From e27ff68eacb9e6d2a1b94878274326a457de9da0 Mon Sep 17 00:00:00 2001
From: Sylvain Dailler <dailler@moloch.lri.fr>
Date: Tue, 23 Oct 2018 14:50:49 +0200
Subject: [PATCH] Update obsolete session

---
 examples/add_list/why3shapes.gz               | Bin 410 -> 409 bytes
 examples/add_list_vc_sp/why3shapes.gz         | Bin 429 -> 429 bytes
 examples/algo63/why3shapes.gz                 | Bin 3609 -> 3615 bytes
 examples/algo63_fastwp/why3shapes.gz          | Bin 3964 -> 3960 bytes
 examples/algo64/why3shapes.gz                 | Bin 390 -> 392 bytes
 examples/algo65/why3shapes.gz                 | Bin 295 -> 296 bytes
 examples/all_distinct/why3shapes.gz           | Bin 332 -> 331 bytes
 examples/arm/why3shapes.gz                    | Bin 481 -> 481 bytes
 .../why3shapes.gz                             | Bin 294 -> 293 bytes
 examples/avl/avl/why3shapes.gz                | Bin 11157 -> 11131 bytes
 examples/avl/priority_queue/why3shapes.gz     | Bin 10196 -> 10168 bytes
 examples/avl/ral/why3shapes.gz                | Bin 3074 -> 3069 bytes
 examples/avl/tables/why3shapes.gz             | Bin 22134 -> 22134 bytes
 examples/bag/why3shapes.gz                    | Bin 3271 -> 3281 bytes
 examples/balance/why3shapes.gz                | Bin 633 -> 633 bytes
 examples/bellman_ford/why3shapes.gz           | Bin 6935 -> 6929 bytes
 examples/binary_multiplication/why3shapes.gz  | Bin 1116 -> 1108 bytes
 examples/binary_search/why3shapes.gz          | Bin 886 -> 886 bytes
 examples/binary_search_vc_sp/why3shapes.gz    | Bin 771 -> 772 bytes
 examples/binary_sort/why3shapes.gz            | Bin 2064 -> 2067 bytes
 examples/binomial_heap/why3shapes.gz          | Bin 4481 -> 4478 bytes
 examples/bitcount/why3session.xml             |   2 +-
 examples/bitcount/why3shapes.gz               | Bin 7323 -> 7310 bytes
 examples/bitvector_examples/why3shapes.gz     | Bin 3368 -> 3367 bytes
 examples/bitwalker/why3session.xml            |   8 +-
 examples/bitwalker/why3shapes.gz              | Bin 7614 -> 7620 bytes
 examples/bresenham/why3shapes.gz              | Bin 294 -> 293 bytes
 examples/bts/116_array_access/why3shapes.gz   | Bin 208 -> 206 bytes
 examples/bts/16972/why3shapes.gz              | Bin 95 -> 95 bytes
 examples/bubble_sort/why3shapes.gz            | Bin 2222 -> 2230 bytes
 .../checking_a_large_routine/why3shapes.gz    | Bin 346 -> 346 bytes
 examples/coincidence_count/why3shapes.gz      | Bin 414 -> 414 bytes
 examples/conjugate/why3shapes.gz              | Bin 575 -> 574 bytes
 examples/counting_sort/why3session.xml        |   4 +-
 examples/counting_sort/why3shapes.gz          | Bin 5434 -> 5411 bytes
 examples/cubic_root/why3shapes.gz             | Bin 499 -> 497 bytes
 examples/cursor_examples/why3shapes.gz        | Bin 2797 -> 2789 bytes
 examples/decrease1/why3shapes.gz              | Bin 1285 -> 1285 bytes
 examples/dfa_example/why3shapes.gz            | Bin 684 -> 685 bytes
 examples/dfs/why3shapes.gz                    | Bin 684 -> 684 bytes
 examples/dijkstra/why3session.xml             |   6 +-
 examples/dijkstra/why3shapes.gz               | Bin 3724 -> 3724 bytes
 examples/division/why3shapes.gz               | Bin 174 -> 174 bytes
 examples/double_wp/compiler/why3shapes.gz     | Bin 15183 -> 15223 bytes
 examples/double_wp/logic/why3shapes.gz        | Bin 1438 -> 1441 bytes
 examples/double_wp/specs/why3shapes.gz        | Bin 3209 -> 3215 bytes
 examples/dyck/why3shapes.gz                   | Bin 1523 -> 1523 bytes
 examples/edit_distance/why3shapes.gz          | Bin 3731 -> 3736 bytes
 examples/esterel/why3shapes.gz                | Bin 1115 -> 1113 bytes
 examples/euler002/why3shapes.gz               | Bin 1248 -> 1245 bytes
 examples/euler011/why3shapes.gz               | Bin 8005 -> 8007 bytes
 examples/ewd673/why3shapes.gz                 | Bin 206 -> 206 bytes
 examples/fact/why3shapes.gz                   | Bin 432 -> 431 bytes
 examples/fact_vc_sp/why3shapes.gz             | Bin 434 -> 433 bytes
 examples/fenwick/why3shapes.gz                | Bin 3203 -> 3207 bytes
 examples/fib_memo/why3shapes.gz               | Bin 273 -> 273 bytes
 examples/fibonacci/why3shapes.gz              | Bin 3532 -> 3532 bytes
 examples/fill/why3shapes.gz                   | Bin 355 -> 353 bytes
 examples/find/why3shapes.gz                   | Bin 2094 -> 2099 bytes
 examples/finite_tarski/why3shapes.gz          | Bin 894 -> 894 bytes
 examples/flag/why3shapes.gz                   | Bin 330 -> 330 bytes
 examples/flag2/why3shapes.gz                  | Bin 1156 -> 1163 bytes
 examples/foveoos11-cm/array_max/why3shapes.gz | Bin 288 -> 287 bytes
 examples/foveoos11-cm/duplets/why3shapes.gz   | Bin 1376 -> 1372 bytes
 examples/foveoos11_challenge1/why3shapes.gz   | Bin 277 -> 278 bytes
 examples/foveoos11_challenge3/why3session.xml |   2 +-
 examples/foveoos11_challenge3/why3shapes.gz   | Bin 4146 -> 4146 bytes
 examples/gcd/why3shapes.gz                    | Bin 1788 -> 1786 bytes
 examples/gcd_bezout/why3shapes.gz             | Bin 743 -> 741 bytes
 examples/gcd_bezout_vc_sp/why3shapes.gz       | Bin 811 -> 816 bytes
 examples/gcd_vc_sp/why3shapes.gz              | Bin 1671 -> 1671 bytes
 examples/generate_all_trees/why3session.xml   |   4 +-
 examples/generate_all_trees/why3shapes.gz     | Bin 3042 -> 3047 bytes
 examples/gnome_sort/why3shapes.gz             | Bin 870 -> 875 bytes
 examples/hashtbl_impl/why3shapes.gz           | Bin 5513 -> 5516 bytes
 examples/hillel_challenge/why3shapes.gz       | Bin 8463 -> 8469 bytes
 examples/induction/why3shapes.gz              | Bin 407 -> 407 bytes
 examples/insertion_sort/why3shapes.gz         | Bin 2879 -> 2881 bytes
 examples/insertion_sort_naive/why3shapes.gz   | Bin 791 -> 791 bytes
 examples/inverse_in_place/why3shapes.gz       | Bin 1894 -> 1897 bytes
 examples/isqrt/why3shapes.gz                  | Bin 1526 -> 1522 bytes
 examples/isqrt_von_neumann/why3session.xml    |  12 +-
 examples/isqrt_von_neumann/why3shapes.gz      | Bin 8299 -> 8256 bytes
 examples/kmp/why3shapes.gz                    | Bin 3865 -> 3859 bytes
 examples/knuth_prime_numbers/why3shapes.gz    | Bin 3474 -> 3467 bytes
 examples/koda_ruskey/why3session.xml          |   2 +-
 examples/koda_ruskey/why3shapes.gz            | Bin 10568 -> 10570 bytes
 examples/largest_prime_factor/why3shapes.gz   | Bin 3248 -> 3245 bytes
 examples/lcp/why3shapes.gz                    | Bin 278 -> 277 bytes
 examples/linear_probing/why3session.xml       |   2 +-
 examples/linear_probing/why3shapes.gz         | Bin 13618 -> 13633 bytes
 examples/linked_list_rev/why3session.xml      |   2 +-
 examples/linked_list_rev/why3shapes.gz        | Bin 9071 -> 9073 bytes
 examples/max_matrix/why3session.xml           |   2 +-
 examples/max_matrix/why3shapes.gz             | Bin 2267 -> 2271 bytes
 examples/maximum_subarray/why3shapes.gz       | Bin 7643 -> 7656 bytes
 examples/mccarthy/why3shapes.gz               | Bin 2100 -> 2096 bytes
 examples/mccarthy_vc_sp/why3shapes.gz         | Bin 1005 -> 1007 bytes
 examples/mergesort_array/why3session.xml      |  12 +-
 examples/mergesort_array/why3shapes.gz        | Bin 12043 -> 12050 bytes
 examples/mergesort_queue/why3shapes.gz        | Bin 2763 -> 2757 bytes
 examples/mex/why3shapes.gz                    | Bin 4279 -> 4280 bytes
 examples/mjrty/why3shapes.gz                  | Bin 280 -> 281 bytes
 examples/muller/why3shapes.gz                 | Bin 349 -> 347 bytes
 examples/multiprecision/add/why3session.xml   |  24 +-
 examples/multiprecision/add/why3shapes.gz     | Bin 28836 -> 28868 bytes
 examples/multiprecision/compare/why3shapes.gz | Bin 2476 -> 2473 bytes
 examples/multiprecision/lemmas/why3shapes.gz  | Bin 3939 -> 3941 bytes
 .../multiprecision/logical/why3session.xml    |  24 +-
 examples/multiprecision/logical/why3shapes.gz | Bin 27253 -> 27246 bytes
 examples/multiprecision/mul/why3session.xml   |  28 +-
 examples/multiprecision/mul/why3shapes.gz     | Bin 24008 -> 24057 bytes
 examples/multiprecision/sub/why3session.xml   |  76 ++--
 examples/multiprecision/sub/why3shapes.gz     | Bin 27944 -> 27993 bytes
 examples/multiprecision/util/why3shapes.gz    | Bin 3573 -> 3571 bytes
 examples/nistonacci/why3shapes.gz             | Bin 351 -> 352 bytes
 examples/optimal_replay/why3shapes.gz         | Bin 2558 -> 2556 bytes
 examples/pancake_sorting/why3shapes.gz        | Bin 3052 -> 3020 bytes
 examples/patience/why3shapes.gz               | Bin 7535 -> 7540 bytes
 examples/pigeonhole/why3shapes.gz             | Bin 1052 -> 1052 bytes
 examples/power/why3shapes.gz                  | Bin 895 -> 899 bytes
 examples/power_vc_sp/why3shapes.gz            | Bin 768 -> 775 bytes
 examples/prover/BacktrackArray/why3shapes.gz  | Bin 12076 -> 12081 bytes
 .../Firstorder_formula_impl/why3session.xml   | 346 +++++++++---------
 .../Firstorder_formula_impl/why3shapes.gz     | Bin 45599 -> 45519 bytes
 .../why3session.xml                           |   2 +-
 .../why3shapes.gz                             | Bin 13831 -> 13852 bytes
 .../prover/Firstorder_semantics/why3shapes.gz | Bin 8041 -> 8053 bytes
 .../Firstorder_symbol_impl/why3shapes.gz      | Bin 2523 -> 2528 bytes
 .../Firstorder_tableau_impl/why3session.xml   |   6 +-
 .../Firstorder_tableau_impl/why3shapes.gz     | Bin 11337 -> 11347 bytes
 .../prover/Firstorder_term_impl/why3shapes.gz | Bin 22969 -> 22920 bytes
 .../FormulaTransformations/why3session.xml    |   8 +-
 .../FormulaTransformations/why3shapes.gz      | Bin 51725 -> 51772 bytes
 examples/prover/Prover/why3session.xml        |   4 +-
 examples/prover/Prover/why3shapes.gz          | Bin 111141 -> 111115 bytes
 examples/prover/ProverMain/why3shapes.gz      | Bin 1985 -> 1982 bytes
 examples/prover/ProverTest/why3shapes.gz      | Bin 1929 -> 1924 bytes
 examples/prover/Unification/why3session.xml   |  44 +--
 examples/prover/Unification/why3shapes.gz     | Bin 47912 -> 47961 bytes
 examples/queens_bv/why3shapes.gz              | Bin 8721 -> 8717 bytes
 examples/quicksort/why3shapes.gz              | Bin 4394 -> 4389 bytes
 examples/random_access_list/why3shapes.gz     | Bin 4555 -> 4555 bytes
 examples/register_allocation/why3shapes.gz    | Bin 9763 -> 9774 bytes
 examples/relabel/why3session.xml              |   2 +-
 examples/relabel/why3shapes.gz                | Bin 368 -> 367 bytes
 examples/remove_duplicate/why3session.xml     |   2 +-
 examples/remove_duplicate/why3shapes.gz       | Bin 2667 -> 2669 bytes
 examples/remove_duplicate_hash/why3shapes.gz  | Bin 1823 -> 1822 bytes
 examples/resizable_array/why3shapes.gz        | Bin 3362 -> 3352 bytes
 examples/rightmostbittrick/why3shapes.gz      | Bin 780 -> 778 bytes
 examples/ropes/why3shapes.gz                  | Bin 3324 -> 3324 bytes
 examples/schorr_waite/why3session.xml         |  40 +-
 examples/schorr_waite/why3shapes.gz           | Bin 13755 -> 13853 bytes
 .../why3session.xml                           |   6 +-
 .../schorr_waite_via_recursion/why3shapes.gz  | Bin 8306 -> 8324 bytes
 examples/selection_sort/why3shapes.gz         | Bin 1689 -> 1690 bytes
 examples/sf/why3shapes.gz                     | Bin 1023 -> 1030 bytes
 examples/sieve/why3shapes.gz                  | Bin 3514 -> 3530 bytes
 examples/simple_queue/why3shapes.gz           | Bin 972 -> 972 bytes
 examples/skew_heaps/why3shapes.gz             | Bin 2497 -> 2498 bytes
 examples/snapshotable_trees/why3shapes.gz     | Bin 1138 -> 1138 bytes
 examples/stdlib/array/why3session.xml         |   2 +-
 examples/stdlib/array/why3shapes.gz           | Bin 3637 -> 3639 bytes
 examples/sudoku/why3shapes.gz                 | Bin 8022 -> 8030 bytes
 examples/sumrange/why3session.xml             |  12 +-
 examples/sumrange/why3shapes.gz               | Bin 6852 -> 6839 bytes
 examples/swap/why3shapes.gz                   | Bin 365 -> 363 bytes
 examples/topological_sorting/why3shapes.gz    | Bin 4748 -> 4762 bytes
 examples/tortoise_and_hare/why3shapes.gz      | Bin 7194 -> 7170 bytes
 examples/tower_of_hanoi/why3session.xml       |   4 +-
 examples/tower_of_hanoi/why3shapes.gz         | Bin 2863 -> 2861 bytes
 examples/tree_height/why3shapes.gz            | Bin 2315 -> 2326 bytes
 examples/tree_of_array/why3shapes.gz          | Bin 1927 -> 1936 bytes
 .../unraveling_a_card_trick/why3shapes.gz     | Bin 893 -> 892 bytes
 .../vacid_0_binary_heaps/proofs/why3shapes.gz | Bin 8447 -> 8441 bytes
 examples/vacid_0_build_maze/why3shapes.gz     | Bin 600 -> 602 bytes
 .../vacid_0_red_black_trees/why3shapes.gz     | Bin 4325 -> 4326 bytes
 examples/vacid_0_sparse_array/why3shapes.gz   | Bin 2199 -> 2203 bytes
 .../why3shapes.gz                             | Bin 968 -> 966 bytes
 .../why3shapes.gz                             | Bin 2457 -> 2454 bytes
 .../why3shapes.gz                             | Bin 1094 -> 1090 bytes
 .../matrices_ring_simp/why3shapes.gz          | Bin 8648 -> 8651 bytes
 .../naive/why3session.xml                     |   4 +-
 .../naive/why3shapes.gz                       | Bin 2233 -> 2256 bytes
 .../why3session.xml                           |   2 +-
 .../why3shapes.gz                             | Bin 6524 -> 6504 bytes
 .../why3shapes.gz                             | Bin 4317 -> 4321 bytes
 .../why3session.xml                           |   2 +-
 .../why3shapes.gz                             | Bin 7270 -> 7266 bytes
 .../why3shapes.gz                             | Bin 2984 -> 2973 bytes
 .../why3shapes.gz                             | Bin 8403 -> 8403 bytes
 .../verifythis_2017_tree_buffer/why3shapes.gz | Bin 1811 -> 1813 bytes
 .../why3session.xml                           |   8 +-
 .../why3shapes.gz                             | Bin 12779 -> 12795 bytes
 .../why3session.xml                           |   2 +-
 .../why3shapes.gz                             | Bin 18610 -> 18619 bytes
 .../why3shapes.gz                             | Bin 9371 -> 9378 bytes
 .../why3shapes.gz                             | Bin 1445 -> 1443 bytes
 .../why3shapes.gz                             | Bin 2767 -> 2751 bytes
 .../verifythis_PrefixSumRec/why3shapes.gz     | Bin 6198 -> 6204 bytes
 .../verifythis_fm2012_LRS/why3session.xml     |   2 +-
 examples/verifythis_fm2012_LRS/why3shapes.gz  | Bin 7035 -> 7037 bytes
 .../verifythis_fm2012_treedel/why3session.xml |   6 +-
 .../verifythis_fm2012_treedel/why3shapes.gz   | Bin 4507 -> 4596 bytes
 examples/vstte10_aqueue/why3shapes.gz         | Bin 520 -> 520 bytes
 examples/vstte10_inverting/why3shapes.gz      | Bin 2123 -> 2122 bytes
 examples/vstte10_max_sum/why3shapes.gz        | Bin 1920 -> 1929 bytes
 examples/vstte10_queens/why3shapes.gz         | Bin 2302 -> 2295 bytes
 examples/vstte10_search_list/why3shapes.gz    | Bin 1100 -> 1098 bytes
 examples/vstte12_bfs/why3shapes.gz            | Bin 3807 -> 3792 bytes
 examples/vstte12_ring_buffer/why3session.xml  |   2 +-
 examples/vstte12_ring_buffer/why3shapes.gz    | Bin 3812 -> 3811 bytes
 examples/vstte12_two_way_sort/why3shapes.gz   | Bin 323 -> 322 bytes
 examples/warshall_algorithm/why3shapes.gz     | Bin 1989 -> 1990 bytes
 examples/white_and_black_balls/why3shapes.gz  | Bin 276 -> 276 bytes
 examples/zeros/why3shapes.gz                  | Bin 849 -> 850 bytes
 217 files changed, 358 insertions(+), 358 deletions(-)

diff --git a/examples/add_list/why3shapes.gz b/examples/add_list/why3shapes.gz
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diff --git a/examples/add_list_vc_sp/why3shapes.gz b/examples/add_list_vc_sp/why3shapes.gz
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diff --git a/examples/algo63/why3shapes.gz b/examples/algo63/why3shapes.gz
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diff --git a/examples/algo63_fastwp/why3shapes.gz b/examples/algo63_fastwp/why3shapes.gz
index e799ade0b435e183bf6608c8a5192a3903ac4d31..903cc413ee49de71234211326bd241f1544f9792 100644
GIT binary patch
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diff --git a/examples/algo64/why3shapes.gz b/examples/algo64/why3shapes.gz
index 7914338d6e17d32207ddc7e4bbb3ad76c407354f..8782aaaaf07e8a6e47776d0ee47ff67a5e6aae6d 100644
GIT binary patch
literal 392
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literal 390
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diff --git a/examples/algo65/why3shapes.gz b/examples/algo65/why3shapes.gz
index 749b13f067f921eb92e97b547598a61005b79b88..862258c397644dc1e402177611d81a1d34752d8a 100644
GIT binary patch
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diff --git a/examples/all_distinct/why3shapes.gz b/examples/all_distinct/why3shapes.gz
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GIT binary patch
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diff --git a/examples/arm/why3shapes.gz b/examples/arm/why3shapes.gz
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GIT binary patch
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diff --git a/examples/assigning_meanings_to_programs/why3shapes.gz b/examples/assigning_meanings_to_programs/why3shapes.gz
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GIT binary patch
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diff --git a/examples/avl/avl/why3shapes.gz b/examples/avl/avl/why3shapes.gz
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diff --git a/examples/avl/tables/why3shapes.gz b/examples/avl/tables/why3shapes.gz
index 566195b04746fc6f9681e710c085675e55363e94..0a0229843d5ae4fb66f5a58599285a068d5d19bf 100644
GIT binary patch
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diff --git a/examples/bag/why3shapes.gz b/examples/bag/why3shapes.gz
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diff --git a/examples/bellman_ford/why3shapes.gz b/examples/bellman_ford/why3shapes.gz
index aae0dbb068440773e38f9def9734851a9bc928c8..2ffc192e979a674a7aa7c21e373db6afb3c93aa6 100644
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diff --git a/examples/binary_multiplication/why3shapes.gz b/examples/binary_multiplication/why3shapes.gz
index 19fbaf73bb766963a93b79809302c9e2d1afa9e2..ed0eca5dc909fb0cd8b5817b05ef40131fc590e6 100644
GIT binary patch
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diff --git a/examples/binary_search/why3shapes.gz b/examples/binary_search/why3shapes.gz
index 392886c58cb72fe65b82a6e6270ee5e1d34e54fc..86f68e24539e185d0b5c50f6ed9fc082e567591b 100644
GIT binary patch
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diff --git a/examples/binary_search_vc_sp/why3shapes.gz b/examples/binary_search_vc_sp/why3shapes.gz
index 35d47ecd4a8d781a0f3a9b2e4045f90c10836f52..bb8c4d5e8a97a055e7dde6f008a552308a0f779d 100644
GIT binary patch
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diff --git a/examples/binary_sort/why3shapes.gz b/examples/binary_sort/why3shapes.gz
index 4c2d7dd0892ff6eeb51b2f72b03f6db1d866eae3..877250d631083f728204597d7b93afb40bef2550 100644
GIT binary patch
literal 2067
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diff --git a/examples/binomial_heap/why3shapes.gz b/examples/binomial_heap/why3shapes.gz
index 65e0441946adfe835e73075fea834b5c6f5fd9d1..013cc0e8283d8c48087956247b62f647c1c23aa0 100644
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diff --git a/examples/bitcount/why3session.xml b/examples/bitcount/why3session.xml
index 17e2a89c7a..a55c5de2e9 100644
--- a/examples/bitcount/why3session.xml
+++ b/examples/bitcount/why3session.xml
@@ -300,7 +300,7 @@
    <proof prover="5"><result status="valid" time="0.12"/></proof>
    </goal>
    <goal name="VC proof1.6.2" expl="VC for proof1" proved="true">
-   <proof prover="4"><result status="valid" time="1.32"/></proof>
+   <proof prover="4"><result status="valid" time="1.00"/></proof>
    <proof prover="6"><result status="valid" time="0.04" steps="96"/></proof>
    </goal>
   </transf>
diff --git a/examples/bitcount/why3shapes.gz b/examples/bitcount/why3shapes.gz
index b9d96838ab17634c68b10850a57bb75f8fc8ab98..5df61f340eab96c4cf074f4c40b09376a96a4a6b 100644
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diff --git a/examples/bitvector_examples/why3shapes.gz b/examples/bitvector_examples/why3shapes.gz
index 98440c42f47e5b9e974a8c62956cbff198843eff..94d7df2ca0e646e8d7b2f38adfa13cdba23f3158 100644
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diff --git a/examples/bitwalker/why3session.xml b/examples/bitwalker/why3session.xml
index 804182a4ab..fd7d815076 100644
--- a/examples/bitwalker/why3session.xml
+++ b/examples/bitwalker/why3session.xml
@@ -269,7 +269,7 @@
   <proof prover="12"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC poke.5" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.01"/></proof>
+  <proof prover="12"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC poke.6" expl="postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.02"/></proof>
@@ -284,7 +284,7 @@
   <proof prover="12"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC poke.10" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.02"/></proof>
+  <proof prover="12"><result status="valid" time="0.01"/></proof>
   </goal>
   <goal name="VC poke.11" expl="precondition" proved="true">
   <proof prover="12"><result status="valid" time="0.04"/></proof>
@@ -293,13 +293,13 @@
   <proof prover="12"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC poke.13" expl="loop invariant init" proved="true">
-  <proof prover="12"><result status="valid" time="0.02"/></proof>
+  <proof prover="12"><result status="valid" time="0.01"/></proof>
   </goal>
   <goal name="VC poke.14" expl="loop invariant init" proved="true">
   <proof prover="12"><result status="valid" time="0.01"/></proof>
   </goal>
   <goal name="VC poke.15" expl="loop invariant init" proved="true">
-  <proof prover="12"><result status="valid" time="0.01"/></proof>
+  <proof prover="12"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC poke.16" expl="precondition" proved="true">
   <proof prover="12"><result status="valid" time="0.03"/></proof>
diff --git a/examples/bitwalker/why3shapes.gz b/examples/bitwalker/why3shapes.gz
index 3635ad168e4e573e92fc3a1a323bb6784c51d982..b36e61b115f0c09c4aded420a30e54160a752174 100644
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diff --git a/examples/bresenham/why3shapes.gz b/examples/bresenham/why3shapes.gz
index cb64a1de0e15a7a539f38775b450e37d3ff2763d..adc20c3ef61752247a0a1c79cd16c14b8020a00b 100644
GIT binary patch
literal 293
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literal 294
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diff --git a/examples/bts/116_array_access/why3shapes.gz b/examples/bts/116_array_access/why3shapes.gz
index 219f4310b2e720abf022bc433c36b99251330f8c..526c9451769c8a1db2174ceb20b3217ec025aff9 100644
GIT binary patch
literal 206
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literal 208
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diff --git a/examples/bts/16972/why3shapes.gz b/examples/bts/16972/why3shapes.gz
index 5c499295c8218b81d569ba1d5f5e7b15133c6d7e..13820155aaaa79d70d22bc004c078aa7e2cd9c41 100644
GIT binary patch
delta 58
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delta 58
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diff --git a/examples/bubble_sort/why3shapes.gz b/examples/bubble_sort/why3shapes.gz
index 5d19a34474b930dbd926bc9cd91689f272d6322f..c588b6ac71cfaa58be8f5f8fde1dc3299eda3922 100644
GIT binary patch
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diff --git a/examples/checking_a_large_routine/why3shapes.gz b/examples/checking_a_large_routine/why3shapes.gz
index 10bc23d7d45cadb00fac30269bef0a9f2e56eb87..a2a318fbab25bc5a7e8424704b9f2ff50f5a4d83 100644
GIT binary patch
literal 346
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diff --git a/examples/coincidence_count/why3shapes.gz b/examples/coincidence_count/why3shapes.gz
index d110ef01aea5f3a3871c50435e19e257fd762c10..7aa33a168f373828d99d2adfb081a73dc10e25c1 100644
GIT binary patch
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delta 401
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diff --git a/examples/conjugate/why3shapes.gz b/examples/conjugate/why3shapes.gz
index 91a114765c1048268b78df56d54070033334e0e7..164b569f3df85e8f0030c4a9201bfa9b04056435 100644
GIT binary patch
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diff --git a/examples/counting_sort/why3session.xml b/examples/counting_sort/why3session.xml
index 0ff71a2986..9188c8c05d 100644
--- a/examples/counting_sort/why3session.xml
+++ b/examples/counting_sort/why3session.xml
@@ -77,7 +77,7 @@
   <proof prover="0"><result status="valid" time="0.04"/></proof>
   </goal>
   <goal name="VC counting_sort.21" expl="loop invariant preservation" proved="true">
-  <proof prover="0" timelimit="10" memlimit="4000"><result status="valid" time="0.86"/></proof>
+  <proof prover="0" timelimit="10" memlimit="4000"><result status="valid" time="1.12"/></proof>
   </goal>
   <goal name="VC counting_sort.22" expl="loop invariant preservation" proved="true">
   <proof prover="1"><result status="valid" time="0.10" steps="204"/></proof>
@@ -179,7 +179,7 @@
   <proof prover="0"><result status="valid" time="0.03"/></proof>
   </goal>
   <goal name="VC in_place_counting_sort.22" expl="loop invariant preservation" proved="true">
-  <proof prover="0"><result status="valid" time="0.38"/></proof>
+  <proof prover="0"><result status="valid" time="0.53"/></proof>
   </goal>
   <goal name="VC in_place_counting_sort.23" expl="loop invariant preservation" proved="true">
   <proof prover="1"><result status="valid" time="0.13" steps="234"/></proof>
diff --git a/examples/counting_sort/why3shapes.gz b/examples/counting_sort/why3shapes.gz
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diff --git a/examples/cubic_root/why3shapes.gz b/examples/cubic_root/why3shapes.gz
index d9d48263eeb6c412f4ce2297606525a851cd0d7e..a7b15dd131156629bcf839b53e0d38f6985bc505 100644
GIT binary patch
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diff --git a/examples/cursor_examples/why3shapes.gz b/examples/cursor_examples/why3shapes.gz
index a9b1b1d5c2231072d92eb43e972ae41e3527b4d8..724b501cc9945a3626cf2b8b8f58f4be5286c033 100644
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diff --git a/examples/decrease1/why3shapes.gz b/examples/decrease1/why3shapes.gz
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diff --git a/examples/dfa_example/why3shapes.gz b/examples/dfa_example/why3shapes.gz
index a3d1f7f0612943ef2eb2c72ccf96184b32b3927f..977a1a24188f7f4f3cd31503a7f612a0128d435f 100644
GIT binary patch
literal 685
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diff --git a/examples/dfs/why3shapes.gz b/examples/dfs/why3shapes.gz
index 6b744b8d457ce03628108963c1bb1732eb1f4430..7894998924252503c548b95d1f122da60a15613c 100644
GIT binary patch
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diff --git a/examples/dijkstra/why3session.xml b/examples/dijkstra/why3session.xml
index 35dbaae450..63cc89e01a 100644
--- a/examples/dijkstra/why3session.xml
+++ b/examples/dijkstra/why3session.xml
@@ -16,13 +16,13 @@
   <proof prover="7"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC relax.1" expl="postcondition" proved="true">
-  <proof prover="7"><result status="valid" time="0.04"/></proof>
+  <proof prover="7"><result status="valid" time="0.01"/></proof>
   </goal>
   <goal name="VC relax.2" expl="postcondition" proved="true">
   <proof prover="7"><result status="valid" time="0.04"/></proof>
   </goal>
   <goal name="VC relax.3" expl="postcondition" proved="true">
-  <proof prover="7"><result status="valid" time="0.01"/></proof>
+  <proof prover="7"><result status="valid" time="0.04"/></proof>
   </goal>
  </transf>
  </goal>
@@ -108,7 +108,7 @@
   <proof prover="7"><result status="valid" time="0.03"/></proof>
   </goal>
   <goal name="VC shortest_path_code.6" expl="loop invariant init" proved="true">
-  <proof prover="2"><result status="valid" time="2.45"/></proof>
+  <proof prover="2"><result status="valid" time="3.78"/></proof>
   <proof prover="5"><result status="valid" time="1.46"/></proof>
   </goal>
   <goal name="VC shortest_path_code.7" expl="loop invariant init" proved="true">
diff --git a/examples/dijkstra/why3shapes.gz b/examples/dijkstra/why3shapes.gz
index 9a19d1ae061a28b9c2e090edd82d31cc5b22e268..01294fe7c25d60fb6903b5fb5f355bbac473175d 100644
GIT binary patch
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diff --git a/examples/division/why3shapes.gz b/examples/division/why3shapes.gz
index 5d3a5a8b9a2b2694629233aace78dae4bb5ca4a0..ae20351b1585f82610c5834d8a73ed28f6ea9f08 100644
GIT binary patch
literal 174
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literal 174
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diff --git a/examples/double_wp/compiler/why3shapes.gz b/examples/double_wp/compiler/why3shapes.gz
index ae3bc85cd1b8358190a06ac7c0ef97a7aa0fe752..8748c2b7b76a977ef6ef087ab30d9a068b9c67bd 100644
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diff --git a/examples/double_wp/logic/why3shapes.gz b/examples/double_wp/logic/why3shapes.gz
index 00a9240904a8fa63c268e22c249ed7c583902499..79c300677ca3a681be30551b1deec00952708e5d 100644
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diff --git a/examples/double_wp/specs/why3shapes.gz b/examples/double_wp/specs/why3shapes.gz
index df70a68b434e8472e206d0c505d6d9f0818005be..1b3217592ebdd6df39094de516c8c517a17321ca 100644
GIT binary patch
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diff --git a/examples/dyck/why3shapes.gz b/examples/dyck/why3shapes.gz
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diff --git a/examples/edit_distance/why3shapes.gz b/examples/edit_distance/why3shapes.gz
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diff --git a/examples/esterel/why3shapes.gz b/examples/esterel/why3shapes.gz
index f4941acde086dd97bae6427a4f254db1caea5051..b11ba638e69480154e658c357845fe11e71352f4 100644
GIT binary patch
delta 998
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delta 1000
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diff --git a/examples/euler011/why3shapes.gz b/examples/euler011/why3shapes.gz
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diff --git a/examples/ewd673/why3shapes.gz b/examples/ewd673/why3shapes.gz
index 5290ed0e0cb52509bc686fc4bb4fcef11e025bce..e6ab71a8268d91c46fc3fa1ff00174e371bab5d6 100644
GIT binary patch
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diff --git a/examples/fact/why3shapes.gz b/examples/fact/why3shapes.gz
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GIT binary patch
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diff --git a/examples/fact_vc_sp/why3shapes.gz b/examples/fact_vc_sp/why3shapes.gz
index c4765bb754f538206b4b9f1c71cb863b6c6493ad..99a84844961b386e3493651ea5f05b047ecff063 100644
GIT binary patch
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diff --git a/examples/fenwick/why3shapes.gz b/examples/fenwick/why3shapes.gz
index 19d3268b1f343170e503c4848ec99652c4fdfa50..9cdeabefc4dcffc5e123aa4ed044059ec02ced1a 100644
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diff --git a/examples/fib_memo/why3shapes.gz b/examples/fib_memo/why3shapes.gz
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diff --git a/examples/fibonacci/why3shapes.gz b/examples/fibonacci/why3shapes.gz
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diff --git a/examples/fill/why3shapes.gz b/examples/fill/why3shapes.gz
index 245bdcaef3e70bc428fc97482c31e96f3b4b3e1b..f3395ae68ece01bab72ede559230a266f176d9fb 100644
GIT binary patch
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diff --git a/examples/find/why3shapes.gz b/examples/find/why3shapes.gz
index 8aaf5492f4d577b13e4bd3a1699d20f0779d19b0..37bc78444d699826ec3ceec215e484688dcde147 100644
GIT binary patch
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diff --git a/examples/finite_tarski/why3shapes.gz b/examples/finite_tarski/why3shapes.gz
index 439b743a92c8031dc0bbd9430307f43564e221fd..4053518c96d124362bbacd67b05def4a5bf41a06 100644
GIT binary patch
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diff --git a/examples/flag/why3shapes.gz b/examples/flag/why3shapes.gz
index bf5cdc64b252e9f02441c84518390e500ed2f523..57623b88c537aa2d0050268c559ff005ec0104a0 100644
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diff --git a/examples/flag2/why3shapes.gz b/examples/flag2/why3shapes.gz
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diff --git a/examples/foveoos11-cm/array_max/why3shapes.gz b/examples/foveoos11-cm/array_max/why3shapes.gz
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diff --git a/examples/foveoos11-cm/duplets/why3shapes.gz b/examples/foveoos11-cm/duplets/why3shapes.gz
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diff --git a/examples/foveoos11_challenge1/why3shapes.gz b/examples/foveoos11_challenge1/why3shapes.gz
index f585d2b271936041acdcc0fdec3fa2a7a621f58f..a7031ecf2e91796b2d00e2ac6ce95f55a512b4f7 100644
GIT binary patch
literal 278
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diff --git a/examples/foveoos11_challenge3/why3session.xml b/examples/foveoos11_challenge3/why3session.xml
index 5f76463e34..30f02ab8aa 100644
--- a/examples/foveoos11_challenge3/why3session.xml
+++ b/examples/foveoos11_challenge3/why3session.xml
@@ -157,7 +157,7 @@
   </transf>
   </goal>
   <goal name="VC two_equal_elements.33" expl="loop invariant preservation" proved="true">
-  <proof prover="0"><result status="valid" time="0.70"/></proof>
+  <proof prover="0"><result status="valid" time="0.50"/></proof>
   </goal>
   <goal name="VC two_equal_elements.34" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.04"/></proof>
diff --git a/examples/foveoos11_challenge3/why3shapes.gz b/examples/foveoos11_challenge3/why3shapes.gz
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diff --git a/examples/gcd/why3shapes.gz b/examples/gcd/why3shapes.gz
index 8cbe3f430dd7d9d65cf5b2074c9c159362ef8663..e45167c1d5589d00f9c4c2de6a2bcc6fa425ba03 100644
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diff --git a/examples/gcd_bezout/why3shapes.gz b/examples/gcd_bezout/why3shapes.gz
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diff --git a/examples/gcd_bezout_vc_sp/why3shapes.gz b/examples/gcd_bezout_vc_sp/why3shapes.gz
index 9e6b0d7e583dd2bd6ab8adb7accc5eeebee0991a..e72d4c2c7e37153f451fe2f64db49eed737b0e95 100644
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diff --git a/examples/gcd_vc_sp/why3shapes.gz b/examples/gcd_vc_sp/why3shapes.gz
index 5f831c44e4e80659d21cc9de69b971b94c15a17c..b152c509b48868503ef5f3b833ec634eaa85aa5a 100644
GIT binary patch
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diff --git a/examples/generate_all_trees/why3session.xml b/examples/generate_all_trees/why3session.xml
index bf46418012..fc8efa21db 100644
--- a/examples/generate_all_trees/why3session.xml
+++ b/examples/generate_all_trees/why3session.xml
@@ -19,10 +19,10 @@
   <goal name="size_left.0" proved="true">
   <transf name="destruct_alg" proved="true" arg1="t">
    <goal name="size_left.0.0" proved="true">
-   <proof prover="3"><result status="valid" time="0.01"/></proof>
+   <proof prover="3"><result status="valid" time="0.02"/></proof>
    </goal>
    <goal name="size_left.0.1" proved="true">
-   <proof prover="3"><result status="valid" time="0.02"/></proof>
+   <proof prover="3"><result status="valid" time="0.01"/></proof>
    </goal>
   </transf>
   </goal>
diff --git a/examples/generate_all_trees/why3shapes.gz b/examples/generate_all_trees/why3shapes.gz
index 49041fce15159b534eeb10438bf08c838ac72ad8..5d8e01ee3bd3b524493da5b47eed101e4229a372 100644
GIT binary patch
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diff --git a/examples/gnome_sort/why3shapes.gz b/examples/gnome_sort/why3shapes.gz
index c7531a7d87b0974fa11702ba8ac8a31e43759327..a588f14057296076f257d028e1ce2ca0f810e93d 100644
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diff --git a/examples/hashtbl_impl/why3shapes.gz b/examples/hashtbl_impl/why3shapes.gz
index 7cdf03ca1c4b078742a0388ded7482da8ce28284..0ffdd015aea13af1bf04e620c47a07cd599e1e82 100644
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diff --git a/examples/induction/why3shapes.gz b/examples/induction/why3shapes.gz
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diff --git a/examples/insertion_sort/why3shapes.gz b/examples/insertion_sort/why3shapes.gz
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diff --git a/examples/insertion_sort_naive/why3shapes.gz b/examples/insertion_sort_naive/why3shapes.gz
index 14a86eb7a3ab2309c390140f41ade93dca8a6ac6..5f15aff2d2b8f1ba90cdf0686ecbb8f58ae4e3c2 100644
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diff --git a/examples/inverse_in_place/why3shapes.gz b/examples/inverse_in_place/why3shapes.gz
index 312e38aed87f713774273ea6682498cd6171a763..6fe9e9715df0858ed81c6c6d9c383d73c9f58c3f 100644
GIT binary patch
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diff --git a/examples/isqrt/why3shapes.gz b/examples/isqrt/why3shapes.gz
index 0222c55a9f060148fe6cfb7332f835b1aa67d893..ba4e6affee7a3859168db1d29b1251b4050f83cb 100644
GIT binary patch
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diff --git a/examples/isqrt_von_neumann/why3session.xml b/examples/isqrt_von_neumann/why3session.xml
index a775d2c6cb..3a1b7194a0 100644
--- a/examples/isqrt_von_neumann/why3session.xml
+++ b/examples/isqrt_von_neumann/why3session.xml
@@ -380,7 +380,7 @@
   <proof prover="3"><result status="valid" time="0.50"/></proof>
   </goal>
   <goal name="VC isqrt64.22" expl="loop invariant preservation" proved="true">
-  <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="2.06"/></proof>
+  <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="2.42"/></proof>
   </goal>
   <goal name="VC isqrt64.23" expl="loop invariant preservation" proved="true">
   <proof prover="3" timelimit="60"><result status="valid" time="1.70"/></proof>
@@ -401,7 +401,7 @@
     <goal name="VC isqrt64.27.0.0" expl="loop invariant preservation" proved="true">
     <transf name="rewrite" proved="true" arg1="sqr_add2">
      <goal name="VC isqrt64.27.0.0.0" expl="loop invariant preservation" proved="true">
-     <proof prover="3" timelimit="30"><result status="valid" time="5.15"/></proof>
+     <proof prover="3" timelimit="30"><result status="valid" time="5.80"/></proof>
      </goal>
     </transf>
     </goal>
@@ -611,7 +611,7 @@
                        </transf>
                        </goal>
                        <goal name="VC isqrt64.40.0.0.0.1.0.0.1.0.1.1.0.0.1.1.1.0.0.1.0.0.1" expl="rewrite premises" proved="true">
-                       <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="1.85"/></proof>
+                       <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="2.24"/></proof>
                        </goal>
                       </transf>
                       </goal>
@@ -650,7 +650,7 @@
                               </transf>
                               </goal>
                               <goal name="VC isqrt64.40.0.0.0.1.0.0.1.0.1.1.0.0.1.1.1.0.0.1.0.1.0.0.1.0.0.0.0.1" expl="rewrite premises" proved="true">
-                              <proof prover="3" timelimit="5"><result status="valid" time="1.90"/></proof>
+                              <proof prover="3" timelimit="5"><result status="valid" time="2.34"/></proof>
                               </goal>
                              </transf>
                              </goal>
@@ -674,12 +674,12 @@
                         </transf>
                         </goal>
                         <goal name="VC isqrt64.40.0.0.0.1.0.0.1.0.1.1.0.0.1.1.1.0.0.1.0.1.0.1" expl="rewrite premises" proved="true">
-                        <proof prover="3" timelimit="5"><result status="valid" time="1.20"/></proof>
+                        <proof prover="3" timelimit="5"><result status="valid" time="1.47"/></proof>
                         </goal>
                        </transf>
                        </goal>
                        <goal name="VC isqrt64.40.0.0.0.1.0.0.1.0.1.1.0.0.1.1.1.0.0.1.0.1.1" expl="rewrite premises" proved="true">
-                       <proof prover="3" timelimit="5"><result status="valid" time="1.84"/></proof>
+                       <proof prover="3" timelimit="5"><result status="valid" time="2.16"/></proof>
                        </goal>
                       </transf>
                       </goal>
diff --git a/examples/isqrt_von_neumann/why3shapes.gz b/examples/isqrt_von_neumann/why3shapes.gz
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diff --git a/examples/knuth_prime_numbers/why3shapes.gz b/examples/knuth_prime_numbers/why3shapes.gz
index 4a11c6a45b48b1497b94a3e26678d6b8285d4ad3..2aa6421520a42661922d79a4bc1fe550aa90a376 100644
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diff --git a/examples/koda_ruskey/why3session.xml b/examples/koda_ruskey/why3session.xml
index 3bf0b82418..e5c8b3615f 100644
--- a/examples/koda_ruskey/why3session.xml
+++ b/examples/koda_ruskey/why3session.xml
@@ -549,7 +549,7 @@
   <proof prover="4"><result status="valid" time="0.04"/></proof>
   </goal>
   <goal name="VC enum.2" expl="postcondition" proved="true">
-  <proof prover="1"><result status="valid" time="0.02" steps="8"/></proof>
+  <proof prover="1"><result status="valid" time="0.02" steps="21"/></proof>
   <proof prover="4"><result status="valid" time="0.04"/></proof>
   </goal>
   <goal name="VC enum.3" expl="postcondition" proved="true">
diff --git a/examples/koda_ruskey/why3shapes.gz b/examples/koda_ruskey/why3shapes.gz
index 0cb378996e34231bc9715edfaf93676e03a1c9d5..9a48b49cb06abebbe45a991ae5d4ac954c0b940d 100644
GIT binary patch
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diff --git a/examples/lcp/why3shapes.gz b/examples/lcp/why3shapes.gz
index 3d8fe58f67ea1f53c86c8adf3a8d8b0dcc1609b0..ecd07ceec8944ba79409c27a79e9a5dca12a370a 100644
GIT binary patch
delta 264
zcmbQnG?i(BSbfvGbK7)Qum=lBI4vvkeyOm#NUPwoTBf4?{=CQSA=$5%?0&CUyIeSI
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delta 265
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diff --git a/examples/linear_probing/why3session.xml b/examples/linear_probing/why3session.xml
index 02e4d0f14c..ce596d73cf 100644
--- a/examples/linear_probing/why3session.xml
+++ b/examples/linear_probing/why3session.xml
@@ -487,7 +487,7 @@
   <proof prover="6"><result status="valid" time="0.02" steps="34"/></proof>
   </goal>
   <goal name="VC delete.42" expl="postcondition" proved="true">
-  <proof prover="6"><result status="valid" time="0.01" steps="1"/></proof>
+  <proof prover="6"><result status="valid" time="0.01" steps="14"/></proof>
   </goal>
   <goal name="VC delete.43" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.13"/></proof>
diff --git a/examples/linear_probing/why3shapes.gz b/examples/linear_probing/why3shapes.gz
index 474c1e323d16b340140e8f064376300675908030..6ab58c8b43f3fbec857155957bfec3d81fca97c4 100644
GIT binary patch
delta 12623
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diff --git a/examples/linked_list_rev/why3session.xml b/examples/linked_list_rev/why3session.xml
index 215c6e691b..fd8cf4f9a5 100644
--- a/examples/linked_list_rev/why3session.xml
+++ b/examples/linked_list_rev/why3session.xml
@@ -378,7 +378,7 @@
   </goal>
   <goal name="VC list_seg_no_repet.9" expl="assertion" proved="true">
   <proof prover="2" timelimit="10"><result status="valid" time="1.27"/></proof>
-  <proof prover="4"><result status="valid" time="9.06"/></proof>
+  <proof prover="4"><result status="valid" time="6.63"/></proof>
   </goal>
   <goal name="VC list_seg_no_repet.10" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.20"/></proof>
diff --git a/examples/linked_list_rev/why3shapes.gz b/examples/linked_list_rev/why3shapes.gz
index 869f5edd92432f8d80a0e36e5f00c5460099ea53..d28808847117fcd6937c373a9ab1364fd554834d 100644
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diff --git a/examples/max_matrix/why3session.xml b/examples/max_matrix/why3session.xml
index 14030af3dd..14d0cadc24 100644
--- a/examples/max_matrix/why3session.xml
+++ b/examples/max_matrix/why3session.xml
@@ -32,7 +32,7 @@
    </goal>
    <goal name="VC maximum.4.1" expl="VC for maximum" proved="true">
    <transf name="right" proved="true" >
-    <goal name="VC maximum.4.1.0" expl="VC for maximum" proved="true">
+    <goal name="VC maximum.4.1.0" expl="right case" proved="true">
     <transf name="split_goal_right" proved="true" >
      <goal name="VC maximum.4.1.0.0" expl="VC for maximum" proved="true">
      <proof prover="3"><result status="valid" time="0.04"/></proof>
diff --git a/examples/max_matrix/why3shapes.gz b/examples/max_matrix/why3shapes.gz
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diff --git a/examples/mccarthy/why3shapes.gz b/examples/mccarthy/why3shapes.gz
index 2b485ff2f85112cbc08f54fa27e72afb44740297..00bb287278dab5f38196389dbc195343be4d32b6 100644
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diff --git a/examples/mccarthy_vc_sp/why3shapes.gz b/examples/mccarthy_vc_sp/why3shapes.gz
index 618b7426d4e27517a79b31d098f171cc5a387ea1..fc1b78c8e5ee4f75d3e4f5576c084e29d4842957 100644
GIT binary patch
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diff --git a/examples/mergesort_array/why3session.xml b/examples/mergesort_array/why3session.xml
index 8a7d0c61db..24b845603d 100644
--- a/examples/mergesort_array/why3session.xml
+++ b/examples/mergesort_array/why3session.xml
@@ -28,7 +28,7 @@
   <proof prover="0"><result status="valid" time="0.00" steps="14"/></proof>
   </goal>
   <goal name="VC merge.6" expl="loop invariant init" proved="true">
-  <proof prover="0"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="0"><result status="valid" time="0.00" steps="13"/></proof>
   </goal>
   <goal name="VC merge.7" expl="index in array bounds" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="20"/></proof>
@@ -145,7 +145,7 @@
   <proof prover="0"><result status="valid" time="0.01" steps="14"/></proof>
   </goal>
   <goal name="VC merge_using.5" expl="postcondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="0"><result status="valid" time="0.01" steps="13"/></proof>
   </goal>
   <goal name="VC merge_using.6" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.00" steps="11"/></proof>
@@ -185,7 +185,7 @@
   <proof prover="0"><result status="valid" time="0.01" steps="11"/></proof>
   </goal>
   <goal name="VC merge_using.17" expl="postcondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.01" steps="1"/></proof>
+  <proof prover="0"><result status="valid" time="0.00" steps="10"/></proof>
   </goal>
  </transf>
  </goal>
@@ -514,7 +514,7 @@
   <proof prover="0"><result status="valid" time="0.01" steps="13"/></proof>
   </goal>
   <goal name="VC naturalrec.3" expl="postcondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.01" steps="1"/></proof>
+  <proof prover="0"><result status="valid" time="0.00" steps="10"/></proof>
   </goal>
   <goal name="VC naturalrec.4" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="6"/></proof>
@@ -529,7 +529,7 @@
   <proof prover="0"><result status="valid" time="0.01" steps="17"/></proof>
   </goal>
   <goal name="VC naturalrec.8" expl="postcondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="0"><result status="valid" time="0.01" steps="14"/></proof>
   </goal>
   <goal name="VC naturalrec.9" expl="loop invariant init" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="12"/></proof>
@@ -541,7 +541,7 @@
   <proof prover="0"><result status="valid" time="0.01" steps="20"/></proof>
   </goal>
   <goal name="VC naturalrec.12" expl="loop invariant init" proved="true">
-  <proof prover="0"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="0"><result status="valid" time="0.00" steps="17"/></proof>
   </goal>
   <goal name="VC naturalrec.13" expl="variant decrease" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="20"/></proof>
diff --git a/examples/mergesort_array/why3shapes.gz b/examples/mergesort_array/why3shapes.gz
index cbe933adc0590a2157037844fe82b8d611c33f41..164da48f2aac777cfce9487ef0b969a037d3d2d7 100644
GIT binary patch
literal 12050
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diff --git a/examples/mergesort_queue/why3shapes.gz b/examples/mergesort_queue/why3shapes.gz
index 08893f89588b837793ba9e9c25a6db864cc623cb..09560d93d23fdd53d31f8b500b0d0add0fd1309c 100644
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diff --git a/examples/mex/why3shapes.gz b/examples/mex/why3shapes.gz
index 1218c5e5c01c0d1c5b57a948a3427380b4caaa9d..ec2f818cbb98866aeaa2eb38b0606b9a2612be78 100644
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diff --git a/examples/mjrty/why3shapes.gz b/examples/mjrty/why3shapes.gz
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GIT binary patch
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diff --git a/examples/muller/why3shapes.gz b/examples/muller/why3shapes.gz
index 16811ce29b5911d02d61ce9b0149522e5c99a79f..c3304fe3d200a9abe0d2b367edd40eedf74b60ae 100644
GIT binary patch
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diff --git a/examples/multiprecision/add/why3session.xml b/examples/multiprecision/add/why3session.xml
index 074aa88236..9b680b7103 100644
--- a/examples/multiprecision/add/why3session.xml
+++ b/examples/multiprecision/add/why3session.xml
@@ -747,7 +747,7 @@
   <proof prover="0"><result status="valid" time="0.01"/></proof>
   </goal>
   <goal name="VC wmpn_add_in_place.4" expl="loop invariant init" proved="true">
-  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.03" steps="9"/></proof>
+  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.03" steps="18"/></proof>
   </goal>
   <goal name="VC wmpn_add_in_place.5" expl="precondition" proved="true">
   <transf name="split_goal_right" proved="true" >
@@ -1264,7 +1264,7 @@
   <proof prover="5"><result status="valid" time="0.04" steps="56"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.18" expl="integer overflow" proved="true">
-  <proof prover="3"><result status="valid" time="0.32"/></proof>
+  <proof prover="3"><result status="valid" time="0.26"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.19" expl="assertion" proved="true">
   <transf name="split_vc" proved="true" >
@@ -1286,7 +1286,7 @@
   </transf>
   </goal>
   <goal name="VC wmpn_incr_1.20" expl="loop variant decrease" proved="true">
-  <proof prover="3"><result status="valid" time="0.03"/></proof>
+  <proof prover="3"><result status="valid" time="0.04"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.21" expl="loop invariant preservation" proved="true">
   <proof prover="5"><result status="valid" time="0.07" steps="122"/></proof>
@@ -1295,16 +1295,16 @@
   <proof prover="3"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.23" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.04"/></proof>
+  <proof prover="3"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.24" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.25" expl="loop invariant preservation" proved="true">
-  <proof prover="5"><result status="valid" time="0.02" steps="51"/></proof>
+  <proof prover="5"><result status="valid" time="0.05" steps="51"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.26" expl="loop invariant preservation" proved="true">
-  <proof prover="5"><result status="valid" time="0.02" steps="67"/></proof>
+  <proof prover="5"><result status="valid" time="0.04" steps="67"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.27" expl="loop invariant preservation" proved="true">
   <proof prover="5"><result status="valid" time="0.07" steps="70"/></proof>
@@ -1337,7 +1337,7 @@
   <proof prover="5"><result status="valid" time="0.03" steps="44"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.37" expl="integer overflow" proved="true">
-  <proof prover="3"><result status="valid" time="0.26"/></proof>
+  <proof prover="3"><result status="valid" time="0.32"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.38" expl="assertion" proved="true">
   <transf name="split_vc" proved="true" >
@@ -1354,12 +1354,12 @@
    <proof prover="5" timelimit="5"><result status="valid" time="0.02" steps="49"/></proof>
    </goal>
    <goal name="VC wmpn_incr_1.38.4" expl="VC for wmpn_incr_1" proved="true">
-   <proof prover="5" timelimit="5"><result status="valid" time="0.03" steps="51"/></proof>
+   <proof prover="5" timelimit="5"><result status="valid" time="0.02" steps="51"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="VC wmpn_incr_1.39" expl="loop variant decrease" proved="true">
-  <proof prover="3"><result status="valid" time="0.04"/></proof>
+  <proof prover="3"><result status="valid" time="0.03"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.40" expl="loop invariant preservation" proved="true">
   <proof prover="5"><result status="valid" time="0.06" steps="122"/></proof>
@@ -1368,16 +1368,16 @@
   <proof prover="3"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.42" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.02"/></proof>
+  <proof prover="3"><result status="valid" time="0.04"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.43" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.44" expl="loop invariant preservation" proved="true">
-  <proof prover="5"><result status="valid" time="0.05" steps="51"/></proof>
+  <proof prover="5"><result status="valid" time="0.02" steps="51"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.45" expl="loop invariant preservation" proved="true">
-  <proof prover="5"><result status="valid" time="0.04" steps="67"/></proof>
+  <proof prover="5"><result status="valid" time="0.02" steps="67"/></proof>
   </goal>
   <goal name="VC wmpn_incr_1.46" expl="loop invariant preservation" proved="true">
   <proof prover="5"><result status="valid" time="0.03" steps="70"/></proof>
diff --git a/examples/multiprecision/add/why3shapes.gz b/examples/multiprecision/add/why3shapes.gz
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GIT binary patch
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diff --git a/examples/multiprecision/logical/why3session.xml b/examples/multiprecision/logical/why3session.xml
index 61a8f04443..0717b81942 100644
--- a/examples/multiprecision/logical/why3session.xml
+++ b/examples/multiprecision/logical/why3session.xml
@@ -1110,7 +1110,7 @@
      <proof prover="2"><result status="valid" time="0.14"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.22" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.18"/></proof>
+     <proof prover="2"><result status="valid" time="0.19"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.23" expl="apply premises" proved="true">
      <proof prover="2"><result status="valid" time="0.16"/></proof>
@@ -1128,7 +1128,7 @@
      <proof prover="2"><result status="valid" time="0.13"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.28" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.21"/></proof>
+     <proof prover="2"><result status="valid" time="0.14"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.29" expl="apply premises" proved="true">
      <proof prover="2"><result status="valid" time="0.15"/></proof>
@@ -1176,7 +1176,7 @@
      <proof prover="2"><result status="valid" time="0.16"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.44" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.14"/></proof>
+     <proof prover="2"><result status="valid" time="0.21"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.45" expl="apply premises" proved="true">
      <proof prover="2"><result status="valid" time="0.14"/></proof>
@@ -1221,7 +1221,7 @@
      <proof prover="2"><result status="valid" time="0.20"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.59" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.19"/></proof>
+     <proof prover="2"><result status="valid" time="0.18"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.60" expl="apply premises" proved="true">
      <proof prover="2"><result status="valid" time="0.14"/></proof>
@@ -1236,10 +1236,10 @@
      <proof prover="2"><result status="valid" time="0.23"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.64" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.15"/></proof>
+     <proof prover="2"><result status="valid" time="0.14"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.65" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.16"/></proof>
+     <proof prover="2"><result status="valid" time="0.15"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.66" expl="apply premises" proved="true">
      <proof prover="2"><result status="valid" time="0.14"/></proof>
@@ -1248,10 +1248,10 @@
      <proof prover="2"><result status="valid" time="0.13"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.68" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.14"/></proof>
+     <proof prover="2"><result status="valid" time="0.15"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.69" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.15"/></proof>
+     <proof prover="2"><result status="valid" time="0.16"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.70" expl="apply premises" proved="true">
      <proof prover="2"><result status="valid" time="0.14"/></proof>
@@ -1269,7 +1269,7 @@
      <proof prover="2"><result status="valid" time="0.20"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.75" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.14"/></proof>
+     <proof prover="2"><result status="valid" time="0.18"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.76" expl="apply premises" proved="true">
      <proof prover="2"><result status="valid" time="0.16"/></proof>
@@ -1302,7 +1302,7 @@
      <proof prover="2"><result status="valid" time="0.14"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.86" expl="apply premises" proved="true">
-     <proof prover="2"><result status="valid" time="0.18"/></proof>
+     <proof prover="2"><result status="valid" time="0.14"/></proof>
      </goal>
      <goal name="VC wmpn_lshift_in_place.40.0.0.87" expl="apply premises" proved="true">
      <proof prover="2"><result status="valid" time="0.21"/></proof>
@@ -1367,10 +1367,10 @@
   <goal name="VC wmpn_lshift_in_place.42" expl="assertion" proved="true">
   <transf name="split_vc" proved="true" >
    <goal name="VC wmpn_lshift_in_place.42.0" expl="assertion" proved="true">
-   <proof prover="0"><result status="valid" time="0.18"/></proof>
+   <proof prover="0"><result status="valid" time="0.17"/></proof>
    </goal>
    <goal name="VC wmpn_lshift_in_place.42.1" expl="assertion" proved="true">
-   <proof prover="0"><result status="valid" time="0.64"/></proof>
+   <proof prover="0"><result status="valid" time="0.62"/></proof>
    </goal>
    <goal name="VC wmpn_lshift_in_place.42.2" expl="VC for wmpn_lshift_in_place" proved="true">
    <proof prover="2"><result status="valid" time="0.11"/></proof>
diff --git a/examples/multiprecision/logical/why3shapes.gz b/examples/multiprecision/logical/why3shapes.gz
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diff --git a/examples/multiprecision/mul/why3session.xml b/examples/multiprecision/mul/why3session.xml
index 5b6ef24421..cbc6e12ae0 100644
--- a/examples/multiprecision/mul/why3session.xml
+++ b/examples/multiprecision/mul/why3session.xml
@@ -111,10 +111,10 @@
     <goal name="VC wmpn_mul_1.14.0.0" expl="assertion" proved="true">
     <transf name="reflection_f" proved="true" arg1="mp_decision">
      <goal name="VC wmpn_mul_1.14.0.0.0" expl="assertion" proved="true">
-     <proof prover="0"><result status="valid" time="0.39"/></proof>
+     <proof prover="0"><result status="valid" time="0.25"/></proof>
      </goal>
      <goal name="VC wmpn_mul_1.14.0.0.1" proved="true">
-     <proof prover="2"><result status="valid" time="0.35"/></proof>
+     <proof prover="2"><result status="valid" time="0.21"/></proof>
      <proof prover="3"><result status="valid" time="0.16"/></proof>
      </goal>
      <goal name="VC wmpn_mul_1.14.0.0.2" proved="true">
@@ -161,10 +161,10 @@
   <proof prover="5" timelimit="1"><result status="valid" time="0.03" steps="74"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_1.2" expl="loop invariant init" proved="true">
-  <proof prover="3"><result status="valid" time="0.03"/></proof>
+  <proof prover="3"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_1.3" expl="loop invariant init" proved="true">
-  <proof prover="3"><result status="valid" time="0.02"/></proof>
+  <proof prover="3"><result status="valid" time="0.03"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_1.4" expl="precondition" proved="true">
   <proof prover="3"><result status="valid" time="0.03"/></proof>
@@ -205,7 +205,7 @@
   <proof prover="3"><result status="valid" time="0.03"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_1.9" expl="assertion" proved="true">
-  <proof prover="0" timelimit="10"><result status="valid" time="3.90"/></proof>
+  <proof prover="0" timelimit="10"><result status="valid" time="3.08"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_1.10" expl="precondition" proved="true">
   <proof prover="3"><result status="valid" time="0.09"/></proof>
@@ -234,7 +234,7 @@
   </transf>
   </goal>
   <goal name="VC wmpn_addmul_1.13" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="2.17"/></proof>
+  <proof prover="0"><result status="valid" time="1.72"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_1.14" expl="assertion" proved="true">
   <transf name="split_goal_right" proved="true" >
@@ -645,7 +645,7 @@
   <proof prover="5" timelimit="20"><result status="valid" time="0.06" steps="23"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_n.8" expl="loop invariant init" proved="true">
-  <proof prover="5" timelimit="20"><result status="valid" time="0.05" steps="9"/></proof>
+  <proof prover="5" timelimit="20"><result status="valid" time="0.05" steps="26"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_n.9" expl="integer overflow" proved="true">
   <proof prover="3"><result status="valid" time="0.05"/></proof>
@@ -654,7 +654,7 @@
   <proof prover="5"><result status="valid" time="0.02" steps="35"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_n.11" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="2.35"/></proof>
+  <proof prover="0"><result status="valid" time="1.96"/></proof>
   </goal>
   <goal name="VC wmpn_addmul_n.12" expl="precondition" proved="true">
   <proof prover="5"><result status="valid" time="0.03" steps="53"/></proof>
@@ -1071,7 +1071,7 @@
          <proof prover="3"><result status="valid" time="0.02"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.10" expl="apply premises" proved="true">
-         <proof prover="3"><result status="valid" time="0.02"/></proof>
+         <proof prover="3"><result status="valid" time="0.03"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.11" expl="apply premises" proved="true">
          <proof prover="3"><result status="valid" time="0.02"/></proof>
@@ -1086,7 +1086,7 @@
          <proof prover="3"><result status="valid" time="0.04"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.15" expl="apply premises" proved="true">
-         <proof prover="3"><result status="valid" time="0.03"/></proof>
+         <proof prover="3"><result status="valid" time="0.02"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.16" expl="apply premises" proved="true">
          <proof prover="3"><result status="valid" time="0.02"/></proof>
@@ -1110,7 +1110,7 @@
          <proof prover="3"><result status="valid" time="0.19"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.23" expl="apply premises" proved="true">
-         <proof prover="3"><result status="valid" time="0.03"/></proof>
+         <proof prover="3"><result status="valid" time="0.02"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.24" expl="apply premises" proved="true">
          <proof prover="3"><result status="valid" time="0.02"/></proof>
@@ -1209,7 +1209,7 @@
          <proof prover="3"><result status="valid" time="0.02"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.56" expl="apply premises" proved="true">
-         <proof prover="3"><result status="valid" time="0.02"/></proof>
+         <proof prover="3"><result status="valid" time="0.03"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.57" expl="apply premises" proved="true">
          <proof prover="3"><result status="valid" time="0.02"/></proof>
@@ -1293,7 +1293,7 @@
          <proof prover="3"><result status="valid" time="0.04"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.84" expl="apply premises" proved="true">
-         <proof prover="3"><result status="valid" time="0.02"/></proof>
+         <proof prover="3"><result status="valid" time="0.03"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.85" expl="apply premises" proved="true">
          <proof prover="3"><result status="valid" time="0.02"/></proof>
@@ -1308,7 +1308,7 @@
          <proof prover="3"><result status="valid" time="0.02"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.89" expl="apply premises" proved="true">
-         <proof prover="3"><result status="valid" time="0.03"/></proof>
+         <proof prover="3"><result status="valid" time="0.02"/></proof>
          </goal>
          <goal name="VC wmpn_mul_basecase.38.0.0.0.0.0.0.90" expl="apply premises" proved="true">
          <proof prover="2"><result status="valid" time="0.23"/></proof>
diff --git a/examples/multiprecision/mul/why3shapes.gz b/examples/multiprecision/mul/why3shapes.gz
index 686074a68b75ff7260c71dfda19e247d75a7b7f3..07892ef8b3e08896be87e1d805add55e9de480b7 100644
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diff --git a/examples/multiprecision/sub/why3session.xml b/examples/multiprecision/sub/why3session.xml
index 37c614231a..8278786c8a 100644
--- a/examples/multiprecision/sub/why3session.xml
+++ b/examples/multiprecision/sub/why3session.xml
@@ -400,10 +400,10 @@
     <goal name="VC wmpn_sub.12.0.0" expl="assertion" proved="true">
     <transf name="reflection_f" proved="true" arg1="mp_decision">
      <goal name="VC wmpn_sub.12.0.0.0" expl="assertion" proved="true">
-     <proof prover="0"><result status="valid" time="2.74"/></proof>
+     <proof prover="0"><result status="valid" time="2.36"/></proof>
      </goal>
      <goal name="VC wmpn_sub.12.0.0.1" proved="true">
-     <proof prover="3"><result status="valid" time="0.30"/></proof>
+     <proof prover="3"><result status="valid" time="0.16"/></proof>
      </goal>
      <goal name="VC wmpn_sub.12.0.0.2" proved="true">
      <proof prover="3"><result status="valid" time="0.26"/></proof>
@@ -725,7 +725,7 @@
   <proof prover="0"><result status="valid" time="0.01"/></proof>
   </goal>
   <goal name="VC wmpn_sub_in_place.4" expl="loop invariant init" proved="true">
-  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.04" steps="9"/></proof>
+  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.04" steps="18"/></proof>
   </goal>
   <goal name="VC wmpn_sub_in_place.5" expl="precondition" proved="true">
   <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.03" steps="33"/></proof>
@@ -752,10 +752,10 @@
   <goal name="VC wmpn_sub_in_place.10" expl="assertion" proved="true">
   <transf name="split_vc" proved="true" >
    <goal name="VC wmpn_sub_in_place.10.0" expl="assertion" proved="true">
-   <proof prover="5"><result status="valid" time="0.02" steps="38"/></proof>
+   <proof prover="4"><result status="valid" time="1.62"/></proof>
    </goal>
    <goal name="VC wmpn_sub_in_place.10.1" expl="assertion" proved="true">
-   <proof prover="4"><result status="valid" time="0.25"/></proof>
+   <proof prover="5"><result status="valid" time="0.02" steps="62"/></proof>
    </goal>
    <goal name="VC wmpn_sub_in_place.10.2" expl="VC for wmpn_sub_in_place" proved="true">
    <proof prover="5"><result status="valid" time="0.01" steps="39"/></proof>
@@ -784,7 +784,7 @@
      <proof prover="0"><result status="valid" time="2.69"/></proof>
      </goal>
      <goal name="VC wmpn_sub_in_place.15.0.0.1" proved="true">
-     <proof prover="3"><result status="valid" time="0.30"/></proof>
+     <proof prover="3"><result status="valid" time="0.16"/></proof>
      </goal>
      <goal name="VC wmpn_sub_in_place.15.0.0.2" proved="true">
      <proof prover="3"><result status="valid" time="0.26"/></proof>
@@ -1070,7 +1070,7 @@
   <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.02" steps="63"/></proof>
   </goal>
   <goal name="VC wmpn_decr.16" expl="assertion" proved="true">
-  <proof prover="0" memlimit="1000"><result status="valid" time="0.87"/></proof>
+  <proof prover="0" memlimit="1000"><result status="valid" time="0.61"/></proof>
   </goal>
   <goal name="VC wmpn_decr.17" expl="precondition" proved="true">
   <proof prover="3"><result status="valid" time="0.01"/></proof>
@@ -1085,7 +1085,7 @@
   <proof prover="2"><result status="valid" time="0.16"/></proof>
   </goal>
   <goal name="VC wmpn_decr.21" expl="assertion" proved="true">
-  <proof prover="5"><result status="valid" time="0.68" steps="56"/></proof>
+  <proof prover="5"><result status="valid" time="0.51" steps="56"/></proof>
   </goal>
   <goal name="VC wmpn_decr.22" expl="precondition" proved="true">
   <proof prover="2"><result status="valid" time="0.07"/></proof>
@@ -1102,7 +1102,7 @@
    <proof prover="2"><result status="valid" time="0.03"/></proof>
    </goal>
    <goal name="VC wmpn_decr.24.2" expl="VC for wmpn_decr" proved="true">
-   <proof prover="5"><result status="valid" time="0.77" steps="76"/></proof>
+   <proof prover="5"><result status="valid" time="0.59" steps="76"/></proof>
    </goal>
    <goal name="VC wmpn_decr.24.3" expl="VC for wmpn_decr" proved="true">
    <proof prover="2"><result status="valid" time="0.02"/></proof>
@@ -1272,38 +1272,19 @@
   <proof prover="3"><result status="valid" time="0.01"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.17" expl="assertion" proved="true">
-  <proof prover="5"><result status="valid" time="0.03" steps="55"/></proof>
+  <proof prover="5"><result status="valid" time="0.04" steps="55"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.18" expl="integer overflow" proved="true">
   <proof prover="3"><result status="valid" time="0.20"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.19" expl="assertion" proved="true">
-  <transf name="split_vc" proved="true" >
-   <goal name="VC wmpn_decr_1.19.0" expl="assertion" proved="true">
-   <proof prover="0" memlimit="1000"><result status="valid" time="0.02"/></proof>
-   </goal>
-   <goal name="VC wmpn_decr_1.19.1" expl="VC for wmpn_decr_1" proved="true">
-   <proof prover="3"><result status="valid" time="0.02"/></proof>
-   </goal>
-   <goal name="VC wmpn_decr_1.19.2" expl="VC for wmpn_decr_1" proved="true">
-   <proof prover="2"><result status="valid" time="0.12"/></proof>
-   </goal>
-   <goal name="VC wmpn_decr_1.19.3" expl="VC for wmpn_decr_1" proved="true">
-   <proof prover="3"><result status="valid" time="0.02"/></proof>
-   </goal>
-   <goal name="VC wmpn_decr_1.19.4" expl="VC for wmpn_decr_1" proved="true">
-   <proof prover="3"><result status="valid" time="0.02"/></proof>
-   </goal>
-   <goal name="VC wmpn_decr_1.19.5" expl="VC for wmpn_decr_1" proved="true">
-   <proof prover="3"><result status="valid" time="0.02"/></proof>
-   </goal>
-  </transf>
+  <proof prover="5"><result status="valid" time="0.45" steps="275"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.20" expl="loop variant decrease" proved="true">
-  <proof prover="3"><result status="valid" time="0.03"/></proof>
+  <proof prover="3"><result status="valid" time="0.04"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.21" expl="loop invariant preservation" proved="true">
-  <proof prover="5"><result status="valid" time="0.08" steps="121"/></proof>
+  <proof prover="5"><result status="valid" time="0.04" steps="121"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.22" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.03"/></proof>
@@ -1348,19 +1329,38 @@
   <proof prover="3"><result status="valid" time="0.01"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.36" expl="assertion" proved="true">
-  <proof prover="5"><result status="valid" time="0.04" steps="43"/></proof>
+  <proof prover="5"><result status="valid" time="0.03" steps="43"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.37" expl="integer overflow" proved="true">
   <proof prover="3"><result status="valid" time="0.16"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.38" expl="assertion" proved="true">
-  <proof prover="5"><result status="valid" time="0.03" steps="47"/></proof>
+  <transf name="split_vc" proved="true" >
+   <goal name="VC wmpn_decr_1.38.0" expl="assertion" proved="true">
+   <proof prover="0" memlimit="1000"><result status="valid" time="0.02"/></proof>
+   </goal>
+   <goal name="VC wmpn_decr_1.38.1" expl="VC for wmpn_decr_1" proved="true">
+   <proof prover="3"><result status="valid" time="0.02"/></proof>
+   </goal>
+   <goal name="VC wmpn_decr_1.38.2" expl="VC for wmpn_decr_1" proved="true">
+   <proof prover="2"><result status="valid" time="0.12"/></proof>
+   </goal>
+   <goal name="VC wmpn_decr_1.38.3" expl="VC for wmpn_decr_1" proved="true">
+   <proof prover="3"><result status="valid" time="0.02"/></proof>
+   </goal>
+   <goal name="VC wmpn_decr_1.38.4" expl="VC for wmpn_decr_1" proved="true">
+   <proof prover="3"><result status="valid" time="0.02"/></proof>
+   </goal>
+   <goal name="VC wmpn_decr_1.38.5" expl="VC for wmpn_decr_1" proved="true">
+   <proof prover="3"><result status="valid" time="0.02"/></proof>
+   </goal>
+  </transf>
   </goal>
   <goal name="VC wmpn_decr_1.39" expl="loop variant decrease" proved="true">
-  <proof prover="3"><result status="valid" time="0.04"/></proof>
+  <proof prover="3"><result status="valid" time="0.03"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.40" expl="loop invariant preservation" proved="true">
-  <proof prover="5"><result status="valid" time="0.04" steps="121"/></proof>
+  <proof prover="5"><result status="valid" time="0.08" steps="121"/></proof>
   </goal>
   <goal name="VC wmpn_decr_1.41" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.03"/></proof>
@@ -1492,7 +1492,7 @@
   <proof prover="2"><result status="valid" time="0.08"/></proof>
   </goal>
   <goal name="VC wmpn_sub_1_in_place.25" expl="postcondition" proved="true">
-  <proof prover="5"><result status="valid" time="0.79" steps="57"/></proof>
+  <proof prover="5"><result status="valid" time="0.59" steps="57"/></proof>
   </goal>
   <goal name="VC wmpn_sub_1_in_place.26" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.06"/></proof>
@@ -1504,7 +1504,7 @@
   <proof prover="2"><result status="valid" time="0.06"/></proof>
   </goal>
   <goal name="VC wmpn_sub_1_in_place.29" expl="assertion" proved="true">
-  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.83" steps="67"/></proof>
+  <proof prover="5" timelimit="5" memlimit="2000"><result status="valid" time="0.64" steps="67"/></proof>
   </goal>
   <goal name="VC wmpn_sub_1_in_place.30" expl="loop variant decrease" proved="true">
   <proof prover="2"><result status="valid" time="0.10"/></proof>
diff --git a/examples/multiprecision/sub/why3shapes.gz b/examples/multiprecision/sub/why3shapes.gz
index a6fd73319b4b34bb8230e508ee26b44bf79d7925..d64454f49cfff4ec7a49547f7dfd1ba350911b30 100644
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diff --git a/examples/multiprecision/util/why3shapes.gz b/examples/multiprecision/util/why3shapes.gz
index bed1d45efc090a9b6cd18bb86e42f409774914fe..4b9bf42b7d429c4f1de0850ee98d448de6205555 100644
GIT binary patch
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diff --git a/examples/nistonacci/why3shapes.gz b/examples/nistonacci/why3shapes.gz
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diff --git a/examples/optimal_replay/why3shapes.gz b/examples/optimal_replay/why3shapes.gz
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diff --git a/examples/pancake_sorting/why3shapes.gz b/examples/pancake_sorting/why3shapes.gz
index 91bb54badc8d34ae6b5ac2488d14af61fee0135c..2a81d42c61a4c62ecce3220f9efe9d45a503d089 100644
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diff --git a/examples/patience/why3shapes.gz b/examples/patience/why3shapes.gz
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diff --git a/examples/pigeonhole/why3shapes.gz b/examples/pigeonhole/why3shapes.gz
index f577795ad7917cbdda8a39652cff2a6a754be5f0..5900e2f6ed7edf36eb24605445dde3075f5df4ea 100644
GIT binary patch
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diff --git a/examples/power/why3shapes.gz b/examples/power/why3shapes.gz
index fa88b6396b2089e674c2e80dde7e3f476ed8d088..d477215a1f030293392bbb1e761ea51b67d351ae 100644
GIT binary patch
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diff --git a/examples/power_vc_sp/why3shapes.gz b/examples/power_vc_sp/why3shapes.gz
index 91f508f9bed1aa64306c323c8fd63a2c407e4d71..7e81e6d8122713f42afc628e695f7eb48af53de3 100644
GIT binary patch
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diff --git a/examples/prover/BacktrackArray/why3shapes.gz b/examples/prover/BacktrackArray/why3shapes.gz
index 07f944bc2787153d565e33d0c63fd9af8c7e0821..7c83e0b7053df48b9377106104479cd4e8f37b84 100644
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diff --git a/examples/prover/Firstorder_formula_impl/why3session.xml b/examples/prover/Firstorder_formula_impl/why3session.xml
index 49b1971d0d..fdf03ef600 100644
--- a/examples/prover/Firstorder_formula_impl/why3session.xml
+++ b/examples/prover/Firstorder_formula_impl/why3session.xml
@@ -85,7 +85,7 @@
   <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
   </goal>
   <goal name="VC nlmodel_subst_commutation_lemma_fo_formula.15" expl="variant decrease" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="98"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="98"/></proof>
   </goal>
   <goal name="VC nlmodel_subst_commutation_lemma_fo_formula.16" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.10" steps="14"/></proof>
@@ -115,7 +115,7 @@
   <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
   </goal>
   <goal name="VC nlmodel_subst_commutation_lemma_fo_formula.25" expl="variant decrease" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="98"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="98"/></proof>
   </goal>
   <goal name="VC nlmodel_subst_commutation_lemma_fo_formula.26" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.11" steps="14"/></proof>
@@ -289,7 +289,7 @@
   <proof prover="0"><result status="valid" time="0.12" steps="11"/></proof>
   </goal>
   <goal name="VC model_equal_fo_formula.3" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.18" steps="150"/></proof>
+  <proof prover="0"><result status="valid" time="0.06" steps="150"/></proof>
   </goal>
   <goal name="VC model_equal_fo_formula.4" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="12"/></proof>
@@ -388,7 +388,7 @@
   <proof prover="0"><result status="valid" time="0.08" steps="48"/></proof>
   </goal>
   <goal name="VC model_equal_fo_formula.36" expl="variant decrease" proved="true">
-  <proof prover="0"><result status="valid" time="0.16" steps="19"/></proof>
+  <proof prover="0"><result status="valid" time="0.04" steps="19"/></proof>
   </goal>
   <goal name="VC model_equal_fo_formula.37" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.15" steps="48"/></proof>
@@ -502,13 +502,13 @@
   <proof prover="0"><result status="valid" time="0.16" steps="73"/></proof>
   </goal>
   <goal name="VC bind_var_symbol_in_fo_formula.21" expl="variant decrease" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="120"/></proof>
+  <proof prover="0"><result status="valid" time="0.15" steps="120"/></proof>
   </goal>
   <goal name="VC bind_var_symbol_in_fo_formula.22" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.04" steps="64"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="64"/></proof>
   </goal>
   <goal name="VC bind_var_symbol_in_fo_formula.23" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.17" steps="93"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="93"/></proof>
   </goal>
   <goal name="VC bind_var_symbol_in_fo_formula.24" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="11"/></proof>
@@ -538,13 +538,13 @@
   <proof prover="0"><result status="valid" time="0.17" steps="73"/></proof>
   </goal>
   <goal name="VC bind_var_symbol_in_fo_formula.33" expl="variant decrease" proved="true">
-  <proof prover="0"><result status="valid" time="0.15" steps="120"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="120"/></proof>
   </goal>
   <goal name="VC bind_var_symbol_in_fo_formula.34" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="64"/></proof>
+  <proof prover="0"><result status="valid" time="0.04" steps="64"/></proof>
   </goal>
   <goal name="VC bind_var_symbol_in_fo_formula.35" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="93"/></proof>
+  <proof prover="0"><result status="valid" time="0.17" steps="93"/></proof>
   </goal>
   <goal name="VC bind_var_symbol_in_fo_formula.36" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.08" steps="11"/></proof>
@@ -665,7 +665,7 @@
   <proof prover="0"><result status="valid" time="0.10" steps="13"/></proof>
   </goal>
   <goal name="VC bind_var_fo_term_in_fo_formula.18" expl="variant decrease" proved="true">
-  <proof prover="0"><result status="valid" time="0.08" steps="95"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="95"/></proof>
   </goal>
   <goal name="VC bind_var_fo_term_in_fo_formula.19" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.08" steps="46"/></proof>
@@ -701,7 +701,7 @@
   <proof prover="0"><result status="valid" time="0.09" steps="13"/></proof>
   </goal>
   <goal name="VC bind_var_fo_term_in_fo_formula.30" expl="variant decrease" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="95"/></proof>
+  <proof prover="0"><result status="valid" time="0.08" steps="95"/></proof>
   </goal>
   <goal name="VC bind_var_fo_term_in_fo_formula.31" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.05" steps="46"/></proof>
@@ -843,10 +843,10 @@
   <proof prover="0"><result status="valid" time="0.13" steps="99"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.25" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="16"/></proof>
+  <proof prover="0"><result status="valid" time="0.05" steps="16"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.26" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="54"/></proof>
+  <proof prover="0"><result status="valid" time="0.11" steps="54"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.27" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="78"/></proof>
@@ -891,7 +891,7 @@
   <proof prover="0"><result status="valid" time="0.07" steps="16"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.41" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.10" steps="16"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="16"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.42" expl="variant decrease" proved="true">
   <proof prover="0"><result status="valid" time="0.12" steps="99"/></proof>
@@ -900,7 +900,7 @@
   <proof prover="0"><result status="valid" time="0.15" steps="16"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.44" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.11" steps="54"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="54"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.45" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="78"/></proof>
@@ -972,10 +972,10 @@
   <proof prover="0"><result status="valid" time="0.16" steps="16"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.68" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="16"/></proof>
+  <proof prover="0"><result status="valid" time="0.10" steps="16"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.69" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.05" steps="16"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="16"/></proof>
   </goal>
   <goal name="VC unbind_var_symbol_in_fo_formula.70" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.08" steps="46"/></proof>
@@ -1039,16 +1039,16 @@
   <proof prover="0"><result status="valid" time="0.16" steps="19"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.6" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.16" steps="21"/></proof>
+  <proof prover="0"><result status="valid" time="0.10" steps="21"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.7" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="20"/></proof>
+  <proof prover="0"><result status="valid" time="0.05" steps="20"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.8" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="20"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.9" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="20"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="20"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.10" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="15"/></proof>
@@ -1069,16 +1069,16 @@
   <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.16" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.10" steps="21"/></proof>
+  <proof prover="0"><result status="valid" time="0.16" steps="21"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.17" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.05" steps="20"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="20"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.18" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="20"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.19" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="20"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="20"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.20" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="15"/></proof>
@@ -1093,16 +1093,16 @@
   <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.24" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.25" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.07" steps="17"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.26" expl="variant decrease" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="100"/></proof>
+  <proof prover="0"><result status="valid" time="0.16" steps="100"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.27" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.28" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="52"/></proof>
@@ -1123,16 +1123,16 @@
   <proof prover="0"><result status="valid" time="0.14" steps="124"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.34" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="21"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.35" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="68"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.36" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.18" steps="95"/></proof>
+  <proof prover="0"><result status="valid" time="0.11" steps="95"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.37" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="24"/></proof>
+  <proof prover="0"><result status="valid" time="0.11" steps="24"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.38" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.06" steps="24"/></proof>
@@ -1156,13 +1156,13 @@
   <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.45" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.07" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.46" expl="variant decrease" proved="true">
-  <proof prover="0"><result status="valid" time="0.16" steps="100"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="100"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.47" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.48" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="52"/></proof>
@@ -1183,16 +1183,16 @@
   <proof prover="0"><result status="valid" time="0.13" steps="124"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.54" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="21"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.55" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="68"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.56" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.11" steps="95"/></proof>
+  <proof prover="0"><result status="valid" time="0.18" steps="95"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.57" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.11" steps="24"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="24"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.58" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="24"/></proof>
@@ -1243,7 +1243,7 @@
   <proof prover="0"><result status="valid" time="0.07" steps="17"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.74" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
   </goal>
   <goal name="VC unbind_var_fo_term_in_fo_formula.75" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.15" steps="17"/></proof>
@@ -1349,16 +1349,16 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="47"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.22" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="15"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.23" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.24" expl="variant decrease" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.18" steps="123"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="123"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.25" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="67"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="67"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.26" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="19"/></proof>
@@ -1391,16 +1391,16 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="47"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.36" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.37" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.38" expl="variant decrease" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="123"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.18" steps="123"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.39" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="67"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="67"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula.40" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="19"/></proof>
@@ -1503,7 +1503,7 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="16"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.7" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="16"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="16"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.8" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="13"/></proof>
@@ -1527,7 +1527,7 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="16"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.15" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="16"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="16"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.16" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="13"/></proof>
@@ -1542,13 +1542,13 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.20" expl="assertion" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="15"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.21" expl="assertion" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.22" expl="variant decrease" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="93"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="93"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.23" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="47"/></proof>
@@ -1563,19 +1563,19 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="16"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.27" expl="variant decrease" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.18" steps="121"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="121"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.28" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="65"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="65"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.29" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="20"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="20"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.30" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="20"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.31" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="20"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="20"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.32" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="13"/></proof>
@@ -1584,19 +1584,19 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="22"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.34" expl="assertion" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="15"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.35" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.36" expl="assertion" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.37" expl="assertion" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.38" expl="variant decrease" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="93"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="93"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.39" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="47"/></proof>
@@ -1611,19 +1611,19 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.43" expl="variant decrease" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="121"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.18" steps="121"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.44" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="65"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="65"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.45" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="20"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="20"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.46" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="20"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.47" expl="precondition" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="20"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="20"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.48" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="13"/></proof>
@@ -1662,10 +1662,10 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.60" expl="assertion" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="15"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.61" expl="assertion" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="15"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_fo_term_in_fo_formula.62" expl="precondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="39"/></proof>
@@ -1705,7 +1705,7 @@
   <proof prover="0"><result status="valid" time="0.08" steps="12"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.3" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="246"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="246"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.4" expl="assertion" proved="true">
   <transf name="split_vc" proved="true" >
@@ -1760,7 +1760,7 @@
   <proof prover="0"><result status="valid" time="0.06" steps="20"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.14" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.15" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
@@ -1775,7 +1775,7 @@
   <proof prover="0"><result status="valid" time="0.07" steps="12"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.19" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="246"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="246"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.20" expl="assertion" proved="true">
   <transf name="split_vc" proved="true" >
@@ -1830,7 +1830,7 @@
   <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.30" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.31" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
@@ -1874,13 +1874,36 @@
   <proof prover="0"><result status="valid" time="0.16" steps="139"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.37" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.18" steps="139"/></proof>
+  <transf name="inline_goal" proved="true" >
+   <goal name="VC construct_fo_formula.37.0" expl="assertion" proved="true">
+   <transf name="split_goal_right" proved="true" >
+    <goal name="VC construct_fo_formula.37.0.0" expl="assertion" proved="true">
+    <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="23"/></proof>
+    </goal>
+    <goal name="VC construct_fo_formula.37.0.1" expl="assertion" proved="true">
+    <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="34"/></proof>
+    </goal>
+    <goal name="VC construct_fo_formula.37.0.2" expl="assertion" proved="true">
+    <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="24"/></proof>
+    </goal>
+    <goal name="VC construct_fo_formula.37.0.3" expl="assertion" proved="true">
+    <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="33"/></proof>
+    </goal>
+    <goal name="VC construct_fo_formula.37.0.4" expl="assertion" proved="true">
+    <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="69"/></proof>
+    </goal>
+    <goal name="VC construct_fo_formula.37.0.5" expl="assertion" proved="true">
+    <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="23"/></proof>
+    </goal>
+   </transf>
+   </goal>
+  </transf>
   </goal>
   <goal name="VC construct_fo_formula.38" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.09" steps="139"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.39" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.16" steps="139"/></proof>
+  <proof prover="10"><result status="valid" time="0.37"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.40" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.18" steps="259"/></proof>
@@ -1906,40 +1929,48 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.46" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.11" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.47" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="7"/></proof>
+  <transf name="inline_goal" proved="true" >
+   <goal name="VC construct_fo_formula.47.0" expl="precondition" proved="true">
+   <transf name="split_goal_right" proved="true" >
+    <goal name="VC construct_fo_formula.47.0.0" expl="precondition" proved="true">
+    <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="7"/></proof>
+    </goal>
+   </transf>
+   </goal>
+  </transf>
   </goal>
   <goal name="VC construct_fo_formula.48" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.49" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.15" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.50" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
+  <proof prover="0"><result status="valid" time="0.11" steps="18"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.51" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.52" expl="assertion" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="7"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.53" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.54" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.55" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.04" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.56" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.57" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.08" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.58" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
@@ -1963,36 +1994,13 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="139"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.65" expl="assertion" proved="true">
-  <transf name="inline_goal" proved="true" >
-   <goal name="VC construct_fo_formula.65.0" expl="assertion" proved="true">
-   <transf name="split_goal_right" proved="true" >
-    <goal name="VC construct_fo_formula.65.0.0" expl="assertion" proved="true">
-    <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="23"/></proof>
-    </goal>
-    <goal name="VC construct_fo_formula.65.0.1" expl="assertion" proved="true">
-    <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="34"/></proof>
-    </goal>
-    <goal name="VC construct_fo_formula.65.0.2" expl="assertion" proved="true">
-    <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="24"/></proof>
-    </goal>
-    <goal name="VC construct_fo_formula.65.0.3" expl="assertion" proved="true">
-    <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="33"/></proof>
-    </goal>
-    <goal name="VC construct_fo_formula.65.0.4" expl="assertion" proved="true">
-    <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="69"/></proof>
-    </goal>
-    <goal name="VC construct_fo_formula.65.0.5" expl="assertion" proved="true">
-    <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="23"/></proof>
-    </goal>
-   </transf>
-   </goal>
-  </transf>
+  <proof prover="0"><result status="valid" time="0.06" steps="139"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.66" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="139"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.67" expl="assertion" proved="true">
-  <proof prover="10"><result status="valid" time="0.37"/></proof>
+  <proof prover="0"><result status="valid" time="0.16" steps="139"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.68" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="259"/></proof>
@@ -2013,48 +2021,40 @@
   <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.74" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.11" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.75" expl="precondition" proved="true">
-  <transf name="inline_goal" proved="true" >
-   <goal name="VC construct_fo_formula.75.0" expl="precondition" proved="true">
-   <transf name="split_goal_right" proved="true" >
-    <goal name="VC construct_fo_formula.75.0.0" expl="precondition" proved="true">
-    <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="7"/></proof>
-    </goal>
-   </transf>
-   </goal>
-  </transf>
+  <proof prover="0"><result status="valid" time="0.12" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.76" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.77" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.08" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.78" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.11" steps="18"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.79" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.80" expl="assertion" proved="true">
-  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="7"/></proof>
+  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.81" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.82" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.11" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.83" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.04" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.84" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.12" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.85" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
+  <proof prover="0"><result status="valid" time="0.08" steps="7"/></proof>
   </goal>
   <goal name="VC construct_fo_formula.86" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.11" steps="7"/></proof>
@@ -2167,7 +2167,7 @@
    <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="75"/></proof>
    </goal>
    <goal name="VC construct_fo_formula.112.1" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.18" steps="140"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="140"/></proof>
    </goal>
   </transf>
   </goal>
@@ -2265,7 +2265,7 @@
   <proof prover="0"><result status="valid" time="0.13" steps="31"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.10" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="21"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="21"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.11" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.16" steps="115"/></proof>
@@ -2277,19 +2277,19 @@
   <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.14" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
+  <proof prover="0"><result status="valid" time="0.15" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.15" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.16" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="27"/></proof>
+  <proof prover="0"><result status="valid" time="0.15" steps="27"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.17" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="32"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.18" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="33"/></proof>
+  <proof prover="0"><result status="valid" time="0.16" steps="33"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.19" expl="assertion" proved="true">
   <transf name="split_goal_right" proved="true" >
@@ -2297,16 +2297,16 @@
    <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="34"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.19.1" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="36"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="36"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.19.2" expl="assertion" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="138"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.19.3" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="38"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="38"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.19.4" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="146"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="146"/></proof>
    </goal>
   </transf>
   </goal>
@@ -2314,30 +2314,34 @@
   <proof prover="0"><result status="valid" time="0.05" steps="33"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.21" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.16" steps="145"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="145"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.22" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.22" steps="556"/></proof>
+  <proof prover="0"><result status="valid" time="0.21" steps="556"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.23" expl="assertion" proved="true">
-  <transf name="split_goal_right" proved="true" >
+  <transf name="split_vc" proved="true" >
    <goal name="VC destruct_fo_formula.23.0" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="37"/></proof>
+   <proof prover="2"><result status="valid" time="0.44"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.23.1" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="29"/></proof>
+   <proof prover="2"><result status="valid" time="0.21"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.23.2" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="159"/></proof>
+   <proof prover="2"><result status="valid" time="0.34"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.23.3" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.17" steps="38"/></proof>
+   <proof prover="2"><result status="valid" time="0.33"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.23.4" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="132"/></proof>
+   <proof prover="2"><result status="valid" time="0.46"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.23.5" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.28" steps="662"/></proof>
+   <transf name="split_all_full" proved="true" >
+    <goal name="VC destruct_fo_formula.23.5.0" expl="assertion" proved="true">
+    <proof prover="2"><result status="valid" time="0.66"/></proof>
+    </goal>
+   </transf>
    </goal>
   </transf>
   </goal>
@@ -2403,7 +2407,7 @@
   <proof prover="0"><result status="valid" time="0.15" steps="31"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.42" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.12" steps="21"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="21"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.43" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.15" steps="115"/></proof>
@@ -2415,19 +2419,19 @@
   <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.46" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.15" steps="29"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.47" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.48" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.15" steps="27"/></proof>
+  <proof prover="0"><result status="valid" time="0.12" steps="27"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.49" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="32"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.50" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.16" steps="33"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="33"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.51" expl="assertion" proved="true">
   <transf name="split_goal_right" proved="true" >
@@ -2435,16 +2439,16 @@
    <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="34"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.51.1" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="36"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="36"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.51.2" expl="assertion" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="138"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.51.3" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="38"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="38"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.51.4" expl="assertion" proved="true">
-   <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="146"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="146"/></proof>
    </goal>
   </transf>
   </goal>
@@ -2452,34 +2456,30 @@
   <proof prover="0"><result status="valid" time="0.14" steps="33"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.53" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="145"/></proof>
+  <proof prover="0"><result status="valid" time="0.16" steps="145"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.54" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.21" steps="556"/></proof>
+  <proof prover="0"><result status="valid" time="0.22" steps="556"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.55" expl="assertion" proved="true">
-  <transf name="split_vc" proved="true" >
+  <transf name="split_goal_right" proved="true" >
    <goal name="VC destruct_fo_formula.55.0" expl="assertion" proved="true">
-   <proof prover="2"><result status="valid" time="0.44"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="37"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.55.1" expl="assertion" proved="true">
-   <proof prover="2"><result status="valid" time="0.21"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="29"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.55.2" expl="assertion" proved="true">
-   <proof prover="2"><result status="valid" time="0.34"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="159"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.55.3" expl="assertion" proved="true">
-   <proof prover="2"><result status="valid" time="0.33"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.17" steps="38"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.55.4" expl="assertion" proved="true">
-   <proof prover="2"><result status="valid" time="0.46"/></proof>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="132"/></proof>
    </goal>
    <goal name="VC destruct_fo_formula.55.5" expl="assertion" proved="true">
-   <transf name="split_all_full" proved="true" >
-    <goal name="VC destruct_fo_formula.55.5.0" expl="assertion" proved="true">
-    <proof prover="2"><result status="valid" time="0.66"/></proof>
-    </goal>
-   </transf>
+   <proof prover="0" timelimit="5"><result status="valid" time="0.28" steps="662"/></proof>
    </goal>
   </transf>
   </goal>
@@ -2532,13 +2532,13 @@
   <proof prover="0"><result status="valid" time="0.13" steps="90"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.72" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.15" steps="28"/></proof>
+  <proof prover="0"><result status="valid" time="0.16" steps="28"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.73" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.17" steps="88"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="88"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.74" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
+  <proof prover="0"><result status="valid" time="0.08" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.75" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
@@ -2562,7 +2562,7 @@
   <proof prover="0"><result status="valid" time="0.13" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.82" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="19"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.83" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="30"/></proof>
@@ -2574,19 +2574,19 @@
   <proof prover="0"><result status="valid" time="0.16" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.86" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
+  <proof prover="0"><result status="valid" time="0.16" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.87" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.16" steps="30"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.88" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="30"/></proof>
+  <proof prover="0"><result status="valid" time="0.16" steps="30"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.89" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.12" steps="145"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.90" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.10" steps="145"/></proof>
+  <proof prover="0"><result status="valid" time="0.08" steps="145"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.91" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.08" steps="147"/></proof>
@@ -2643,13 +2643,13 @@
   <proof prover="0"><result status="valid" time="0.14" steps="90"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.109" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.16" steps="28"/></proof>
+  <proof prover="0"><result status="valid" time="0.15" steps="28"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.110" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.14" steps="88"/></proof>
+  <proof prover="0"><result status="valid" time="0.05" steps="88"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.111" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.08" steps="29"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.112" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
@@ -2673,7 +2673,7 @@
   <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.119" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.13" steps="19"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.120" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="30"/></proof>
@@ -2685,19 +2685,19 @@
   <proof prover="0"><result status="valid" time="0.15" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.123" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.16" steps="29"/></proof>
+  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.124" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.16" steps="30"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.125" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.16" steps="30"/></proof>
+  <proof prover="0"><result status="valid" time="0.13" steps="30"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.126" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.10" steps="145"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.127" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.08" steps="145"/></proof>
+  <proof prover="0"><result status="valid" time="0.10" steps="145"/></proof>
   </goal>
   <goal name="VC destruct_fo_formula.128" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.08" steps="147"/></proof>
diff --git a/examples/prover/Firstorder_formula_impl/why3shapes.gz b/examples/prover/Firstorder_formula_impl/why3shapes.gz
index 938b79ca8af3ef484fa7036d2ed5e2b05fde7516..1f4b2ae3082640627919699d98e00725805639f9 100644
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diff --git a/examples/prover/Firstorder_formula_list_impl/why3session.xml b/examples/prover/Firstorder_formula_list_impl/why3session.xml
index df6114663a..14755b8e15 100644
--- a/examples/prover/Firstorder_formula_list_impl/why3session.xml
+++ b/examples/prover/Firstorder_formula_list_impl/why3session.xml
@@ -347,7 +347,7 @@
   <proof prover="0"><result status="valid" time="0.17" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula_list.3" expl="assertion" proved="true">
-  <proof prover="0"><result status="valid" time="0.17" steps="15"/></proof>
+  <proof prover="0"><result status="valid" time="0.05" steps="15"/></proof>
   </goal>
   <goal name="VC subst_base_symbol_in_fo_formula_list.4" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.06" steps="15"/></proof>
diff --git a/examples/prover/Firstorder_formula_list_impl/why3shapes.gz b/examples/prover/Firstorder_formula_list_impl/why3shapes.gz
index f3a021e6c2aa19696ecdfa07078e2f7b050f45f4..4e6f601373b98930a181248261d730dc9f8df7cd 100644
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index 2f1b0fc905bf40c49ab2f2ce5cadfd365713ee46..76e56f9b15b0d4b1a64dcd7a5206a928fa9508df 100644
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diff --git a/examples/prover/Firstorder_tableau_impl/why3session.xml b/examples/prover/Firstorder_tableau_impl/why3session.xml
index 1ac95fd67f..5e38ad5023 100644
--- a/examples/prover/Firstorder_tableau_impl/why3session.xml
+++ b/examples/prover/Firstorder_tableau_impl/why3session.xml
@@ -42,7 +42,7 @@
   <proof prover="1"><result status="valid" time="0.16" steps="16"/></proof>
   </goal>
   <goal name="VC nlmodel_subst_commutation_lemma_tableau.9" expl="assertion" proved="true">
-  <proof prover="1"><result status="valid" time="0.18" steps="17"/></proof>
+  <proof prover="1"><result status="valid" time="0.05" steps="17"/></proof>
   </goal>
   <goal name="VC nlmodel_subst_commutation_lemma_tableau.10" expl="assertion" proved="true">
   <proof prover="1"><result status="valid" time="0.15" steps="17"/></proof>
@@ -97,7 +97,7 @@
   <proof prover="1"><result status="valid" time="0.12" steps="63"/></proof>
   </goal>
   <goal name="VC model_equal_tableau.9" expl="precondition" proved="true">
-  <proof prover="1"><result status="valid" time="0.18" steps="15"/></proof>
+  <proof prover="1"><result status="valid" time="0.06" steps="15"/></proof>
   </goal>
   <goal name="VC model_equal_tableau.10" expl="precondition" proved="true">
   <proof prover="1"><result status="valid" time="0.18" steps="49"/></proof>
@@ -106,7 +106,7 @@
   <proof prover="1"><result status="valid" time="0.16" steps="67"/></proof>
   </goal>
   <goal name="VC model_equal_tableau.12" expl="precondition" proved="true">
-  <proof prover="1"><result status="valid" time="0.19" steps="15"/></proof>
+  <proof prover="1"><result status="valid" time="0.06" steps="15"/></proof>
   </goal>
   <goal name="VC model_equal_tableau.13" expl="precondition" proved="true">
   <proof prover="1"><result status="valid" time="0.13" steps="70"/></proof>
diff --git a/examples/prover/Firstorder_tableau_impl/why3shapes.gz b/examples/prover/Firstorder_tableau_impl/why3shapes.gz
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diff --git a/examples/prover/FormulaTransformations/why3session.xml b/examples/prover/FormulaTransformations/why3session.xml
index c38d666c2d..0872178636 100644
--- a/examples/prover/FormulaTransformations/why3session.xml
+++ b/examples/prover/FormulaTransformations/why3session.xml
@@ -288,7 +288,7 @@
   <proof prover="4"><result status="valid" time="0.66" steps="4879"/></proof>
   </goal>
   <goal name="VC smart_and.12" expl="postcondition" proved="true">
-  <proof prover="4"><result status="valid" time="0.24" steps="91"/></proof>
+  <proof prover="4"><result status="valid" time="0.10" steps="91"/></proof>
   </goal>
   <goal name="VC smart_and.13" expl="postcondition" proved="true">
   <transf name="eliminate_recursion" proved="true" >
@@ -1425,7 +1425,7 @@
   <proof prover="4"><result status="valid" time="0.11" steps="79"/></proof>
   </goal>
   <goal name="VC skolemize.20" expl="precondition" proved="true">
-  <proof prover="4"><result status="valid" time="0.10" steps="56"/></proof>
+  <proof prover="4"><result status="valid" time="0.18" steps="56"/></proof>
   </goal>
   <goal name="VC skolemize.21" expl="precondition" proved="true">
   <proof prover="4"><result status="valid" time="0.11" steps="90"/></proof>
@@ -1528,7 +1528,7 @@
   <proof prover="4"><result status="valid" time="0.18" steps="79"/></proof>
   </goal>
   <goal name="VC skolemize.45" expl="precondition" proved="true">
-  <proof prover="4"><result status="valid" time="0.18" steps="56"/></proof>
+  <proof prover="4"><result status="valid" time="0.10" steps="56"/></proof>
   </goal>
   <goal name="VC skolemize.46" expl="precondition" proved="true">
   <proof prover="4"><result status="valid" time="0.17" steps="90"/></proof>
@@ -2229,7 +2229,7 @@
   <proof prover="4"><result status="valid" time="0.28" steps="535"/></proof>
   </goal>
   <goal name="VC term_list_free_vars_noghost.9" expl="postcondition" proved="true">
-  <proof prover="4"><result status="valid" time="0.20" steps="25"/></proof>
+  <proof prover="4"><result status="valid" time="0.08" steps="25"/></proof>
   </goal>
  </transf>
  </goal>
diff --git a/examples/prover/FormulaTransformations/why3shapes.gz b/examples/prover/FormulaTransformations/why3shapes.gz
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diff --git a/examples/prover/Prover/why3session.xml b/examples/prover/Prover/why3session.xml
index 67c5fefead..5ca4c67825 100644
--- a/examples/prover/Prover/why3session.xml
+++ b/examples/prover/Prover/why3session.xml
@@ -1980,7 +1980,7 @@
   <proof prover="2"><result status="valid" time="0.23" steps="85"/></proof>
   </goal>
   <goal name="VC decompose_literal.129" expl="precondition" proved="true">
-  <proof prover="2"><result status="valid" time="6.28" steps="1287"/></proof>
+  <proof prover="2"><result status="valid" time="7.23" steps="1287"/></proof>
   </goal>
   <goal name="VC decompose_literal.130" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.13" steps="71"/></proof>
@@ -5156,7 +5156,7 @@
   <proof prover="2"><result status="valid" time="0.15" steps="50"/></proof>
   </goal>
   <goal name="VC contradiction_find_neg_atom.96" expl="precondition" proved="true">
-  <proof prover="2"><result status="valid" time="0.28" steps="265"/></proof>
+  <proof prover="2"><result status="valid" time="0.15" steps="265"/></proof>
   </goal>
   <goal name="VC contradiction_find_neg_atom.97" expl="precondition" proved="true">
   <proof prover="2"><result status="valid" time="0.12" steps="51"/></proof>
diff --git a/examples/prover/Prover/why3shapes.gz b/examples/prover/Prover/why3shapes.gz
index fe55b6ae1ba3b27f6baa6506d4584c6af35ea9b5..580add4206d8dea1e026094ade0aad34e5fa157e 100644
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diff --git a/examples/prover/Unification/why3session.xml b/examples/prover/Unification/why3session.xml
index 74b4f81210..6fb8138fd4 100644
--- a/examples/prover/Unification/why3session.xml
+++ b/examples/prover/Unification/why3session.xml
@@ -1065,10 +1065,10 @@
   <proof prover="12"><result status="valid" time="0.10" steps="79"/></proof>
   </goal>
   <goal name="VC unification_term.117" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.15" steps="39"/></proof>
+  <proof prover="12"><result status="valid" time="0.04" steps="39"/></proof>
   </goal>
   <goal name="VC unification_term.118" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.12" steps="39"/></proof>
+  <proof prover="12"><result status="valid" time="0.08" steps="39"/></proof>
   </goal>
   <goal name="VC unification_term.119" expl="exceptional postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.11" steps="32"/></proof>
@@ -1110,19 +1110,19 @@
   <proof prover="12"><result status="valid" time="0.04" steps="61"/></proof>
   </goal>
   <goal name="VC unification_term.132" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.10" steps="38"/></proof>
+  <proof prover="12"><result status="valid" time="0.04" steps="38"/></proof>
   </goal>
   <goal name="VC unification_term.133" expl="postcondition" proved="true">
   <proof prover="13"><result status="valid" time="0.62"/></proof>
   </goal>
   <goal name="VC unification_term.134" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.11" steps="79"/></proof>
+  <proof prover="12"><result status="valid" time="0.04" steps="79"/></proof>
   </goal>
   <goal name="VC unification_term.135" expl="postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.11" steps="39"/></proof>
   </goal>
   <goal name="VC unification_term.136" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.06" steps="39"/></proof>
+  <proof prover="12"><result status="valid" time="0.08" steps="39"/></proof>
   </goal>
   <goal name="VC unification_term.137" expl="exceptional postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.15" steps="32"/></proof>
@@ -1171,7 +1171,7 @@
   <proof prover="12"><result status="valid" time="0.13" steps="42"/></proof>
   </goal>
   <goal name="VC unification_term.152" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.13" steps="42"/></proof>
+  <proof prover="12"><result status="valid" time="0.11" steps="42"/></proof>
   </goal>
   <goal name="VC unification_term.153" expl="postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.09" steps="84"/></proof>
@@ -1180,7 +1180,7 @@
   <proof prover="12"><result status="valid" time="0.04" steps="66"/></proof>
   </goal>
   <goal name="VC unification_term.155" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.09" steps="42"/></proof>
+  <proof prover="12"><result status="valid" time="0.11" steps="42"/></proof>
   </goal>
   <goal name="VC unification_term.156" expl="postcondition" proved="true">
   <proof prover="13"><result status="valid" time="0.68"/></proof>
@@ -1225,7 +1225,7 @@
   <proof prover="12"><result status="valid" time="0.06" steps="61"/></proof>
   </goal>
   <goal name="VC unification_term.170" expl="precondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.17" steps="125"/></proof>
+  <proof prover="12"><result status="valid" time="0.05" steps="125"/></proof>
   </goal>
   <goal name="VC unification_term.171" expl="precondition" proved="true">
   <proof prover="12"><result status="valid" time="0.11" steps="61"/></proof>
@@ -1255,10 +1255,10 @@
   <proof prover="6"><result status="valid" time="0.50"/></proof>
   </goal>
   <goal name="VC unification_term.180" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.04" steps="39"/></proof>
+  <proof prover="12"><result status="valid" time="0.15" steps="39"/></proof>
   </goal>
   <goal name="VC unification_term.181" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.08" steps="39"/></proof>
+  <proof prover="12"><result status="valid" time="0.12" steps="39"/></proof>
   </goal>
   <goal name="VC unification_term.182" expl="exceptional postcondition" proved="true">
   <proof prover="6"><result status="valid" time="0.38"/></proof>
@@ -1302,19 +1302,19 @@
   <proof prover="12"><result status="valid" time="0.07" steps="61"/></proof>
   </goal>
   <goal name="VC unification_term.195" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.04" steps="38"/></proof>
+  <proof prover="12"><result status="valid" time="0.10" steps="38"/></proof>
   </goal>
   <goal name="VC unification_term.196" expl="postcondition" proved="true">
   <proof prover="13"><result status="valid" time="0.54"/></proof>
   </goal>
   <goal name="VC unification_term.197" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.04" steps="79"/></proof>
+  <proof prover="12"><result status="valid" time="0.11" steps="79"/></proof>
   </goal>
   <goal name="VC unification_term.198" expl="postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.15" steps="39"/></proof>
   </goal>
   <goal name="VC unification_term.199" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.10" steps="39"/></proof>
+  <proof prover="12"><result status="valid" time="0.06" steps="39"/></proof>
   </goal>
   <goal name="VC unification_term.200" expl="exceptional postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.11" steps="32"/></proof>
@@ -1429,13 +1429,13 @@
   <proof prover="13"><result status="valid" time="0.63"/></proof>
   </goal>
   <goal name="VC unification_term.237" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.16" steps="78"/></proof>
+  <proof prover="1"><result status="valid" time="0.33"/></proof>
   </goal>
   <goal name="VC unification_term.238" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.08" steps="38"/></proof>
+  <proof prover="12"><result status="valid" time="0.04" steps="38"/></proof>
   </goal>
   <goal name="VC unification_term.239" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.14" steps="38"/></proof>
+  <proof prover="1"><result status="valid" time="0.38"/></proof>
   </goal>
   <goal name="VC unification_term.240" expl="exceptional postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.11" steps="31"/></proof>
@@ -1486,7 +1486,7 @@
   <proof prover="12"><result status="valid" time="0.12" steps="38"/></proof>
   </goal>
   <goal name="VC unification_term.256" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.11" steps="38"/></proof>
+  <proof prover="12"><result status="valid" time="0.13" steps="38"/></proof>
   </goal>
   <goal name="VC unification_term.257" expl="postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.13" steps="79"/></proof>
@@ -1495,7 +1495,7 @@
   <proof prover="12"><result status="valid" time="0.06" steps="61"/></proof>
   </goal>
   <goal name="VC unification_term.259" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.11" steps="38"/></proof>
+  <proof prover="12"><result status="valid" time="0.09" steps="38"/></proof>
   </goal>
   <goal name="VC unification_term.260" expl="postcondition" proved="true">
   <proof prover="13"><result status="valid" time="0.64"/></proof>
@@ -1561,7 +1561,7 @@
   <proof prover="12"><result status="valid" time="0.12" steps="31"/></proof>
   </goal>
   <goal name="VC unification_term.281" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.08" steps="31"/></proof>
+  <proof prover="12"><result status="valid" time="0.10" steps="31"/></proof>
   </goal>
   <goal name="VC unification_term.282" expl="exceptional postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.11" steps="24"/></proof>
@@ -1609,13 +1609,13 @@
   <proof prover="13"><result status="valid" time="0.62"/></proof>
   </goal>
   <goal name="VC unification_term.297" expl="postcondition" proved="true">
-  <proof prover="1"><result status="valid" time="0.33"/></proof>
+  <proof prover="12"><result status="valid" time="0.16" steps="70"/></proof>
   </goal>
   <goal name="VC unification_term.298" expl="postcondition" proved="true">
-  <proof prover="12"><result status="valid" time="0.04" steps="30"/></proof>
+  <proof prover="12"><result status="valid" time="0.08" steps="30"/></proof>
   </goal>
   <goal name="VC unification_term.299" expl="postcondition" proved="true">
-  <proof prover="1"><result status="valid" time="0.38"/></proof>
+  <proof prover="12"><result status="valid" time="0.14" steps="30"/></proof>
   </goal>
   <goal name="VC unification_term.300" expl="exceptional postcondition" proved="true">
   <proof prover="12"><result status="valid" time="0.06" steps="23"/></proof>
diff --git a/examples/prover/Unification/why3shapes.gz b/examples/prover/Unification/why3shapes.gz
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diff --git a/examples/random_access_list/why3shapes.gz b/examples/random_access_list/why3shapes.gz
index ba811f8fe4d5680d96cfd9ed8f99df995c0c0735..ebfe7eb30bd8f778dcc0a36a38c7267f896e25eb 100644
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diff --git a/examples/register_allocation/why3shapes.gz b/examples/register_allocation/why3shapes.gz
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diff --git a/examples/relabel/why3session.xml b/examples/relabel/why3session.xml
index 1d8dec74fd..8860d34a8f 100644
--- a/examples/relabel/why3session.xml
+++ b/examples/relabel/why3session.xml
@@ -12,7 +12,7 @@
  <proof prover="1" memlimit="0"><result status="valid" time="0.02" steps="36"/></proof>
  </goal>
  <goal name="VC fresh" expl="VC for fresh" proved="true">
- <proof prover="1" timelimit="5"><result status="valid" time="0.00" steps="1"/></proof>
+ <proof prover="1" timelimit="5"><result status="valid" time="0.00" steps="2"/></proof>
  </goal>
  <goal name="VC relabel" expl="VC for relabel" proved="true">
  <proof prover="1" timelimit="5"><result status="valid" time="0.25" steps="1790"/></proof>
diff --git a/examples/relabel/why3shapes.gz b/examples/relabel/why3shapes.gz
index c6852b8ccae627f37a359f5d45e0a4a12cd02ae9..6fca4c9b50c31a82878e1c20bc1914398298aff7 100644
GIT binary patch
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diff --git a/examples/remove_duplicate/why3session.xml b/examples/remove_duplicate/why3session.xml
index 7f9b6cb712..20fdee903e 100644
--- a/examples/remove_duplicate/why3session.xml
+++ b/examples/remove_duplicate/why3session.xml
@@ -30,7 +30,7 @@
   <proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
   </goal>
   <goal name="VC remove_duplicate.6" expl="loop invariant init" proved="true">
-  <proof prover="1"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="1"><result status="valid" time="0.00" steps="7"/></proof>
   </goal>
   <goal name="VC remove_duplicate.7" expl="index in array bounds" proved="true">
   <proof prover="1"><result status="valid" time="0.00" steps="11"/></proof>
diff --git a/examples/remove_duplicate/why3shapes.gz b/examples/remove_duplicate/why3shapes.gz
index 8d603152f2ddcf23752e669a06593b049b3fd1db..d6a3a1eb7bdc8a785403cc8b6d4b1a00ca4b9ef6 100644
GIT binary patch
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diff --git a/examples/remove_duplicate_hash/why3shapes.gz b/examples/remove_duplicate_hash/why3shapes.gz
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diff --git a/examples/resizable_array/why3shapes.gz b/examples/resizable_array/why3shapes.gz
index 593a1ac5f0e070107b33eb195e5ed9a857f07d28..5c7822b2cf306337f498156d8bf24805efabe37b 100644
GIT binary patch
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diff --git a/examples/rightmostbittrick/why3shapes.gz b/examples/rightmostbittrick/why3shapes.gz
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diff --git a/examples/schorr_waite/why3session.xml b/examples/schorr_waite/why3session.xml
index 6ec7fb6251..51a38cf194 100644
--- a/examples/schorr_waite/why3session.xml
+++ b/examples/schorr_waite/why3session.xml
@@ -62,13 +62,13 @@
   <proof prover="3"><result status="valid" time="0.01" steps="6"/></proof>
   </goal>
   <goal name="VC schorr_waite.9" expl="loop invariant init" proved="true">
-  <proof prover="3"><result status="valid" time="0.01" steps="6"/></proof>
+  <proof prover="3"><result status="valid" time="0.00" steps="6"/></proof>
   </goal>
   <goal name="VC schorr_waite.10" expl="loop invariant init" proved="true">
   <proof prover="3"><result status="valid" time="0.01" steps="6"/></proof>
   </goal>
   <goal name="VC schorr_waite.11" expl="loop invariant init" proved="true">
-  <proof prover="3"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="3"><result status="valid" time="0.01" steps="9"/></proof>
   </goal>
   <goal name="VC schorr_waite.12" expl="loop invariant init" proved="true">
   <proof prover="3"><result status="valid" time="0.01" steps="7"/></proof>
@@ -86,7 +86,7 @@
   <proof prover="3"><result status="valid" time="0.01" steps="8"/></proof>
   </goal>
   <goal name="VC schorr_waite.17" expl="loop invariant init" proved="true">
-  <proof prover="3"><result status="valid" time="0.01" steps="1"/></proof>
+  <proof prover="3"><result status="valid" time="0.01" steps="8"/></proof>
   </goal>
   <goal name="VC schorr_waite.18" expl="loop invariant init" proved="true">
   <proof prover="3"><result status="valid" time="0.00" steps="8"/></proof>
@@ -171,13 +171,13 @@
    <goal name="VC schorr_waite.44.0" expl="loop invariant preservation" proved="true">
    <transf name="split_goal_right" proved="true" >
     <goal name="VC schorr_waite.44.0.0" expl="loop invariant preservation" proved="true">
-    <proof prover="0"><result status="valid" time="1.24"/></proof>
-    <proof prover="3"><result status="valid" time="0.52" steps="933"/></proof>
+    <proof prover="3"><result status="valid" time="0.53" steps="933"/></proof>
     </goal>
     <goal name="VC schorr_waite.44.0.1" expl="loop invariant preservation" proved="true">
-    <proof prover="3"><result status="valid" time="0.02" steps="26"/></proof>
+    <proof prover="3"><result status="valid" time="0.01" steps="26"/></proof>
     </goal>
     <goal name="VC schorr_waite.44.0.2" expl="loop invariant preservation" proved="true">
+    <proof prover="0"><result status="valid" time="0.05"/></proof>
     <proof prover="3"><result status="valid" time="0.01" steps="10"/></proof>
     </goal>
    </transf>
@@ -185,11 +185,11 @@
    <goal name="VC schorr_waite.44.1" expl="loop invariant preservation" proved="true">
    <transf name="split_goal_right" proved="true" >
     <goal name="VC schorr_waite.44.1.0" expl="loop invariant preservation" proved="true">
-    <proof prover="3"><result status="valid" time="0.42" steps="811"/></proof>
+    <proof prover="0"><result status="valid" time="1.22"/></proof>
+    <proof prover="3"><result status="valid" time="0.43" steps="811"/></proof>
     </goal>
     <goal name="VC schorr_waite.44.1.1" expl="loop invariant preservation" proved="true">
-    <proof prover="0"><result status="valid" time="0.07"/></proof>
-    <proof prover="3"><result status="valid" time="0.02" steps="26"/></proof>
+    <proof prover="3"><result status="valid" time="0.01" steps="26"/></proof>
     </goal>
     <goal name="VC schorr_waite.44.1.2" expl="loop invariant preservation" proved="true">
     <proof prover="3"><result status="valid" time="0.01" steps="10"/></proof>
@@ -397,13 +397,13 @@
   <proof prover="3"><result status="valid" time="0.09" steps="175"/></proof>
   </goal>
   <goal name="VC schorr_waite.111" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.07" steps="80"/></proof>
+  <proof prover="3"><result status="valid" time="0.04" steps="80"/></proof>
   </goal>
   <goal name="VC schorr_waite.112" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.06" steps="232"/></proof>
+  <proof prover="3"><result status="valid" time="0.02" steps="232"/></proof>
   </goal>
   <goal name="VC schorr_waite.113" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.22" steps="650"/></proof>
+  <proof prover="3"><result status="valid" time="0.30" steps="650"/></proof>
   </goal>
   <goal name="VC schorr_waite.114" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.17" steps="311"/></proof>
@@ -415,7 +415,7 @@
   <proof prover="3"><result status="valid" time="0.02" steps="38"/></proof>
   </goal>
   <goal name="VC schorr_waite.117" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.36" steps="548"/></proof>
+  <proof prover="3"><result status="valid" time="0.38" steps="548"/></proof>
   </goal>
   <goal name="VC schorr_waite.118" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.01" steps="37"/></proof>
@@ -424,10 +424,10 @@
   <proof prover="3"><result status="valid" time="0.02" steps="43"/></proof>
   </goal>
   <goal name="VC schorr_waite.120" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.13" steps="198"/></proof>
+  <proof prover="3"><result status="valid" time="0.09" steps="198"/></proof>
   </goal>
   <goal name="VC schorr_waite.121" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="3.78" steps="2610"/></proof>
+  <proof prover="3"><result status="valid" time="3.48" steps="2610"/></proof>
   </goal>
   <goal name="VC schorr_waite.122" expl="precondition" proved="true">
   <proof prover="3"><result status="valid" time="0.02" steps="19"/></proof>
@@ -487,13 +487,13 @@
   <proof prover="3"><result status="valid" time="0.08" steps="50"/></proof>
   </goal>
   <goal name="VC schorr_waite.141" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.04" steps="49"/></proof>
+  <proof prover="3"><result status="valid" time="0.07" steps="49"/></proof>
   </goal>
   <goal name="VC schorr_waite.142" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.02" steps="64"/></proof>
+  <proof prover="3"><result status="valid" time="0.06" steps="64"/></proof>
   </goal>
   <goal name="VC schorr_waite.143" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.06" steps="85"/></proof>
+  <proof prover="3"><result status="valid" time="0.04" steps="85"/></proof>
   </goal>
   <goal name="VC schorr_waite.144" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.02" steps="76"/></proof>
@@ -505,7 +505,7 @@
   <proof prover="3"><result status="valid" time="0.02" steps="31"/></proof>
   </goal>
   <goal name="VC schorr_waite.147" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.06" steps="125"/></proof>
+  <proof prover="3"><result status="valid" time="0.05" steps="125"/></proof>
   </goal>
   <goal name="VC schorr_waite.148" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.02" steps="30"/></proof>
@@ -514,7 +514,7 @@
   <proof prover="3"><result status="valid" time="0.02" steps="37"/></proof>
   </goal>
   <goal name="VC schorr_waite.150" expl="loop invariant preservation" proved="true">
-  <proof prover="3"><result status="valid" time="0.09" steps="117"/></proof>
+  <proof prover="3"><result status="valid" time="0.13" steps="117"/></proof>
   </goal>
   <goal name="VC schorr_waite.151" expl="loop invariant preservation" proved="true">
   <proof prover="3"><result status="valid" time="0.02" steps="49"/></proof>
diff --git a/examples/schorr_waite/why3shapes.gz b/examples/schorr_waite/why3shapes.gz
index de5dba6463cc1244b25f25a109fd84e12fab7499..a25b41562a978fa5613a4cbe1e651e215ee8d733 100644
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diff --git a/examples/schorr_waite_via_recursion/why3session.xml b/examples/schorr_waite_via_recursion/why3session.xml
index 682b477ef4..c39fc21e1c 100644
--- a/examples/schorr_waite_via_recursion/why3session.xml
+++ b/examples/schorr_waite_via_recursion/why3session.xml
@@ -135,7 +135,7 @@
   <proof prover="0"><result status="valid" time="0.01" steps="7"/></proof>
   </goal>
   <goal name="VC schorr_waite.39" expl="postcondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.01" steps="2"/></proof>
+  <proof prover="0"><result status="valid" time="0.00" steps="6"/></proof>
   </goal>
   <goal name="VC schorr_waite.40" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="7"/></proof>
@@ -147,7 +147,7 @@
   <proof prover="0"><result status="valid" time="0.01" steps="7"/></proof>
   </goal>
   <goal name="VC schorr_waite.43" expl="postcondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.00" steps="2"/></proof>
+  <proof prover="0"><result status="valid" time="0.01" steps="8"/></proof>
   </goal>
   <goal name="VC schorr_waite.44" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.00" steps="8"/></proof>
@@ -294,7 +294,7 @@
   <proof prover="0"><result status="valid" time="0.01" steps="4"/></proof>
   </goal>
   <goal name="VC schorr_waite.92" expl="precondition" proved="true">
-  <proof prover="0"><result status="valid" time="0.01" steps="2"/></proof>
+  <proof prover="0"><result status="valid" time="0.01" steps="8"/></proof>
   </goal>
   <goal name="VC schorr_waite.93" expl="precondition" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="8"/></proof>
diff --git a/examples/schorr_waite_via_recursion/why3shapes.gz b/examples/schorr_waite_via_recursion/why3shapes.gz
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diff --git a/examples/selection_sort/why3shapes.gz b/examples/selection_sort/why3shapes.gz
index 805961e01b7e6caf4103db78ce03dc8180d91955..60cd8fe1ad00a0de9424425b0f46607984101594 100644
GIT binary patch
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diff --git a/examples/sf/why3shapes.gz b/examples/sf/why3shapes.gz
index 8b70a927ce5073c9908ffc8d5c61ed6b5e719898..174f376e87ec917565a899f3b0341d31a302eb76 100644
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diff --git a/examples/sieve/why3shapes.gz b/examples/sieve/why3shapes.gz
index f3efc45693b209bacfb931407fe593eb98d486f7..af1e0aa47d430f3893708ad3ec887aca1091c93a 100644
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diff --git a/examples/simple_queue/why3shapes.gz b/examples/simple_queue/why3shapes.gz
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GIT binary patch
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diff --git a/examples/skew_heaps/why3shapes.gz b/examples/skew_heaps/why3shapes.gz
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diff --git a/examples/snapshotable_trees/why3shapes.gz b/examples/snapshotable_trees/why3shapes.gz
index 0f36449d396e5ce9a93bd0094d54d3428de9475b..7a005ac8b9e977f93976afad87c84712e1d0ea56 100644
GIT binary patch
literal 1138
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literal 1138
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diff --git a/examples/stdlib/array/why3session.xml b/examples/stdlib/array/why3session.xml
index ffe2f50680..b420f1e766 100644
--- a/examples/stdlib/array/why3session.xml
+++ b/examples/stdlib/array/why3session.xml
@@ -188,7 +188,7 @@
   <proof prover="3"><result status="valid" time="0.00" steps="11"/></proof>
   </goal>
   <goal name="VC exchange_inversion.13" expl="postcondition" proved="true">
-  <proof prover="6"><result status="valid" time="2.36"/></proof>
+  <proof prover="6"><result status="valid" time="2.88"/></proof>
   </goal>
  </transf>
  </goal>
diff --git a/examples/stdlib/array/why3shapes.gz b/examples/stdlib/array/why3shapes.gz
index cc5d1393e4228bacb65f934aa31d8f75f03bb9c5..4df411db58d3f00a6815d5f0c9341e94a2ca0666 100644
GIT binary patch
literal 3639
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diff --git a/examples/sudoku/why3shapes.gz b/examples/sudoku/why3shapes.gz
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diff --git a/examples/sumrange/why3session.xml b/examples/sumrange/why3session.xml
index 7f83a9080e..fe2d1709f1 100644
--- a/examples/sumrange/why3session.xml
+++ b/examples/sumrange/why3session.xml
@@ -182,20 +182,20 @@
     <goal name="VC tree_of_array.7.0.0" expl="assertion" proved="true">
     <transf name="destruct_alg" proved="true" arg1="r">
      <goal name="VC tree_of_array.7.0.0.0" expl="assertion" proved="true">
-     <proof prover="3"><result status="valid" time="0.06"/></proof>
+     <proof prover="3"><result status="valid" time="0.04"/></proof>
      </goal>
      <goal name="VC tree_of_array.7.0.0.1" expl="assertion" proved="true">
-     <proof prover="3"><result status="valid" time="0.05"/></proof>
+     <proof prover="3"><result status="valid" time="0.08"/></proof>
      </goal>
     </transf>
     </goal>
     <goal name="VC tree_of_array.7.0.1" expl="assertion" proved="true">
     <transf name="destruct_alg" proved="true" arg1="r">
      <goal name="VC tree_of_array.7.0.1.0" expl="assertion" proved="true">
-     <proof prover="3"><result status="valid" time="0.04"/></proof>
+     <proof prover="3"><result status="valid" time="0.05"/></proof>
      </goal>
      <goal name="VC tree_of_array.7.0.1.1" expl="assertion" proved="true">
-     <proof prover="3"><result status="valid" time="0.08"/></proof>
+     <proof prover="3"><result status="valid" time="0.06"/></proof>
      </goal>
     </transf>
     </goal>
@@ -291,10 +291,10 @@
   <goal name="VC update.0" expl="VC for update" proved="true">
   <transf name="destruct_alg" proved="true" arg1="t">
    <goal name="VC update.0.0" expl="VC for update" proved="true">
-   <proof prover="3"><result status="valid" time="0.03"/></proof>
+   <proof prover="3"><result status="valid" time="0.04"/></proof>
    </goal>
    <goal name="VC update.0.1" expl="VC for update" proved="true">
-   <proof prover="3"><result status="valid" time="0.04"/></proof>
+   <proof prover="3"><result status="valid" time="0.03"/></proof>
    </goal>
   </transf>
   </goal>
diff --git a/examples/sumrange/why3shapes.gz b/examples/sumrange/why3shapes.gz
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diff --git a/examples/swap/why3shapes.gz b/examples/swap/why3shapes.gz
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diff --git a/examples/topological_sorting/why3shapes.gz b/examples/topological_sorting/why3shapes.gz
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diff --git a/examples/tower_of_hanoi/why3session.xml b/examples/tower_of_hanoi/why3session.xml
index ec925649dc..a1d77cb2db 100644
--- a/examples/tower_of_hanoi/why3session.xml
+++ b/examples/tower_of_hanoi/why3session.xml
@@ -75,7 +75,7 @@
   <proof prover="1"><result status="valid" time="0.00" steps="9"/></proof>
   </goal>
   <goal name="VC hanoi_rec.15" expl="postcondition" proved="true">
-  <proof prover="1"><result status="valid" time="0.00" steps="2"/></proof>
+  <proof prover="1"><result status="valid" time="0.00" steps="9"/></proof>
   </goal>
  </transf>
  </goal>
@@ -182,7 +182,7 @@
   <proof prover="1"><result status="valid" time="0.03" steps="87"/></proof>
   </goal>
   <goal name="VC hanoi_rec.18" expl="postcondition" proved="true">
-  <proof prover="1"><result status="valid" time="0.01" steps="3"/></proof>
+  <proof prover="1"><result status="valid" time="0.01" steps="14"/></proof>
   </goal>
  </transf>
  </goal>
diff --git a/examples/tower_of_hanoi/why3shapes.gz b/examples/tower_of_hanoi/why3shapes.gz
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diff --git a/examples/tree_of_array/why3shapes.gz b/examples/tree_of_array/why3shapes.gz
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diff --git a/examples/unraveling_a_card_trick/why3shapes.gz b/examples/unraveling_a_card_trick/why3shapes.gz
index dcec540c8acf8bdf973383cd8feacaccf2c601b1..4887e4edc7dc6fa53fe64a41caa49f756f5b8c3e 100644
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diff --git a/examples/vacid_0_binary_heaps/proofs/why3shapes.gz b/examples/vacid_0_binary_heaps/proofs/why3shapes.gz
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diff --git a/examples/vacid_0_build_maze/why3shapes.gz b/examples/vacid_0_build_maze/why3shapes.gz
index 4afb5bdf73336d540f47bee369dfde7bda7ab2eb..9d2ea3c023812df56d61abf2b0d1cd318011bb09 100644
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diff --git a/examples/vacid_0_red_black_trees/why3shapes.gz b/examples/vacid_0_red_black_trees/why3shapes.gz
index 94ba810619915869ed950fe53fed04ad77d147df..5e40c094f22ad012aaff40e357107e8102cedcb9 100644
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diff --git a/examples/vacid_0_sparse_array/why3shapes.gz b/examples/vacid_0_sparse_array/why3shapes.gz
index 68aa4aef12654466b2c971319d6c2294d1102424..8b119ecf9654aa098be619ea710237ce657a4b2b 100644
GIT binary patch
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diff --git a/examples/verifythis_2015_dancing_links/why3shapes.gz b/examples/verifythis_2015_dancing_links/why3shapes.gz
index 6950633fe32aa5961e81fbd2b8bd475512c44b95..09aad95f1b41f3680b1b55049bf755e7f7941772 100644
GIT binary patch
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diff --git a/examples/verifythis_2015_parallel_gcd/why3shapes.gz b/examples/verifythis_2015_parallel_gcd/why3shapes.gz
index 07d772e82e20210ca96b12caa93f64ce93e0e47a..698dc0af9a3b9d8ef245dd23b7f12a6e89046423 100644
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diff --git a/examples/verifythis_2015_relaxed_prefix/why3shapes.gz b/examples/verifythis_2015_relaxed_prefix/why3shapes.gz
index 042a586c3e42accfbdd76aa86a1b02e83e6fea1b..e37cefba9adb8b51d23e8b42e79475ac8a441062 100644
GIT binary patch
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diff --git a/examples/verifythis_2016_matrix_multiplication/matrices_ring_simp/why3shapes.gz b/examples/verifythis_2016_matrix_multiplication/matrices_ring_simp/why3shapes.gz
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diff --git a/examples/verifythis_2016_matrix_multiplication/naive/why3session.xml b/examples/verifythis_2016_matrix_multiplication/naive/why3session.xml
index ea65c07965..acea6f5f66 100644
--- a/examples/verifythis_2016_matrix_multiplication/naive/why3session.xml
+++ b/examples/verifythis_2016_matrix_multiplication/naive/why3session.xml
@@ -17,13 +17,13 @@
   <proof prover="0"><result status="valid" time="0.00" steps="5"/></proof>
   </goal>
   <goal name="VC mult_naive.3" expl="loop invariant init" proved="true">
-  <proof prover="0"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="0"><result status="valid" time="0.00" steps="15"/></proof>
   </goal>
   <goal name="VC mult_naive.4" expl="loop invariant init" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="15"/></proof>
   </goal>
   <goal name="VC mult_naive.5" expl="loop invariant init" proved="true">
-  <proof prover="0"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="0"><result status="valid" time="0.00" steps="19"/></proof>
   </goal>
   <goal name="VC mult_naive.6" expl="loop invariant init" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="15"/></proof>
diff --git a/examples/verifythis_2016_matrix_multiplication/naive/why3shapes.gz b/examples/verifythis_2016_matrix_multiplication/naive/why3shapes.gz
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diff --git a/examples/verifythis_2016_tree_traversal/why3session.xml b/examples/verifythis_2016_tree_traversal/why3session.xml
index b64e48e115..76b2e501a9 100644
--- a/examples/verifythis_2016_tree_traversal/why3session.xml
+++ b/examples/verifythis_2016_tree_traversal/why3session.xml
@@ -191,7 +191,7 @@
   <proof prover="0"><result status="valid" time="0.00" steps="6"/></proof>
   </goal>
   <goal name="VC markTree.56" expl="loop invariant init" proved="true">
-  <proof prover="0"><result status="valid" time="0.01" steps="2"/></proof>
+  <proof prover="0"><result status="valid" time="0.01" steps="10"/></proof>
   </goal>
   <goal name="VC markTree.57" expl="loop invariant init" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="17"/></proof>
diff --git a/examples/verifythis_2016_tree_traversal/why3shapes.gz b/examples/verifythis_2016_tree_traversal/why3shapes.gz
index 91299536654ca1d64f192069d6f4102e97ef8df1..fbda93de07886d25461812ab899c5476c63f283f 100644
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diff --git a/examples/verifythis_2017_maximum_sum_submatrix/why3shapes.gz b/examples/verifythis_2017_maximum_sum_submatrix/why3shapes.gz
index fed14fcfd9fbcf3a30b04140ae76515fe30364e5..f6cf032a39f1de32b4af88a74367e586494c3973 100644
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diff --git a/examples/verifythis_2017_odd_even_sort_rearranging/why3session.xml b/examples/verifythis_2017_odd_even_sort_rearranging/why3session.xml
index 9333f75696..c7444ee669 100644
--- a/examples/verifythis_2017_odd_even_sort_rearranging/why3session.xml
+++ b/examples/verifythis_2017_odd_even_sort_rearranging/why3session.xml
@@ -219,7 +219,7 @@
   <proof prover="4"><result status="valid" time="0.01" steps="12"/></proof>
   </goal>
   <goal name="VC odd_even_sort.5" expl="loop invariant init" proved="true">
-  <proof prover="4"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="4"><result status="valid" time="0.00" steps="9"/></proof>
   </goal>
   <goal name="VC odd_even_sort.6" expl="loop invariant init" proved="true">
   <proof prover="4"><result status="valid" time="0.01" steps="13"/></proof>
diff --git a/examples/verifythis_2017_odd_even_sort_rearranging/why3shapes.gz b/examples/verifythis_2017_odd_even_sort_rearranging/why3shapes.gz
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diff --git a/examples/verifythis_2017_tree_buffer/why3shapes.gz b/examples/verifythis_2017_tree_buffer/why3shapes.gz
index aefd7f488c7572ed29ed2ff0d5422e580cec0ec6..466b83acd816c2de8faed3e3670c590f640d22cd 100644
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diff --git a/examples/verifythis_2018_array_based_queuing_lock_1/why3session.xml b/examples/verifythis_2018_array_based_queuing_lock_1/why3session.xml
index b2de094d56..57aad2fd02 100644
--- a/examples/verifythis_2018_array_based_queuing_lock_1/why3session.xml
+++ b/examples/verifythis_2018_array_based_queuing_lock_1/why3session.xml
@@ -227,7 +227,7 @@
   <proof prover="0"><result status="valid" time="0.02" steps="36"/></proof>
   </goal>
   <goal name="VC main.45" expl="loop invariant preservation" proved="true">
-  <proof prover="0"><result status="valid" time="0.60" steps="3621"/></proof>
+  <proof prover="0"><result status="valid" time="0.68" steps="3621"/></proof>
   </goal>
   <goal name="VC main.46" expl="index in array bounds" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="26"/></proof>
@@ -308,7 +308,7 @@
   <proof prover="0"><result status="valid" time="0.02" steps="154"/></proof>
   </goal>
   <goal name="VC main.63" expl="loop invariant preservation" proved="true">
-  <proof prover="0"><result status="valid" time="0.02" steps="152"/></proof>
+  <proof prover="0"><result status="valid" time="0.03" steps="152"/></proof>
   </goal>
   <goal name="VC main.64" expl="loop invariant preservation" proved="true">
   <proof prover="0"><result status="valid" time="0.01" steps="36"/></proof>
@@ -455,13 +455,13 @@
   <proof prover="0"><result status="valid" time="0.02" steps="152"/></proof>
   </goal>
   <goal name="VC main.99" expl="loop invariant preservation" proved="true">
-  <proof prover="0"><result status="valid" time="0.03" steps="152"/></proof>
+  <proof prover="0"><result status="valid" time="0.02" steps="152"/></proof>
   </goal>
   <goal name="VC main.100" expl="loop invariant preservation" proved="true">
   <proof prover="0"><result status="valid" time="0.02" steps="36"/></proof>
   </goal>
   <goal name="VC main.101" expl="loop invariant preservation" proved="true">
-  <proof prover="0"><result status="valid" time="0.68" steps="3551"/></proof>
+  <proof prover="0"><result status="valid" time="0.60" steps="3551"/></proof>
   </goal>
   <goal name="VC main.102" expl="out of loop bounds" proved="true">
   <proof prover="0"><result status="valid" time="0.03" steps="14"/></proof>
diff --git a/examples/verifythis_2018_array_based_queuing_lock_1/why3shapes.gz b/examples/verifythis_2018_array_based_queuing_lock_1/why3shapes.gz
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diff --git a/examples/verifythis_2018_le_rouge_et_le_noir_1/why3session.xml b/examples/verifythis_2018_le_rouge_et_le_noir_1/why3session.xml
index da0f799af9..c2e1fc1ca6 100644
--- a/examples/verifythis_2018_le_rouge_et_le_noir_1/why3session.xml
+++ b/examples/verifythis_2018_le_rouge_et_le_noir_1/why3session.xml
@@ -627,7 +627,7 @@
     <proof prover="0"><result status="valid" time="0.16" steps="657"/></proof>
     </goal>
     <goal name="VC enum.10.1.2" expl="VC for enum" proved="true">
-    <proof prover="0" timelimit="10" memlimit="4000"><result status="valid" time="5.51" steps="5902"/></proof>
+    <proof prover="0" timelimit="10" memlimit="4000"><result status="valid" time="4.68" steps="5902"/></proof>
     </goal>
    </transf>
    </goal>
diff --git a/examples/verifythis_2018_le_rouge_et_le_noir_1/why3shapes.gz b/examples/verifythis_2018_le_rouge_et_le_noir_1/why3shapes.gz
index 300331cf5371a0e736c34b2df7b8ca9d8120d2ce..3dfbe82cc7460a93e89adb0a9031dec5bc8e4b2e 100644
GIT binary patch
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diff --git a/examples/verifythis_2018_le_rouge_et_le_noir_2/why3shapes.gz b/examples/verifythis_2018_le_rouge_et_le_noir_2/why3shapes.gz
index ad8eccaaaa2b283165801c101142422643296fd9..2c5fc3b4ac19b2da54dfece912a6ac61b111d1e3 100644
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diff --git a/examples/verifythis_2018_mind_the_gap_1/why3shapes.gz b/examples/verifythis_2018_mind_the_gap_1/why3shapes.gz
index 1f1525f0bd8c61dce51cb3af1977c8afdcec43e1..23d3aaf99e6b28e3f557056c381b730eb874c6e5 100644
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diff --git a/examples/verifythis_2018_mind_the_gap_2/why3shapes.gz b/examples/verifythis_2018_mind_the_gap_2/why3shapes.gz
index a785d104cd3d3a08e33b37faa2867d146a055ca9..869a32710d97471bffcc2e15934ab57e19442494 100644
GIT binary patch
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diff --git a/examples/verifythis_PrefixSumRec/why3shapes.gz b/examples/verifythis_PrefixSumRec/why3shapes.gz
index fccd5b1d63ce37c64c9401157b9a856f267a174f..7bd1fcd8f9b47cddc5d25d72d206b3db65f0c550 100644
GIT binary patch
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diff --git a/examples/verifythis_fm2012_LRS/why3session.xml b/examples/verifythis_fm2012_LRS/why3session.xml
index f819db2282..4f81aa8af8 100644
--- a/examples/verifythis_fm2012_LRS/why3session.xml
+++ b/examples/verifythis_fm2012_LRS/why3session.xml
@@ -28,7 +28,7 @@
   <proof prover="2"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC lcp.4" expl="loop invariant preservation" proved="true">
-  <proof prover="1"><result status="valid" time="0.15"/></proof>
+  <proof prover="1"><result status="valid" time="0.02"/></proof>
   </goal>
   <goal name="VC lcp.5" expl="postcondition" proved="true">
   <proof prover="1"><result status="valid" time="0.02"/></proof>
diff --git a/examples/verifythis_fm2012_LRS/why3shapes.gz b/examples/verifythis_fm2012_LRS/why3shapes.gz
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diff --git a/examples/verifythis_fm2012_treedel/why3session.xml b/examples/verifythis_fm2012_treedel/why3session.xml
index 54874172b3..c8589d874b 100644
--- a/examples/verifythis_fm2012_treedel/why3session.xml
+++ b/examples/verifythis_fm2012_treedel/why3session.xml
@@ -185,7 +185,7 @@
   <proof prover="2"><result status="valid" time="0.03"/></proof>
   </goal>
   <goal name="VC search_tree_delete_min.5" expl="postcondition" proved="true">
-  <proof prover="6"><result status="valid" time="0.01" steps="1"/></proof>
+  <proof prover="6"><result status="valid" time="0.01" steps="10"/></proof>
   </goal>
   <goal name="VC search_tree_delete_min.6" expl="postcondition" proved="true">
   <proof prover="6"><result status="valid" time="0.04" steps="131"/></proof>
@@ -209,7 +209,7 @@
   <proof prover="6"><result status="valid" time="0.07" steps="250"/></proof>
   </goal>
   <goal name="VC search_tree_delete_min.13" expl="loop invariant init" proved="true">
-  <proof prover="6"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="6"><result status="valid" time="0.00" steps="13"/></proof>
   </goal>
   <goal name="VC search_tree_delete_min.14" expl="assertion" proved="true">
   <proof prover="6"><result status="valid" time="0.02" steps="88"/></proof>
@@ -236,7 +236,7 @@
   <proof prover="6"><result status="valid" time="0.13" steps="489"/></proof>
   </goal>
   <goal name="VC search_tree_delete_min.22" expl="loop invariant preservation" proved="true">
-  <proof prover="6"><result status="valid" time="0.00" steps="1"/></proof>
+  <proof prover="6"><result status="valid" time="0.00" steps="36"/></proof>
   </goal>
   <goal name="VC search_tree_delete_min.23" expl="assertion" proved="true">
   <proof prover="6"><result status="valid" time="0.02" steps="88"/></proof>
diff --git a/examples/verifythis_fm2012_treedel/why3shapes.gz b/examples/verifythis_fm2012_treedel/why3shapes.gz
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diff --git a/examples/vstte10_aqueue/why3shapes.gz b/examples/vstte10_aqueue/why3shapes.gz
index 59cdab845fb20b2cad78166dcdcf4d8ccfaaad0f..d7aa9960f8ad9ff371b9661a9103b4b4a46812e5 100644
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diff --git a/examples/vstte10_inverting/why3shapes.gz b/examples/vstte10_inverting/why3shapes.gz
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GIT binary patch
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diff --git a/examples/vstte10_max_sum/why3shapes.gz b/examples/vstte10_max_sum/why3shapes.gz
index 550537d73d5a3f345efb2f92e38c5ef650d258ae..b21abe6abc6fae602c0f17411e7b896c9e8fc523 100644
GIT binary patch
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diff --git a/examples/vstte10_queens/why3shapes.gz b/examples/vstte10_queens/why3shapes.gz
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diff --git a/examples/vstte10_search_list/why3shapes.gz b/examples/vstte10_search_list/why3shapes.gz
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diff --git a/examples/vstte12_bfs/why3shapes.gz b/examples/vstte12_bfs/why3shapes.gz
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diff --git a/examples/vstte12_ring_buffer/why3session.xml b/examples/vstte12_ring_buffer/why3session.xml
index d8cc10aeaa..f5987c2d63 100644
--- a/examples/vstte12_ring_buffer/why3session.xml
+++ b/examples/vstte12_ring_buffer/why3session.xml
@@ -146,7 +146,7 @@
  <proof prover="3"><result status="valid" time="0.18"/></proof>
  </goal>
  <goal name="VC harness2" expl="VC for harness2" proved="true">
- <proof prover="2" timelimit="10"><result status="valid" time="0.90"/></proof>
+ <proof prover="2" timelimit="10"><result status="valid" time="0.51"/></proof>
  </goal>
  <goal name="VC test" expl="VC for test" proved="true">
  <proof prover="2"><result status="valid" time="0.23"/></proof>
diff --git a/examples/vstte12_ring_buffer/why3shapes.gz b/examples/vstte12_ring_buffer/why3shapes.gz
index cb33e5024593ca8ef260ee3d6b42d5b9c60bee05..0fe69534781b5f251707e7d497cfd9f8f673f0be 100644
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diff --git a/examples/vstte12_two_way_sort/why3shapes.gz b/examples/vstte12_two_way_sort/why3shapes.gz
index d4a77cb16cf4f3174698028d3c3c2c018e9b64e4..5f62a822792a0ac63970a237880068dfbafc6e1a 100644
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diff --git a/examples/warshall_algorithm/why3shapes.gz b/examples/warshall_algorithm/why3shapes.gz
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diff --git a/examples/white_and_black_balls/why3shapes.gz b/examples/white_and_black_balls/why3shapes.gz
index b4aa54318b29c861b1a687da4b09a4846ecf7ec0..bd172b022fafe1d73c6c49359e9ce8e21fe738bf 100644
GIT binary patch
literal 276
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diff --git a/examples/zeros/why3shapes.gz b/examples/zeros/why3shapes.gz
index 20f33b0915c03c374503c8d04cca85ecb4088a12..f6b9fb5930aafd70b5fbeb625cff227f2bee6e66 100644
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-- 
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