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Commit 8d3f825a authored by Jean-Christophe Filliâtre's avatar Jean-Christophe Filliâtre
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no need for lemma fib_pos

parent fc9137e8
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examples/fibonacci.mlw
View file @ 8d3f825a
......@@ -92,6 +92,7 @@ module SmallestFibAbove
let b = ref 1 in
while !b <= x do
invariant { exists k: int. 0 <= k /\ !a = fib k <= x /\ !b = fib (k+1) }
invariant { 0 <= !a /\ 1 <= !b }
variant { 2*x - (!a + !b) }
let f = !a + !b in
a := !b;
......
examples/fibonacci/why3session.xml
View file @ 8d3f825a
......@@ -55,7 +55,7 @@
name="isfib_2_1"
locfile="../fibonacci.mlw"
loclnum="6" loccnumb="8" loccnume="17"
sum="925a4ee99401641fc90c3f54afbfcd23"
sum="15aab3978bc62f481e12635752c9bc36"
proved="true"
expanded="false"
shape="ainfix =afibc2c1">
......@@ -72,7 +72,7 @@
name="isfib_6_8"
locfile="../fibonacci.mlw"
loclnum="7" loccnumb="8" loccnume="17"
sum="687cb7ce6b0d102f14a35a6eb228bedb"
sum="dfb0ce3fd8b846f274e9692059e947b8"
proved="true"
expanded="false"
shape="ainfix =afibc6c8">
......@@ -89,7 +89,7 @@
name="not_isfib_2_2"
locfile="../fibonacci.mlw"
loclnum="9" loccnumb="8" loccnume="21"
sum="93d096d7fc047e0c8a12f90c2cfb562b"
sum="e3d5312d3d038b8ee04543dcda0ea242"
proved="true"
expanded="false"
shape="Nainfix =afibc2c2">
......@@ -146,7 +146,7 @@
locfile="../fibonacci.mlw"
loclnum="19" loccnumb="6" loccnume="9"
expl="VC for fib"
sum="cd7b580ac0e3942c73b2773e8938cf87"
sum="c33a40a92865042be99b0ff3d2abfc60"
proved="true"
expanded="false"
shape="ainfix =afibV0V3Iainfix =afibainfix +V1c1V3Aainfix =afibainfix +ainfix +V1c1c1V2Aainfix &lt;=ainfix +V1c1V0Aainfix &lt;=c0ainfix +V1c1Aainfix =afibainfix +V4c1V5Aainfix =afibainfix +ainfix +V4c1c1V6Aainfix &lt;=ainfix +V4c1V0Aainfix &lt;=c0ainfix +V4c1Iainfix =V6ainfix +V2V3FIainfix =V5V2FIainfix =afibV4V3Aainfix =afibainfix +V4c1V2Aainfix &lt;=V4V0Aainfix &lt;=c0V4Iainfix &lt;=V4V1Aainfix &lt;=c0V4FFAainfix =afibc0c0Aainfix =afibainfix +c0c1c1Aainfix &lt;=c0V0Aainfix &lt;=c0c0Iainfix &lt;=c0V1Aainfix =afibV0c0Iainfix &gt;c0V1Lainfix -V0c1Iainfix &gt;=V0c0F">
......@@ -175,7 +175,7 @@
locfile="../fibonacci.mlw"
loclnum="39" loccnumb="10" loccnume="17"
expl="VC for fib_aux"
sum="272e2024e8aae95e4a86112c0efd9d04"
sum="fa0648e548246a24e329cc43cbc2dd79"
proved="true"
expanded="false"
shape="iainfix =afibainfix +V5V4afibainfix +V0V3Aainfix =ainfix +V1V2afibainfix +V5c1Aainfix =V2afibV5Aainfix &lt;=c0V5Aainfix &gt;=V4c0Aainfix &lt;V4V3Aainfix &lt;=c0V3Lainfix +V0c1Lainfix -V3c1ainfix =V1afibainfix +V0V3ainfix =V3c0Iainfix =V2afibainfix +V0c1Aainfix =V1afibV0Aainfix &lt;=c0V0Aainfix &gt;=V3c0F">
......@@ -190,7 +190,7 @@
locfile="../fibonacci.mlw"
loclnum="39" loccnumb="10" loccnume="17"
expl="1. postcondition"
sum="b85ace9c2b3cd3973aa0fdacc2b7f08f"
sum="00fd0627e82b0aba30173f5aa459ecfe"
proved="true"
expanded="false"
shape="postconditionainfix =V1afibainfix +V0V3Iainfix =V3c0Iainfix =V2afibainfix +V0c1Aainfix =V1afibV0Aainfix &lt;=c0V0Aainfix &gt;=V3c0F">
......@@ -234,7 +234,7 @@
locfile="../fibonacci.mlw"
loclnum="39" loccnumb="10" loccnume="17"
expl="2. variant decrease"
sum="8d96dc79ae0f21266697da79fe040ea4"
sum="cc6362fe1bd185bb34d04a9aecc0e420"
proved="true"
expanded="false"
shape="variant decreaseainfix &lt;V4V3Aainfix &lt;=c0V3Lainfix +V0c1Lainfix -V3c1INainfix =V3c0Iainfix =V2afibainfix +V0c1Aainfix =V1afibV0Aainfix &lt;=c0V0Aainfix &gt;=V3c0F">
......@@ -278,7 +278,7 @@
locfile="../fibonacci.mlw"
loclnum="39" loccnumb="10" loccnume="17"
expl="3. precondition"
sum="859f6fe6cd7a13133c50b262a8ce7284"
sum="99f1517a0e3c2ad76a5c9cf01ab1b4f9"
proved="true"
expanded="false"
shape="preconditionainfix &gt;=V4c0Lainfix +V0c1Lainfix -V3c1INainfix =V3c0Iainfix =V2afibainfix +V0c1Aainfix =V1afibV0Aainfix &lt;=c0V0Aainfix &gt;=V3c0F">
......@@ -322,7 +322,7 @@
locfile="../fibonacci.mlw"
loclnum="39" loccnumb="10" loccnume="17"
expl="4. precondition"
sum="4a93bf4100d75ebb841c3098a7f61657"
sum="17d4faa3db0b651e60c6bda7441b0fe6"
proved="true"
expanded="false"
shape="preconditionainfix =ainfix +V1V2afibainfix +V5c1Aainfix =V2afibV5Aainfix &lt;=c0V5Lainfix +V0c1Lainfix -V3c1INainfix =V3c0Iainfix =V2afibainfix +V0c1Aainfix =V1afibV0Aainfix &lt;=c0V0Aainfix &gt;=V3c0F">
......@@ -358,7 +358,7 @@
locfile="../fibonacci.mlw"
loclnum="39" loccnumb="10" loccnume="17"
expl="5. postcondition"
sum="b77f1237c49e5c8d38d4a360056ef4a5"
sum="46b8a38fcab44f0e75405ae1479315a7"
proved="true"
expanded="false"
shape="postconditionainfix =afibainfix +V5V4afibainfix +V0V3Iainfix =ainfix +V1V2afibainfix +V5c1Aainfix =V2afibV5Aainfix &lt;=c0V5Aainfix &gt;=V4c0Lainfix +V0c1Lainfix -V3c1INainfix =V3c0Iainfix =V2afibainfix +V0c1Aainfix =V1afibV0Aainfix &lt;=c0V0Aainfix &gt;=V3c0F">
......@@ -404,7 +404,7 @@
locfile="../fibonacci.mlw"
loclnum="46" loccnumb="6" loccnume="9"
expl="VC for fib"
sum="f85d4d44b9fd1b214503cea742dadaf0"
sum="02ca6fb4801985c3dcfbb97275bc862d"
proved="true"
expanded="false"
shape="ainfix =afibainfix +c0V0afibV0Aainfix =c1afibainfix +c0c1Aainfix =c0afibc0Aainfix &lt;=c0c0Aainfix &gt;=V0c0Iainfix &lt;=c0V0F">
......@@ -419,7 +419,7 @@
locfile="../fibonacci.mlw"
loclnum="46" loccnumb="6" loccnume="9"
expl="1. precondition"
sum="3592f1e391215230a16f7928872ba060"
sum="e17a273bc9ac73440011c4f7bfb0dccc"
proved="true"
expanded="false"
shape="preconditionainfix &gt;=V0c0Iainfix &lt;=c0V0F">
......@@ -463,7 +463,7 @@
locfile="../fibonacci.mlw"
loclnum="46" loccnumb="6" loccnume="9"
expl="2. precondition"
sum="3a29ac7c64eb28935b1546bee89644d5"
sum="48df7d6eecd66772f30be09340b2c6ae"
proved="true"
expanded="false"
shape="preconditionainfix =c1afibainfix +c0c1Aainfix =c0afibc0Aainfix &lt;=c0c0Iainfix &lt;=c0V0F">
......@@ -507,7 +507,7 @@
locfile="../fibonacci.mlw"
loclnum="46" loccnumb="6" loccnume="9"
expl="3. postcondition"
sum="a633953ae1d666d03167c8dbdd6799e6"
sum="96743058293856fce1e97c3d9e6257c2"
proved="true"
expanded="false"
shape="postconditionainfix =afibainfix +c0V0afibV0Iainfix =c1afibainfix +c0c1Aainfix =c0afibc0Aainfix &lt;=c0c0Aainfix &gt;=V0c0Iainfix &lt;=c0V0F">
......@@ -553,7 +553,7 @@
locfile="../fibonacci.mlw"
loclnum="51" loccnumb="6" loccnume="12"
expl="VC for test42"
sum="720c76753dddd68ce68dc352b585d907"
sum="5e16391cd28cc4d718e7ebebb7c1fca2"
proved="true"
expanded="false"
shape="ainfix &lt;=c0c42">
......@@ -597,7 +597,7 @@
locfile="../fibonacci.mlw"
loclnum="55" loccnumb="6" loccnume="11"
expl="VC for bench"
sum="a472128007cc714bfd3482c74977d967"
sum="98619003152866c935bb2d4fb96d19f7"
proved="true"
expanded="false"
shape="t">
......@@ -650,7 +650,7 @@
locfile="../fibonacci.mlw"
loclnum="65" loccnumb="10" loccnume="17"
expl="VC for fib_aux"
sum="6ebc27998f220384c406a6c4a2c8dabb"
sum="abad0fc6a6c557f10d7cd32e86dc689d"
proved="true"
expanded="false"
shape="iainfix =V5afibainfix +V6V2Iainfix =V1afibainfix +V6c1Aainfix =V0afibV6Aainfix &lt;=c0V6FIainfix =V5afibainfix +V7V3Iainfix =V4afibainfix +V7c1Aainfix =V1afibV7Aainfix &lt;=c0V7FFAainfix =V4afibainfix +V8c1Aainfix =V1afibV8Aainfix &lt;=c0V8EAainfix &gt;=V3c0Aainfix &lt;V3V2Aainfix &lt;=c0V2Lainfix +V0V1Lainfix -V2c1ainfix =V0afibainfix +V9V2Iainfix =V1afibainfix +V9c1Aainfix =V0afibV9Aainfix &lt;=c0V9Fainfix =V2c0Iainfix =V1afibainfix +V10c1Aainfix =V0afibV10Aainfix &lt;=c0V10EAainfix &gt;=V2c0F">
......@@ -665,7 +665,7 @@
locfile="../fibonacci.mlw"
loclnum="65" loccnumb="10" loccnume="17"
expl="1. postcondition"
sum="c94bbd87b12a9670f9a8022e9a42a607"
sum="b05783f4cde7e81581259b310f016e21"
proved="true"
expanded="false"
shape="postconditionainfix =V0afibainfix +V3V2Iainfix =V1afibainfix +V3c1Aainfix =V0afibV3Aainfix &lt;=c0V3FIainfix =V2c0Iainfix =V1afibainfix +V4c1Aainfix =V0afibV4Aainfix &lt;=c0V4EAainfix &gt;=V2c0F">
......@@ -701,7 +701,7 @@
locfile="../fibonacci.mlw"
loclnum="65" loccnumb="10" loccnume="17"
expl="2. variant decrease"
sum="a69504a90c7fba606bc92b55126134db"
sum="fb33f040923d503761f1ac8dd546f5f6"
proved="true"
expanded="false"
shape="variant decreaseainfix &lt;V3V2Aainfix &lt;=c0V2Lainfix +V0V1Lainfix -V2c1INainfix =V2c0Iainfix =V1afibainfix +V5c1Aainfix =V0afibV5Aainfix &lt;=c0V5EAainfix &gt;=V2c0F">
......@@ -737,7 +737,7 @@
locfile="../fibonacci.mlw"
loclnum="65" loccnumb="10" loccnume="17"
expl="3. precondition"
sum="949ee5fd8a3f213a0f3a0070458363cc"
sum="d9536ff5ddafb7d15d52eb86bd12197a"
proved="true"
expanded="false"
shape="preconditionainfix &gt;=V3c0Lainfix +V0V1Lainfix -V2c1INainfix =V2c0Iainfix =V1afibainfix +V5c1Aainfix =V0afibV5Aainfix &lt;=c0V5EAainfix &gt;=V2c0F">
......@@ -773,7 +773,7 @@
locfile="../fibonacci.mlw"
loclnum="65" loccnumb="10" loccnume="17"
expl="4. precondition"
sum="12d009a04d1f03eb37f2afbbf79571d4"
sum="c0ce52b40ff9e1f4732ac54dd461baff"
proved="true"
expanded="false"
shape="preconditionainfix =V4afibainfix +V5c1Aainfix =V1afibV5Aainfix &lt;=c0V5ELainfix +V0V1Lainfix -V2c1INainfix =V2c0Iainfix =V1afibainfix +V6c1Aainfix =V0afibV6Aainfix &lt;=c0V6EAainfix &gt;=V2c0F">
......@@ -809,7 +809,7 @@
locfile="../fibonacci.mlw"
loclnum="65" loccnumb="10" loccnume="17"
expl="5. postcondition"
sum="27a6748beaf6886f15113529a464619c"
sum="ff1ab0dd98aa0b297144ad03625a66b1"
proved="true"
expanded="false"
shape="postconditionainfix =V5afibainfix +V6V2Iainfix =V1afibainfix +V6c1Aainfix =V0afibV6Aainfix &lt;=c0V6FIainfix =V5afibainfix +V7V3Iainfix =V4afibainfix +V7c1Aainfix =V1afibV7Aainfix &lt;=c0V7FFIainfix =V4afibainfix +V8c1Aainfix =V1afibV8Aainfix &lt;=c0V8EAainfix &gt;=V3c0Lainfix +V0V1Lainfix -V2c1INainfix =V2c0Iainfix =V1afibainfix +V9c1Aainfix =V0afibV9Aainfix &lt;=c0V9EAainfix &gt;=V2c0F">
......@@ -847,7 +847,7 @@
locfile="../fibonacci.mlw"
loclnum="73" loccnumb="6" loccnume="9"
expl="VC for fib"
sum="6c6973b71b2d5bff61e0c885ce5029b8"
sum="fc98a2f8a69c57ab706329a0a35ffad1"
proved="true"
expanded="false"
shape="ainfix =V1afibV0Iainfix =V1afibainfix +V2V0Iainfix =c1afibainfix +V2c1Aainfix =c0afibV2Aainfix &lt;=c0V2FFAainfix =c1afibainfix +V3c1Aainfix =c0afibV3Aainfix &lt;=c0V3EAainfix &gt;=V0c0Iainfix &lt;=c0V0F">
......@@ -862,7 +862,7 @@
locfile="../fibonacci.mlw"
loclnum="73" loccnumb="6" loccnume="9"
expl="1. precondition"
sum="3592f1e391215230a16f7928872ba060"
sum="e17a273bc9ac73440011c4f7bfb0dccc"
proved="true"
expanded="false"
shape="preconditionainfix &gt;=V0c0Iainfix &lt;=c0V0F">
......@@ -898,7 +898,7 @@
locfile="../fibonacci.mlw"
loclnum="73" loccnumb="6" loccnume="9"
expl="2. precondition"
sum="aa3447bedb5e904d052ee8d5dfabcfb7"
sum="9ce4e6725a3871813a57389b515de01e"
proved="true"
expanded="false"
shape="preconditionainfix =c1afibainfix +V1c1Aainfix =c0afibV1Aainfix &lt;=c0V1EIainfix &lt;=c0V0F">
......@@ -934,7 +934,7 @@
locfile="../fibonacci.mlw"
loclnum="73" loccnumb="6" loccnume="9"
expl="3. postcondition"
sum="98b74ea661c0935fe544dd409c2a5b67"
sum="c7a286f86f334aa5518b7efcffd82835"
proved="true"
expanded="false"
shape="postconditionainfix =V1afibV0Iainfix =V1afibainfix +V2V0Iainfix =c1afibainfix +V2c1Aainfix =c0afibV2Aainfix &lt;=c0V2FFIainfix =c1afibainfix +V3c1Aainfix =c0afibV3Aainfix &lt;=c0V3EAainfix &gt;=V0c0Iainfix &lt;=c0V0F">
......@@ -973,16 +973,16 @@
locfile="../fibonacci.mlw"
loclnum="80" loccnumb="7" loccnume="23"
verified="true"
expanded="false">
expanded="true">
<goal
name="WP_parameter smallest_fib_above"
locfile="../fibonacci.mlw"
loclnum="87" loccnumb="6" loccnume="24"
expl="VC for smallest_fib_above"
sum="2cb037e236a8b011db9f700e744e18ce"
sum="c69813f51ecfc06184cca298b1f8cdf8"
proved="true"
expanded="false"
shape="iainfix =afibainfix +V3c1V1Aainfix &lt;V0afibainfix +V3c1Aainfix &lt;=afibV3V0Aainfix &lt;=c0V3Eainfix &lt;ainfix -ainfix *c2V0ainfix +V4V5ainfix -ainfix *c2V0ainfix +V2V1Aainfix &lt;=c0ainfix -ainfix *c2V0ainfix +V2V1Aainfix =V5afibainfix +V6c1Aainfix &lt;=afibV6V0Aainfix =V4afibV6Aainfix &lt;=c0V6EIainfix =V5ainfix +V2V1FIainfix =V4V1Fainfix &lt;=V1V0Iainfix =V1afibainfix +V7c1Aainfix &lt;=afibV7V0Aainfix =V2afibV7Aainfix &lt;=c0V7EFAainfix =c1afibainfix +V8c1Aainfix &lt;=afibV8V0Aainfix =c0afibV8Aainfix &lt;=c0V8EIainfix &lt;=c0V0F">
expanded="true"
shape="iainfix =afibainfix +V3c1V1Aainfix &lt;V0afibainfix +V3c1Aainfix &lt;=afibV3V0Aainfix &lt;=c0V3Eainfix &lt;ainfix -ainfix *c2V0ainfix +V4V5ainfix -ainfix *c2V0ainfix +V2V1Aainfix &lt;=c0ainfix -ainfix *c2V0ainfix +V2V1Aainfix &lt;=c1V5Aainfix &lt;=c0V4Aainfix =V5afibainfix +V6c1Aainfix &lt;=afibV6V0Aainfix =V4afibV6Aainfix &lt;=c0V6EIainfix =V5ainfix +V2V1FIainfix =V4V1Fainfix &lt;=V1V0Iainfix &lt;=c1V1Aainfix &lt;=c0V2Aainfix =V1afibainfix +V7c1Aainfix &lt;=afibV7V0Aainfix =V2afibV7Aainfix &lt;=c0V7EFAainfix &lt;=c1c1Aainfix &lt;=c0c0Aainfix =c1afibainfix +V8c1Aainfix &lt;=afibV8V0Aainfix =c0afibV8Aainfix &lt;=c0V8EIainfix &lt;=c0V0F">
<label
name="expl:VC for smallest_fib_above"/>
<proof
......@@ -998,7 +998,7 @@
<theory
name="Mat22"
locfile="../fibonacci.mlw"
loclnum="104" loccnumb="7" loccnume="12"
loclnum="105" loccnumb="7" loccnume="12"
verified="true"
expanded="true">
<label
......@@ -1007,15 +1007,15 @@
<theory
name="FibonacciLogarithmic"
locfile="../fibonacci.mlw"
loclnum="126" loccnumb="7" loccnume="27"
loclnum="127" loccnumb="7" loccnume="27"
verified="true"
expanded="false">
expanded="true">
<goal
name="WP_parameter logfib"
locfile="../fibonacci.mlw"
loclnum="140" loccnumb="10" loccnume="16"
loclnum="141" loccnumb="10" loccnume="16"
expl="VC for logfib"
sum="126e157d6837d90d7ca1d2c39fc15946"
sum="d4dd7dccf6c1b8fab720f436a541a77a"
proved="true"
expanded="false"
shape="iiainfix =apoweramk tc1c1c1c0V0amk tainfix +V5V6V6V6V5Lainfix +ainfix *V4V4ainfix *V3V3Lainfix *V3ainfix +V2V4ainfix =apoweramk tc1c1c1c0V0amk tainfix +V7V8V8V8V7Lainfix *V3ainfix +V2V4Lainfix +ainfix *V2V2ainfix *V3V3ainfix =amodV0c2c0Lainfix +V2V3Iainfix =apoweramk tc1c1c1c0V1amk tainfix +V2V3V3V3V2FAainfix &gt;=V1c0Aainfix &lt;V1V0Aainfix &lt;=c0V0LadivV0c2ainfix =apoweramk tc1c1c1c0V0amk tainfix +c1c0c0c0c1ainfix =V0c0Iainfix &gt;=V0c0F">
......@@ -1028,9 +1028,9 @@
<goal
name="WP_parameter logfib.1"
locfile="../fibonacci.mlw"
loclnum="140" loccnumb="10" loccnume="16"
loclnum="141" loccnumb="10" loccnume="16"
expl="1. postcondition"
sum="d9e2058f51f7f70b0fc5f3651c3011d5"
sum="69cb2f091b3a66334b2aacb49a0456e5"
proved="true"
expanded="false"
shape="postconditionainfix =apoweramk tc1c1c1c0V0amk tainfix +c1c0c0c0c1Iainfix =V0c0Iainfix &gt;=V0c0F">
......@@ -1072,9 +1072,9 @@
<goal
name="WP_parameter logfib.2"
locfile="../fibonacci.mlw"
loclnum="140" loccnumb="10" loccnume="16"
loclnum="141" loccnumb="10" loccnume="16"
expl="2. variant decrease"
sum="7b4751224a113953fa682886e588ff21"
sum="a6278a43b357e52386379de92b22d9c4"
proved="true"
expanded="false"
shape="variant decreaseainfix &lt;V1V0Aainfix &lt;=c0V0LadivV0c2INainfix =V0c0Iainfix &gt;=V0c0F">
......@@ -1092,9 +1092,9 @@
<goal
name="WP_parameter logfib.3"
locfile="../fibonacci.mlw"
loclnum="140" loccnumb="10" loccnume="16"
loclnum="141" loccnumb="10" loccnume="16"
expl="3. precondition"
sum="9be9870b5f37ba23b1ccf49bf6cb01d3"
sum="3f33fa6a056926fc563ba658c8f13f22"
proved="true"
expanded="false"
shape="preconditionainfix &gt;=V1c0LadivV0c2INainfix =V0c0Iainfix &gt;=V0c0F">
......@@ -1120,9 +1120,9 @@
<goal
name="WP_parameter logfib.4"
locfile="../fibonacci.mlw"
loclnum="140" loccnumb="10" loccnume="16"
loclnum="141" loccnumb="10" loccnume="16"
expl="4. postcondition"
sum="972281e314038bd2c3ef9b4ed4f6be0d"
sum="7b7a848fd3c85b5823edf5084297bfd1"
proved="true"
expanded="false"
shape="postconditioniainfix =apoweramk tc1c1c1c0V0amk tainfix +V5V6V6V6V5Lainfix +ainfix *V4V4ainfix *V3V3Lainfix *V3ainfix +V2V4ainfix =apoweramk tc1c1c1c0V0amk tainfix +V7V8V8V8V7Lainfix *V3ainfix +V2V4Lainfix +ainfix *V2V2ainfix *V3V3ainfix =amodV0c2c0Lainfix +V2V3Iainfix =apoweramk tc1c1c1c0V1amk tainfix +V2V3V3V3V2FIainfix &gt;=V1c0LadivV0c2INainfix =V0c0Iainfix &gt;=V0c0F">
......@@ -1143,8 +1143,8 @@
<goal
name="fib_m"
locfile="../fibonacci.mlw"
loclnum="163" loccnumb="8" loccnume="13"
sum="f6032cadecf01184ee3b2499de34fbc1"
loclnum="164" loccnumb="8" loccnume="13"
sum="f4108c167ac378dc0bb2fbb56847e071"
proved="true"
expanded="false"
shape="ainfix =afibV0aa21V1Aainfix =afibainfix +V0c1aa11V1Lapoweram1110V0Iainfix &gt;=V0c0F">
......@@ -1161,9 +1161,9 @@
<goal
name="WP_parameter fibo"
locfile="../fibonacci.mlw"
loclnum="167" loccnumb="6" loccnume="10"
loclnum="168" loccnumb="6" loccnume="10"
expl="VC for fibo"
sum="08212151ec4ab46d1c07ec046dfc7de0"
sum="38ae29d3fc4fbfcdd946e1d92ff141b8"
proved="true"
expanded="false"
shape="ainfix =V2afibV0Iainfix =apoweramk tc1c1c1c0V0amk tainfix +V1V2V2V2V1FAainfix &gt;=V0c0Iainfix &gt;=V0c0F">
......@@ -1189,9 +1189,9 @@
<goal
name="WP_parameter test0"
locfile="../fibonacci.mlw"
loclnum="171" loccnumb="6" loccnume="11"
loclnum="172" loccnumb="6" loccnume="11"
expl="VC for test0"
sum="871d321a0b6eb51904e5888f00f72a33"
sum="2ed01e39d6b5ac51495153ba59fe47f4"
proved="true"
expanded="false"
shape="ainfix &gt;=c0c0">
......@@ -1209,9 +1209,9 @@
<goal
name="WP_parameter test1"
locfile="../fibonacci.mlw"
loclnum="172" loccnumb="6" loccnume="11"
loclnum="173" loccnumb="6" loccnume="11"
expl="VC for test1"
sum="aa46903e4241a077651250a270473944"
sum="4e6f91b5630b53961359e65fde7720bc"
proved="true"
expanded="false"
shape="ainfix &gt;=c1c0">
......@@ -1229,9 +1229,9 @@
<goal
name="WP_parameter test7"
locfile="../fibonacci.mlw"
loclnum="173" loccnumb="6" loccnume="11"
loclnum="174" loccnumb="6" loccnume="11"
expl="VC for test7"
sum="aee08caf7b139c07463c881b594077ad"
sum="39498e0eca6c3664c87cab69c3a69a21"
proved="true"
expanded="false"
shape="ainfix &gt;=c7c0">
......@@ -1249,9 +1249,9 @@
<goal
name="WP_parameter test42"
locfile="../fibonacci.mlw"
loclnum="174" loccnumb="6" loccnume="12"
loclnum="175" loccnumb="6" loccnume="12"
expl="VC for test42"
sum="727974886ff9abcb6113ade884abae06"
sum="6537eb059d9e6f5fd0a3502e6095fb1f"
proved="true"
expanded="false"
shape="ainfix &gt;=c42c0">
......@@ -1269,9 +1269,9 @@
<goal
name="WP_parameter test2014"
locfile="../fibonacci.mlw"
loclnum="175" loccnumb="6" loccnume="14"
loclnum="176" loccnumb="6" loccnume="14"
expl="VC for test2014"
sum="e3895118f379de77828e2174243976ec"
sum="12ce06848394595336f904d4128638aa"
proved="true"
expanded="false"
shape="ainfix &gt;=c2014c0">
......@@ -1289,9 +1289,9 @@
<goal
name="WP_parameter bench"
locfile="../fibonacci.mlw"
loclnum="179" loccnumb="6" loccnume="11"
loclnum="180" loccnumb="6" loccnume="11"
expl="VC for bench"
sum="f5b8f6a19ad2d36e59f8d163bac3b989"
sum="822f4dbc4c001f31f7a546c376f270a7"
proved="true"
expanded="false"
shape="t">
......
theories/int.why
View file @ 8d3f825a
......@@ -461,7 +461,5 @@ theory Fibonacci "Fibonacci numbers"
axiom fib1: fib 1 = 1
axiom fibn: forall n:int. n >= 2 -> fib n = fib (n-1) + fib (n-2)
lemma fib_pos: forall i: int. 1 <= i -> 0 < fib i
end
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