TSTP Solution File: SWW573_2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW573_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:50:46 EDT 2023
% Result : Theorem 85.43s 11.96s
% Output : Proof 87.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWW573_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.08 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.09/0.27 % Computer : n016.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Sun Aug 27 23:34:29 EDT 2023
% 0.09/0.27 % CPUTime :
% 0.12/0.53 ________ _____
% 0.12/0.53 ___ __ \_________(_)________________________________
% 0.12/0.53 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.12/0.53 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.12/0.53 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.12/0.53
% 0.12/0.53 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.12/0.53 (2023-06-19)
% 0.12/0.53
% 0.12/0.53 (c) Philipp Rümmer, 2009-2023
% 0.12/0.53 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.12/0.53 Amanda Stjerna.
% 0.12/0.53 Free software under BSD-3-Clause.
% 0.12/0.53
% 0.12/0.53 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.12/0.53
% 0.12/0.53 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.12/0.55 Running up to 7 provers in parallel.
% 0.12/0.56 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.12/0.56 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.12/0.56 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.12/0.56 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.12/0.56 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.12/0.56 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.12/0.56 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.11/1.46 Prover 1: Preprocessing ...
% 5.11/1.46 Prover 2: Preprocessing ...
% 5.11/1.46 Prover 5: Preprocessing ...
% 5.11/1.47 Prover 6: Preprocessing ...
% 5.11/1.47 Prover 3: Preprocessing ...
% 5.11/1.47 Prover 0: Preprocessing ...
% 5.11/1.49 Prover 4: Preprocessing ...
% 14.96/2.69 Prover 1: Warning: ignoring some quantifiers
% 15.20/2.74 Prover 4: Warning: ignoring some quantifiers
% 15.20/2.76 Prover 3: Warning: ignoring some quantifiers
% 15.20/2.76 Prover 6: Proving ...
% 15.20/2.77 Prover 1: Constructing countermodel ...
% 15.20/2.79 Prover 3: Constructing countermodel ...
% 15.20/2.82 Prover 4: Constructing countermodel ...
% 15.94/2.88 Prover 0: Proving ...
% 16.77/3.00 Prover 5: Proving ...
% 18.43/3.18 Prover 2: Proving ...
% 20.72/3.49 Prover 3: gave up
% 20.72/3.51 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 21.86/3.69 Prover 7: Preprocessing ...
% 22.56/3.73 Prover 1: gave up
% 22.56/3.75 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 24.04/3.92 Prover 8: Preprocessing ...
% 25.59/4.14 Prover 7: Warning: ignoring some quantifiers
% 26.38/4.20 Prover 8: Warning: ignoring some quantifiers
% 26.38/4.21 Prover 7: Constructing countermodel ...
% 26.38/4.23 Prover 8: Constructing countermodel ...
% 31.68/4.92 Prover 8: gave up
% 31.68/4.93 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 32.79/5.05 Prover 9: Preprocessing ...
% 35.84/5.45 Prover 9: Warning: ignoring some quantifiers
% 35.84/5.48 Prover 9: Constructing countermodel ...
% 57.09/8.24 Prover 2: stopped
% 57.48/8.25 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 59.08/8.45 Prover 10: Preprocessing ...
% 59.81/8.67 Prover 10: Warning: ignoring some quantifiers
% 60.46/8.69 Prover 10: Constructing countermodel ...
% 84.39/11.82 Prover 4: Found proof (size 672)
% 84.39/11.82 Prover 4: proved (11267ms)
% 84.39/11.82 Prover 9: stopped
% 84.39/11.82 Prover 6: stopped
% 84.39/11.82 Prover 10: stopped
% 84.39/11.83 Prover 7: stopped
% 85.43/11.93 Prover 5: stopped
% 85.43/11.96 Prover 0: stopped
% 85.43/11.96
% 85.43/11.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 85.43/11.96
% 85.78/12.13 % SZS output start Proof for theBenchmark
% 85.78/12.14 Assumptions after simplification:
% 85.78/12.14 ---------------------------------
% 85.78/12.14
% 85.78/12.14 (array_eq_sub_def2)
% 85.78/12.16 ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : !
% 85.78/12.16 [v5: uni] : ! [v6: uni] : ! [v7: any] : ( ~ (map_eq_sub1(v0, v5, v6, v3, v4)
% 85.78/12.16 = v7) | ~ (elts(v0, v2) = v6) | ~ (elts(v0, v1) = v5) | ~ ty(v0) | ~
% 85.78/12.16 uni(v2) | ~ uni(v1) | ? [v8: any] : ? [v9: int] : ? [v10: int] :
% 85.78/12.16 (array_eq_sub1(v0, v1, v2, v3, v4) = v8 & length2(v0, v2) = v10 &
% 85.78/12.16 length2(v0, v1) = v9 & ( ~ (v8 = 0) | (v10 = v9 & v7 = 0 & $lesseq(v4, v9)
% 85.78/12.16 & $lesseq(v3, v9) & $lesseq(0, v4) & $lesseq(0, v3))))) & ! [v0: ty]
% 85.78/12.16 : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : ! [v5: uni] :
% 85.78/12.16 ! [v6: uni] : ( ~ ($lesseq(0, v4)) | ~ ($lesseq(0, v3)) | ~ (map_eq_sub1(v0,
% 85.78/12.16 v5, v6, v3, v4) = 0) | ~ (elts(v0, v2) = v6) | ~ (elts(v0, v1) = v5) |
% 85.78/12.16 ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v7: int] : ? [v8: int] : ? [v9:
% 85.78/12.16 any] : (array_eq_sub1(v0, v1, v2, v3, v4) = v9 & length2(v0, v2) = v8 &
% 85.78/12.16 length2(v0, v1) = v7 & ( ~ (v8 = v7) | v9 = 0 | ~ ($lesseq(v4, v7)) | ~
% 85.78/12.16 ($lesseq(v3, v7))))) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : !
% 85.78/12.16 [v3: int] : ! [v4: int] : ! [v5: int] : (v5 = 0 | ~ ($lesseq(0, v4)) | ~
% 85.78/12.16 ($lesseq(0, v3)) | ~ (array_eq_sub1(v0, v1, v2, v3, v4) = v5) | ~ ty(v0) |
% 85.78/12.16 ~ uni(v2) | ~ uni(v1) | ? [v6: int] : ? [v7: int] : ? [v8: uni] : ?
% 85.78/12.16 [v9: uni] : ? [v10: any] : (map_eq_sub1(v0, v8, v9, v3, v4) = v10 &
% 85.78/12.16 elts(v0, v2) = v9 & elts(v0, v1) = v8 & length2(v0, v2) = v7 & length2(v0,
% 85.78/12.16 v1) = v6 & uni(v9) & uni(v8) & ( ~ (v10 = 0) | ~ (v7 = v6) | ~
% 85.78/12.16 ($lesseq(v4, v6)) | ~ ($lesseq(v3, v6))))) & ! [v0: ty] : ! [v1: uni]
% 85.78/12.16 : ! [v2: uni] : ! [v3: int] : ! [v4: int] : ( ~ ($lesseq(v4, -1)) | ~
% 85.78/12.16 (array_eq_sub1(v0, v1, v2, v3, v4) = 0) | ~ ty(v0) | ~ uni(v2) | ~
% 85.78/12.16 uni(v1)) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : !
% 85.78/12.17 [v4: int] : ( ~ ($lesseq(v3, -1)) | ~ (array_eq_sub1(v0, v1, v2, v3, v4) = 0)
% 85.78/12.17 | ~ ty(v0) | ~ uni(v2) | ~ uni(v1)) & ! [v0: ty] : ! [v1: uni] : !
% 85.78/12.17 [v2: uni] : ! [v3: int] : ! [v4: int] : ( ~ (array_eq_sub1(v0, v1, v2, v3,
% 85.78/12.17 v4) = 0) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v5: int] : ? [v6:
% 85.78/12.17 uni] : ? [v7: uni] : ($lesseq(v4, v5) & $lesseq(v3, v5) & map_eq_sub1(v0,
% 85.78/12.17 v6, v7, v3, v4) = 0 & elts(v0, v2) = v7 & elts(v0, v1) = v6 &
% 85.78/12.17 length2(v0, v2) = v5 & length2(v0, v1) = v5 & uni(v7) & uni(v6)))
% 85.78/12.17
% 85.78/12.17 (array_inversion3)
% 86.00/12.17 ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ( ~ (elts(v0, v1) = v2) | ~
% 86.00/12.17 ty(v0) | ~ uni(v1) | ? [v3: int] : (length2(v0, v1) = v3 & mk_array2(v0,
% 86.00/12.17 v3, v2) = v1)) & ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ( ~
% 86.00/12.17 (length2(v0, v1) = v2) | ~ ty(v0) | ~ uni(v1) | ? [v3: uni] : (elts(v0,
% 86.00/12.17 v1) = v3 & mk_array2(v0, v2, v3) = v1 & uni(v3)))
% 86.00/12.17
% 86.00/12.17 (bridgeR)
% 86.00/12.17 ! [v0: uni] : ! [v1: map_int_int] : ( ~ (tb2t(v0) = v1) | ~ uni(v0) |
% 86.00/12.17 t2tb(v1) = v0)
% 86.00/12.17
% 86.00/12.17 (elts_def2)
% 86.00/12.17 ty(int) & ! [v0: int] : ! [v1: map_int_int] : ! [v2: array_int] : ( ~
% 86.00/12.17 (mk_array3(v0, v1) = v2) | ~ map_int_int(v1) | ? [v3: uni] : ? [v4: uni]
% 86.00/12.17 : (elts(int, v3) = v4 & t2tb2(v2) = v3 & tb2t(v4) = v1 & uni(v4) & uni(v3)))
% 86.00/12.17
% 86.00/12.17 (exchange_def4)
% 86.00/12.18 ty(int) & ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3:
% 86.00/12.18 int] : ! [v4: int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : ! [v8:
% 86.00/12.18 int] : ! [v9: int] : (v8 = v5 | v8 = v4 | ~ ($lesseq(1, $difference(v3,
% 86.00/12.18 v8))) | ~ ($lesseq(v2, v8)) | ~ (exchange2(int, v6, v7, v2, v3, v4,
% 86.00/12.18 v5) = 0) | ~ (get3(v1, v8) = v9) | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) =
% 86.00/12.18 v6) | ~ map_int_int(v1) | ~ map_int_int(v0) | get3(v0, v8) = v9) & !
% 86.00/12.18 [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3: int] : !
% 86.00/12.18 [v4: int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : ! [v8: int] : !
% 86.00/12.18 [v9: int] : (v8 = v5 | v8 = v4 | ~ ($lesseq(1, $difference(v3, v8))) | ~
% 86.00/12.18 ($lesseq(v2, v8)) | ~ (exchange2(int, v6, v7, v2, v3, v4, v5) = 0) | ~
% 86.00/12.18 (get3(v0, v8) = v9) | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) = v6) | ~
% 86.00/12.18 map_int_int(v1) | ~ map_int_int(v0) | get3(v1, v8) = v9) & ! [v0:
% 86.00/12.18 map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 86.00/12.18 int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : ! [v8: int] : (v8 = 0 |
% 86.00/12.18 ~ ($lesseq(1, $difference(v3, v5))) | ~ ($lesseq(v2, v5)) | ~ ($lesseq(1,
% 86.00/12.18 $difference(v3, v4))) | ~ ($lesseq(v2, v4)) | ~ (exchange2(int, v6,
% 86.00/12.18 v7, v2, v3, v4, v5) = v8) | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) = v6) | ~
% 86.00/12.18 map_int_int(v1) | ~ map_int_int(v0) | ? [v9: int] : ? [v10: int] : ?
% 86.00/12.18 [v11: int] : ? [v12: int] : (( ~ (v11 = v10) & ~ (v9 = v5) & ~ (v9 = v4)
% 86.00/12.18 & $lesseq(1, $difference(v3, v9)) & $lesseq(v2, v9) & get3(v1, v9) = v11
% 86.00/12.18 & get3(v0, v9) = v10) | (get3(v1, v5) = v10 & get3(v1, v4) = v12 &
% 86.00/12.18 get3(v0, v5) = v11 & get3(v0, v4) = v9 & ( ~ (v12 = v11) | ~ (v10 =
% 86.00/12.18 v9))))) & ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int]
% 86.00/12.18 : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : (
% 86.00/12.18 ~ ($lesseq(1, $difference(v2, v5))) | ~ (exchange2(int, v6, v7, v2, v3, v4,
% 86.00/12.18 v5) = 0) | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) = v6) | ~ map_int_int(v1)
% 86.00/12.18 | ~ map_int_int(v0)) & ! [v0: map_int_int] : ! [v1: map_int_int] : !
% 86.00/12.18 [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: uni] : !
% 86.00/12.18 [v7: uni] : ( ~ ($lesseq(v3, v5)) | ~ (exchange2(int, v6, v7, v2, v3, v4, v5)
% 86.00/12.18 = 0) | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) = v6) | ~ map_int_int(v1) | ~
% 86.00/12.18 map_int_int(v0)) & ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2:
% 86.00/12.18 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: uni] : ! [v7:
% 86.00/12.18 uni] : ( ~ ($lesseq(1, $difference(v2, v4))) | ~ (exchange2(int, v6, v7,
% 86.00/12.18 v2, v3, v4, v5) = 0) | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) = v6) | ~
% 86.00/12.18 map_int_int(v1) | ~ map_int_int(v0)) & ! [v0: map_int_int] : ! [v1:
% 86.00/12.18 map_int_int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 86.00/12.18 ! [v6: uni] : ! [v7: uni] : ( ~ ($lesseq(v3, v4)) | ~ (exchange2(int, v6,
% 86.00/12.18 v7, v2, v3, v4, v5) = 0) | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) = v6) | ~
% 86.00/12.18 map_int_int(v1) | ~ map_int_int(v0)) & ! [v0: map_int_int] : ! [v1:
% 86.00/12.18 map_int_int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 86.00/12.18 ! [v6: uni] : ! [v7: uni] : ( ~ (exchange2(int, v6, v7, v2, v3, v4, v5) = 0)
% 86.00/12.18 | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) = v6) | ~ map_int_int(v1) | ~
% 86.00/12.18 map_int_int(v0) | ? [v8: int] : ? [v9: int] : (get3(v1, v5) = v8 &
% 86.00/12.18 get3(v1, v4) = v9 & get3(v0, v5) = v9 & get3(v0, v4) = v8))
% 86.00/12.18
% 86.00/12.18 (exchange_def5)
% 86.00/12.19 ty(int) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4:
% 86.00/12.19 int] : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8: uni] : (v7 = v6
% 86.00/12.19 | v7 = v5 | ~ ($lesseq(1, $difference(v4, v7))) | ~ ($lesseq(v3, v7)) | ~
% 86.00/12.19 (exchange2(v0, v1, v2, v3, v4, v5, v6) = 0) | ~ (t2tb1(v7) = v8) | ~
% 86.00/12.19 ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v9: uni] : (get(v0, int, v2, v8) = v9
% 86.00/12.19 & get(v0, int, v1, v8) = v9 & uni(v9))) & ! [v0: ty] : ! [v1: uni] : !
% 86.00/12.19 [v2: uni] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : !
% 86.00/12.19 [v7: int] : (v7 = 0 | ~ ($lesseq(1, $difference(v4, v6))) | ~ ($lesseq(v3,
% 86.00/12.19 v6)) | ~ ($lesseq(1, $difference(v4, v5))) | ~ ($lesseq(v3, v5)) | ~
% 86.00/12.19 (exchange2(v0, v1, v2, v3, v4, v5, v6) = v7) | ~ ty(v0) | ~ uni(v2) | ~
% 86.00/12.19 uni(v1) | ? [v8: any] : ? [v9: uni] : ? [v10: uni] : ? [v11: uni] : ?
% 86.00/12.19 [v12: uni] : ? [v13: uni] : (( ~ (v11 = v10) & ~ (v8 = v6) & ~ (v8 = v5)
% 86.00/12.19 & $lesseq(1, $difference(v4, v8)) & $lesseq(v3, v8) & t2tb1(v8) = v9 &
% 86.00/12.19 get(v0, int, v2, v9) = v11 & get(v0, int, v1, v9) = v10 & uni(v11) &
% 86.00/12.19 uni(v10) & uni(v9)) | (t2tb1(v6) = v10 & t2tb1(v5) = v8 & get(v0, int,
% 86.00/12.19 v2, v10) = v11 & get(v0, int, v2, v8) = v13 & get(v0, int, v1, v10) =
% 86.00/12.19 v12 & get(v0, int, v1, v8) = v9 & uni(v13) & uni(v12) & uni(v11) &
% 86.00/12.19 uni(v10) & uni(v9) & uni(v8) & ( ~ (v13 = v12) | ~ (v11 = v9))))) & !
% 86.00/12.19 [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : ! [v5:
% 86.00/12.19 int] : ! [v6: int] : ( ~ ($lesseq(1, $difference(v3, v6))) | ~
% 86.00/12.19 (exchange2(v0, v1, v2, v3, v4, v5, v6) = 0) | ~ ty(v0) | ~ uni(v2) | ~
% 86.00/12.19 uni(v1)) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : !
% 86.00/12.19 [v4: int] : ! [v5: int] : ! [v6: int] : ( ~ ($lesseq(v4, v6)) | ~
% 86.00/12.19 (exchange2(v0, v1, v2, v3, v4, v5, v6) = 0) | ~ ty(v0) | ~ uni(v2) | ~
% 86.00/12.19 uni(v1)) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : !
% 86.00/12.19 [v4: int] : ! [v5: int] : ! [v6: int] : ( ~ ($lesseq(1, $difference(v3,
% 86.00/12.19 v5))) | ~ (exchange2(v0, v1, v2, v3, v4, v5, v6) = 0) | ~ ty(v0) |
% 86.00/12.19 ~ uni(v2) | ~ uni(v1)) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : !
% 86.00/12.19 [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : ( ~ ($lesseq(v4, v5))
% 86.00/12.19 | ~ (exchange2(v0, v1, v2, v3, v4, v5, v6) = 0) | ~ ty(v0) | ~ uni(v2) |
% 86.00/12.19 ~ uni(v1)) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : !
% 86.00/12.19 [v4: int] : ! [v5: int] : ! [v6: int] : ( ~ (exchange2(v0, v1, v2, v3, v4,
% 86.00/12.19 v5, v6) = 0) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v7: uni] : ?
% 86.00/12.19 [v8: uni] : ? [v9: uni] : ? [v10: uni] : (t2tb1(v6) = v9 & t2tb1(v5) = v7
% 86.00/12.19 & get(v0, int, v2, v9) = v8 & get(v0, int, v2, v7) = v10 & get(v0, int,
% 86.00/12.19 v1, v9) = v10 & get(v0, int, v1, v7) = v8 & uni(v10) & uni(v9) & uni(v8)
% 86.00/12.19 & uni(v7)))
% 86.00/12.19
% 86.00/12.19 (exchange_def6)
% 86.00/12.20 ty(int) & ! [v0: array_int] : ! [v1: array_int] : ! [v2: int] : ! [v3:
% 86.00/12.20 int] : ! [v4: uni] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : ! [v8:
% 86.00/12.20 uni] : ! [v9: any] : ( ~ (exchange2(int, v7, v8, 0, v5, v2, v3) = v9) | ~
% 86.00/12.20 (elts(int, v6) = v8) | ~ (elts(int, v4) = v7) | ~ (length2(int, v4) = v5)
% 86.00/12.20 | ~ (t2tb2(v1) = v6) | ~ (t2tb2(v0) = v4) | ~ array_int(v1) | ~
% 86.00/12.20 array_int(v0) | ? [v10: any] : ? [v11: int] : (exchange4(v0, v1, v2, v3) =
% 86.00/12.20 v10 & length2(int, v6) = v11 & ( ~ (v10 = 0) | (v11 = v5 & v9 = 0)))) & !
% 86.00/12.20 [v0: array_int] : ! [v1: array_int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 86.00/12.20 uni] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : ! [v8: uni] : ( ~
% 86.00/12.20 (exchange2(int, v7, v8, 0, v5, v2, v3) = 0) | ~ (elts(int, v6) = v8) | ~
% 86.00/12.20 (elts(int, v4) = v7) | ~ (length2(int, v4) = v5) | ~ (t2tb2(v1) = v6) | ~
% 86.00/12.20 (t2tb2(v0) = v4) | ~ array_int(v1) | ~ array_int(v0) | ? [v9: int] : ?
% 86.00/12.20 [v10: any] : (exchange4(v0, v1, v2, v3) = v10 & length2(int, v6) = v9 & ( ~
% 86.00/12.20 (v9 = v5) | v10 = 0))) & ! [v0: array_int] : ! [v1: array_int] : !
% 86.00/12.20 [v2: int] : ! [v3: int] : ! [v4: int] : (v4 = 0 | ~ (exchange4(v0, v1, v2,
% 86.00/12.20 v3) = v4) | ~ array_int(v1) | ~ array_int(v0) | ? [v5: uni] : ? [v6:
% 86.00/12.20 int] : ? [v7: uni] : ? [v8: int] : ? [v9: uni] : ? [v10: uni] : ?
% 86.00/12.20 [v11: any] : (exchange2(int, v9, v10, 0, v6, v2, v3) = v11 & elts(int, v7) =
% 86.00/12.20 v10 & elts(int, v5) = v9 & length2(int, v7) = v8 & length2(int, v5) = v6 &
% 86.00/12.20 t2tb2(v1) = v7 & t2tb2(v0) = v5 & uni(v10) & uni(v9) & uni(v7) & uni(v5) &
% 86.00/12.20 ( ~ (v11 = 0) | ~ (v8 = v6)))) & ! [v0: array_int] : ! [v1: array_int]
% 86.00/12.20 : ! [v2: int] : ! [v3: int] : ( ~ (exchange4(v0, v1, v2, v3) = 0) | ~
% 86.00/12.20 array_int(v1) | ~ array_int(v0) | ? [v4: uni] : ? [v5: int] : ? [v6:
% 86.00/12.20 uni] : ? [v7: uni] : ? [v8: uni] : (exchange2(int, v7, v8, 0, v5, v2,
% 86.00/12.20 v3) = 0 & elts(int, v6) = v8 & elts(int, v4) = v7 & length2(int, v6) =
% 86.00/12.20 v5 & length2(int, v4) = v5 & t2tb2(v1) = v6 & t2tb2(v0) = v4 & uni(v8) &
% 86.00/12.20 uni(v7) & uni(v6) & uni(v4)))
% 86.00/12.20
% 86.00/12.20 (exchange_def7)
% 86.00/12.20 ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : !
% 86.00/12.20 [v5: int] : ! [v6: uni] : ! [v7: uni] : ! [v8: any] : ( ~ (exchange2(v0,
% 86.00/12.20 v6, v7, 0, v5, v3, v4) = v8) | ~ (elts(v0, v2) = v7) | ~ (elts(v0, v1)
% 86.00/12.20 = v6) | ~ (length2(v0, v1) = v5) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) |
% 86.00/12.20 ? [v9: any] : ? [v10: int] : (exchange3(v0, v1, v2, v3, v4) = v9 &
% 86.00/12.20 length2(v0, v2) = v10 & ( ~ (v9 = 0) | (v10 = v5 & v8 = 0)))) & ! [v0:
% 86.00/12.20 ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : ! [v5:
% 86.00/12.20 int] : ! [v6: uni] : ! [v7: uni] : ( ~ (exchange2(v0, v6, v7, 0, v5, v3,
% 86.00/12.20 v4) = 0) | ~ (elts(v0, v2) = v7) | ~ (elts(v0, v1) = v6) | ~
% 86.00/12.20 (length2(v0, v1) = v5) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v8: int]
% 86.00/12.20 : ? [v9: any] : (exchange3(v0, v1, v2, v3, v4) = v9 & length2(v0, v2) = v8
% 86.00/12.20 & ( ~ (v8 = v5) | v9 = 0))) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] :
% 86.00/12.20 ! [v3: int] : ! [v4: int] : ! [v5: int] : (v5 = 0 | ~ (exchange3(v0, v1,
% 86.00/12.20 v2, v3, v4) = v5) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v6: int] :
% 86.00/12.20 ? [v7: int] : ? [v8: uni] : ? [v9: uni] : ? [v10: any] : (exchange2(v0,
% 86.00/12.20 v8, v9, 0, v6, v3, v4) = v10 & elts(v0, v2) = v9 & elts(v0, v1) = v8 &
% 86.00/12.20 length2(v0, v2) = v7 & length2(v0, v1) = v6 & uni(v9) & uni(v8) & ( ~ (v10
% 86.00/12.20 = 0) | ~ (v7 = v6)))) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] :
% 86.00/12.20 ! [v3: int] : ! [v4: int] : ( ~ (exchange3(v0, v1, v2, v3, v4) = 0) | ~
% 86.00/12.20 ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v5: int] : ? [v6: uni] : ? [v7:
% 86.00/12.20 uni] : (exchange2(v0, v6, v7, 0, v5, v3, v4) = 0 & elts(v0, v2) = v7 &
% 86.00/12.20 elts(v0, v1) = v6 & length2(v0, v2) = v5 & length2(v0, v1) = v5 & uni(v7)
% 86.00/12.20 & uni(v6)))
% 86.00/12.20
% 86.00/12.20 (exchange_permut_all1)
% 86.00/12.20 ty(int) & ! [v0: array_int] : ! [v1: array_int] : ! [v2: int] : ! [v3:
% 86.00/12.20 int] : ( ~ (exchange4(v0, v1, v2, v3) = 0) | ~ array_int(v1) | ~
% 86.00/12.20 array_int(v0) | ? [v4: uni] : ? [v5: uni] : (permut_all(int, v4, v5) = 0 &
% 86.00/12.20 t2tb2(v1) = v5 & t2tb2(v0) = v4 & uni(v5) & uni(v4)))
% 86.00/12.20
% 86.00/12.20 (length_def2)
% 86.00/12.20 ty(int) & ! [v0: int] : ! [v1: map_int_int] : ! [v2: array_int] : ( ~
% 86.00/12.20 (mk_array3(v0, v1) = v2) | ~ map_int_int(v1) | ? [v3: uni] : (length2(int,
% 86.00/12.20 v3) = v0 & t2tb2(v2) = v3 & uni(v3)))
% 86.00/12.20
% 86.00/12.20 (map_eq_sub_def2)
% 86.00/12.21 ty(int) & ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3:
% 86.00/12.21 int] : ! [v4: uni] : ! [v5: uni] : ! [v6: int] : ! [v7: int] : ( ~
% 86.00/12.21 ($lesseq(1, $difference(v3, v6))) | ~ ($lesseq(v2, v6)) | ~
% 86.00/12.21 (map_eq_sub1(int, v4, v5, v2, v3) = 0) | ~ (get3(v1, v6) = v7) | ~
% 86.00/12.21 (t2tb(v1) = v5) | ~ (t2tb(v0) = v4) | ~ map_int_int(v1) | ~
% 86.00/12.21 map_int_int(v0) | get3(v0, v6) = v7) & ! [v0: map_int_int] : ! [v1:
% 86.00/12.21 map_int_int] : ! [v2: int] : ! [v3: int] : ! [v4: uni] : ! [v5: uni] :
% 86.00/12.21 ! [v6: int] : ! [v7: int] : ( ~ ($lesseq(1, $difference(v3, v6))) | ~
% 86.00/12.21 ($lesseq(v2, v6)) | ~ (map_eq_sub1(int, v4, v5, v2, v3) = 0) | ~ (get3(v0,
% 86.00/12.21 v6) = v7) | ~ (t2tb(v1) = v5) | ~ (t2tb(v0) = v4) | ~ map_int_int(v1)
% 86.00/12.21 | ~ map_int_int(v0) | get3(v1, v6) = v7) & ! [v0: map_int_int] : ! [v1:
% 86.00/12.21 map_int_int] : ! [v2: int] : ! [v3: int] : ! [v4: uni] : ! [v5: uni] :
% 86.00/12.21 ! [v6: int] : (v6 = 0 | ~ (map_eq_sub1(int, v4, v5, v2, v3) = v6) | ~
% 86.00/12.21 (t2tb(v1) = v5) | ~ (t2tb(v0) = v4) | ~ map_int_int(v1) | ~
% 86.00/12.21 map_int_int(v0) | ? [v7: int] : ? [v8: int] : ? [v9: int] : ( ~ (v9 = v8)
% 86.00/12.21 & $lesseq(1, $difference(v3, v7)) & $lesseq(v2, v7) & get3(v1, v7) = v9 &
% 86.00/12.21 get3(v0, v7) = v8))
% 86.00/12.21
% 86.00/12.21 (permut_all_def2)
% 86.00/12.21 ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: uni] : !
% 86.00/12.21 [v5: uni] : ! [v6: any] : ( ~ (permut2(v0, v4, v5, 0, v3) = v6) | ~
% 86.00/12.21 (elts(v0, v2) = v5) | ~ (elts(v0, v1) = v4) | ~ (length2(v0, v1) = v3) |
% 86.00/12.21 ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v7: any] : ? [v8: int] :
% 86.00/12.21 (permut_all(v0, v1, v2) = v7 & length2(v0, v2) = v8 & ( ~ (v7 = 0) | (v8 =
% 86.00/12.21 v3 & v6 = 0)))) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3:
% 86.00/12.21 int] : ! [v4: uni] : ! [v5: uni] : ( ~ (permut2(v0, v4, v5, 0, v3) = 0) |
% 86.00/12.21 ~ (elts(v0, v2) = v5) | ~ (elts(v0, v1) = v4) | ~ (length2(v0, v1) = v3) |
% 86.00/12.21 ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v6: int] : ? [v7: any] :
% 86.00/12.21 (permut_all(v0, v1, v2) = v7 & length2(v0, v2) = v6 & ( ~ (v6 = v3) | v7 =
% 86.00/12.21 0))) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : (v3 =
% 86.00/12.21 0 | ~ (permut_all(v0, v1, v2) = v3) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) |
% 86.00/12.21 ? [v4: int] : ? [v5: int] : ? [v6: uni] : ? [v7: uni] : ? [v8: any] :
% 86.00/12.21 (permut2(v0, v6, v7, 0, v4) = v8 & elts(v0, v2) = v7 & elts(v0, v1) = v6 &
% 86.00/12.21 length2(v0, v2) = v5 & length2(v0, v1) = v4 & uni(v7) & uni(v6) & ( ~ (v8
% 86.00/12.21 = 0) | ~ (v5 = v4)))) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : (
% 86.00/12.21 ~ (permut_all(v0, v1, v2) = 0) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ?
% 86.00/12.21 [v3: int] : ? [v4: uni] : ? [v5: uni] : (permut2(v0, v4, v5, 0, v3) = 0 &
% 86.00/12.21 elts(v0, v2) = v5 & elts(v0, v1) = v4 & length2(v0, v2) = v3 & length2(v0,
% 86.00/12.21 v1) = v3 & uni(v5) & uni(v4)))
% 86.00/12.21
% 86.00/12.21 (permut_def5)
% 86.00/12.22 ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : !
% 86.00/12.22 [v5: uni] : ! [v6: uni] : ! [v7: any] : ( ~ (permut2(v0, v5, v6, v3, v4) =
% 86.00/12.22 v7) | ~ (elts(v0, v2) = v6) | ~ (elts(v0, v1) = v5) | ~ ty(v0) | ~
% 86.00/12.22 uni(v2) | ~ uni(v1) | ? [v8: any] : ? [v9: int] : ? [v10: int] :
% 86.00/12.22 (permut3(v0, v1, v2, v3, v4) = v8 & length2(v0, v2) = v10 & length2(v0, v1)
% 86.00/12.22 = v9 & ( ~ (v8 = 0) | (v10 = v9 & v7 = 0 & $lesseq(v4, v9) & $lesseq(v3,
% 86.00/12.22 v9) & $lesseq(0, v4) & $lesseq(0, v3))))) & ! [v0: ty] : ! [v1:
% 86.00/12.22 uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : ! [v5: uni] : ! [v6:
% 86.00/12.22 uni] : ( ~ ($lesseq(0, v4)) | ~ ($lesseq(0, v3)) | ~ (permut2(v0, v5, v6,
% 86.00/12.22 v3, v4) = 0) | ~ (elts(v0, v2) = v6) | ~ (elts(v0, v1) = v5) | ~
% 86.00/12.22 ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v7: int] : ? [v8: int] : ? [v9:
% 86.00/12.22 any] : (permut3(v0, v1, v2, v3, v4) = v9 & length2(v0, v2) = v8 &
% 86.00/12.22 length2(v0, v1) = v7 & ( ~ (v8 = v7) | v9 = 0 | ~ ($lesseq(v4, v7)) | ~
% 86.00/12.22 ($lesseq(v3, v7))))) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : !
% 86.00/12.22 [v3: int] : ! [v4: int] : ! [v5: int] : (v5 = 0 | ~ ($lesseq(0, v4)) | ~
% 86.00/12.22 ($lesseq(0, v3)) | ~ (permut3(v0, v1, v2, v3, v4) = v5) | ~ ty(v0) | ~
% 86.00/12.22 uni(v2) | ~ uni(v1) | ? [v6: int] : ? [v7: int] : ? [v8: uni] : ? [v9:
% 86.00/12.22 uni] : ? [v10: any] : (permut2(v0, v8, v9, v3, v4) = v10 & elts(v0, v2) =
% 86.00/12.22 v9 & elts(v0, v1) = v8 & length2(v0, v2) = v7 & length2(v0, v1) = v6 &
% 86.00/12.22 uni(v9) & uni(v8) & ( ~ (v10 = 0) | ~ (v7 = v6) | ~ ($lesseq(v4, v6)) |
% 86.00/12.22 ~ ($lesseq(v3, v6))))) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : !
% 86.00/12.22 [v3: int] : ! [v4: int] : ( ~ ($lesseq(v4, -1)) | ~ (permut3(v0, v1, v2, v3,
% 86.00/12.22 v4) = 0) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1)) & ! [v0: ty] : ! [v1:
% 86.00/12.22 uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : ( ~ ($lesseq(v3, -1)) |
% 86.00/12.22 ~ (permut3(v0, v1, v2, v3, v4) = 0) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1)) &
% 86.00/12.22 ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : ( ~
% 86.00/12.22 (permut3(v0, v1, v2, v3, v4) = 0) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ?
% 86.00/12.22 [v5: int] : ? [v6: uni] : ? [v7: uni] : ($lesseq(v4, v5) & $lesseq(v3, v5)
% 86.00/12.22 & permut2(v0, v6, v7, v3, v4) = 0 & elts(v0, v2) = v7 & elts(v0, v1) = v6
% 86.00/12.22 & length2(v0, v2) = v5 & length2(v0, v1) = v5 & uni(v7) & uni(v6)))
% 86.00/12.22
% 86.00/12.22 (permut_exists2)
% 86.00/12.22 ty(int) & ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3:
% 86.00/12.22 int] : ! [v4: int] : ! [v5: uni] : ! [v6: uni] : ! [v7: int] : ( ~
% 86.00/12.22 ($lesseq(1, $difference(v3, v4))) | ~ ($lesseq(v2, v4)) | ~ (permut2(int,
% 86.00/12.22 v5, v6, v2, v3) = 0) | ~ (get3(v1, v4) = v7) | ~ (t2tb(v1) = v6) | ~
% 86.00/12.22 (t2tb(v0) = v5) | ~ map_int_int(v1) | ~ map_int_int(v0) | ? [v8: int] :
% 86.00/12.22 ($lesseq(1, $difference(v3, v8)) & $lesseq(v2, v8) & get3(v0, v8) = v7))
% 86.00/12.22
% 86.00/12.22 (permut_sub_def2)
% 86.00/12.23 ty(int) & ! [v0: array_int] : ! [v1: array_int] : ! [v2: int] : ! [v3:
% 86.00/12.23 int] : ! [v4: uni] : ! [v5: uni] : ! [v6: any] : ( ~ (permut3(int, v4,
% 86.00/12.23 v5, v2, v3) = v6) | ~ (t2tb2(v1) = v5) | ~ (t2tb2(v0) = v4) | ~
% 86.00/12.23 array_int(v1) | ~ array_int(v0) | ? [v7: any] : ? [v8: uni] : ? [v9:
% 86.00/12.23 uni] : ? [v10: any] : ? [v11: int] : ? [v12: any] : (permut_sub2(v0,
% 86.00/12.23 v1, v2, v3) = v7 & map_eq_sub1(int, v8, v9, v3, v11) = v12 &
% 86.00/12.23 map_eq_sub1(int, v8, v9, 0, v2) = v10 & elts(int, v5) = v9 & elts(int, v4)
% 86.00/12.23 = v8 & length2(int, v4) = v11 & uni(v9) & uni(v8) & ( ~ (v7 = 0) | (v12 =
% 86.00/12.23 0 & v10 = 0 & v6 = 0)))) & ! [v0: array_int] : ! [v1: array_int] :
% 86.00/12.23 ! [v2: int] : ! [v3: int] : ! [v4: uni] : ! [v5: uni] : ( ~ (permut3(int,
% 86.00/12.23 v4, v5, v2, v3) = 0) | ~ (t2tb2(v1) = v5) | ~ (t2tb2(v0) = v4) | ~
% 86.00/12.23 array_int(v1) | ~ array_int(v0) | ? [v6: uni] : ? [v7: uni] : ? [v8:
% 86.00/12.23 any] : ? [v9: int] : ? [v10: any] : ? [v11: any] : (permut_sub2(v0, v1,
% 86.00/12.23 v2, v3) = v11 & map_eq_sub1(int, v6, v7, v3, v9) = v10 &
% 86.00/12.23 map_eq_sub1(int, v6, v7, 0, v2) = v8 & elts(int, v5) = v7 & elts(int, v4)
% 86.00/12.23 = v6 & length2(int, v4) = v9 & uni(v7) & uni(v6) & ( ~ (v10 = 0) | ~ (v8
% 86.00/12.23 = 0) | v11 = 0))) & ! [v0: array_int] : ! [v1: array_int] : ! [v2:
% 86.00/12.23 int] : ! [v3: int] : ! [v4: int] : (v4 = 0 | ~ (permut_sub2(v0, v1, v2,
% 86.00/12.23 v3) = v4) | ~ array_int(v1) | ~ array_int(v0) | ? [v5: uni] : ? [v6:
% 86.00/12.23 uni] : ? [v7: uni] : ? [v8: uni] : ? [v9: any] : ? [v10: any] : ?
% 86.00/12.23 [v11: int] : ? [v12: any] : (permut3(int, v5, v7, v2, v3) = v10 &
% 86.00/12.23 map_eq_sub1(int, v6, v8, v3, v11) = v12 & map_eq_sub1(int, v6, v8, 0, v2)
% 86.00/12.23 = v9 & elts(int, v7) = v8 & elts(int, v5) = v6 & length2(int, v5) = v11 &
% 86.00/12.23 t2tb2(v1) = v7 & t2tb2(v0) = v5 & uni(v8) & uni(v7) & uni(v6) & uni(v5) &
% 86.00/12.23 ( ~ (v12 = 0) | ~ (v10 = 0) | ~ (v9 = 0)))) & ! [v0: array_int] : !
% 86.00/12.23 [v1: array_int] : ! [v2: int] : ! [v3: int] : ( ~ (permut_sub2(v0, v1, v2,
% 86.00/12.23 v3) = 0) | ~ array_int(v1) | ~ array_int(v0) | ? [v4: uni] : ? [v5:
% 86.00/12.23 uni] : ? [v6: uni] : ? [v7: uni] : ? [v8: int] : (permut3(int, v4, v6,
% 86.00/12.23 v2, v3) = 0 & map_eq_sub1(int, v5, v7, v3, v8) = 0 & map_eq_sub1(int,
% 86.00/12.23 v5, v7, 0, v2) = 0 & elts(int, v6) = v7 & elts(int, v4) = v5 &
% 86.00/12.23 length2(int, v4) = v8 & t2tb2(v1) = v6 & t2tb2(v0) = v4 & uni(v7) &
% 86.00/12.23 uni(v6) & uni(v5) & uni(v4)))
% 86.00/12.23
% 86.00/12.23 (permut_sub_def3)
% 86.00/12.23 ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : !
% 86.00/12.23 [v5: int] : (v5 = 0 | ~ (permut_sub1(v0, v1, v2, v3, v4) = v5) | ~ ty(v0) |
% 86.00/12.23 ~ uni(v2) | ~ uni(v1) | ? [v6: uni] : ? [v7: uni] : ? [v8: any] : ?
% 86.00/12.23 [v9: any] : ? [v10: int] : ? [v11: any] : (permut3(v0, v1, v2, v3, v4) =
% 86.00/12.23 v9 & map_eq_sub1(v0, v6, v7, v4, v10) = v11 & map_eq_sub1(v0, v6, v7, 0,
% 86.00/12.23 v3) = v8 & elts(v0, v2) = v7 & elts(v0, v1) = v6 & length2(v0, v1) = v10
% 86.00/12.23 & uni(v7) & uni(v6) & ( ~ (v11 = 0) | ~ (v9 = 0) | ~ (v8 = 0)))) & !
% 86.00/12.23 [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : ! [v5:
% 86.00/12.23 any] : ( ~ (permut3(v0, v1, v2, v3, v4) = v5) | ~ ty(v0) | ~ uni(v2) | ~
% 86.00/12.23 uni(v1) | ? [v6: any] : ? [v7: uni] : ? [v8: uni] : ? [v9: any] : ?
% 86.00/12.23 [v10: int] : ? [v11: any] : (permut_sub1(v0, v1, v2, v3, v4) = v6 &
% 86.00/12.23 map_eq_sub1(v0, v7, v8, v4, v10) = v11 & map_eq_sub1(v0, v7, v8, 0, v3) =
% 86.00/12.23 v9 & elts(v0, v2) = v8 & elts(v0, v1) = v7 & length2(v0, v1) = v10 &
% 86.00/12.23 uni(v8) & uni(v7) & ( ~ (v6 = 0) | (v11 = 0 & v9 = 0 & v5 = 0)))) & !
% 86.00/12.23 [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int] : ( ~
% 86.00/12.23 (permut_sub1(v0, v1, v2, v3, v4) = 0) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1)
% 86.00/12.23 | ? [v5: uni] : ? [v6: uni] : ? [v7: int] : (permut3(v0, v1, v2, v3, v4)
% 86.00/12.23 = 0 & map_eq_sub1(v0, v5, v6, v4, v7) = 0 & map_eq_sub1(v0, v5, v6, 0, v3)
% 86.00/12.23 = 0 & elts(v0, v2) = v6 & elts(v0, v1) = v5 & length2(v0, v1) = v7 &
% 86.00/12.23 uni(v6) & uni(v5))) & ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3:
% 86.00/12.23 int] : ! [v4: int] : ( ~ (permut3(v0, v1, v2, v3, v4) = 0) | ~ ty(v0) | ~
% 86.00/12.23 uni(v2) | ~ uni(v1) | ? [v5: uni] : ? [v6: uni] : ? [v7: any] : ? [v8:
% 86.00/12.23 int] : ? [v9: any] : ? [v10: any] : (permut_sub1(v0, v1, v2, v3, v4) =
% 86.00/12.23 v10 & map_eq_sub1(v0, v5, v6, v4, v8) = v9 & map_eq_sub1(v0, v5, v6, 0,
% 86.00/12.23 v3) = v7 & elts(v0, v2) = v6 & elts(v0, v1) = v5 & length2(v0, v1) = v8
% 86.00/12.23 & uni(v6) & uni(v5) & ( ~ (v9 = 0) | ~ (v7 = 0) | v10 = 0)))
% 86.00/12.23
% 86.00/12.23 (wP_parameter_partition_)
% 86.00/12.24 ? [v0: int] : ? [v1: map_int_int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 86.00/12.24 array_int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ?
% 86.00/12.24 [v9: map_int_int] : ? [v10: array_int] : ? [v11: int] : ? [v12: int] : ?
% 86.00/12.24 [v13: map_int_int] : ? [v14: array_int] : ? [v15: int] : ? [v16: int] :
% 86.00/12.24 ($lesseq(1, $difference(v6, v16)) & $lesseq(v15, v3) & $lesseq(v8, v15) &
% 86.00/12.24 $lesseq(v7, v8) & $lesseq(v5, v8) & $lesseq(1, $difference(v7, v5)) &
% 86.00/12.24 $lesseq(v2, v7) & $lesseq(1, $difference(v0, v5)) & $lesseq(v2, v5) &
% 86.00/12.24 $lesseq(0, v5) & $lesseq(1, $difference(v0, v3)) & $lesseq(0, v2) &
% 86.00/12.24 permut_sub2(v10, v14, v2, $sum(v3, 1)) = 0 & permut_sub2(v4, v10, v2,
% 86.00/12.24 $sum(v3, 1)) = 0 & permut_sub2(v4, v4, v2, $sum(v3, 1)) = 0 &
% 86.00/12.24 exchange4(v10, v14, v5, v7) = 0 & mk_array3(v0, v13) = v14 & mk_array3(v0,
% 86.00/12.24 v9) = v10 & mk_array3(v0, v1) = v4 & get3(v13, v15) = v16 & get3(v9, v8) =
% 86.00/12.24 v11 & get3(v9, v7) = v12 & get3(v9, v5) = v6 & get3(v1, v5) = v6 &
% 86.00/12.24 array_int(v14) & array_int(v10) & array_int(v4) & map_int_int(v13) &
% 86.00/12.24 map_int_int(v9) & map_int_int(v1) & ! [v17: int] : ! [v18: int] : ( ~
% 86.00/12.24 ($lesseq(1, $difference(v6, v18))) | ~ ($lesseq(v17, v3)) | ~
% 86.00/12.24 ($lesseq(1, $difference(v17, v7))) | ~ (get3(v9, v17) = v18)) & ! [v17:
% 86.00/12.24 int] : ! [v18: int] : ( ~ ($lesseq(1, $difference(v18, v6))) | ~
% 86.00/12.24 ($lesseq(1, $difference(v8, v17))) | ~ ($lesseq(v2, v17)) | ~ (get3(v9,
% 86.00/12.24 v17) = v18)) & ( ~ (v8 = v7) | ~ ($lesseq(1, $difference(v3, v7))) |
% 86.00/12.24 ~ ($lesseq(1, $difference(v7, v2)))) & ( ~ ($lesseq(v6, v12)) | ~
% 86.00/12.24 ($lesseq(1, $difference(v7, v2)))) & ( ~ ($lesseq(v11, v6)) | ~
% 86.00/12.24 ($lesseq(1, $difference(v3, v8)))))
% 86.00/12.24
% 86.00/12.24 (function-axioms)
% 86.37/12.25 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: int] : !
% 86.37/12.25 [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : !
% 86.37/12.25 [v8: ty] : (v1 = v0 | ~ (exchange2(v8, v7, v6, v5, v4, v3, v2) = v1) | ~
% 86.37/12.25 (exchange2(v8, v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 86.37/12.25 ! [v1: MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: uni] : !
% 86.37/12.25 [v5: uni] : ! [v6: ty] : (v1 = v0 | ~ (permut_sub1(v6, v5, v4, v3, v2) = v1)
% 86.37/12.25 | ~ (permut_sub1(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 86.37/12.25 ! [v1: MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: uni] : !
% 86.37/12.25 [v5: uni] : ! [v6: ty] : (v1 = v0 | ~ (permut3(v6, v5, v4, v3, v2) = v1) |
% 86.37/12.25 ~ (permut3(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 86.37/12.25 MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: uni] : ! [v5:
% 86.37/12.25 uni] : ! [v6: ty] : (v1 = v0 | ~ (exchange3(v6, v5, v4, v3, v2) = v1) | ~
% 86.37/12.25 (exchange3(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 86.37/12.25 MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: uni] : ! [v5:
% 86.37/12.25 uni] : ! [v6: ty] : (v1 = v0 | ~ (array_eq_sub1(v6, v5, v4, v3, v2) = v1)
% 86.37/12.25 | ~ (array_eq_sub1(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool]
% 86.37/12.25 : ! [v1: MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: uni] : !
% 86.37/12.25 [v5: uni] : ! [v6: ty] : (v1 = v0 | ~ (map_eq_sub1(v6, v5, v4, v3, v2) = v1)
% 86.37/12.25 | ~ (map_eq_sub1(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 86.37/12.25 ! [v1: MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: uni] : !
% 86.37/12.25 [v5: uni] : ! [v6: ty] : (v1 = v0 | ~ (permut2(v6, v5, v4, v3, v2) = v1) |
% 86.37/12.25 ~ (permut2(v6, v5, v4, v3, v2) = v0)) & ! [v0: int] : ! [v1: int] : !
% 86.37/12.25 [v2: int] : ! [v3: int] : ! [v4: uni] : ! [v5: uni] : ! [v6: ty] : (v1 =
% 86.37/12.25 v0 | ~ (occ2(v6, v5, v4, v3, v2) = v1) | ~ (occ2(v6, v5, v4, v3, v2) =
% 86.37/12.25 v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4:
% 86.37/12.25 uni] : ! [v5: ty] : ! [v6: ty] : (v1 = v0 | ~ (set(v6, v5, v4, v3, v2) =
% 86.37/12.25 v1) | ~ (set(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 86.37/12.25 [v1: MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: array_int] :
% 86.37/12.25 ! [v5: array_int] : (v1 = v0 | ~ (permut_sub2(v5, v4, v3, v2) = v1) | ~
% 86.37/12.25 (permut_sub2(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 86.37/12.25 MultipleValueBool] : ! [v2: int] : ! [v3: int] : ! [v4: array_int] : !
% 86.37/12.25 [v5: array_int] : (v1 = v0 | ~ (exchange4(v5, v4, v3, v2) = v1) | ~
% 86.37/12.25 (exchange4(v5, v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2:
% 86.37/12.25 uni] : ! [v3: int] : ! [v4: uni] : ! [v5: ty] : (v1 = v0 | ~ (set2(v5,
% 86.37/12.25 v4, v3, v2) = v1) | ~ (set2(v5, v4, v3, v2) = v0)) & ! [v0: uni] : !
% 86.37/12.25 [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: ty] : ! [v5: ty] : (v1 = v0
% 86.37/12.25 | ~ (get(v5, v4, v3, v2) = v1) | ~ (get(v5, v4, v3, v2) = v0)) & ! [v0:
% 86.37/12.25 uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: bool1] : ! [v5:
% 86.37/12.25 ty] : (v1 = v0 | ~ (match_bool1(v5, v4, v3, v2) = v1) | ~ (match_bool1(v5,
% 86.37/12.25 v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 86.37/12.25 MultipleValueBool] : ! [v2: uni] : ! [v3: uni] : ! [v4: ty] : (v1 = v0 |
% 86.37/12.25 ~ (permut_all(v4, v3, v2) = v1) | ~ (permut_all(v4, v3, v2) = v0)) & !
% 86.37/12.25 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: uni] : ! [v3:
% 86.37/12.25 uni] : ! [v4: ty] : (v1 = v0 | ~ (array_eq(v4, v3, v2) = v1) | ~
% 86.37/12.25 (array_eq(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] :
% 86.37/12.25 ! [v3: int] : ! [v4: ty] : (v1 = v0 | ~ (make1(v4, v3, v2) = v1) | ~
% 86.37/12.25 (make1(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: int] : !
% 86.37/12.25 [v3: uni] : ! [v4: ty] : (v1 = v0 | ~ (get4(v4, v3, v2) = v1) | ~ (get4(v4,
% 86.37/12.25 v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3:
% 86.37/12.25 int] : ! [v4: ty] : (v1 = v0 | ~ (mk_array2(v4, v3, v2) = v1) | ~
% 86.37/12.25 (mk_array2(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] :
% 86.37/12.25 ! [v3: ty] : ! [v4: ty] : (v1 = v0 | ~ (const(v4, v3, v2) = v1) | ~
% 86.37/12.25 (const(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : !
% 86.37/12.25 [v3: ty] : (v1 = v0 | ~ (elts(v3, v2) = v1) | ~ (elts(v3, v2) = v0)) & !
% 86.37/12.25 [v0: array_int] : ! [v1: array_int] : ! [v2: map_int_int] : ! [v3: int] :
% 86.37/12.25 (v1 = v0 | ~ (mk_array3(v3, v2) = v1) | ~ (mk_array3(v3, v2) = v0)) & !
% 86.37/12.25 [v0: int] : ! [v1: int] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~
% 86.37/12.25 (length2(v3, v2) = v1) | ~ (length2(v3, v2) = v0)) & ! [v0: int] : ! [v1:
% 86.37/12.25 int] : ! [v2: int] : ! [v3: map_int_int] : (v1 = v0 | ~ (get3(v3, v2) =
% 86.37/12.25 v1) | ~ (get3(v3, v2) = v0)) & ! [v0: ty] : ! [v1: ty] : ! [v2: ty] :
% 86.37/12.25 ! [v3: ty] : (v1 = v0 | ~ (map(v3, v2) = v1) | ~ (map(v3, v2) = v0)) & !
% 86.37/12.25 [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~
% 86.37/12.25 (contents(v3, v2) = v1) | ~ (contents(v3, v2) = v0)) & ! [v0: uni] : !
% 86.37/12.25 [v1: uni] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~ (mk_ref(v3, v2) = v1) |
% 86.37/12.25 ~ (mk_ref(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 86.37/12.25 MultipleValueBool] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~ (sort1(v3,
% 86.37/12.25 v2) = v1) | ~ (sort1(v3, v2) = v0)) & ! [v0: array_int] : ! [v1:
% 86.37/12.25 array_int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t2(v2) = v1) | ~ (tb2t2(v2) =
% 86.37/12.25 v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: array_int] : (v1 = v0 | ~
% 86.37/12.25 (t2tb2(v2) = v1) | ~ (t2tb2(v2) = v0)) & ! [v0: ty] : ! [v1: ty] : !
% 86.37/12.25 [v2: ty] : (v1 = v0 | ~ (array(v2) = v1) | ~ (array(v2) = v0)) & ! [v0:
% 86.37/12.25 int] : ! [v1: int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t1(v2) = v1) | ~
% 86.37/12.25 (tb2t1(v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: int] : (v1 = v0 |
% 86.37/12.25 ~ (t2tb1(v2) = v1) | ~ (t2tb1(v2) = v0)) & ! [v0: map_int_int] : ! [v1:
% 86.37/12.25 map_int_int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t(v2) = v1) | ~ (tb2t(v2) =
% 86.37/12.25 v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: map_int_int] : (v1 = v0 | ~
% 86.37/12.25 (t2tb(v2) = v1) | ~ (t2tb(v2) = v0)) & ! [v0: ty] : ! [v1: ty] : ! [v2:
% 86.37/12.25 ty] : (v1 = v0 | ~ (ref(v2) = v1) | ~ (ref(v2) = v0)) & ! [v0: uni] : !
% 86.37/12.25 [v1: uni] : ! [v2: ty] : (v1 = v0 | ~ (witness1(v2) = v1) | ~ (witness1(v2)
% 86.37/12.25 = v0))
% 86.37/12.25
% 86.37/12.25 Further assumptions not needed in the proof:
% 86.37/12.25 --------------------------------------------
% 86.37/12.25 array_eq_def2, array_inversion2, bool_inversion, bridgeL, bridgeL1, bridgeL2,
% 86.37/12.25 bridgeR1, bridgeR2, compatOrderMult, const3, const4, const_sort1, contents_def1,
% 86.37/12.25 contents_sort1, elts_def3, elts_sort2, exchange_permut_all2,
% 86.37/12.25 exchange_permut_sub2, exchange_permut_sub3, exchange_set2, exchange_set3,
% 86.37/12.25 get_def2, get_def3, get_sort3, get_sort4, length_def3, make_def2, make_def3,
% 86.37/12.25 make_sort1, map_eq_sub_def3, match_bool_False, match_bool_True,
% 86.37/12.25 match_bool_sort1, mk_array_sort2, mk_ref_sort1, occ_append2, occ_bounds2,
% 86.37/12.25 occ_empty2, occ_eq2, occ_eq3, occ_exists2, occ_exists3, occ_neq2, occ_neq3,
% 86.37/12.25 occ_pos2, occ_pos3, occ_right_add2, occ_right_add3, occ_right_no_add2,
% 86.37/12.25 occ_right_no_add3, permut_def4, permut_exists3, permut_sub_weakening2,
% 86.37/12.25 permut_sub_weakening3, permut_trans, ref_inversion1, select_eq2, select_eq3,
% 86.37/12.25 select_neq2, select_neq3, set_def2, set_def3, set_sort2, set_sort3, t2tb_sort,
% 86.37/12.25 t2tb_sort1, t2tb_sort2, true_False, tuple0_inversion, witness_sort1
% 86.37/12.25
% 86.37/12.25 Those formulas are unsatisfiable:
% 86.37/12.25 ---------------------------------
% 86.37/12.25
% 86.37/12.25 Begin of proof
% 86.37/12.25 |
% 86.37/12.25 | ALPHA: (length_def2) implies:
% 86.37/12.26 | (1) ! [v0: int] : ! [v1: map_int_int] : ! [v2: array_int] : ( ~
% 86.37/12.26 | (mk_array3(v0, v1) = v2) | ~ map_int_int(v1) | ? [v3: uni] :
% 86.37/12.26 | (length2(int, v3) = v0 & t2tb2(v2) = v3 & uni(v3)))
% 86.37/12.26 |
% 86.37/12.26 | ALPHA: (elts_def2) implies:
% 86.37/12.26 | (2) ! [v0: int] : ! [v1: map_int_int] : ! [v2: array_int] : ( ~
% 86.37/12.26 | (mk_array3(v0, v1) = v2) | ~ map_int_int(v1) | ? [v3: uni] : ?
% 86.37/12.26 | [v4: uni] : (elts(int, v3) = v4 & t2tb2(v2) = v3 & tb2t(v4) = v1 &
% 86.37/12.26 | uni(v4) & uni(v3)))
% 86.37/12.26 |
% 86.37/12.26 | ALPHA: (array_inversion3) implies:
% 86.37/12.26 | (3) ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ( ~ (length2(v0, v1) = v2)
% 86.37/12.26 | | ~ ty(v0) | ~ uni(v1) | ? [v3: uni] : (elts(v0, v1) = v3 &
% 86.37/12.26 | mk_array2(v0, v2, v3) = v1 & uni(v3)))
% 86.37/12.26 | (4) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ( ~ (elts(v0, v1) = v2) |
% 86.37/12.26 | ~ ty(v0) | ~ uni(v1) | ? [v3: int] : (length2(v0, v1) = v3 &
% 86.37/12.26 | mk_array2(v0, v3, v2) = v1))
% 86.37/12.26 |
% 86.37/12.26 | ALPHA: (permut_exists2) implies:
% 86.37/12.26 | (5) ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3:
% 86.37/12.26 | int] : ! [v4: int] : ! [v5: uni] : ! [v6: uni] : ! [v7: int] : (
% 86.37/12.26 | ~ ($lesseq(1, $difference(v3, v4))) | ~ ($lesseq(v2, v4)) | ~
% 86.37/12.26 | (permut2(int, v5, v6, v2, v3) = 0) | ~ (get3(v1, v4) = v7) | ~
% 86.37/12.26 | (t2tb(v1) = v6) | ~ (t2tb(v0) = v5) | ~ map_int_int(v1) | ~
% 86.37/12.26 | map_int_int(v0) | ? [v8: int] : ($lesseq(1, $difference(v3, v8)) &
% 86.37/12.26 | $lesseq(v2, v8) & get3(v0, v8) = v7))
% 86.37/12.26 |
% 86.37/12.26 | ALPHA: (map_eq_sub_def2) implies:
% 86.37/12.26 | (6) ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3:
% 86.37/12.26 | int] : ! [v4: uni] : ! [v5: uni] : ! [v6: int] : ! [v7: int] : (
% 86.37/12.26 | ~ ($lesseq(1, $difference(v3, v6))) | ~ ($lesseq(v2, v6)) | ~
% 86.37/12.26 | (map_eq_sub1(int, v4, v5, v2, v3) = 0) | ~ (get3(v1, v6) = v7) | ~
% 86.37/12.26 | (t2tb(v1) = v5) | ~ (t2tb(v0) = v4) | ~ map_int_int(v1) | ~
% 86.37/12.26 | map_int_int(v0) | get3(v0, v6) = v7)
% 86.37/12.26 |
% 86.37/12.26 | ALPHA: (array_eq_sub_def2) implies:
% 86.37/12.26 | (7) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int]
% 86.37/12.26 | : ! [v5: uni] : ! [v6: uni] : ( ~ ($lesseq(0, v4)) | ~ ($lesseq(0,
% 86.37/12.26 | v3)) | ~ (map_eq_sub1(v0, v5, v6, v3, v4) = 0) | ~ (elts(v0,
% 86.37/12.26 | v2) = v6) | ~ (elts(v0, v1) = v5) | ~ ty(v0) | ~ uni(v2) | ~
% 86.37/12.26 | uni(v1) | ? [v7: int] : ? [v8: int] : ? [v9: any] :
% 86.37/12.26 | (array_eq_sub1(v0, v1, v2, v3, v4) = v9 & length2(v0, v2) = v8 &
% 86.37/12.26 | length2(v0, v1) = v7 & ( ~ (v8 = v7) | v9 = 0 | ~ ($lesseq(v4,
% 86.37/12.26 | v7)) | ~ ($lesseq(v3, v7)))))
% 86.37/12.27 | (8) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4: int]
% 86.37/12.27 | : ! [v5: uni] : ! [v6: uni] : ! [v7: any] : ( ~ (map_eq_sub1(v0, v5,
% 86.37/12.27 | v6, v3, v4) = v7) | ~ (elts(v0, v2) = v6) | ~ (elts(v0, v1) =
% 86.37/12.27 | v5) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v8: any] : ? [v9:
% 86.37/12.27 | int] : ? [v10: int] : (array_eq_sub1(v0, v1, v2, v3, v4) = v8 &
% 86.37/12.27 | length2(v0, v2) = v10 & length2(v0, v1) = v9 & ( ~ (v8 = 0) | (v10
% 86.37/12.27 | = v9 & v7 = 0 & $lesseq(v4, v9) & $lesseq(v3, v9) & $lesseq(0,
% 86.37/12.27 | v4) & $lesseq(0, v3)))))
% 86.37/12.27 |
% 86.37/12.27 | ALPHA: (exchange_def4) implies:
% 86.37/12.27 | (9) ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3:
% 86.37/12.27 | int] : ! [v4: int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : (
% 86.37/12.27 | ~ (exchange2(int, v6, v7, v2, v3, v4, v5) = 0) | ~ (t2tb(v1) = v7) |
% 86.37/12.27 | ~ (t2tb(v0) = v6) | ~ map_int_int(v1) | ~ map_int_int(v0) | ?
% 86.37/12.27 | [v8: int] : ? [v9: int] : (get3(v1, v5) = v8 & get3(v1, v4) = v9 &
% 86.37/12.27 | get3(v0, v5) = v9 & get3(v0, v4) = v8))
% 86.37/12.27 | (10) ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3:
% 86.37/12.27 | int] : ! [v4: int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] :
% 86.37/12.27 | ! [v8: int] : ! [v9: int] : (v8 = v5 | v8 = v4 | ~ ($lesseq(1,
% 86.37/12.27 | $difference(v3, v8))) | ~ ($lesseq(v2, v8)) | ~
% 86.37/12.27 | (exchange2(int, v6, v7, v2, v3, v4, v5) = 0) | ~ (get3(v0, v8) =
% 86.37/12.27 | v9) | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) = v6) | ~ map_int_int(v1)
% 86.37/12.27 | | ~ map_int_int(v0) | get3(v1, v8) = v9)
% 86.37/12.27 | (11) ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3:
% 86.37/12.27 | int] : ! [v4: int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] :
% 86.37/12.27 | ! [v8: int] : ! [v9: int] : (v8 = v5 | v8 = v4 | ~ ($lesseq(1,
% 86.37/12.27 | $difference(v3, v8))) | ~ ($lesseq(v2, v8)) | ~
% 86.37/12.27 | (exchange2(int, v6, v7, v2, v3, v4, v5) = 0) | ~ (get3(v1, v8) =
% 86.37/12.27 | v9) | ~ (t2tb(v1) = v7) | ~ (t2tb(v0) = v6) | ~ map_int_int(v1)
% 86.37/12.27 | | ~ map_int_int(v0) | get3(v0, v8) = v9)
% 86.37/12.27 |
% 86.37/12.27 | ALPHA: (exchange_def5) implies:
% 86.37/12.27 | (12) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4:
% 86.37/12.27 | int] : ! [v5: int] : ! [v6: int] : ( ~ ($lesseq(v4, v6)) | ~
% 86.37/12.27 | (exchange2(v0, v1, v2, v3, v4, v5, v6) = 0) | ~ ty(v0) | ~ uni(v2)
% 86.37/12.27 | | ~ uni(v1))
% 86.37/12.27 |
% 86.37/12.27 | ALPHA: (exchange_def6) implies:
% 86.37/12.27 | (13) ! [v0: array_int] : ! [v1: array_int] : ! [v2: int] : ! [v3: int]
% 86.37/12.27 | : ( ~ (exchange4(v0, v1, v2, v3) = 0) | ~ array_int(v1) | ~
% 86.37/12.27 | array_int(v0) | ? [v4: uni] : ? [v5: int] : ? [v6: uni] : ? [v7:
% 86.37/12.27 | uni] : ? [v8: uni] : (exchange2(int, v7, v8, 0, v5, v2, v3) = 0 &
% 86.37/12.27 | elts(int, v6) = v8 & elts(int, v4) = v7 & length2(int, v6) = v5 &
% 86.37/12.27 | length2(int, v4) = v5 & t2tb2(v1) = v6 & t2tb2(v0) = v4 & uni(v8)
% 86.37/12.27 | & uni(v7) & uni(v6) & uni(v4)))
% 86.37/12.27 |
% 86.37/12.27 | ALPHA: (exchange_def7) implies:
% 86.37/12.27 | (14) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4:
% 86.37/12.27 | int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : ( ~
% 86.37/12.27 | (exchange2(v0, v6, v7, 0, v5, v3, v4) = 0) | ~ (elts(v0, v2) = v7)
% 86.37/12.27 | | ~ (elts(v0, v1) = v6) | ~ (length2(v0, v1) = v5) | ~ ty(v0) |
% 86.37/12.27 | ~ uni(v2) | ~ uni(v1) | ? [v8: int] : ? [v9: any] :
% 86.37/12.27 | (exchange3(v0, v1, v2, v3, v4) = v9 & length2(v0, v2) = v8 & ( ~ (v8
% 86.37/12.27 | = v5) | v9 = 0)))
% 86.37/12.27 | (15) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4:
% 86.37/12.27 | int] : ! [v5: int] : ! [v6: uni] : ! [v7: uni] : ! [v8: any] : (
% 86.37/12.27 | ~ (exchange2(v0, v6, v7, 0, v5, v3, v4) = v8) | ~ (elts(v0, v2) =
% 86.37/12.27 | v7) | ~ (elts(v0, v1) = v6) | ~ (length2(v0, v1) = v5) | ~
% 86.37/12.27 | ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v9: any] : ? [v10: int] :
% 86.37/12.27 | (exchange3(v0, v1, v2, v3, v4) = v9 & length2(v0, v2) = v10 & ( ~
% 86.37/12.27 | (v9 = 0) | (v10 = v5 & v8 = 0))))
% 86.37/12.27 |
% 86.37/12.27 | ALPHA: (permut_def5) implies:
% 86.37/12.28 | (16) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4:
% 86.37/12.28 | int] : ( ~ (permut3(v0, v1, v2, v3, v4) = 0) | ~ ty(v0) | ~
% 86.37/12.28 | uni(v2) | ~ uni(v1) | ? [v5: int] : ? [v6: uni] : ? [v7: uni] :
% 86.37/12.28 | ($lesseq(v4, v5) & $lesseq(v3, v5) & permut2(v0, v6, v7, v3, v4) = 0
% 86.37/12.28 | & elts(v0, v2) = v7 & elts(v0, v1) = v6 & length2(v0, v2) = v5 &
% 86.37/12.28 | length2(v0, v1) = v5 & uni(v7) & uni(v6)))
% 86.37/12.28 |
% 86.37/12.28 | ALPHA: (permut_sub_def2) implies:
% 86.37/12.28 | (17) ! [v0: array_int] : ! [v1: array_int] : ! [v2: int] : ! [v3: int]
% 86.37/12.28 | : ( ~ (permut_sub2(v0, v1, v2, v3) = 0) | ~ array_int(v1) | ~
% 86.37/12.28 | array_int(v0) | ? [v4: uni] : ? [v5: uni] : ? [v6: uni] : ? [v7:
% 86.37/12.28 | uni] : ? [v8: int] : (permut3(int, v4, v6, v2, v3) = 0 &
% 86.37/12.28 | map_eq_sub1(int, v5, v7, v3, v8) = 0 & map_eq_sub1(int, v5, v7, 0,
% 86.37/12.28 | v2) = 0 & elts(int, v6) = v7 & elts(int, v4) = v5 & length2(int,
% 86.37/12.28 | v4) = v8 & t2tb2(v1) = v6 & t2tb2(v0) = v4 & uni(v7) & uni(v6) &
% 86.37/12.28 | uni(v5) & uni(v4)))
% 86.37/12.28 |
% 86.37/12.28 | ALPHA: (permut_sub_def3) implies:
% 86.53/12.28 | (18) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4:
% 86.53/12.28 | int] : ( ~ (permut3(v0, v1, v2, v3, v4) = 0) | ~ ty(v0) | ~
% 86.53/12.28 | uni(v2) | ~ uni(v1) | ? [v5: uni] : ? [v6: uni] : ? [v7: any] :
% 86.53/12.28 | ? [v8: int] : ? [v9: any] : ? [v10: any] : (permut_sub1(v0, v1,
% 86.53/12.28 | v2, v3, v4) = v10 & map_eq_sub1(v0, v5, v6, v4, v8) = v9 &
% 86.53/12.28 | map_eq_sub1(v0, v5, v6, 0, v3) = v7 & elts(v0, v2) = v6 & elts(v0,
% 86.53/12.28 | v1) = v5 & length2(v0, v1) = v8 & uni(v6) & uni(v5) & ( ~ (v9 =
% 86.53/12.28 | 0) | ~ (v7 = 0) | v10 = 0)))
% 86.53/12.28 | (19) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : ! [v4:
% 86.53/12.28 | int] : ! [v5: any] : ( ~ (permut3(v0, v1, v2, v3, v4) = v5) | ~
% 86.53/12.28 | ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v6: any] : ? [v7: uni] : ?
% 86.53/12.28 | [v8: uni] : ? [v9: any] : ? [v10: int] : ? [v11: any] :
% 86.53/12.28 | (permut_sub1(v0, v1, v2, v3, v4) = v6 & map_eq_sub1(v0, v7, v8, v4,
% 86.53/12.28 | v10) = v11 & map_eq_sub1(v0, v7, v8, 0, v3) = v9 & elts(v0, v2)
% 86.53/12.28 | = v8 & elts(v0, v1) = v7 & length2(v0, v1) = v10 & uni(v8) &
% 86.53/12.28 | uni(v7) & ( ~ (v6 = 0) | (v11 = 0 & v9 = 0 & v5 = 0))))
% 86.53/12.28 |
% 86.53/12.28 | ALPHA: (permut_all_def2) implies:
% 86.53/12.28 | (20) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ( ~ (permut_all(v0, v1,
% 86.53/12.28 | v2) = 0) | ~ ty(v0) | ~ uni(v2) | ~ uni(v1) | ? [v3: int] :
% 86.53/12.28 | ? [v4: uni] : ? [v5: uni] : (permut2(v0, v4, v5, 0, v3) = 0 &
% 86.53/12.28 | elts(v0, v2) = v5 & elts(v0, v1) = v4 & length2(v0, v2) = v3 &
% 86.53/12.28 | length2(v0, v1) = v3 & uni(v5) & uni(v4)))
% 86.53/12.28 |
% 86.53/12.28 | ALPHA: (exchange_permut_all1) implies:
% 86.53/12.28 | (21) ty(int)
% 86.53/12.28 | (22) ! [v0: array_int] : ! [v1: array_int] : ! [v2: int] : ! [v3: int]
% 86.53/12.28 | : ( ~ (exchange4(v0, v1, v2, v3) = 0) | ~ array_int(v1) | ~
% 86.53/12.28 | array_int(v0) | ? [v4: uni] : ? [v5: uni] : (permut_all(int, v4,
% 86.53/12.28 | v5) = 0 & t2tb2(v1) = v5 & t2tb2(v0) = v4 & uni(v5) & uni(v4)))
% 86.53/12.28 |
% 86.53/12.28 | ALPHA: (function-axioms) implies:
% 86.53/12.28 | (23) ! [v0: uni] : ! [v1: uni] : ! [v2: array_int] : (v1 = v0 | ~
% 86.53/12.28 | (t2tb2(v2) = v1) | ~ (t2tb2(v2) = v0))
% 86.53/12.28 | (24) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: map_int_int] :
% 86.53/12.28 | (v1 = v0 | ~ (get3(v3, v2) = v1) | ~ (get3(v3, v2) = v0))
% 86.53/12.28 | (25) ! [v0: int] : ! [v1: int] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 |
% 86.53/12.28 | ~ (length2(v3, v2) = v1) | ~ (length2(v3, v2) = v0))
% 86.53/12.28 | (26) ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 |
% 86.53/12.28 | ~ (elts(v3, v2) = v1) | ~ (elts(v3, v2) = v0))
% 86.53/12.28 | (27) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: int]
% 86.53/12.28 | : ! [v3: int] : ! [v4: uni] : ! [v5: uni] : ! [v6: ty] : (v1 = v0
% 86.53/12.28 | | ~ (map_eq_sub1(v6, v5, v4, v3, v2) = v1) | ~ (map_eq_sub1(v6,
% 86.53/12.28 | v5, v4, v3, v2) = v0))
% 86.53/12.28 |
% 86.53/12.28 | DELTA: instantiating (wP_parameter_partition_) with fresh symbols all_105_0,
% 86.53/12.28 | all_105_1, all_105_2, all_105_3, all_105_4, all_105_5, all_105_6,
% 86.53/12.28 | all_105_7, all_105_8, all_105_9, all_105_10, all_105_11, all_105_12,
% 86.53/12.28 | all_105_13, all_105_14, all_105_15, all_105_16 gives:
% 86.53/12.29 | (28) $lesseq(1, $difference(all_105_10, all_105_0)) & $lesseq(all_105_1,
% 86.53/12.29 | all_105_13) & $lesseq(all_105_8, all_105_1) & $lesseq(all_105_9,
% 86.53/12.29 | all_105_8) & $lesseq(all_105_11, all_105_8) & $lesseq(1,
% 86.53/12.29 | $difference(all_105_9, all_105_11)) & $lesseq(all_105_14, all_105_9)
% 86.53/12.29 | & $lesseq(1, $difference(all_105_16, all_105_11)) &
% 86.53/12.29 | $lesseq(all_105_14, all_105_11) & $lesseq(0, all_105_11) & $lesseq(1,
% 86.53/12.29 | $difference(all_105_16, all_105_13)) & $lesseq(0, all_105_14) &
% 86.53/12.29 | permut_sub2(all_105_6, all_105_2, all_105_14, $sum(all_105_13, 1)) = 0
% 86.53/12.29 | & permut_sub2(all_105_12, all_105_6, all_105_14, $sum(all_105_13, 1))
% 86.53/12.29 | = 0 & permut_sub2(all_105_12, all_105_12, all_105_14, $sum(all_105_13,
% 86.53/12.29 | 1)) = 0 & exchange4(all_105_6, all_105_2, all_105_11, all_105_9) =
% 86.53/12.29 | 0 & mk_array3(all_105_16, all_105_3) = all_105_2 &
% 86.53/12.29 | mk_array3(all_105_16, all_105_7) = all_105_6 & mk_array3(all_105_16,
% 86.53/12.29 | all_105_15) = all_105_12 & get3(all_105_3, all_105_1) = all_105_0 &
% 86.53/12.29 | get3(all_105_7, all_105_8) = all_105_5 & get3(all_105_7, all_105_9) =
% 86.53/12.29 | all_105_4 & get3(all_105_7, all_105_11) = all_105_10 &
% 86.53/12.29 | get3(all_105_15, all_105_11) = all_105_10 & array_int(all_105_2) &
% 86.53/12.29 | array_int(all_105_6) & array_int(all_105_12) & map_int_int(all_105_3)
% 86.53/12.29 | & map_int_int(all_105_7) & map_int_int(all_105_15) & ! [v0: int] : !
% 86.53/12.29 | [v1: int] : ( ~ ($lesseq(1, $difference(all_105_10, v1))) | ~
% 86.53/12.29 | ($lesseq(v0, all_105_13)) | ~ ($lesseq(1, $difference(v0,
% 86.53/12.29 | all_105_9))) | ~ (get3(all_105_7, v0) = v1)) & ! [v0: int] :
% 86.53/12.29 | ! [v1: int] : ( ~ ($lesseq(1, $difference(v1, all_105_10))) | ~
% 86.53/12.29 | ($lesseq(1, $difference(all_105_8, v0))) | ~ ($lesseq(all_105_14,
% 86.53/12.29 | v0)) | ~ (get3(all_105_7, v0) = v1)) & ( ~ (all_105_8 =
% 86.53/12.29 | all_105_9) | ~ ($lesseq(1, $difference(all_105_13, all_105_9))) |
% 86.53/12.29 | ~ ($lesseq(1, $difference(all_105_9, all_105_14)))) & ( ~
% 86.53/12.29 | ($lesseq(all_105_10, all_105_4)) | ~ ($lesseq(1,
% 86.53/12.29 | $difference(all_105_9, all_105_14)))) & ( ~ ($lesseq(all_105_5,
% 86.53/12.29 | all_105_10)) | ~ ($lesseq(1, $difference(all_105_13,
% 86.53/12.29 | all_105_8))))
% 86.53/12.29 |
% 86.53/12.29 | ALPHA: (28) implies:
% 86.53/12.29 | (29) $lesseq(0, all_105_14)
% 86.53/12.29 | (30) $lesseq(all_105_14, all_105_11)
% 86.53/12.29 | (31) $lesseq(all_105_14, all_105_9)
% 86.53/12.29 | (32) $lesseq(1, $difference(all_105_9, all_105_11))
% 86.53/12.29 | (33) $lesseq(all_105_11, all_105_8)
% 86.53/12.29 | (34) $lesseq(all_105_9, all_105_8)
% 86.53/12.29 | (35) $lesseq(all_105_8, all_105_1)
% 86.53/12.29 | (36) $lesseq(all_105_1, all_105_13)
% 86.53/12.29 | (37) $lesseq(1, $difference(all_105_10, all_105_0))
% 86.53/12.29 | (38) map_int_int(all_105_15)
% 86.53/12.29 | (39) map_int_int(all_105_7)
% 86.53/12.29 | (40) map_int_int(all_105_3)
% 86.53/12.29 | (41) array_int(all_105_12)
% 86.53/12.29 | (42) array_int(all_105_6)
% 86.53/12.29 | (43) array_int(all_105_2)
% 86.53/12.29 | (44) get3(all_105_7, all_105_11) = all_105_10
% 86.53/12.29 | (45) get3(all_105_7, all_105_9) = all_105_4
% 86.53/12.29 | (46) get3(all_105_7, all_105_8) = all_105_5
% 86.53/12.29 | (47) get3(all_105_3, all_105_1) = all_105_0
% 86.53/12.29 | (48) mk_array3(all_105_16, all_105_15) = all_105_12
% 86.53/12.29 | (49) mk_array3(all_105_16, all_105_7) = all_105_6
% 86.53/12.29 | (50) mk_array3(all_105_16, all_105_3) = all_105_2
% 86.53/12.29 | (51) exchange4(all_105_6, all_105_2, all_105_11, all_105_9) = 0
% 86.53/12.29 | (52) permut_sub2(all_105_12, all_105_12, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.29 | 0
% 86.53/12.29 | (53) permut_sub2(all_105_12, all_105_6, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.29 | 0
% 86.53/12.29 | (54) permut_sub2(all_105_6, all_105_2, all_105_14, $sum(all_105_13, 1)) = 0
% 86.53/12.29 | (55) ~ ($lesseq(all_105_5, all_105_10)) | ~ ($lesseq(1,
% 86.53/12.29 | $difference(all_105_13, all_105_8)))
% 86.53/12.29 | (56) ~ ($lesseq(all_105_10, all_105_4)) | ~ ($lesseq(1,
% 86.53/12.29 | $difference(all_105_9, all_105_14)))
% 86.53/12.29 | (57) ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(1, $difference(all_105_10,
% 86.53/12.29 | v1))) | ~ ($lesseq(v0, all_105_13)) | ~ ($lesseq(1,
% 86.53/12.29 | $difference(v0, all_105_9))) | ~ (get3(all_105_7, v0) = v1))
% 86.53/12.29 |
% 86.53/12.29 | GROUND_INST: instantiating (24) with all_105_4, all_105_5, all_105_9,
% 86.53/12.29 | all_105_7, simplifying with (45) gives:
% 86.53/12.29 | (58) all_105_4 = all_105_5 | ~ (get3(all_105_7, all_105_9) = all_105_5)
% 86.53/12.29 |
% 86.53/12.29 | GROUND_INST: instantiating (24) with all_105_10, all_105_5, all_105_11,
% 86.53/12.29 | all_105_7, simplifying with (44) gives:
% 86.53/12.29 | (59) all_105_5 = all_105_10 | ~ (get3(all_105_7, all_105_11) = all_105_5)
% 86.53/12.29 |
% 86.53/12.29 | GROUND_INST: instantiating (57) with all_105_8, all_105_5, simplifying with
% 86.53/12.29 | (46) gives:
% 86.53/12.29 | (60) ~ ($lesseq(1, $difference(all_105_10, all_105_5))) | ~
% 86.53/12.29 | ($lesseq(all_105_8, all_105_13)) | ~ ($lesseq(1,
% 86.53/12.29 | $difference(all_105_8, all_105_9)))
% 86.53/12.29 |
% 86.53/12.29 | GROUND_INST: instantiating (2) with all_105_16, all_105_15, all_105_12,
% 86.53/12.29 | simplifying with (38), (48) gives:
% 86.53/12.29 | (61) ? [v0: uni] : ? [v1: uni] : (elts(int, v0) = v1 & t2tb2(all_105_12)
% 86.53/12.29 | = v0 & tb2t(v1) = all_105_15 & uni(v1) & uni(v0))
% 86.53/12.29 |
% 86.53/12.29 | GROUND_INST: instantiating (1) with all_105_16, all_105_15, all_105_12,
% 86.53/12.29 | simplifying with (38), (48) gives:
% 86.53/12.29 | (62) ? [v0: uni] : (length2(int, v0) = all_105_16 & t2tb2(all_105_12) = v0
% 86.53/12.29 | & uni(v0))
% 86.53/12.29 |
% 86.53/12.29 | GROUND_INST: instantiating (2) with all_105_16, all_105_7, all_105_6,
% 86.53/12.29 | simplifying with (39), (49) gives:
% 86.53/12.29 | (63) ? [v0: uni] : ? [v1: uni] : (elts(int, v0) = v1 & t2tb2(all_105_6) =
% 86.53/12.29 | v0 & tb2t(v1) = all_105_7 & uni(v1) & uni(v0))
% 86.53/12.29 |
% 86.53/12.29 | GROUND_INST: instantiating (1) with all_105_16, all_105_7, all_105_6,
% 86.53/12.29 | simplifying with (39), (49) gives:
% 86.53/12.29 | (64) ? [v0: uni] : (length2(int, v0) = all_105_16 & t2tb2(all_105_6) = v0
% 86.53/12.29 | & uni(v0))
% 86.53/12.29 |
% 86.53/12.30 | GROUND_INST: instantiating (2) with all_105_16, all_105_3, all_105_2,
% 86.53/12.30 | simplifying with (40), (50) gives:
% 86.53/12.30 | (65) ? [v0: uni] : ? [v1: uni] : (elts(int, v0) = v1 & t2tb2(all_105_2) =
% 86.53/12.30 | v0 & tb2t(v1) = all_105_3 & uni(v1) & uni(v0))
% 86.53/12.30 |
% 86.53/12.30 | GROUND_INST: instantiating (1) with all_105_16, all_105_3, all_105_2,
% 86.53/12.30 | simplifying with (40), (50) gives:
% 86.53/12.30 | (66) ? [v0: uni] : (length2(int, v0) = all_105_16 & t2tb2(all_105_2) = v0
% 86.53/12.30 | & uni(v0))
% 86.53/12.30 |
% 86.53/12.30 | GROUND_INST: instantiating (13) with all_105_6, all_105_2, all_105_11,
% 86.53/12.30 | all_105_9, simplifying with (42), (43), (51) gives:
% 86.53/12.30 | (67) ? [v0: uni] : ? [v1: int] : ? [v2: uni] : ? [v3: uni] : ? [v4:
% 86.53/12.30 | uni] : (exchange2(int, v3, v4, 0, v1, all_105_11, all_105_9) = 0 &
% 86.53/12.30 | elts(int, v2) = v4 & elts(int, v0) = v3 & length2(int, v2) = v1 &
% 86.53/12.30 | length2(int, v0) = v1 & t2tb2(all_105_2) = v2 & t2tb2(all_105_6) =
% 86.53/12.30 | v0 & uni(v4) & uni(v3) & uni(v2) & uni(v0))
% 86.53/12.30 |
% 86.53/12.30 | GROUND_INST: instantiating (22) with all_105_6, all_105_2, all_105_11,
% 86.53/12.30 | all_105_9, simplifying with (42), (43), (51) gives:
% 86.53/12.30 | (68) ? [v0: uni] : ? [v1: uni] : (permut_all(int, v0, v1) = 0 &
% 86.53/12.30 | t2tb2(all_105_2) = v1 & t2tb2(all_105_6) = v0 & uni(v1) & uni(v0))
% 86.53/12.30 |
% 86.53/12.30 | GROUND_INST: instantiating (17) with all_105_12, all_105_12, all_105_14,
% 86.53/12.30 | $sum(all_105_13, 1), simplifying with (41), (52) gives:
% 86.53/12.30 | (69) ? [v0: uni] : ? [v1: uni] : ? [v2: uni] : ? [v3: uni] : ? [v4:
% 86.53/12.30 | int] : (permut3(int, v0, v2, all_105_14, $sum(all_105_13, 1)) = 0 &
% 86.53/12.30 | map_eq_sub1(int, v1, v3, $sum(all_105_13, 1), v4) = 0 &
% 86.53/12.30 | map_eq_sub1(int, v1, v3, 0, all_105_14) = 0 & elts(int, v2) = v3 &
% 86.53/12.30 | elts(int, v0) = v1 & length2(int, v0) = v4 & t2tb2(all_105_12) = v2
% 86.53/12.30 | & t2tb2(all_105_12) = v0 & uni(v3) & uni(v2) & uni(v1) & uni(v0))
% 86.53/12.30 |
% 86.53/12.30 | GROUND_INST: instantiating (17) with all_105_12, all_105_6, all_105_14,
% 86.53/12.30 | $sum(all_105_13, 1), simplifying with (41), (42), (53) gives:
% 86.53/12.30 | (70) ? [v0: uni] : ? [v1: uni] : ? [v2: uni] : ? [v3: uni] : ? [v4:
% 86.53/12.30 | int] : (permut3(int, v0, v2, all_105_14, $sum(all_105_13, 1)) = 0 &
% 86.53/12.30 | map_eq_sub1(int, v1, v3, $sum(all_105_13, 1), v4) = 0 &
% 86.53/12.30 | map_eq_sub1(int, v1, v3, 0, all_105_14) = 0 & elts(int, v2) = v3 &
% 86.53/12.30 | elts(int, v0) = v1 & length2(int, v0) = v4 & t2tb2(all_105_6) = v2 &
% 86.53/12.30 | t2tb2(all_105_12) = v0 & uni(v3) & uni(v2) & uni(v1) & uni(v0))
% 86.53/12.30 |
% 86.53/12.30 | GROUND_INST: instantiating (17) with all_105_6, all_105_2, all_105_14,
% 86.53/12.30 | $sum(all_105_13, 1), simplifying with (42), (43), (54) gives:
% 86.53/12.30 | (71) ? [v0: uni] : ? [v1: uni] : ? [v2: uni] : ? [v3: uni] : ? [v4:
% 86.53/12.30 | int] : (permut3(int, v0, v2, all_105_14, $sum(all_105_13, 1)) = 0 &
% 86.53/12.30 | map_eq_sub1(int, v1, v3, $sum(all_105_13, 1), v4) = 0 &
% 86.53/12.30 | map_eq_sub1(int, v1, v3, 0, all_105_14) = 0 & elts(int, v2) = v3 &
% 86.53/12.30 | elts(int, v0) = v1 & length2(int, v0) = v4 & t2tb2(all_105_2) = v2 &
% 86.53/12.30 | t2tb2(all_105_6) = v0 & uni(v3) & uni(v2) & uni(v1) & uni(v0))
% 86.53/12.30 |
% 86.53/12.30 | DELTA: instantiating (66) with fresh symbol all_116_0 gives:
% 86.53/12.30 | (72) length2(int, all_116_0) = all_105_16 & t2tb2(all_105_2) = all_116_0 &
% 86.53/12.30 | uni(all_116_0)
% 86.53/12.30 |
% 86.53/12.30 | ALPHA: (72) implies:
% 86.53/12.30 | (73) t2tb2(all_105_2) = all_116_0
% 86.53/12.30 |
% 86.53/12.30 | DELTA: instantiating (64) with fresh symbol all_118_0 gives:
% 86.53/12.30 | (74) length2(int, all_118_0) = all_105_16 & t2tb2(all_105_6) = all_118_0 &
% 86.53/12.30 | uni(all_118_0)
% 86.53/12.30 |
% 86.53/12.30 | ALPHA: (74) implies:
% 86.53/12.30 | (75) t2tb2(all_105_6) = all_118_0
% 86.53/12.30 | (76) length2(int, all_118_0) = all_105_16
% 86.53/12.30 |
% 86.53/12.30 | DELTA: instantiating (62) with fresh symbol all_120_0 gives:
% 86.53/12.30 | (77) length2(int, all_120_0) = all_105_16 & t2tb2(all_105_12) = all_120_0 &
% 86.53/12.30 | uni(all_120_0)
% 86.53/12.30 |
% 86.53/12.30 | ALPHA: (77) implies:
% 86.53/12.30 | (78) t2tb2(all_105_12) = all_120_0
% 86.53/12.30 | (79) length2(int, all_120_0) = all_105_16
% 86.53/12.30 |
% 86.53/12.30 | DELTA: instantiating (61) with fresh symbols all_122_0, all_122_1 gives:
% 86.53/12.30 | (80) elts(int, all_122_1) = all_122_0 & t2tb2(all_105_12) = all_122_1 &
% 86.53/12.30 | tb2t(all_122_0) = all_105_15 & uni(all_122_0) & uni(all_122_1)
% 86.53/12.30 |
% 86.53/12.30 | ALPHA: (80) implies:
% 86.53/12.30 | (81) uni(all_122_1)
% 86.53/12.30 | (82) tb2t(all_122_0) = all_105_15
% 86.53/12.30 | (83) t2tb2(all_105_12) = all_122_1
% 86.53/12.30 | (84) elts(int, all_122_1) = all_122_0
% 86.53/12.30 |
% 86.53/12.30 | DELTA: instantiating (65) with fresh symbols all_124_0, all_124_1 gives:
% 86.53/12.30 | (85) elts(int, all_124_1) = all_124_0 & t2tb2(all_105_2) = all_124_1 &
% 86.53/12.30 | tb2t(all_124_0) = all_105_3 & uni(all_124_0) & uni(all_124_1)
% 86.53/12.30 |
% 86.53/12.30 | ALPHA: (85) implies:
% 86.53/12.30 | (86) uni(all_124_1)
% 86.53/12.30 | (87) tb2t(all_124_0) = all_105_3
% 86.53/12.30 | (88) t2tb2(all_105_2) = all_124_1
% 86.53/12.30 | (89) elts(int, all_124_1) = all_124_0
% 86.53/12.30 |
% 86.53/12.30 | DELTA: instantiating (68) with fresh symbols all_126_0, all_126_1 gives:
% 86.53/12.30 | (90) permut_all(int, all_126_1, all_126_0) = 0 & t2tb2(all_105_2) =
% 86.53/12.30 | all_126_0 & t2tb2(all_105_6) = all_126_1 & uni(all_126_0) &
% 86.53/12.30 | uni(all_126_1)
% 86.53/12.30 |
% 86.53/12.30 | ALPHA: (90) implies:
% 86.53/12.30 | (91) uni(all_126_1)
% 86.53/12.30 | (92) t2tb2(all_105_6) = all_126_1
% 86.53/12.30 | (93) t2tb2(all_105_2) = all_126_0
% 86.53/12.30 | (94) permut_all(int, all_126_1, all_126_0) = 0
% 86.53/12.30 |
% 86.53/12.30 | DELTA: instantiating (63) with fresh symbols all_128_0, all_128_1 gives:
% 86.53/12.30 | (95) elts(int, all_128_1) = all_128_0 & t2tb2(all_105_6) = all_128_1 &
% 86.53/12.30 | tb2t(all_128_0) = all_105_7 & uni(all_128_0) & uni(all_128_1)
% 86.53/12.30 |
% 86.53/12.30 | ALPHA: (95) implies:
% 86.53/12.30 | (96) tb2t(all_128_0) = all_105_7
% 86.53/12.30 | (97) t2tb2(all_105_6) = all_128_1
% 86.53/12.31 | (98) elts(int, all_128_1) = all_128_0
% 86.53/12.31 |
% 86.53/12.31 | DELTA: instantiating (67) with fresh symbols all_130_0, all_130_1, all_130_2,
% 86.53/12.31 | all_130_3, all_130_4 gives:
% 86.53/12.31 | (99) exchange2(int, all_130_1, all_130_0, 0, all_130_3, all_105_11,
% 86.53/12.31 | all_105_9) = 0 & elts(int, all_130_2) = all_130_0 & elts(int,
% 86.53/12.31 | all_130_4) = all_130_1 & length2(int, all_130_2) = all_130_3 &
% 86.53/12.31 | length2(int, all_130_4) = all_130_3 & t2tb2(all_105_2) = all_130_2 &
% 86.53/12.31 | t2tb2(all_105_6) = all_130_4 & uni(all_130_0) & uni(all_130_1) &
% 86.53/12.31 | uni(all_130_2) & uni(all_130_4)
% 86.53/12.31 |
% 86.53/12.31 | ALPHA: (99) implies:
% 86.53/12.31 | (100) uni(all_130_1)
% 86.53/12.31 | (101) uni(all_130_0)
% 86.53/12.31 | (102) t2tb2(all_105_6) = all_130_4
% 86.53/12.31 | (103) t2tb2(all_105_2) = all_130_2
% 86.53/12.31 | (104) length2(int, all_130_4) = all_130_3
% 86.53/12.31 | (105) length2(int, all_130_2) = all_130_3
% 86.53/12.31 | (106) elts(int, all_130_4) = all_130_1
% 86.53/12.31 | (107) elts(int, all_130_2) = all_130_0
% 86.53/12.31 | (108) exchange2(int, all_130_1, all_130_0, 0, all_130_3, all_105_11,
% 86.53/12.31 | all_105_9) = 0
% 86.53/12.31 |
% 86.53/12.31 | DELTA: instantiating (71) with fresh symbols all_132_0, all_132_1, all_132_2,
% 86.53/12.31 | all_132_3, all_132_4 gives:
% 86.53/12.31 | (109) permut3(int, all_132_4, all_132_2, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.31 | 0 & map_eq_sub1(int, all_132_3, all_132_1, $sum(all_105_13, 1),
% 86.53/12.31 | all_132_0) = 0 & map_eq_sub1(int, all_132_3, all_132_1, 0,
% 86.53/12.31 | all_105_14) = 0 & elts(int, all_132_2) = all_132_1 & elts(int,
% 86.53/12.31 | all_132_4) = all_132_3 & length2(int, all_132_4) = all_132_0 &
% 86.53/12.31 | t2tb2(all_105_2) = all_132_2 & t2tb2(all_105_6) = all_132_4 &
% 86.53/12.31 | uni(all_132_1) & uni(all_132_2) & uni(all_132_3) & uni(all_132_4)
% 86.53/12.31 |
% 86.53/12.31 | ALPHA: (109) implies:
% 86.53/12.31 | (110) t2tb2(all_105_6) = all_132_4
% 86.53/12.31 | (111) t2tb2(all_105_2) = all_132_2
% 86.53/12.31 | (112) length2(int, all_132_4) = all_132_0
% 86.53/12.31 | (113) elts(int, all_132_4) = all_132_3
% 86.53/12.31 | (114) elts(int, all_132_2) = all_132_1
% 86.53/12.31 | (115) map_eq_sub1(int, all_132_3, all_132_1, 0, all_105_14) = 0
% 86.53/12.31 | (116) map_eq_sub1(int, all_132_3, all_132_1, $sum(all_105_13, 1),
% 86.53/12.31 | all_132_0) = 0
% 86.53/12.31 | (117) permut3(int, all_132_4, all_132_2, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.31 | 0
% 86.53/12.31 |
% 86.53/12.31 | DELTA: instantiating (70) with fresh symbols all_134_0, all_134_1, all_134_2,
% 86.53/12.31 | all_134_3, all_134_4 gives:
% 86.53/12.31 | (118) permut3(int, all_134_4, all_134_2, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.31 | 0 & map_eq_sub1(int, all_134_3, all_134_1, $sum(all_105_13, 1),
% 86.53/12.31 | all_134_0) = 0 & map_eq_sub1(int, all_134_3, all_134_1, 0,
% 86.53/12.31 | all_105_14) = 0 & elts(int, all_134_2) = all_134_1 & elts(int,
% 86.53/12.31 | all_134_4) = all_134_3 & length2(int, all_134_4) = all_134_0 &
% 86.53/12.31 | t2tb2(all_105_6) = all_134_2 & t2tb2(all_105_12) = all_134_4 &
% 86.53/12.31 | uni(all_134_1) & uni(all_134_2) & uni(all_134_3) & uni(all_134_4)
% 86.53/12.31 |
% 86.53/12.31 | ALPHA: (118) implies:
% 86.53/12.31 | (119) uni(all_134_3)
% 86.53/12.31 | (120) t2tb2(all_105_12) = all_134_4
% 86.53/12.31 | (121) t2tb2(all_105_6) = all_134_2
% 86.53/12.31 | (122) length2(int, all_134_4) = all_134_0
% 86.53/12.31 | (123) elts(int, all_134_4) = all_134_3
% 86.53/12.31 | (124) elts(int, all_134_2) = all_134_1
% 86.53/12.31 | (125) map_eq_sub1(int, all_134_3, all_134_1, 0, all_105_14) = 0
% 86.53/12.31 | (126) map_eq_sub1(int, all_134_3, all_134_1, $sum(all_105_13, 1),
% 86.53/12.31 | all_134_0) = 0
% 86.53/12.31 | (127) permut3(int, all_134_4, all_134_2, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.31 | 0
% 86.53/12.31 |
% 86.53/12.31 | DELTA: instantiating (69) with fresh symbols all_136_0, all_136_1, all_136_2,
% 86.53/12.31 | all_136_3, all_136_4 gives:
% 86.53/12.31 | (128) permut3(int, all_136_4, all_136_2, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.31 | 0 & map_eq_sub1(int, all_136_3, all_136_1, $sum(all_105_13, 1),
% 86.53/12.31 | all_136_0) = 0 & map_eq_sub1(int, all_136_3, all_136_1, 0,
% 86.53/12.31 | all_105_14) = 0 & elts(int, all_136_2) = all_136_1 & elts(int,
% 86.53/12.31 | all_136_4) = all_136_3 & length2(int, all_136_4) = all_136_0 &
% 86.53/12.31 | t2tb2(all_105_12) = all_136_2 & t2tb2(all_105_12) = all_136_4 &
% 86.53/12.31 | uni(all_136_1) & uni(all_136_2) & uni(all_136_3) & uni(all_136_4)
% 86.53/12.31 |
% 86.53/12.31 | ALPHA: (128) implies:
% 86.53/12.31 | (129) t2tb2(all_105_12) = all_136_4
% 86.53/12.31 | (130) t2tb2(all_105_12) = all_136_2
% 86.53/12.31 | (131) length2(int, all_136_4) = all_136_0
% 86.53/12.31 | (132) elts(int, all_136_4) = all_136_3
% 86.53/12.31 | (133) elts(int, all_136_2) = all_136_1
% 86.53/12.31 | (134) map_eq_sub1(int, all_136_3, all_136_1, 0, all_105_14) = 0
% 86.53/12.31 | (135) map_eq_sub1(int, all_136_3, all_136_1, $sum(all_105_13, 1),
% 86.53/12.31 | all_136_0) = 0
% 86.53/12.31 | (136) permut3(int, all_136_4, all_136_2, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.31 | 0
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_122_1, all_134_4, all_105_12,
% 86.53/12.31 | simplifying with (83), (120) gives:
% 86.53/12.31 | (137) all_134_4 = all_122_1
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_134_4, all_136_4, all_105_12,
% 86.53/12.31 | simplifying with (120), (129) gives:
% 86.53/12.31 | (138) all_136_4 = all_134_4
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_136_4, all_136_2, all_105_12,
% 86.53/12.31 | simplifying with (129), (130) gives:
% 86.53/12.31 | (139) all_136_2 = all_136_4
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_120_0, all_136_2, all_105_12,
% 86.53/12.31 | simplifying with (78), (130) gives:
% 86.53/12.31 | (140) all_136_2 = all_120_0
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_126_1, all_130_4, all_105_6,
% 86.53/12.31 | simplifying with (92), (102) gives:
% 86.53/12.31 | (141) all_130_4 = all_126_1
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_118_0, all_130_4, all_105_6,
% 86.53/12.31 | simplifying with (75), (102) gives:
% 86.53/12.31 | (142) all_130_4 = all_118_0
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_130_4, all_132_4, all_105_6,
% 86.53/12.31 | simplifying with (102), (110) gives:
% 86.53/12.31 | (143) all_132_4 = all_130_4
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_132_4, all_134_2, all_105_6,
% 86.53/12.31 | simplifying with (110), (121) gives:
% 86.53/12.31 | (144) all_134_2 = all_132_4
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_128_1, all_134_2, all_105_6,
% 86.53/12.31 | simplifying with (97), (121) gives:
% 86.53/12.31 | (145) all_134_2 = all_128_1
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_126_0, all_130_2, all_105_2,
% 86.53/12.31 | simplifying with (93), (103) gives:
% 86.53/12.31 | (146) all_130_2 = all_126_0
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_116_0, all_130_2, all_105_2,
% 86.53/12.31 | simplifying with (73), (103) gives:
% 86.53/12.31 | (147) all_130_2 = all_116_0
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_130_2, all_132_2, all_105_2,
% 86.53/12.31 | simplifying with (103), (111) gives:
% 86.53/12.31 | (148) all_132_2 = all_130_2
% 86.53/12.31 |
% 86.53/12.31 | GROUND_INST: instantiating (23) with all_124_1, all_132_2, all_105_2,
% 86.53/12.31 | simplifying with (88), (111) gives:
% 86.53/12.31 | (149) all_132_2 = all_124_1
% 86.53/12.31 |
% 86.53/12.31 | COMBINE_EQS: (139), (140) imply:
% 86.53/12.31 | (150) all_136_4 = all_120_0
% 86.53/12.31 |
% 86.53/12.31 | SIMP: (150) implies:
% 86.53/12.31 | (151) all_136_4 = all_120_0
% 86.53/12.31 |
% 86.53/12.31 | COMBINE_EQS: (138), (151) imply:
% 86.53/12.31 | (152) all_134_4 = all_120_0
% 86.53/12.31 |
% 86.53/12.31 | SIMP: (152) implies:
% 86.53/12.31 | (153) all_134_4 = all_120_0
% 86.53/12.31 |
% 86.53/12.31 | COMBINE_EQS: (144), (145) imply:
% 86.53/12.31 | (154) all_132_4 = all_128_1
% 86.53/12.31 |
% 86.53/12.31 | SIMP: (154) implies:
% 86.53/12.32 | (155) all_132_4 = all_128_1
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (137), (153) imply:
% 86.53/12.32 | (156) all_122_1 = all_120_0
% 86.53/12.32 |
% 86.53/12.32 | SIMP: (156) implies:
% 86.53/12.32 | (157) all_122_1 = all_120_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (148), (149) imply:
% 86.53/12.32 | (158) all_130_2 = all_124_1
% 86.53/12.32 |
% 86.53/12.32 | SIMP: (158) implies:
% 86.53/12.32 | (159) all_130_2 = all_124_1
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (143), (155) imply:
% 86.53/12.32 | (160) all_130_4 = all_128_1
% 86.53/12.32 |
% 86.53/12.32 | SIMP: (160) implies:
% 86.53/12.32 | (161) all_130_4 = all_128_1
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (146), (147) imply:
% 86.53/12.32 | (162) all_126_0 = all_116_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (146), (159) imply:
% 86.53/12.32 | (163) all_126_0 = all_124_1
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (141), (161) imply:
% 86.53/12.32 | (164) all_128_1 = all_126_1
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (142), (161) imply:
% 86.53/12.32 | (165) all_128_1 = all_118_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (164), (165) imply:
% 86.53/12.32 | (166) all_126_1 = all_118_0
% 86.53/12.32 |
% 86.53/12.32 | SIMP: (166) implies:
% 86.53/12.32 | (167) all_126_1 = all_118_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (162), (163) imply:
% 86.53/12.32 | (168) all_124_1 = all_116_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (155), (165) imply:
% 86.53/12.32 | (169) all_132_4 = all_118_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (149), (168) imply:
% 86.53/12.32 | (170) all_132_2 = all_116_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (145), (165) imply:
% 86.53/12.32 | (171) all_134_2 = all_118_0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (94), (162), (167) imply:
% 86.53/12.32 | (172) permut_all(int, all_118_0, all_116_0) = 0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (136), (140), (151) imply:
% 86.53/12.32 | (173) permut3(int, all_120_0, all_120_0, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.32 | 0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (127), (153), (171) imply:
% 86.53/12.32 | (174) permut3(int, all_120_0, all_118_0, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.32 | 0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (117), (169), (170) imply:
% 86.53/12.32 | (175) permut3(int, all_118_0, all_116_0, all_105_14, $sum(all_105_13, 1)) =
% 86.53/12.32 | 0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (133), (140) imply:
% 86.53/12.32 | (176) elts(int, all_120_0) = all_136_1
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (132), (151) imply:
% 86.53/12.32 | (177) elts(int, all_120_0) = all_136_3
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (124), (171) imply:
% 86.53/12.32 | (178) elts(int, all_118_0) = all_134_1
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (123), (153) imply:
% 86.53/12.32 | (179) elts(int, all_120_0) = all_134_3
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (114), (170) imply:
% 86.53/12.32 | (180) elts(int, all_116_0) = all_132_1
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (113), (169) imply:
% 86.53/12.32 | (181) elts(int, all_118_0) = all_132_3
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (107), (147) imply:
% 86.53/12.32 | (182) elts(int, all_116_0) = all_130_0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (106), (142) imply:
% 86.53/12.32 | (183) elts(int, all_118_0) = all_130_1
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (98), (165) imply:
% 86.53/12.32 | (184) elts(int, all_118_0) = all_128_0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (89), (168) imply:
% 86.53/12.32 | (185) elts(int, all_116_0) = all_124_0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (84), (157) imply:
% 86.53/12.32 | (186) elts(int, all_120_0) = all_122_0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (131), (151) imply:
% 86.53/12.32 | (187) length2(int, all_120_0) = all_136_0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (122), (153) imply:
% 86.53/12.32 | (188) length2(int, all_120_0) = all_134_0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (112), (169) imply:
% 86.53/12.32 | (189) length2(int, all_118_0) = all_132_0
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (105), (147) imply:
% 86.53/12.32 | (190) length2(int, all_116_0) = all_130_3
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (104), (142) imply:
% 86.53/12.32 | (191) length2(int, all_118_0) = all_130_3
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (91), (167) imply:
% 86.53/12.32 | (192) uni(all_118_0)
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (86), (168) imply:
% 86.53/12.32 | (193) uni(all_116_0)
% 86.53/12.32 |
% 86.53/12.32 | REDUCE: (81), (157) imply:
% 86.53/12.32 | (194) uni(all_120_0)
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (25) with all_105_16, all_132_0, all_118_0, int,
% 86.53/12.32 | simplifying with (76), (189) gives:
% 86.53/12.32 | (195) all_132_0 = all_105_16
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (25) with all_130_3, all_132_0, all_118_0, int,
% 86.53/12.32 | simplifying with (189), (191) gives:
% 86.53/12.32 | (196) all_132_0 = all_130_3
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (25) with all_105_16, all_136_0, all_120_0, int,
% 86.53/12.32 | simplifying with (79), (187) gives:
% 86.53/12.32 | (197) all_136_0 = all_105_16
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (25) with all_134_0, all_136_0, all_120_0, int,
% 86.53/12.32 | simplifying with (187), (188) gives:
% 86.53/12.32 | (198) all_136_0 = all_134_0
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (26) with all_130_0, all_132_1, all_116_0, int,
% 86.53/12.32 | simplifying with (180), (182) gives:
% 86.53/12.32 | (199) all_132_1 = all_130_0
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (26) with all_124_0, all_132_1, all_116_0, int,
% 86.53/12.32 | simplifying with (180), (185) gives:
% 86.53/12.32 | (200) all_132_1 = all_124_0
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (26) with all_132_3, all_134_1, all_118_0, int,
% 86.53/12.32 | simplifying with (178), (181) gives:
% 86.53/12.32 | (201) all_134_1 = all_132_3
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (26) with all_130_1, all_134_1, all_118_0, int,
% 86.53/12.32 | simplifying with (178), (183) gives:
% 86.53/12.32 | (202) all_134_1 = all_130_1
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (26) with all_128_0, all_134_1, all_118_0, int,
% 86.53/12.32 | simplifying with (178), (184) gives:
% 86.53/12.32 | (203) all_134_1 = all_128_0
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (26) with all_134_3, all_136_3, all_120_0, int,
% 86.53/12.32 | simplifying with (177), (179) gives:
% 86.53/12.32 | (204) all_136_3 = all_134_3
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (26) with all_136_3, all_136_1, all_120_0, int,
% 86.53/12.32 | simplifying with (176), (177) gives:
% 86.53/12.32 | (205) all_136_1 = all_136_3
% 86.53/12.32 |
% 86.53/12.32 | GROUND_INST: instantiating (26) with all_122_0, all_136_1, all_120_0, int,
% 86.53/12.32 | simplifying with (176), (186) gives:
% 86.53/12.32 | (206) all_136_1 = all_122_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (197), (198) imply:
% 86.53/12.32 | (207) all_134_0 = all_105_16
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (205), (206) imply:
% 86.53/12.32 | (208) all_136_3 = all_122_0
% 86.53/12.32 |
% 86.53/12.32 | SIMP: (208) implies:
% 86.53/12.32 | (209) all_136_3 = all_122_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (204), (209) imply:
% 86.53/12.32 | (210) all_134_3 = all_122_0
% 86.53/12.32 |
% 86.53/12.32 | SIMP: (210) implies:
% 86.53/12.32 | (211) all_134_3 = all_122_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (201), (202) imply:
% 86.53/12.32 | (212) all_132_3 = all_130_1
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (201), (203) imply:
% 86.53/12.32 | (213) all_132_3 = all_128_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (195), (196) imply:
% 86.53/12.32 | (214) all_130_3 = all_105_16
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (199), (200) imply:
% 86.53/12.32 | (215) all_130_0 = all_124_0
% 86.53/12.32 |
% 86.53/12.32 | COMBINE_EQS: (212), (213) imply:
% 86.53/12.32 | (216) all_130_1 = all_128_0
% 86.53/12.32 |
% 86.53/12.32 | SIMP: (216) implies:
% 86.53/12.32 | (217) all_130_1 = all_128_0
% 86.53/12.32 |
% 86.53/12.33 | REDUCE: (108), (214), (215), (217) imply:
% 86.53/12.33 | (218) exchange2(int, all_128_0, all_124_0, 0, all_105_16, all_105_11,
% 86.53/12.33 | all_105_9) = 0
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (135), (197), (206), (209) imply:
% 86.53/12.33 | (219) map_eq_sub1(int, all_122_0, all_122_0, $sum(all_105_13, 1),
% 86.53/12.33 | all_105_16) = 0
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (134), (206), (209) imply:
% 86.53/12.33 | (220) map_eq_sub1(int, all_122_0, all_122_0, 0, all_105_14) = 0
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (126), (203), (207), (211) imply:
% 86.53/12.33 | (221) map_eq_sub1(int, all_122_0, all_128_0, $sum(all_105_13, 1),
% 86.53/12.33 | all_105_16) = 0
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (125), (203), (211) imply:
% 86.53/12.33 | (222) map_eq_sub1(int, all_122_0, all_128_0, 0, all_105_14) = 0
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (116), (195), (200), (213) imply:
% 86.53/12.33 | (223) map_eq_sub1(int, all_128_0, all_124_0, $sum(all_105_13, 1),
% 86.53/12.33 | all_105_16) = 0
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (115), (200), (213) imply:
% 86.53/12.33 | (224) map_eq_sub1(int, all_128_0, all_124_0, 0, all_105_14) = 0
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (190), (214) imply:
% 86.53/12.33 | (225) length2(int, all_116_0) = all_105_16
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (119), (211) imply:
% 86.53/12.33 | (226) uni(all_122_0)
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (101), (215) imply:
% 86.53/12.33 | (227) uni(all_124_0)
% 86.53/12.33 |
% 86.53/12.33 | REDUCE: (100), (217) imply:
% 86.53/12.33 | (228) uni(all_128_0)
% 86.53/12.33 |
% 86.53/12.33 | GROUND_INST: instantiating (bridgeR) with all_122_0, all_105_15, simplifying
% 86.53/12.33 | with (82), (226) gives:
% 86.53/12.33 | (229) t2tb(all_105_15) = all_122_0
% 86.53/12.33 |
% 86.53/12.33 | GROUND_INST: instantiating (bridgeR) with all_124_0, all_105_3, simplifying
% 86.53/12.33 | with (87), (227) gives:
% 86.53/12.33 | (230) t2tb(all_105_3) = all_124_0
% 86.53/12.33 |
% 86.53/12.33 | GROUND_INST: instantiating (bridgeR) with all_128_0, all_105_7, simplifying
% 86.53/12.33 | with (96), (228) gives:
% 86.53/12.33 | (231) t2tb(all_105_7) = all_128_0
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (3) with int, all_116_0, all_105_16, simplifying
% 86.76/12.33 | with (21), (193), (225) gives:
% 86.76/12.33 | (232) ? [v0: uni] : (elts(int, all_116_0) = v0 & mk_array2(int,
% 86.76/12.33 | all_105_16, v0) = all_116_0 & uni(v0))
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (3) with int, all_120_0, all_105_16, simplifying
% 86.76/12.33 | with (21), (79), (194) gives:
% 86.76/12.33 | (233) ? [v0: uni] : (elts(int, all_120_0) = v0 & mk_array2(int,
% 86.76/12.33 | all_105_16, v0) = all_120_0 & uni(v0))
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (4) with int, all_116_0, all_124_0, simplifying
% 86.76/12.33 | with (21), (185), (193) gives:
% 86.76/12.33 | (234) ? [v0: int] : (length2(int, all_116_0) = v0 & mk_array2(int, v0,
% 86.76/12.33 | all_124_0) = all_116_0)
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (4) with int, all_118_0, all_128_0, simplifying
% 86.76/12.33 | with (21), (184), (192) gives:
% 86.76/12.33 | (235) ? [v0: int] : (length2(int, all_118_0) = v0 & mk_array2(int, v0,
% 86.76/12.33 | all_128_0) = all_118_0)
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (4) with int, all_120_0, all_122_0, simplifying
% 86.76/12.33 | with (21), (186), (194) gives:
% 86.76/12.33 | (236) ? [v0: int] : (length2(int, all_120_0) = v0 & mk_array2(int, v0,
% 86.76/12.33 | all_122_0) = all_120_0)
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (8) with int, all_120_0, all_120_0, 0, all_105_14,
% 86.76/12.33 | all_122_0, all_122_0, 0, simplifying with (21), (186), (194),
% 86.76/12.33 | (220) gives:
% 86.76/12.33 | (237) ? [v0: any] : ? [v1: int] : ? [v2: int] : (array_eq_sub1(int,
% 86.76/12.33 | all_120_0, all_120_0, 0, all_105_14) = v0 & length2(int,
% 86.76/12.33 | all_120_0) = v2 & length2(int, all_120_0) = v1 & ( ~ (v0 = 0) |
% 86.76/12.33 | (v2 = v1 & $lesseq(all_105_14, v1) & $lesseq(0, v1) & $lesseq(0,
% 86.76/12.33 | all_105_14))))
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (7) with int, all_120_0, all_120_0, 0, all_105_14,
% 86.76/12.33 | all_122_0, all_122_0, simplifying with (21), (186), (194), (220)
% 86.76/12.33 | gives:
% 86.76/12.33 | (238) ~ ($lesseq(0, all_105_14)) | ? [v0: int] : ? [v1: int] : ? [v2:
% 86.76/12.33 | any] : (array_eq_sub1(int, all_120_0, all_120_0, 0, all_105_14) =
% 86.76/12.33 | v2 & length2(int, all_120_0) = v1 & length2(int, all_120_0) = v0 &
% 86.76/12.33 | ( ~ (v1 = v0) | v2 = 0 | ~ ($lesseq(all_105_14, v0)) | ~
% 86.76/12.33 | ($lesseq(0, v0))))
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (8) with int, all_120_0, all_120_0,
% 86.76/12.33 | $sum(all_105_13, 1), all_105_16, all_122_0, all_122_0, 0,
% 86.76/12.33 | simplifying with (21), (186), (194), (219) gives:
% 86.76/12.33 | (239) ? [v0: any] : ? [v1: int] : ? [v2: int] : (array_eq_sub1(int,
% 86.76/12.33 | all_120_0, all_120_0, $sum(all_105_13, 1), all_105_16) = v0 &
% 86.76/12.33 | length2(int, all_120_0) = v2 & length2(int, all_120_0) = v1 & ( ~
% 86.76/12.33 | (v0 = 0) | (v2 = v1 & $lesseq(1, $difference(v1, all_105_13)) &
% 86.76/12.33 | $lesseq(all_105_16, v1) & $lesseq(-1, all_105_13) & $lesseq(0,
% 86.76/12.33 | all_105_16))))
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (7) with int, all_120_0, all_120_0,
% 86.76/12.33 | $sum(all_105_13, 1), all_105_16, all_122_0, all_122_0,
% 86.76/12.33 | simplifying with (21), (186), (194), (219) gives:
% 86.76/12.33 | (240) ~ ($lesseq(-1, all_105_13)) | ~ ($lesseq(0, all_105_16)) | ? [v0:
% 86.76/12.33 | int] : ? [v1: int] : ? [v2: any] : (array_eq_sub1(int, all_120_0,
% 86.76/12.33 | all_120_0, $sum(all_105_13, 1), all_105_16) = v2 & length2(int,
% 86.76/12.33 | all_120_0) = v1 & length2(int, all_120_0) = v0 & ( ~ (v1 = v0) |
% 86.76/12.33 | v2 = 0 | ~ ($lesseq(1, $difference(v0, all_105_13))) | ~
% 86.76/12.33 | ($lesseq(all_105_16, v0))))
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (8) with int, all_120_0, all_118_0, 0, all_105_14,
% 86.76/12.33 | all_122_0, all_128_0, 0, simplifying with (21), (184), (186),
% 86.76/12.33 | (192), (194), (222) gives:
% 86.76/12.33 | (241) ? [v0: any] : ? [v1: int] : ? [v2: int] : (array_eq_sub1(int,
% 86.76/12.33 | all_120_0, all_118_0, 0, all_105_14) = v0 & length2(int,
% 86.76/12.33 | all_120_0) = v1 & length2(int, all_118_0) = v2 & ( ~ (v0 = 0) |
% 86.76/12.33 | (v2 = v1 & $lesseq(all_105_14, v1) & $lesseq(0, v1) & $lesseq(0,
% 86.76/12.33 | all_105_14))))
% 86.76/12.33 |
% 86.76/12.33 | GROUND_INST: instantiating (7) with int, all_120_0, all_118_0, 0, all_105_14,
% 86.76/12.33 | all_122_0, all_128_0, simplifying with (21), (184), (186), (192),
% 86.76/12.33 | (194), (222) gives:
% 86.76/12.34 | (242) ~ ($lesseq(0, all_105_14)) | ? [v0: int] : ? [v1: int] : ? [v2:
% 86.76/12.34 | any] : (array_eq_sub1(int, all_120_0, all_118_0, 0, all_105_14) =
% 86.76/12.34 | v2 & length2(int, all_120_0) = v0 & length2(int, all_118_0) = v1 &
% 86.76/12.34 | ( ~ (v1 = v0) | v2 = 0 | ~ ($lesseq(all_105_14, v0)) | ~
% 86.76/12.34 | ($lesseq(0, v0))))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (8) with int, all_120_0, all_118_0,
% 86.76/12.34 | $sum(all_105_13, 1), all_105_16, all_122_0, all_128_0, 0,
% 86.76/12.34 | simplifying with (21), (184), (186), (192), (194), (221) gives:
% 86.76/12.34 | (243) ? [v0: any] : ? [v1: int] : ? [v2: int] : (array_eq_sub1(int,
% 86.76/12.34 | all_120_0, all_118_0, $sum(all_105_13, 1), all_105_16) = v0 &
% 86.76/12.34 | length2(int, all_120_0) = v1 & length2(int, all_118_0) = v2 & ( ~
% 86.76/12.34 | (v0 = 0) | (v2 = v1 & $lesseq(1, $difference(v1, all_105_13)) &
% 86.76/12.34 | $lesseq(all_105_16, v1) & $lesseq(-1, all_105_13) & $lesseq(0,
% 86.76/12.34 | all_105_16))))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (7) with int, all_120_0, all_118_0,
% 86.76/12.34 | $sum(all_105_13, 1), all_105_16, all_122_0, all_128_0,
% 86.76/12.34 | simplifying with (21), (184), (186), (192), (194), (221) gives:
% 86.76/12.34 | (244) ~ ($lesseq(-1, all_105_13)) | ~ ($lesseq(0, all_105_16)) | ? [v0:
% 86.76/12.34 | int] : ? [v1: int] : ? [v2: any] : (array_eq_sub1(int, all_120_0,
% 86.76/12.34 | all_118_0, $sum(all_105_13, 1), all_105_16) = v2 & length2(int,
% 86.76/12.34 | all_120_0) = v0 & length2(int, all_118_0) = v1 & ( ~ (v1 = v0) |
% 86.76/12.34 | v2 = 0 | ~ ($lesseq(1, $difference(v0, all_105_13))) | ~
% 86.76/12.34 | ($lesseq(all_105_16, v0))))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (8) with int, all_118_0, all_116_0, 0, all_105_14,
% 86.76/12.34 | all_128_0, all_124_0, 0, simplifying with (21), (184), (185),
% 86.76/12.34 | (192), (193), (224) gives:
% 86.76/12.34 | (245) ? [v0: any] : ? [v1: int] : ? [v2: int] : (array_eq_sub1(int,
% 86.76/12.34 | all_118_0, all_116_0, 0, all_105_14) = v0 & length2(int,
% 86.76/12.34 | all_118_0) = v1 & length2(int, all_116_0) = v2 & ( ~ (v0 = 0) |
% 86.76/12.34 | (v2 = v1 & $lesseq(all_105_14, v1) & $lesseq(0, v1) & $lesseq(0,
% 86.76/12.34 | all_105_14))))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (7) with int, all_118_0, all_116_0, 0, all_105_14,
% 86.76/12.34 | all_128_0, all_124_0, simplifying with (21), (184), (185), (192),
% 86.76/12.34 | (193), (224) gives:
% 86.76/12.34 | (246) ~ ($lesseq(0, all_105_14)) | ? [v0: int] : ? [v1: int] : ? [v2:
% 86.76/12.34 | any] : (array_eq_sub1(int, all_118_0, all_116_0, 0, all_105_14) =
% 86.76/12.34 | v2 & length2(int, all_118_0) = v0 & length2(int, all_116_0) = v1 &
% 86.76/12.34 | ( ~ (v1 = v0) | v2 = 0 | ~ ($lesseq(all_105_14, v0)) | ~
% 86.76/12.34 | ($lesseq(0, v0))))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (8) with int, all_118_0, all_116_0,
% 86.76/12.34 | $sum(all_105_13, 1), all_105_16, all_128_0, all_124_0, 0,
% 86.76/12.34 | simplifying with (21), (184), (185), (192), (193), (223) gives:
% 86.76/12.34 | (247) ? [v0: any] : ? [v1: int] : ? [v2: int] : (array_eq_sub1(int,
% 86.76/12.34 | all_118_0, all_116_0, $sum(all_105_13, 1), all_105_16) = v0 &
% 86.76/12.34 | length2(int, all_118_0) = v1 & length2(int, all_116_0) = v2 & ( ~
% 86.76/12.34 | (v0 = 0) | (v2 = v1 & $lesseq(1, $difference(v1, all_105_13)) &
% 86.76/12.34 | $lesseq(all_105_16, v1) & $lesseq(-1, all_105_13) & $lesseq(0,
% 86.76/12.34 | all_105_16))))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (7) with int, all_118_0, all_116_0,
% 86.76/12.34 | $sum(all_105_13, 1), all_105_16, all_128_0, all_124_0,
% 86.76/12.34 | simplifying with (21), (184), (185), (192), (193), (223) gives:
% 86.76/12.34 | (248) ~ ($lesseq(-1, all_105_13)) | ~ ($lesseq(0, all_105_16)) | ? [v0:
% 86.76/12.34 | int] : ? [v1: int] : ? [v2: any] : (array_eq_sub1(int, all_118_0,
% 86.76/12.34 | all_116_0, $sum(all_105_13, 1), all_105_16) = v2 & length2(int,
% 86.76/12.34 | all_118_0) = v0 & length2(int, all_116_0) = v1 & ( ~ (v1 = v0) |
% 86.76/12.34 | v2 = 0 | ~ ($lesseq(1, $difference(v0, all_105_13))) | ~
% 86.76/12.34 | ($lesseq(all_105_16, v0))))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (14) with int, all_118_0, all_116_0, all_105_11,
% 86.76/12.34 | all_105_9, all_105_16, all_128_0, all_124_0, simplifying with
% 86.76/12.34 | (21), (76), (184), (185), (192), (193), (218) gives:
% 86.76/12.34 | (249) ? [v0: int] : ? [v1: any] : (exchange3(int, all_118_0, all_116_0,
% 86.76/12.34 | all_105_11, all_105_9) = v1 & length2(int, all_116_0) = v0 & ( ~
% 86.76/12.34 | (v0 = all_105_16) | v1 = 0))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (12) with int, all_128_0, all_124_0, 0, all_105_16,
% 86.76/12.34 | all_105_11, all_105_9, simplifying with (21), (218), (227), (228)
% 86.76/12.34 | gives:
% 86.76/12.34 | (250) $lesseq(1, $difference(all_105_16, all_105_9))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (15) with int, all_118_0, all_116_0, all_105_11,
% 86.76/12.34 | all_105_9, all_105_16, all_128_0, all_124_0, 0, simplifying with
% 86.76/12.34 | (21), (76), (184), (185), (192), (193), (218) gives:
% 86.76/12.34 | (251) ? [v0: any] : ? [v1: int] : (exchange3(int, all_118_0, all_116_0,
% 86.76/12.34 | all_105_11, all_105_9) = v0 & length2(int, all_116_0) = v1 & ( ~
% 86.76/12.34 | (v0 = 0) | v1 = all_105_16))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (18) with int, all_118_0, all_116_0, all_105_14,
% 86.76/12.34 | $sum(all_105_13, 1), simplifying with (21), (175), (192), (193)
% 86.76/12.34 | gives:
% 86.76/12.34 | (252) ? [v0: uni] : ? [v1: uni] : ? [v2: any] : ? [v3: int] : ? [v4:
% 86.76/12.34 | any] : ? [v5: any] : (permut_sub1(int, all_118_0, all_116_0,
% 86.76/12.34 | all_105_14, $sum(all_105_13, 1)) = v5 & map_eq_sub1(int, v0, v1,
% 86.76/12.34 | $sum(all_105_13, 1), v3) = v4 & map_eq_sub1(int, v0, v1, 0,
% 86.76/12.34 | all_105_14) = v2 & elts(int, all_118_0) = v0 & elts(int,
% 86.76/12.34 | all_116_0) = v1 & length2(int, all_118_0) = v3 & uni(v1) &
% 86.76/12.34 | uni(v0) & ( ~ (v4 = 0) | ~ (v2 = 0) | v5 = 0))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (16) with int, all_118_0, all_116_0, all_105_14,
% 86.76/12.34 | $sum(all_105_13, 1), simplifying with (21), (175), (192), (193)
% 86.76/12.34 | gives:
% 86.76/12.34 | (253) ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ($lesseq(1,
% 86.76/12.34 | $difference(v0, all_105_13)) & $lesseq(all_105_14, v0) &
% 86.76/12.34 | permut2(int, v1, v2, all_105_14, $sum(all_105_13, 1)) = 0 &
% 86.76/12.34 | elts(int, all_118_0) = v1 & elts(int, all_116_0) = v2 &
% 86.76/12.34 | length2(int, all_118_0) = v0 & length2(int, all_116_0) = v0 &
% 86.76/12.34 | uni(v2) & uni(v1))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (19) with int, all_118_0, all_116_0, all_105_14,
% 86.76/12.34 | $sum(all_105_13, 1), 0, simplifying with (21), (175), (192),
% 86.76/12.34 | (193) gives:
% 86.76/12.34 | (254) ? [v0: any] : ? [v1: uni] : ? [v2: uni] : ? [v3: any] : ? [v4:
% 86.76/12.34 | int] : ? [v5: any] : (permut_sub1(int, all_118_0, all_116_0,
% 86.76/12.34 | all_105_14, $sum(all_105_13, 1)) = v0 & map_eq_sub1(int, v1, v2,
% 86.76/12.34 | $sum(all_105_13, 1), v4) = v5 & map_eq_sub1(int, v1, v2, 0,
% 86.76/12.34 | all_105_14) = v3 & elts(int, all_118_0) = v1 & elts(int,
% 86.76/12.34 | all_116_0) = v2 & length2(int, all_118_0) = v4 & uni(v2) &
% 86.76/12.34 | uni(v1) & ( ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 86.76/12.34 |
% 86.76/12.34 | GROUND_INST: instantiating (18) with int, all_120_0, all_118_0, all_105_14,
% 86.76/12.34 | $sum(all_105_13, 1), simplifying with (21), (174), (192), (194)
% 86.76/12.34 | gives:
% 86.76/12.35 | (255) ? [v0: uni] : ? [v1: uni] : ? [v2: any] : ? [v3: int] : ? [v4:
% 86.76/12.35 | any] : ? [v5: any] : (permut_sub1(int, all_120_0, all_118_0,
% 86.76/12.35 | all_105_14, $sum(all_105_13, 1)) = v5 & map_eq_sub1(int, v0, v1,
% 86.76/12.35 | $sum(all_105_13, 1), v3) = v4 & map_eq_sub1(int, v0, v1, 0,
% 86.76/12.35 | all_105_14) = v2 & elts(int, all_120_0) = v0 & elts(int,
% 86.76/12.35 | all_118_0) = v1 & length2(int, all_120_0) = v3 & uni(v1) &
% 86.76/12.35 | uni(v0) & ( ~ (v4 = 0) | ~ (v2 = 0) | v5 = 0))
% 86.76/12.35 |
% 86.76/12.35 | GROUND_INST: instantiating (16) with int, all_120_0, all_118_0, all_105_14,
% 86.76/12.35 | $sum(all_105_13, 1), simplifying with (21), (174), (192), (194)
% 86.76/12.35 | gives:
% 86.76/12.35 | (256) ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ($lesseq(1,
% 86.76/12.35 | $difference(v0, all_105_13)) & $lesseq(all_105_14, v0) &
% 86.76/12.35 | permut2(int, v1, v2, all_105_14, $sum(all_105_13, 1)) = 0 &
% 86.76/12.35 | elts(int, all_120_0) = v1 & elts(int, all_118_0) = v2 &
% 86.76/12.35 | length2(int, all_120_0) = v0 & length2(int, all_118_0) = v0 &
% 86.76/12.35 | uni(v2) & uni(v1))
% 86.76/12.35 |
% 86.76/12.35 | GROUND_INST: instantiating (19) with int, all_120_0, all_118_0, all_105_14,
% 86.76/12.35 | $sum(all_105_13, 1), 0, simplifying with (21), (174), (192),
% 86.76/12.35 | (194) gives:
% 86.84/12.35 | (257) ? [v0: any] : ? [v1: uni] : ? [v2: uni] : ? [v3: any] : ? [v4:
% 86.84/12.35 | int] : ? [v5: any] : (permut_sub1(int, all_120_0, all_118_0,
% 86.84/12.35 | all_105_14, $sum(all_105_13, 1)) = v0 & map_eq_sub1(int, v1, v2,
% 86.84/12.35 | $sum(all_105_13, 1), v4) = v5 & map_eq_sub1(int, v1, v2, 0,
% 86.84/12.35 | all_105_14) = v3 & elts(int, all_120_0) = v1 & elts(int,
% 86.84/12.35 | all_118_0) = v2 & length2(int, all_120_0) = v4 & uni(v2) &
% 86.84/12.35 | uni(v1) & ( ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 86.84/12.35 |
% 86.84/12.35 | GROUND_INST: instantiating (18) with int, all_120_0, all_120_0, all_105_14,
% 86.84/12.35 | $sum(all_105_13, 1), simplifying with (21), (173), (194) gives:
% 86.84/12.35 | (258) ? [v0: uni] : ? [v1: uni] : ? [v2: any] : ? [v3: int] : ? [v4:
% 86.84/12.35 | any] : ? [v5: any] : (permut_sub1(int, all_120_0, all_120_0,
% 86.84/12.35 | all_105_14, $sum(all_105_13, 1)) = v5 & map_eq_sub1(int, v0, v1,
% 86.84/12.35 | $sum(all_105_13, 1), v3) = v4 & map_eq_sub1(int, v0, v1, 0,
% 86.84/12.35 | all_105_14) = v2 & elts(int, all_120_0) = v1 & elts(int,
% 86.84/12.35 | all_120_0) = v0 & length2(int, all_120_0) = v3 & uni(v1) &
% 86.84/12.35 | uni(v0) & ( ~ (v4 = 0) | ~ (v2 = 0) | v5 = 0))
% 86.84/12.35 |
% 86.84/12.35 | GROUND_INST: instantiating (16) with int, all_120_0, all_120_0, all_105_14,
% 86.84/12.35 | $sum(all_105_13, 1), simplifying with (21), (173), (194) gives:
% 86.84/12.35 | (259) ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ($lesseq(1,
% 86.84/12.35 | $difference(v0, all_105_13)) & $lesseq(all_105_14, v0) &
% 86.84/12.35 | permut2(int, v1, v2, all_105_14, $sum(all_105_13, 1)) = 0 &
% 86.84/12.35 | elts(int, all_120_0) = v2 & elts(int, all_120_0) = v1 &
% 86.84/12.35 | length2(int, all_120_0) = v0 & uni(v2) & uni(v1))
% 86.84/12.35 |
% 86.84/12.35 | GROUND_INST: instantiating (19) with int, all_120_0, all_120_0, all_105_14,
% 86.84/12.35 | $sum(all_105_13, 1), 0, simplifying with (21), (173), (194)
% 86.84/12.35 | gives:
% 86.84/12.35 | (260) ? [v0: any] : ? [v1: uni] : ? [v2: uni] : ? [v3: any] : ? [v4:
% 86.84/12.35 | int] : ? [v5: any] : (permut_sub1(int, all_120_0, all_120_0,
% 86.84/12.35 | all_105_14, $sum(all_105_13, 1)) = v0 & map_eq_sub1(int, v1, v2,
% 86.84/12.35 | $sum(all_105_13, 1), v4) = v5 & map_eq_sub1(int, v1, v2, 0,
% 86.84/12.35 | all_105_14) = v3 & elts(int, all_120_0) = v2 & elts(int,
% 86.84/12.35 | all_120_0) = v1 & length2(int, all_120_0) = v4 & uni(v2) &
% 86.84/12.35 | uni(v1) & ( ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 86.84/12.35 |
% 86.84/12.35 | GROUND_INST: instantiating (20) with int, all_118_0, all_116_0, simplifying
% 86.84/12.35 | with (21), (172), (192), (193) gives:
% 86.84/12.35 | (261) ? [v0: int] : ? [v1: uni] : ? [v2: uni] : (permut2(int, v1, v2, 0,
% 86.84/12.35 | v0) = 0 & elts(int, all_118_0) = v1 & elts(int, all_116_0) = v2 &
% 86.84/12.35 | length2(int, all_118_0) = v0 & length2(int, all_116_0) = v0 &
% 86.84/12.35 | uni(v2) & uni(v1))
% 86.84/12.35 |
% 86.84/12.35 | DELTA: instantiating (236) with fresh symbol all_156_0 gives:
% 86.84/12.35 | (262) length2(int, all_120_0) = all_156_0 & mk_array2(int, all_156_0,
% 86.84/12.35 | all_122_0) = all_120_0
% 86.84/12.35 |
% 86.84/12.35 | ALPHA: (262) implies:
% 86.84/12.35 | (263) length2(int, all_120_0) = all_156_0
% 86.84/12.35 |
% 86.84/12.35 | DELTA: instantiating (235) with fresh symbol all_158_0 gives:
% 86.84/12.35 | (264) length2(int, all_118_0) = all_158_0 & mk_array2(int, all_158_0,
% 86.84/12.35 | all_128_0) = all_118_0
% 86.84/12.35 |
% 86.84/12.35 | ALPHA: (264) implies:
% 86.84/12.35 | (265) length2(int, all_118_0) = all_158_0
% 86.84/12.35 |
% 86.84/12.35 | DELTA: instantiating (234) with fresh symbol all_160_0 gives:
% 86.84/12.35 | (266) length2(int, all_116_0) = all_160_0 & mk_array2(int, all_160_0,
% 86.84/12.35 | all_124_0) = all_116_0
% 86.84/12.35 |
% 86.84/12.35 | ALPHA: (266) implies:
% 86.84/12.35 | (267) length2(int, all_116_0) = all_160_0
% 86.84/12.35 |
% 86.84/12.35 | DELTA: instantiating (232) with fresh symbol all_172_0 gives:
% 86.84/12.35 | (268) elts(int, all_116_0) = all_172_0 & mk_array2(int, all_105_16,
% 86.84/12.35 | all_172_0) = all_116_0 & uni(all_172_0)
% 86.84/12.35 |
% 86.84/12.35 | ALPHA: (268) implies:
% 86.84/12.35 | (269) elts(int, all_116_0) = all_172_0
% 86.84/12.35 |
% 86.84/12.35 | DELTA: instantiating (233) with fresh symbol all_174_0 gives:
% 86.84/12.35 | (270) elts(int, all_120_0) = all_174_0 & mk_array2(int, all_105_16,
% 86.84/12.35 | all_174_0) = all_120_0 & uni(all_174_0)
% 86.84/12.35 |
% 86.84/12.35 | ALPHA: (270) implies:
% 86.84/12.35 | (271) elts(int, all_120_0) = all_174_0
% 86.84/12.35 |
% 86.84/12.35 | DELTA: instantiating (249) with fresh symbols all_184_0, all_184_1 gives:
% 86.84/12.35 | (272) exchange3(int, all_118_0, all_116_0, all_105_11, all_105_9) =
% 86.84/12.35 | all_184_0 & length2(int, all_116_0) = all_184_1 & ( ~ (all_184_1 =
% 86.84/12.35 | all_105_16) | all_184_0 = 0)
% 86.84/12.35 |
% 86.84/12.35 | ALPHA: (272) implies:
% 86.84/12.35 | (273) length2(int, all_116_0) = all_184_1
% 86.84/12.35 |
% 86.84/12.35 | DELTA: instantiating (251) with fresh symbols all_186_0, all_186_1 gives:
% 86.84/12.35 | (274) exchange3(int, all_118_0, all_116_0, all_105_11, all_105_9) =
% 86.84/12.35 | all_186_1 & length2(int, all_116_0) = all_186_0 & ( ~ (all_186_1 = 0)
% 86.84/12.35 | | all_186_0 = all_105_16)
% 86.84/12.35 |
% 86.84/12.35 | ALPHA: (274) implies:
% 86.84/12.35 | (275) length2(int, all_116_0) = all_186_0
% 86.84/12.35 |
% 86.84/12.35 | DELTA: instantiating (261) with fresh symbols all_188_0, all_188_1, all_188_2
% 86.84/12.35 | gives:
% 86.84/12.35 | (276) permut2(int, all_188_1, all_188_0, 0, all_188_2) = 0 & elts(int,
% 86.84/12.35 | all_118_0) = all_188_1 & elts(int, all_116_0) = all_188_0 &
% 86.84/12.35 | length2(int, all_118_0) = all_188_2 & length2(int, all_116_0) =
% 86.84/12.35 | all_188_2 & uni(all_188_0) & uni(all_188_1)
% 86.84/12.35 |
% 86.84/12.35 | ALPHA: (276) implies:
% 86.84/12.35 | (277) length2(int, all_116_0) = all_188_2
% 86.84/12.35 | (278) length2(int, all_118_0) = all_188_2
% 86.84/12.35 | (279) elts(int, all_116_0) = all_188_0
% 86.84/12.35 | (280) elts(int, all_118_0) = all_188_1
% 86.84/12.35 |
% 86.84/12.35 | DELTA: instantiating (237) with fresh symbols all_190_0, all_190_1, all_190_2
% 86.84/12.35 | gives:
% 86.84/12.35 | (281) array_eq_sub1(int, all_120_0, all_120_0, 0, all_105_14) = all_190_2 &
% 86.84/12.35 | length2(int, all_120_0) = all_190_0 & length2(int, all_120_0) =
% 86.84/12.35 | all_190_1 & ( ~ (all_190_2 = 0) | (all_190_0 = all_190_1 &
% 86.84/12.35 | $lesseq(all_105_14, all_190_1) & $lesseq(0, all_190_1) &
% 86.84/12.35 | $lesseq(0, all_105_14)))
% 86.84/12.35 |
% 86.84/12.35 | ALPHA: (281) implies:
% 86.84/12.36 | (282) length2(int, all_120_0) = all_190_1
% 86.84/12.36 | (283) length2(int, all_120_0) = all_190_0
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (259) with fresh symbols all_192_0, all_192_1, all_192_2
% 86.84/12.36 | gives:
% 86.84/12.36 | (284) $lesseq(1, $difference(all_192_2, all_105_13)) & $lesseq(all_105_14,
% 86.84/12.36 | all_192_2) & permut2(int, all_192_1, all_192_0, all_105_14,
% 86.84/12.36 | $sum(all_105_13, 1)) = 0 & elts(int, all_120_0) = all_192_0 &
% 86.84/12.36 | elts(int, all_120_0) = all_192_1 & length2(int, all_120_0) =
% 86.84/12.36 | all_192_2 & uni(all_192_0) & uni(all_192_1)
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (284) implies:
% 86.84/12.36 | (285) $lesseq(1, $difference(all_192_2, all_105_13))
% 86.84/12.36 | (286) length2(int, all_120_0) = all_192_2
% 86.84/12.36 | (287) elts(int, all_120_0) = all_192_1
% 86.84/12.36 | (288) elts(int, all_120_0) = all_192_0
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (245) with fresh symbols all_195_0, all_195_1, all_195_2
% 86.84/12.36 | gives:
% 86.84/12.36 | (289) array_eq_sub1(int, all_118_0, all_116_0, 0, all_105_14) = all_195_2 &
% 86.84/12.36 | length2(int, all_118_0) = all_195_1 & length2(int, all_116_0) =
% 86.84/12.36 | all_195_0 & ( ~ (all_195_2 = 0) | (all_195_0 = all_195_1 &
% 86.84/12.36 | $lesseq(all_105_14, all_195_1) & $lesseq(0, all_195_1) &
% 86.84/12.36 | $lesseq(0, all_105_14)))
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (289) implies:
% 86.84/12.36 | (290) length2(int, all_116_0) = all_195_0
% 86.84/12.36 | (291) length2(int, all_118_0) = all_195_1
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (241) with fresh symbols all_197_0, all_197_1, all_197_2
% 86.84/12.36 | gives:
% 86.84/12.36 | (292) array_eq_sub1(int, all_120_0, all_118_0, 0, all_105_14) = all_197_2 &
% 86.84/12.36 | length2(int, all_120_0) = all_197_1 & length2(int, all_118_0) =
% 86.84/12.36 | all_197_0 & ( ~ (all_197_2 = 0) | (all_197_0 = all_197_1 &
% 86.84/12.36 | $lesseq(all_105_14, all_197_1) & $lesseq(0, all_197_1) &
% 86.84/12.36 | $lesseq(0, all_105_14)))
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (292) implies:
% 86.84/12.36 | (293) length2(int, all_118_0) = all_197_0
% 86.84/12.36 | (294) length2(int, all_120_0) = all_197_1
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (256) with fresh symbols all_199_0, all_199_1, all_199_2
% 86.84/12.36 | gives:
% 86.84/12.36 | (295) $lesseq(1, $difference(all_199_2, all_105_13)) & $lesseq(all_105_14,
% 86.84/12.36 | all_199_2) & permut2(int, all_199_1, all_199_0, all_105_14,
% 86.84/12.36 | $sum(all_105_13, 1)) = 0 & elts(int, all_120_0) = all_199_1 &
% 86.84/12.36 | elts(int, all_118_0) = all_199_0 & length2(int, all_120_0) =
% 86.84/12.36 | all_199_2 & length2(int, all_118_0) = all_199_2 & uni(all_199_0) &
% 86.84/12.36 | uni(all_199_1)
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (295) implies:
% 86.84/12.36 | (296) length2(int, all_118_0) = all_199_2
% 86.84/12.36 | (297) length2(int, all_120_0) = all_199_2
% 86.84/12.36 | (298) elts(int, all_118_0) = all_199_0
% 86.84/12.36 | (299) elts(int, all_120_0) = all_199_1
% 86.84/12.36 | (300) permut2(int, all_199_1, all_199_0, all_105_14, $sum(all_105_13, 1)) =
% 86.84/12.36 | 0
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (247) with fresh symbols all_202_0, all_202_1, all_202_2
% 86.84/12.36 | gives:
% 86.84/12.36 | (301) array_eq_sub1(int, all_118_0, all_116_0, $sum(all_105_13, 1),
% 86.84/12.36 | all_105_16) = all_202_2 & length2(int, all_118_0) = all_202_1 &
% 86.84/12.36 | length2(int, all_116_0) = all_202_0 & ( ~ (all_202_2 = 0) |
% 86.84/12.36 | (all_202_0 = all_202_1 & $lesseq(1, $difference(all_202_1,
% 86.84/12.36 | all_105_13)) & $lesseq(all_105_16, all_202_1) & $lesseq(-1,
% 86.84/12.36 | all_105_13) & $lesseq(0, all_105_16)))
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (301) implies:
% 86.84/12.36 | (302) length2(int, all_116_0) = all_202_0
% 86.84/12.36 | (303) length2(int, all_118_0) = all_202_1
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (243) with fresh symbols all_204_0, all_204_1, all_204_2
% 86.84/12.36 | gives:
% 86.84/12.36 | (304) array_eq_sub1(int, all_120_0, all_118_0, $sum(all_105_13, 1),
% 86.84/12.36 | all_105_16) = all_204_2 & length2(int, all_120_0) = all_204_1 &
% 86.84/12.36 | length2(int, all_118_0) = all_204_0 & ( ~ (all_204_2 = 0) |
% 86.84/12.36 | (all_204_0 = all_204_1 & $lesseq(1, $difference(all_204_1,
% 86.84/12.36 | all_105_13)) & $lesseq(all_105_16, all_204_1) & $lesseq(-1,
% 86.84/12.36 | all_105_13) & $lesseq(0, all_105_16)))
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (304) implies:
% 86.84/12.36 | (305) length2(int, all_118_0) = all_204_0
% 86.84/12.36 | (306) length2(int, all_120_0) = all_204_1
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (253) with fresh symbols all_206_0, all_206_1, all_206_2
% 86.84/12.36 | gives:
% 86.84/12.36 | (307) $lesseq(1, $difference(all_206_2, all_105_13)) & $lesseq(all_105_14,
% 86.84/12.36 | all_206_2) & permut2(int, all_206_1, all_206_0, all_105_14,
% 86.84/12.36 | $sum(all_105_13, 1)) = 0 & elts(int, all_118_0) = all_206_1 &
% 86.84/12.36 | elts(int, all_116_0) = all_206_0 & length2(int, all_118_0) =
% 86.84/12.36 | all_206_2 & length2(int, all_116_0) = all_206_2 & uni(all_206_0) &
% 86.84/12.36 | uni(all_206_1)
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (307) implies:
% 86.84/12.36 | (308) length2(int, all_116_0) = all_206_2
% 86.84/12.36 | (309) length2(int, all_118_0) = all_206_2
% 86.84/12.36 | (310) elts(int, all_116_0) = all_206_0
% 86.84/12.36 | (311) elts(int, all_118_0) = all_206_1
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (239) with fresh symbols all_209_0, all_209_1, all_209_2
% 86.84/12.36 | gives:
% 86.84/12.36 | (312) array_eq_sub1(int, all_120_0, all_120_0, $sum(all_105_13, 1),
% 86.84/12.36 | all_105_16) = all_209_2 & length2(int, all_120_0) = all_209_0 &
% 86.84/12.36 | length2(int, all_120_0) = all_209_1 & ( ~ (all_209_2 = 0) |
% 86.84/12.36 | (all_209_0 = all_209_1 & $lesseq(1, $difference(all_209_1,
% 86.84/12.36 | all_105_13)) & $lesseq(all_105_16, all_209_1) & $lesseq(-1,
% 86.84/12.36 | all_105_13) & $lesseq(0, all_105_16)))
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (312) implies:
% 86.84/12.36 | (313) length2(int, all_120_0) = all_209_1
% 86.84/12.36 | (314) length2(int, all_120_0) = all_209_0
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (254) with fresh symbols all_213_0, all_213_1, all_213_2,
% 86.84/12.36 | all_213_3, all_213_4, all_213_5 gives:
% 86.84/12.36 | (315) permut_sub1(int, all_118_0, all_116_0, all_105_14, $sum(all_105_13,
% 86.84/12.36 | 1)) = all_213_5 & map_eq_sub1(int, all_213_4, all_213_3,
% 86.84/12.36 | $sum(all_105_13, 1), all_213_1) = all_213_0 & map_eq_sub1(int,
% 86.84/12.36 | all_213_4, all_213_3, 0, all_105_14) = all_213_2 & elts(int,
% 86.84/12.36 | all_118_0) = all_213_4 & elts(int, all_116_0) = all_213_3 &
% 86.84/12.36 | length2(int, all_118_0) = all_213_1 & uni(all_213_3) & uni(all_213_4)
% 86.84/12.36 | & ( ~ (all_213_5 = 0) | (all_213_0 = 0 & all_213_2 = 0))
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (315) implies:
% 86.84/12.36 | (316) length2(int, all_118_0) = all_213_1
% 86.84/12.36 | (317) elts(int, all_116_0) = all_213_3
% 86.84/12.36 | (318) elts(int, all_118_0) = all_213_4
% 86.84/12.36 | (319) map_eq_sub1(int, all_213_4, all_213_3, 0, all_105_14) = all_213_2
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (252) with fresh symbols all_215_0, all_215_1, all_215_2,
% 86.84/12.36 | all_215_3, all_215_4, all_215_5 gives:
% 86.84/12.36 | (320) permut_sub1(int, all_118_0, all_116_0, all_105_14, $sum(all_105_13,
% 86.84/12.36 | 1)) = all_215_0 & map_eq_sub1(int, all_215_5, all_215_4,
% 86.84/12.36 | $sum(all_105_13, 1), all_215_2) = all_215_1 & map_eq_sub1(int,
% 86.84/12.36 | all_215_5, all_215_4, 0, all_105_14) = all_215_3 & elts(int,
% 86.84/12.36 | all_118_0) = all_215_5 & elts(int, all_116_0) = all_215_4 &
% 86.84/12.36 | length2(int, all_118_0) = all_215_2 & uni(all_215_4) & uni(all_215_5)
% 86.84/12.36 | & ( ~ (all_215_1 = 0) | ~ (all_215_3 = 0) | all_215_0 = 0)
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (320) implies:
% 86.84/12.36 | (321) length2(int, all_118_0) = all_215_2
% 86.84/12.36 | (322) elts(int, all_116_0) = all_215_4
% 86.84/12.36 | (323) elts(int, all_118_0) = all_215_5
% 86.84/12.36 | (324) map_eq_sub1(int, all_215_5, all_215_4, 0, all_105_14) = all_215_3
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (260) with fresh symbols all_217_0, all_217_1, all_217_2,
% 86.84/12.36 | all_217_3, all_217_4, all_217_5 gives:
% 86.84/12.36 | (325) permut_sub1(int, all_120_0, all_120_0, all_105_14, $sum(all_105_13,
% 86.84/12.36 | 1)) = all_217_5 & map_eq_sub1(int, all_217_4, all_217_3,
% 86.84/12.36 | $sum(all_105_13, 1), all_217_1) = all_217_0 & map_eq_sub1(int,
% 86.84/12.36 | all_217_4, all_217_3, 0, all_105_14) = all_217_2 & elts(int,
% 86.84/12.36 | all_120_0) = all_217_3 & elts(int, all_120_0) = all_217_4 &
% 86.84/12.36 | length2(int, all_120_0) = all_217_1 & uni(all_217_3) & uni(all_217_4)
% 86.84/12.36 | & ( ~ (all_217_5 = 0) | (all_217_0 = 0 & all_217_2 = 0))
% 86.84/12.36 |
% 86.84/12.36 | ALPHA: (325) implies:
% 86.84/12.36 | (326) length2(int, all_120_0) = all_217_1
% 86.84/12.36 | (327) elts(int, all_120_0) = all_217_4
% 86.84/12.36 | (328) elts(int, all_120_0) = all_217_3
% 86.84/12.36 |
% 86.84/12.36 | DELTA: instantiating (258) with fresh symbols all_219_0, all_219_1, all_219_2,
% 86.84/12.36 | all_219_3, all_219_4, all_219_5 gives:
% 86.84/12.36 | (329) permut_sub1(int, all_120_0, all_120_0, all_105_14, $sum(all_105_13,
% 86.84/12.36 | 1)) = all_219_0 & map_eq_sub1(int, all_219_5, all_219_4,
% 86.84/12.36 | $sum(all_105_13, 1), all_219_2) = all_219_1 & map_eq_sub1(int,
% 86.84/12.36 | all_219_5, all_219_4, 0, all_105_14) = all_219_3 & elts(int,
% 86.84/12.36 | all_120_0) = all_219_4 & elts(int, all_120_0) = all_219_5 &
% 86.84/12.36 | length2(int, all_120_0) = all_219_2 & uni(all_219_4) & uni(all_219_5)
% 86.84/12.36 | & ( ~ (all_219_1 = 0) | ~ (all_219_3 = 0) | all_219_0 = 0)
% 86.84/12.37 |
% 86.84/12.37 | ALPHA: (329) implies:
% 86.84/12.37 | (330) length2(int, all_120_0) = all_219_2
% 86.84/12.37 | (331) elts(int, all_120_0) = all_219_5
% 86.84/12.37 | (332) elts(int, all_120_0) = all_219_4
% 86.84/12.37 |
% 86.84/12.37 | DELTA: instantiating (257) with fresh symbols all_221_0, all_221_1, all_221_2,
% 86.84/12.37 | all_221_3, all_221_4, all_221_5 gives:
% 86.84/12.37 | (333) permut_sub1(int, all_120_0, all_118_0, all_105_14, $sum(all_105_13,
% 86.84/12.37 | 1)) = all_221_5 & map_eq_sub1(int, all_221_4, all_221_3,
% 86.84/12.37 | $sum(all_105_13, 1), all_221_1) = all_221_0 & map_eq_sub1(int,
% 86.84/12.37 | all_221_4, all_221_3, 0, all_105_14) = all_221_2 & elts(int,
% 86.84/12.37 | all_120_0) = all_221_4 & elts(int, all_118_0) = all_221_3 &
% 86.84/12.37 | length2(int, all_120_0) = all_221_1 & uni(all_221_3) & uni(all_221_4)
% 86.84/12.37 | & ( ~ (all_221_5 = 0) | (all_221_0 = 0 & all_221_2 = 0))
% 86.84/12.37 |
% 86.84/12.37 | ALPHA: (333) implies:
% 86.84/12.37 | (334) length2(int, all_120_0) = all_221_1
% 86.84/12.37 | (335) elts(int, all_118_0) = all_221_3
% 86.84/12.37 | (336) elts(int, all_120_0) = all_221_4
% 86.84/12.37 |
% 86.84/12.37 | DELTA: instantiating (255) with fresh symbols all_223_0, all_223_1, all_223_2,
% 86.84/12.37 | all_223_3, all_223_4, all_223_5 gives:
% 86.84/12.37 | (337) permut_sub1(int, all_120_0, all_118_0, all_105_14, $sum(all_105_13,
% 86.84/12.37 | 1)) = all_223_0 & map_eq_sub1(int, all_223_5, all_223_4,
% 86.84/12.37 | $sum(all_105_13, 1), all_223_2) = all_223_1 & map_eq_sub1(int,
% 86.84/12.37 | all_223_5, all_223_4, 0, all_105_14) = all_223_3 & elts(int,
% 86.84/12.37 | all_120_0) = all_223_5 & elts(int, all_118_0) = all_223_4 &
% 86.84/12.37 | length2(int, all_120_0) = all_223_2 & uni(all_223_4) & uni(all_223_5)
% 86.84/12.37 | & ( ~ (all_223_1 = 0) | ~ (all_223_3 = 0) | all_223_0 = 0)
% 86.84/12.37 |
% 86.84/12.37 | ALPHA: (337) implies:
% 86.84/12.37 | (338) length2(int, all_120_0) = all_223_2
% 86.84/12.37 | (339) elts(int, all_118_0) = all_223_4
% 86.84/12.37 | (340) elts(int, all_120_0) = all_223_5
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_188_2, all_195_0, all_116_0, int,
% 86.84/12.37 | simplifying with (277), (290) gives:
% 86.84/12.37 | (341) all_195_0 = all_188_2
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_186_0, all_195_0, all_116_0, int,
% 86.84/12.37 | simplifying with (275), (290) gives:
% 86.84/12.37 | (342) all_195_0 = all_186_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_184_1, all_195_0, all_116_0, int,
% 86.84/12.37 | simplifying with (273), (290) gives:
% 86.84/12.37 | (343) all_195_0 = all_184_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_105_16, all_202_0, all_116_0, int,
% 86.84/12.37 | simplifying with (225), (302) gives:
% 86.84/12.37 | (344) all_202_0 = all_105_16
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_186_0, all_202_0, all_116_0, int,
% 86.84/12.37 | simplifying with (275), (302) gives:
% 86.84/12.37 | (345) all_202_0 = all_186_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_160_0, all_206_2, all_116_0, int,
% 86.84/12.37 | simplifying with (267), (308) gives:
% 86.84/12.37 | (346) all_206_2 = all_160_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_158_0, all_188_2, all_118_0, int,
% 86.84/12.37 | simplifying with (265), (278) gives:
% 86.84/12.37 | (347) all_188_2 = all_158_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_199_2, all_202_1, all_118_0, int,
% 86.84/12.37 | simplifying with (296), (303) gives:
% 86.84/12.37 | (348) all_202_1 = all_199_2
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_195_1, all_202_1, all_118_0, int,
% 86.84/12.37 | simplifying with (291), (303) gives:
% 86.84/12.37 | (349) all_202_1 = all_195_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_105_16, all_204_0, all_118_0, int,
% 86.84/12.37 | simplifying with (76), (305) gives:
% 86.84/12.37 | (350) all_204_0 = all_105_16
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_199_2, all_204_0, all_118_0, int,
% 86.84/12.37 | simplifying with (296), (305) gives:
% 86.84/12.37 | (351) all_204_0 = all_199_2
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_188_2, all_206_2, all_118_0, int,
% 86.84/12.37 | simplifying with (278), (309) gives:
% 86.84/12.37 | (352) all_206_2 = all_188_2
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_199_2, all_213_1, all_118_0, int,
% 86.84/12.37 | simplifying with (296), (316) gives:
% 86.84/12.37 | (353) all_213_1 = all_199_2
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_213_1, all_215_2, all_118_0, int,
% 86.84/12.37 | simplifying with (316), (321) gives:
% 86.84/12.37 | (354) all_215_2 = all_213_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_197_0, all_215_2, all_118_0, int,
% 86.84/12.37 | simplifying with (293), (321) gives:
% 86.84/12.37 | (355) all_215_2 = all_197_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_190_0, all_197_1, all_120_0, int,
% 86.84/12.37 | simplifying with (283), (294) gives:
% 86.84/12.37 | (356) all_197_1 = all_190_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_190_1, all_204_1, all_120_0, int,
% 86.84/12.37 | simplifying with (282), (306) gives:
% 86.84/12.37 | (357) all_204_1 = all_190_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_197_1, all_209_0, all_120_0, int,
% 86.84/12.37 | simplifying with (294), (314) gives:
% 86.84/12.37 | (358) all_209_0 = all_197_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_209_0, all_217_1, all_120_0, int,
% 86.84/12.37 | simplifying with (314), (326) gives:
% 86.84/12.37 | (359) all_217_1 = all_209_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_217_1, all_219_2, all_120_0, int,
% 86.84/12.37 | simplifying with (326), (330) gives:
% 86.84/12.37 | (360) all_219_2 = all_217_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_209_1, all_219_2, all_120_0, int,
% 86.84/12.37 | simplifying with (313), (330) gives:
% 86.84/12.37 | (361) all_219_2 = all_209_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_204_1, all_221_1, all_120_0, int,
% 86.84/12.37 | simplifying with (306), (334) gives:
% 86.84/12.37 | (362) all_221_1 = all_204_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_199_2, all_221_1, all_120_0, int,
% 86.84/12.37 | simplifying with (297), (334) gives:
% 86.84/12.37 | (363) all_221_1 = all_199_2
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_192_2, all_221_1, all_120_0, int,
% 86.84/12.37 | simplifying with (286), (334) gives:
% 86.84/12.37 | (364) all_221_1 = all_192_2
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_190_0, all_221_1, all_120_0, int,
% 86.84/12.37 | simplifying with (283), (334) gives:
% 86.84/12.37 | (365) all_221_1 = all_190_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_209_0, all_223_2, all_120_0, int,
% 86.84/12.37 | simplifying with (314), (338) gives:
% 86.84/12.37 | (366) all_223_2 = all_209_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (25) with all_156_0, all_223_2, all_120_0, int,
% 86.84/12.37 | simplifying with (263), (338) gives:
% 86.84/12.37 | (367) all_223_2 = all_156_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_124_0, all_206_0, all_116_0, int,
% 86.84/12.37 | simplifying with (185), (310) gives:
% 86.84/12.37 | (368) all_206_0 = all_124_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_172_0, all_206_0, all_116_0, int,
% 86.84/12.37 | simplifying with (269), (310) gives:
% 86.84/12.37 | (369) all_206_0 = all_172_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_206_0, all_213_3, all_116_0, int,
% 86.84/12.37 | simplifying with (310), (317) gives:
% 86.84/12.37 | (370) all_213_3 = all_206_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_213_3, all_215_4, all_116_0, int,
% 86.84/12.37 | simplifying with (317), (322) gives:
% 86.84/12.37 | (371) all_215_4 = all_213_3
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_188_0, all_215_4, all_116_0, int,
% 86.84/12.37 | simplifying with (279), (322) gives:
% 86.84/12.37 | (372) all_215_4 = all_188_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_188_1, all_199_0, all_118_0, int,
% 86.84/12.37 | simplifying with (280), (298) gives:
% 86.84/12.37 | (373) all_199_0 = all_188_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_199_0, all_206_1, all_118_0, int,
% 86.84/12.37 | simplifying with (298), (311) gives:
% 86.84/12.37 | (374) all_206_1 = all_199_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_128_0, all_221_3, all_118_0, int,
% 86.84/12.37 | simplifying with (184), (335) gives:
% 86.84/12.37 | (375) all_221_3 = all_128_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_221_3, all_223_4, all_118_0, int,
% 86.84/12.37 | simplifying with (335), (339) gives:
% 86.84/12.37 | (376) all_223_4 = all_221_3
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_215_5, all_223_4, all_118_0, int,
% 86.84/12.37 | simplifying with (323), (339) gives:
% 86.84/12.37 | (377) all_223_4 = all_215_5
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_213_4, all_223_4, all_118_0, int,
% 86.84/12.37 | simplifying with (318), (339) gives:
% 86.84/12.37 | (378) all_223_4 = all_213_4
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_206_1, all_223_4, all_118_0, int,
% 86.84/12.37 | simplifying with (311), (339) gives:
% 86.84/12.37 | (379) all_223_4 = all_206_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_192_1, all_199_1, all_120_0, int,
% 86.84/12.37 | simplifying with (287), (299) gives:
% 86.84/12.37 | (380) all_199_1 = all_192_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_122_0, all_217_4, all_120_0, int,
% 86.84/12.37 | simplifying with (186), (327) gives:
% 86.84/12.37 | (381) all_217_4 = all_122_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_199_1, all_217_3, all_120_0, int,
% 86.84/12.37 | simplifying with (299), (328) gives:
% 86.84/12.37 | (382) all_217_3 = all_199_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_217_4, all_219_5, all_120_0, int,
% 86.84/12.37 | simplifying with (327), (331) gives:
% 86.84/12.37 | (383) all_219_5 = all_217_4
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_192_1, all_219_5, all_120_0, int,
% 86.84/12.37 | simplifying with (287), (331) gives:
% 86.84/12.37 | (384) all_219_5 = all_192_1
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_217_3, all_219_4, all_120_0, int,
% 86.84/12.37 | simplifying with (328), (332) gives:
% 86.84/12.37 | (385) all_219_4 = all_217_3
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_174_0, all_219_4, all_120_0, int,
% 86.84/12.37 | simplifying with (271), (332) gives:
% 86.84/12.37 | (386) all_219_4 = all_174_0
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_219_5, all_221_4, all_120_0, int,
% 86.84/12.37 | simplifying with (331), (336) gives:
% 86.84/12.37 | (387) all_221_4 = all_219_5
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_221_4, all_223_5, all_120_0, int,
% 86.84/12.37 | simplifying with (336), (340) gives:
% 86.84/12.37 | (388) all_223_5 = all_221_4
% 86.84/12.37 |
% 86.84/12.37 | GROUND_INST: instantiating (26) with all_192_0, all_223_5, all_120_0, int,
% 86.84/12.37 | simplifying with (288), (340) gives:
% 86.84/12.38 | (389) all_223_5 = all_192_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (366), (367) imply:
% 86.84/12.38 | (390) all_209_0 = all_156_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (390) implies:
% 86.84/12.38 | (391) all_209_0 = all_156_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (377), (378) imply:
% 86.84/12.38 | (392) all_215_5 = all_213_4
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (377), (379) imply:
% 86.84/12.38 | (393) all_215_5 = all_206_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (376), (377) imply:
% 86.84/12.38 | (394) all_221_3 = all_215_5
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (394) implies:
% 86.84/12.38 | (395) all_221_3 = all_215_5
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (388), (389) imply:
% 86.84/12.38 | (396) all_221_4 = all_192_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (396) implies:
% 86.84/12.38 | (397) all_221_4 = all_192_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (363), (364) imply:
% 86.84/12.38 | (398) all_199_2 = all_192_2
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (398) implies:
% 86.84/12.38 | (399) all_199_2 = all_192_2
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (362), (364) imply:
% 86.84/12.38 | (400) all_204_1 = all_192_2
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (400) implies:
% 86.84/12.38 | (401) all_204_1 = all_192_2
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (364), (365) imply:
% 86.84/12.38 | (402) all_192_2 = all_190_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (375), (395) imply:
% 86.84/12.38 | (403) all_215_5 = all_128_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (403) implies:
% 86.84/12.38 | (404) all_215_5 = all_128_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (387), (397) imply:
% 86.84/12.38 | (405) all_219_5 = all_192_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (405) implies:
% 86.84/12.38 | (406) all_219_5 = all_192_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (360), (361) imply:
% 86.84/12.38 | (407) all_217_1 = all_209_1
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (407) implies:
% 86.84/12.38 | (408) all_217_1 = all_209_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (385), (386) imply:
% 86.84/12.38 | (409) all_217_3 = all_174_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (409) implies:
% 86.84/12.38 | (410) all_217_3 = all_174_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (383), (406) imply:
% 86.84/12.38 | (411) all_217_4 = all_192_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (411) implies:
% 86.84/12.38 | (412) all_217_4 = all_192_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (384), (406) imply:
% 86.84/12.38 | (413) all_192_0 = all_192_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (359), (408) imply:
% 86.84/12.38 | (414) all_209_0 = all_209_1
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (414) implies:
% 86.84/12.38 | (415) all_209_0 = all_209_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (382), (410) imply:
% 86.84/12.38 | (416) all_199_1 = all_174_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (416) implies:
% 86.84/12.38 | (417) all_199_1 = all_174_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (381), (412) imply:
% 86.84/12.38 | (418) all_192_0 = all_122_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (418) implies:
% 86.84/12.38 | (419) all_192_0 = all_122_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (354), (355) imply:
% 86.84/12.38 | (420) all_213_1 = all_197_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (420) implies:
% 86.84/12.38 | (421) all_213_1 = all_197_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (371), (372) imply:
% 86.84/12.38 | (422) all_213_3 = all_188_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (422) implies:
% 86.84/12.38 | (423) all_213_3 = all_188_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (392), (393) imply:
% 86.84/12.38 | (424) all_213_4 = all_206_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (392), (404) imply:
% 86.84/12.38 | (425) all_213_4 = all_128_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (353), (421) imply:
% 86.84/12.38 | (426) all_199_2 = all_197_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (426) implies:
% 86.84/12.38 | (427) all_199_2 = all_197_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (370), (423) imply:
% 86.84/12.38 | (428) all_206_0 = all_188_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (428) implies:
% 86.84/12.38 | (429) all_206_0 = all_188_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (424), (425) imply:
% 86.84/12.38 | (430) all_206_1 = all_128_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (430) implies:
% 86.84/12.38 | (431) all_206_1 = all_128_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (358), (415) imply:
% 86.84/12.38 | (432) all_209_1 = all_197_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (391), (415) imply:
% 86.84/12.38 | (433) all_209_1 = all_156_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (432), (433) imply:
% 86.84/12.38 | (434) all_197_1 = all_156_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (434) implies:
% 86.84/12.38 | (435) all_197_1 = all_156_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (368), (429) imply:
% 86.84/12.38 | (436) all_188_0 = all_124_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (369), (429) imply:
% 86.84/12.38 | (437) all_188_0 = all_172_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (374), (431) imply:
% 86.84/12.38 | (438) all_199_0 = all_128_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (438) implies:
% 86.84/12.38 | (439) all_199_0 = all_128_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (346), (352) imply:
% 86.84/12.38 | (440) all_188_2 = all_160_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (440) implies:
% 86.84/12.38 | (441) all_188_2 = all_160_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (350), (351) imply:
% 86.84/12.38 | (442) all_199_2 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (442) implies:
% 86.84/12.38 | (443) all_199_2 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (357), (401) imply:
% 86.84/12.38 | (444) all_192_2 = all_190_1
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (444) implies:
% 86.84/12.38 | (445) all_192_2 = all_190_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (344), (345) imply:
% 86.84/12.38 | (446) all_186_0 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (446) implies:
% 86.84/12.38 | (447) all_186_0 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (348), (349) imply:
% 86.84/12.38 | (448) all_199_2 = all_195_1
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (448) implies:
% 86.84/12.38 | (449) all_199_2 = all_195_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (373), (439) imply:
% 86.84/12.38 | (450) all_188_1 = all_128_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (380), (417) imply:
% 86.84/12.38 | (451) all_192_1 = all_174_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (451) implies:
% 86.84/12.38 | (452) all_192_1 = all_174_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (399), (427) imply:
% 86.84/12.38 | (453) all_197_0 = all_192_2
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (427), (449) imply:
% 86.84/12.38 | (454) all_197_0 = all_195_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (427), (443) imply:
% 86.84/12.38 | (455) all_197_0 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (453), (454) imply:
% 86.84/12.38 | (456) all_195_1 = all_192_2
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (454), (455) imply:
% 86.84/12.38 | (457) all_195_1 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (356), (435) imply:
% 86.84/12.38 | (458) all_190_0 = all_156_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (458) implies:
% 86.84/12.38 | (459) all_190_0 = all_156_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (341), (343) imply:
% 86.84/12.38 | (460) all_188_2 = all_184_1
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (460) implies:
% 86.84/12.38 | (461) all_188_2 = all_184_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (342), (343) imply:
% 86.84/12.38 | (462) all_186_0 = all_184_1
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (462) implies:
% 86.84/12.38 | (463) all_186_0 = all_184_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (456), (457) imply:
% 86.84/12.38 | (464) all_192_2 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (464) implies:
% 86.84/12.38 | (465) all_192_2 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (413), (419) imply:
% 86.84/12.38 | (466) all_192_1 = all_122_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (466) implies:
% 86.84/12.38 | (467) all_192_1 = all_122_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (452), (467) imply:
% 86.84/12.38 | (468) all_174_0 = all_122_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (402), (445) imply:
% 86.84/12.38 | (469) all_190_0 = all_190_1
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (469) implies:
% 86.84/12.38 | (470) all_190_0 = all_190_1
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (445), (465) imply:
% 86.84/12.38 | (471) all_190_1 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (459), (470) imply:
% 86.84/12.38 | (472) all_190_1 = all_156_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (472) implies:
% 86.84/12.38 | (473) all_190_1 = all_156_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (471), (473) imply:
% 86.84/12.38 | (474) all_156_0 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (436), (437) imply:
% 86.84/12.38 | (475) all_172_0 = all_124_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (347), (441) imply:
% 86.84/12.38 | (476) all_160_0 = all_158_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (441), (461) imply:
% 86.84/12.38 | (477) all_184_1 = all_160_0
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (477) implies:
% 86.84/12.38 | (478) all_184_1 = all_160_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (447), (463) imply:
% 86.84/12.38 | (479) all_184_1 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (479) implies:
% 86.84/12.38 | (480) all_184_1 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (478), (480) imply:
% 86.84/12.38 | (481) all_160_0 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (476), (481) imply:
% 86.84/12.38 | (482) all_158_0 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | SIMP: (482) implies:
% 86.84/12.38 | (483) all_158_0 = all_105_16
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (417), (468) imply:
% 86.84/12.38 | (484) all_199_1 = all_122_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (423), (436) imply:
% 86.84/12.38 | (485) all_213_3 = all_124_0
% 86.84/12.38 |
% 86.84/12.38 | COMBINE_EQS: (372), (436) imply:
% 86.84/12.38 | (486) all_215_4 = all_124_0
% 86.84/12.38 |
% 86.84/12.38 | REDUCE: (285), (465) imply:
% 86.84/12.38 | (487) $lesseq(1, $difference(all_105_16, all_105_13))
% 86.84/12.38 |
% 86.84/12.38 | REDUCE: (324), (404), (486) imply:
% 86.84/12.38 | (488) map_eq_sub1(int, all_128_0, all_124_0, 0, all_105_14) = all_215_3
% 86.84/12.38 |
% 86.84/12.38 | REDUCE: (319), (425), (485) imply:
% 86.84/12.38 | (489) map_eq_sub1(int, all_128_0, all_124_0, 0, all_105_14) = all_213_2
% 86.84/12.38 |
% 86.84/12.38 | REDUCE: (300), (439), (484) imply:
% 86.84/12.38 | (490) permut2(int, all_122_0, all_128_0, all_105_14, $sum(all_105_13, 1)) =
% 86.84/12.38 | 0
% 86.84/12.38 |
% 86.84/12.38 | BETA: splitting (238) gives:
% 86.84/12.38 |
% 86.84/12.38 | Case 1:
% 86.84/12.38 | |
% 86.84/12.38 | | (491) $lesseq(all_105_14, -1)
% 86.84/12.38 | |
% 86.84/12.38 | | COMBINE_INEQS: (29), (491) imply:
% 86.84/12.38 | | (492) $false
% 86.84/12.39 | |
% 86.84/12.39 | | CLOSE: (492) is inconsistent.
% 86.84/12.39 | |
% 86.84/12.39 | Case 2:
% 86.84/12.39 | |
% 86.84/12.39 | | (493) ? [v0: int] : ? [v1: int] : ? [v2: any] : (array_eq_sub1(int,
% 86.84/12.39 | | all_120_0, all_120_0, 0, all_105_14) = v2 & length2(int,
% 86.84/12.39 | | all_120_0) = v1 & length2(int, all_120_0) = v0 & ( ~ (v1 = v0)
% 86.84/12.39 | | | v2 = 0 | ~ ($lesseq(all_105_14, v0)) | ~ ($lesseq(0, v0))))
% 86.84/12.39 | |
% 86.84/12.39 | | COMBINE_INEQS: (29), (30) imply:
% 86.84/12.39 | | (494) $lesseq(0, all_105_11)
% 86.84/12.39 | |
% 86.84/12.39 | | DELTA: instantiating (493) with fresh symbols all_235_0, all_235_1,
% 86.84/12.39 | | all_235_2 gives:
% 86.84/12.39 | | (495) array_eq_sub1(int, all_120_0, all_120_0, 0, all_105_14) = all_235_0
% 86.84/12.39 | | & length2(int, all_120_0) = all_235_1 & length2(int, all_120_0) =
% 86.84/12.39 | | all_235_2 & ( ~ (all_235_1 = all_235_2) | all_235_0 = 0 | ~
% 86.84/12.39 | | ($lesseq(all_105_14, all_235_2)) | ~ ($lesseq(0, all_235_2)))
% 86.84/12.39 | |
% 86.84/12.39 | | ALPHA: (495) implies:
% 86.84/12.39 | | (496) length2(int, all_120_0) = all_235_2
% 86.84/12.39 | | (497) length2(int, all_120_0) = all_235_1
% 86.84/12.39 | |
% 86.84/12.39 | | BETA: splitting (242) gives:
% 86.84/12.39 | |
% 86.84/12.39 | | Case 1:
% 86.84/12.39 | | |
% 86.84/12.39 | | | (498) $lesseq(all_105_14, -1)
% 86.84/12.39 | | |
% 86.84/12.39 | | | COMBINE_INEQS: (29), (498) imply:
% 86.84/12.39 | | | (499) $false
% 86.84/12.39 | | |
% 86.84/12.39 | | | CLOSE: (499) is inconsistent.
% 86.84/12.39 | | |
% 86.84/12.39 | | Case 2:
% 86.84/12.39 | | |
% 86.84/12.39 | | | (500) ? [v0: int] : ? [v1: int] : ? [v2: any] : (array_eq_sub1(int,
% 86.84/12.39 | | | all_120_0, all_118_0, 0, all_105_14) = v2 & length2(int,
% 86.84/12.39 | | | all_120_0) = v0 & length2(int, all_118_0) = v1 & ( ~ (v1 =
% 86.84/12.39 | | | v0) | v2 = 0 | ~ ($lesseq(all_105_14, v0)) | ~
% 86.84/12.39 | | | ($lesseq(0, v0))))
% 86.84/12.39 | | |
% 86.84/12.39 | | | COMBINE_INEQS: (32), (494) imply:
% 86.84/12.39 | | | (501) $lesseq(1, all_105_9)
% 86.84/12.39 | | |
% 86.84/12.39 | | | COMBINE_INEQS: (250), (501) imply:
% 86.84/12.39 | | | (502) $lesseq(2, all_105_16)
% 86.84/12.39 | | |
% 86.84/12.39 | | | DELTA: instantiating (500) with fresh symbols all_242_0, all_242_1,
% 86.84/12.39 | | | all_242_2 gives:
% 86.84/12.39 | | | (503) array_eq_sub1(int, all_120_0, all_118_0, 0, all_105_14) =
% 86.84/12.39 | | | all_242_0 & length2(int, all_120_0) = all_242_2 & length2(int,
% 86.84/12.39 | | | all_118_0) = all_242_1 & ( ~ (all_242_1 = all_242_2) |
% 86.84/12.39 | | | all_242_0 = 0 | ~ ($lesseq(all_105_14, all_242_2)) | ~
% 86.84/12.39 | | | ($lesseq(0, all_242_2)))
% 86.84/12.39 | | |
% 86.84/12.39 | | | ALPHA: (503) implies:
% 86.84/12.39 | | | (504) length2(int, all_118_0) = all_242_1
% 86.84/12.39 | | | (505) length2(int, all_120_0) = all_242_2
% 86.84/12.39 | | |
% 86.84/12.39 | | | BETA: splitting (248) gives:
% 86.84/12.39 | | |
% 86.84/12.39 | | | Case 1:
% 86.84/12.39 | | | |
% 86.84/12.39 | | | | (506) $lesseq(all_105_16, -1)
% 86.84/12.39 | | | |
% 86.84/12.39 | | | | COMBINE_INEQS: (502), (506) imply:
% 86.84/12.39 | | | | (507) $false
% 86.84/12.39 | | | |
% 86.84/12.39 | | | | CLOSE: (507) is inconsistent.
% 86.84/12.39 | | | |
% 86.84/12.39 | | | Case 2:
% 86.84/12.39 | | | |
% 86.84/12.39 | | | | (508) ~ ($lesseq(-1, all_105_13)) | ? [v0: int] : ? [v1: int] : ?
% 86.84/12.39 | | | | [v2: any] : (array_eq_sub1(int, all_118_0, all_116_0,
% 86.84/12.39 | | | | $sum(all_105_13, 1), all_105_16) = v2 & length2(int,
% 86.84/12.39 | | | | all_118_0) = v0 & length2(int, all_116_0) = v1 & ( ~ (v1 =
% 86.84/12.39 | | | | v0) | v2 = 0 | ~ ($lesseq(1, $difference(v0,
% 86.84/12.39 | | | | all_105_13))) | ~ ($lesseq(all_105_16, v0))))
% 86.84/12.39 | | | |
% 86.84/12.39 | | | | BETA: splitting (246) gives:
% 86.84/12.39 | | | |
% 86.84/12.39 | | | | Case 1:
% 86.84/12.39 | | | | |
% 86.84/12.39 | | | | | (509) $lesseq(all_105_14, -1)
% 86.84/12.39 | | | | |
% 86.84/12.39 | | | | | COMBINE_INEQS: (29), (509) imply:
% 86.84/12.39 | | | | | (510) $false
% 86.84/12.39 | | | | |
% 86.84/12.39 | | | | | CLOSE: (510) is inconsistent.
% 86.84/12.39 | | | | |
% 86.84/12.39 | | | | Case 2:
% 86.84/12.39 | | | | |
% 86.84/12.39 | | | | | (511) ? [v0: int] : ? [v1: int] : ? [v2: any] :
% 86.84/12.39 | | | | | (array_eq_sub1(int, all_118_0, all_116_0, 0, all_105_14) = v2
% 86.84/12.39 | | | | | & length2(int, all_118_0) = v0 & length2(int, all_116_0) =
% 86.84/12.39 | | | | | v1 & ( ~ (v1 = v0) | v2 = 0 | ~ ($lesseq(all_105_14, v0))
% 86.84/12.39 | | | | | | ~ ($lesseq(0, v0))))
% 86.84/12.39 | | | | |
% 86.84/12.39 | | | | | DELTA: instantiating (511) with fresh symbols all_254_0, all_254_1,
% 86.84/12.39 | | | | | all_254_2 gives:
% 86.84/12.39 | | | | | (512) array_eq_sub1(int, all_118_0, all_116_0, 0, all_105_14) =
% 86.84/12.39 | | | | | all_254_0 & length2(int, all_118_0) = all_254_2 &
% 86.84/12.39 | | | | | length2(int, all_116_0) = all_254_1 & ( ~ (all_254_1 =
% 86.84/12.39 | | | | | all_254_2) | all_254_0 = 0 | ~ ($lesseq(all_105_14,
% 86.84/12.39 | | | | | all_254_2)) | ~ ($lesseq(0, all_254_2)))
% 86.84/12.39 | | | | |
% 86.84/12.39 | | | | | ALPHA: (512) implies:
% 86.84/12.39 | | | | | (513) length2(int, all_118_0) = all_254_2
% 86.84/12.39 | | | | |
% 86.84/12.39 | | | | | BETA: splitting (240) gives:
% 86.84/12.39 | | | | |
% 86.84/12.39 | | | | | Case 1:
% 86.84/12.39 | | | | | |
% 86.84/12.39 | | | | | | (514) $lesseq(all_105_16, -1)
% 86.84/12.39 | | | | | |
% 86.84/12.39 | | | | | | COMBINE_INEQS: (502), (514) imply:
% 86.84/12.39 | | | | | | (515) $false
% 86.84/12.39 | | | | | |
% 86.84/12.39 | | | | | | CLOSE: (515) is inconsistent.
% 86.84/12.39 | | | | | |
% 86.84/12.39 | | | | | Case 2:
% 86.84/12.39 | | | | | |
% 86.84/12.39 | | | | | | (516) ~ ($lesseq(-1, all_105_13)) | ? [v0: int] : ? [v1: int]
% 86.84/12.39 | | | | | | : ? [v2: any] : (array_eq_sub1(int, all_120_0, all_120_0,
% 86.84/12.39 | | | | | | $sum(all_105_13, 1), all_105_16) = v2 & length2(int,
% 86.84/12.39 | | | | | | all_120_0) = v1 & length2(int, all_120_0) = v0 & ( ~
% 86.84/12.39 | | | | | | (v1 = v0) | v2 = 0 | ~ ($lesseq(1, $difference(v0,
% 86.84/12.39 | | | | | | all_105_13))) | ~ ($lesseq(all_105_16, v0))))
% 86.84/12.39 | | | | | |
% 86.84/12.39 | | | | | | BETA: splitting (244) gives:
% 86.84/12.39 | | | | | |
% 86.84/12.39 | | | | | | Case 1:
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | (517) $lesseq(all_105_16, -1)
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | COMBINE_INEQS: (502), (517) imply:
% 86.84/12.39 | | | | | | | (518) $false
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | CLOSE: (518) is inconsistent.
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | Case 2:
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | (519) ~ ($lesseq(-1, all_105_13)) | ? [v0: int] : ? [v1:
% 86.84/12.39 | | | | | | | int] : ? [v2: any] : (array_eq_sub1(int, all_120_0,
% 86.84/12.39 | | | | | | | all_118_0, $sum(all_105_13, 1), all_105_16) = v2 &
% 86.84/12.39 | | | | | | | length2(int, all_120_0) = v0 & length2(int, all_118_0)
% 86.84/12.39 | | | | | | | = v1 & ( ~ (v1 = v0) | v2 = 0 | ~ ($lesseq(1,
% 86.84/12.39 | | | | | | | $difference(v0, all_105_13))) | ~
% 86.84/12.39 | | | | | | | ($lesseq(all_105_16, v0))))
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | COMBINE_INEQS: (34), (501) imply:
% 86.84/12.39 | | | | | | | (520) $lesseq(1, all_105_8)
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | COMBINE_INEQS: (35), (520) imply:
% 86.84/12.39 | | | | | | | (521) $lesseq(1, all_105_1)
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | COMBINE_INEQS: (36), (521) imply:
% 86.84/12.39 | | | | | | | (522) $lesseq(1, all_105_13)
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | GROUND_INST: instantiating (25) with all_105_16, all_254_2,
% 86.84/12.39 | | | | | | | all_118_0, int, simplifying with (76), (513) gives:
% 86.84/12.39 | | | | | | | (523) all_254_2 = all_105_16
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | GROUND_INST: instantiating (25) with all_242_1, all_254_2,
% 86.84/12.39 | | | | | | | all_118_0, int, simplifying with (504), (513) gives:
% 86.84/12.39 | | | | | | | (524) all_254_2 = all_242_1
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | GROUND_INST: instantiating (25) with all_235_2, all_235_1,
% 86.84/12.39 | | | | | | | all_120_0, int, simplifying with (496), (497) gives:
% 86.84/12.39 | | | | | | | (525) all_235_1 = all_235_2
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | GROUND_INST: instantiating (25) with all_105_16, all_242_2,
% 86.84/12.39 | | | | | | | all_120_0, int, simplifying with (79), (505) gives:
% 86.84/12.39 | | | | | | | (526) all_242_2 = all_105_16
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | GROUND_INST: instantiating (25) with all_235_1, all_242_2,
% 86.84/12.39 | | | | | | | all_120_0, int, simplifying with (497), (505) gives:
% 86.84/12.39 | | | | | | | (527) all_242_2 = all_235_1
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | GROUND_INST: instantiating (27) with 0, all_215_3, all_105_14, 0,
% 86.84/12.39 | | | | | | | all_124_0, all_128_0, int, simplifying with (224),
% 86.84/12.39 | | | | | | | (488) gives:
% 86.84/12.39 | | | | | | | (528) all_215_3 = 0
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | GROUND_INST: instantiating (27) with all_213_2, all_215_3,
% 86.84/12.39 | | | | | | | all_105_14, 0, all_124_0, all_128_0, int, simplifying
% 86.84/12.39 | | | | | | | with (488), (489) gives:
% 86.84/12.39 | | | | | | | (529) all_215_3 = all_213_2
% 86.84/12.39 | | | | | | |
% 86.84/12.39 | | | | | | | COMBINE_EQS: (523), (524) imply:
% 86.84/12.40 | | | | | | | (530) all_242_1 = all_105_16
% 86.84/12.40 | | | | | | |
% 86.84/12.40 | | | | | | | COMBINE_EQS: (526), (527) imply:
% 86.84/12.40 | | | | | | | (531) all_235_1 = all_105_16
% 86.84/12.40 | | | | | | |
% 86.84/12.40 | | | | | | | SIMP: (531) implies:
% 86.84/12.40 | | | | | | | (532) all_235_1 = all_105_16
% 86.84/12.40 | | | | | | |
% 86.84/12.40 | | | | | | | COMBINE_EQS: (525), (532) imply:
% 86.84/12.40 | | | | | | | (533) all_235_2 = all_105_16
% 86.84/12.40 | | | | | | |
% 86.84/12.40 | | | | | | | COMBINE_EQS: (528), (529) imply:
% 86.84/12.40 | | | | | | | (534) all_213_2 = 0
% 86.84/12.40 | | | | | | |
% 86.84/12.40 | | | | | | | BETA: splitting (516) gives:
% 86.84/12.40 | | | | | | |
% 86.84/12.40 | | | | | | | Case 1:
% 86.84/12.40 | | | | | | | |
% 86.84/12.40 | | | | | | | | (535) $lesseq(all_105_13, -2)
% 86.84/12.40 | | | | | | | |
% 86.84/12.40 | | | | | | | | COMBINE_INEQS: (522), (535) imply:
% 86.84/12.40 | | | | | | | | (536) $false
% 86.84/12.40 | | | | | | | |
% 86.84/12.40 | | | | | | | | CLOSE: (536) is inconsistent.
% 86.84/12.40 | | | | | | | |
% 86.84/12.40 | | | | | | | Case 2:
% 86.84/12.40 | | | | | | | |
% 86.84/12.40 | | | | | | | | (537) ? [v0: int] : ? [v1: int] : ? [v2: any] :
% 86.84/12.40 | | | | | | | | (array_eq_sub1(int, all_120_0, all_120_0,
% 86.84/12.40 | | | | | | | | $sum(all_105_13, 1), all_105_16) = v2 &
% 86.84/12.40 | | | | | | | | length2(int, all_120_0) = v1 & length2(int,
% 86.84/12.40 | | | | | | | | all_120_0) = v0 & ( ~ (v1 = v0) | v2 = 0 | ~
% 86.84/12.40 | | | | | | | | ($lesseq(1, $difference(v0, all_105_13))) | ~
% 86.84/12.40 | | | | | | | | ($lesseq(all_105_16, v0))))
% 86.84/12.40 | | | | | | | |
% 86.84/12.40 | | | | | | | | DELTA: instantiating (537) with fresh symbols all_286_0,
% 86.84/12.40 | | | | | | | | all_286_1, all_286_2 gives:
% 86.84/12.40 | | | | | | | | (538) array_eq_sub1(int, all_120_0, all_120_0,
% 86.84/12.40 | | | | | | | | $sum(all_105_13, 1), all_105_16) = all_286_0 &
% 86.84/12.40 | | | | | | | | length2(int, all_120_0) = all_286_1 & length2(int,
% 86.84/12.40 | | | | | | | | all_120_0) = all_286_2 & ( ~ (all_286_1 = all_286_2)
% 86.84/12.40 | | | | | | | | | all_286_0 = 0 | ~ ($lesseq(1,
% 86.84/12.40 | | | | | | | | $difference(all_286_2, all_105_13))) | ~
% 86.84/12.40 | | | | | | | | ($lesseq(all_105_16, all_286_2)))
% 86.84/12.40 | | | | | | | |
% 86.84/12.40 | | | | | | | | ALPHA: (538) implies:
% 86.84/12.40 | | | | | | | | (539) length2(int, all_120_0) = all_286_2
% 86.84/12.40 | | | | | | | | (540) length2(int, all_120_0) = all_286_1
% 86.84/12.40 | | | | | | | |
% 86.84/12.40 | | | | | | | | BETA: splitting (508) gives:
% 86.84/12.40 | | | | | | | |
% 86.84/12.40 | | | | | | | | Case 1:
% 86.84/12.40 | | | | | | | | |
% 86.84/12.40 | | | | | | | | | (541) $lesseq(all_105_13, -2)
% 86.84/12.40 | | | | | | | | |
% 86.84/12.40 | | | | | | | | | COMBINE_INEQS: (522), (541) imply:
% 86.84/12.40 | | | | | | | | | (542) $false
% 86.84/12.40 | | | | | | | | |
% 86.84/12.40 | | | | | | | | | CLOSE: (542) is inconsistent.
% 86.84/12.40 | | | | | | | | |
% 86.84/12.40 | | | | | | | | Case 2:
% 86.84/12.40 | | | | | | | | |
% 86.84/12.40 | | | | | | | | | (543) ? [v0: int] : ? [v1: int] : ? [v2: any] :
% 86.84/12.40 | | | | | | | | | (array_eq_sub1(int, all_118_0, all_116_0,
% 86.84/12.40 | | | | | | | | | $sum(all_105_13, 1), all_105_16) = v2 &
% 86.84/12.40 | | | | | | | | | length2(int, all_118_0) = v0 & length2(int,
% 86.84/12.40 | | | | | | | | | all_116_0) = v1 & ( ~ (v1 = v0) | v2 = 0 | ~
% 86.84/12.40 | | | | | | | | | ($lesseq(1, $difference(v0, all_105_13))) | ~
% 86.84/12.40 | | | | | | | | | ($lesseq(all_105_16, v0))))
% 86.84/12.40 | | | | | | | | |
% 86.84/12.40 | | | | | | | | | DELTA: instantiating (543) with fresh symbols all_328_0,
% 86.84/12.40 | | | | | | | | | all_328_1, all_328_2 gives:
% 86.84/12.40 | | | | | | | | | (544) array_eq_sub1(int, all_118_0, all_116_0,
% 86.84/12.40 | | | | | | | | | $sum(all_105_13, 1), all_105_16) = all_328_0 &
% 86.84/12.40 | | | | | | | | | length2(int, all_118_0) = all_328_2 & length2(int,
% 86.84/12.40 | | | | | | | | | all_116_0) = all_328_1 & ( ~ (all_328_1 =
% 86.84/12.40 | | | | | | | | | all_328_2) | all_328_0 = 0 | ~ ($lesseq(1,
% 86.84/12.40 | | | | | | | | | $difference(all_328_2, all_105_13))) | ~
% 86.84/12.40 | | | | | | | | | ($lesseq(all_105_16, all_328_2)))
% 86.84/12.40 | | | | | | | | |
% 86.84/12.40 | | | | | | | | | ALPHA: (544) implies:
% 86.84/12.40 | | | | | | | | | (545) length2(int, all_118_0) = all_328_2
% 86.84/12.40 | | | | | | | | |
% 86.84/12.40 | | | | | | | | | BETA: splitting (519) gives:
% 86.84/12.40 | | | | | | | | |
% 86.84/12.40 | | | | | | | | | Case 1:
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | (546) $lesseq(all_105_13, -2)
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | COMBINE_INEQS: (522), (546) imply:
% 86.84/12.40 | | | | | | | | | | (547) $false
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | CLOSE: (547) is inconsistent.
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | Case 2:
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | (548) ? [v0: int] : ? [v1: int] : ? [v2: any] :
% 86.84/12.40 | | | | | | | | | | (array_eq_sub1(int, all_120_0, all_118_0,
% 86.84/12.40 | | | | | | | | | | $sum(all_105_13, 1), all_105_16) = v2 &
% 86.84/12.40 | | | | | | | | | | length2(int, all_120_0) = v0 & length2(int,
% 86.84/12.40 | | | | | | | | | | all_118_0) = v1 & ( ~ (v1 = v0) | v2 = 0 | ~
% 86.84/12.40 | | | | | | | | | | ($lesseq(1, $difference(v0, all_105_13))) | ~
% 86.84/12.40 | | | | | | | | | | ($lesseq(all_105_16, v0))))
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | DELTA: instantiating (548) with fresh symbols all_365_0,
% 86.84/12.40 | | | | | | | | | | all_365_1, all_365_2 gives:
% 86.84/12.40 | | | | | | | | | | (549) array_eq_sub1(int, all_120_0, all_118_0,
% 86.84/12.40 | | | | | | | | | | $sum(all_105_13, 1), all_105_16) = all_365_0 &
% 86.84/12.40 | | | | | | | | | | length2(int, all_120_0) = all_365_2 & length2(int,
% 86.84/12.40 | | | | | | | | | | all_118_0) = all_365_1 & ( ~ (all_365_1 =
% 86.84/12.40 | | | | | | | | | | all_365_2) | all_365_0 = 0 | ~ ($lesseq(1,
% 86.84/12.40 | | | | | | | | | | $difference(all_365_2, all_105_13))) | ~
% 86.84/12.40 | | | | | | | | | | ($lesseq(all_105_16, all_365_2)))
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | ALPHA: (549) implies:
% 86.84/12.40 | | | | | | | | | | (550) length2(int, all_118_0) = all_365_1
% 86.84/12.40 | | | | | | | | | | (551) length2(int, all_120_0) = all_365_2
% 86.84/12.40 | | | | | | | | | | (552) ~ (all_365_1 = all_365_2) | all_365_0 = 0 | ~
% 86.84/12.40 | | | | | | | | | | ($lesseq(1, $difference(all_365_2, all_105_13))) |
% 86.84/12.40 | | | | | | | | | | ~ ($lesseq(all_105_16, all_365_2))
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | GROUND_INST: instantiating (25) with all_105_16, all_365_1,
% 86.84/12.40 | | | | | | | | | | all_118_0, int, simplifying with (76), (550)
% 86.84/12.40 | | | | | | | | | | gives:
% 86.84/12.40 | | | | | | | | | | (553) all_365_1 = all_105_16
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | GROUND_INST: instantiating (25) with all_328_2, all_365_1,
% 86.84/12.40 | | | | | | | | | | all_118_0, int, simplifying with (545), (550)
% 86.84/12.40 | | | | | | | | | | gives:
% 86.84/12.40 | | | | | | | | | | (554) all_365_1 = all_328_2
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | GROUND_INST: instantiating (25) with all_105_16, all_286_1,
% 86.84/12.40 | | | | | | | | | | all_120_0, int, simplifying with (79), (540)
% 86.84/12.40 | | | | | | | | | | gives:
% 86.84/12.40 | | | | | | | | | | (555) all_286_1 = all_105_16
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | GROUND_INST: instantiating (25) with all_286_1, all_365_2,
% 86.84/12.40 | | | | | | | | | | all_120_0, int, simplifying with (540), (551)
% 86.84/12.40 | | | | | | | | | | gives:
% 86.84/12.40 | | | | | | | | | | (556) all_365_2 = all_286_1
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | GROUND_INST: instantiating (25) with all_286_2, all_365_2,
% 86.84/12.40 | | | | | | | | | | all_120_0, int, simplifying with (539), (551)
% 86.84/12.40 | | | | | | | | | | gives:
% 86.84/12.40 | | | | | | | | | | (557) all_365_2 = all_286_2
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | COMBINE_EQS: (553), (554) imply:
% 86.84/12.40 | | | | | | | | | | (558) all_328_2 = all_105_16
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | COMBINE_EQS: (556), (557) imply:
% 86.84/12.40 | | | | | | | | | | (559) all_286_1 = all_286_2
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | SIMP: (559) implies:
% 86.84/12.40 | | | | | | | | | | (560) all_286_1 = all_286_2
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | COMBINE_EQS: (555), (560) imply:
% 86.84/12.40 | | | | | | | | | | (561) all_286_2 = all_105_16
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | SIMP: (561) implies:
% 86.84/12.40 | | | | | | | | | | (562) all_286_2 = all_105_16
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | COMBINE_EQS: (557), (562) imply:
% 86.84/12.40 | | | | | | | | | | (563) all_365_2 = all_105_16
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | BETA: splitting (552) gives:
% 86.84/12.40 | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | Case 1:
% 86.84/12.40 | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | (564) ~ (all_365_1 = all_365_2)
% 86.84/12.40 | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | REDUCE: (553), (563), (564) imply:
% 86.84/12.40 | | | | | | | | | | | (565) $false
% 86.84/12.40 | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | CLOSE: (565) is inconsistent.
% 86.84/12.40 | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | Case 2:
% 86.84/12.40 | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | (566) all_365_1 = all_365_2
% 86.84/12.40 | | | | | | | | | | | (567) all_365_0 = 0 | ~ ($lesseq(1,
% 86.84/12.40 | | | | | | | | | | | $difference(all_365_2, all_105_13))) | ~
% 86.84/12.40 | | | | | | | | | | | ($lesseq(all_105_16, all_365_2))
% 86.84/12.40 | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | COMBINE_EQS: (553), (566) imply:
% 86.84/12.40 | | | | | | | | | | | (568) all_365_2 = all_105_16
% 86.84/12.40 | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | BETA: splitting (567) gives:
% 86.84/12.40 | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | Case 1:
% 86.84/12.40 | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | (569) $lesseq(1, $difference(all_105_16, all_365_2))
% 86.84/12.40 | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | REDUCE: (563), (569) imply:
% 86.84/12.40 | | | | | | | | | | | | (570) $false
% 86.84/12.40 | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | CLOSE: (570) is inconsistent.
% 86.84/12.40 | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | Case 2:
% 86.84/12.40 | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | (571) all_365_0 = 0 | ~ ($lesseq(1,
% 86.84/12.40 | | | | | | | | | | | | $difference(all_365_2, all_105_13)))
% 86.84/12.40 | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | BETA: splitting (571) gives:
% 86.84/12.40 | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | Case 1:
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | (572) $lesseq(all_365_2, all_105_13)
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | REDUCE: (563), (572) imply:
% 86.84/12.40 | | | | | | | | | | | | | (573) $lesseq(all_105_16, all_105_13)
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | COMBINE_INEQS: (487), (573) imply:
% 86.84/12.40 | | | | | | | | | | | | | (574) $false
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | CLOSE: (574) is inconsistent.
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | Case 2:
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | (575) $lesseq(1, $difference(all_365_2, all_105_13))
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | COMBINE_INEQS: (35), (36) imply:
% 86.84/12.40 | | | | | | | | | | | | | (576) $lesseq(all_105_8, all_105_13)
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | COMBINE_INEQS: (34), (576) imply:
% 86.84/12.40 | | | | | | | | | | | | | (577) $lesseq(all_105_9, all_105_13)
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_105_7, all_105_3, 0,
% 86.84/12.40 | | | | | | | | | | | | | all_105_16, all_105_11, all_105_9, all_128_0,
% 86.84/12.40 | | | | | | | | | | | | | all_124_0, all_105_1, all_105_0, simplifying with
% 86.84/12.40 | | | | | | | | | | | | | (39), (40), (47), (218), (230), (231) gives:
% 86.84/12.40 | | | | | | | | | | | | | (578) all_105_1 = all_105_9 | all_105_1 = all_105_11 |
% 86.84/12.40 | | | | | | | | | | | | | ~ ($lesseq(1, $difference(all_105_16, all_105_1)))
% 86.84/12.40 | | | | | | | | | | | | | | ~ ($lesseq(0, all_105_1)) | get3(all_105_7,
% 86.84/12.40 | | | | | | | | | | | | | all_105_1) = all_105_0
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_105_7, all_105_3, 0,
% 86.84/12.40 | | | | | | | | | | | | | all_105_16, all_105_11, all_105_9, all_128_0,
% 86.84/12.40 | | | | | | | | | | | | | all_124_0, all_105_8, all_105_5, simplifying with
% 86.84/12.40 | | | | | | | | | | | | | (39), (40), (46), (218), (230), (231) gives:
% 86.84/12.40 | | | | | | | | | | | | | (579) all_105_8 = all_105_9 | all_105_8 = all_105_11 |
% 86.84/12.40 | | | | | | | | | | | | | ~ ($lesseq(1, $difference(all_105_16, all_105_8)))
% 86.84/12.40 | | | | | | | | | | | | | | ~ ($lesseq(0, all_105_8)) | get3(all_105_3,
% 86.84/12.40 | | | | | | | | | | | | | all_105_8) = all_105_5
% 86.84/12.40 | | | | | | | | | | | | |
% 86.84/12.40 | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_105_7, all_105_3, 0,
% 86.84/12.40 | | | | | | | | | | | | | all_105_16, all_105_11, all_105_9, all_128_0,
% 86.84/12.40 | | | | | | | | | | | | | all_124_0, simplifying with (39), (40), (218),
% 86.84/12.40 | | | | | | | | | | | | | (230), (231) gives:
% 86.84/12.41 | | | | | | | | | | | | | (580) ? [v0: int] : ? [v1: int] : (get3(all_105_3,
% 86.84/12.41 | | | | | | | | | | | | | all_105_9) = v0 & get3(all_105_3, all_105_11)
% 86.84/12.41 | | | | | | | | | | | | | = v1 & get3(all_105_7, all_105_9) = v1 &
% 86.84/12.41 | | | | | | | | | | | | | get3(all_105_7, all_105_11) = v0)
% 86.84/12.41 | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_105_7, all_105_3, 0,
% 86.84/12.41 | | | | | | | | | | | | | all_105_14, all_128_0, all_124_0, all_105_1,
% 86.84/12.41 | | | | | | | | | | | | | all_105_0, simplifying with (39), (40), (47),
% 86.84/12.41 | | | | | | | | | | | | | (224), (230), (231) gives:
% 86.84/12.41 | | | | | | | | | | | | | (581) ~ ($lesseq(1, $difference(all_105_14,
% 86.84/12.41 | | | | | | | | | | | | | all_105_1))) | ~ ($lesseq(0, all_105_1)) |
% 86.84/12.41 | | | | | | | | | | | | | get3(all_105_7, all_105_1) = all_105_0
% 86.84/12.41 | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_105_15, all_105_7,
% 86.84/12.41 | | | | | | | | | | | | | all_105_14, $sum(all_105_13, 1), all_105_9,
% 86.84/12.41 | | | | | | | | | | | | | all_122_0, all_128_0, all_105_4, simplifying with
% 86.84/12.41 | | | | | | | | | | | | | (38), (39), (45), (229), (231), (490) gives:
% 86.84/12.41 | | | | | | | | | | | | | (582) ~ ($lesseq(all_105_9, all_105_13)) | ~
% 86.84/12.41 | | | | | | | | | | | | | ($lesseq(all_105_14, all_105_9)) | ? [v0: int] :
% 86.84/12.41 | | | | | | | | | | | | | ($lesseq(v0, all_105_13) & $lesseq(all_105_14, v0)
% 86.84/12.41 | | | | | | | | | | | | | & get3(all_105_15, v0) = all_105_4)
% 86.84/12.41 | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | DELTA: instantiating (580) with fresh symbols all_442_0,
% 86.84/12.41 | | | | | | | | | | | | | all_442_1 gives:
% 86.84/12.41 | | | | | | | | | | | | | (583) get3(all_105_3, all_105_9) = all_442_1 &
% 86.84/12.41 | | | | | | | | | | | | | get3(all_105_3, all_105_11) = all_442_0 &
% 86.84/12.41 | | | | | | | | | | | | | get3(all_105_7, all_105_9) = all_442_0 &
% 86.84/12.41 | | | | | | | | | | | | | get3(all_105_7, all_105_11) = all_442_1
% 86.84/12.41 | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | ALPHA: (583) implies:
% 86.84/12.41 | | | | | | | | | | | | | (584) get3(all_105_7, all_105_11) = all_442_1
% 86.84/12.41 | | | | | | | | | | | | | (585) get3(all_105_3, all_105_9) = all_442_1
% 86.84/12.41 | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | BETA: splitting (582) gives:
% 86.84/12.41 | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | (586) $lesseq(1, $difference(all_105_9, all_105_13))
% 86.84/12.41 | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | COMBINE_INEQS: (577), (586) imply:
% 86.84/12.41 | | | | | | | | | | | | | | (587) $false
% 86.84/12.41 | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | CLOSE: (587) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | (588) ~ ($lesseq(all_105_14, all_105_9)) | ? [v0: int]
% 86.84/12.41 | | | | | | | | | | | | | | : ($lesseq(v0, all_105_13) & $lesseq(all_105_14,
% 86.84/12.41 | | | | | | | | | | | | | | v0) & get3(all_105_15, v0) = all_105_4)
% 86.84/12.41 | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | BETA: splitting (588) gives:
% 86.84/12.41 | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | (589) $lesseq(1, $difference(all_105_14, all_105_9))
% 86.84/12.41 | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | COMBINE_INEQS: (31), (589) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | (590) $false
% 86.84/12.41 | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | CLOSE: (590) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_105_10, all_442_1,
% 86.84/12.41 | | | | | | | | | | | | | | | all_105_11, all_105_7, simplifying with (44),
% 86.84/12.41 | | | | | | | | | | | | | | | (584) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | (591) all_442_1 = all_105_10
% 86.84/12.41 | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_105_0, all_442_1,
% 86.84/12.41 | | | | | | | | | | | | | | | all_105_9, all_105_3, simplifying with (585)
% 86.84/12.41 | | | | | | | | | | | | | | | gives:
% 86.84/12.41 | | | | | | | | | | | | | | | (592) all_442_1 = all_105_0 | ~ (get3(all_105_3,
% 86.84/12.41 | | | | | | | | | | | | | | | all_105_9) = all_105_0)
% 86.84/12.41 | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 86.84/12.41 | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | (593) $lesseq(1, $difference(all_105_10, all_105_4))
% 86.84/12.41 | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | (594) $lesseq(1, $difference(all_105_5, all_105_10))
% 86.84/12.41 | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | COMBINE_INEQS: (33), (494) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | (595) $lesseq(0, all_105_8)
% 86.84/12.41 | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | COMBINE_INEQS: (35), (595) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | (596) $lesseq(0, all_105_1)
% 86.84/12.41 | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | (597) ~ (get3(all_105_7, all_105_9) = all_105_5)
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (46), (597) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | (598) ~ (all_105_8 = all_105_9)
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | STRENGTHEN: (34), (598) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | (599) $lesseq(1, $difference(all_105_8, all_105_9))
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | (600) ~ (get3(all_105_7, all_105_11) = all_105_5)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (46), (600) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | (601) ~ (all_105_8 = all_105_11)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | STRENGTHEN: (33), (601) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | (602) $lesseq(1, $difference(all_105_8, all_105_11))
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (581) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | (603) get3(all_105_7, all_105_1) = all_105_0
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_105_1, all_105_0,
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | simplifying with (603) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | (604) ~ ($lesseq(1, $difference(all_105_10,
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | all_105_0))) | ~ ($lesseq(all_105_1,
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | all_105_13)) | ~ ($lesseq(1,
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | $difference(all_105_1, all_105_9)))
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (604) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | (605) $lesseq(1, $difference(all_105_1, all_105_13))
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (36), (605) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | (606) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | CLOSE: (606) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | (607) ~ ($lesseq(1, $difference(all_105_10,
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | all_105_0))) | ~ ($lesseq(1,
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | $difference(all_105_1, all_105_9)))
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (607) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | (608) $lesseq(all_105_10, all_105_0)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (37), (608) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | (609) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (609) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | (610) $lesseq(all_105_1, all_105_9)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (35), (610) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | (611) $lesseq(all_105_8, all_105_9)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (599), (611) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | (612) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (612) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | End of split
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | (613) ~ (get3(all_105_7, all_105_1) = all_105_0)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (578) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | (614) get3(all_105_7, all_105_1) = all_105_0
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (613), (614) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | (615) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | CLOSE: (615) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | (616) all_105_1 = all_105_9 | all_105_1 = all_105_11 |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | ~ ($lesseq(1, $difference(all_105_16, all_105_1)))
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | ~ ($lesseq(0, all_105_1))
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (616) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | (617) $lesseq(all_105_1, -1)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (596), (617) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | (618) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (618) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | (619) all_105_1 = all_105_9 | all_105_1 = all_105_11 |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | ~ ($lesseq(1, $difference(all_105_16, all_105_1)))
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (619) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | (620) $lesseq(all_105_16, all_105_1)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (36), (620) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | (621) $lesseq(all_105_16, all_105_13)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (487), (621) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | (622) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (622) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | (623) all_105_1 = all_105_9 | all_105_1 = all_105_11
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (623) gives:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (624) all_105_1 = all_105_9
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (624) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (625) $lesseq(all_105_8, all_105_9)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (599), (625) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (626) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (626) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (627) all_105_1 = all_105_11
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (627) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (628) $lesseq(all_105_8, all_105_11)
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (602), (628) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | (629) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (629) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | | End of split
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | End of split
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | (630) all_105_5 = all_105_10
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | REDUCE: (594), (630) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | (631) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | | CLOSE: (631) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | End of split
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | (632) all_105_4 = all_105_5
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | REDUCE: (593), (632) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | (633) $lesseq(1, $difference(all_105_10, all_105_5))
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (594), (633) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | | (634) $false
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | | CLOSE: (634) is inconsistent.
% 86.84/12.41 | | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | End of split
% 86.84/12.41 | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | Case 2:
% 86.84/12.41 | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | (635) $lesseq(all_105_13, all_105_8)
% 86.84/12.41 | | | | | | | | | | | | | | | | | (636) $lesseq(all_105_5, all_105_10)
% 86.84/12.41 | | | | | | | | | | | | | | | | |
% 86.84/12.41 | | | | | | | | | | | | | | | | | ANTI_SYMM: (576), (635) imply:
% 86.84/12.41 | | | | | | | | | | | | | | | | | (637) all_105_8 = all_105_13
% 86.84/12.41 | | | | | | | | | | | | | | | | |
% 86.84/12.42 | | | | | | | | | | | | | | | | | REDUCE: (35), (637) imply:
% 86.84/12.42 | | | | | | | | | | | | | | | | | (638) $lesseq(all_105_13, all_105_1)
% 86.84/12.42 | | | | | | | | | | | | | | | | |
% 86.84/12.42 | | | | | | | | | | | | | | | | | ANTI_SYMM: (36), (638) imply:
% 86.84/12.42 | | | | | | | | | | | | | | | | | (639) all_105_1 = all_105_13
% 86.84/12.42 | | | | | | | | | | | | | | | | |
% 86.84/12.42 | | | | | | | | | | | | | | | | | REDUCE: (47), (639) imply:
% 86.84/12.42 | | | | | | | | | | | | | | | | | (640) get3(all_105_3, all_105_13) = all_105_0
% 86.84/12.42 | | | | | | | | | | | | | | | | |
% 86.84/12.42 | | | | | | | | | | | | | | | | | REDUCE: (46), (637) imply:
% 86.84/12.42 | | | | | | | | | | | | | | | | | (641) get3(all_105_7, all_105_13) = all_105_5
% 86.84/12.42 | | | | | | | | | | | | | | | | |
% 86.84/12.42 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_105_5, all_105_0,
% 86.84/12.42 | | | | | | | | | | | | | | | | | all_105_13, all_105_7, simplifying with (641)
% 86.84/12.42 | | | | | | | | | | | | | | | | | gives:
% 86.84/12.42 | | | | | | | | | | | | | | | | | (642) all_105_0 = all_105_5 | ~ (get3(all_105_7,
% 86.84/12.42 | | | | | | | | | | | | | | | | | all_105_13) = all_105_0)
% 86.84/12.42 | | | | | | | | | | | | | | | | |
% 86.84/12.42 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_105_10, all_105_0,
% 86.84/12.42 | | | | | | | | | | | | | | | | | all_105_13, all_105_3, simplifying with (640)
% 86.84/12.42 | | | | | | | | | | | | | | | | | gives:
% 86.84/12.42 | | | | | | | | | | | | | | | | | (643) all_105_0 = all_105_10 | ~ (get3(all_105_3,
% 86.84/12.42 | | | | | | | | | | | | | | | | | all_105_13) = all_105_10)
% 86.84/12.42 | | | | | | | | | | | | | | | | |
% 86.84/12.42 | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 86.84/12.42 | | | | | | | | | | | | | | | | |
% 86.84/12.42 | | | | | | | | | | | | | | | | | Case 1:
% 86.84/12.42 | | | | | | | | | | | | | | | | | |
% 86.84/12.42 | | | | | | | | | | | | | | | | | | (644) ~ (get3(all_105_7, all_105_9) = all_105_5)
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (641), (644) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | (645) ~ (all_105_9 = all_105_13)
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | STRENGTHEN: (577), (645) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | (646) $lesseq(1, $difference(all_105_13, all_105_9))
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | (647) $lesseq(1, $difference(all_105_8, all_105_13))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | REDUCE: (637), (647) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | (648) $false
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | CLOSE: (648) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | (649) ~ ($lesseq(1, $difference(all_105_10,
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | all_105_5))) | ~ ($lesseq(1,
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | $difference(all_105_8, all_105_9)))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (579) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | (650) get3(all_105_3, all_105_8) = all_105_5
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (650) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | (651) get3(all_105_3, all_105_13) = all_105_5
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (649) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | (652) $lesseq(all_105_10, all_105_5)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | ANTI_SYMM: (636), (652) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | (653) all_105_5 = all_105_10
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (653) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | (654) get3(all_105_3, all_105_13) = all_105_10
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (643) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (655) ~ (get3(all_105_3, all_105_13) = all_105_10)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (654), (655) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (656) $false
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (656) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (657) all_105_0 = all_105_10
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (657) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (658) $false
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (658) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | (659) $lesseq(1, $difference(all_105_10, all_105_5))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (577), (591), (592), (637), (640), (649),
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | (659) are inconsistent by sub-proof #1.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | (660) ~ (get3(all_105_3, all_105_8) = all_105_5)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (660) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | (661) ~ (get3(all_105_3, all_105_13) = all_105_5)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (578) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | (662) get3(all_105_7, all_105_1) = all_105_0
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (662) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | (663) get3(all_105_7, all_105_13) = all_105_0
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (664) ~ (get3(all_105_7, all_105_13) = all_105_0)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (663), (664) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (665) $false
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (665) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (666) all_105_0 = all_105_5
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (666) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (667) get3(all_105_3, all_105_13) = all_105_5
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (661), (667) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (668) $false
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (668) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | (669) all_105_1 = all_105_9 | all_105_1 = all_105_11 |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | ~ ($lesseq(1, $difference(all_105_16, all_105_1)))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | ~ ($lesseq(0, all_105_1))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (669) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (670) $lesseq(all_105_1, -1)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (670) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (671) $lesseq(all_105_13, -1)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (32), (646) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (672) $lesseq(2, $difference(all_105_13, all_105_11))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (494), (672) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (673) $lesseq(2, all_105_13)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (671), (673) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (674) $false
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (674) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | (675) all_105_1 = all_105_9 | all_105_1 = all_105_11 |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | ~ ($lesseq(1, $difference(all_105_16, all_105_1)))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (675) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | (676) $lesseq(all_105_16, all_105_1)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (676) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | (677) $lesseq(all_105_16, all_105_13)
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (487), (677) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | (678) $false
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (678) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | (679) all_105_1 = all_105_9 | all_105_1 = all_105_11
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (679) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | (680) all_105_1 = all_105_9
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (680) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | (681) all_105_9 = all_105_13
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (591), (592), (640), (681) are inconsistent
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | (682) all_105_1 = all_105_11
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (682) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | (683) all_105_11 = all_105_13
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (683) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | (684) $lesseq(1, $difference(all_105_9, all_105_13))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_INEQS: (646), (684) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | (685) $false
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (685) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | (686) all_105_4 = all_105_5
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | REDUCE: (593), (686) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | (687) $lesseq(1, $difference(all_105_10, all_105_5))
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | Case 1:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | (688) $lesseq(1, $difference(all_105_8, all_105_13))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | REDUCE: (637), (688) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | (689) $false
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | CLOSE: (689) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | (690) ~ ($lesseq(1, $difference(all_105_10,
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | all_105_5))) | ~ ($lesseq(1,
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | $difference(all_105_8, all_105_9)))
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (577), (591), (592), (637), (640), (687),
% 87.15/12.42 | | | | | | | | | | | | | | | | | | | (690) are inconsistent by sub-proof #1.
% 87.15/12.42 | | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | Case 2:
% 87.15/12.42 | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | (691) $lesseq(all_105_9, all_105_14)
% 87.15/12.42 | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | COMBINE_INEQS: (32), (691) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | (692) $lesseq(1, $difference(all_105_14, all_105_11))
% 87.15/12.42 | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | COMBINE_INEQS: (30), (692) imply:
% 87.15/12.42 | | | | | | | | | | | | | | | | (693) $false
% 87.15/12.42 | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | | CLOSE: (693) is inconsistent.
% 87.15/12.42 | | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | | |
% 87.15/12.42 | | | | | | | | | End of split
% 87.15/12.42 | | | | | | | | |
% 87.15/12.42 | | | | | | | | End of split
% 87.15/12.42 | | | | | | | |
% 87.15/12.42 | | | | | | | End of split
% 87.15/12.42 | | | | | | |
% 87.15/12.43 | | | | | | End of split
% 87.15/12.43 | | | | | |
% 87.15/12.43 | | | | | End of split
% 87.15/12.43 | | | | |
% 87.15/12.43 | | | | End of split
% 87.15/12.43 | | | |
% 87.15/12.43 | | | End of split
% 87.15/12.43 | | |
% 87.15/12.43 | | End of split
% 87.15/12.43 | |
% 87.15/12.43 | End of split
% 87.15/12.43 |
% 87.15/12.43 End of proof
% 87.15/12.43
% 87.15/12.43 Sub-proof #1 shows that the following formulas are inconsistent:
% 87.15/12.43 ----------------------------------------------------------------
% 87.15/12.43 (1) ~ ($lesseq(1, $difference(all_105_10, all_105_5))) | ~ ($lesseq(1,
% 87.15/12.43 $difference(all_105_8, all_105_9)))
% 87.15/12.43 (2) $lesseq(1, $difference(all_105_10, all_105_5))
% 87.15/12.43 (3) $lesseq(all_105_9, all_105_13)
% 87.15/12.43 (4) all_442_1 = all_105_0 | ~ (get3(all_105_3, all_105_9) = all_105_0)
% 87.15/12.43 (5) all_442_1 = all_105_10
% 87.15/12.43 (6) $lesseq(1, $difference(all_105_10, all_105_0))
% 87.15/12.43 (7) all_105_8 = all_105_13
% 87.15/12.43 (8) get3(all_105_3, all_105_13) = all_105_0
% 87.15/12.43
% 87.15/12.43 Begin of proof
% 87.15/12.43 |
% 87.15/12.43 | BETA: splitting (1) gives:
% 87.15/12.43 |
% 87.15/12.43 | Case 1:
% 87.15/12.43 | |
% 87.15/12.43 | | (9) $lesseq(all_105_10, all_105_5)
% 87.15/12.43 | |
% 87.15/12.43 | | COMBINE_INEQS: (2), (9) imply:
% 87.15/12.43 | | (10) $false
% 87.15/12.43 | |
% 87.15/12.43 | | CLOSE: (10) is inconsistent.
% 87.15/12.43 | |
% 87.15/12.43 | Case 2:
% 87.15/12.43 | |
% 87.15/12.43 | | (11) $lesseq(all_105_8, all_105_9)
% 87.15/12.43 | |
% 87.15/12.43 | | REDUCE: (7), (11) imply:
% 87.15/12.43 | | (12) $lesseq(all_105_13, all_105_9)
% 87.15/12.43 | |
% 87.15/12.43 | | ANTI_SYMM: (3), (12) imply:
% 87.15/12.43 | | (13) all_105_9 = all_105_13
% 87.15/12.43 | |
% 87.15/12.43 | | REF_CLOSE: (4), (5), (6), (8), (13) are inconsistent by sub-proof #2.
% 87.15/12.43 | |
% 87.15/12.43 | End of split
% 87.15/12.43 |
% 87.15/12.43 End of proof
% 87.15/12.43
% 87.15/12.43 Sub-proof #2 shows that the following formulas are inconsistent:
% 87.15/12.43 ----------------------------------------------------------------
% 87.15/12.43 (1) all_105_9 = all_105_13
% 87.15/12.43 (2) all_442_1 = all_105_0 | ~ (get3(all_105_3, all_105_9) = all_105_0)
% 87.15/12.43 (3) all_442_1 = all_105_10
% 87.15/12.43 (4) $lesseq(1, $difference(all_105_10, all_105_0))
% 87.15/12.43 (5) get3(all_105_3, all_105_13) = all_105_0
% 87.15/12.43
% 87.15/12.43 Begin of proof
% 87.15/12.43 |
% 87.15/12.43 | BETA: splitting (2) gives:
% 87.15/12.43 |
% 87.15/12.43 | Case 1:
% 87.15/12.43 | |
% 87.15/12.43 | | (6) ~ (get3(all_105_3, all_105_9) = all_105_0)
% 87.15/12.43 | |
% 87.15/12.43 | | REDUCE: (1), (6) imply:
% 87.15/12.43 | | (7) ~ (get3(all_105_3, all_105_13) = all_105_0)
% 87.15/12.43 | |
% 87.15/12.43 | | PRED_UNIFY: (5), (7) imply:
% 87.15/12.43 | | (8) $false
% 87.15/12.43 | |
% 87.15/12.43 | | CLOSE: (8) is inconsistent.
% 87.15/12.43 | |
% 87.15/12.43 | Case 2:
% 87.15/12.43 | |
% 87.15/12.43 | | (9) all_442_1 = all_105_0
% 87.15/12.43 | |
% 87.15/12.43 | | COMBINE_EQS: (3), (9) imply:
% 87.15/12.43 | | (10) all_105_0 = all_105_10
% 87.15/12.43 | |
% 87.15/12.43 | | REDUCE: (4), (10) imply:
% 87.15/12.43 | | (11) $false
% 87.15/12.43 | |
% 87.15/12.43 | | CLOSE: (11) is inconsistent.
% 87.15/12.43 | |
% 87.15/12.43 | End of split
% 87.15/12.43 |
% 87.15/12.43 End of proof
% 87.15/12.43 % SZS output end Proof for theBenchmark
% 87.15/12.43
% 87.15/12.43 11894ms
%------------------------------------------------------------------------------