TSTP Solution File: LCL674+1.001 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LCL674+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n026.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 : Thu Aug 31 08:12:21 EDT 2023
% Result : Theorem 6.12s 1.66s
% Output : Proof 14.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL674+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 07:12:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.12/1.08 Prover 4: Preprocessing ...
% 2.12/1.08 Prover 1: Preprocessing ...
% 2.75/1.12 Prover 5: Preprocessing ...
% 2.75/1.12 Prover 0: Preprocessing ...
% 2.75/1.12 Prover 2: Preprocessing ...
% 2.75/1.12 Prover 3: Preprocessing ...
% 2.75/1.12 Prover 6: Preprocessing ...
% 4.13/1.33 Prover 2: Proving ...
% 4.13/1.33 Prover 5: Proving ...
% 4.13/1.36 Prover 6: Proving ...
% 4.13/1.38 Prover 3: Constructing countermodel ...
% 4.13/1.39 Prover 1: Constructing countermodel ...
% 4.13/1.47 Prover 3: gave up
% 4.13/1.48 Prover 1: gave up
% 4.13/1.48 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.13/1.49 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.91/1.52 Prover 7: Preprocessing ...
% 4.91/1.54 Prover 8: Preprocessing ...
% 4.91/1.56 Prover 7: Warning: ignoring some quantifiers
% 4.91/1.58 Prover 7: Constructing countermodel ...
% 6.12/1.61 Prover 8: Warning: ignoring some quantifiers
% 6.12/1.61 Prover 7: gave up
% 6.12/1.62 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 6.12/1.63 Prover 8: Constructing countermodel ...
% 6.12/1.65 Prover 9: Preprocessing ...
% 6.12/1.66 Prover 2: proved (1025ms)
% 6.12/1.66
% 6.12/1.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.12/1.66
% 6.12/1.68 Prover 6: stopped
% 6.12/1.68 Prover 5: stopped
% 6.12/1.68 Prover 8: gave up
% 6.12/1.68 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.12/1.68 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.12/1.68 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.12/1.68 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 6.82/1.72 Prover 16: Preprocessing ...
% 6.82/1.73 Prover 11: Preprocessing ...
% 6.82/1.73 Prover 13: Preprocessing ...
% 6.82/1.74 Prover 10: Preprocessing ...
% 6.82/1.76 Prover 16: Warning: ignoring some quantifiers
% 6.82/1.76 Prover 13: Warning: ignoring some quantifiers
% 6.82/1.77 Prover 10: Warning: ignoring some quantifiers
% 6.82/1.77 Prover 16: Constructing countermodel ...
% 6.82/1.78 Prover 13: Constructing countermodel ...
% 6.82/1.78 Prover 10: Constructing countermodel ...
% 7.54/1.80 Prover 10: gave up
% 7.54/1.80 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 7.54/1.80 Prover 13: gave up
% 7.54/1.80 Prover 16: gave up
% 7.54/1.82 Prover 4: Constructing countermodel ...
% 7.54/1.83 Prover 19: Preprocessing ...
% 7.54/1.83 Prover 0: Proving ...
% 7.54/1.85 Prover 0: stopped
% 8.26/1.91 Prover 19: Warning: ignoring some quantifiers
% 8.26/1.92 Prover 19: Constructing countermodel ...
% 8.26/1.95 Prover 9: Constructing countermodel ...
% 8.26/1.95 Prover 9: stopped
% 9.02/2.00 Prover 11: Constructing countermodel ...
% 9.72/2.15 Prover 19: gave up
% 14.18/2.95 Prover 11: Found proof (size 39)
% 14.18/2.95 Prover 11: proved (1267ms)
% 14.18/2.95 Prover 4: stopped
% 14.18/2.95
% 14.18/2.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.18/2.95
% 14.18/2.96 % SZS output start Proof for theBenchmark
% 14.18/2.97 Assumptions after simplification:
% 14.18/2.97 ---------------------------------
% 14.18/2.97
% 14.18/2.97 (main)
% 14.64/3.10 ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & p100(v0) = 0 & p101(v0) = v1 &
% 14.64/3.10 $i(v0) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (p2(v2) = v3) | ~ $i(v2)
% 14.64/3.10 | ? [v4: int] : ( ~ (v4 = 0) & r1(v0, v2) = v4)) & ! [v2: $i] : ! [v3:
% 14.64/3.10 any] : ( ~ (p100(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int] : ?
% 14.64/3.10 [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] : ?
% 14.64/3.10 [v11: int] : ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15: int]
% 14.64/3.10 : ? [v16: int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9) & (( ~
% 14.64/3.10 (v4 = 0) & r1(v0, v2) = v4) | (( ~ (v3 = 0) | (v18 = 0 & v15 = 0 &
% 14.64/3.10 v13 = 0 & v11 = 0 & v10 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & ~
% 14.64/3.10 (v12 = 0) & p102(v14) = v17 & p102(v9) = v12 & p101(v14) = 0 &
% 14.64/3.10 p101(v9) = 0 & p2(v14) = v16 & p2(v9) = 0 & r1(v2, v14) = 0 &
% 14.64/3.10 r1(v2, v9) = 0) | (v5 = 0 & p101(v2) = 0)) & ( ~ (v3 = 0) |
% 14.64/3.10 (((v7 = 0 & p1(v2) = 0) | ( ! [v19: $i] : ( ~ (p100(v19) = 0) | ~
% 14.64/3.10 $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) &
% 14.64/3.10 p1(v19) = v21) | ( ~ (v20 = 0) & r1(v2, v19) = v20)))
% 14.64/3.10 & ! [v19: $i] : ( ~ (p1(v19) = 0) | ~ $i(v19) | ? [v20:
% 14.64/3.10 int] : ? [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21)
% 14.64/3.10 | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] :
% 14.64/3.10 ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: int] : ?
% 14.64/3.10 [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21) | ( ~ (v20
% 14.64/3.10 = 0) & p1(v19) = v20))))) & (( ~ (v7 = 0) & p1(v2) =
% 14.64/3.10 v7) | ( ! [v19: $i] : ! [v20: int] : (v20 = 0 | ~ (p1(v19)
% 14.64/3.10 = v20) | ~ $i(v19) | ? [v21: int] : ? [v22: int] : ((
% 14.64/3.10 ~ (v22 = 0) & p100(v19) = v22) | ( ~ (v21 = 0) &
% 14.64/3.10 r1(v2, v19) = v21))) & ! [v19: $i] : ( ~ (p100(v19) =
% 14.64/3.10 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v21
% 14.64/3.10 = 0 & p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) =
% 14.64/3.10 v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~
% 14.64/3.10 $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 &
% 14.64/3.10 p1(v19) = 0) | ( ~ (v21 = 0) & p100(v19) = v21)))))))
% 14.64/3.10 & (v3 = 0 | ( ~ (v5 = 0) & p101(v2) = v5)) & ((v5 = 0 & p101(v2) =
% 14.64/3.10 0) | ( ~ (v8 = 0) & p102(v2) = v8)) & (( ~ (v5 = 0) & p101(v2) =
% 14.64/3.10 v5) | (((v6 = 0 & p2(v2) = 0) | ( ! [v19: $i] : ( ~ (p101(v19) =
% 14.64/3.10 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~
% 14.64/3.10 (v21 = 0) & p2(v19) = v21) | ( ~ (v20 = 0) & r1(v2,
% 14.64/3.10 v19) = v20))) & ! [v19: $i] : ( ~ (p2(v19) = 0) |
% 14.64/3.10 ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0)
% 14.64/3.10 & p101(v19) = v21) | ( ~ (v20 = 0) & r1(v2, v19) =
% 14.64/3.10 v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~
% 14.64/3.10 $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) &
% 14.64/3.10 p101(v19) = v21) | ( ~ (v20 = 0) & p2(v19) = v20)))))
% 14.64/3.10 & (( ~ (v6 = 0) & p2(v2) = v6) | ( ! [v19: $i] : ! [v20: int] :
% 14.64/3.10 (v20 = 0 | ~ (p2(v19) = v20) | ~ $i(v19) | ? [v21: int] :
% 14.64/3.10 ? [v22: int] : (( ~ (v22 = 0) & p101(v19) = v22) | ( ~
% 14.64/3.10 (v21 = 0) & r1(v2, v19) = v21))) & ! [v19: $i] : ( ~
% 14.64/3.10 (p101(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21:
% 14.64/3.10 int] : ((v21 = 0 & p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2,
% 14.64/3.10 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0)
% 14.64/3.10 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 &
% 14.64/3.10 p2(v19) = 0) | ( ~ (v21 = 0) & p101(v19) =
% 14.64/3.10 v21))))))))))) & ! [v2: $i] : ! [v3: any] : ( ~
% 14.64/3.10 (p1(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 14.64/3.10 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] : ? [v11: int] :
% 14.64/3.10 ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15: int] : ? [v16:
% 14.64/3.10 int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9) & (( ~ (v4 = 0)
% 14.64/3.10 & r1(v0, v2) = v4) | (((v18 = 0 & v15 = 0 & v13 = 0 & v11 = 0 & v10
% 14.64/3.10 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & ~ (v12 = 0) & p102(v14) =
% 14.64/3.10 v17 & p102(v9) = v12 & p101(v14) = 0 & p101(v9) = 0 & p2(v14) =
% 14.64/3.10 v16 & p2(v9) = 0 & r1(v2, v14) = 0 & r1(v2, v9) = 0) | (v5 = 0 &
% 14.64/3.10 p101(v2) = 0) | ( ~ (v6 = 0) & p100(v2) = v6)) & ((v6 = 0 &
% 14.64/3.10 p100(v2) = 0) | ( ~ (v5 = 0) & p101(v2) = v5)) & ((v5 = 0 &
% 14.64/3.10 p101(v2) = 0) | ( ~ (v8 = 0) & p102(v2) = v8)) & (( ~ (v6 = 0) &
% 14.64/3.10 p100(v2) = v6) | (( ~ (v3 = 0) | ( ! [v19: $i] : ! [v20: int] :
% 14.64/3.10 (v20 = 0 | ~ (p1(v19) = v20) | ~ $i(v19) | ? [v21: int] :
% 14.64/3.10 ? [v22: int] : (( ~ (v22 = 0) & p100(v19) = v22) | ( ~
% 14.64/3.10 (v21 = 0) & r1(v2, v19) = v21))) & ! [v19: $i] : ( ~
% 14.64/3.10 (p100(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21:
% 14.64/3.10 int] : ((v21 = 0 & p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2,
% 14.64/3.10 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0)
% 14.64/3.10 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 &
% 14.64/3.10 p1(v19) = 0) | ( ~ (v21 = 0) & p100(v19) = v21))))) &
% 14.64/3.10 (v3 = 0 | ( ! [v19: $i] : ( ~ (p100(v19) = 0) | ~ $i(v19) | ?
% 14.64/3.10 [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & p1(v19) =
% 14.64/3.10 v21) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & ! [v19:
% 14.64/3.10 $i] : ( ~ (p1(v19) = 0) | ~ $i(v19) | ? [v20: int] : ?
% 14.64/3.10 [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21) | ( ~ (v20
% 14.64/3.11 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] : ( ~
% 14.64/3.11 (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21:
% 14.64/3.11 int] : (( ~ (v21 = 0) & p100(v19) = v21) | ( ~ (v20 = 0)
% 14.64/3.11 & p1(v19) = v20))))))) & (( ~ (v5 = 0) & p101(v2) =
% 14.64/3.11 v5) | (((v7 = 0 & p2(v2) = 0) | ( ! [v19: $i] : ( ~ (p101(v19) =
% 14.64/3.11 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~
% 14.64/3.11 (v21 = 0) & p2(v19) = v21) | ( ~ (v20 = 0) & r1(v2,
% 14.64/3.11 v19) = v20))) & ! [v19: $i] : ( ~ (p2(v19) = 0) |
% 14.64/3.11 ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0)
% 14.64/3.11 & p101(v19) = v21) | ( ~ (v20 = 0) & r1(v2, v19) =
% 14.64/3.11 v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~
% 14.64/3.11 $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) &
% 14.64/3.11 p101(v19) = v21) | ( ~ (v20 = 0) & p2(v19) = v20)))))
% 14.64/3.11 & (( ~ (v7 = 0) & p2(v2) = v7) | ( ! [v19: $i] : ! [v20: int] :
% 14.64/3.11 (v20 = 0 | ~ (p2(v19) = v20) | ~ $i(v19) | ? [v21: int] :
% 14.64/3.11 ? [v22: int] : (( ~ (v22 = 0) & p101(v19) = v22) | ( ~
% 14.64/3.11 (v21 = 0) & r1(v2, v19) = v21))) & ! [v19: $i] : ( ~
% 14.64/3.11 (p101(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21:
% 14.64/3.11 int] : ((v21 = 0 & p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2,
% 14.64/3.11 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0)
% 14.64/3.11 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 &
% 14.64/3.11 p2(v19) = 0) | ( ~ (v21 = 0) & p101(v19) =
% 14.64/3.11 v21))))))))))) & ! [v2: $i] : ! [v3: any] : ( ~
% 14.64/3.11 (p102(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 14.64/3.11 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] : ? [v11: int]
% 14.64/3.11 : ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15: int] : ? [v16:
% 14.64/3.11 int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9) & (( ~ (v4 = 0)
% 14.64/3.11 & r1(v0, v2) = v4) | (( ~ (v3 = 0) | (v5 = 0 & p101(v2) = 0)) &
% 14.64/3.11 ((v18 = 0 & v15 = 0 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v17 = 0) &
% 14.64/3.11 ~ (v16 = 0) & ~ (v12 = 0) & p102(v14) = v17 & p102(v9) = v12 &
% 14.64/3.11 p101(v14) = 0 & p101(v9) = 0 & p2(v14) = v16 & p2(v9) = 0 &
% 14.64/3.11 r1(v2, v14) = 0 & r1(v2, v9) = 0) | (v5 = 0 & p101(v2) = 0) | (
% 14.64/3.11 ~ (v6 = 0) & p100(v2) = v6)) & ((v6 = 0 & p100(v2) = 0) | ( ~
% 14.64/3.11 (v5 = 0) & p101(v2) = v5)) & (( ~ (v6 = 0) & p100(v2) = v6) |
% 14.64/3.11 (((v8 = 0 & p1(v2) = 0) | ( ! [v19: $i] : ( ~ (p100(v19) = 0) | ~
% 14.64/3.11 $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) &
% 14.64/3.11 p1(v19) = v21) | ( ~ (v20 = 0) & r1(v2, v19) = v20)))
% 14.64/3.11 & ! [v19: $i] : ( ~ (p1(v19) = 0) | ~ $i(v19) | ? [v20:
% 14.64/3.11 int] : ? [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21)
% 14.64/3.11 | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] :
% 14.64/3.11 ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: int] : ?
% 14.64/3.11 [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21) | ( ~ (v20
% 14.64/3.11 = 0) & p1(v19) = v20))))) & (( ~ (v8 = 0) & p1(v2) =
% 14.64/3.11 v8) | ( ! [v19: $i] : ! [v20: int] : (v20 = 0 | ~ (p1(v19)
% 14.64/3.11 = v20) | ~ $i(v19) | ? [v21: int] : ? [v22: int] : ((
% 14.64/3.11 ~ (v22 = 0) & p100(v19) = v22) | ( ~ (v21 = 0) &
% 14.64/3.11 r1(v2, v19) = v21))) & ! [v19: $i] : ( ~ (p100(v19) =
% 14.64/3.11 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v21
% 14.64/3.11 = 0 & p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) =
% 14.64/3.11 v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~
% 14.64/3.11 $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 &
% 14.64/3.11 p1(v19) = 0) | ( ~ (v21 = 0) & p100(v19) = v21)))))))
% 14.64/3.11 & (( ~ (v5 = 0) & p101(v2) = v5) | (((v7 = 0 & p2(v2) = 0) | ( !
% 14.64/3.11 [v19: $i] : ( ~ (p101(v19) = 0) | ~ $i(v19) | ? [v20: int]
% 14.64/3.11 : ? [v21: int] : (( ~ (v21 = 0) & p2(v19) = v21) | ( ~
% 14.64/3.11 (v20 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] : ( ~
% 14.64/3.11 (p2(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int]
% 14.64/3.11 : (( ~ (v21 = 0) & p101(v19) = v21) | ( ~ (v20 = 0) &
% 14.64/3.11 r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19)
% 14.64/3.11 = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~
% 14.64/3.11 (v21 = 0) & p101(v19) = v21) | ( ~ (v20 = 0) & p2(v19)
% 14.64/3.11 = v20))))) & (( ~ (v7 = 0) & p2(v2) = v7) | ( ! [v19:
% 14.64/3.11 $i] : ! [v20: int] : (v20 = 0 | ~ (p2(v19) = v20) | ~
% 14.64/3.11 $i(v19) | ? [v21: int] : ? [v22: int] : (( ~ (v22 = 0) &
% 14.64/3.11 p101(v19) = v22) | ( ~ (v21 = 0) & r1(v2, v19) =
% 14.64/3.11 v21))) & ! [v19: $i] : ( ~ (p101(v19) = 0) | ~
% 14.64/3.11 $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 = 0 &
% 14.64/3.11 p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) &
% 14.64/3.11 ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20:
% 14.64/3.11 int] : ? [v21: int] : ((v20 = 0 & p2(v19) = 0) | ( ~
% 14.64/3.11 (v21 = 0) & p101(v19) = v21))))))))))) & ! [v2: $i] :
% 14.64/3.11 ! [v3: any] : ( ~ (p101(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int]
% 14.64/3.11 : ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int]
% 14.64/3.11 : ? [v11: int] : ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15:
% 14.64/3.11 int] : ? [v16: int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9)
% 14.64/3.11 & (( ~ (v4 = 0) & r1(v0, v2) = v4) | (( ~ (v3 = 0) | (v5 = 0 & p100(v2)
% 14.64/3.11 = 0)) & ( ~ (v3 = 0) | (((v6 = 0 & p2(v2) = 0) | ( ! [v19: $i] :
% 14.64/3.11 ( ~ (p101(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21:
% 14.64/3.11 int] : (( ~ (v21 = 0) & p2(v19) = v21) | ( ~ (v20 = 0) &
% 14.64/3.11 r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ (p2(v19) =
% 14.64/3.11 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~
% 14.64/3.11 (v21 = 0) & p101(v19) = v21) | ( ~ (v20 = 0) & r1(v2,
% 14.64/3.11 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0)
% 14.64/3.11 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 =
% 14.64/3.11 0) & p101(v19) = v21) | ( ~ (v20 = 0) & p2(v19) =
% 14.64/3.11 v20))))) & (( ~ (v6 = 0) & p2(v2) = v6) | ( ! [v19:
% 14.64/3.11 $i] : ! [v20: int] : (v20 = 0 | ~ (p2(v19) = v20) | ~
% 14.64/3.11 $i(v19) | ? [v21: int] : ? [v22: int] : (( ~ (v22 = 0) &
% 14.64/3.11 p101(v19) = v22) | ( ~ (v21 = 0) & r1(v2, v19) =
% 14.64/3.11 v21))) & ! [v19: $i] : ( ~ (p101(v19) = 0) | ~
% 14.64/3.11 $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 = 0 &
% 14.64/3.11 p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) &
% 14.64/3.11 ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20:
% 14.64/3.11 int] : ? [v21: int] : ((v20 = 0 & p2(v19) = 0) | ( ~
% 14.64/3.11 (v21 = 0) & p101(v19) = v21))))))) & (v3 = 0 | (v18 =
% 14.64/3.11 0 & v15 = 0 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v17 = 0) & ~
% 14.64/3.11 (v16 = 0) & ~ (v12 = 0) & p102(v14) = v17 & p102(v9) = v12 &
% 14.64/3.11 p101(v14) = 0 & p101(v9) = 0 & p2(v14) = v16 & p2(v9) = 0 &
% 14.64/3.11 r1(v2, v14) = 0 & r1(v2, v9) = 0) | ( ~ (v5 = 0) & p100(v2) =
% 14.64/3.11 v5)) & (v3 = 0 | ( ~ (v8 = 0) & p102(v2) = v8)) & (( ~ (v5 = 0)
% 14.64/3.11 & p100(v2) = v5) | (((v7 = 0 & p1(v2) = 0) | ( ! [v19: $i] : ( ~
% 14.64/3.11 (p100(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21:
% 14.64/3.11 int] : (( ~ (v21 = 0) & p1(v19) = v21) | ( ~ (v20 = 0) &
% 14.64/3.11 r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ (p1(v19) =
% 14.64/3.11 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~
% 14.64/3.11 (v21 = 0) & p100(v19) = v21) | ( ~ (v20 = 0) & r1(v2,
% 14.64/3.11 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0)
% 14.64/3.11 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 =
% 14.64/3.11 0) & p100(v19) = v21) | ( ~ (v20 = 0) & p1(v19) =
% 14.64/3.11 v20))))) & (( ~ (v7 = 0) & p1(v2) = v7) | ( ! [v19:
% 14.64/3.11 $i] : ! [v20: int] : (v20 = 0 | ~ (p1(v19) = v20) | ~
% 14.64/3.11 $i(v19) | ? [v21: int] : ? [v22: int] : (( ~ (v22 = 0) &
% 14.64/3.11 p100(v19) = v22) | ( ~ (v21 = 0) & r1(v2, v19) =
% 14.64/3.11 v21))) & ! [v19: $i] : ( ~ (p100(v19) = 0) | ~
% 14.64/3.11 $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 = 0 &
% 14.64/3.11 p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) &
% 14.64/3.11 ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20:
% 14.64/3.11 int] : ? [v21: int] : ((v20 = 0 & p1(v19) = 0) | ( ~
% 14.64/3.11 (v21 = 0) & p100(v19) = v21))))))))))) & ! [v2: $i] :
% 14.64/3.11 ! [v3: any] : ( ~ (p2(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int] :
% 14.64/3.11 ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] :
% 14.64/3.11 ? [v11: int] : ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15:
% 14.64/3.11 int] : ? [v16: int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9)
% 14.64/3.11 & (( ~ (v4 = 0) & r1(v0, v2) = v4) | (((v18 = 0 & v15 = 0 & v13 = 0 &
% 14.64/3.11 v11 = 0 & v10 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & ~ (v12 = 0) &
% 14.64/3.11 p102(v14) = v17 & p102(v9) = v12 & p101(v14) = 0 & p101(v9) = 0
% 14.64/3.11 & p2(v14) = v16 & p2(v9) = 0 & r1(v2, v14) = 0 & r1(v2, v9) = 0)
% 14.64/3.11 | (v5 = 0 & p101(v2) = 0) | ( ~ (v6 = 0) & p100(v2) = v6)) & ((v6
% 14.64/3.11 = 0 & p100(v2) = 0) | ( ~ (v5 = 0) & p101(v2) = v5)) & ((v5 = 0
% 14.64/3.11 & p101(v2) = 0) | ( ~ (v8 = 0) & p102(v2) = v8)) & (( ~ (v6 = 0)
% 14.64/3.11 & p100(v2) = v6) | (((v7 = 0 & p1(v2) = 0) | ( ! [v19: $i] : ( ~
% 14.64/3.11 (p100(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21:
% 14.64/3.11 int] : (( ~ (v21 = 0) & p1(v19) = v21) | ( ~ (v20 = 0) &
% 14.64/3.11 r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ (p1(v19) =
% 14.64/3.11 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~
% 14.64/3.11 (v21 = 0) & p100(v19) = v21) | ( ~ (v20 = 0) & r1(v2,
% 14.64/3.11 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0)
% 14.64/3.11 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 =
% 14.64/3.11 0) & p100(v19) = v21) | ( ~ (v20 = 0) & p1(v19) =
% 14.64/3.11 v20))))) & (( ~ (v7 = 0) & p1(v2) = v7) | ( ! [v19:
% 14.64/3.11 $i] : ! [v20: int] : (v20 = 0 | ~ (p1(v19) = v20) | ~
% 14.64/3.11 $i(v19) | ? [v21: int] : ? [v22: int] : (( ~ (v22 = 0) &
% 14.64/3.11 p100(v19) = v22) | ( ~ (v21 = 0) & r1(v2, v19) =
% 14.64/3.11 v21))) & ! [v19: $i] : ( ~ (p100(v19) = 0) | ~
% 14.64/3.11 $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 = 0 &
% 14.64/3.11 p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) &
% 14.64/3.11 ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20:
% 14.64/3.11 int] : ? [v21: int] : ((v20 = 0 & p1(v19) = 0) | ( ~
% 14.64/3.11 (v21 = 0) & p100(v19) = v21))))))) & (( ~ (v5 = 0) &
% 14.64/3.11 p101(v2) = v5) | (( ~ (v3 = 0) | ( ! [v19: $i] : ! [v20: int] :
% 14.64/3.11 (v20 = 0 | ~ (p2(v19) = v20) | ~ $i(v19) | ? [v21: int] :
% 14.64/3.11 ? [v22: int] : (( ~ (v22 = 0) & p101(v19) = v22) | ( ~
% 14.64/3.11 (v21 = 0) & r1(v2, v19) = v21))) & ! [v19: $i] : ( ~
% 14.64/3.11 (p101(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21:
% 14.64/3.11 int] : ((v21 = 0 & p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2,
% 14.64/3.11 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0)
% 14.64/3.11 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 &
% 14.64/3.11 p2(v19) = 0) | ( ~ (v21 = 0) & p101(v19) = v21))))) &
% 14.64/3.11 (v3 = 0 | ( ! [v19: $i] : ( ~ (p101(v19) = 0) | ~ $i(v19) | ?
% 14.64/3.11 [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & p2(v19) =
% 14.64/3.11 v21) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & ! [v19:
% 14.64/3.11 $i] : ( ~ (p2(v19) = 0) | ~ $i(v19) | ? [v20: int] : ?
% 14.64/3.11 [v21: int] : (( ~ (v21 = 0) & p101(v19) = v21) | ( ~ (v20
% 14.64/3.11 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] : ( ~
% 14.64/3.11 (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21:
% 14.64/3.11 int] : (( ~ (v21 = 0) & p101(v19) = v21) | ( ~ (v20 = 0)
% 14.64/3.11 & p2(v19) = v20))))))))))) & ! [v2: $i] : ( ~ (r1(v0,
% 14.64/3.11 v2) = 0) | ~ $i(v2) | p2(v2) = 0) & ! [v2: $i] : ( ~ (r1(v0, v2) =
% 14.64/3.11 0) | ~ $i(v2) | ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6:
% 14.64/3.11 int] : ? [v7: int] : ? [v8: $i] : ? [v9: int] : ? [v10: int] : ?
% 14.64/3.11 [v11: int] : ? [v12: int] : ? [v13: $i] : ? [v14: int] : ? [v15: int]
% 14.64/3.11 : ? [v16: int] : ? [v17: int] : ($i(v13) & $i(v8) & ((v17 = 0 & v14 = 0
% 14.64/3.11 & v12 = 0 & v10 = 0 & v9 = 0 & ~ (v16 = 0) & ~ (v15 = 0) & ~ (v11
% 14.64/3.11 = 0) & p102(v13) = v16 & p102(v8) = v11 & p101(v13) = 0 & p101(v8)
% 14.64/3.11 = 0 & p2(v13) = v15 & p2(v8) = 0 & r1(v2, v13) = 0 & r1(v2, v8) = 0)
% 14.64/3.11 | (v3 = 0 & p101(v2) = 0) | ( ~ (v4 = 0) & p100(v2) = v4)) & ((v4 = 0
% 14.64/3.11 & p100(v2) = 0) | ( ~ (v3 = 0) & p101(v2) = v3)) & ((v3 = 0 &
% 14.64/3.11 p101(v2) = 0) | ( ~ (v7 = 0) & p102(v2) = v7)) & (( ~ (v4 = 0) &
% 14.64/3.11 p100(v2) = v4) | (((v6 = 0 & p1(v2) = 0) | ( ! [v18: $i] : ( ~
% 14.64/3.11 (p100(v18) = 0) | ~ $i(v18) | ? [v19: int] : ? [v20: int] :
% 14.64/3.11 (( ~ (v20 = 0) & p1(v18) = v20) | ( ~ (v19 = 0) & r1(v2, v18)
% 14.64/3.11 = v19))) & ! [v18: $i] : ( ~ (p1(v18) = 0) | ~ $i(v18) |
% 14.64/3.11 ? [v19: int] : ? [v20: int] : (( ~ (v20 = 0) & p100(v18) =
% 14.64/3.11 v20) | ( ~ (v19 = 0) & r1(v2, v18) = v19))) & ! [v18: $i]
% 14.64/3.11 : ( ~ (r1(v2, v18) = 0) | ~ $i(v18) | ? [v19: int] : ? [v20:
% 14.64/3.11 int] : (( ~ (v20 = 0) & p100(v18) = v20) | ( ~ (v19 = 0) &
% 14.64/3.11 p1(v18) = v19))))) & (( ~ (v6 = 0) & p1(v2) = v6) | ( !
% 14.64/3.11 [v18: $i] : ! [v19: int] : (v19 = 0 | ~ (p1(v18) = v19) | ~
% 14.64/3.11 $i(v18) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) &
% 14.64/3.11 p100(v18) = v21) | ( ~ (v20 = 0) & r1(v2, v18) = v20))) &
% 14.64/3.11 ! [v18: $i] : ( ~ (p100(v18) = 0) | ~ $i(v18) | ? [v19: int] :
% 14.64/3.11 ? [v20: int] : ((v20 = 0 & p1(v18) = 0) | ( ~ (v19 = 0) &
% 14.64/3.11 r1(v2, v18) = v19))) & ! [v18: $i] : ( ~ (r1(v2, v18) =
% 14.64/3.11 0) | ~ $i(v18) | ? [v19: int] : ? [v20: int] : ((v19 = 0
% 14.64/3.11 & p1(v18) = 0) | ( ~ (v20 = 0) & p100(v18) = v20))))))) &
% 14.64/3.11 (( ~ (v3 = 0) & p101(v2) = v3) | (((v5 = 0 & p2(v2) = 0) | ( ! [v18: $i]
% 14.64/3.11 : ( ~ (p101(v18) = 0) | ~ $i(v18) | ? [v19: int] : ? [v20:
% 14.64/3.11 int] : (( ~ (v20 = 0) & p2(v18) = v20) | ( ~ (v19 = 0) &
% 14.64/3.11 r1(v2, v18) = v19))) & ! [v18: $i] : ( ~ (p2(v18) = 0) |
% 14.64/3.11 ~ $i(v18) | ? [v19: int] : ? [v20: int] : (( ~ (v20 = 0) &
% 14.64/3.11 p101(v18) = v20) | ( ~ (v19 = 0) & r1(v2, v18) = v19))) &
% 14.64/3.11 ! [v18: $i] : ( ~ (r1(v2, v18) = 0) | ~ $i(v18) | ? [v19: int]
% 14.64/3.11 : ? [v20: int] : (( ~ (v20 = 0) & p101(v18) = v20) | ( ~ (v19
% 14.64/3.11 = 0) & p2(v18) = v19))))) & (( ~ (v5 = 0) & p2(v2) = v5)
% 14.64/3.11 | ( ! [v18: $i] : ! [v19: int] : (v19 = 0 | ~ (p2(v18) = v19) |
% 14.64/3.11 ~ $i(v18) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) &
% 14.64/3.11 p101(v18) = v21) | ( ~ (v20 = 0) & r1(v2, v18) = v20))) &
% 14.64/3.11 ! [v18: $i] : ( ~ (p101(v18) = 0) | ~ $i(v18) | ? [v19: int] :
% 14.64/3.11 ? [v20: int] : ((v20 = 0 & p2(v18) = 0) | ( ~ (v19 = 0) &
% 14.64/3.11 r1(v2, v18) = v19))) & ! [v18: $i] : ( ~ (r1(v2, v18) =
% 14.64/3.11 0) | ~ $i(v18) | ? [v19: int] : ? [v20: int] : ((v19 = 0
% 14.64/3.11 & p2(v18) = 0) | ( ~ (v20 = 0) & p101(v18) = v20))))))))))
% 14.64/3.11
% 14.64/3.11 (reflexivity)
% 14.64/3.12 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (r1(v0, v0) = v1) | ~ $i(v0))
% 14.64/3.12
% 14.64/3.12 (function-axioms)
% 14.64/3.12 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 14.64/3.12 [v3: $i] : (v1 = v0 | ~ (r1(v3, v2) = v1) | ~ (r1(v3, v2) = v0)) & ! [v0:
% 14.64/3.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 14.64/3.12 ~ (p100(v2) = v1) | ~ (p100(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 14.64/3.12 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (p1(v2) = v1) | ~
% 14.64/3.12 (p1(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 14.64/3.12 ! [v2: $i] : (v1 = v0 | ~ (p102(v2) = v1) | ~ (p102(v2) = v0)) & ! [v0:
% 14.64/3.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 14.64/3.12 ~ (p101(v2) = v1) | ~ (p101(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 14.64/3.12 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (p2(v2) = v1) | ~
% 14.64/3.12 (p2(v2) = v0))
% 14.64/3.12
% 14.64/3.12 Further assumptions not needed in the proof:
% 14.64/3.12 --------------------------------------------
% 14.64/3.12 transitivity
% 14.64/3.12
% 14.64/3.12 Those formulas are unsatisfiable:
% 14.64/3.12 ---------------------------------
% 14.64/3.12
% 14.64/3.12 Begin of proof
% 14.64/3.12 |
% 14.64/3.12 | ALPHA: (function-axioms) implies:
% 14.64/3.12 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 14.64/3.12 | (v1 = v0 | ~ (p2(v2) = v1) | ~ (p2(v2) = v0))
% 14.64/3.12 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 14.64/3.12 | (v1 = v0 | ~ (p101(v2) = v1) | ~ (p101(v2) = v0))
% 14.64/3.12 |
% 14.64/3.12 | DELTA: instantiating (main) with fresh symbols all_5_0, all_5_1 gives:
% 14.64/3.15 | (3) ~ (all_5_0 = 0) & p100(all_5_1) = 0 & p101(all_5_1) = all_5_0 &
% 14.64/3.15 | $i(all_5_1) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (p2(v0) = v1) |
% 14.64/3.15 | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & r1(all_5_1, v0) = v2)) & !
% 14.64/3.15 | [v0: $i] : ! [v1: any] : ( ~ (p100(v0) = v1) | ~ $i(v0) | ? [v2:
% 14.64/3.15 | int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 14.64/3.15 | ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11:
% 14.64/3.15 | int] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int]
% 14.64/3.15 | : ? [v16: int] : ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0)
% 14.64/3.15 | = v2) | (( ~ (v1 = 0) | (v16 = 0 & v13 = 0 & v11 = 0 & v9 = 0 &
% 14.64/3.15 | v8 = 0 & ~ (v15 = 0) & ~ (v14 = 0) & ~ (v10 = 0) &
% 14.64/3.15 | p102(v12) = v15 & p102(v7) = v10 & p101(v12) = 0 & p101(v7)
% 14.64/3.15 | = 0 & p2(v12) = v14 & p2(v7) = 0 & r1(v0, v12) = 0 & r1(v0,
% 14.64/3.15 | v7) = 0) | (v3 = 0 & p101(v0) = 0)) & ( ~ (v1 = 0) |
% 14.64/3.15 | (((v5 = 0 & p1(v0) = 0) | ( ! [v17: $i] : ( ~ (p100(v17) = 0)
% 14.64/3.15 | | ~ $i(v17) | ? [v18: int] : ? [v19: int] : (( ~
% 14.64/3.15 | (v19 = 0) & p1(v17) = v19) | ( ~ (v18 = 0) &
% 14.64/3.15 | r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? [v19:
% 14.64/3.15 | int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ (v18
% 14.64/3.15 | = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : (
% 14.64/3.15 | ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & p1(v17) = v18))))) & (( ~ (v5 = 0) &
% 14.64/3.15 | p1(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0
% 14.64/3.15 | | ~ (p1(v17) = v18) | ~ $i(v17) | ? [v19: int] :
% 14.64/3.15 | ? [v20: int] : (( ~ (v20 = 0) & p100(v17) = v20) | (
% 14.64/3.15 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i]
% 14.64/3.15 | : ( ~ (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.15 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.15 | & p100(v17) = v19))))))) & (v1 = 0 | ( ~ (v3 = 0)
% 14.64/3.15 | & p101(v0) = v3)) & ((v3 = 0 & p101(v0) = 0) | ( ~ (v6 = 0)
% 14.64/3.15 | & p102(v0) = v6)) & (( ~ (v3 = 0) & p101(v0) = v3) | (((v4
% 14.64/3.15 | = 0 & p2(v0) = 0) | ( ! [v17: $i] : ( ~ (p101(v17) = 0)
% 14.64/3.15 | | ~ $i(v17) | ? [v18: int] : ? [v19: int] : (( ~
% 14.64/3.15 | (v19 = 0) & p2(v17) = v19) | ( ~ (v18 = 0) &
% 14.64/3.15 | r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? [v19:
% 14.64/3.15 | int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ (v18
% 14.64/3.15 | = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : (
% 14.64/3.15 | ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v4 = 0) &
% 14.64/3.15 | p2(v0) = v4) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0
% 14.64/3.15 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] :
% 14.64/3.15 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | (
% 14.64/3.15 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i]
% 14.64/3.15 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.15 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.15 | & p101(v17) = v19))))))))))) & ! [v0: $i] : !
% 14.64/3.15 | [v1: any] : ( ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int]
% 14.64/3.15 | : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8:
% 14.64/3.15 | int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: $i]
% 14.64/3.15 | : ? [v13: int] : ? [v14: int] : ? [v15: int] : ? [v16: int] :
% 14.64/3.15 | ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) = v2) | (((v16 =
% 14.64/3.15 | 0 & v13 = 0 & v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~
% 14.64/3.15 | (v14 = 0) & ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10
% 14.64/3.15 | & p101(v12) = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0
% 14.64/3.15 | & r1(v0, v12) = 0 & r1(v0, v7) = 0) | (v3 = 0 & p101(v0) =
% 14.64/3.15 | 0) | ( ~ (v4 = 0) & p100(v0) = v4)) & ((v4 = 0 & p100(v0) =
% 14.64/3.15 | 0) | ( ~ (v3 = 0) & p101(v0) = v3)) & ((v3 = 0 & p101(v0) =
% 14.64/3.15 | 0) | ( ~ (v6 = 0) & p102(v0) = v6)) & (( ~ (v4 = 0) &
% 14.64/3.15 | p100(v0) = v4) | (( ~ (v1 = 0) | ( ! [v17: $i] : ! [v18:
% 14.64/3.15 | int] : (v18 = 0 | ~ (p1(v17) = v18) | ~ $i(v17) |
% 14.64/3.15 | ? [v19: int] : ? [v20: int] : (( ~ (v20 = 0) &
% 14.64/3.15 | p100(v17) = v20) | ( ~ (v19 = 0) & r1(v0, v17) =
% 14.64/3.15 | v19))) & ! [v17: $i] : ( ~ (p100(v17) = 0) | ~
% 14.64/3.15 | $i(v17) | ? [v18: int] : ? [v19: int] : ((v19 = 0 &
% 14.64/3.15 | p1(v17) = 0) | ( ~ (v18 = 0) & r1(v0, v17) =
% 14.64/3.15 | v18))) & ! [v17: $i] : ( ~ (r1(v0, v17) = 0) |
% 14.64/3.15 | ~ $i(v17) | ? [v18: int] : ? [v19: int] : ((v18 = 0
% 14.64/3.15 | & p1(v17) = 0) | ( ~ (v19 = 0) & p100(v17) =
% 14.64/3.15 | v19))))) & (v1 = 0 | ( ! [v17: $i] : ( ~
% 14.64/3.15 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p1(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & p1(v17) = v18))))))) & (( ~ (v3 = 0)
% 14.64/3.15 | & p101(v0) = v3) | (((v5 = 0 & p2(v0) = 0) | ( ! [v17: $i]
% 14.64/3.15 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p2(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v5 = 0) &
% 14.64/3.15 | p2(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0
% 14.64/3.15 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] :
% 14.64/3.15 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | (
% 14.64/3.15 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i]
% 14.64/3.15 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.15 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.15 | & p101(v17) = v19))))))))))) & ! [v0: $i] : !
% 14.64/3.15 | [v1: any] : ( ~ (p102(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3:
% 14.64/3.15 | int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: $i] :
% 14.64/3.15 | ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12:
% 14.64/3.15 | $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] : ? [v16: int]
% 14.64/3.15 | : ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) = v2) | (( ~
% 14.64/3.15 | (v1 = 0) | (v3 = 0 & p101(v0) = 0)) & ((v16 = 0 & v13 = 0 &
% 14.64/3.15 | v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~ (v14 = 0) &
% 14.64/3.15 | ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10 & p101(v12)
% 14.64/3.15 | = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0 & r1(v0,
% 14.64/3.15 | v12) = 0 & r1(v0, v7) = 0) | (v3 = 0 & p101(v0) = 0) | (
% 14.64/3.15 | ~ (v4 = 0) & p100(v0) = v4)) & ((v4 = 0 & p100(v0) = 0) | (
% 14.64/3.15 | ~ (v3 = 0) & p101(v0) = v3)) & (( ~ (v4 = 0) & p100(v0) =
% 14.64/3.15 | v4) | (((v6 = 0 & p1(v0) = 0) | ( ! [v17: $i] : ( ~
% 14.64/3.15 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p1(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & p1(v17) = v18))))) & (( ~ (v6 = 0) &
% 14.64/3.15 | p1(v0) = v6) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0
% 14.64/3.15 | | ~ (p1(v17) = v18) | ~ $i(v17) | ? [v19: int] :
% 14.64/3.15 | ? [v20: int] : (( ~ (v20 = 0) & p100(v17) = v20) | (
% 14.64/3.15 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i]
% 14.64/3.15 | : ( ~ (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.15 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.15 | & p100(v17) = v19))))))) & (( ~ (v3 = 0) &
% 14.64/3.15 | p101(v0) = v3) | (((v5 = 0 & p2(v0) = 0) | ( ! [v17: $i] :
% 14.64/3.15 | ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p2(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v5 = 0) &
% 14.64/3.15 | p2(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0
% 14.64/3.15 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] :
% 14.64/3.15 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | (
% 14.64/3.15 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i]
% 14.64/3.15 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.15 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.15 | & p101(v17) = v19))))))))))) & ! [v0: $i] : !
% 14.64/3.15 | [v1: any] : ( ~ (p101(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3:
% 14.64/3.15 | int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: $i] :
% 14.64/3.15 | ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12:
% 14.64/3.15 | $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] : ? [v16: int]
% 14.64/3.15 | : ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) = v2) | (( ~
% 14.64/3.15 | (v1 = 0) | (v3 = 0 & p100(v0) = 0)) & ( ~ (v1 = 0) | (((v4 =
% 14.64/3.15 | 0 & p2(v0) = 0) | ( ! [v17: $i] : ( ~ (p101(v17) = 0) |
% 14.64/3.15 | ~ $i(v17) | ? [v18: int] : ? [v19: int] : (( ~
% 14.64/3.15 | (v19 = 0) & p2(v17) = v19) | ( ~ (v18 = 0) &
% 14.64/3.15 | r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? [v19:
% 14.64/3.15 | int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ (v18
% 14.64/3.15 | = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : (
% 14.64/3.15 | ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v4 = 0) &
% 14.64/3.15 | p2(v0) = v4) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0
% 14.64/3.15 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] :
% 14.64/3.15 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | (
% 14.64/3.15 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i]
% 14.64/3.15 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.15 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.15 | & p101(v17) = v19))))))) & (v1 = 0 | (v16 = 0 &
% 14.64/3.15 | v13 = 0 & v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~
% 14.64/3.15 | (v14 = 0) & ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10
% 14.64/3.15 | & p101(v12) = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0
% 14.64/3.15 | & r1(v0, v12) = 0 & r1(v0, v7) = 0) | ( ~ (v3 = 0) &
% 14.64/3.15 | p100(v0) = v3)) & (v1 = 0 | ( ~ (v6 = 0) & p102(v0) = v6))
% 14.64/3.15 | & (( ~ (v3 = 0) & p100(v0) = v3) | (((v5 = 0 & p1(v0) = 0) | (
% 14.64/3.15 | ! [v17: $i] : ( ~ (p100(v17) = 0) | ~ $i(v17) | ?
% 14.64/3.15 | [v18: int] : ? [v19: int] : (( ~ (v19 = 0) & p1(v17)
% 14.64/3.15 | = v19) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) &
% 14.64/3.15 | ! [v17: $i] : ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18:
% 14.64/3.15 | int] : ? [v19: int] : (( ~ (v19 = 0) & p100(v17) =
% 14.64/3.15 | v19) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & !
% 14.64/3.15 | [v17: $i] : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ?
% 14.64/3.15 | [v18: int] : ? [v19: int] : (( ~ (v19 = 0) &
% 14.64/3.15 | p100(v17) = v19) | ( ~ (v18 = 0) & p1(v17) =
% 14.64/3.15 | v18))))) & (( ~ (v5 = 0) & p1(v0) = v5) | ( !
% 14.64/3.15 | [v17: $i] : ! [v18: int] : (v18 = 0 | ~ (p1(v17) =
% 14.64/3.15 | v18) | ~ $i(v17) | ? [v19: int] : ? [v20: int] :
% 14.64/3.15 | (( ~ (v20 = 0) & p100(v17) = v20) | ( ~ (v19 = 0) &
% 14.64/3.15 | r1(v0, v17) = v19))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.15 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.15 | & p100(v17) = v19))))))))))) & ! [v0: $i] : !
% 14.64/3.15 | [v1: any] : ( ~ (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int]
% 14.64/3.15 | : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8:
% 14.64/3.15 | int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: $i]
% 14.64/3.15 | : ? [v13: int] : ? [v14: int] : ? [v15: int] : ? [v16: int] :
% 14.64/3.15 | ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) = v2) | (((v16 =
% 14.64/3.15 | 0 & v13 = 0 & v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~
% 14.64/3.15 | (v14 = 0) & ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10
% 14.64/3.15 | & p101(v12) = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0
% 14.64/3.15 | & r1(v0, v12) = 0 & r1(v0, v7) = 0) | (v3 = 0 & p101(v0) =
% 14.64/3.15 | 0) | ( ~ (v4 = 0) & p100(v0) = v4)) & ((v4 = 0 & p100(v0) =
% 14.64/3.15 | 0) | ( ~ (v3 = 0) & p101(v0) = v3)) & ((v3 = 0 & p101(v0) =
% 14.64/3.15 | 0) | ( ~ (v6 = 0) & p102(v0) = v6)) & (( ~ (v4 = 0) &
% 14.64/3.15 | p100(v0) = v4) | (((v5 = 0 & p1(v0) = 0) | ( ! [v17: $i] :
% 14.64/3.15 | ( ~ (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p1(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & p1(v17) = v18))))) & (( ~ (v5 = 0) &
% 14.64/3.15 | p1(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0
% 14.64/3.15 | | ~ (p1(v17) = v18) | ~ $i(v17) | ? [v19: int] :
% 14.64/3.15 | ? [v20: int] : (( ~ (v20 = 0) & p100(v17) = v20) | (
% 14.64/3.15 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i]
% 14.64/3.15 | : ( ~ (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.15 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.15 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.15 | & p100(v17) = v19))))))) & (( ~ (v3 = 0) &
% 14.64/3.15 | p101(v0) = v3) | (( ~ (v1 = 0) | ( ! [v17: $i] : ! [v18:
% 14.64/3.15 | int] : (v18 = 0 | ~ (p2(v17) = v18) | ~ $i(v17) |
% 14.64/3.15 | ? [v19: int] : ? [v20: int] : (( ~ (v20 = 0) &
% 14.64/3.15 | p101(v17) = v20) | ( ~ (v19 = 0) & r1(v0, v17) =
% 14.64/3.15 | v19))) & ! [v17: $i] : ( ~ (p101(v17) = 0) | ~
% 14.64/3.15 | $i(v17) | ? [v18: int] : ? [v19: int] : ((v19 = 0 &
% 14.64/3.15 | p2(v17) = 0) | ( ~ (v18 = 0) & r1(v0, v17) =
% 14.64/3.15 | v18))) & ! [v17: $i] : ( ~ (r1(v0, v17) = 0) |
% 14.64/3.15 | ~ $i(v17) | ? [v18: int] : ? [v19: int] : ((v18 = 0
% 14.64/3.15 | & p2(v17) = 0) | ( ~ (v19 = 0) & p101(v17) =
% 14.64/3.15 | v19))))) & (v1 = 0 | ( ! [v17: $i] : ( ~
% 14.64/3.15 | (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.15 | [v19: int] : (( ~ (v19 = 0) & p2(v17) = v19) | ( ~
% 14.64/3.15 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.15 | ( ~ (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.16 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.16 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] :
% 14.64/3.16 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.16 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.16 | (v18 = 0) & p2(v17) = v18))))))))))) & ! [v0:
% 14.64/3.16 | $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | p2(v0) = 0) & ! [v0:
% 14.64/3.16 | $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2:
% 14.64/3.16 | int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: $i] :
% 14.64/3.16 | ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11:
% 14.64/3.16 | $i] : ? [v12: int] : ? [v13: int] : ? [v14: int] : ? [v15: int]
% 14.64/3.16 | : ($i(v11) & $i(v6) & ((v15 = 0 & v12 = 0 & v10 = 0 & v8 = 0 & v7 = 0
% 14.64/3.16 | & ~ (v14 = 0) & ~ (v13 = 0) & ~ (v9 = 0) & p102(v11) = v14 &
% 14.64/3.16 | p102(v6) = v9 & p101(v11) = 0 & p101(v6) = 0 & p2(v11) = v13 &
% 14.64/3.16 | p2(v6) = 0 & r1(v0, v11) = 0 & r1(v0, v6) = 0) | (v1 = 0 &
% 14.64/3.16 | p101(v0) = 0) | ( ~ (v2 = 0) & p100(v0) = v2)) & ((v2 = 0 &
% 14.64/3.16 | p100(v0) = 0) | ( ~ (v1 = 0) & p101(v0) = v1)) & ((v1 = 0 &
% 14.64/3.16 | p101(v0) = 0) | ( ~ (v5 = 0) & p102(v0) = v5)) & (( ~ (v2 = 0)
% 14.64/3.16 | & p100(v0) = v2) | (((v4 = 0 & p1(v0) = 0) | ( ! [v16: $i] : (
% 14.64/3.16 | ~ (p100(v16) = 0) | ~ $i(v16) | ? [v17: int] : ? [v18:
% 14.64/3.16 | int] : (( ~ (v18 = 0) & p1(v16) = v18) | ( ~ (v17 = 0)
% 14.64/3.16 | & r1(v0, v16) = v17))) & ! [v16: $i] : ( ~ (p1(v16)
% 14.64/3.16 | = 0) | ~ $i(v16) | ? [v17: int] : ? [v18: int] : ((
% 14.64/3.16 | ~ (v18 = 0) & p100(v16) = v18) | ( ~ (v17 = 0) &
% 14.64/3.16 | r1(v0, v16) = v17))) & ! [v16: $i] : ( ~ (r1(v0,
% 14.64/3.16 | v16) = 0) | ~ $i(v16) | ? [v17: int] : ? [v18:
% 14.64/3.16 | int] : (( ~ (v18 = 0) & p100(v16) = v18) | ( ~ (v17 =
% 14.64/3.16 | 0) & p1(v16) = v17))))) & (( ~ (v4 = 0) & p1(v0) =
% 14.64/3.16 | v4) | ( ! [v16: $i] : ! [v17: int] : (v17 = 0 | ~
% 14.64/3.16 | (p1(v16) = v17) | ~ $i(v16) | ? [v18: int] : ? [v19:
% 14.64/3.16 | int] : (( ~ (v19 = 0) & p100(v16) = v19) | ( ~ (v18 =
% 14.64/3.16 | 0) & r1(v0, v16) = v18))) & ! [v16: $i] : ( ~
% 14.64/3.16 | (p100(v16) = 0) | ~ $i(v16) | ? [v17: int] : ? [v18:
% 14.64/3.16 | int] : ((v18 = 0 & p1(v16) = 0) | ( ~ (v17 = 0) &
% 14.64/3.16 | r1(v0, v16) = v17))) & ! [v16: $i] : ( ~ (r1(v0,
% 14.64/3.16 | v16) = 0) | ~ $i(v16) | ? [v17: int] : ? [v18:
% 14.64/3.16 | int] : ((v17 = 0 & p1(v16) = 0) | ( ~ (v18 = 0) &
% 14.64/3.16 | p100(v16) = v18))))))) & (( ~ (v1 = 0) & p101(v0) =
% 14.64/3.16 | v1) | (((v3 = 0 & p2(v0) = 0) | ( ! [v16: $i] : ( ~ (p101(v16)
% 14.64/3.16 | = 0) | ~ $i(v16) | ? [v17: int] : ? [v18: int] : ((
% 14.64/3.16 | ~ (v18 = 0) & p2(v16) = v18) | ( ~ (v17 = 0) & r1(v0,
% 14.64/3.16 | v16) = v17))) & ! [v16: $i] : ( ~ (p2(v16) = 0) |
% 14.64/3.16 | ~ $i(v16) | ? [v17: int] : ? [v18: int] : (( ~ (v18 =
% 14.64/3.16 | 0) & p101(v16) = v18) | ( ~ (v17 = 0) & r1(v0, v16)
% 14.64/3.16 | = v17))) & ! [v16: $i] : ( ~ (r1(v0, v16) = 0) | ~
% 14.64/3.16 | $i(v16) | ? [v17: int] : ? [v18: int] : (( ~ (v18 = 0)
% 14.64/3.16 | & p101(v16) = v18) | ( ~ (v17 = 0) & p2(v16) =
% 14.64/3.16 | v17))))) & (( ~ (v3 = 0) & p2(v0) = v3) | ( ! [v16:
% 14.64/3.16 | $i] : ! [v17: int] : (v17 = 0 | ~ (p2(v16) = v17) | ~
% 14.64/3.16 | $i(v16) | ? [v18: int] : ? [v19: int] : (( ~ (v19 = 0)
% 14.64/3.16 | & p101(v16) = v19) | ( ~ (v18 = 0) & r1(v0, v16) =
% 14.64/3.16 | v18))) & ! [v16: $i] : ( ~ (p101(v16) = 0) | ~
% 14.64/3.16 | $i(v16) | ? [v17: int] : ? [v18: int] : ((v18 = 0 &
% 14.64/3.16 | p2(v16) = 0) | ( ~ (v17 = 0) & r1(v0, v16) = v17))) &
% 14.64/3.16 | ! [v16: $i] : ( ~ (r1(v0, v16) = 0) | ~ $i(v16) | ?
% 14.64/3.16 | [v17: int] : ? [v18: int] : ((v17 = 0 & p2(v16) = 0) | (
% 14.64/3.16 | ~ (v18 = 0) & p101(v16) = v18)))))))))
% 14.64/3.16 |
% 14.64/3.16 | ALPHA: (3) implies:
% 14.64/3.16 | (4) ~ (all_5_0 = 0)
% 14.64/3.16 | (5) $i(all_5_1)
% 14.64/3.16 | (6) p101(all_5_1) = all_5_0
% 14.64/3.16 | (7) p100(all_5_1) = 0
% 14.64/3.16 | (8) ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | p2(v0) = 0)
% 14.64/3.16 | (9) ! [v0: $i] : ! [v1: any] : ( ~ (p101(v0) = v1) | ~ $i(v0) | ? [v2:
% 14.64/3.16 | int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 14.64/3.16 | ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11:
% 14.64/3.16 | int] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int]
% 14.64/3.16 | : ? [v16: int] : ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0)
% 14.64/3.16 | = v2) | (( ~ (v1 = 0) | (v3 = 0 & p100(v0) = 0)) & ( ~ (v1 = 0)
% 14.64/3.16 | | (((v4 = 0 & p2(v0) = 0) | ( ! [v17: $i] : ( ~ (p101(v17) =
% 14.64/3.16 | 0) | ~ $i(v17) | ? [v18: int] : ? [v19: int] :
% 14.64/3.16 | (( ~ (v19 = 0) & p2(v17) = v19) | ( ~ (v18 = 0) &
% 14.64/3.16 | r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.16 | (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? [v19:
% 14.64/3.16 | int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ (v18
% 14.64/3.16 | = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : (
% 14.64/3.16 | ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.16 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.16 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v4 = 0) &
% 14.64/3.16 | p2(v0) = v4) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0
% 14.64/3.16 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] :
% 14.64/3.16 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | (
% 14.64/3.16 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i]
% 14.64/3.16 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.16 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.16 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.16 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.16 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.16 | & p101(v17) = v19))))))) & (v1 = 0 | (v16 = 0 &
% 14.64/3.16 | v13 = 0 & v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~
% 14.64/3.16 | (v14 = 0) & ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10
% 14.64/3.16 | & p101(v12) = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0
% 14.64/3.16 | & r1(v0, v12) = 0 & r1(v0, v7) = 0) | ( ~ (v3 = 0) &
% 14.64/3.16 | p100(v0) = v3)) & (v1 = 0 | ( ~ (v6 = 0) & p102(v0) = v6))
% 14.64/3.16 | & (( ~ (v3 = 0) & p100(v0) = v3) | (((v5 = 0 & p1(v0) = 0) | (
% 14.64/3.16 | ! [v17: $i] : ( ~ (p100(v17) = 0) | ~ $i(v17) | ?
% 14.64/3.16 | [v18: int] : ? [v19: int] : (( ~ (v19 = 0) & p1(v17)
% 14.64/3.16 | = v19) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) &
% 14.64/3.16 | ! [v17: $i] : ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18:
% 14.64/3.16 | int] : ? [v19: int] : (( ~ (v19 = 0) & p100(v17) =
% 14.64/3.16 | v19) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & !
% 14.64/3.16 | [v17: $i] : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ?
% 14.64/3.16 | [v18: int] : ? [v19: int] : (( ~ (v19 = 0) &
% 14.64/3.16 | p100(v17) = v19) | ( ~ (v18 = 0) & p1(v17) =
% 14.64/3.16 | v18))))) & (( ~ (v5 = 0) & p1(v0) = v5) | ( !
% 14.64/3.16 | [v17: $i] : ! [v18: int] : (v18 = 0 | ~ (p1(v17) =
% 14.64/3.16 | v18) | ~ $i(v17) | ? [v19: int] : ? [v20: int] :
% 14.64/3.16 | (( ~ (v20 = 0) & p100(v17) = v20) | ( ~ (v19 = 0) &
% 14.64/3.16 | r1(v0, v17) = v19))) & ! [v17: $i] : ( ~
% 14.64/3.16 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.16 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0)
% 14.64/3.16 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~
% 14.64/3.16 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.16 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0)
% 14.64/3.16 | & p100(v17) = v19)))))))))))
% 14.64/3.17 | (10) ! [v0: $i] : ! [v1: any] : ( ~ (p100(v0) = v1) | ~ $i(v0) | ? [v2:
% 14.64/3.17 | int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 14.64/3.17 | ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11:
% 14.64/3.17 | int] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15:
% 14.64/3.17 | int] : ? [v16: int] : ($i(v12) & $i(v7) & (( ~ (v2 = 0) &
% 14.64/3.17 | r1(all_5_1, v0) = v2) | (( ~ (v1 = 0) | (v16 = 0 & v13 = 0 &
% 14.64/3.17 | v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~ (v14 = 0) &
% 14.64/3.17 | ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10 & p101(v12)
% 14.64/3.17 | = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0 & r1(v0,
% 14.64/3.17 | v12) = 0 & r1(v0, v7) = 0) | (v3 = 0 & p101(v0) = 0)) &
% 14.64/3.17 | ( ~ (v1 = 0) | (((v5 = 0 & p1(v0) = 0) | ( ! [v17: $i] : ( ~
% 14.64/3.17 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.17 | [v19: int] : (( ~ (v19 = 0) & p1(v17) = v19) | ( ~
% 14.64/3.17 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i]
% 14.64/3.17 | : ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.17 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~
% 14.64/3.17 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i]
% 14.64/3.17 | : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] :
% 14.64/3.17 | ? [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) |
% 14.64/3.17 | ( ~ (v18 = 0) & p1(v17) = v18))))) & (( ~ (v5 = 0)
% 14.64/3.17 | & p1(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18
% 14.64/3.17 | = 0 | ~ (p1(v17) = v18) | ~ $i(v17) | ? [v19:
% 14.64/3.17 | int] : ? [v20: int] : (( ~ (v20 = 0) & p100(v17)
% 14.64/3.17 | = v20) | ( ~ (v19 = 0) & r1(v0, v17) = v19))) &
% 14.64/3.17 | ! [v17: $i] : ( ~ (p100(v17) = 0) | ~ $i(v17) | ?
% 14.64/3.17 | [v18: int] : ? [v19: int] : ((v19 = 0 & p1(v17) =
% 14.64/3.17 | 0) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & !
% 14.64/3.17 | [v17: $i] : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ?
% 14.64/3.17 | [v18: int] : ? [v19: int] : ((v18 = 0 & p1(v17) =
% 14.64/3.17 | 0) | ( ~ (v19 = 0) & p100(v17) = v19))))))) &
% 14.64/3.17 | (v1 = 0 | ( ~ (v3 = 0) & p101(v0) = v3)) & ((v3 = 0 & p101(v0)
% 14.64/3.17 | = 0) | ( ~ (v6 = 0) & p102(v0) = v6)) & (( ~ (v3 = 0) &
% 14.64/3.17 | p101(v0) = v3) | (((v4 = 0 & p2(v0) = 0) | ( ! [v17: $i] :
% 14.64/3.17 | ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.17 | [v19: int] : (( ~ (v19 = 0) & p2(v17) = v19) | ( ~
% 14.64/3.17 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i]
% 14.64/3.17 | : ( ~ (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ?
% 14.64/3.17 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~
% 14.64/3.17 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i]
% 14.64/3.17 | : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] :
% 14.64/3.17 | ? [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) |
% 14.64/3.17 | ( ~ (v18 = 0) & p2(v17) = v18))))) & (( ~ (v4 = 0)
% 14.64/3.17 | & p2(v0) = v4) | ( ! [v17: $i] : ! [v18: int] : (v18
% 14.64/3.17 | = 0 | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19:
% 14.64/3.17 | int] : ? [v20: int] : (( ~ (v20 = 0) & p101(v17)
% 14.64/3.17 | = v20) | ( ~ (v19 = 0) & r1(v0, v17) = v19))) &
% 14.64/3.17 | ! [v17: $i] : ( ~ (p101(v17) = 0) | ~ $i(v17) | ?
% 14.64/3.17 | [v18: int] : ? [v19: int] : ((v19 = 0 & p2(v17) =
% 14.64/3.17 | 0) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & !
% 14.64/3.17 | [v17: $i] : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ?
% 14.64/3.17 | [v18: int] : ? [v19: int] : ((v18 = 0 & p2(v17) =
% 14.64/3.17 | 0) | ( ~ (v19 = 0) & p101(v17) = v19)))))))))))
% 14.64/3.17 |
% 14.64/3.17 | GROUND_INST: instantiating (9) with all_5_1, all_5_0, simplifying with (5),
% 14.64/3.17 | (6) gives:
% 14.64/3.17 | (11) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 14.64/3.17 | int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ?
% 14.64/3.17 | [v9: int] : ? [v10: $i] : ? [v11: int] : ? [v12: int] : ? [v13:
% 14.64/3.17 | int] : ? [v14: int] : ($i(v10) & $i(v5) & (( ~ (v0 = 0) &
% 14.64/3.17 | r1(all_5_1, all_5_1) = v0) | (( ~ (all_5_0 = 0) | (v1 = 0 &
% 14.64/3.17 | p100(all_5_1) = 0)) & ( ~ (all_5_0 = 0) | (((v2 = 0 &
% 14.64/3.17 | p2(all_5_1) = 0) | ( ! [v15: $i] : ( ~ (p101(v15) = 0) |
% 14.64/3.17 | ~ $i(v15) | ? [v16: int] : ? [v17: int] : (( ~ (v17
% 14.64/3.17 | = 0) & p2(v15) = v17) | ( ~ (v16 = 0) &
% 14.64/3.17 | r1(all_5_1, v15) = v16))) & ! [v15: $i] : ( ~
% 14.64/3.17 | (p2(v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17:
% 14.64/3.17 | int] : (( ~ (v17 = 0) & p101(v15) = v17) | ( ~ (v16
% 14.64/3.17 | = 0) & r1(all_5_1, v15) = v16))) & ! [v15: $i]
% 14.64/3.17 | : ( ~ (r1(all_5_1, v15) = 0) | ~ $i(v15) | ? [v16:
% 14.64/3.17 | int] : ? [v17: int] : (( ~ (v17 = 0) & p101(v15) =
% 14.64/3.17 | v17) | ( ~ (v16 = 0) & p2(v15) = v16))))) & (( ~
% 14.64/3.17 | (v2 = 0) & p2(all_5_1) = v2) | ( ! [v15: $i] : ! [v16:
% 14.64/3.17 | int] : (v16 = 0 | ~ (p2(v15) = v16) | ~ $i(v15) | ?
% 14.64/3.17 | [v17: int] : ? [v18: int] : (( ~ (v18 = 0) &
% 14.64/3.17 | p101(v15) = v18) | ( ~ (v17 = 0) & r1(all_5_1,
% 14.64/3.17 | v15) = v17))) & ! [v15: $i] : ( ~ (p101(v15) =
% 14.64/3.17 | 0) | ~ $i(v15) | ? [v16: int] : ? [v17: int] :
% 14.64/3.17 | ((v17 = 0 & p2(v15) = 0) | ( ~ (v16 = 0) & r1(all_5_1,
% 14.64/3.17 | v15) = v16))) & ! [v15: $i] : ( ~ (r1(all_5_1,
% 14.64/3.17 | v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17:
% 14.64/3.17 | int] : ((v16 = 0 & p2(v15) = 0) | ( ~ (v17 = 0) &
% 14.64/3.17 | p101(v15) = v17))))))) & (all_5_0 = 0 | (v14 = 0 &
% 14.64/3.17 | v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & ~ (v13 = 0) & ~ (v12
% 14.64/3.17 | = 0) & ~ (v8 = 0) & p102(v10) = v13 & p102(v5) = v8 &
% 14.64/3.17 | p101(v10) = 0 & p101(v5) = 0 & p2(v10) = v12 & p2(v5) = 0 &
% 14.64/3.17 | r1(all_5_1, v10) = 0 & r1(all_5_1, v5) = 0) | ( ~ (v1 = 0) &
% 14.64/3.17 | p100(all_5_1) = v1)) & (all_5_0 = 0 | ( ~ (v4 = 0) &
% 14.64/3.17 | p102(all_5_1) = v4)) & (( ~ (v1 = 0) & p100(all_5_1) = v1) |
% 14.64/3.17 | (((v3 = 0 & p1(all_5_1) = 0) | ( ! [v15: $i] : ( ~ (p100(v15)
% 14.64/3.17 | = 0) | ~ $i(v15) | ? [v16: int] : ? [v17: int] :
% 14.64/3.17 | (( ~ (v17 = 0) & p1(v15) = v17) | ( ~ (v16 = 0) &
% 14.64/3.17 | r1(all_5_1, v15) = v16))) & ! [v15: $i] : ( ~
% 14.64/3.17 | (p1(v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17:
% 14.64/3.17 | int] : (( ~ (v17 = 0) & p100(v15) = v17) | ( ~ (v16
% 14.64/3.17 | = 0) & r1(all_5_1, v15) = v16))) & ! [v15: $i]
% 14.64/3.17 | : ( ~ (r1(all_5_1, v15) = 0) | ~ $i(v15) | ? [v16:
% 14.64/3.17 | int] : ? [v17: int] : (( ~ (v17 = 0) & p100(v15) =
% 14.64/3.17 | v17) | ( ~ (v16 = 0) & p1(v15) = v16))))) & (( ~
% 14.64/3.17 | (v3 = 0) & p1(all_5_1) = v3) | ( ! [v15: $i] : ! [v16:
% 14.64/3.17 | int] : (v16 = 0 | ~ (p1(v15) = v16) | ~ $i(v15) | ?
% 14.64/3.17 | [v17: int] : ? [v18: int] : (( ~ (v18 = 0) &
% 14.64/3.17 | p100(v15) = v18) | ( ~ (v17 = 0) & r1(all_5_1,
% 14.64/3.17 | v15) = v17))) & ! [v15: $i] : ( ~ (p100(v15) =
% 14.64/3.17 | 0) | ~ $i(v15) | ? [v16: int] : ? [v17: int] :
% 14.64/3.17 | ((v17 = 0 & p1(v15) = 0) | ( ~ (v16 = 0) & r1(all_5_1,
% 14.64/3.17 | v15) = v16))) & ! [v15: $i] : ( ~ (r1(all_5_1,
% 14.64/3.17 | v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17:
% 14.64/3.17 | int] : ((v16 = 0 & p1(v15) = 0) | ( ~ (v17 = 0) &
% 14.64/3.17 | p100(v15) = v17))))))))))
% 14.64/3.17 |
% 14.64/3.17 | GROUND_INST: instantiating (10) with all_5_1, 0, simplifying with (5), (7)
% 14.64/3.17 | gives:
% 14.64/3.18 | (12) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 14.64/3.18 | int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ?
% 14.64/3.18 | [v9: int] : ? [v10: $i] : ? [v11: int] : ? [v12: int] : ? [v13:
% 14.64/3.18 | int] : ? [v14: int] : ($i(v10) & $i(v5) & (( ~ (v0 = 0) &
% 14.64/3.18 | r1(all_5_1, all_5_1) = v0) | (((v14 = 0 & v11 = 0 & v9 = 0 & v7
% 14.64/3.18 | = 0 & v6 = 0 & ~ (v13 = 0) & ~ (v12 = 0) & ~ (v8 = 0) &
% 14.64/3.18 | p102(v10) = v13 & p102(v5) = v8 & p101(v10) = 0 & p101(v5) =
% 14.64/3.18 | 0 & p2(v10) = v12 & p2(v5) = 0 & r1(all_5_1, v10) = 0 &
% 14.64/3.18 | r1(all_5_1, v5) = 0) | (v1 = 0 & p101(all_5_1) = 0)) & ((v3
% 14.64/3.18 | = 0 & p1(all_5_1) = 0) | ( ! [v15: $i] : ( ~ (p100(v15) = 0)
% 14.64/3.18 | | ~ $i(v15) | ? [v16: int] : ? [v17: int] : (( ~ (v17 =
% 14.64/3.18 | 0) & p1(v15) = v17) | ( ~ (v16 = 0) & r1(all_5_1,
% 14.64/3.18 | v15) = v16))) & ! [v15: $i] : ( ~ (p1(v15) = 0) |
% 14.64/3.18 | ~ $i(v15) | ? [v16: int] : ? [v17: int] : (( ~ (v17 = 0)
% 14.64/3.18 | & p100(v15) = v17) | ( ~ (v16 = 0) & r1(all_5_1, v15)
% 14.64/3.18 | = v16))) & ! [v15: $i] : ( ~ (r1(all_5_1, v15) = 0) |
% 14.64/3.18 | ~ $i(v15) | ? [v16: int] : ? [v17: int] : (( ~ (v17 =
% 14.64/3.18 | 0) & p100(v15) = v17) | ( ~ (v16 = 0) & p1(v15) =
% 14.64/3.18 | v16))))) & ((v1 = 0 & p101(all_5_1) = 0) | ( ~ (v4 =
% 14.64/3.18 | 0) & p102(all_5_1) = v4)) & (( ~ (v3 = 0) & p1(all_5_1) =
% 14.64/3.18 | v3) | ( ! [v15: $i] : ! [v16: int] : (v16 = 0 | ~ (p1(v15)
% 14.64/3.18 | = v16) | ~ $i(v15) | ? [v17: int] : ? [v18: int] : ((
% 14.64/3.18 | ~ (v18 = 0) & p100(v15) = v18) | ( ~ (v17 = 0) &
% 14.64/3.18 | r1(all_5_1, v15) = v17))) & ! [v15: $i] : ( ~
% 14.64/3.18 | (p100(v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17:
% 14.64/3.18 | int] : ((v17 = 0 & p1(v15) = 0) | ( ~ (v16 = 0) &
% 14.64/3.18 | r1(all_5_1, v15) = v16))) & ! [v15: $i] : ( ~
% 14.64/3.18 | (r1(all_5_1, v15) = 0) | ~ $i(v15) | ? [v16: int] : ?
% 14.64/3.18 | [v17: int] : ((v16 = 0 & p1(v15) = 0) | ( ~ (v17 = 0) &
% 14.64/3.18 | p100(v15) = v17))))) & (( ~ (v1 = 0) & p101(all_5_1) =
% 14.64/3.18 | v1) | (((v2 = 0 & p2(all_5_1) = 0) | ( ! [v15: $i] : ( ~
% 14.64/3.18 | (p101(v15) = 0) | ~ $i(v15) | ? [v16: int] : ?
% 14.64/3.18 | [v17: int] : (( ~ (v17 = 0) & p2(v15) = v17) | ( ~
% 14.64/3.18 | (v16 = 0) & r1(all_5_1, v15) = v16))) & ! [v15:
% 14.64/3.18 | $i] : ( ~ (p2(v15) = 0) | ~ $i(v15) | ? [v16: int] :
% 14.64/3.18 | ? [v17: int] : (( ~ (v17 = 0) & p101(v15) = v17) | (
% 14.64/3.18 | ~ (v16 = 0) & r1(all_5_1, v15) = v16))) & ! [v15:
% 14.64/3.18 | $i] : ( ~ (r1(all_5_1, v15) = 0) | ~ $i(v15) | ?
% 14.64/3.18 | [v16: int] : ? [v17: int] : (( ~ (v17 = 0) &
% 14.64/3.18 | p101(v15) = v17) | ( ~ (v16 = 0) & p2(v15) =
% 14.64/3.18 | v16))))) & (( ~ (v2 = 0) & p2(all_5_1) = v2) | ( !
% 14.64/3.18 | [v15: $i] : ! [v16: int] : (v16 = 0 | ~ (p2(v15) =
% 14.64/3.18 | v16) | ~ $i(v15) | ? [v17: int] : ? [v18: int] :
% 14.64/3.18 | (( ~ (v18 = 0) & p101(v15) = v18) | ( ~ (v17 = 0) &
% 14.64/3.18 | r1(all_5_1, v15) = v17))) & ! [v15: $i] : ( ~
% 14.64/3.18 | (p101(v15) = 0) | ~ $i(v15) | ? [v16: int] : ?
% 14.64/3.18 | [v17: int] : ((v17 = 0 & p2(v15) = 0) | ( ~ (v16 = 0)
% 14.64/3.18 | & r1(all_5_1, v15) = v16))) & ! [v15: $i] : ( ~
% 14.64/3.18 | (r1(all_5_1, v15) = 0) | ~ $i(v15) | ? [v16: int] :
% 14.64/3.18 | ? [v17: int] : ((v16 = 0 & p2(v15) = 0) | ( ~ (v17 =
% 14.64/3.18 | 0) & p101(v15) = v17))))))))))
% 14.64/3.18 |
% 14.64/3.18 | DELTA: instantiating (12) with fresh symbols all_13_0, all_13_1, all_13_2,
% 14.64/3.18 | all_13_3, all_13_4, all_13_5, all_13_6, all_13_7, all_13_8, all_13_9,
% 14.64/3.18 | all_13_10, all_13_11, all_13_12, all_13_13, all_13_14 gives:
% 14.64/3.18 | (13) $i(all_13_4) & $i(all_13_9) & (( ~ (all_13_14 = 0) & r1(all_5_1,
% 14.64/3.18 | all_5_1) = all_13_14) | (((all_13_0 = 0 & all_13_3 = 0 &
% 14.64/3.18 | all_13_5 = 0 & all_13_7 = 0 & all_13_8 = 0 & ~ (all_13_1 = 0)
% 14.64/3.18 | & ~ (all_13_2 = 0) & ~ (all_13_6 = 0) & p102(all_13_4) =
% 14.64/3.18 | all_13_1 & p102(all_13_9) = all_13_6 & p101(all_13_4) = 0 &
% 14.64/3.18 | p101(all_13_9) = 0 & p2(all_13_4) = all_13_2 & p2(all_13_9) =
% 14.64/3.18 | 0 & r1(all_5_1, all_13_4) = 0 & r1(all_5_1, all_13_9) = 0) |
% 14.64/3.18 | (all_13_13 = 0 & p101(all_5_1) = 0)) & ((all_13_11 = 0 &
% 14.64/3.18 | p1(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p100(v0) = 0) | ~
% 14.64/3.18 | $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) &
% 14.64/3.18 | p1(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) &
% 14.64/3.18 | ! [v0: $i] : ( ~ (p1(v0) = 0) | ~ $i(v0) | ? [v1: int] : ?
% 14.64/3.18 | [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.18 | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1,
% 14.64/3.18 | v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((
% 14.64/3.18 | ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) & p1(v0) =
% 14.64/3.18 | v1))))) & ((all_13_13 = 0 & p101(all_5_1) = 0) | ( ~
% 14.64/3.18 | (all_13_10 = 0) & p102(all_5_1) = all_13_10)) & (( ~
% 14.64/3.18 | (all_13_11 = 0) & p1(all_5_1) = all_13_11) | ( ! [v0: $i] : !
% 14.64/3.18 | [v1: int] : (v1 = 0 | ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2:
% 14.64/3.18 | int] : ? [v3: int] : (( ~ (v3 = 0) & p100(v0) = v3) | ( ~
% 14.64/3.18 | (v2 = 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~
% 14.64/3.18 | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] :
% 14.64/3.18 | ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) =
% 14.64/3.18 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~
% 14.64/3.18 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p1(v0) =
% 14.64/3.18 | 0) | ( ~ (v2 = 0) & p100(v0) = v2))))) & (( ~ (all_13_13
% 14.64/3.18 | = 0) & p101(all_5_1) = all_13_13) | (((all_13_12 = 0 &
% 14.64/3.18 | p2(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p101(v0) = 0) | ~
% 14.64/3.18 | $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) &
% 14.64/3.18 | p2(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) =
% 14.64/3.18 | v1))) & ! [v0: $i] : ( ~ (p2(v0) = 0) | ~ $i(v0) |
% 14.64/3.18 | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) =
% 14.64/3.18 | v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & !
% 14.64/3.18 | [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1:
% 14.64/3.18 | int] : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) = v2) |
% 14.64/3.18 | ( ~ (v1 = 0) & p2(v0) = v1))))) & (( ~ (all_13_12 = 0)
% 14.64/3.18 | & p2(all_5_1) = all_13_12) | ( ! [v0: $i] : ! [v1: int] :
% 14.64/3.18 | (v1 = 0 | ~ (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ?
% 14.64/3.18 | [v3: int] : (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 =
% 14.64/3.18 | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~
% 14.64/3.18 | (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int]
% 14.64/3.18 | : ((v2 = 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1,
% 14.64/3.18 | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) =
% 14.64/3.18 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 =
% 14.64/3.18 | 0 & p2(v0) = 0) | ( ~ (v2 = 0) & p101(v0) =
% 14.64/3.18 | v2)))))))))
% 14.64/3.18 |
% 14.64/3.18 | ALPHA: (13) implies:
% 14.64/3.18 | (14) $i(all_13_4)
% 14.64/3.19 | (15) ( ~ (all_13_14 = 0) & r1(all_5_1, all_5_1) = all_13_14) | (((all_13_0
% 14.64/3.19 | = 0 & all_13_3 = 0 & all_13_5 = 0 & all_13_7 = 0 & all_13_8 = 0
% 14.64/3.19 | & ~ (all_13_1 = 0) & ~ (all_13_2 = 0) & ~ (all_13_6 = 0) &
% 14.64/3.19 | p102(all_13_4) = all_13_1 & p102(all_13_9) = all_13_6 &
% 14.64/3.19 | p101(all_13_4) = 0 & p101(all_13_9) = 0 & p2(all_13_4) =
% 14.64/3.19 | all_13_2 & p2(all_13_9) = 0 & r1(all_5_1, all_13_4) = 0 &
% 14.64/3.19 | r1(all_5_1, all_13_9) = 0) | (all_13_13 = 0 & p101(all_5_1) =
% 14.64/3.19 | 0)) & ((all_13_11 = 0 & p1(all_5_1) = 0) | ( ! [v0: $i] : ( ~
% 14.64/3.19 | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((
% 14.64/3.19 | ~ (v2 = 0) & p1(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0)
% 14.64/3.19 | = v1))) & ! [v0: $i] : ( ~ (p1(v0) = 0) | ~ $i(v0) | ?
% 14.64/3.19 | [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | (
% 14.64/3.19 | ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~
% 14.64/3.19 | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2:
% 14.64/3.19 | int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.19 | p1(v0) = v1))))) & ((all_13_13 = 0 & p101(all_5_1) = 0) |
% 14.64/3.19 | ( ~ (all_13_10 = 0) & p102(all_5_1) = all_13_10)) & (( ~
% 14.64/3.19 | (all_13_11 = 0) & p1(all_5_1) = all_13_11) | ( ! [v0: $i] : !
% 14.64/3.19 | [v1: int] : (v1 = 0 | ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2:
% 14.64/3.19 | int] : ? [v3: int] : (( ~ (v3 = 0) & p100(v0) = v3) | ( ~
% 14.64/3.19 | (v2 = 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~
% 14.64/3.19 | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] :
% 14.64/3.19 | ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) =
% 14.64/3.19 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~
% 14.64/3.19 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p1(v0) = 0)
% 14.64/3.19 | | ( ~ (v2 = 0) & p100(v0) = v2))))) & (( ~ (all_13_13 = 0) &
% 14.64/3.19 | p101(all_5_1) = all_13_13) | (((all_13_12 = 0 & p2(all_5_1) = 0)
% 14.64/3.19 | | ( ! [v0: $i] : ( ~ (p101(v0) = 0) | ~ $i(v0) | ? [v1: int]
% 14.64/3.19 | : ? [v2: int] : (( ~ (v2 = 0) & p2(v0) = v2) | ( ~ (v1 =
% 14.64/3.19 | 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~
% 14.64/3.19 | (p2(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] :
% 14.64/3.19 | (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.19 | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~
% 14.64/3.19 | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2:
% 14.64/3.19 | int] : (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.19 | p2(v0) = v1))))) & (( ~ (all_13_12 = 0) & p2(all_5_1)
% 14.64/3.19 | = all_13_12) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 14.64/3.19 | (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] :
% 14.64/3.19 | (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 = 0) &
% 14.64/3.19 | r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ (p101(v0)
% 14.64/3.19 | = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v2 =
% 14.64/3.19 | 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) =
% 14.64/3.19 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~
% 14.64/3.19 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p2(v0) =
% 14.64/3.19 | 0) | ( ~ (v2 = 0) & p101(v0) = v2))))))))
% 14.64/3.19 |
% 14.64/3.19 | DELTA: instantiating (11) with fresh symbols all_15_0, all_15_1, all_15_2,
% 14.64/3.19 | all_15_3, all_15_4, all_15_5, all_15_6, all_15_7, all_15_8, all_15_9,
% 14.64/3.19 | all_15_10, all_15_11, all_15_12, all_15_13, all_15_14 gives:
% 14.64/3.19 | (16) $i(all_15_4) & $i(all_15_9) & (( ~ (all_15_14 = 0) & r1(all_5_1,
% 14.64/3.19 | all_5_1) = all_15_14) | (( ~ (all_5_0 = 0) | (all_15_13 = 0 &
% 14.64/3.19 | p100(all_5_1) = 0)) & ( ~ (all_5_0 = 0) | (((all_15_12 = 0 &
% 14.64/3.19 | p2(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p101(v0) = 0) | ~
% 14.64/3.19 | $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) &
% 14.64/3.19 | p2(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) =
% 14.64/3.19 | v1))) & ! [v0: $i] : ( ~ (p2(v0) = 0) | ~ $i(v0) |
% 14.64/3.19 | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) =
% 14.64/3.19 | v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & !
% 14.64/3.19 | [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1:
% 14.64/3.19 | int] : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) = v2) |
% 14.64/3.19 | ( ~ (v1 = 0) & p2(v0) = v1))))) & (( ~ (all_15_12 = 0)
% 14.64/3.19 | & p2(all_5_1) = all_15_12) | ( ! [v0: $i] : ! [v1: int] :
% 14.64/3.19 | (v1 = 0 | ~ (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ?
% 14.64/3.19 | [v3: int] : (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 =
% 14.64/3.19 | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~
% 14.64/3.19 | (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int]
% 14.64/3.19 | : ((v2 = 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1,
% 14.64/3.19 | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) =
% 14.64/3.19 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 =
% 14.64/3.19 | 0 & p2(v0) = 0) | ( ~ (v2 = 0) & p101(v0) =
% 14.64/3.19 | v2))))))) & (all_5_0 = 0 | (all_15_0 = 0 & all_15_3
% 14.64/3.19 | = 0 & all_15_5 = 0 & all_15_7 = 0 & all_15_8 = 0 & ~
% 14.64/3.19 | (all_15_1 = 0) & ~ (all_15_2 = 0) & ~ (all_15_6 = 0) &
% 14.64/3.19 | p102(all_15_4) = all_15_1 & p102(all_15_9) = all_15_6 &
% 14.64/3.19 | p101(all_15_4) = 0 & p101(all_15_9) = 0 & p2(all_15_4) =
% 14.64/3.19 | all_15_2 & p2(all_15_9) = 0 & r1(all_5_1, all_15_4) = 0 &
% 14.64/3.19 | r1(all_5_1, all_15_9) = 0) | ( ~ (all_15_13 = 0) &
% 14.64/3.19 | p100(all_5_1) = all_15_13)) & (all_5_0 = 0 | ( ~ (all_15_10 =
% 14.64/3.19 | 0) & p102(all_5_1) = all_15_10)) & (( ~ (all_15_13 = 0) &
% 14.64/3.19 | p100(all_5_1) = all_15_13) | (((all_15_11 = 0 & p1(all_5_1) =
% 14.64/3.19 | 0) | ( ! [v0: $i] : ( ~ (p100(v0) = 0) | ~ $i(v0) | ?
% 14.64/3.19 | [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p1(v0) = v2)
% 14.64/3.19 | | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i]
% 14.64/3.19 | : ( ~ (p1(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2:
% 14.64/3.19 | int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.19 | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~
% 14.64/3.19 | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ?
% 14.64/3.19 | [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 =
% 14.64/3.19 | 0) & p1(v0) = v1))))) & (( ~ (all_15_11 = 0) &
% 14.64/3.19 | p1(all_5_1) = all_15_11) | ( ! [v0: $i] : ! [v1: int] :
% 14.64/3.19 | (v1 = 0 | ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2: int] : ?
% 14.64/3.19 | [v3: int] : (( ~ (v3 = 0) & p100(v0) = v3) | ( ~ (v2 =
% 14.64/3.19 | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~
% 14.64/3.19 | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int]
% 14.64/3.19 | : ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1,
% 14.64/3.19 | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) =
% 14.64/3.19 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 =
% 14.64/3.19 | 0 & p1(v0) = 0) | ( ~ (v2 = 0) & p100(v0) =
% 14.64/3.19 | v2)))))))))
% 14.64/3.19 |
% 14.64/3.19 | ALPHA: (16) implies:
% 14.64/3.20 | (17) ( ~ (all_15_14 = 0) & r1(all_5_1, all_5_1) = all_15_14) | (( ~
% 14.64/3.20 | (all_5_0 = 0) | (all_15_13 = 0 & p100(all_5_1) = 0)) & ( ~
% 14.64/3.20 | (all_5_0 = 0) | (((all_15_12 = 0 & p2(all_5_1) = 0) | ( ! [v0: $i]
% 14.64/3.20 | : ( ~ (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2:
% 14.64/3.20 | int] : (( ~ (v2 = 0) & p2(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.20 | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ (p2(v0) =
% 14.64/3.20 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2
% 14.64/3.20 | = 0) & p101(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1,
% 14.64/3.20 | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) =
% 14.64/3.20 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2
% 14.64/3.20 | = 0) & p101(v0) = v2) | ( ~ (v1 = 0) & p2(v0) =
% 14.64/3.20 | v1))))) & (( ~ (all_15_12 = 0) & p2(all_5_1) =
% 14.64/3.20 | all_15_12) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 14.64/3.20 | (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] :
% 14.64/3.20 | (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 = 0) &
% 14.64/3.20 | r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ (p101(v0)
% 14.64/3.20 | = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v2 =
% 14.64/3.20 | 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) =
% 14.64/3.20 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~
% 14.64/3.20 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p2(v0) =
% 14.64/3.20 | 0) | ( ~ (v2 = 0) & p101(v0) = v2))))))) & (all_5_0 =
% 14.64/3.20 | 0 | (all_15_0 = 0 & all_15_3 = 0 & all_15_5 = 0 & all_15_7 = 0 &
% 14.64/3.20 | all_15_8 = 0 & ~ (all_15_1 = 0) & ~ (all_15_2 = 0) & ~
% 14.64/3.20 | (all_15_6 = 0) & p102(all_15_4) = all_15_1 & p102(all_15_9) =
% 14.64/3.20 | all_15_6 & p101(all_15_4) = 0 & p101(all_15_9) = 0 &
% 14.64/3.20 | p2(all_15_4) = all_15_2 & p2(all_15_9) = 0 & r1(all_5_1,
% 14.64/3.20 | all_15_4) = 0 & r1(all_5_1, all_15_9) = 0) | ( ~ (all_15_13 =
% 14.64/3.20 | 0) & p100(all_5_1) = all_15_13)) & (all_5_0 = 0 | ( ~
% 14.64/3.20 | (all_15_10 = 0) & p102(all_5_1) = all_15_10)) & (( ~ (all_15_13
% 14.64/3.20 | = 0) & p100(all_5_1) = all_15_13) | (((all_15_11 = 0 &
% 14.64/3.20 | p1(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p100(v0) = 0) | ~
% 14.64/3.20 | $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) &
% 14.64/3.20 | p1(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1)))
% 14.64/3.20 | & ! [v0: $i] : ( ~ (p1(v0) = 0) | ~ $i(v0) | ? [v1: int]
% 14.64/3.20 | : ? [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1
% 14.64/3.20 | = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~
% 14.64/3.20 | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2:
% 14.64/3.20 | int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.20 | p1(v0) = v1))))) & (( ~ (all_15_11 = 0) & p1(all_5_1)
% 14.64/3.20 | = all_15_11) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 14.64/3.20 | (p1(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] :
% 14.64/3.20 | (( ~ (v3 = 0) & p100(v0) = v3) | ( ~ (v2 = 0) &
% 14.64/3.20 | r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ (p100(v0)
% 14.64/3.20 | = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v2 =
% 14.64/3.20 | 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) =
% 14.64/3.20 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~
% 14.64/3.20 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p1(v0) =
% 14.64/3.20 | 0) | ( ~ (v2 = 0) & p100(v0) = v2))))))))
% 14.64/3.20 |
% 14.64/3.20 | BETA: splitting (15) gives:
% 14.64/3.20 |
% 14.64/3.20 | Case 1:
% 14.64/3.20 | |
% 14.64/3.20 | | (18) ~ (all_13_14 = 0) & r1(all_5_1, all_5_1) = all_13_14
% 14.64/3.20 | |
% 14.64/3.20 | | ALPHA: (18) implies:
% 14.64/3.20 | | (19) ~ (all_13_14 = 0)
% 14.64/3.20 | | (20) r1(all_5_1, all_5_1) = all_13_14
% 14.64/3.20 | |
% 14.64/3.20 | | GROUND_INST: instantiating (reflexivity) with all_5_1, all_13_14,
% 14.64/3.20 | | simplifying with (5), (20) gives:
% 14.64/3.20 | | (21) all_13_14 = 0
% 14.64/3.20 | |
% 14.64/3.20 | | REDUCE: (19), (21) imply:
% 14.64/3.20 | | (22) $false
% 14.64/3.20 | |
% 14.64/3.20 | | CLOSE: (22) is inconsistent.
% 14.64/3.20 | |
% 14.64/3.20 | Case 2:
% 14.64/3.20 | |
% 14.64/3.20 | | (23) ((all_13_0 = 0 & all_13_3 = 0 & all_13_5 = 0 & all_13_7 = 0 &
% 14.64/3.20 | | all_13_8 = 0 & ~ (all_13_1 = 0) & ~ (all_13_2 = 0) & ~
% 14.64/3.20 | | (all_13_6 = 0) & p102(all_13_4) = all_13_1 & p102(all_13_9) =
% 14.64/3.20 | | all_13_6 & p101(all_13_4) = 0 & p101(all_13_9) = 0 &
% 14.64/3.20 | | p2(all_13_4) = all_13_2 & p2(all_13_9) = 0 & r1(all_5_1,
% 14.64/3.20 | | all_13_4) = 0 & r1(all_5_1, all_13_9) = 0) | (all_13_13 = 0 &
% 14.64/3.20 | | p101(all_5_1) = 0)) & ((all_13_11 = 0 & p1(all_5_1) = 0) | ( !
% 14.64/3.20 | | [v0: $i] : ( ~ (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ?
% 14.64/3.20 | | [v2: int] : (( ~ (v2 = 0) & p1(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.20 | | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ (p1(v0) = 0) |
% 14.64/3.20 | | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) &
% 14.64/3.20 | | p100(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) &
% 14.64/3.20 | | ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1:
% 14.64/3.20 | | int] : ? [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~
% 14.64/3.20 | | (v1 = 0) & p1(v0) = v1))))) & ((all_13_13 = 0 &
% 14.64/3.20 | | p101(all_5_1) = 0) | ( ~ (all_13_10 = 0) & p102(all_5_1) =
% 14.64/3.20 | | all_13_10)) & (( ~ (all_13_11 = 0) & p1(all_5_1) = all_13_11) |
% 14.64/3.20 | | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (p1(v0) = v1) | ~
% 14.64/3.20 | | $i(v0) | ? [v2: int] : ? [v3: int] : (( ~ (v3 = 0) &
% 14.64/3.20 | | p100(v0) = v3) | ( ~ (v2 = 0) & r1(all_5_1, v0) = v2))) &
% 14.64/3.20 | | ! [v0: $i] : ( ~ (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ?
% 14.64/3.20 | | [v2: int] : ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) &
% 14.64/3.20 | | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1,
% 14.64/3.20 | | v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1
% 14.64/3.20 | | = 0 & p1(v0) = 0) | ( ~ (v2 = 0) & p100(v0) = v2))))) & ((
% 14.64/3.20 | | ~ (all_13_13 = 0) & p101(all_5_1) = all_13_13) | (((all_13_12 =
% 14.64/3.20 | | 0 & p2(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p101(v0) = 0) |
% 14.64/3.20 | | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) &
% 14.64/3.20 | | p2(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1)))
% 14.64/3.20 | | & ! [v0: $i] : ( ~ (p2(v0) = 0) | ~ $i(v0) | ? [v1: int]
% 14.64/3.20 | | : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1
% 14.64/3.20 | | = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~
% 14.64/3.20 | | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2:
% 14.64/3.20 | | int] : (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.20 | | p2(v0) = v1))))) & (( ~ (all_13_12 = 0) & p2(all_5_1)
% 14.64/3.20 | | = all_13_12) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 14.64/3.20 | | (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] :
% 14.64/3.20 | | (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 = 0) &
% 14.64/3.20 | | r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ (p101(v0)
% 14.64/3.21 | | = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v2 =
% 14.64/3.21 | | 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) =
% 14.64/3.21 | | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~
% 14.64/3.21 | | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p2(v0) =
% 14.64/3.21 | | 0) | ( ~ (v2 = 0) & p101(v0) = v2)))))))
% 14.64/3.21 | |
% 14.64/3.21 | | ALPHA: (23) implies:
% 14.64/3.21 | | (24) (all_13_0 = 0 & all_13_3 = 0 & all_13_5 = 0 & all_13_7 = 0 &
% 14.64/3.21 | | all_13_8 = 0 & ~ (all_13_1 = 0) & ~ (all_13_2 = 0) & ~
% 14.64/3.21 | | (all_13_6 = 0) & p102(all_13_4) = all_13_1 & p102(all_13_9) =
% 14.64/3.21 | | all_13_6 & p101(all_13_4) = 0 & p101(all_13_9) = 0 & p2(all_13_4)
% 14.64/3.21 | | = all_13_2 & p2(all_13_9) = 0 & r1(all_5_1, all_13_4) = 0 &
% 14.64/3.21 | | r1(all_5_1, all_13_9) = 0) | (all_13_13 = 0 & p101(all_5_1) = 0)
% 14.64/3.21 | |
% 14.64/3.21 | | BETA: splitting (17) gives:
% 14.64/3.21 | |
% 14.64/3.21 | | Case 1:
% 14.64/3.21 | | |
% 14.64/3.21 | | | (25) ~ (all_15_14 = 0) & r1(all_5_1, all_5_1) = all_15_14
% 14.64/3.21 | | |
% 14.64/3.21 | | | ALPHA: (25) implies:
% 14.64/3.21 | | | (26) ~ (all_15_14 = 0)
% 14.64/3.21 | | | (27) r1(all_5_1, all_5_1) = all_15_14
% 14.64/3.21 | | |
% 14.64/3.21 | | | GROUND_INST: instantiating (reflexivity) with all_5_1, all_15_14,
% 14.64/3.21 | | | simplifying with (5), (27) gives:
% 14.64/3.21 | | | (28) all_15_14 = 0
% 14.64/3.21 | | |
% 14.64/3.21 | | | REDUCE: (26), (28) imply:
% 14.64/3.21 | | | (29) $false
% 14.64/3.21 | | |
% 14.64/3.21 | | | CLOSE: (29) is inconsistent.
% 14.64/3.21 | | |
% 14.64/3.21 | | Case 2:
% 14.64/3.21 | | |
% 14.64/3.21 | | | (30) ( ~ (all_5_0 = 0) | (all_15_13 = 0 & p100(all_5_1) = 0)) & ( ~
% 14.64/3.21 | | | (all_5_0 = 0) | (((all_15_12 = 0 & p2(all_5_1) = 0) | ( ! [v0:
% 14.64/3.21 | | | $i] : ( ~ (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ?
% 14.64/3.21 | | | [v2: int] : (( ~ (v2 = 0) & p2(v0) = v2) | ( ~ (v1 = 0)
% 14.64/3.21 | | | & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~
% 14.64/3.21 | | | (p2(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] :
% 14.64/3.21 | | | (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.21 | | | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~
% 14.64/3.21 | | | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ?
% 14.64/3.21 | | | [v2: int] : (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 =
% 14.64/3.21 | | | 0) & p2(v0) = v1))))) & (( ~ (all_15_12 = 0) &
% 14.64/3.21 | | | p2(all_5_1) = all_15_12) | ( ! [v0: $i] : ! [v1: int] :
% 14.64/3.21 | | | (v1 = 0 | ~ (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ?
% 14.64/3.21 | | | [v3: int] : (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 =
% 14.64/3.21 | | | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~
% 14.64/3.21 | | | (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int]
% 14.64/3.21 | | | : ((v2 = 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1,
% 14.64/3.21 | | | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) =
% 14.64/3.21 | | | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 =
% 14.64/3.21 | | | 0 & p2(v0) = 0) | ( ~ (v2 = 0) & p101(v0) =
% 14.64/3.21 | | | v2))))))) & (all_5_0 = 0 | (all_15_0 = 0 & all_15_3
% 14.64/3.21 | | | = 0 & all_15_5 = 0 & all_15_7 = 0 & all_15_8 = 0 & ~
% 14.64/3.21 | | | (all_15_1 = 0) & ~ (all_15_2 = 0) & ~ (all_15_6 = 0) &
% 14.64/3.21 | | | p102(all_15_4) = all_15_1 & p102(all_15_9) = all_15_6 &
% 14.64/3.21 | | | p101(all_15_4) = 0 & p101(all_15_9) = 0 & p2(all_15_4) =
% 14.64/3.21 | | | all_15_2 & p2(all_15_9) = 0 & r1(all_5_1, all_15_4) = 0 &
% 14.64/3.21 | | | r1(all_5_1, all_15_9) = 0) | ( ~ (all_15_13 = 0) &
% 14.64/3.21 | | | p100(all_5_1) = all_15_13)) & (all_5_0 = 0 | ( ~ (all_15_10 =
% 14.64/3.21 | | | 0) & p102(all_5_1) = all_15_10)) & (( ~ (all_15_13 = 0) &
% 14.64/3.21 | | | p100(all_5_1) = all_15_13) | (((all_15_11 = 0 & p1(all_5_1) =
% 14.64/3.21 | | | 0) | ( ! [v0: $i] : ( ~ (p100(v0) = 0) | ~ $i(v0) | ?
% 14.64/3.21 | | | [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p1(v0) = v2)
% 14.64/3.21 | | | | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i]
% 14.64/3.21 | | | : ( ~ (p1(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2:
% 14.64/3.21 | | | int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) &
% 14.64/3.21 | | | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~
% 14.64/3.21 | | | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ?
% 14.64/3.21 | | | [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 =
% 14.64/3.21 | | | 0) & p1(v0) = v1))))) & (( ~ (all_15_11 = 0) &
% 14.64/3.21 | | | p1(all_5_1) = all_15_11) | ( ! [v0: $i] : ! [v1: int] :
% 14.64/3.21 | | | (v1 = 0 | ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2: int] : ?
% 14.64/3.21 | | | [v3: int] : (( ~ (v3 = 0) & p100(v0) = v3) | ( ~ (v2 =
% 14.64/3.21 | | | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~
% 14.64/3.21 | | | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int]
% 14.64/3.21 | | | : ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1,
% 14.64/3.21 | | | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) =
% 14.64/3.21 | | | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 =
% 14.64/3.21 | | | 0 & p1(v0) = 0) | ( ~ (v2 = 0) & p100(v0) =
% 14.64/3.21 | | | v2)))))))
% 14.64/3.21 | | |
% 14.64/3.21 | | | ALPHA: (30) implies:
% 14.64/3.21 | | | (31) all_5_0 = 0 | (all_15_0 = 0 & all_15_3 = 0 & all_15_5 = 0 &
% 14.64/3.21 | | | all_15_7 = 0 & all_15_8 = 0 & ~ (all_15_1 = 0) & ~ (all_15_2 =
% 14.64/3.21 | | | 0) & ~ (all_15_6 = 0) & p102(all_15_4) = all_15_1 &
% 14.64/3.21 | | | p102(all_15_9) = all_15_6 & p101(all_15_4) = 0 & p101(all_15_9)
% 14.64/3.21 | | | = 0 & p2(all_15_4) = all_15_2 & p2(all_15_9) = 0 & r1(all_5_1,
% 14.64/3.21 | | | all_15_4) = 0 & r1(all_5_1, all_15_9) = 0) | ( ~ (all_15_13 =
% 14.64/3.21 | | | 0) & p100(all_5_1) = all_15_13)
% 14.64/3.21 | | |
% 14.64/3.21 | | | BETA: splitting (24) gives:
% 14.64/3.21 | | |
% 14.64/3.21 | | | Case 1:
% 14.64/3.21 | | | |
% 14.64/3.21 | | | | (32) all_13_0 = 0 & all_13_3 = 0 & all_13_5 = 0 & all_13_7 = 0 &
% 14.64/3.21 | | | | all_13_8 = 0 & ~ (all_13_1 = 0) & ~ (all_13_2 = 0) & ~
% 14.64/3.21 | | | | (all_13_6 = 0) & p102(all_13_4) = all_13_1 & p102(all_13_9) =
% 14.64/3.21 | | | | all_13_6 & p101(all_13_4) = 0 & p101(all_13_9) = 0 &
% 14.64/3.21 | | | | p2(all_13_4) = all_13_2 & p2(all_13_9) = 0 & r1(all_5_1,
% 14.64/3.21 | | | | all_13_4) = 0 & r1(all_5_1, all_13_9) = 0
% 14.64/3.21 | | | |
% 14.64/3.21 | | | | ALPHA: (32) implies:
% 14.64/3.21 | | | | (33) ~ (all_13_2 = 0)
% 14.64/3.21 | | | | (34) r1(all_5_1, all_13_4) = 0
% 14.64/3.21 | | | | (35) p2(all_13_4) = all_13_2
% 14.64/3.21 | | | |
% 14.64/3.21 | | | | BETA: splitting (31) gives:
% 14.64/3.21 | | | |
% 14.64/3.21 | | | | Case 1:
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | | (36) all_5_0 = 0
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | | REDUCE: (4), (36) imply:
% 14.64/3.21 | | | | | (37) $false
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | | CLOSE: (37) is inconsistent.
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | Case 2:
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | | GROUND_INST: instantiating (8) with all_13_4, simplifying with (14),
% 14.64/3.21 | | | | | (34) gives:
% 14.64/3.21 | | | | | (38) p2(all_13_4) = 0
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | | GROUND_INST: instantiating (1) with all_13_2, 0, all_13_4, simplifying
% 14.64/3.21 | | | | | with (35), (38) gives:
% 14.64/3.21 | | | | | (39) all_13_2 = 0
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | | REDUCE: (33), (39) imply:
% 14.64/3.21 | | | | | (40) $false
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | | CLOSE: (40) is inconsistent.
% 14.64/3.21 | | | | |
% 14.64/3.21 | | | | End of split
% 14.64/3.21 | | | |
% 14.64/3.21 | | | Case 2:
% 14.64/3.21 | | | |
% 14.64/3.21 | | | | (41) all_13_13 = 0 & p101(all_5_1) = 0
% 14.64/3.21 | | | |
% 14.64/3.21 | | | | ALPHA: (41) implies:
% 14.64/3.21 | | | | (42) p101(all_5_1) = 0
% 14.64/3.21 | | | |
% 14.64/3.22 | | | | GROUND_INST: instantiating (2) with all_5_0, 0, all_5_1, simplifying
% 14.64/3.22 | | | | with (6), (42) gives:
% 14.64/3.22 | | | | (43) all_5_0 = 0
% 14.64/3.22 | | | |
% 14.64/3.22 | | | | REDUCE: (4), (43) imply:
% 14.64/3.22 | | | | (44) $false
% 14.64/3.22 | | | |
% 14.64/3.22 | | | | CLOSE: (44) is inconsistent.
% 14.64/3.22 | | | |
% 14.64/3.22 | | | End of split
% 14.64/3.22 | | |
% 14.64/3.22 | | End of split
% 14.64/3.22 | |
% 14.64/3.22 | End of split
% 14.64/3.22 |
% 14.64/3.22 End of proof
% 14.64/3.22 % SZS output end Proof for theBenchmark
% 14.64/3.22
% 14.64/3.22 2604ms
%------------------------------------------------------------------------------