TSTP Solution File: RNG100+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : RNG100+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n007.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 13:57:52 EDT 2023
% Result : Theorem 19.48s 3.37s
% Output : Proof 32.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG100+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:23:42 EDT 2023
% 0.13/0.34 % 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/sandbox2/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 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 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
% 3.16/1.15 Prover 4: Preprocessing ...
% 3.16/1.15 Prover 1: Preprocessing ...
% 3.16/1.18 Prover 3: Preprocessing ...
% 3.16/1.18 Prover 0: Preprocessing ...
% 3.16/1.18 Prover 5: Preprocessing ...
% 3.16/1.19 Prover 2: Preprocessing ...
% 3.16/1.19 Prover 6: Preprocessing ...
% 9.93/2.08 Prover 1: Constructing countermodel ...
% 9.93/2.09 Prover 3: Constructing countermodel ...
% 9.93/2.10 Prover 5: Proving ...
% 9.93/2.11 Prover 6: Proving ...
% 10.37/2.13 Prover 2: Proving ...
% 11.37/2.30 Prover 4: Constructing countermodel ...
% 12.86/2.47 Prover 0: Proving ...
% 19.48/3.37 Prover 3: proved (2723ms)
% 19.48/3.37
% 19.48/3.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.48/3.37
% 19.48/3.38 Prover 5: stopped
% 19.48/3.38 Prover 0: stopped
% 19.48/3.39 Prover 6: stopped
% 19.48/3.39 Prover 2: stopped
% 19.48/3.40 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 19.48/3.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 19.48/3.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 19.48/3.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 19.93/3.41 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 20.35/3.46 Prover 8: Preprocessing ...
% 20.35/3.49 Prover 10: Preprocessing ...
% 20.35/3.49 Prover 7: Preprocessing ...
% 20.35/3.50 Prover 11: Preprocessing ...
% 20.35/3.51 Prover 13: Preprocessing ...
% 21.73/3.64 Prover 8: Warning: ignoring some quantifiers
% 21.79/3.66 Prover 8: Constructing countermodel ...
% 21.79/3.67 Prover 10: Constructing countermodel ...
% 22.28/3.71 Prover 7: Constructing countermodel ...
% 22.28/3.76 Prover 13: Warning: ignoring some quantifiers
% 22.68/3.78 Prover 13: Constructing countermodel ...
% 24.26/4.01 Prover 11: Constructing countermodel ...
% 31.43/4.89 Prover 1: Found proof (size 321)
% 31.43/4.89 Prover 1: proved (4260ms)
% 31.43/4.89 Prover 4: stopped
% 31.43/4.89 Prover 8: stopped
% 31.43/4.89 Prover 7: stopped
% 31.43/4.89 Prover 10: stopped
% 31.43/4.89 Prover 13: stopped
% 31.43/4.89 Prover 11: stopped
% 31.43/4.89
% 31.43/4.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.43/4.89
% 31.43/4.92 % SZS output start Proof for theBenchmark
% 31.43/4.92 Assumptions after simplification:
% 31.43/4.92 ---------------------------------
% 31.43/4.92
% 31.43/4.92 (mAMDistr)
% 31.43/4.95 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 31.43/4.95 $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~
% 31.43/4.95 (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] :
% 31.43/4.95 ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 31.43/4.95 [v12: $i] : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v9, v0) = v11 &
% 31.43/4.95 sdtasdt0(v2, v0) = v13 & sdtasdt0(v1, v0) = v12 & sdtasdt0(v0, v9) = v10 &
% 31.43/4.95 sdtpldt0(v12, v13) = v14 & sdtpldt0(v1, v2) = v9 & aElement0(v2) = v8 &
% 31.43/4.95 aElement0(v1) = v7 & aElement0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) &
% 31.43/4.95 $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) |
% 31.43/4.95 (v14 = v11 & v10 = v5))))
% 31.43/4.95
% 31.43/4.95 (mAddComm)
% 31.43/4.95 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 31.43/4.95 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 31.43/4.95 (sdtpldt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & $i(v5) &
% 31.43/4.95 ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 31.43/4.95
% 31.43/4.95 (mDefIdeal)
% 31.43/4.96 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (aIdeal0(v0) = v1) | ~ $i(v0) | ?
% 31.43/4.96 [v2: int] : ( ~ (v2 = 0) & aSet0(v0) = v2) | ? [v2: $i] : (aElementOf0(v2,
% 31.43/4.96 v0) = 0 & $i(v2) & ( ? [v3: $i] : ? [v4: $i] : ? [v5: int] : ( ~ (v5 =
% 31.43/4.96 0) & aElementOf0(v4, v0) = v5 & aElementOf0(v3, v0) = 0 &
% 31.43/4.96 sdtpldt0(v2, v3) = v4 & $i(v4) & $i(v3)) | ? [v3: $i] : ? [v4: $i] :
% 31.43/4.96 ? [v5: int] : ( ~ (v5 = 0) & aElementOf0(v4, v0) = v5 & sdtasdt0(v3,
% 31.43/4.96 v2) = v4 & aElement0(v3) = 0 & $i(v4) & $i(v3))))) & ! [v0: $i] : (
% 31.43/4.96 ~ (aIdeal0(v0) = 0) | ~ $i(v0) | (aSet0(v0) = 0 & ! [v1: $i] : ( ~
% 31.43/4.96 (aElementOf0(v1, v0) = 0) | ~ $i(v1) | ( ! [v2: $i] : ! [v3: $i] : !
% 31.43/4.96 [v4: int] : (v4 = 0 | ~ (aElementOf0(v3, v0) = v4) | ~ (sdtasdt0(v2,
% 31.43/4.96 v1) = v3) | ~ $i(v2) | ? [v5: int] : ( ~ (v5 = 0) &
% 31.43/4.96 aElement0(v2) = v5)) & ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 31.43/4.96 (v4 = 0 | ~ (aElementOf0(v3, v0) = v4) | ~ (sdtpldt0(v1, v2) = v3) |
% 31.43/4.96 ~ $i(v2) | ? [v5: int] : ( ~ (v5 = 0) & aElementOf0(v2, v0) =
% 31.43/4.96 v5))))))
% 31.43/4.96
% 31.43/4.96 (mDefPrIdeal)
% 31.43/4.96 ! [v0: $i] : ! [v1: $i] : ( ~ (slsdtgt0(v0) = v1) | ~ $i(v0) | ? [v2: int]
% 31.43/4.96 : ( ~ (v2 = 0) & aElement0(v0) = v2) | ( ! [v2: $i] : (v2 = v1 | ~
% 31.43/4.96 (aSet0(v2) = 0) | ~ $i(v2) | ? [v3: $i] : ? [v4: any] :
% 31.43/4.96 (aElementOf0(v3, v2) = v4 & $i(v3) & ( ~ (v4 = 0) | ! [v5: $i] : ( ~
% 31.43/4.96 (sdtasdt0(v0, v5) = v3) | ~ $i(v5) | ? [v6: int] : ( ~ (v6 = 0)
% 31.43/4.96 & aElement0(v5) = v6))) & (v4 = 0 | ? [v5: $i] : (sdtasdt0(v0,
% 31.43/4.96 v5) = v3 & aElement0(v5) = 0 & $i(v5))))) & ! [v2: any] : ( ~
% 31.43/4.96 (aSet0(v1) = v2) | ~ $i(v1) | (v2 = 0 & ! [v3: $i] : ! [v4: int] :
% 31.43/4.96 (v4 = 0 | ~ (aElementOf0(v3, v1) = v4) | ~ $i(v3) | ! [v5: $i] : (
% 31.43/4.96 ~ (sdtasdt0(v0, v5) = v3) | ~ $i(v5) | ? [v6: int] : ( ~ (v6 =
% 31.43/4.96 0) & aElement0(v5) = v6))) & ! [v3: $i] : ( ~
% 31.43/4.96 (aElementOf0(v3, v1) = 0) | ~ $i(v3) | ? [v4: $i] : (sdtasdt0(v0,
% 31.43/4.96 v4) = v3 & aElement0(v4) = 0 & $i(v4)))))))
% 31.43/4.96
% 31.43/4.96 (mEOfElem)
% 31.43/4.96 ! [v0: $i] : ( ~ (aSet0(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ( ~
% 31.43/4.96 (aElementOf0(v1, v0) = 0) | ~ $i(v1) | aElement0(v1) = 0))
% 31.43/4.96
% 31.43/4.96 (mMulAsso)
% 31.43/4.96 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 31.43/4.96 (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1)
% 31.43/4.96 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ?
% 31.43/4.96 [v9: $i] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 & aElement0(v2) =
% 31.43/4.96 v7 & aElement0(v1) = v6 & aElement0(v0) = v5 & $i(v9) & $i(v8) & ( ~ (v7 =
% 31.43/4.96 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4)))
% 31.43/4.96
% 31.43/4.96 (mMulComm)
% 31.43/4.96 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 31.43/4.96 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 31.43/4.96 (sdtasdt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & $i(v5) &
% 31.43/4.96 ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 31.43/4.96
% 31.43/4.96 (mSortsB)
% 31.43/4.96 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 31.43/4.96 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 31.43/4.96 (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0)
% 31.43/4.96 | ~ (v3 = 0) | v5 = 0)))
% 31.43/4.96
% 31.43/4.96 (mSortsB_02)
% 31.43/4.97 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 31.43/4.97 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 31.43/4.97 (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0)
% 31.43/4.97 | ~ (v3 = 0) | v5 = 0)))
% 31.43/4.97
% 31.43/4.97 (m__)
% 31.43/4.97 $i(xc) & ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & slsdtgt0(xc) = v0 &
% 31.43/4.97 aIdeal0(v0) = v1 & aSet0(v0) = 0 & $i(v0) & ! [v2: $i] : ! [v3: int] : (v3
% 31.43/4.97 = 0 | ~ (aElementOf0(v2, v0) = v3) | ~ $i(v2) | ! [v4: $i] : ( ~
% 31.43/4.97 (sdtasdt0(xc, v4) = v2) | ~ $i(v4) | ? [v5: int] : ( ~ (v5 = 0) &
% 31.43/4.97 aElement0(v4) = v5))) & ! [v2: $i] : ( ~ (aElementOf0(v2, v0) = 0) |
% 31.43/4.97 ~ $i(v2) | ? [v3: $i] : (sdtasdt0(xc, v3) = v2 & aElement0(v3) = 0 &
% 31.43/4.97 $i(v3))) & ? [v2: $i] : (aElementOf0(v2, v0) = 0 & $i(v2) & ( ? [v3:
% 31.43/4.97 $i] : ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) & aElementOf0(v4, v0)
% 31.43/4.97 = v5 & aElementOf0(v3, v0) = 0 & sdtpldt0(v2, v3) = v4 & $i(v4) &
% 31.43/4.97 $i(v3)) | ? [v3: $i] : ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 31.43/4.97 aElementOf0(v4, v0) = v5 & sdtasdt0(v3, v2) = v4 & aElement0(v3) = 0 &
% 31.43/4.97 $i(v4) & $i(v3)))))
% 31.43/4.97
% 31.43/4.97 (m__1905)
% 31.43/4.97 aElement0(xc) = 0 & $i(xc)
% 31.43/4.97
% 31.43/4.97 (function-axioms)
% 31.82/4.97 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 31.82/4.97 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (aGcdOfAnd0(v4, v3, v2) = v1) | ~
% 31.82/4.97 (aGcdOfAnd0(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 31.82/4.97 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 31.82/4.97 (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v1) | ~ (sdteqdtlpzmzozddtrp0(v4, v3,
% 31.82/4.97 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 31.82/4.97 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (misRelativelyPrime0(v3, v2) = v1) |
% 31.82/4.97 ~ (misRelativelyPrime0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 31.82/4.97 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 31.82/4.97 (aDivisorOf0(v3, v2) = v1) | ~ (aDivisorOf0(v3, v2) = v0)) & ! [v0:
% 31.82/4.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 31.82/4.97 : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & !
% 31.82/4.97 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 31.82/4.97 $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & !
% 31.82/4.97 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 31.82/4.97 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 31.82/4.97 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt1(v3, v2) = v1) |
% 31.82/4.97 ~ (sdtpldt1(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 31.82/4.97 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 31.82/4.97 (aElementOf0(v3, v2) = v1) | ~ (aElementOf0(v3, v2) = v0)) & ! [v0: $i] :
% 31.82/4.97 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1)
% 31.82/4.97 | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 31.82/4.97 [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 31.82/4.97 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (slsdtgt0(v2) = v1)
% 31.82/4.97 | ~ (slsdtgt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 31.82/4.97 v0 | ~ (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) & ! [v0:
% 31.82/4.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 31.82/4.97 ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) & ! [v0:
% 31.82/4.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 31.82/4.97 ~ (aIdeal0(v2) = v1) | ~ (aIdeal0(v2) = v0)) & ! [v0: MultipleValueBool] :
% 31.82/4.97 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aSet0(v2) = v1) | ~
% 31.82/4.97 (aSet0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 31.82/4.97 (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 31.82/4.97 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aElement0(v2) = v1) |
% 31.82/4.97 ~ (aElement0(v2) = v0))
% 31.82/4.97
% 31.82/4.97 Further assumptions not needed in the proof:
% 31.82/4.97 --------------------------------------------
% 31.82/4.97 mAddAsso, mAddInvr, mAddZero, mCancel, mChineseRemainder, mDefDiv, mDefDvs,
% 31.82/4.97 mDefGCD, mDefMod, mDefRel, mDefSInt, mDefSSum, mDivision, mElmSort, mEucSort,
% 31.82/4.97 mIdeInt, mIdeSum, mMulMnOne, mMulUnit, mMulZero, mNatLess, mNatSort, mSetEq,
% 31.82/4.97 mSetSort, mSortsC, mSortsC_01, mSortsU, mUnNeZr
% 31.82/4.97
% 31.82/4.97 Those formulas are unsatisfiable:
% 31.82/4.97 ---------------------------------
% 31.82/4.97
% 31.82/4.97 Begin of proof
% 31.82/4.97 |
% 31.82/4.97 | ALPHA: (mDefIdeal) implies:
% 31.82/4.98 | (1) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (aIdeal0(v0) = v1) | ~
% 31.82/4.98 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & aSet0(v0) = v2) | ? [v2: $i]
% 31.82/4.98 | : (aElementOf0(v2, v0) = 0 & $i(v2) & ( ? [v3: $i] : ? [v4: $i] : ?
% 31.82/4.98 | [v5: int] : ( ~ (v5 = 0) & aElementOf0(v4, v0) = v5 &
% 31.82/4.98 | aElementOf0(v3, v0) = 0 & sdtpldt0(v2, v3) = v4 & $i(v4) &
% 31.82/4.98 | $i(v3)) | ? [v3: $i] : ? [v4: $i] : ? [v5: int] : ( ~ (v5 =
% 31.82/4.98 | 0) & aElementOf0(v4, v0) = v5 & sdtasdt0(v3, v2) = v4 &
% 31.82/4.98 | aElement0(v3) = 0 & $i(v4) & $i(v3)))))
% 31.82/4.98 |
% 31.82/4.98 | ALPHA: (m__1905) implies:
% 31.85/4.98 | (2) aElement0(xc) = 0
% 31.85/4.98 |
% 31.85/4.98 | ALPHA: (m__) implies:
% 31.85/4.98 | (3) $i(xc)
% 31.85/4.98 | (4) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & slsdtgt0(xc) = v0 &
% 31.85/4.98 | aIdeal0(v0) = v1 & aSet0(v0) = 0 & $i(v0) & ! [v2: $i] : ! [v3:
% 31.85/4.98 | int] : (v3 = 0 | ~ (aElementOf0(v2, v0) = v3) | ~ $i(v2) | !
% 31.85/4.98 | [v4: $i] : ( ~ (sdtasdt0(xc, v4) = v2) | ~ $i(v4) | ? [v5: int] :
% 31.85/4.98 | ( ~ (v5 = 0) & aElement0(v4) = v5))) & ! [v2: $i] : ( ~
% 31.85/4.98 | (aElementOf0(v2, v0) = 0) | ~ $i(v2) | ? [v3: $i] : (sdtasdt0(xc,
% 31.85/4.98 | v3) = v2 & aElement0(v3) = 0 & $i(v3))) & ? [v2: $i] :
% 31.85/4.98 | (aElementOf0(v2, v0) = 0 & $i(v2) & ( ? [v3: $i] : ? [v4: $i] : ?
% 31.85/4.98 | [v5: int] : ( ~ (v5 = 0) & aElementOf0(v4, v0) = v5 &
% 31.85/4.98 | aElementOf0(v3, v0) = 0 & sdtpldt0(v2, v3) = v4 & $i(v4) &
% 31.85/4.98 | $i(v3)) | ? [v3: $i] : ? [v4: $i] : ? [v5: int] : ( ~ (v5 =
% 31.85/4.98 | 0) & aElementOf0(v4, v0) = v5 & sdtasdt0(v3, v2) = v4 &
% 31.85/4.98 | aElement0(v3) = 0 & $i(v4) & $i(v3)))))
% 31.85/4.98 |
% 31.85/4.98 | ALPHA: (function-axioms) implies:
% 31.85/4.98 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 31.85/4.98 | (v1 = v0 | ~ (aElement0(v2) = v1) | ~ (aElement0(v2) = v0))
% 31.85/4.98 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 31.85/4.98 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 31.85/4.98 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 31.85/4.98 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 31.85/4.98 |
% 31.85/4.98 | DELTA: instantiating (4) with fresh symbols all_36_0, all_36_1 gives:
% 31.85/4.98 | (8) ~ (all_36_0 = 0) & slsdtgt0(xc) = all_36_1 & aIdeal0(all_36_1) =
% 31.85/4.98 | all_36_0 & aSet0(all_36_1) = 0 & $i(all_36_1) & ! [v0: $i] : ! [v1:
% 31.85/4.98 | int] : (v1 = 0 | ~ (aElementOf0(v0, all_36_1) = v1) | ~ $i(v0) | !
% 31.85/4.98 | [v2: $i] : ( ~ (sdtasdt0(xc, v2) = v0) | ~ $i(v2) | ? [v3: int] : (
% 31.85/4.98 | ~ (v3 = 0) & aElement0(v2) = v3))) & ! [v0: $i] : ( ~
% 31.85/4.98 | (aElementOf0(v0, all_36_1) = 0) | ~ $i(v0) | ? [v1: $i] :
% 31.85/4.98 | (sdtasdt0(xc, v1) = v0 & aElement0(v1) = 0 & $i(v1))) & ? [v0: $i] :
% 31.85/4.98 | (aElementOf0(v0, all_36_1) = 0 & $i(v0) & ( ? [v1: $i] : ? [v2: $i] :
% 31.85/4.98 | ? [v3: int] : ( ~ (v3 = 0) & aElementOf0(v2, all_36_1) = v3 &
% 31.85/4.98 | aElementOf0(v1, all_36_1) = 0 & sdtpldt0(v0, v1) = v2 & $i(v2) &
% 31.85/4.98 | $i(v1)) | ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0)
% 31.85/4.98 | & aElementOf0(v2, all_36_1) = v3 & sdtasdt0(v1, v0) = v2 &
% 31.85/4.98 | aElement0(v1) = 0 & $i(v2) & $i(v1))))
% 31.85/4.98 |
% 31.85/4.98 | ALPHA: (8) implies:
% 31.85/4.99 | (9) ~ (all_36_0 = 0)
% 31.85/4.99 | (10) $i(all_36_1)
% 31.85/4.99 | (11) aSet0(all_36_1) = 0
% 31.85/4.99 | (12) aIdeal0(all_36_1) = all_36_0
% 31.85/4.99 | (13) slsdtgt0(xc) = all_36_1
% 31.85/4.99 | (14) ! [v0: $i] : ( ~ (aElementOf0(v0, all_36_1) = 0) | ~ $i(v0) | ?
% 31.85/4.99 | [v1: $i] : (sdtasdt0(xc, v1) = v0 & aElement0(v1) = 0 & $i(v1)))
% 31.85/4.99 | (15) ? [v0: $i] : (aElementOf0(v0, all_36_1) = 0 & $i(v0) & ( ? [v1: $i] :
% 31.85/4.99 | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & aElementOf0(v2,
% 31.85/4.99 | all_36_1) = v3 & aElementOf0(v1, all_36_1) = 0 & sdtpldt0(v0,
% 31.85/4.99 | v1) = v2 & $i(v2) & $i(v1)) | ? [v1: $i] : ? [v2: $i] : ?
% 31.85/4.99 | [v3: int] : ( ~ (v3 = 0) & aElementOf0(v2, all_36_1) = v3 &
% 31.85/4.99 | sdtasdt0(v1, v0) = v2 & aElement0(v1) = 0 & $i(v2) & $i(v1))))
% 31.85/4.99 |
% 31.85/4.99 | DELTA: instantiating (15) with fresh symbol all_39_0 gives:
% 31.85/4.99 | (16) aElementOf0(all_39_0, all_36_1) = 0 & $i(all_39_0) & ( ? [v0: $i] : ?
% 31.85/4.99 | [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & aElementOf0(v1, all_36_1) =
% 31.85/4.99 | v2 & aElementOf0(v0, all_36_1) = 0 & sdtpldt0(all_39_0, v0) = v1 &
% 31.85/4.99 | $i(v1) & $i(v0)) | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~
% 31.85/4.99 | (v2 = 0) & aElementOf0(v1, all_36_1) = v2 & sdtasdt0(v0, all_39_0)
% 31.85/4.99 | = v1 & aElement0(v0) = 0 & $i(v1) & $i(v0)))
% 31.85/4.99 |
% 31.85/4.99 | ALPHA: (16) implies:
% 31.85/4.99 | (17) $i(all_39_0)
% 31.85/4.99 | (18) aElementOf0(all_39_0, all_36_1) = 0
% 31.85/4.99 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 31.85/4.99 | aElementOf0(v1, all_36_1) = v2 & aElementOf0(v0, all_36_1) = 0 &
% 31.85/4.99 | sdtpldt0(all_39_0, v0) = v1 & $i(v1) & $i(v0)) | ? [v0: $i] : ?
% 31.85/4.99 | [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & aElementOf0(v1, all_36_1) =
% 31.85/4.99 | v2 & sdtasdt0(v0, all_39_0) = v1 & aElement0(v0) = 0 & $i(v1) &
% 31.85/4.99 | $i(v0))
% 31.85/4.99 |
% 31.85/4.99 | GROUND_INST: instantiating (14) with all_39_0, simplifying with (17), (18)
% 31.85/4.99 | gives:
% 31.85/4.99 | (20) ? [v0: $i] : (sdtasdt0(xc, v0) = all_39_0 & aElement0(v0) = 0 &
% 31.85/4.99 | $i(v0))
% 31.85/4.99 |
% 31.85/4.99 | GROUND_INST: instantiating (mEOfElem) with all_36_1, simplifying with (10),
% 31.85/4.99 | (11) gives:
% 31.85/4.99 | (21) ! [v0: $i] : ( ~ (aElementOf0(v0, all_36_1) = 0) | ~ $i(v0) |
% 31.85/4.99 | aElement0(v0) = 0)
% 31.85/4.99 |
% 31.85/4.99 | GROUND_INST: instantiating (1) with all_36_1, all_36_0, simplifying with (10),
% 31.85/4.99 | (12) gives:
% 31.85/4.99 | (22) all_36_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & aSet0(all_36_1) = v0) |
% 31.85/4.99 | ? [v0: $i] : (aElementOf0(v0, all_36_1) = 0 & $i(v0) & ( ? [v1: $i] :
% 31.85/4.99 | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & aElementOf0(v2,
% 31.85/4.99 | all_36_1) = v3 & aElementOf0(v1, all_36_1) = 0 & sdtpldt0(v0,
% 31.85/4.99 | v1) = v2 & $i(v2) & $i(v1)) | ? [v1: $i] : ? [v2: $i] : ?
% 31.85/4.99 | [v3: int] : ( ~ (v3 = 0) & aElementOf0(v2, all_36_1) = v3 &
% 31.85/4.99 | sdtasdt0(v1, v0) = v2 & aElement0(v1) = 0 & $i(v2) & $i(v1))))
% 31.85/4.99 |
% 31.85/4.99 | GROUND_INST: instantiating (mDefPrIdeal) with xc, all_36_1, simplifying with
% 31.85/4.99 | (3), (13) gives:
% 31.85/5.00 | (23) ? [v0: int] : ( ~ (v0 = 0) & aElement0(xc) = v0) | ( ! [v0: any] :
% 31.85/5.00 | (v0 = all_36_1 | ~ (aSet0(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ?
% 31.85/5.00 | [v2: any] : (aElementOf0(v1, v0) = v2 & $i(v1) & ( ~ (v2 = 0) | !
% 31.85/5.00 | [v3: $i] : ( ~ (sdtasdt0(xc, v3) = v1) | ~ $i(v3) | ? [v4:
% 31.85/5.00 | int] : ( ~ (v4 = 0) & aElement0(v3) = v4))) & (v2 = 0 | ?
% 31.85/5.00 | [v3: $i] : (sdtasdt0(xc, v3) = v1 & aElement0(v3) = 0 &
% 31.85/5.00 | $i(v3))))) & ! [v0: any] : ( ~ (aSet0(all_36_1) = v0) | ~
% 31.85/5.00 | $i(all_36_1) | (v0 = 0 & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 31.85/5.00 | (aElementOf0(v1, all_36_1) = v2) | ~ $i(v1) | ! [v3: $i] : (
% 31.85/5.00 | ~ (sdtasdt0(xc, v3) = v1) | ~ $i(v3) | ? [v4: int] : ( ~
% 31.85/5.00 | (v4 = 0) & aElement0(v3) = v4))) & ! [v1: $i] : ( ~
% 31.85/5.00 | (aElementOf0(v1, all_36_1) = 0) | ~ $i(v1) | ? [v2: $i] :
% 31.85/5.00 | (sdtasdt0(xc, v2) = v1 & aElement0(v2) = 0 & $i(v2))))))
% 31.85/5.00 |
% 31.85/5.00 | GROUND_INST: instantiating (21) with all_39_0, simplifying with (17), (18)
% 31.85/5.00 | gives:
% 31.85/5.00 | (24) aElement0(all_39_0) = 0
% 31.85/5.00 |
% 31.85/5.00 | DELTA: instantiating (20) with fresh symbol all_60_0 gives:
% 31.85/5.00 | (25) sdtasdt0(xc, all_60_0) = all_39_0 & aElement0(all_60_0) = 0 &
% 31.85/5.00 | $i(all_60_0)
% 31.85/5.00 |
% 31.85/5.00 | ALPHA: (25) implies:
% 31.85/5.00 | (26) $i(all_60_0)
% 31.85/5.00 | (27) aElement0(all_60_0) = 0
% 31.85/5.00 | (28) sdtasdt0(xc, all_60_0) = all_39_0
% 31.85/5.00 |
% 31.85/5.00 | BETA: splitting (23) gives:
% 31.85/5.00 |
% 31.85/5.00 | Case 1:
% 31.85/5.00 | |
% 31.85/5.00 | | (29) ? [v0: int] : ( ~ (v0 = 0) & aElement0(xc) = v0)
% 31.85/5.00 | |
% 31.85/5.00 | | DELTA: instantiating (29) with fresh symbol all_67_0 gives:
% 31.85/5.00 | | (30) ~ (all_67_0 = 0) & aElement0(xc) = all_67_0
% 31.85/5.00 | |
% 31.85/5.00 | | ALPHA: (30) implies:
% 31.85/5.00 | | (31) ~ (all_67_0 = 0)
% 31.85/5.00 | | (32) aElement0(xc) = all_67_0
% 31.85/5.00 | |
% 31.85/5.00 | | GROUND_INST: instantiating (5) with 0, all_67_0, xc, simplifying with (2),
% 31.85/5.00 | | (32) gives:
% 31.85/5.00 | | (33) all_67_0 = 0
% 31.85/5.00 | |
% 31.85/5.00 | | REDUCE: (31), (33) imply:
% 31.85/5.00 | | (34) $false
% 31.85/5.00 | |
% 31.85/5.00 | | CLOSE: (34) is inconsistent.
% 31.85/5.00 | |
% 31.85/5.00 | Case 2:
% 31.85/5.00 | |
% 31.97/5.00 | | (35) ! [v0: any] : (v0 = all_36_1 | ~ (aSet0(v0) = 0) | ~ $i(v0) | ?
% 31.97/5.00 | | [v1: $i] : ? [v2: any] : (aElementOf0(v1, v0) = v2 & $i(v1) & ( ~
% 31.97/5.00 | | (v2 = 0) | ! [v3: $i] : ( ~ (sdtasdt0(xc, v3) = v1) | ~
% 31.97/5.00 | | $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aElement0(v3) = v4)))
% 31.97/5.00 | | & (v2 = 0 | ? [v3: $i] : (sdtasdt0(xc, v3) = v1 & aElement0(v3)
% 31.97/5.00 | | = 0 & $i(v3))))) & ! [v0: any] : ( ~ (aSet0(all_36_1) = v0)
% 31.97/5.00 | | | ~ $i(all_36_1) | (v0 = 0 & ! [v1: $i] : ! [v2: int] : (v2 = 0
% 31.97/5.00 | | | ~ (aElementOf0(v1, all_36_1) = v2) | ~ $i(v1) | ! [v3:
% 31.97/5.00 | | $i] : ( ~ (sdtasdt0(xc, v3) = v1) | ~ $i(v3) | ? [v4: int]
% 31.97/5.00 | | : ( ~ (v4 = 0) & aElement0(v3) = v4))) & ! [v1: $i] : ( ~
% 31.97/5.00 | | (aElementOf0(v1, all_36_1) = 0) | ~ $i(v1) | ? [v2: $i] :
% 31.97/5.00 | | (sdtasdt0(xc, v2) = v1 & aElement0(v2) = 0 & $i(v2)))))
% 31.97/5.00 | |
% 31.97/5.00 | | ALPHA: (35) implies:
% 31.97/5.00 | | (36) ! [v0: any] : ( ~ (aSet0(all_36_1) = v0) | ~ $i(all_36_1) | (v0 =
% 31.97/5.00 | | 0 & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (aElementOf0(v1,
% 31.97/5.00 | | all_36_1) = v2) | ~ $i(v1) | ! [v3: $i] : ( ~
% 31.97/5.00 | | (sdtasdt0(xc, v3) = v1) | ~ $i(v3) | ? [v4: int] : ( ~ (v4
% 31.97/5.00 | | = 0) & aElement0(v3) = v4))) & ! [v1: $i] : ( ~
% 31.97/5.00 | | (aElementOf0(v1, all_36_1) = 0) | ~ $i(v1) | ? [v2: $i] :
% 31.97/5.00 | | (sdtasdt0(xc, v2) = v1 & aElement0(v2) = 0 & $i(v2)))))
% 31.97/5.00 | |
% 31.97/5.00 | | GROUND_INST: instantiating (36) with 0, simplifying with (10), (11) gives:
% 31.97/5.01 | | (37) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (aElementOf0(v0, all_36_1)
% 31.97/5.01 | | = v1) | ~ $i(v0) | ! [v2: $i] : ( ~ (sdtasdt0(xc, v2) = v0) |
% 31.97/5.01 | | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) & aElement0(v2) = v3))) &
% 31.97/5.01 | | ! [v0: $i] : ( ~ (aElementOf0(v0, all_36_1) = 0) | ~ $i(v0) | ?
% 31.97/5.01 | | [v1: $i] : (sdtasdt0(xc, v1) = v0 & aElement0(v1) = 0 & $i(v1)))
% 31.97/5.01 | |
% 31.97/5.01 | | ALPHA: (37) implies:
% 31.97/5.01 | | (38) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (aElementOf0(v0, all_36_1)
% 31.97/5.01 | | = v1) | ~ $i(v0) | ! [v2: $i] : ( ~ (sdtasdt0(xc, v2) = v0) |
% 31.97/5.01 | | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) & aElement0(v2) = v3)))
% 31.97/5.01 | |
% 31.97/5.01 | | BETA: splitting (22) gives:
% 31.97/5.01 | |
% 31.97/5.01 | | Case 1:
% 31.97/5.01 | | |
% 31.97/5.01 | | | (39) all_36_0 = 0
% 31.97/5.01 | | |
% 31.97/5.01 | | | REDUCE: (9), (39) imply:
% 31.97/5.01 | | | (40) $false
% 31.97/5.01 | | |
% 31.97/5.01 | | | CLOSE: (40) is inconsistent.
% 31.97/5.01 | | |
% 31.97/5.01 | | Case 2:
% 31.97/5.01 | | |
% 31.97/5.01 | | |
% 31.97/5.01 | | | DELTA: instantiating (15) with fresh symbol all_74_0 gives:
% 31.97/5.01 | | | (41) aElementOf0(all_74_0, all_36_1) = 0 & $i(all_74_0) & ( ? [v0: $i]
% 31.97/5.01 | | | : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & aElementOf0(v1,
% 31.97/5.01 | | | all_36_1) = v2 & aElementOf0(v0, all_36_1) = 0 &
% 31.97/5.01 | | | sdtpldt0(all_74_0, v0) = v1 & $i(v1) & $i(v0)) | ? [v0: $i] :
% 31.97/5.01 | | | ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & aElementOf0(v1,
% 31.97/5.01 | | | all_36_1) = v2 & sdtasdt0(v0, all_74_0) = v1 & aElement0(v0)
% 31.97/5.01 | | | = 0 & $i(v1) & $i(v0)))
% 31.97/5.01 | | |
% 31.97/5.01 | | | ALPHA: (41) implies:
% 31.97/5.01 | | | (42) $i(all_74_0)
% 31.97/5.01 | | | (43) aElementOf0(all_74_0, all_36_1) = 0
% 31.97/5.01 | | |
% 31.97/5.01 | | | GROUND_INST: instantiating (mMulComm) with xc, all_60_0, all_39_0,
% 31.97/5.01 | | | simplifying with (3), (26), (28) gives:
% 31.97/5.01 | | | (44) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(all_60_0,
% 31.97/5.01 | | | xc) = v2 & aElement0(all_60_0) = v1 & aElement0(xc) = v0 &
% 31.97/5.01 | | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_39_0))
% 31.97/5.01 | | |
% 31.97/5.01 | | | GROUND_INST: instantiating (14) with all_74_0, simplifying with (42), (43)
% 31.97/5.01 | | | gives:
% 31.97/5.01 | | | (45) ? [v0: $i] : (sdtasdt0(xc, v0) = all_74_0 & aElement0(v0) = 0 &
% 31.97/5.01 | | | $i(v0))
% 31.97/5.01 | | |
% 31.97/5.01 | | | DELTA: instantiating (45) with fresh symbol all_120_0 gives:
% 31.97/5.01 | | | (46) sdtasdt0(xc, all_120_0) = all_74_0 & aElement0(all_120_0) = 0 &
% 31.97/5.01 | | | $i(all_120_0)
% 31.97/5.01 | | |
% 31.97/5.01 | | | ALPHA: (46) implies:
% 31.97/5.01 | | | (47) $i(all_120_0)
% 31.97/5.01 | | | (48) sdtasdt0(xc, all_120_0) = all_74_0
% 31.97/5.01 | | |
% 31.97/5.01 | | | DELTA: instantiating (44) with fresh symbols all_122_0, all_122_1,
% 31.97/5.01 | | | all_122_2 gives:
% 31.97/5.01 | | | (49) sdtasdt0(all_60_0, xc) = all_122_0 & aElement0(all_60_0) =
% 31.97/5.01 | | | all_122_1 & aElement0(xc) = all_122_2 & $i(all_122_0) & ( ~
% 31.97/5.01 | | | (all_122_1 = 0) | ~ (all_122_2 = 0) | all_122_0 = all_39_0)
% 31.97/5.01 | | |
% 31.97/5.01 | | | ALPHA: (49) implies:
% 31.97/5.01 | | | (50) $i(all_122_0)
% 31.97/5.01 | | | (51) aElement0(xc) = all_122_2
% 31.97/5.01 | | | (52) aElement0(all_60_0) = all_122_1
% 31.97/5.01 | | | (53) sdtasdt0(all_60_0, xc) = all_122_0
% 31.97/5.01 | | | (54) ~ (all_122_1 = 0) | ~ (all_122_2 = 0) | all_122_0 = all_39_0
% 31.97/5.01 | | |
% 31.97/5.01 | | | GROUND_INST: instantiating (5) with 0, all_122_2, xc, simplifying with
% 31.97/5.01 | | | (2), (51) gives:
% 31.97/5.01 | | | (55) all_122_2 = 0
% 31.97/5.01 | | |
% 31.97/5.01 | | | GROUND_INST: instantiating (5) with 0, all_122_1, all_60_0, simplifying
% 31.97/5.01 | | | with (27), (52) gives:
% 31.97/5.01 | | | (56) all_122_1 = 0
% 31.97/5.01 | | |
% 31.97/5.01 | | | BETA: splitting (54) gives:
% 31.97/5.01 | | |
% 31.97/5.01 | | | Case 1:
% 31.97/5.01 | | | |
% 31.97/5.01 | | | | (57) ~ (all_122_1 = 0)
% 31.97/5.01 | | | |
% 31.97/5.01 | | | | REDUCE: (56), (57) imply:
% 31.97/5.01 | | | | (58) $false
% 31.97/5.01 | | | |
% 31.97/5.01 | | | | CLOSE: (58) is inconsistent.
% 31.97/5.01 | | | |
% 31.97/5.01 | | | Case 2:
% 31.97/5.01 | | | |
% 31.97/5.01 | | | | (59) ~ (all_122_2 = 0) | all_122_0 = all_39_0
% 31.97/5.01 | | | |
% 31.97/5.01 | | | | BETA: splitting (59) gives:
% 31.97/5.01 | | | |
% 31.97/5.01 | | | | Case 1:
% 31.97/5.01 | | | | |
% 31.97/5.01 | | | | | (60) ~ (all_122_2 = 0)
% 31.97/5.01 | | | | |
% 31.97/5.01 | | | | | REDUCE: (55), (60) imply:
% 31.97/5.01 | | | | | (61) $false
% 31.97/5.01 | | | | |
% 31.97/5.01 | | | | | CLOSE: (61) is inconsistent.
% 31.97/5.01 | | | | |
% 31.97/5.01 | | | | Case 2:
% 31.97/5.01 | | | | |
% 31.97/5.01 | | | | | (62) all_122_0 = all_39_0
% 31.97/5.01 | | | | |
% 31.97/5.01 | | | | | REDUCE: (53), (62) imply:
% 31.97/5.01 | | | | | (63) sdtasdt0(all_60_0, xc) = all_39_0
% 31.97/5.01 | | | | |
% 31.97/5.01 | | | | | GROUND_INST: instantiating (mMulComm) with xc, all_120_0, all_74_0,
% 31.97/5.01 | | | | | simplifying with (3), (47), (48) gives:
% 31.97/5.01 | | | | | (64) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 31.97/5.01 | | | | | (sdtasdt0(all_120_0, xc) = v2 & aElement0(all_120_0) = v1 &
% 31.97/5.02 | | | | | aElement0(xc) = v0 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 31.97/5.02 | | | | | v2 = all_74_0))
% 31.97/5.02 | | | | |
% 31.97/5.02 | | | | | DELTA: instantiating (64) with fresh symbols all_171_0, all_171_1,
% 31.97/5.02 | | | | | all_171_2 gives:
% 31.97/5.02 | | | | | (65) sdtasdt0(all_120_0, xc) = all_171_0 & aElement0(all_120_0) =
% 31.97/5.02 | | | | | all_171_1 & aElement0(xc) = all_171_2 & $i(all_171_0) & ( ~
% 31.97/5.02 | | | | | (all_171_1 = 0) | ~ (all_171_2 = 0) | all_171_0 = all_74_0)
% 31.97/5.02 | | | | |
% 31.97/5.02 | | | | | ALPHA: (65) implies:
% 31.97/5.02 | | | | | (66) aElement0(xc) = all_171_2
% 31.97/5.02 | | | | |
% 31.97/5.02 | | | | | GROUND_INST: instantiating (5) with 0, all_171_2, xc, simplifying with
% 31.97/5.02 | | | | | (2), (66) gives:
% 31.97/5.02 | | | | | (67) all_171_2 = 0
% 31.97/5.02 | | | | |
% 31.97/5.02 | | | | | BETA: splitting (19) gives:
% 31.97/5.02 | | | | |
% 31.97/5.02 | | | | | Case 1:
% 31.97/5.02 | | | | | |
% 31.97/5.02 | | | | | | (68) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 31.97/5.02 | | | | | | aElementOf0(v1, all_36_1) = v2 & aElementOf0(v0, all_36_1)
% 31.97/5.02 | | | | | | = 0 & sdtpldt0(all_39_0, v0) = v1 & $i(v1) & $i(v0))
% 31.97/5.02 | | | | | |
% 31.97/5.02 | | | | | | DELTA: instantiating (68) with fresh symbols all_190_0, all_190_1,
% 31.97/5.02 | | | | | | all_190_2 gives:
% 31.97/5.02 | | | | | | (69) ~ (all_190_0 = 0) & aElementOf0(all_190_1, all_36_1) =
% 31.97/5.02 | | | | | | all_190_0 & aElementOf0(all_190_2, all_36_1) = 0 &
% 31.97/5.02 | | | | | | sdtpldt0(all_39_0, all_190_2) = all_190_1 & $i(all_190_1) &
% 31.97/5.02 | | | | | | $i(all_190_2)
% 31.97/5.02 | | | | | |
% 31.97/5.02 | | | | | | ALPHA: (69) implies:
% 31.97/5.02 | | | | | | (70) ~ (all_190_0 = 0)
% 31.97/5.02 | | | | | | (71) $i(all_190_2)
% 31.97/5.02 | | | | | | (72) $i(all_190_1)
% 31.97/5.02 | | | | | | (73) sdtpldt0(all_39_0, all_190_2) = all_190_1
% 31.97/5.02 | | | | | | (74) aElementOf0(all_190_2, all_36_1) = 0
% 31.97/5.02 | | | | | | (75) aElementOf0(all_190_1, all_36_1) = all_190_0
% 31.97/5.02 | | | | | |
% 31.97/5.02 | | | | | | GROUND_INST: instantiating (mAddComm) with all_39_0, all_190_2,
% 31.97/5.02 | | | | | | all_190_1, simplifying with (17), (71), (73) gives:
% 31.97/5.02 | | | | | | (76) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 31.97/5.02 | | | | | | (sdtpldt0(all_190_2, all_39_0) = v2 & aElement0(all_190_2) =
% 31.97/5.02 | | | | | | v1 & aElement0(all_39_0) = v0 & $i(v2) & ( ~ (v1 = 0) | ~
% 31.97/5.02 | | | | | | (v0 = 0) | v2 = all_190_1))
% 31.97/5.02 | | | | | |
% 31.97/5.02 | | | | | | GROUND_INST: instantiating (mSortsB) with all_39_0, all_190_2,
% 31.97/5.02 | | | | | | all_190_1, simplifying with (17), (71), (73) gives:
% 31.97/5.02 | | | | | | (77) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 31.97/5.02 | | | | | | (aElement0(all_190_1) = v2 & aElement0(all_190_2) = v1 &
% 31.97/5.02 | | | | | | aElement0(all_39_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2
% 31.97/5.02 | | | | | | = 0))
% 31.97/5.02 | | | | | |
% 31.97/5.02 | | | | | | GROUND_INST: instantiating (21) with all_190_2, simplifying with
% 31.97/5.02 | | | | | | (71), (74) gives:
% 31.97/5.02 | | | | | | (78) aElement0(all_190_2) = 0
% 31.97/5.02 | | | | | |
% 31.97/5.02 | | | | | | GROUND_INST: instantiating (14) with all_190_2, simplifying with
% 31.97/5.02 | | | | | | (71), (74) gives:
% 31.97/5.02 | | | | | | (79) ? [v0: $i] : (sdtasdt0(xc, v0) = all_190_2 & aElement0(v0)
% 31.97/5.02 | | | | | | = 0 & $i(v0))
% 31.97/5.02 | | | | | |
% 31.97/5.02 | | | | | | GROUND_INST: instantiating (38) with all_190_1, all_190_0,
% 31.97/5.02 | | | | | | simplifying with (72), (75) gives:
% 31.97/5.02 | | | | | | (80) all_190_0 = 0 | ! [v0: $i] : ( ~ (sdtasdt0(xc, v0) =
% 31.97/5.02 | | | | | | all_190_1) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 31.97/5.02 | | | | | | aElement0(v0) = v1))
% 32.07/5.02 | | | | | |
% 32.07/5.02 | | | | | | DELTA: instantiating (79) with fresh symbol all_198_0 gives:
% 32.07/5.02 | | | | | | (81) sdtasdt0(xc, all_198_0) = all_190_2 & aElement0(all_198_0) =
% 32.07/5.02 | | | | | | 0 & $i(all_198_0)
% 32.07/5.02 | | | | | |
% 32.07/5.02 | | | | | | ALPHA: (81) implies:
% 32.07/5.02 | | | | | | (82) $i(all_198_0)
% 32.07/5.02 | | | | | | (83) aElement0(all_198_0) = 0
% 32.07/5.02 | | | | | | (84) sdtasdt0(xc, all_198_0) = all_190_2
% 32.07/5.02 | | | | | |
% 32.07/5.02 | | | | | | DELTA: instantiating (77) with fresh symbols all_200_0, all_200_1,
% 32.07/5.02 | | | | | | all_200_2 gives:
% 32.07/5.02 | | | | | | (85) aElement0(all_190_1) = all_200_0 & aElement0(all_190_2) =
% 32.07/5.02 | | | | | | all_200_1 & aElement0(all_39_0) = all_200_2 & ( ~ (all_200_1
% 32.07/5.02 | | | | | | = 0) | ~ (all_200_2 = 0) | all_200_0 = 0)
% 32.07/5.02 | | | | | |
% 32.07/5.02 | | | | | | ALPHA: (85) implies:
% 32.07/5.02 | | | | | | (86) aElement0(all_39_0) = all_200_2
% 32.07/5.02 | | | | | | (87) aElement0(all_190_2) = all_200_1
% 32.07/5.02 | | | | | | (88) ~ (all_200_1 = 0) | ~ (all_200_2 = 0) | all_200_0 = 0
% 32.07/5.02 | | | | | |
% 32.07/5.02 | | | | | | DELTA: instantiating (76) with fresh symbols all_202_0, all_202_1,
% 32.07/5.02 | | | | | | all_202_2 gives:
% 32.07/5.02 | | | | | | (89) sdtpldt0(all_190_2, all_39_0) = all_202_0 &
% 32.07/5.02 | | | | | | aElement0(all_190_2) = all_202_1 & aElement0(all_39_0) =
% 32.07/5.02 | | | | | | all_202_2 & $i(all_202_0) & ( ~ (all_202_1 = 0) | ~
% 32.07/5.02 | | | | | | (all_202_2 = 0) | all_202_0 = all_190_1)
% 32.07/5.02 | | | | | |
% 32.07/5.02 | | | | | | ALPHA: (89) implies:
% 32.07/5.02 | | | | | | (90) aElement0(all_39_0) = all_202_2
% 32.07/5.02 | | | | | | (91) aElement0(all_190_2) = all_202_1
% 32.07/5.02 | | | | | | (92) sdtpldt0(all_190_2, all_39_0) = all_202_0
% 32.07/5.02 | | | | | | (93) ~ (all_202_1 = 0) | ~ (all_202_2 = 0) | all_202_0 =
% 32.07/5.02 | | | | | | all_190_1
% 32.07/5.02 | | | | | |
% 32.07/5.02 | | | | | | BETA: splitting (80) gives:
% 32.07/5.02 | | | | | |
% 32.07/5.02 | | | | | | Case 1:
% 32.07/5.02 | | | | | | |
% 32.07/5.02 | | | | | | | (94) all_190_0 = 0
% 32.07/5.02 | | | | | | |
% 32.07/5.02 | | | | | | | REDUCE: (70), (94) imply:
% 32.07/5.02 | | | | | | | (95) $false
% 32.07/5.02 | | | | | | |
% 32.07/5.02 | | | | | | | CLOSE: (95) is inconsistent.
% 32.07/5.02 | | | | | | |
% 32.07/5.02 | | | | | | Case 2:
% 32.07/5.02 | | | | | | |
% 32.07/5.02 | | | | | | | (96) ! [v0: $i] : ( ~ (sdtasdt0(xc, v0) = all_190_1) | ~
% 32.07/5.02 | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & aElement0(v0) =
% 32.07/5.02 | | | | | | | v1))
% 32.07/5.02 | | | | | | |
% 32.07/5.02 | | | | | | | GROUND_INST: instantiating (5) with 0, all_202_2, all_39_0,
% 32.07/5.02 | | | | | | | simplifying with (24), (90) gives:
% 32.07/5.02 | | | | | | | (97) all_202_2 = 0
% 32.07/5.02 | | | | | | |
% 32.07/5.02 | | | | | | | GROUND_INST: instantiating (5) with all_200_2, all_202_2,
% 32.07/5.02 | | | | | | | all_39_0, simplifying with (86), (90) gives:
% 32.07/5.02 | | | | | | | (98) all_202_2 = all_200_2
% 32.07/5.02 | | | | | | |
% 32.07/5.02 | | | | | | | GROUND_INST: instantiating (5) with all_200_1, all_202_1,
% 32.07/5.02 | | | | | | | all_190_2, simplifying with (87), (91) gives:
% 32.07/5.03 | | | | | | | (99) all_202_1 = all_200_1
% 32.07/5.03 | | | | | | |
% 32.07/5.03 | | | | | | | GROUND_INST: instantiating (5) with 0, all_202_1, all_190_2,
% 32.07/5.03 | | | | | | | simplifying with (78), (91) gives:
% 32.07/5.03 | | | | | | | (100) all_202_1 = 0
% 32.07/5.03 | | | | | | |
% 32.07/5.03 | | | | | | | COMBINE_EQS: (99), (100) imply:
% 32.07/5.03 | | | | | | | (101) all_200_1 = 0
% 32.07/5.03 | | | | | | |
% 32.07/5.03 | | | | | | | SIMP: (101) implies:
% 32.07/5.03 | | | | | | | (102) all_200_1 = 0
% 32.07/5.03 | | | | | | |
% 32.07/5.03 | | | | | | | COMBINE_EQS: (97), (98) imply:
% 32.07/5.03 | | | | | | | (103) all_200_2 = 0
% 32.07/5.03 | | | | | | |
% 32.07/5.03 | | | | | | | BETA: splitting (93) gives:
% 32.07/5.03 | | | | | | |
% 32.07/5.03 | | | | | | | Case 1:
% 32.07/5.03 | | | | | | | |
% 32.07/5.03 | | | | | | | | (104) ~ (all_202_1 = 0)
% 32.07/5.03 | | | | | | | |
% 32.07/5.03 | | | | | | | | REDUCE: (100), (104) imply:
% 32.07/5.03 | | | | | | | | (105) $false
% 32.07/5.03 | | | | | | | |
% 32.07/5.03 | | | | | | | | CLOSE: (105) is inconsistent.
% 32.07/5.03 | | | | | | | |
% 32.07/5.03 | | | | | | | Case 2:
% 32.07/5.03 | | | | | | | |
% 32.07/5.03 | | | | | | | | (106) ~ (all_202_2 = 0) | all_202_0 = all_190_1
% 32.07/5.03 | | | | | | | |
% 32.07/5.03 | | | | | | | | BETA: splitting (106) gives:
% 32.07/5.03 | | | | | | | |
% 32.07/5.03 | | | | | | | | Case 1:
% 32.07/5.03 | | | | | | | | |
% 32.07/5.03 | | | | | | | | | (107) ~ (all_202_2 = 0)
% 32.07/5.03 | | | | | | | | |
% 32.07/5.03 | | | | | | | | | REDUCE: (97), (107) imply:
% 32.07/5.03 | | | | | | | | | (108) $false
% 32.07/5.03 | | | | | | | | |
% 32.07/5.03 | | | | | | | | | CLOSE: (108) is inconsistent.
% 32.07/5.03 | | | | | | | | |
% 32.07/5.03 | | | | | | | | Case 2:
% 32.07/5.03 | | | | | | | | |
% 32.07/5.03 | | | | | | | | | (109) all_202_0 = all_190_1
% 32.07/5.03 | | | | | | | | |
% 32.07/5.03 | | | | | | | | | REDUCE: (92), (109) imply:
% 32.07/5.03 | | | | | | | | | (110) sdtpldt0(all_190_2, all_39_0) = all_190_1
% 32.07/5.03 | | | | | | | | |
% 32.07/5.03 | | | | | | | | | BETA: splitting (88) gives:
% 32.07/5.03 | | | | | | | | |
% 32.07/5.03 | | | | | | | | | Case 1:
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | (111) ~ (all_200_1 = 0)
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | REDUCE: (102), (111) imply:
% 32.07/5.03 | | | | | | | | | | (112) $false
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | CLOSE: (112) is inconsistent.
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | Case 2:
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | GROUND_INST: instantiating (mAMDistr) with xc, all_60_0,
% 32.07/5.03 | | | | | | | | | | all_198_0, all_39_0, all_190_2, all_190_1,
% 32.07/5.03 | | | | | | | | | | simplifying with (3), (26), (28), (73), (82), (84)
% 32.07/5.03 | | | | | | | | | | gives:
% 32.07/5.03 | | | | | | | | | | (113) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 32.07/5.03 | | | | | | | | | | [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 32.07/5.03 | | | | | | | | | | : ? [v7: $i] : ? [v8: $i] : (sdtasdt0(v3, xc) =
% 32.07/5.03 | | | | | | | | | | v5 & sdtasdt0(all_198_0, xc) = v7 &
% 32.07/5.03 | | | | | | | | | | sdtasdt0(all_60_0, xc) = v6 & sdtasdt0(xc, v3) =
% 32.07/5.03 | | | | | | | | | | v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_60_0,
% 32.07/5.03 | | | | | | | | | | all_198_0) = v3 & aElement0(all_198_0) = v2 &
% 32.07/5.03 | | | | | | | | | | aElement0(all_60_0) = v1 & aElement0(xc) = v0 &
% 32.07/5.03 | | | | | | | | | | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 32.07/5.03 | | | | | | | | | | $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)
% 32.07/5.03 | | | | | | | | | | | (v8 = v5 & v4 = all_190_1)))
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | GROUND_INST: instantiating (mAMDistr) with xc, all_198_0,
% 32.07/5.03 | | | | | | | | | | all_60_0, all_190_2, all_39_0, all_190_1,
% 32.07/5.03 | | | | | | | | | | simplifying with (3), (26), (28), (82), (84),
% 32.07/5.03 | | | | | | | | | | (110) gives:
% 32.07/5.03 | | | | | | | | | | (114) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 32.07/5.03 | | | | | | | | | | [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 32.07/5.03 | | | | | | | | | | : ? [v7: $i] : ? [v8: $i] : (sdtasdt0(v3, xc) =
% 32.07/5.03 | | | | | | | | | | v5 & sdtasdt0(all_198_0, xc) = v6 &
% 32.07/5.03 | | | | | | | | | | sdtasdt0(all_60_0, xc) = v7 & sdtasdt0(xc, v3) =
% 32.07/5.03 | | | | | | | | | | v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_198_0,
% 32.07/5.03 | | | | | | | | | | all_60_0) = v3 & aElement0(all_198_0) = v1 &
% 32.07/5.03 | | | | | | | | | | aElement0(all_60_0) = v2 & aElement0(xc) = v0 &
% 32.07/5.03 | | | | | | | | | | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 32.07/5.03 | | | | | | | | | | $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)
% 32.07/5.03 | | | | | | | | | | | (v8 = v5 & v4 = all_190_1)))
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xc, all_198_0,
% 32.07/5.03 | | | | | | | | | | all_190_2, simplifying with (3), (82), (84) gives:
% 32.07/5.03 | | | | | | | | | | (115) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 32.07/5.03 | | | | | | | | | | (sdtasdt0(all_198_0, xc) = v2 &
% 32.07/5.03 | | | | | | | | | | aElement0(all_198_0) = v1 & aElement0(xc) = v0 &
% 32.07/5.03 | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 32.07/5.03 | | | | | | | | | | all_190_2))
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | DELTA: instantiating (115) with fresh symbols all_308_0,
% 32.07/5.03 | | | | | | | | | | all_308_1, all_308_2 gives:
% 32.07/5.03 | | | | | | | | | | (116) sdtasdt0(all_198_0, xc) = all_308_0 &
% 32.07/5.03 | | | | | | | | | | aElement0(all_198_0) = all_308_1 & aElement0(xc) =
% 32.07/5.03 | | | | | | | | | | all_308_2 & $i(all_308_0) & ( ~ (all_308_1 = 0) |
% 32.07/5.03 | | | | | | | | | | ~ (all_308_2 = 0) | all_308_0 = all_190_2)
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | ALPHA: (116) implies:
% 32.07/5.03 | | | | | | | | | | (117) aElement0(xc) = all_308_2
% 32.07/5.03 | | | | | | | | | | (118) aElement0(all_198_0) = all_308_1
% 32.07/5.03 | | | | | | | | | | (119) sdtasdt0(all_198_0, xc) = all_308_0
% 32.07/5.03 | | | | | | | | | | (120) ~ (all_308_1 = 0) | ~ (all_308_2 = 0) | all_308_0
% 32.07/5.03 | | | | | | | | | | = all_190_2
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | DELTA: instantiating (114) with fresh symbols all_310_0,
% 32.07/5.03 | | | | | | | | | | all_310_1, all_310_2, all_310_3, all_310_4,
% 32.07/5.03 | | | | | | | | | | all_310_5, all_310_6, all_310_7, all_310_8 gives:
% 32.07/5.03 | | | | | | | | | | (121) sdtasdt0(all_310_5, xc) = all_310_3 &
% 32.07/5.03 | | | | | | | | | | sdtasdt0(all_198_0, xc) = all_310_2 &
% 32.07/5.03 | | | | | | | | | | sdtasdt0(all_60_0, xc) = all_310_1 & sdtasdt0(xc,
% 32.07/5.03 | | | | | | | | | | all_310_5) = all_310_4 & sdtpldt0(all_310_2,
% 32.07/5.03 | | | | | | | | | | all_310_1) = all_310_0 & sdtpldt0(all_198_0,
% 32.07/5.03 | | | | | | | | | | all_60_0) = all_310_5 & aElement0(all_198_0) =
% 32.07/5.03 | | | | | | | | | | all_310_7 & aElement0(all_60_0) = all_310_6 &
% 32.07/5.03 | | | | | | | | | | aElement0(xc) = all_310_8 & $i(all_310_0) &
% 32.07/5.03 | | | | | | | | | | $i(all_310_1) & $i(all_310_2) & $i(all_310_3) &
% 32.07/5.03 | | | | | | | | | | $i(all_310_4) & $i(all_310_5) & ( ~ (all_310_6 = 0)
% 32.07/5.03 | | | | | | | | | | | ~ (all_310_7 = 0) | ~ (all_310_8 = 0) |
% 32.07/5.03 | | | | | | | | | | (all_310_0 = all_310_3 & all_310_4 = all_190_1))
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | ALPHA: (121) implies:
% 32.07/5.03 | | | | | | | | | | (122) $i(all_310_5)
% 32.07/5.03 | | | | | | | | | | (123) aElement0(xc) = all_310_8
% 32.07/5.03 | | | | | | | | | | (124) aElement0(all_60_0) = all_310_6
% 32.07/5.03 | | | | | | | | | | (125) aElement0(all_198_0) = all_310_7
% 32.07/5.03 | | | | | | | | | | (126) sdtpldt0(all_198_0, all_60_0) = all_310_5
% 32.07/5.03 | | | | | | | | | | (127) sdtpldt0(all_310_2, all_310_1) = all_310_0
% 32.07/5.03 | | | | | | | | | | (128) sdtasdt0(xc, all_310_5) = all_310_4
% 32.07/5.03 | | | | | | | | | | (129) sdtasdt0(all_60_0, xc) = all_310_1
% 32.07/5.03 | | | | | | | | | | (130) sdtasdt0(all_198_0, xc) = all_310_2
% 32.07/5.03 | | | | | | | | | | (131) sdtasdt0(all_310_5, xc) = all_310_3
% 32.07/5.03 | | | | | | | | | | (132) ~ (all_310_6 = 0) | ~ (all_310_7 = 0) | ~
% 32.07/5.03 | | | | | | | | | | (all_310_8 = 0) | (all_310_0 = all_310_3 &
% 32.07/5.03 | | | | | | | | | | all_310_4 = all_190_1)
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | DELTA: instantiating (113) with fresh symbols all_312_0,
% 32.07/5.03 | | | | | | | | | | all_312_1, all_312_2, all_312_3, all_312_4,
% 32.07/5.03 | | | | | | | | | | all_312_5, all_312_6, all_312_7, all_312_8 gives:
% 32.07/5.03 | | | | | | | | | | (133) sdtasdt0(all_312_5, xc) = all_312_3 &
% 32.07/5.03 | | | | | | | | | | sdtasdt0(all_198_0, xc) = all_312_1 &
% 32.07/5.03 | | | | | | | | | | sdtasdt0(all_60_0, xc) = all_312_2 & sdtasdt0(xc,
% 32.07/5.03 | | | | | | | | | | all_312_5) = all_312_4 & sdtpldt0(all_312_2,
% 32.07/5.03 | | | | | | | | | | all_312_1) = all_312_0 & sdtpldt0(all_60_0,
% 32.07/5.03 | | | | | | | | | | all_198_0) = all_312_5 & aElement0(all_198_0) =
% 32.07/5.03 | | | | | | | | | | all_312_6 & aElement0(all_60_0) = all_312_7 &
% 32.07/5.03 | | | | | | | | | | aElement0(xc) = all_312_8 & $i(all_312_0) &
% 32.07/5.03 | | | | | | | | | | $i(all_312_1) & $i(all_312_2) & $i(all_312_3) &
% 32.07/5.03 | | | | | | | | | | $i(all_312_4) & $i(all_312_5) & ( ~ (all_312_6 = 0)
% 32.07/5.03 | | | | | | | | | | | ~ (all_312_7 = 0) | ~ (all_312_8 = 0) |
% 32.07/5.03 | | | | | | | | | | (all_312_0 = all_312_3 & all_312_4 = all_190_1))
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | ALPHA: (133) implies:
% 32.07/5.03 | | | | | | | | | | (134) aElement0(xc) = all_312_8
% 32.07/5.03 | | | | | | | | | | (135) aElement0(all_60_0) = all_312_7
% 32.07/5.03 | | | | | | | | | | (136) aElement0(all_198_0) = all_312_6
% 32.07/5.03 | | | | | | | | | | (137) sdtpldt0(all_60_0, all_198_0) = all_312_5
% 32.07/5.03 | | | | | | | | | | (138) sdtasdt0(all_60_0, xc) = all_312_2
% 32.07/5.03 | | | | | | | | | | (139) sdtasdt0(all_198_0, xc) = all_312_1
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_310_8, xc,
% 32.07/5.03 | | | | | | | | | | simplifying with (2), (123) gives:
% 32.07/5.03 | | | | | | | | | | (140) all_310_8 = 0
% 32.07/5.03 | | | | | | | | | |
% 32.07/5.03 | | | | | | | | | | GROUND_INST: instantiating (5) with all_310_8, all_312_8, xc,
% 32.07/5.03 | | | | | | | | | | simplifying with (123), (134) gives:
% 32.07/5.04 | | | | | | | | | | (141) all_312_8 = all_310_8
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (5) with all_308_2, all_312_8, xc,
% 32.07/5.04 | | | | | | | | | | simplifying with (117), (134) gives:
% 32.07/5.04 | | | | | | | | | | (142) all_312_8 = all_308_2
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_312_7, all_60_0,
% 32.07/5.04 | | | | | | | | | | simplifying with (27), (135) gives:
% 32.07/5.04 | | | | | | | | | | (143) all_312_7 = 0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (5) with all_310_6, all_312_7,
% 32.07/5.04 | | | | | | | | | | all_60_0, simplifying with (124), (135) gives:
% 32.07/5.04 | | | | | | | | | | (144) all_312_7 = all_310_6
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_312_6, all_198_0,
% 32.07/5.04 | | | | | | | | | | simplifying with (83), (136) gives:
% 32.07/5.04 | | | | | | | | | | (145) all_312_6 = 0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (5) with all_310_7, all_312_6,
% 32.07/5.04 | | | | | | | | | | all_198_0, simplifying with (125), (136) gives:
% 32.07/5.04 | | | | | | | | | | (146) all_312_6 = all_310_7
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (5) with all_308_1, all_312_6,
% 32.07/5.04 | | | | | | | | | | all_198_0, simplifying with (118), (136) gives:
% 32.07/5.04 | | | | | | | | | | (147) all_312_6 = all_308_1
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (7) with all_39_0, all_312_2, xc,
% 32.07/5.04 | | | | | | | | | | all_60_0, simplifying with (63), (138) gives:
% 32.07/5.04 | | | | | | | | | | (148) all_312_2 = all_39_0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (7) with all_310_1, all_312_2, xc,
% 32.07/5.04 | | | | | | | | | | all_60_0, simplifying with (129), (138) gives:
% 32.07/5.04 | | | | | | | | | | (149) all_312_2 = all_310_1
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (7) with all_310_2, all_312_1, xc,
% 32.07/5.04 | | | | | | | | | | all_198_0, simplifying with (130), (139) gives:
% 32.07/5.04 | | | | | | | | | | (150) all_312_1 = all_310_2
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | GROUND_INST: instantiating (7) with all_308_0, all_312_1, xc,
% 32.07/5.04 | | | | | | | | | | all_198_0, simplifying with (119), (139) gives:
% 32.07/5.04 | | | | | | | | | | (151) all_312_1 = all_308_0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | COMBINE_EQS: (150), (151) imply:
% 32.07/5.04 | | | | | | | | | | (152) all_310_2 = all_308_0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | SIMP: (152) implies:
% 32.07/5.04 | | | | | | | | | | (153) all_310_2 = all_308_0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | COMBINE_EQS: (148), (149) imply:
% 32.07/5.04 | | | | | | | | | | (154) all_310_1 = all_39_0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | COMBINE_EQS: (146), (147) imply:
% 32.07/5.04 | | | | | | | | | | (155) all_310_7 = all_308_1
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | COMBINE_EQS: (145), (146) imply:
% 32.07/5.04 | | | | | | | | | | (156) all_310_7 = 0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | COMBINE_EQS: (143), (144) imply:
% 32.07/5.04 | | | | | | | | | | (157) all_310_6 = 0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | COMBINE_EQS: (141), (142) imply:
% 32.07/5.04 | | | | | | | | | | (158) all_310_8 = all_308_2
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | SIMP: (158) implies:
% 32.07/5.04 | | | | | | | | | | (159) all_310_8 = all_308_2
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | COMBINE_EQS: (155), (156) imply:
% 32.07/5.04 | | | | | | | | | | (160) all_308_1 = 0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | COMBINE_EQS: (140), (159) imply:
% 32.07/5.04 | | | | | | | | | | (161) all_308_2 = 0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | SIMP: (161) implies:
% 32.07/5.04 | | | | | | | | | | (162) all_308_2 = 0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | REDUCE: (127), (153), (154) imply:
% 32.07/5.04 | | | | | | | | | | (163) sdtpldt0(all_308_0, all_39_0) = all_310_0
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | BETA: splitting (132) gives:
% 32.07/5.04 | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | Case 1:
% 32.07/5.04 | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | (164) ~ (all_310_6 = 0)
% 32.07/5.04 | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | REDUCE: (157), (164) imply:
% 32.07/5.04 | | | | | | | | | | | (165) $false
% 32.07/5.04 | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | CLOSE: (165) is inconsistent.
% 32.07/5.04 | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | Case 2:
% 32.07/5.04 | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | (166) ~ (all_310_7 = 0) | ~ (all_310_8 = 0) |
% 32.07/5.04 | | | | | | | | | | | (all_310_0 = all_310_3 & all_310_4 = all_190_1)
% 32.07/5.04 | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | BETA: splitting (120) gives:
% 32.07/5.04 | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | Case 1:
% 32.07/5.04 | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | (167) ~ (all_308_1 = 0)
% 32.07/5.04 | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | REDUCE: (160), (167) imply:
% 32.07/5.04 | | | | | | | | | | | | (168) $false
% 32.07/5.04 | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | CLOSE: (168) is inconsistent.
% 32.07/5.04 | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | Case 2:
% 32.07/5.04 | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | (169) ~ (all_308_2 = 0) | all_308_0 = all_190_2
% 32.07/5.04 | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | BETA: splitting (166) gives:
% 32.07/5.04 | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | Case 1:
% 32.07/5.04 | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | (170) ~ (all_310_7 = 0)
% 32.07/5.04 | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | REDUCE: (156), (170) imply:
% 32.07/5.04 | | | | | | | | | | | | | (171) $false
% 32.07/5.04 | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 32.07/5.04 | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | Case 2:
% 32.07/5.04 | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | (172) ~ (all_310_8 = 0) | (all_310_0 = all_310_3 &
% 32.07/5.04 | | | | | | | | | | | | | all_310_4 = all_190_1)
% 32.07/5.04 | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | BETA: splitting (172) gives:
% 32.07/5.04 | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | Case 1:
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | (173) ~ (all_310_8 = 0)
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | REDUCE: (140), (173) imply:
% 32.07/5.04 | | | | | | | | | | | | | | (174) $false
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | CLOSE: (174) is inconsistent.
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | Case 2:
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | (175) all_310_0 = all_310_3 & all_310_4 = all_190_1
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | ALPHA: (175) implies:
% 32.07/5.04 | | | | | | | | | | | | | | (176) all_310_4 = all_190_1
% 32.07/5.04 | | | | | | | | | | | | | | (177) all_310_0 = all_310_3
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | REDUCE: (128), (176) imply:
% 32.07/5.04 | | | | | | | | | | | | | | (178) sdtasdt0(xc, all_310_5) = all_190_1
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | REDUCE: (163), (177) imply:
% 32.07/5.04 | | | | | | | | | | | | | | (179) sdtpldt0(all_308_0, all_39_0) = all_310_3
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 32.07/5.04 | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | Case 1:
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | (180) ~ (all_308_2 = 0)
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | REDUCE: (162), (180) imply:
% 32.07/5.04 | | | | | | | | | | | | | | | (181) $false
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | Case 2:
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | (182) all_308_0 = all_190_2
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | REDUCE: (179), (182) imply:
% 32.07/5.04 | | | | | | | | | | | | | | | (183) sdtpldt0(all_190_2, all_39_0) = all_310_3
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_190_1, all_310_3,
% 32.07/5.04 | | | | | | | | | | | | | | | all_39_0, all_190_2, simplifying with (110), (183)
% 32.07/5.04 | | | | | | | | | | | | | | | gives:
% 32.07/5.04 | | | | | | | | | | | | | | | (184) all_310_3 = all_190_1
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | REDUCE: (131), (184) imply:
% 32.07/5.04 | | | | | | | | | | | | | | | (185) sdtasdt0(all_310_5, xc) = all_190_1
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with all_60_0, all_198_0,
% 32.07/5.04 | | | | | | | | | | | | | | | all_312_5, simplifying with (26), (82), (137)
% 32.07/5.04 | | | | | | | | | | | | | | | gives:
% 32.07/5.04 | | | | | | | | | | | | | | | (186) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 32.07/5.04 | | | | | | | | | | | | | | | (sdtpldt0(all_198_0, all_60_0) = v2 &
% 32.07/5.04 | | | | | | | | | | | | | | | aElement0(all_198_0) = v1 & aElement0(all_60_0)
% 32.07/5.04 | | | | | | | | | | | | | | | = v0 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2
% 32.07/5.04 | | | | | | | | | | | | | | | = all_312_5))
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with all_60_0, all_198_0,
% 32.07/5.04 | | | | | | | | | | | | | | | all_312_5, simplifying with (26), (82), (137)
% 32.07/5.04 | | | | | | | | | | | | | | | gives:
% 32.07/5.04 | | | | | | | | | | | | | | | (187) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 32.07/5.04 | | | | | | | | | | | | | | | (aElement0(all_312_5) = v2 & aElement0(all_198_0)
% 32.07/5.04 | | | | | | | | | | | | | | | = v1 & aElement0(all_60_0) = v0 & ( ~ (v1 = 0) |
% 32.07/5.04 | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0))
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with all_198_0, all_60_0,
% 32.07/5.04 | | | | | | | | | | | | | | | all_310_5, simplifying with (26), (82), (126)
% 32.07/5.04 | | | | | | | | | | | | | | | gives:
% 32.07/5.04 | | | | | | | | | | | | | | | (188) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 32.07/5.04 | | | | | | | | | | | | | | | (sdtpldt0(all_60_0, all_198_0) = v2 &
% 32.07/5.04 | | | | | | | | | | | | | | | aElement0(all_198_0) = v0 & aElement0(all_60_0)
% 32.07/5.04 | | | | | | | | | | | | | | | = v1 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2
% 32.07/5.04 | | | | | | | | | | | | | | | = all_310_5))
% 32.07/5.04 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with all_198_0, all_60_0,
% 32.07/5.05 | | | | | | | | | | | | | | | all_310_5, simplifying with (26), (82), (126)
% 32.07/5.05 | | | | | | | | | | | | | | | gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (189) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 32.07/5.05 | | | | | | | | | | | | | | | (aElement0(all_310_5) = v2 & aElement0(all_198_0)
% 32.07/5.05 | | | | | | | | | | | | | | | = v0 & aElement0(all_60_0) = v1 & ( ~ (v1 = 0) |
% 32.07/5.05 | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0))
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (96) with all_310_5, simplifying
% 32.07/5.05 | | | | | | | | | | | | | | | with (122), (178) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (190) ? [v0: int] : ( ~ (v0 = 0) & aElement0(all_310_5)
% 32.07/5.05 | | | | | | | | | | | | | | | = v0)
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xc, all_310_5,
% 32.07/5.05 | | | | | | | | | | | | | | | all_190_1, simplifying with (3), (122), (178)
% 32.07/5.05 | | | | | | | | | | | | | | | gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (191) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 32.07/5.05 | | | | | | | | | | | | | | | (sdtasdt0(all_310_5, xc) = v2 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_310_5) = v1 & aElement0(xc) = v0 &
% 32.07/5.05 | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 32.07/5.05 | | | | | | | | | | | | | | | all_190_1))
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_310_5, xc,
% 32.07/5.05 | | | | | | | | | | | | | | | all_190_1, simplifying with (3), (122), (185)
% 32.07/5.05 | | | | | | | | | | | | | | | gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (192) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 32.07/5.05 | | | | | | | | | | | | | | | (aElement0(all_310_5) = v0 & aElement0(all_190_1)
% 32.07/5.05 | | | | | | | | | | | | | | | = v2 & aElement0(xc) = v1 & ( ~ (v1 = 0) | ~
% 32.07/5.05 | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | DELTA: instantiating (190) with fresh symbol all_460_0
% 32.07/5.05 | | | | | | | | | | | | | | | gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (193) ~ (all_460_0 = 0) & aElement0(all_310_5) =
% 32.07/5.05 | | | | | | | | | | | | | | | all_460_0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (194) ~ (all_460_0 = 0)
% 32.07/5.05 | | | | | | | | | | | | | | | (195) aElement0(all_310_5) = all_460_0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | DELTA: instantiating (189) with fresh symbols all_466_0,
% 32.07/5.05 | | | | | | | | | | | | | | | all_466_1, all_466_2 gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (196) aElement0(all_310_5) = all_466_0 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_198_0) = all_466_2 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_60_0) = all_466_1 & ( ~ (all_466_1 =
% 32.07/5.05 | | | | | | | | | | | | | | | 0) | ~ (all_466_2 = 0) | all_466_0 = 0)
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (197) aElement0(all_60_0) = all_466_1
% 32.07/5.05 | | | | | | | | | | | | | | | (198) aElement0(all_198_0) = all_466_2
% 32.07/5.05 | | | | | | | | | | | | | | | (199) aElement0(all_310_5) = all_466_0
% 32.07/5.05 | | | | | | | | | | | | | | | (200) ~ (all_466_1 = 0) | ~ (all_466_2 = 0) |
% 32.07/5.05 | | | | | | | | | | | | | | | all_466_0 = 0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | DELTA: instantiating (192) with fresh symbols all_470_0,
% 32.07/5.05 | | | | | | | | | | | | | | | all_470_1, all_470_2 gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (201) aElement0(all_310_5) = all_470_2 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_190_1) = all_470_0 & aElement0(xc) =
% 32.07/5.05 | | | | | | | | | | | | | | | all_470_1 & ( ~ (all_470_1 = 0) | ~ (all_470_2 =
% 32.07/5.05 | | | | | | | | | | | | | | | 0) | all_470_0 = 0)
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (202) aElement0(all_310_5) = all_470_2
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | DELTA: instantiating (187) with fresh symbols all_472_0,
% 32.07/5.05 | | | | | | | | | | | | | | | all_472_1, all_472_2 gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (203) aElement0(all_312_5) = all_472_0 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_198_0) = all_472_1 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_60_0) = all_472_2 & ( ~ (all_472_1 =
% 32.07/5.05 | | | | | | | | | | | | | | | 0) | ~ (all_472_2 = 0) | all_472_0 = 0)
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (204) aElement0(all_60_0) = all_472_2
% 32.07/5.05 | | | | | | | | | | | | | | | (205) aElement0(all_198_0) = all_472_1
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | DELTA: instantiating (191) with fresh symbols all_478_0,
% 32.07/5.05 | | | | | | | | | | | | | | | all_478_1, all_478_2 gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (206) sdtasdt0(all_310_5, xc) = all_478_0 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_310_5) = all_478_1 & aElement0(xc) =
% 32.07/5.05 | | | | | | | | | | | | | | | all_478_2 & $i(all_478_0) & ( ~ (all_478_1 = 0) |
% 32.07/5.05 | | | | | | | | | | | | | | | ~ (all_478_2 = 0) | all_478_0 = all_190_1)
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (207) aElement0(all_310_5) = all_478_1
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | DELTA: instantiating (186) with fresh symbols all_482_0,
% 32.07/5.05 | | | | | | | | | | | | | | | all_482_1, all_482_2 gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (208) sdtpldt0(all_198_0, all_60_0) = all_482_0 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_198_0) = all_482_1 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_60_0) = all_482_2 & $i(all_482_0) &
% 32.07/5.05 | | | | | | | | | | | | | | | ( ~ (all_482_1 = 0) | ~ (all_482_2 = 0) |
% 32.07/5.05 | | | | | | | | | | | | | | | all_482_0 = all_312_5)
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (209) aElement0(all_60_0) = all_482_2
% 32.07/5.05 | | | | | | | | | | | | | | | (210) aElement0(all_198_0) = all_482_1
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | DELTA: instantiating (188) with fresh symbols all_486_0,
% 32.07/5.05 | | | | | | | | | | | | | | | all_486_1, all_486_2 gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (211) sdtpldt0(all_60_0, all_198_0) = all_486_0 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_198_0) = all_486_2 &
% 32.07/5.05 | | | | | | | | | | | | | | | aElement0(all_60_0) = all_486_1 & $i(all_486_0) &
% 32.07/5.05 | | | | | | | | | | | | | | | ( ~ (all_486_1 = 0) | ~ (all_486_2 = 0) |
% 32.07/5.05 | | | | | | | | | | | | | | | all_486_0 = all_310_5)
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (212) aElement0(all_60_0) = all_486_1
% 32.07/5.05 | | | | | | | | | | | | | | | (213) aElement0(all_198_0) = all_486_2
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_482_2, all_60_0,
% 32.07/5.05 | | | | | | | | | | | | | | | simplifying with (27), (209) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (214) all_482_2 = 0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_466_1, all_482_2,
% 32.07/5.05 | | | | | | | | | | | | | | | all_60_0, simplifying with (197), (209) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (215) all_482_2 = all_466_1
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_482_2, all_486_1,
% 32.07/5.05 | | | | | | | | | | | | | | | all_60_0, simplifying with (209), (212) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (216) all_486_1 = all_482_2
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_472_2, all_486_1,
% 32.07/5.05 | | | | | | | | | | | | | | | all_60_0, simplifying with (204), (212) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (217) all_486_1 = all_472_2
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_482_1, all_198_0,
% 32.07/5.05 | | | | | | | | | | | | | | | simplifying with (83), (210) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (218) all_482_1 = 0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_466_2, all_482_1,
% 32.07/5.05 | | | | | | | | | | | | | | | all_198_0, simplifying with (198), (210) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (219) all_482_1 = all_466_2
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_482_1, all_486_2,
% 32.07/5.05 | | | | | | | | | | | | | | | all_198_0, simplifying with (210), (213) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (220) all_486_2 = all_482_1
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_472_1, all_486_2,
% 32.07/5.05 | | | | | | | | | | | | | | | all_198_0, simplifying with (205), (213) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (221) all_486_2 = all_472_1
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_460_0, all_470_2,
% 32.07/5.05 | | | | | | | | | | | | | | | all_310_5, simplifying with (195), (202) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (222) all_470_2 = all_460_0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_470_2, all_478_1,
% 32.07/5.05 | | | | | | | | | | | | | | | all_310_5, simplifying with (202), (207) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (223) all_478_1 = all_470_2
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_466_0, all_478_1,
% 32.07/5.05 | | | | | | | | | | | | | | | all_310_5, simplifying with (199), (207) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | (224) all_478_1 = all_466_0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (216), (217) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (225) all_482_2 = all_472_2
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | SIMP: (225) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (226) all_482_2 = all_472_2
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (220), (221) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (227) all_482_1 = all_472_1
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | SIMP: (227) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (228) all_482_1 = all_472_1
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (219), (228) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (229) all_472_1 = all_466_2
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (218), (228) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (230) all_472_1 = 0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (214), (226) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (231) all_472_2 = 0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (215), (226) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (232) all_472_2 = all_466_1
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (223), (224) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (233) all_470_2 = all_466_0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | SIMP: (233) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (234) all_470_2 = all_466_0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (229), (230) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (235) all_466_2 = 0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | SIMP: (235) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (236) all_466_2 = 0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (231), (232) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (237) all_466_1 = 0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | SIMP: (237) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | (238) all_466_1 = 0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | COMBINE_EQS: (222), (234) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | (239) all_466_0 = all_460_0
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 32.07/5.05 | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | Case 1:
% 32.07/5.05 | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | (240) ~ (all_466_1 = 0)
% 32.07/5.05 | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | REDUCE: (238), (240) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | | (241) $false
% 32.07/5.05 | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent.
% 32.07/5.05 | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | Case 2:
% 32.07/5.05 | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | (242) ~ (all_466_2 = 0) | all_466_0 = 0
% 32.07/5.05 | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 32.07/5.05 | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | Case 1:
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | | (243) ~ (all_466_2 = 0)
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | | REDUCE: (236), (243) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | | | (244) $false
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | | CLOSE: (244) is inconsistent.
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | Case 2:
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | | (245) all_466_0 = 0
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (245) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | | | (246) all_460_0 = 0
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | | SIMP: (246) implies:
% 32.07/5.05 | | | | | | | | | | | | | | | | | (247) all_460_0 = 0
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | | REDUCE: (194), (247) imply:
% 32.07/5.05 | | | | | | | | | | | | | | | | | (248) $false
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.05 | | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 32.07/5.05 | | | | | | | | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | | | | | | | End of split
% 32.07/5.06 | | | | | | | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | | | | | | End of split
% 32.07/5.06 | | | | | | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | | | | | End of split
% 32.07/5.06 | | | | | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | | | | End of split
% 32.07/5.06 | | | | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | | | End of split
% 32.07/5.06 | | | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | | End of split
% 32.07/5.06 | | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | End of split
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | End of split
% 32.07/5.06 | | | | | | | | |
% 32.07/5.06 | | | | | | | | End of split
% 32.07/5.06 | | | | | | | |
% 32.07/5.06 | | | | | | | End of split
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | End of split
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | Case 2:
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | (249) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 32.07/5.06 | | | | | | aElementOf0(v1, all_36_1) = v2 & sdtasdt0(v0, all_39_0) =
% 32.07/5.06 | | | | | | v1 & aElement0(v0) = 0 & $i(v1) & $i(v0))
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | DELTA: instantiating (249) with fresh symbols all_190_0, all_190_1,
% 32.07/5.06 | | | | | | all_190_2 gives:
% 32.07/5.06 | | | | | | (250) ~ (all_190_0 = 0) & aElementOf0(all_190_1, all_36_1) =
% 32.07/5.06 | | | | | | all_190_0 & sdtasdt0(all_190_2, all_39_0) = all_190_1 &
% 32.07/5.06 | | | | | | aElement0(all_190_2) = 0 & $i(all_190_1) & $i(all_190_2)
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | ALPHA: (250) implies:
% 32.07/5.06 | | | | | | (251) ~ (all_190_0 = 0)
% 32.07/5.06 | | | | | | (252) $i(all_190_2)
% 32.07/5.06 | | | | | | (253) $i(all_190_1)
% 32.07/5.06 | | | | | | (254) aElement0(all_190_2) = 0
% 32.07/5.06 | | | | | | (255) sdtasdt0(all_190_2, all_39_0) = all_190_1
% 32.07/5.06 | | | | | | (256) aElementOf0(all_190_1, all_36_1) = all_190_0
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | GROUND_INST: instantiating (mMulComm) with all_190_2, all_39_0,
% 32.07/5.06 | | | | | | all_190_1, simplifying with (17), (252), (255) gives:
% 32.07/5.06 | | | | | | (257) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 32.07/5.06 | | | | | | (sdtasdt0(all_39_0, all_190_2) = v2 & aElement0(all_190_2)
% 32.07/5.06 | | | | | | = v0 & aElement0(all_39_0) = v1 & $i(v2) & ( ~ (v1 = 0) |
% 32.07/5.06 | | | | | | ~ (v0 = 0) | v2 = all_190_1))
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_190_2, all_39_0,
% 32.07/5.06 | | | | | | all_190_1, simplifying with (17), (252), (255) gives:
% 32.07/5.06 | | | | | | (258) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 32.07/5.06 | | | | | | (aElement0(all_190_1) = v2 & aElement0(all_190_2) = v0 &
% 32.07/5.06 | | | | | | aElement0(all_39_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) |
% 32.07/5.06 | | | | | | v2 = 0))
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | GROUND_INST: instantiating (38) with all_190_1, all_190_0,
% 32.07/5.06 | | | | | | simplifying with (253), (256) gives:
% 32.07/5.06 | | | | | | (259) all_190_0 = 0 | ! [v0: $i] : ( ~ (sdtasdt0(xc, v0) =
% 32.07/5.06 | | | | | | all_190_1) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 32.07/5.06 | | | | | | aElement0(v0) = v1))
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | DELTA: instantiating (258) with fresh symbols all_215_0, all_215_1,
% 32.07/5.06 | | | | | | all_215_2 gives:
% 32.07/5.06 | | | | | | (260) aElement0(all_190_1) = all_215_0 & aElement0(all_190_2) =
% 32.07/5.06 | | | | | | all_215_2 & aElement0(all_39_0) = all_215_1 & ( ~
% 32.07/5.06 | | | | | | (all_215_1 = 0) | ~ (all_215_2 = 0) | all_215_0 = 0)
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | ALPHA: (260) implies:
% 32.07/5.06 | | | | | | (261) aElement0(all_39_0) = all_215_1
% 32.07/5.06 | | | | | | (262) aElement0(all_190_2) = all_215_2
% 32.07/5.06 | | | | | | (263) ~ (all_215_1 = 0) | ~ (all_215_2 = 0) | all_215_0 = 0
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | DELTA: instantiating (257) with fresh symbols all_217_0, all_217_1,
% 32.07/5.06 | | | | | | all_217_2 gives:
% 32.07/5.06 | | | | | | (264) sdtasdt0(all_39_0, all_190_2) = all_217_0 &
% 32.07/5.06 | | | | | | aElement0(all_190_2) = all_217_2 & aElement0(all_39_0) =
% 32.07/5.06 | | | | | | all_217_1 & $i(all_217_0) & ( ~ (all_217_1 = 0) | ~
% 32.07/5.06 | | | | | | (all_217_2 = 0) | all_217_0 = all_190_1)
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | ALPHA: (264) implies:
% 32.07/5.06 | | | | | | (265) aElement0(all_39_0) = all_217_1
% 32.07/5.06 | | | | | | (266) aElement0(all_190_2) = all_217_2
% 32.07/5.06 | | | | | | (267) sdtasdt0(all_39_0, all_190_2) = all_217_0
% 32.07/5.06 | | | | | | (268) ~ (all_217_1 = 0) | ~ (all_217_2 = 0) | all_217_0 =
% 32.07/5.06 | | | | | | all_190_1
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | BETA: splitting (259) gives:
% 32.07/5.06 | | | | | |
% 32.07/5.06 | | | | | | Case 1:
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | (269) all_190_0 = 0
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | REDUCE: (251), (269) imply:
% 32.07/5.06 | | | | | | | (270) $false
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | CLOSE: (270) is inconsistent.
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | Case 2:
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | (271) ! [v0: $i] : ( ~ (sdtasdt0(xc, v0) = all_190_1) | ~
% 32.07/5.06 | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & aElement0(v0) =
% 32.07/5.06 | | | | | | | v1))
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | GROUND_INST: instantiating (5) with 0, all_217_1, all_39_0,
% 32.07/5.06 | | | | | | | simplifying with (24), (265) gives:
% 32.07/5.06 | | | | | | | (272) all_217_1 = 0
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | GROUND_INST: instantiating (5) with all_215_1, all_217_1,
% 32.07/5.06 | | | | | | | all_39_0, simplifying with (261), (265) gives:
% 32.07/5.06 | | | | | | | (273) all_217_1 = all_215_1
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | GROUND_INST: instantiating (5) with 0, all_217_2, all_190_2,
% 32.07/5.06 | | | | | | | simplifying with (254), (266) gives:
% 32.07/5.06 | | | | | | | (274) all_217_2 = 0
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | GROUND_INST: instantiating (5) with all_215_2, all_217_2,
% 32.07/5.06 | | | | | | | all_190_2, simplifying with (262), (266) gives:
% 32.07/5.06 | | | | | | | (275) all_217_2 = all_215_2
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | COMBINE_EQS: (272), (273) imply:
% 32.07/5.06 | | | | | | | (276) all_215_1 = 0
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | SIMP: (276) implies:
% 32.07/5.06 | | | | | | | (277) all_215_1 = 0
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | COMBINE_EQS: (274), (275) imply:
% 32.07/5.06 | | | | | | | (278) all_215_2 = 0
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | SIMP: (278) implies:
% 32.07/5.06 | | | | | | | (279) all_215_2 = 0
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | BETA: splitting (268) gives:
% 32.07/5.06 | | | | | | |
% 32.07/5.06 | | | | | | | Case 1:
% 32.07/5.06 | | | | | | | |
% 32.07/5.06 | | | | | | | | (280) ~ (all_217_1 = 0)
% 32.07/5.06 | | | | | | | |
% 32.07/5.06 | | | | | | | | REDUCE: (272), (280) imply:
% 32.07/5.06 | | | | | | | | (281) $false
% 32.07/5.06 | | | | | | | |
% 32.07/5.06 | | | | | | | | CLOSE: (281) is inconsistent.
% 32.07/5.06 | | | | | | | |
% 32.07/5.06 | | | | | | | Case 2:
% 32.07/5.06 | | | | | | | |
% 32.07/5.06 | | | | | | | | (282) ~ (all_217_2 = 0) | all_217_0 = all_190_1
% 32.07/5.06 | | | | | | | |
% 32.07/5.06 | | | | | | | | BETA: splitting (282) gives:
% 32.07/5.06 | | | | | | | |
% 32.07/5.06 | | | | | | | | Case 1:
% 32.07/5.06 | | | | | | | | |
% 32.07/5.06 | | | | | | | | | (283) ~ (all_217_2 = 0)
% 32.07/5.06 | | | | | | | | |
% 32.07/5.06 | | | | | | | | | REDUCE: (274), (283) imply:
% 32.07/5.06 | | | | | | | | | (284) $false
% 32.07/5.06 | | | | | | | | |
% 32.07/5.06 | | | | | | | | | CLOSE: (284) is inconsistent.
% 32.07/5.06 | | | | | | | | |
% 32.07/5.06 | | | | | | | | Case 2:
% 32.07/5.06 | | | | | | | | |
% 32.07/5.06 | | | | | | | | | (285) all_217_0 = all_190_1
% 32.07/5.06 | | | | | | | | |
% 32.07/5.06 | | | | | | | | | REDUCE: (267), (285) imply:
% 32.07/5.06 | | | | | | | | | (286) sdtasdt0(all_39_0, all_190_2) = all_190_1
% 32.07/5.06 | | | | | | | | |
% 32.07/5.06 | | | | | | | | | BETA: splitting (263) gives:
% 32.07/5.06 | | | | | | | | |
% 32.07/5.06 | | | | | | | | | Case 1:
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | (287) ~ (all_215_1 = 0)
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | REDUCE: (277), (287) imply:
% 32.07/5.06 | | | | | | | | | | (288) $false
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | CLOSE: (288) is inconsistent.
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | Case 2:
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with all_60_0, xc,
% 32.07/5.06 | | | | | | | | | | all_190_2, all_39_0, all_190_1, simplifying with
% 32.07/5.06 | | | | | | | | | | (3), (26), (63), (252), (286) gives:
% 32.07/5.06 | | | | | | | | | | (289) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 32.07/5.06 | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_60_0, v3) =
% 32.07/5.06 | | | | | | | | | | v4 & sdtasdt0(xc, all_190_2) = v3 &
% 32.07/5.06 | | | | | | | | | | aElement0(all_190_2) = v2 & aElement0(all_60_0) =
% 32.07/5.06 | | | | | | | | | | v0 & aElement0(xc) = v1 & $i(v4) & $i(v3) & ( ~
% 32.07/5.06 | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 32.07/5.06 | | | | | | | | | | all_190_1))
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xc, all_60_0,
% 32.07/5.06 | | | | | | | | | | all_190_2, all_39_0, all_190_1, simplifying with
% 32.07/5.06 | | | | | | | | | | (3), (26), (28), (252), (286) gives:
% 32.07/5.06 | | | | | | | | | | (290) ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 32.07/5.06 | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_60_0,
% 32.07/5.06 | | | | | | | | | | all_190_2) = v3 & sdtasdt0(xc, v3) = v4 &
% 32.07/5.06 | | | | | | | | | | aElement0(all_190_2) = v2 & aElement0(all_60_0) =
% 32.07/5.06 | | | | | | | | | | v1 & aElement0(xc) = v0 & $i(v4) & $i(v3) & ( ~
% 32.07/5.06 | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 =
% 32.07/5.06 | | | | | | | | | | all_190_1))
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | DELTA: instantiating (290) with fresh symbols all_302_0,
% 32.07/5.06 | | | | | | | | | | all_302_1, all_302_2, all_302_3, all_302_4 gives:
% 32.07/5.06 | | | | | | | | | | (291) sdtasdt0(all_60_0, all_190_2) = all_302_1 &
% 32.07/5.06 | | | | | | | | | | sdtasdt0(xc, all_302_1) = all_302_0 &
% 32.07/5.06 | | | | | | | | | | aElement0(all_190_2) = all_302_2 &
% 32.07/5.06 | | | | | | | | | | aElement0(all_60_0) = all_302_3 & aElement0(xc) =
% 32.07/5.06 | | | | | | | | | | all_302_4 & $i(all_302_0) & $i(all_302_1) & ( ~
% 32.07/5.06 | | | | | | | | | | (all_302_2 = 0) | ~ (all_302_3 = 0) | ~
% 32.07/5.06 | | | | | | | | | | (all_302_4 = 0) | all_302_0 = all_190_1)
% 32.07/5.06 | | | | | | | | | |
% 32.07/5.06 | | | | | | | | | | ALPHA: (291) implies:
% 32.07/5.07 | | | | | | | | | | (292) $i(all_302_1)
% 32.07/5.07 | | | | | | | | | | (293) aElement0(xc) = all_302_4
% 32.07/5.07 | | | | | | | | | | (294) aElement0(all_60_0) = all_302_3
% 32.07/5.07 | | | | | | | | | | (295) aElement0(all_190_2) = all_302_2
% 32.07/5.07 | | | | | | | | | | (296) sdtasdt0(xc, all_302_1) = all_302_0
% 32.07/5.07 | | | | | | | | | | (297) sdtasdt0(all_60_0, all_190_2) = all_302_1
% 32.07/5.07 | | | | | | | | | | (298) ~ (all_302_2 = 0) | ~ (all_302_3 = 0) | ~
% 32.07/5.07 | | | | | | | | | | (all_302_4 = 0) | all_302_0 = all_190_1
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | DELTA: instantiating (289) with fresh symbols all_304_0,
% 32.07/5.07 | | | | | | | | | | all_304_1, all_304_2, all_304_3, all_304_4 gives:
% 32.07/5.07 | | | | | | | | | | (299) sdtasdt0(all_60_0, all_304_1) = all_304_0 &
% 32.07/5.07 | | | | | | | | | | sdtasdt0(xc, all_190_2) = all_304_1 &
% 32.07/5.07 | | | | | | | | | | aElement0(all_190_2) = all_304_2 &
% 32.07/5.07 | | | | | | | | | | aElement0(all_60_0) = all_304_4 & aElement0(xc) =
% 32.07/5.07 | | | | | | | | | | all_304_3 & $i(all_304_0) & $i(all_304_1) & ( ~
% 32.07/5.07 | | | | | | | | | | (all_304_2 = 0) | ~ (all_304_3 = 0) | ~
% 32.07/5.07 | | | | | | | | | | (all_304_4 = 0) | all_304_0 = all_190_1)
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | ALPHA: (299) implies:
% 32.07/5.07 | | | | | | | | | | (300) aElement0(xc) = all_304_3
% 32.07/5.07 | | | | | | | | | | (301) aElement0(all_60_0) = all_304_4
% 32.07/5.07 | | | | | | | | | | (302) aElement0(all_190_2) = all_304_2
% 32.07/5.07 | | | | | | | | | | (303) ~ (all_304_2 = 0) | ~ (all_304_3 = 0) | ~
% 32.07/5.07 | | | | | | | | | | (all_304_4 = 0) | all_304_0 = all_190_1
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_304_3, xc,
% 32.07/5.07 | | | | | | | | | | simplifying with (2), (300) gives:
% 32.07/5.07 | | | | | | | | | | (304) all_304_3 = 0
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | GROUND_INST: instantiating (5) with all_302_4, all_304_3, xc,
% 32.07/5.07 | | | | | | | | | | simplifying with (293), (300) gives:
% 32.07/5.07 | | | | | | | | | | (305) all_304_3 = all_302_4
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_304_4, all_60_0,
% 32.07/5.07 | | | | | | | | | | simplifying with (27), (301) gives:
% 32.07/5.07 | | | | | | | | | | (306) all_304_4 = 0
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | GROUND_INST: instantiating (5) with all_302_3, all_304_4,
% 32.07/5.07 | | | | | | | | | | all_60_0, simplifying with (294), (301) gives:
% 32.07/5.07 | | | | | | | | | | (307) all_304_4 = all_302_3
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_304_2, all_190_2,
% 32.07/5.07 | | | | | | | | | | simplifying with (254), (302) gives:
% 32.07/5.07 | | | | | | | | | | (308) all_304_2 = 0
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | GROUND_INST: instantiating (5) with all_302_2, all_304_2,
% 32.07/5.07 | | | | | | | | | | all_190_2, simplifying with (295), (302) gives:
% 32.07/5.07 | | | | | | | | | | (309) all_304_2 = all_302_2
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | COMBINE_EQS: (308), (309) imply:
% 32.07/5.07 | | | | | | | | | | (310) all_302_2 = 0
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | COMBINE_EQS: (304), (305) imply:
% 32.07/5.07 | | | | | | | | | | (311) all_302_4 = 0
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | COMBINE_EQS: (306), (307) imply:
% 32.07/5.07 | | | | | | | | | | (312) all_302_3 = 0
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | SIMP: (312) implies:
% 32.07/5.07 | | | | | | | | | | (313) all_302_3 = 0
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | BETA: splitting (298) gives:
% 32.07/5.07 | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | Case 1:
% 32.07/5.07 | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | (314) ~ (all_302_2 = 0)
% 32.07/5.07 | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | REDUCE: (310), (314) imply:
% 32.07/5.07 | | | | | | | | | | | (315) $false
% 32.07/5.07 | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | CLOSE: (315) is inconsistent.
% 32.07/5.07 | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | Case 2:
% 32.07/5.07 | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | (316) ~ (all_302_3 = 0) | ~ (all_302_4 = 0) |
% 32.07/5.07 | | | | | | | | | | | all_302_0 = all_190_1
% 32.07/5.07 | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | BETA: splitting (303) gives:
% 32.07/5.07 | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | Case 1:
% 32.07/5.07 | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | (317) ~ (all_304_2 = 0)
% 32.07/5.07 | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | REDUCE: (308), (317) imply:
% 32.07/5.07 | | | | | | | | | | | | (318) $false
% 32.07/5.07 | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | CLOSE: (318) is inconsistent.
% 32.07/5.07 | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | Case 2:
% 32.07/5.07 | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | (319) ~ (all_304_3 = 0) | ~ (all_304_4 = 0) |
% 32.07/5.07 | | | | | | | | | | | | all_304_0 = all_190_1
% 32.07/5.07 | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | BETA: splitting (316) gives:
% 32.07/5.07 | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | Case 1:
% 32.07/5.07 | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | (320) ~ (all_302_3 = 0)
% 32.07/5.07 | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | REDUCE: (313), (320) imply:
% 32.07/5.07 | | | | | | | | | | | | | (321) $false
% 32.07/5.07 | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | CLOSE: (321) is inconsistent.
% 32.07/5.07 | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | Case 2:
% 32.07/5.07 | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | (322) ~ (all_302_4 = 0) | all_302_0 = all_190_1
% 32.07/5.07 | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | BETA: splitting (322) gives:
% 32.07/5.07 | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | Case 1:
% 32.07/5.07 | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | (323) ~ (all_302_4 = 0)
% 32.07/5.07 | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | REDUCE: (311), (323) imply:
% 32.07/5.07 | | | | | | | | | | | | | | (324) $false
% 32.07/5.07 | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | CLOSE: (324) is inconsistent.
% 32.07/5.07 | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | Case 2:
% 32.07/5.07 | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | (325) all_302_0 = all_190_1
% 32.07/5.07 | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | REDUCE: (296), (325) imply:
% 32.07/5.07 | | | | | | | | | | | | | | (326) sdtasdt0(xc, all_302_1) = all_190_1
% 32.07/5.07 | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 32.07/5.07 | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | Case 1:
% 32.07/5.07 | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | (327) ~ (all_304_3 = 0)
% 32.07/5.07 | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | REDUCE: (304), (327) imply:
% 32.07/5.07 | | | | | | | | | | | | | | | (328) $false
% 32.07/5.07 | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent.
% 32.07/5.07 | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | Case 2:
% 32.07/5.07 | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | (329) ~ (all_304_4 = 0) | all_304_0 = all_190_1
% 32.07/5.07 | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 32.07/5.07 | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | Case 1:
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | (330) ~ (all_304_4 = 0)
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | REDUCE: (306), (330) imply:
% 32.07/5.07 | | | | | | | | | | | | | | | | (331) $false
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | CLOSE: (331) is inconsistent.
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | Case 2:
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (271) with all_302_1, simplifying
% 32.07/5.07 | | | | | | | | | | | | | | | | with (292), (326) gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (332) ? [v0: int] : ( ~ (v0 = 0) & aElement0(all_302_1)
% 32.07/5.07 | | | | | | | | | | | | | | | | = v0)
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xc, all_302_1,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_190_1, simplifying with (3), (292), (326)
% 32.07/5.07 | | | | | | | | | | | | | | | | gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (333) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 32.07/5.07 | | | | | | | | | | | | | | | | (sdtasdt0(all_302_1, xc) = v2 &
% 32.07/5.07 | | | | | | | | | | | | | | | | aElement0(all_302_1) = v1 & aElement0(xc) = v0 &
% 32.07/5.07 | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 32.07/5.07 | | | | | | | | | | | | | | | | all_190_1))
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xc, all_302_1,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_190_1, simplifying with (3), (292), (326)
% 32.07/5.07 | | | | | | | | | | | | | | | | gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (334) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 32.07/5.07 | | | | | | | | | | | | | | | | (aElement0(all_302_1) = v1 & aElement0(all_190_1)
% 32.07/5.07 | | | | | | | | | | | | | | | | = v2 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~
% 32.07/5.07 | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0))
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with all_60_0, all_190_2,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_302_1, simplifying with (26), (252), (297)
% 32.07/5.07 | | | | | | | | | | | | | | | | gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (335) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 32.07/5.07 | | | | | | | | | | | | | | | | (sdtasdt0(all_190_2, all_60_0) = v2 &
% 32.07/5.07 | | | | | | | | | | | | | | | | aElement0(all_190_2) = v1 & aElement0(all_60_0)
% 32.07/5.07 | | | | | | | | | | | | | | | | = v0 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2
% 32.07/5.07 | | | | | | | | | | | | | | | | = all_302_1))
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_60_0,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_190_2, all_302_1, simplifying with (26),
% 32.07/5.07 | | | | | | | | | | | | | | | | (252), (297) gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (336) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 32.07/5.07 | | | | | | | | | | | | | | | | (aElement0(all_302_1) = v2 & aElement0(all_190_2)
% 32.07/5.07 | | | | | | | | | | | | | | | | = v1 & aElement0(all_60_0) = v0 & ( ~ (v1 = 0) |
% 32.07/5.07 | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0))
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | DELTA: instantiating (332) with fresh symbol all_384_0
% 32.07/5.07 | | | | | | | | | | | | | | | | gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (337) ~ (all_384_0 = 0) & aElement0(all_302_1) =
% 32.07/5.07 | | | | | | | | | | | | | | | | all_384_0
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 32.07/5.07 | | | | | | | | | | | | | | | | (338) ~ (all_384_0 = 0)
% 32.07/5.07 | | | | | | | | | | | | | | | | (339) aElement0(all_302_1) = all_384_0
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | DELTA: instantiating (336) with fresh symbols all_390_0,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_390_1, all_390_2 gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (340) aElement0(all_302_1) = all_390_0 &
% 32.07/5.07 | | | | | | | | | | | | | | | | aElement0(all_190_2) = all_390_1 &
% 32.07/5.07 | | | | | | | | | | | | | | | | aElement0(all_60_0) = all_390_2 & ( ~ (all_390_1 =
% 32.07/5.07 | | | | | | | | | | | | | | | | 0) | ~ (all_390_2 = 0) | all_390_0 = 0)
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 32.07/5.07 | | | | | | | | | | | | | | | | (341) aElement0(all_60_0) = all_390_2
% 32.07/5.07 | | | | | | | | | | | | | | | | (342) aElement0(all_190_2) = all_390_1
% 32.07/5.07 | | | | | | | | | | | | | | | | (343) aElement0(all_302_1) = all_390_0
% 32.07/5.07 | | | | | | | | | | | | | | | | (344) ~ (all_390_1 = 0) | ~ (all_390_2 = 0) |
% 32.07/5.07 | | | | | | | | | | | | | | | | all_390_0 = 0
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | DELTA: instantiating (334) with fresh symbols all_392_0,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_392_1, all_392_2 gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (345) aElement0(all_302_1) = all_392_1 &
% 32.07/5.07 | | | | | | | | | | | | | | | | aElement0(all_190_1) = all_392_0 & aElement0(xc) =
% 32.07/5.07 | | | | | | | | | | | | | | | | all_392_2 & ( ~ (all_392_1 = 0) | ~ (all_392_2 =
% 32.07/5.07 | | | | | | | | | | | | | | | | 0) | all_392_0 = 0)
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 32.07/5.07 | | | | | | | | | | | | | | | | (346) aElement0(all_302_1) = all_392_1
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | DELTA: instantiating (335) with fresh symbols all_394_0,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_394_1, all_394_2 gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (347) sdtasdt0(all_190_2, all_60_0) = all_394_0 &
% 32.07/5.07 | | | | | | | | | | | | | | | | aElement0(all_190_2) = all_394_1 &
% 32.07/5.07 | | | | | | | | | | | | | | | | aElement0(all_60_0) = all_394_2 & $i(all_394_0) &
% 32.07/5.07 | | | | | | | | | | | | | | | | ( ~ (all_394_1 = 0) | ~ (all_394_2 = 0) |
% 32.07/5.07 | | | | | | | | | | | | | | | | all_394_0 = all_302_1)
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 32.07/5.07 | | | | | | | | | | | | | | | | (348) aElement0(all_60_0) = all_394_2
% 32.07/5.07 | | | | | | | | | | | | | | | | (349) aElement0(all_190_2) = all_394_1
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | DELTA: instantiating (333) with fresh symbols all_398_0,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_398_1, all_398_2 gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (350) sdtasdt0(all_302_1, xc) = all_398_0 &
% 32.07/5.07 | | | | | | | | | | | | | | | | aElement0(all_302_1) = all_398_1 & aElement0(xc) =
% 32.07/5.07 | | | | | | | | | | | | | | | | all_398_2 & $i(all_398_0) & ( ~ (all_398_1 = 0) |
% 32.07/5.07 | | | | | | | | | | | | | | | | ~ (all_398_2 = 0) | all_398_0 = all_190_1)
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 32.07/5.07 | | | | | | | | | | | | | | | | (351) aElement0(all_302_1) = all_398_1
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_394_2, all_60_0,
% 32.07/5.07 | | | | | | | | | | | | | | | | simplifying with (27), (348) gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (352) all_394_2 = 0
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_390_2, all_394_2,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_60_0, simplifying with (341), (348) gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (353) all_394_2 = all_390_2
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with 0, all_394_1, all_190_2,
% 32.07/5.07 | | | | | | | | | | | | | | | | simplifying with (254), (349) gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (354) all_394_1 = 0
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_390_1, all_394_1,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_190_2, simplifying with (342), (349) gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (355) all_394_1 = all_390_1
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_392_1, all_398_1,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_302_1, simplifying with (346), (351) gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (356) all_398_1 = all_392_1
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_390_0, all_398_1,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_302_1, simplifying with (343), (351) gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (357) all_398_1 = all_390_0
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_384_0, all_398_1,
% 32.07/5.07 | | | | | | | | | | | | | | | | all_302_1, simplifying with (339), (351) gives:
% 32.07/5.07 | | | | | | | | | | | | | | | | (358) all_398_1 = all_384_0
% 32.07/5.07 | | | | | | | | | | | | | | | |
% 32.07/5.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (358) imply:
% 32.07/5.08 | | | | | | | | | | | | | | | | (359) all_392_1 = all_384_0
% 32.07/5.08 | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (357) imply:
% 32.07/5.08 | | | | | | | | | | | | | | | | (360) all_392_1 = all_390_0
% 32.07/5.08 | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (355) imply:
% 32.07/5.08 | | | | | | | | | | | | | | | | (361) all_390_1 = 0
% 32.07/5.08 | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | SIMP: (361) implies:
% 32.07/5.08 | | | | | | | | | | | | | | | | (362) all_390_1 = 0
% 32.07/5.08 | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (353) imply:
% 32.07/5.08 | | | | | | | | | | | | | | | | (363) all_390_2 = 0
% 32.07/5.08 | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | SIMP: (363) implies:
% 32.07/5.08 | | | | | | | | | | | | | | | | (364) all_390_2 = 0
% 32.07/5.08 | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | COMBINE_EQS: (359), (360) imply:
% 32.07/5.08 | | | | | | | | | | | | | | | | (365) all_390_0 = all_384_0
% 32.07/5.08 | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 32.07/5.08 | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | Case 1:
% 32.07/5.08 | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | (366) ~ (all_390_1 = 0)
% 32.07/5.08 | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | REDUCE: (362), (366) imply:
% 32.07/5.08 | | | | | | | | | | | | | | | | | (367) $false
% 32.07/5.08 | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | CLOSE: (367) is inconsistent.
% 32.07/5.08 | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | Case 2:
% 32.07/5.08 | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | (368) ~ (all_390_2 = 0) | all_390_0 = 0
% 32.07/5.08 | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 32.07/5.08 | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | Case 1:
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | | (369) ~ (all_390_2 = 0)
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | | REDUCE: (364), (369) imply:
% 32.07/5.08 | | | | | | | | | | | | | | | | | | (370) $false
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | | CLOSE: (370) is inconsistent.
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | Case 2:
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | | (371) all_390_0 = 0
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (371) imply:
% 32.07/5.08 | | | | | | | | | | | | | | | | | | (372) all_384_0 = 0
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | | SIMP: (372) implies:
% 32.07/5.08 | | | | | | | | | | | | | | | | | | (373) all_384_0 = 0
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | | REDUCE: (338), (373) imply:
% 32.07/5.08 | | | | | | | | | | | | | | | | | | (374) $false
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | | CLOSE: (374) is inconsistent.
% 32.07/5.08 | | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | | End of split
% 32.07/5.08 | | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | | End of split
% 32.07/5.08 | | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | | End of split
% 32.07/5.08 | | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | | End of split
% 32.07/5.08 | | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | | End of split
% 32.07/5.08 | | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | | End of split
% 32.07/5.08 | | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | | End of split
% 32.07/5.08 | | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | | End of split
% 32.07/5.08 | | | | | | | | | |
% 32.07/5.08 | | | | | | | | | End of split
% 32.07/5.08 | | | | | | | | |
% 32.07/5.08 | | | | | | | | End of split
% 32.07/5.08 | | | | | | | |
% 32.07/5.08 | | | | | | | End of split
% 32.07/5.08 | | | | | | |
% 32.07/5.08 | | | | | | End of split
% 32.07/5.08 | | | | | |
% 32.07/5.08 | | | | | End of split
% 32.07/5.08 | | | | |
% 32.07/5.08 | | | | End of split
% 32.07/5.08 | | | |
% 32.07/5.08 | | | End of split
% 32.07/5.08 | | |
% 32.07/5.08 | | End of split
% 32.07/5.08 | |
% 32.07/5.08 | End of split
% 32.07/5.08 |
% 32.07/5.08 End of proof
% 32.07/5.08 % SZS output end Proof for theBenchmark
% 32.07/5.08
% 32.07/5.08 4464ms
%------------------------------------------------------------------------------