TSTP Solution File: NUM534+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM534+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 : n024.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 11:48:26 EDT 2023
% Result : Theorem 13.53s 2.64s
% Output : Proof 17.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 15:10:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.63 ________ _____
% 0.21/0.63 ___ __ \_________(_)________________________________
% 0.21/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63
% 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63 (2023-06-19)
% 0.21/0.63
% 0.21/0.63 (c) Philipp Rümmer, 2009-2023
% 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63 Amanda Stjerna.
% 0.21/0.63 Free software under BSD-3-Clause.
% 0.21/0.63
% 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63
% 0.21/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.21/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 2.64/1.06 Prover 1: Preprocessing ...
% 2.64/1.06 Prover 4: Preprocessing ...
% 2.64/1.10 Prover 2: Preprocessing ...
% 2.64/1.10 Prover 0: Preprocessing ...
% 2.64/1.10 Prover 6: Preprocessing ...
% 2.64/1.10 Prover 3: Preprocessing ...
% 2.64/1.10 Prover 5: Preprocessing ...
% 6.35/1.60 Prover 3: Constructing countermodel ...
% 6.35/1.60 Prover 1: Constructing countermodel ...
% 6.35/1.60 Prover 5: Constructing countermodel ...
% 6.35/1.61 Prover 2: Proving ...
% 6.35/1.63 Prover 6: Proving ...
% 8.57/1.90 Prover 4: Constructing countermodel ...
% 8.57/1.98 Prover 0: Proving ...
% 13.53/2.64 Prover 3: proved (1980ms)
% 13.53/2.64
% 13.53/2.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.53/2.64
% 13.53/2.64 Prover 5: stopped
% 14.07/2.64 Prover 2: stopped
% 14.07/2.64 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 14.07/2.64 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 14.07/2.64 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.07/2.65 Prover 0: stopped
% 14.07/2.67 Prover 6: stopped
% 14.07/2.68 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.07/2.68 Prover 8: Preprocessing ...
% 14.07/2.68 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.07/2.69 Prover 10: Preprocessing ...
% 14.07/2.69 Prover 7: Preprocessing ...
% 14.07/2.71 Prover 11: Preprocessing ...
% 14.69/2.73 Prover 13: Preprocessing ...
% 14.69/2.74 Prover 7: Constructing countermodel ...
% 14.69/2.78 Prover 10: Constructing countermodel ...
% 15.11/2.83 Prover 8: Warning: ignoring some quantifiers
% 15.68/2.86 Prover 8: Constructing countermodel ...
% 15.68/2.86 Prover 13: Constructing countermodel ...
% 17.01/3.02 Prover 1: Found proof (size 121)
% 17.01/3.02 Prover 1: proved (2366ms)
% 17.01/3.02 Prover 8: stopped
% 17.01/3.02 Prover 13: stopped
% 17.01/3.02 Prover 7: stopped
% 17.01/3.02 Prover 10: stopped
% 17.01/3.02 Prover 4: stopped
% 17.01/3.03 Prover 11: Constructing countermodel ...
% 17.01/3.04 Prover 11: stopped
% 17.01/3.04
% 17.01/3.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.01/3.04
% 17.01/3.05 % SZS output start Proof for theBenchmark
% 17.01/3.05 Assumptions after simplification:
% 17.01/3.05 ---------------------------------
% 17.01/3.05
% 17.01/3.05 (mDefCons)
% 17.27/3.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 17.27/3.09 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aSet0(v0) = v3 &
% 17.27/3.09 aElement0(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0))) | ( ! [v3: $i] : (v3 =
% 17.27/3.09 v2 | ~ (aSet0(v3) = 0) | ~ $i(v3) | ? [v4: $i] : ? [v5: any] : ?
% 17.27/3.09 [v6: any] : ? [v7: any] : (aElement0(v4) = v6 & aElementOf0(v4, v3) =
% 17.27/3.09 v5 & aElementOf0(v4, v0) = v7 & $i(v4) & ( ~ (v6 = 0) | ~ (v5 = 0) |
% 17.27/3.09 ( ~ (v7 = 0) & ~ (v4 = v1))) & (v5 = 0 | (v6 = 0 & (v7 = 0 | v4 =
% 17.27/3.09 v1))))) & ! [v3: any] : ( ~ (aSet0(v2) = v3) | ~ $i(v2) | (v3
% 17.27/3.09 = 0 & ! [v4: $i] : ! [v5: any] : ( ~ (aElement0(v4) = v5) | ~
% 17.27/3.09 $i(v4) | ? [v6: any] : ? [v7: any] : (aElementOf0(v4, v2) = v6 &
% 17.27/3.09 aElementOf0(v4, v0) = v7 & ( ~ (v6 = 0) | (v5 = 0 & (v7 = 0 | v4 =
% 17.27/3.09 v1))))) & ! [v4: $i] : ( ~ (aElement0(v4) = 0) | ~ $i(v4)
% 17.27/3.09 | ? [v5: any] : ? [v6: any] : (aElementOf0(v4, v2) = v6 &
% 17.27/3.09 aElementOf0(v4, v0) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4 =
% 17.27/3.09 v1)))))))))
% 17.27/3.09
% 17.27/3.09 (mDefDiff)
% 17.27/3.10 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtmndt0(v0, v1) = v2) | ~
% 17.27/3.10 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aSet0(v0) = v3 &
% 17.27/3.10 aElement0(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0))) | ( ! [v3: $i] : (v3 =
% 17.27/3.10 v2 | ~ (aSet0(v3) = 0) | ~ $i(v3) | ? [v4: $i] : ? [v5: any] : ?
% 17.27/3.10 [v6: any] : ? [v7: any] : (aElement0(v4) = v6 & aElementOf0(v4, v3) =
% 17.27/3.10 v5 & aElementOf0(v4, v0) = v7 & $i(v4) & ( ~ (v7 = 0) | ~ (v6 = 0) |
% 17.27/3.10 ~ (v5 = 0) | v4 = v1) & (v5 = 0 | (v7 = 0 & v6 = 0 & ~ (v4 =
% 17.27/3.10 v1))))) & ! [v3: any] : ( ~ (aSet0(v2) = v3) | ~ $i(v2) | (v3
% 17.27/3.10 = 0 & ! [v4: $i] : ! [v5: any] : ( ~ (aElement0(v4) = v5) | ~
% 17.27/3.10 $i(v4) | ? [v6: any] : ? [v7: any] : (aElementOf0(v4, v2) = v6 &
% 17.27/3.10 aElementOf0(v4, v0) = v7 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0 & ~
% 17.27/3.10 (v4 = v1))))) & ! [v4: $i] : (v4 = v1 | ~ (aElement0(v4) =
% 17.27/3.10 0) | ~ $i(v4) | ? [v5: any] : ? [v6: any] : (aElementOf0(v4,
% 17.27/3.10 v2) = v6 & aElementOf0(v4, v0) = v5 & ( ~ (v5 = 0) | v6 =
% 17.27/3.10 0)))))))
% 17.27/3.10
% 17.27/3.10 (mEOfElem)
% 17.27/3.10 ! [v0: $i] : ( ~ (aSet0(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ! [v2: int] :
% 17.27/3.10 (v2 = 0 | ~ (aElement0(v1) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0)
% 17.27/3.10 & aElementOf0(v1, v0) = v3)))
% 17.27/3.10
% 17.27/3.10 (m__)
% 17.27/3.10 $i(xx) & $i(xS) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = xS) & sdtmndt0(xS, xx)
% 17.27/3.10 = v0 & sdtpldt0(v0, xx) = v1 & aSet0(v1) = 0 & aSet0(v0) = 0 & $i(v1) &
% 17.27/3.10 $i(v0) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | v2 = xx | ~
% 17.27/3.10 (aElementOf0(v2, v0) = v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] :
% 17.27/3.10 (aElement0(v2) = v4 & aElementOf0(v2, xS) = v5 & ( ~ (v5 = 0) | ~ (v4 =
% 17.27/3.10 0)))) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (aElementOf0(v2,
% 17.27/3.10 v1) = v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] : (aElement0(v2) =
% 17.27/3.10 v4 & aElementOf0(v2, v0) = v5 & ( ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v2 =
% 17.27/3.10 xx))))) & ! [v2: $i] : ( ~ (aElementOf0(v2, v1) = 0) | ~ $i(v2)
% 17.27/3.10 | ? [v3: any] : (aElement0(v2) = 0 & aElementOf0(v2, v0) = v3 & (v3 = 0 |
% 17.27/3.10 v2 = xx))) & ! [v2: $i] : ( ~ (aElementOf0(v2, v0) = 0) | ~ $i(v2) |
% 17.27/3.10 ( ~ (v2 = xx) & aElement0(v2) = 0 & aElementOf0(v2, xS) = 0)))
% 17.27/3.10
% 17.27/3.10 (m__617)
% 17.27/3.10 aSet0(xS) = 0 & $i(xS)
% 17.27/3.10
% 17.27/3.10 (m__617_02)
% 17.27/3.10 aElementOf0(xx, xS) = 0 & $i(xx) & $i(xS)
% 17.27/3.10
% 17.27/3.10 (function-axioms)
% 17.27/3.10 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 17.27/3.10 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0: $i] : !
% 17.27/3.10 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) |
% 17.27/3.10 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 17.27/3.10 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 17.27/3.10 (aSubsetOf0(v3, v2) = v1) | ~ (aSubsetOf0(v3, v2) = v0)) & ! [v0:
% 17.27/3.10 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 17.27/3.10 : (v1 = v0 | ~ (aElementOf0(v3, v2) = v1) | ~ (aElementOf0(v3, v2) = v0)) &
% 17.27/3.10 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 17.27/3.10 v0 | ~ (isCountable0(v2) = v1) | ~ (isCountable0(v2) = v0)) & ! [v0:
% 17.27/3.10 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 17.27/3.10 ~ (isFinite0(v2) = v1) | ~ (isFinite0(v2) = v0)) & ! [v0:
% 17.27/3.10 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 17.27/3.10 ~ (aSet0(v2) = v1) | ~ (aSet0(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 17.27/3.10 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aElement0(v2) = v1) |
% 17.27/3.10 ~ (aElement0(v2) = v0))
% 17.27/3.10
% 17.27/3.10 Further assumptions not needed in the proof:
% 17.27/3.10 --------------------------------------------
% 17.27/3.10 mCntRel, mCountNFin, mCountNFin_01, mDefEmp, mDefSub, mElmSort, mEmpFin,
% 17.27/3.10 mFinRel, mSetSort, mSubASymm, mSubFSet, mSubRefl, mSubTrans
% 17.27/3.10
% 17.27/3.10 Those formulas are unsatisfiable:
% 17.27/3.10 ---------------------------------
% 17.27/3.10
% 17.27/3.10 Begin of proof
% 17.27/3.11 |
% 17.27/3.11 | ALPHA: (m__617) implies:
% 17.27/3.11 | (1) aSet0(xS) = 0
% 17.27/3.11 |
% 17.27/3.11 | ALPHA: (m__617_02) implies:
% 17.27/3.11 | (2) aElementOf0(xx, xS) = 0
% 17.27/3.11 |
% 17.27/3.11 | ALPHA: (m__) implies:
% 17.27/3.11 | (3) $i(xS)
% 17.27/3.11 | (4) $i(xx)
% 17.27/3.11 | (5) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = xS) & sdtmndt0(xS, xx) = v0 &
% 17.27/3.11 | sdtpldt0(v0, xx) = v1 & aSet0(v1) = 0 & aSet0(v0) = 0 & $i(v1) &
% 17.27/3.11 | $i(v0) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | v2 = xx | ~
% 17.27/3.11 | (aElementOf0(v2, v0) = v3) | ~ $i(v2) | ? [v4: any] : ? [v5:
% 17.27/3.11 | any] : (aElement0(v2) = v4 & aElementOf0(v2, xS) = v5 & ( ~ (v5 =
% 17.27/3.11 | 0) | ~ (v4 = 0)))) & ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 17.27/3.11 | ~ (aElementOf0(v2, v1) = v3) | ~ $i(v2) | ? [v4: any] : ? [v5:
% 17.27/3.11 | any] : (aElement0(v2) = v4 & aElementOf0(v2, v0) = v5 & ( ~ (v4 =
% 17.27/3.11 | 0) | ( ~ (v5 = 0) & ~ (v2 = xx))))) & ! [v2: $i] : ( ~
% 17.27/3.11 | (aElementOf0(v2, v1) = 0) | ~ $i(v2) | ? [v3: any] :
% 17.27/3.11 | (aElement0(v2) = 0 & aElementOf0(v2, v0) = v3 & (v3 = 0 | v2 =
% 17.27/3.11 | xx))) & ! [v2: $i] : ( ~ (aElementOf0(v2, v0) = 0) | ~ $i(v2)
% 17.27/3.11 | | ( ~ (v2 = xx) & aElement0(v2) = 0 & aElementOf0(v2, xS) = 0)))
% 17.27/3.11 |
% 17.27/3.11 | ALPHA: (function-axioms) implies:
% 17.27/3.11 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 17.27/3.11 | (v1 = v0 | ~ (aElement0(v2) = v1) | ~ (aElement0(v2) = v0))
% 17.27/3.11 | (7) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 17.27/3.11 | (v1 = v0 | ~ (aSet0(v2) = v1) | ~ (aSet0(v2) = v0))
% 17.27/3.11 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 17.27/3.11 | ! [v3: $i] : (v1 = v0 | ~ (aElementOf0(v3, v2) = v1) | ~
% 17.27/3.11 | (aElementOf0(v3, v2) = v0))
% 17.27/3.11 |
% 17.27/3.11 | DELTA: instantiating (5) with fresh symbols all_14_0, all_14_1 gives:
% 17.27/3.12 | (9) ~ (all_14_0 = xS) & sdtmndt0(xS, xx) = all_14_1 & sdtpldt0(all_14_1,
% 17.27/3.12 | xx) = all_14_0 & aSet0(all_14_0) = 0 & aSet0(all_14_1) = 0 &
% 17.27/3.12 | $i(all_14_0) & $i(all_14_1) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | v0
% 17.27/3.12 | = xx | ~ (aElementOf0(v0, all_14_1) = v1) | ~ $i(v0) | ? [v2: any]
% 17.27/3.12 | : ? [v3: any] : (aElement0(v0) = v2 & aElementOf0(v0, xS) = v3 & ( ~
% 17.27/3.12 | (v3 = 0) | ~ (v2 = 0)))) & ! [v0: $i] : ! [v1: int] : (v1 = 0
% 17.27/3.12 | | ~ (aElementOf0(v0, all_14_0) = v1) | ~ $i(v0) | ? [v2: any] : ?
% 17.27/3.12 | [v3: any] : (aElement0(v0) = v2 & aElementOf0(v0, all_14_1) = v3 & (
% 17.27/3.12 | ~ (v2 = 0) | ( ~ (v3 = 0) & ~ (v0 = xx))))) & ! [v0: $i] : ( ~
% 17.27/3.12 | (aElementOf0(v0, all_14_0) = 0) | ~ $i(v0) | ? [v1: any] :
% 17.27/3.12 | (aElement0(v0) = 0 & aElementOf0(v0, all_14_1) = v1 & (v1 = 0 | v0 =
% 17.27/3.12 | xx))) & ! [v0: $i] : ( ~ (aElementOf0(v0, all_14_1) = 0) | ~
% 17.27/3.12 | $i(v0) | ( ~ (v0 = xx) & aElement0(v0) = 0 & aElementOf0(v0, xS) =
% 17.27/3.12 | 0))
% 17.27/3.12 |
% 17.27/3.12 | ALPHA: (9) implies:
% 17.27/3.12 | (10) ~ (all_14_0 = xS)
% 17.27/3.12 | (11) $i(all_14_1)
% 17.27/3.12 | (12) $i(all_14_0)
% 17.27/3.12 | (13) aSet0(all_14_1) = 0
% 17.27/3.12 | (14) aSet0(all_14_0) = 0
% 17.27/3.12 | (15) sdtpldt0(all_14_1, xx) = all_14_0
% 17.27/3.12 | (16) sdtmndt0(xS, xx) = all_14_1
% 17.27/3.12 | (17) ! [v0: $i] : ! [v1: int] : (v1 = 0 | v0 = xx | ~ (aElementOf0(v0,
% 17.27/3.12 | all_14_1) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] :
% 17.27/3.12 | (aElement0(v0) = v2 & aElementOf0(v0, xS) = v3 & ( ~ (v3 = 0) | ~
% 17.27/3.12 | (v2 = 0))))
% 17.27/3.12 |
% 17.27/3.12 | GROUND_INST: instantiating (mEOfElem) with xS, simplifying with (1), (3)
% 17.27/3.12 | gives:
% 17.27/3.12 | (18) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (aElement0(v0) = v1) | ~
% 17.27/3.12 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & aElementOf0(v0, xS) = v2))
% 17.27/3.12 |
% 17.27/3.12 | GROUND_INST: instantiating (mDefCons) with all_14_1, xx, all_14_0, simplifying
% 17.27/3.12 | with (4), (11), (15) gives:
% 17.27/3.12 | (19) ? [v0: any] : ? [v1: any] : (aSet0(all_14_1) = v0 & aElement0(xx) =
% 17.27/3.12 | v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ( ! [v0: any] : (v0 = all_14_0 |
% 17.27/3.12 | ~ (aSet0(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: any] : ?
% 17.27/3.12 | [v3: any] : ? [v4: any] : (aElement0(v1) = v3 & aElementOf0(v1,
% 17.27/3.12 | v0) = v2 & aElementOf0(v1, all_14_1) = v4 & $i(v1) & ( ~ (v3 =
% 17.27/3.12 | 0) | ~ (v2 = 0) | ( ~ (v4 = 0) & ~ (v1 = xx))) & (v2 = 0 |
% 17.27/3.12 | (v3 = 0 & (v4 = 0 | v1 = xx))))) & ! [v0: any] : ( ~
% 17.27/3.12 | (aSet0(all_14_0) = v0) | ~ $i(all_14_0) | (v0 = 0 & ! [v1: $i] :
% 17.27/3.12 | ! [v2: any] : ( ~ (aElement0(v1) = v2) | ~ $i(v1) | ? [v3:
% 17.27/3.12 | any] : ? [v4: any] : (aElementOf0(v1, all_14_0) = v3 &
% 17.27/3.12 | aElementOf0(v1, all_14_1) = v4 & ( ~ (v3 = 0) | (v2 = 0 &
% 17.27/3.12 | (v4 = 0 | v1 = xx))))) & ! [v1: $i] : ( ~
% 17.27/3.12 | (aElement0(v1) = 0) | ~ $i(v1) | ? [v2: any] : ? [v3: any]
% 17.27/3.12 | : (aElementOf0(v1, all_14_0) = v3 & aElementOf0(v1, all_14_1)
% 17.27/3.12 | = v2 & (v3 = 0 | ( ~ (v2 = 0) & ~ (v1 = xx))))))))
% 17.27/3.12 |
% 17.27/3.12 | GROUND_INST: instantiating (mDefDiff) with xS, xx, all_14_1, simplifying with
% 17.27/3.12 | (3), (4), (16) gives:
% 17.27/3.12 | (20) ? [v0: any] : ? [v1: any] : (aSet0(xS) = v0 & aElement0(xx) = v1 & (
% 17.27/3.12 | ~ (v1 = 0) | ~ (v0 = 0))) | ( ! [v0: any] : (v0 = all_14_1 | ~
% 17.27/3.12 | (aSet0(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: any] : ? [v3:
% 17.27/3.12 | any] : ? [v4: any] : (aElement0(v1) = v3 & aElementOf0(v1, v0)
% 17.27/3.12 | = v2 & aElementOf0(v1, xS) = v4 & $i(v1) & ( ~ (v4 = 0) | ~ (v3
% 17.27/3.12 | = 0) | ~ (v2 = 0) | v1 = xx) & (v2 = 0 | (v4 = 0 & v3 = 0 &
% 17.27/3.12 | ~ (v1 = xx))))) & ! [v0: any] : ( ~ (aSet0(all_14_1) = v0)
% 17.27/3.13 | | ~ $i(all_14_1) | (v0 = 0 & ! [v1: $i] : ! [v2: any] : ( ~
% 17.27/3.13 | (aElement0(v1) = v2) | ~ $i(v1) | ? [v3: any] : ? [v4: any]
% 17.27/3.13 | : (aElementOf0(v1, all_14_1) = v3 & aElementOf0(v1, xS) = v4 &
% 17.27/3.13 | ( ~ (v3 = 0) | (v4 = 0 & v2 = 0 & ~ (v1 = xx))))) & ! [v1:
% 17.27/3.13 | $i] : (v1 = xx | ~ (aElement0(v1) = 0) | ~ $i(v1) | ? [v2:
% 17.27/3.13 | any] : ? [v3: any] : (aElementOf0(v1, all_14_1) = v3 &
% 17.27/3.13 | aElementOf0(v1, xS) = v2 & ( ~ (v2 = 0) | v3 = 0))))))
% 17.27/3.13 |
% 17.27/3.13 | BETA: splitting (19) gives:
% 17.27/3.13 |
% 17.27/3.13 | Case 1:
% 17.27/3.13 | |
% 17.27/3.13 | | (21) ? [v0: any] : ? [v1: any] : (aSet0(all_14_1) = v0 & aElement0(xx)
% 17.27/3.13 | | = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 17.27/3.13 | |
% 17.27/3.13 | | DELTA: instantiating (21) with fresh symbols all_39_0, all_39_1 gives:
% 17.27/3.13 | | (22) aSet0(all_14_1) = all_39_1 & aElement0(xx) = all_39_0 & ( ~
% 17.27/3.13 | | (all_39_0 = 0) | ~ (all_39_1 = 0))
% 17.27/3.13 | |
% 17.27/3.13 | | ALPHA: (22) implies:
% 17.27/3.13 | | (23) aElement0(xx) = all_39_0
% 17.27/3.13 | | (24) aSet0(all_14_1) = all_39_1
% 17.27/3.13 | | (25) ~ (all_39_0 = 0) | ~ (all_39_1 = 0)
% 17.27/3.13 | |
% 17.27/3.13 | | GROUND_INST: instantiating (7) with 0, all_39_1, all_14_1, simplifying with
% 17.27/3.13 | | (13), (24) gives:
% 17.27/3.13 | | (26) all_39_1 = 0
% 17.27/3.13 | |
% 17.27/3.13 | | BETA: splitting (25) gives:
% 17.27/3.13 | |
% 17.27/3.13 | | Case 1:
% 17.27/3.13 | | |
% 17.27/3.13 | | | (27) ~ (all_39_0 = 0)
% 17.27/3.13 | | |
% 17.27/3.13 | | | GROUND_INST: instantiating (18) with xx, all_39_0, simplifying with (4),
% 17.27/3.13 | | | (23) gives:
% 17.27/3.13 | | | (28) all_39_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & aElementOf0(xx, xS) =
% 17.27/3.13 | | | v0)
% 17.27/3.13 | | |
% 17.27/3.13 | | | BETA: splitting (28) gives:
% 17.27/3.13 | | |
% 17.27/3.13 | | | Case 1:
% 17.27/3.13 | | | |
% 17.27/3.13 | | | | (29) all_39_0 = 0
% 17.27/3.13 | | | |
% 17.27/3.13 | | | | REDUCE: (27), (29) imply:
% 17.27/3.13 | | | | (30) $false
% 17.27/3.13 | | | |
% 17.27/3.13 | | | | CLOSE: (30) is inconsistent.
% 17.27/3.13 | | | |
% 17.27/3.13 | | | Case 2:
% 17.27/3.13 | | | |
% 17.27/3.13 | | | | (31) ? [v0: int] : ( ~ (v0 = 0) & aElementOf0(xx, xS) = v0)
% 17.27/3.13 | | | |
% 17.27/3.13 | | | | DELTA: instantiating (31) with fresh symbol all_66_0 gives:
% 17.27/3.13 | | | | (32) ~ (all_66_0 = 0) & aElementOf0(xx, xS) = all_66_0
% 17.27/3.13 | | | |
% 17.27/3.13 | | | | ALPHA: (32) implies:
% 17.27/3.13 | | | | (33) ~ (all_66_0 = 0)
% 17.27/3.13 | | | | (34) aElementOf0(xx, xS) = all_66_0
% 17.27/3.13 | | | |
% 17.27/3.13 | | | | GROUND_INST: instantiating (8) with 0, all_66_0, xS, xx, simplifying
% 17.27/3.13 | | | | with (2), (34) gives:
% 17.27/3.13 | | | | (35) all_66_0 = 0
% 17.27/3.13 | | | |
% 17.27/3.13 | | | | REDUCE: (33), (35) imply:
% 17.27/3.13 | | | | (36) $false
% 17.27/3.13 | | | |
% 17.27/3.13 | | | | CLOSE: (36) is inconsistent.
% 17.27/3.13 | | | |
% 17.27/3.13 | | | End of split
% 17.27/3.13 | | |
% 17.27/3.13 | | Case 2:
% 17.27/3.13 | | |
% 17.27/3.13 | | | (37) ~ (all_39_1 = 0)
% 17.27/3.13 | | |
% 17.27/3.13 | | | REDUCE: (26), (37) imply:
% 17.27/3.13 | | | (38) $false
% 17.27/3.13 | | |
% 17.27/3.13 | | | CLOSE: (38) is inconsistent.
% 17.27/3.13 | | |
% 17.27/3.13 | | End of split
% 17.27/3.13 | |
% 17.27/3.13 | Case 2:
% 17.27/3.13 | |
% 17.27/3.13 | | (39) ! [v0: any] : (v0 = all_14_0 | ~ (aSet0(v0) = 0) | ~ $i(v0) | ?
% 17.27/3.13 | | [v1: $i] : ? [v2: any] : ? [v3: any] : ? [v4: any] :
% 17.27/3.13 | | (aElement0(v1) = v3 & aElementOf0(v1, v0) = v2 & aElementOf0(v1,
% 17.27/3.13 | | all_14_1) = v4 & $i(v1) & ( ~ (v3 = 0) | ~ (v2 = 0) | ( ~ (v4
% 17.27/3.13 | | = 0) & ~ (v1 = xx))) & (v2 = 0 | (v3 = 0 & (v4 = 0 | v1 =
% 17.27/3.13 | | xx))))) & ! [v0: any] : ( ~ (aSet0(all_14_0) = v0) | ~
% 17.27/3.13 | | $i(all_14_0) | (v0 = 0 & ! [v1: $i] : ! [v2: any] : ( ~
% 17.27/3.13 | | (aElement0(v1) = v2) | ~ $i(v1) | ? [v3: any] : ? [v4: any]
% 17.27/3.13 | | : (aElementOf0(v1, all_14_0) = v3 & aElementOf0(v1, all_14_1)
% 17.27/3.13 | | = v4 & ( ~ (v3 = 0) | (v2 = 0 & (v4 = 0 | v1 = xx))))) & !
% 17.27/3.13 | | [v1: $i] : ( ~ (aElement0(v1) = 0) | ~ $i(v1) | ? [v2: any] :
% 17.27/3.13 | | ? [v3: any] : (aElementOf0(v1, all_14_0) = v3 &
% 17.27/3.13 | | aElementOf0(v1, all_14_1) = v2 & (v3 = 0 | ( ~ (v2 = 0) & ~
% 17.27/3.13 | | (v1 = xx)))))))
% 17.27/3.13 | |
% 17.27/3.13 | | ALPHA: (39) implies:
% 17.27/3.14 | | (40) ! [v0: any] : ( ~ (aSet0(all_14_0) = v0) | ~ $i(all_14_0) | (v0 =
% 17.27/3.14 | | 0 & ! [v1: $i] : ! [v2: any] : ( ~ (aElement0(v1) = v2) | ~
% 17.27/3.14 | | $i(v1) | ? [v3: any] : ? [v4: any] : (aElementOf0(v1,
% 17.27/3.14 | | all_14_0) = v3 & aElementOf0(v1, all_14_1) = v4 & ( ~ (v3
% 17.27/3.14 | | = 0) | (v2 = 0 & (v4 = 0 | v1 = xx))))) & ! [v1: $i] :
% 17.27/3.14 | | ( ~ (aElement0(v1) = 0) | ~ $i(v1) | ? [v2: any] : ? [v3:
% 17.27/3.14 | | any] : (aElementOf0(v1, all_14_0) = v3 & aElementOf0(v1,
% 17.27/3.14 | | all_14_1) = v2 & (v3 = 0 | ( ~ (v2 = 0) & ~ (v1 =
% 17.27/3.14 | | xx)))))))
% 17.27/3.14 | | (41) ! [v0: any] : (v0 = all_14_0 | ~ (aSet0(v0) = 0) | ~ $i(v0) | ?
% 17.27/3.14 | | [v1: $i] : ? [v2: any] : ? [v3: any] : ? [v4: any] :
% 17.27/3.14 | | (aElement0(v1) = v3 & aElementOf0(v1, v0) = v2 & aElementOf0(v1,
% 17.27/3.14 | | all_14_1) = v4 & $i(v1) & ( ~ (v3 = 0) | ~ (v2 = 0) | ( ~ (v4
% 17.27/3.14 | | = 0) & ~ (v1 = xx))) & (v2 = 0 | (v3 = 0 & (v4 = 0 | v1 =
% 17.27/3.14 | | xx)))))
% 17.27/3.14 | |
% 17.27/3.14 | | GROUND_INST: instantiating (41) with xS, simplifying with (1), (3) gives:
% 17.27/3.14 | | (42) all_14_0 = xS | ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3:
% 17.27/3.14 | | any] : (aElement0(v0) = v2 & aElementOf0(v0, all_14_1) = v3 &
% 17.27/3.14 | | aElementOf0(v0, xS) = v1 & $i(v0) & ( ~ (v2 = 0) | ~ (v1 = 0) | (
% 17.27/3.14 | | ~ (v3 = 0) & ~ (v0 = xx))) & (v1 = 0 | (v2 = 0 & (v3 = 0 | v0
% 17.27/3.14 | | = xx))))
% 17.27/3.14 | |
% 17.27/3.14 | | GROUND_INST: instantiating (40) with 0, simplifying with (12), (14) gives:
% 17.27/3.14 | | (43) ! [v0: $i] : ! [v1: any] : ( ~ (aElement0(v0) = v1) | ~ $i(v0) |
% 17.27/3.14 | | ? [v2: any] : ? [v3: any] : (aElementOf0(v0, all_14_0) = v2 &
% 17.27/3.14 | | aElementOf0(v0, all_14_1) = v3 & ( ~ (v2 = 0) | (v1 = 0 & (v3 =
% 17.27/3.14 | | 0 | v0 = xx))))) & ! [v0: $i] : ( ~ (aElement0(v0) = 0) |
% 17.27/3.14 | | ~ $i(v0) | ? [v1: any] : ? [v2: any] : (aElementOf0(v0,
% 17.27/3.14 | | all_14_0) = v2 & aElementOf0(v0, all_14_1) = v1 & (v2 = 0 | (
% 17.27/3.14 | | ~ (v1 = 0) & ~ (v0 = xx)))))
% 17.27/3.14 | |
% 17.27/3.14 | | ALPHA: (43) implies:
% 17.27/3.14 | | (44) ! [v0: $i] : ! [v1: any] : ( ~ (aElement0(v0) = v1) | ~ $i(v0) |
% 17.27/3.14 | | ? [v2: any] : ? [v3: any] : (aElementOf0(v0, all_14_0) = v2 &
% 17.27/3.14 | | aElementOf0(v0, all_14_1) = v3 & ( ~ (v2 = 0) | (v1 = 0 & (v3 =
% 17.27/3.14 | | 0 | v0 = xx)))))
% 17.27/3.14 | |
% 17.27/3.14 | | BETA: splitting (42) gives:
% 17.27/3.14 | |
% 17.27/3.14 | | Case 1:
% 17.27/3.14 | | |
% 17.27/3.14 | | | (45) all_14_0 = xS
% 17.27/3.14 | | |
% 17.27/3.14 | | | REDUCE: (10), (45) imply:
% 17.27/3.14 | | | (46) $false
% 17.27/3.14 | | |
% 17.27/3.14 | | | CLOSE: (46) is inconsistent.
% 17.27/3.14 | | |
% 17.27/3.14 | | Case 2:
% 17.27/3.14 | | |
% 17.27/3.14 | | | (47) ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 17.27/3.14 | | | (aElement0(v0) = v2 & aElementOf0(v0, all_14_1) = v3 &
% 17.27/3.14 | | | aElementOf0(v0, xS) = v1 & $i(v0) & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 17.27/3.14 | | | ( ~ (v3 = 0) & ~ (v0 = xx))) & (v1 = 0 | (v2 = 0 & (v3 = 0 |
% 17.27/3.14 | | | v0 = xx))))
% 17.27/3.14 | | |
% 17.27/3.14 | | | DELTA: instantiating (47) with fresh symbols all_44_0, all_44_1, all_44_2,
% 17.27/3.14 | | | all_44_3 gives:
% 17.27/3.14 | | | (48) aElement0(all_44_3) = all_44_1 & aElementOf0(all_44_3, all_14_1) =
% 17.27/3.14 | | | all_44_0 & aElementOf0(all_44_3, xS) = all_44_2 & $i(all_44_3) & (
% 17.27/3.14 | | | ~ (all_44_1 = 0) | ~ (all_44_2 = 0) | ( ~ (all_44_0 = 0) & ~
% 17.27/3.14 | | | (all_44_3 = xx))) & (all_44_2 = 0 | (all_44_1 = 0 & (all_44_0
% 17.27/3.14 | | | = 0 | all_44_3 = xx)))
% 17.27/3.14 | | |
% 17.27/3.14 | | | ALPHA: (48) implies:
% 17.27/3.14 | | | (49) $i(all_44_3)
% 17.27/3.14 | | | (50) aElementOf0(all_44_3, xS) = all_44_2
% 17.27/3.14 | | | (51) aElementOf0(all_44_3, all_14_1) = all_44_0
% 17.27/3.15 | | | (52) aElement0(all_44_3) = all_44_1
% 17.27/3.15 | | | (53) all_44_2 = 0 | (all_44_1 = 0 & (all_44_0 = 0 | all_44_3 = xx))
% 17.27/3.15 | | | (54) ~ (all_44_1 = 0) | ~ (all_44_2 = 0) | ( ~ (all_44_0 = 0) & ~
% 17.27/3.15 | | | (all_44_3 = xx))
% 17.27/3.15 | | |
% 17.27/3.15 | | | GROUND_INST: instantiating (17) with all_44_3, all_44_0, simplifying with
% 17.27/3.15 | | | (49), (51) gives:
% 17.27/3.15 | | | (55) all_44_0 = 0 | all_44_3 = xx | ? [v0: any] : ? [v1: any] :
% 17.27/3.15 | | | (aElement0(all_44_3) = v0 & aElementOf0(all_44_3, xS) = v1 & ( ~
% 17.27/3.15 | | | (v1 = 0) | ~ (v0 = 0)))
% 17.27/3.15 | | |
% 17.27/3.15 | | | GROUND_INST: instantiating (18) with all_44_3, all_44_1, simplifying with
% 17.27/3.15 | | | (49), (52) gives:
% 17.27/3.15 | | | (56) all_44_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) & aElementOf0(all_44_3,
% 17.27/3.15 | | | xS) = v0)
% 17.27/3.15 | | |
% 17.27/3.15 | | | GROUND_INST: instantiating (44) with all_44_3, all_44_1, simplifying with
% 17.27/3.15 | | | (49), (52) gives:
% 17.27/3.15 | | | (57) ? [v0: any] : ? [v1: any] : (aElementOf0(all_44_3, all_14_0) =
% 17.27/3.15 | | | v0 & aElementOf0(all_44_3, all_14_1) = v1 & ( ~ (v0 = 0) |
% 17.27/3.15 | | | (all_44_1 = 0 & (v1 = 0 | all_44_3 = xx))))
% 17.27/3.15 | | |
% 17.27/3.15 | | | DELTA: instantiating (57) with fresh symbols all_51_0, all_51_1 gives:
% 17.27/3.15 | | | (58) aElementOf0(all_44_3, all_14_0) = all_51_1 & aElementOf0(all_44_3,
% 17.27/3.15 | | | all_14_1) = all_51_0 & ( ~ (all_51_1 = 0) | (all_44_1 = 0 &
% 17.27/3.15 | | | (all_51_0 = 0 | all_44_3 = xx)))
% 17.27/3.15 | | |
% 17.27/3.15 | | | ALPHA: (58) implies:
% 17.27/3.15 | | | (59) aElementOf0(all_44_3, all_14_1) = all_51_0
% 17.27/3.15 | | |
% 17.27/3.15 | | | GROUND_INST: instantiating (8) with all_44_0, all_51_0, all_14_1,
% 17.27/3.15 | | | all_44_3, simplifying with (51), (59) gives:
% 17.27/3.15 | | | (60) all_51_0 = all_44_0
% 17.27/3.15 | | |
% 17.27/3.15 | | | BETA: splitting (20) gives:
% 17.27/3.15 | | |
% 17.27/3.15 | | | Case 1:
% 17.27/3.15 | | | |
% 17.27/3.15 | | | | (61) ? [v0: any] : ? [v1: any] : (aSet0(xS) = v0 & aElement0(xx) =
% 17.27/3.15 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 17.27/3.15 | | | |
% 17.27/3.15 | | | | DELTA: instantiating (61) with fresh symbols all_94_0, all_94_1 gives:
% 17.27/3.15 | | | | (62) aSet0(xS) = all_94_1 & aElement0(xx) = all_94_0 & ( ~ (all_94_0
% 17.27/3.15 | | | | = 0) | ~ (all_94_1 = 0))
% 17.27/3.15 | | | |
% 17.27/3.15 | | | | ALPHA: (62) implies:
% 17.27/3.15 | | | | (63) aElement0(xx) = all_94_0
% 17.27/3.15 | | | | (64) aSet0(xS) = all_94_1
% 17.27/3.15 | | | | (65) ~ (all_94_0 = 0) | ~ (all_94_1 = 0)
% 17.27/3.15 | | | |
% 17.27/3.15 | | | | GROUND_INST: instantiating (7) with 0, all_94_1, xS, simplifying with
% 17.27/3.15 | | | | (1), (64) gives:
% 17.27/3.15 | | | | (66) all_94_1 = 0
% 17.27/3.15 | | | |
% 17.27/3.15 | | | | BETA: splitting (65) gives:
% 17.27/3.15 | | | |
% 17.27/3.15 | | | | Case 1:
% 17.27/3.15 | | | | |
% 17.27/3.15 | | | | | (67) ~ (all_94_0 = 0)
% 17.27/3.15 | | | | |
% 17.27/3.15 | | | | | GROUND_INST: instantiating (18) with xx, all_94_0, simplifying with
% 17.27/3.15 | | | | | (4), (63) gives:
% 17.27/3.15 | | | | | (68) all_94_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & aElementOf0(xx,
% 17.27/3.15 | | | | | xS) = v0)
% 17.27/3.15 | | | | |
% 17.27/3.15 | | | | | BETA: splitting (68) gives:
% 17.27/3.15 | | | | |
% 17.27/3.15 | | | | | Case 1:
% 17.27/3.15 | | | | | |
% 17.27/3.15 | | | | | | (69) all_94_0 = 0
% 17.27/3.15 | | | | | |
% 17.27/3.15 | | | | | | REDUCE: (67), (69) imply:
% 17.27/3.15 | | | | | | (70) $false
% 17.27/3.15 | | | | | |
% 17.27/3.15 | | | | | | CLOSE: (70) is inconsistent.
% 17.27/3.15 | | | | | |
% 17.27/3.15 | | | | | Case 2:
% 17.27/3.15 | | | | | |
% 17.27/3.15 | | | | | | (71) ? [v0: int] : ( ~ (v0 = 0) & aElementOf0(xx, xS) = v0)
% 17.27/3.15 | | | | | |
% 17.27/3.15 | | | | | | DELTA: instantiating (71) with fresh symbol all_115_0 gives:
% 17.27/3.15 | | | | | | (72) ~ (all_115_0 = 0) & aElementOf0(xx, xS) = all_115_0
% 17.27/3.15 | | | | | |
% 17.27/3.15 | | | | | | ALPHA: (72) implies:
% 17.27/3.15 | | | | | | (73) ~ (all_115_0 = 0)
% 17.27/3.15 | | | | | | (74) aElementOf0(xx, xS) = all_115_0
% 17.27/3.15 | | | | | |
% 17.27/3.15 | | | | | | GROUND_INST: instantiating (8) with 0, all_115_0, xS, xx,
% 17.27/3.15 | | | | | | simplifying with (2), (74) gives:
% 17.27/3.15 | | | | | | (75) all_115_0 = 0
% 17.27/3.15 | | | | | |
% 17.65/3.15 | | | | | | REDUCE: (73), (75) imply:
% 17.65/3.15 | | | | | | (76) $false
% 17.65/3.15 | | | | | |
% 17.65/3.15 | | | | | | CLOSE: (76) is inconsistent.
% 17.65/3.15 | | | | | |
% 17.65/3.15 | | | | | End of split
% 17.65/3.15 | | | | |
% 17.65/3.15 | | | | Case 2:
% 17.65/3.15 | | | | |
% 17.65/3.15 | | | | | (77) ~ (all_94_1 = 0)
% 17.65/3.15 | | | | |
% 17.65/3.15 | | | | | REDUCE: (66), (77) imply:
% 17.65/3.15 | | | | | (78) $false
% 17.65/3.15 | | | | |
% 17.65/3.15 | | | | | CLOSE: (78) is inconsistent.
% 17.65/3.15 | | | | |
% 17.65/3.15 | | | | End of split
% 17.65/3.15 | | | |
% 17.65/3.15 | | | Case 2:
% 17.65/3.15 | | | |
% 17.65/3.15 | | | | (79) ! [v0: any] : (v0 = all_14_1 | ~ (aSet0(v0) = 0) | ~ $i(v0) |
% 17.65/3.15 | | | | ? [v1: $i] : ? [v2: any] : ? [v3: any] : ? [v4: any] :
% 17.65/3.15 | | | | (aElement0(v1) = v3 & aElementOf0(v1, v0) = v2 &
% 17.65/3.15 | | | | aElementOf0(v1, xS) = v4 & $i(v1) & ( ~ (v4 = 0) | ~ (v3 =
% 17.65/3.16 | | | | 0) | ~ (v2 = 0) | v1 = xx) & (v2 = 0 | (v4 = 0 & v3 = 0
% 17.65/3.16 | | | | & ~ (v1 = xx))))) & ! [v0: any] : ( ~ (aSet0(all_14_1)
% 17.65/3.16 | | | | = v0) | ~ $i(all_14_1) | (v0 = 0 & ! [v1: $i] : ! [v2:
% 17.65/3.16 | | | | any] : ( ~ (aElement0(v1) = v2) | ~ $i(v1) | ? [v3: any]
% 17.65/3.16 | | | | : ? [v4: any] : (aElementOf0(v1, all_14_1) = v3 &
% 17.65/3.16 | | | | aElementOf0(v1, xS) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 =
% 17.65/3.16 | | | | 0 & ~ (v1 = xx))))) & ! [v1: $i] : (v1 = xx | ~
% 17.65/3.16 | | | | (aElement0(v1) = 0) | ~ $i(v1) | ? [v2: any] : ? [v3:
% 17.65/3.16 | | | | any] : (aElementOf0(v1, all_14_1) = v3 & aElementOf0(v1,
% 17.65/3.16 | | | | xS) = v2 & ( ~ (v2 = 0) | v3 = 0)))))
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | ALPHA: (79) implies:
% 17.65/3.16 | | | | (80) ! [v0: any] : ( ~ (aSet0(all_14_1) = v0) | ~ $i(all_14_1) |
% 17.65/3.16 | | | | (v0 = 0 & ! [v1: $i] : ! [v2: any] : ( ~ (aElement0(v1) =
% 17.65/3.16 | | | | v2) | ~ $i(v1) | ? [v3: any] : ? [v4: any] :
% 17.65/3.16 | | | | (aElementOf0(v1, all_14_1) = v3 & aElementOf0(v1, xS) = v4
% 17.65/3.16 | | | | & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0 & ~ (v1 = xx))))) &
% 17.65/3.16 | | | | ! [v1: $i] : (v1 = xx | ~ (aElement0(v1) = 0) | ~ $i(v1) |
% 17.65/3.16 | | | | ? [v2: any] : ? [v3: any] : (aElementOf0(v1, all_14_1) =
% 17.65/3.16 | | | | v3 & aElementOf0(v1, xS) = v2 & ( ~ (v2 = 0) | v3 =
% 17.65/3.16 | | | | 0)))))
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | GROUND_INST: instantiating (80) with 0, simplifying with (11), (13)
% 17.65/3.16 | | | | gives:
% 17.65/3.16 | | | | (81) ! [v0: $i] : ! [v1: any] : ( ~ (aElement0(v0) = v1) | ~
% 17.65/3.16 | | | | $i(v0) | ? [v2: any] : ? [v3: any] : (aElementOf0(v0,
% 17.65/3.16 | | | | all_14_1) = v2 & aElementOf0(v0, xS) = v3 & ( ~ (v2 = 0) |
% 17.65/3.16 | | | | (v3 = 0 & v1 = 0 & ~ (v0 = xx))))) & ! [v0: $i] : (v0 =
% 17.65/3.16 | | | | xx | ~ (aElement0(v0) = 0) | ~ $i(v0) | ? [v1: any] : ?
% 17.65/3.16 | | | | [v2: any] : (aElementOf0(v0, all_14_1) = v2 & aElementOf0(v0,
% 17.65/3.16 | | | | xS) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | ALPHA: (81) implies:
% 17.65/3.16 | | | | (82) ! [v0: $i] : ! [v1: any] : ( ~ (aElement0(v0) = v1) | ~
% 17.65/3.16 | | | | $i(v0) | ? [v2: any] : ? [v3: any] : (aElementOf0(v0,
% 17.65/3.16 | | | | all_14_1) = v2 & aElementOf0(v0, xS) = v3 & ( ~ (v2 = 0) |
% 17.65/3.16 | | | | (v3 = 0 & v1 = 0 & ~ (v0 = xx)))))
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | GROUND_INST: instantiating (82) with all_44_3, all_44_1, simplifying
% 17.65/3.16 | | | | with (49), (52) gives:
% 17.65/3.16 | | | | (83) ? [v0: any] : ? [v1: any] : (aElementOf0(all_44_3, all_14_1) =
% 17.65/3.16 | | | | v0 & aElementOf0(all_44_3, xS) = v1 & ( ~ (v0 = 0) | (v1 = 0 &
% 17.65/3.16 | | | | all_44_1 = 0 & ~ (all_44_3 = xx))))
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | DELTA: instantiating (83) with fresh symbols all_98_0, all_98_1 gives:
% 17.65/3.16 | | | | (84) aElementOf0(all_44_3, all_14_1) = all_98_1 &
% 17.65/3.16 | | | | aElementOf0(all_44_3, xS) = all_98_0 & ( ~ (all_98_1 = 0) |
% 17.65/3.16 | | | | (all_98_0 = 0 & all_44_1 = 0 & ~ (all_44_3 = xx)))
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | ALPHA: (84) implies:
% 17.65/3.16 | | | | (85) aElementOf0(all_44_3, xS) = all_98_0
% 17.65/3.16 | | | | (86) aElementOf0(all_44_3, all_14_1) = all_98_1
% 17.65/3.16 | | | | (87) ~ (all_98_1 = 0) | (all_98_0 = 0 & all_44_1 = 0 & ~ (all_44_3
% 17.65/3.16 | | | | = xx))
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | GROUND_INST: instantiating (8) with all_44_2, all_98_0, xS, all_44_3,
% 17.65/3.16 | | | | simplifying with (50), (85) gives:
% 17.65/3.16 | | | | (88) all_98_0 = all_44_2
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | GROUND_INST: instantiating (8) with all_44_0, all_98_1, all_14_1,
% 17.65/3.16 | | | | all_44_3, simplifying with (51), (86) gives:
% 17.65/3.16 | | | | (89) all_98_1 = all_44_0
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | BETA: splitting (53) gives:
% 17.65/3.16 | | | |
% 17.65/3.16 | | | | Case 1:
% 17.65/3.16 | | | | |
% 17.65/3.16 | | | | | (90) all_44_2 = 0
% 17.65/3.16 | | | | |
% 17.65/3.16 | | | | | REDUCE: (50), (90) imply:
% 17.65/3.16 | | | | | (91) aElementOf0(all_44_3, xS) = 0
% 17.65/3.16 | | | | |
% 17.65/3.16 | | | | | BETA: splitting (56) gives:
% 17.65/3.16 | | | | |
% 17.65/3.16 | | | | | Case 1:
% 17.65/3.16 | | | | | |
% 17.65/3.16 | | | | | | (92) all_44_1 = 0
% 17.65/3.16 | | | | | |
% 17.65/3.16 | | | | | | REDUCE: (52), (92) imply:
% 17.65/3.16 | | | | | | (93) aElement0(all_44_3) = 0
% 17.65/3.16 | | | | | |
% 17.65/3.16 | | | | | | BETA: splitting (54) gives:
% 17.65/3.16 | | | | | |
% 17.65/3.16 | | | | | | Case 1:
% 17.65/3.16 | | | | | | |
% 17.65/3.16 | | | | | | | (94) ~ (all_44_1 = 0)
% 17.65/3.16 | | | | | | |
% 17.65/3.16 | | | | | | | REDUCE: (92), (94) imply:
% 17.65/3.16 | | | | | | | (95) $false
% 17.65/3.16 | | | | | | |
% 17.65/3.16 | | | | | | | CLOSE: (95) is inconsistent.
% 17.65/3.16 | | | | | | |
% 17.65/3.16 | | | | | | Case 2:
% 17.65/3.16 | | | | | | |
% 17.65/3.16 | | | | | | | (96) ~ (all_44_2 = 0) | ( ~ (all_44_0 = 0) & ~ (all_44_3 =
% 17.65/3.16 | | | | | | | xx))
% 17.65/3.16 | | | | | | |
% 17.65/3.16 | | | | | | | BETA: splitting (96) gives:
% 17.65/3.16 | | | | | | |
% 17.65/3.16 | | | | | | | Case 1:
% 17.65/3.16 | | | | | | | |
% 17.65/3.16 | | | | | | | | (97) ~ (all_44_2 = 0)
% 17.65/3.16 | | | | | | | |
% 17.65/3.16 | | | | | | | | REDUCE: (90), (97) imply:
% 17.65/3.16 | | | | | | | | (98) $false
% 17.65/3.16 | | | | | | | |
% 17.65/3.16 | | | | | | | | CLOSE: (98) is inconsistent.
% 17.65/3.16 | | | | | | | |
% 17.65/3.16 | | | | | | | Case 2:
% 17.65/3.16 | | | | | | | |
% 17.65/3.16 | | | | | | | | (99) ~ (all_44_0 = 0) & ~ (all_44_3 = xx)
% 17.65/3.16 | | | | | | | |
% 17.65/3.16 | | | | | | | | ALPHA: (99) implies:
% 17.65/3.16 | | | | | | | | (100) ~ (all_44_3 = xx)
% 17.65/3.16 | | | | | | | | (101) ~ (all_44_0 = 0)
% 17.65/3.16 | | | | | | | |
% 17.65/3.16 | | | | | | | | BETA: splitting (55) gives:
% 17.65/3.16 | | | | | | | |
% 17.65/3.16 | | | | | | | | Case 1:
% 17.65/3.16 | | | | | | | | |
% 17.65/3.16 | | | | | | | | | (102) all_44_3 = xx
% 17.65/3.16 | | | | | | | | |
% 17.65/3.16 | | | | | | | | | REDUCE: (100), (102) imply:
% 17.65/3.16 | | | | | | | | | (103) $false
% 17.65/3.16 | | | | | | | | |
% 17.65/3.16 | | | | | | | | | CLOSE: (103) is inconsistent.
% 17.65/3.16 | | | | | | | | |
% 17.65/3.16 | | | | | | | | Case 2:
% 17.65/3.16 | | | | | | | | |
% 17.65/3.16 | | | | | | | | | (104) all_44_0 = 0 | ? [v0: any] : ? [v1: any] :
% 17.65/3.16 | | | | | | | | | (aElement0(all_44_3) = v0 & aElementOf0(all_44_3, xS)
% 17.65/3.16 | | | | | | | | | = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 17.65/3.16 | | | | | | | | |
% 17.65/3.16 | | | | | | | | | BETA: splitting (104) gives:
% 17.65/3.16 | | | | | | | | |
% 17.65/3.16 | | | | | | | | | Case 1:
% 17.65/3.16 | | | | | | | | | |
% 17.65/3.16 | | | | | | | | | | (105) all_44_0 = 0
% 17.65/3.16 | | | | | | | | | |
% 17.65/3.16 | | | | | | | | | | REDUCE: (101), (105) imply:
% 17.65/3.16 | | | | | | | | | | (106) $false
% 17.65/3.16 | | | | | | | | | |
% 17.65/3.16 | | | | | | | | | | CLOSE: (106) is inconsistent.
% 17.65/3.16 | | | | | | | | | |
% 17.65/3.16 | | | | | | | | | Case 2:
% 17.65/3.16 | | | | | | | | | |
% 17.65/3.16 | | | | | | | | | | (107) ? [v0: any] : ? [v1: any] : (aElement0(all_44_3)
% 17.65/3.16 | | | | | | | | | | = v0 & aElementOf0(all_44_3, xS) = v1 & ( ~ (v1 =
% 17.65/3.16 | | | | | | | | | | 0) | ~ (v0 = 0)))
% 17.65/3.16 | | | | | | | | | |
% 17.65/3.16 | | | | | | | | | | DELTA: instantiating (107) with fresh symbols all_222_0,
% 17.65/3.16 | | | | | | | | | | all_222_1 gives:
% 17.65/3.16 | | | | | | | | | | (108) aElement0(all_44_3) = all_222_1 &
% 17.65/3.16 | | | | | | | | | | aElementOf0(all_44_3, xS) = all_222_0 & ( ~
% 17.65/3.16 | | | | | | | | | | (all_222_0 = 0) | ~ (all_222_1 = 0))
% 17.65/3.16 | | | | | | | | | |
% 17.65/3.16 | | | | | | | | | | ALPHA: (108) implies:
% 17.65/3.17 | | | | | | | | | | (109) aElementOf0(all_44_3, xS) = all_222_0
% 17.65/3.17 | | | | | | | | | | (110) aElement0(all_44_3) = all_222_1
% 17.65/3.17 | | | | | | | | | | (111) ~ (all_222_0 = 0) | ~ (all_222_1 = 0)
% 17.65/3.17 | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_222_0, xS, all_44_3,
% 17.65/3.17 | | | | | | | | | | simplifying with (91), (109) gives:
% 17.65/3.17 | | | | | | | | | | (112) all_222_0 = 0
% 17.65/3.17 | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | GROUND_INST: instantiating (6) with 0, all_222_1, all_44_3,
% 17.65/3.17 | | | | | | | | | | simplifying with (93), (110) gives:
% 17.65/3.17 | | | | | | | | | | (113) all_222_1 = 0
% 17.65/3.17 | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | BETA: splitting (111) gives:
% 17.65/3.17 | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | Case 1:
% 17.65/3.17 | | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | | (114) ~ (all_222_0 = 0)
% 17.65/3.17 | | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | | REDUCE: (112), (114) imply:
% 17.65/3.17 | | | | | | | | | | | (115) $false
% 17.65/3.17 | | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | | CLOSE: (115) is inconsistent.
% 17.65/3.17 | | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | Case 2:
% 17.65/3.17 | | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | | (116) ~ (all_222_1 = 0)
% 17.65/3.17 | | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | | REDUCE: (113), (116) imply:
% 17.65/3.17 | | | | | | | | | | | (117) $false
% 17.65/3.17 | | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | | CLOSE: (117) is inconsistent.
% 17.65/3.17 | | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | | End of split
% 17.65/3.17 | | | | | | | | | |
% 17.65/3.17 | | | | | | | | | End of split
% 17.65/3.17 | | | | | | | | |
% 17.65/3.17 | | | | | | | | End of split
% 17.65/3.17 | | | | | | | |
% 17.65/3.17 | | | | | | | End of split
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | End of split
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | Case 2:
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | (118) ? [v0: int] : ( ~ (v0 = 0) & aElementOf0(all_44_3, xS) =
% 17.65/3.17 | | | | | | v0)
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | DELTA: instantiating (118) with fresh symbol all_202_0 gives:
% 17.65/3.17 | | | | | | (119) ~ (all_202_0 = 0) & aElementOf0(all_44_3, xS) = all_202_0
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | ALPHA: (119) implies:
% 17.65/3.17 | | | | | | (120) ~ (all_202_0 = 0)
% 17.65/3.17 | | | | | | (121) aElementOf0(all_44_3, xS) = all_202_0
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | GROUND_INST: instantiating (8) with 0, all_202_0, xS, all_44_3,
% 17.65/3.17 | | | | | | simplifying with (91), (121) gives:
% 17.65/3.17 | | | | | | (122) all_202_0 = 0
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | REDUCE: (120), (122) imply:
% 17.65/3.17 | | | | | | (123) $false
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | CLOSE: (123) is inconsistent.
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | End of split
% 17.65/3.17 | | | | |
% 17.65/3.17 | | | | Case 2:
% 17.65/3.17 | | | | |
% 17.65/3.17 | | | | | (124) ~ (all_44_2 = 0)
% 17.65/3.17 | | | | | (125) all_44_1 = 0 & (all_44_0 = 0 | all_44_3 = xx)
% 17.65/3.17 | | | | |
% 17.65/3.17 | | | | | ALPHA: (125) implies:
% 17.65/3.17 | | | | | (126) all_44_0 = 0 | all_44_3 = xx
% 17.65/3.17 | | | | |
% 17.65/3.17 | | | | | BETA: splitting (87) gives:
% 17.65/3.17 | | | | |
% 17.65/3.17 | | | | | Case 1:
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | (127) ~ (all_98_1 = 0)
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | REDUCE: (89), (127) imply:
% 17.65/3.17 | | | | | | (128) ~ (all_44_0 = 0)
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | BETA: splitting (126) gives:
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | Case 1:
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | | (129) all_44_3 = xx
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | | REDUCE: (50), (129) imply:
% 17.65/3.17 | | | | | | | (130) aElementOf0(xx, xS) = all_44_2
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | | GROUND_INST: instantiating (8) with 0, all_44_2, xS, xx,
% 17.65/3.17 | | | | | | | simplifying with (2), (130) gives:
% 17.65/3.17 | | | | | | | (131) all_44_2 = 0
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | | REDUCE: (124), (131) imply:
% 17.65/3.17 | | | | | | | (132) $false
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | | CLOSE: (132) is inconsistent.
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | Case 2:
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | | (133) all_44_0 = 0
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | | REDUCE: (128), (133) imply:
% 17.65/3.17 | | | | | | | (134) $false
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | | CLOSE: (134) is inconsistent.
% 17.65/3.17 | | | | | | |
% 17.65/3.17 | | | | | | End of split
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | Case 2:
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | (135) all_98_0 = 0 & all_44_1 = 0 & ~ (all_44_3 = xx)
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | ALPHA: (135) implies:
% 17.65/3.17 | | | | | | (136) all_98_0 = 0
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | COMBINE_EQS: (88), (136) imply:
% 17.65/3.17 | | | | | | (137) all_44_2 = 0
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | REDUCE: (124), (137) imply:
% 17.65/3.17 | | | | | | (138) $false
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | | CLOSE: (138) is inconsistent.
% 17.65/3.17 | | | | | |
% 17.65/3.17 | | | | | End of split
% 17.65/3.17 | | | | |
% 17.65/3.17 | | | | End of split
% 17.65/3.17 | | | |
% 17.65/3.17 | | | End of split
% 17.65/3.17 | | |
% 17.65/3.17 | | End of split
% 17.65/3.17 | |
% 17.65/3.17 | End of split
% 17.65/3.17 |
% 17.65/3.17 End of proof
% 17.65/3.17 % SZS output end Proof for theBenchmark
% 17.65/3.17
% 17.65/3.17 2540ms
%------------------------------------------------------------------------------