TSTP Solution File: SWC023+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWC023+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n022.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 20:49:14 EDT 2023
% Result : Theorem 22.83s 3.83s
% Output : Proof 53.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC023+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n022.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 : Mon Aug 28 16:16:09 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
% 0.19/0.62
% 0.19/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.63/0.64 Running up to 7 provers in parallel.
% 0.63/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.63/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.63/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.63/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.63/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.63/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.63/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.87/1.39 Prover 4: Preprocessing ...
% 4.87/1.39 Prover 1: Preprocessing ...
% 4.87/1.42 Prover 2: Preprocessing ...
% 4.87/1.42 Prover 5: Preprocessing ...
% 4.87/1.42 Prover 0: Preprocessing ...
% 4.87/1.42 Prover 3: Preprocessing ...
% 4.87/1.42 Prover 6: Preprocessing ...
% 14.27/2.67 Prover 1: Constructing countermodel ...
% 14.27/2.68 Prover 2: Proving ...
% 14.88/2.72 Prover 5: Constructing countermodel ...
% 14.88/2.76 Prover 6: Proving ...
% 15.37/2.78 Prover 3: Constructing countermodel ...
% 19.55/3.39 Prover 4: Constructing countermodel ...
% 20.17/3.45 Prover 0: Proving ...
% 22.83/3.83 Prover 3: proved (3170ms)
% 22.83/3.83
% 22.83/3.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.83/3.83
% 23.48/3.85 Prover 5: stopped
% 23.48/3.85 Prover 2: stopped
% 23.48/3.85 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 23.48/3.85 Prover 0: proved (3210ms)
% 23.48/3.85
% 23.48/3.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.48/3.85
% 23.48/3.86 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 23.48/3.86 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 23.48/3.86 Prover 6: stopped
% 23.48/3.86 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 23.48/3.86 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 24.18/4.00 Prover 11: Preprocessing ...
% 24.74/4.04 Prover 7: Preprocessing ...
% 25.13/4.08 Prover 13: Preprocessing ...
% 25.13/4.10 Prover 10: Preprocessing ...
% 25.13/4.12 Prover 8: Preprocessing ...
% 26.35/4.25 Prover 7: Constructing countermodel ...
% 26.35/4.30 Prover 10: Constructing countermodel ...
% 27.81/4.43 Prover 13: Constructing countermodel ...
% 28.03/4.50 Prover 8: Warning: ignoring some quantifiers
% 28.03/4.52 Prover 8: Constructing countermodel ...
% 33.68/5.23 Prover 11: Constructing countermodel ...
% 52.97/7.67 Prover 1: Found proof (size 88)
% 52.97/7.67 Prover 1: proved (7030ms)
% 52.97/7.68 Prover 7: stopped
% 52.97/7.68 Prover 8: stopped
% 52.97/7.68 Prover 13: stopped
% 52.97/7.68 Prover 11: stopped
% 52.97/7.68 Prover 4: stopped
% 52.97/7.69 Prover 10: stopped
% 52.97/7.69
% 52.97/7.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.97/7.69
% 52.97/7.69 % SZS output start Proof for theBenchmark
% 52.97/7.70 Assumptions after simplification:
% 52.97/7.70 ---------------------------------
% 52.97/7.70
% 52.97/7.70 (ax15)
% 53.23/7.72 ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ! [v2: any] :
% 53.23/7.72 ( ~ (neq(v0, v1) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) &
% 53.23/7.72 ssList(v1) = v3) | (( ~ (v2 = 0) | ~ (v1 = v0)) & (v2 = 0 | v1 = v0))))
% 53.23/7.72
% 53.23/7.72 (ax42)
% 53.23/7.73 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ~ $i(v0)
% 53.23/7.73 | ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 53.23/7.73
% 53.23/7.73 (ax5)
% 53.23/7.73 ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ! [v2: any] :
% 53.23/7.73 ( ~ (frontsegP(v0, v1) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) &
% 53.23/7.73 ssList(v1) = v3) | (( ~ (v2 = 0) | ? [v3: $i] : (ssList(v3) = 0 &
% 53.23/7.73 app(v1, v3) = v0 & $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (app(v1,
% 53.23/7.73 v3) = v0) | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & ssList(v3)
% 53.23/7.73 = v4))))))
% 53.23/7.73
% 53.23/7.73 (co1)
% 53.23/7.73 $i(nil) & ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: $i] : (ssList(v1) =
% 53.23/7.73 0 & neq(v1, nil) = 0 & $i(v1) & ! [v2: $i] : ( ~ (neq(v2, nil) = 0) | ~
% 53.23/7.73 $i(v2) | ? [v3: any] : ? [v4: any] : ? [v5: any] : (frontsegP(v1, v2)
% 53.23/7.73 = v4 & frontsegP(v0, v2) = v5 & ssList(v2) = v3 & ( ~ (v5 = 0) | ~
% 53.23/7.73 (v4 = 0) | ~ (v3 = 0)))) & ( ? [v2: $i] : (frontsegP(v1, v2) = 0 &
% 53.23/7.73 frontsegP(v0, v2) = 0 & ssList(v2) = 0 & neq(v2, nil) = 0 & $i(v2)) |
% 53.23/7.73 (v1 = nil & v0 = nil))))
% 53.23/7.73
% 53.23/7.73 (function-axioms)
% 53.23/7.74 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 53.23/7.74 [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0:
% 53.23/7.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 53.23/7.74 : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0:
% 53.23/7.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 53.23/7.74 : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0:
% 53.23/7.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 53.23/7.74 : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0:
% 53.23/7.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 53.23/7.74 : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & !
% 53.23/7.74 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 53.23/7.74 $i] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) &
% 53.23/7.74 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 53.23/7.74 $i] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0))
% 53.23/7.74 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 53.23/7.74 [v3: $i] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) &
% 53.23/7.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 53.23/7.74 (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 53.23/7.74 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2)
% 53.23/7.74 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 53.23/7.74 $i] : ! [v3: $i] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) =
% 53.23/7.74 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tl(v2) =
% 53.23/7.74 v1) | ~ (tl(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 53.23/7.74 v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 53.23/7.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (equalelemsP(v2) = v1) |
% 53.23/7.74 ~ (equalelemsP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 53.23/7.74 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) |
% 53.23/7.74 ~ (duplicatefreeP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 53.23/7.74 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (strictorderedP(v2) = v1) |
% 53.23/7.74 ~ (strictorderedP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 53.23/7.74 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (totalorderedP(v2) = v1) |
% 53.23/7.74 ~ (totalorderedP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 53.23/7.74 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (strictorderP(v2) = v1) |
% 53.23/7.74 ~ (strictorderP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 53.23/7.74 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~
% 53.23/7.74 (totalorderP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 53.23/7.74 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~
% 53.23/7.74 (cyclefreeP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 53.23/7.74 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~
% 53.23/7.74 (singletonP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 53.23/7.74 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ssList(v2) = v1) | ~
% 53.23/7.74 (ssList(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 53.23/7.74 : ! [v2: $i] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0))
% 53.23/7.74
% 53.23/7.74 Further assumptions not needed in the proof:
% 53.23/7.74 --------------------------------------------
% 53.23/7.74 ax1, ax10, ax11, ax12, ax13, ax14, ax16, ax17, ax18, ax19, ax2, ax20, ax21,
% 53.23/7.74 ax22, ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32, ax33,
% 53.23/7.74 ax34, ax35, ax36, ax37, ax38, ax39, ax4, ax40, ax41, ax43, ax44, ax45, ax46,
% 53.23/7.74 ax47, ax48, ax49, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57, ax58, ax59,
% 53.23/7.74 ax6, ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69, ax7, ax70,
% 53.23/7.74 ax71, ax72, ax73, ax74, ax75, ax76, ax77, ax78, ax79, ax8, ax80, ax81, ax82,
% 53.23/7.74 ax83, ax84, ax85, ax86, ax87, ax88, ax89, ax9, ax90, ax91, ax92, ax93, ax94,
% 53.23/7.74 ax95
% 53.23/7.74
% 53.23/7.74 Those formulas are unsatisfiable:
% 53.23/7.74 ---------------------------------
% 53.23/7.74
% 53.23/7.74 Begin of proof
% 53.23/7.74 |
% 53.23/7.74 | ALPHA: (co1) implies:
% 53.40/7.74 | (1) $i(nil)
% 53.40/7.74 | (2) ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: $i] : (ssList(v1) = 0
% 53.40/7.74 | & neq(v1, nil) = 0 & $i(v1) & ! [v2: $i] : ( ~ (neq(v2, nil) = 0)
% 53.40/7.74 | | ~ $i(v2) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 53.40/7.74 | (frontsegP(v1, v2) = v4 & frontsegP(v0, v2) = v5 & ssList(v2) =
% 53.40/7.74 | v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))) & ( ? [v2: $i]
% 53.40/7.75 | : (frontsegP(v1, v2) = 0 & frontsegP(v0, v2) = 0 & ssList(v2) = 0
% 53.40/7.75 | & neq(v2, nil) = 0 & $i(v2)) | (v1 = nil & v0 = nil))))
% 53.40/7.75 |
% 53.40/7.75 | ALPHA: (function-axioms) implies:
% 53.40/7.75 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 53.40/7.75 | (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0))
% 53.40/7.75 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 53.40/7.75 | ! [v3: $i] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~
% 53.40/7.75 | (frontsegP(v3, v2) = v0))
% 53.40/7.75 |
% 53.40/7.75 | DELTA: instantiating (2) with fresh symbol all_93_0 gives:
% 53.40/7.75 | (5) ssList(all_93_0) = 0 & $i(all_93_0) & ? [v0: $i] : (ssList(v0) = 0 &
% 53.40/7.75 | neq(v0, nil) = 0 & $i(v0) & ! [v1: $i] : ( ~ (neq(v1, nil) = 0) | ~
% 53.40/7.75 | $i(v1) | ? [v2: any] : ? [v3: any] : ? [v4: any] :
% 53.40/7.75 | (frontsegP(v0, v1) = v3 & frontsegP(all_93_0, v1) = v4 & ssList(v1)
% 53.40/7.75 | = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) & ( ? [v1: $i]
% 53.40/7.75 | : (frontsegP(v0, v1) = 0 & frontsegP(all_93_0, v1) = 0 & ssList(v1)
% 53.40/7.75 | = 0 & neq(v1, nil) = 0 & $i(v1)) | (v0 = nil & all_93_0 = nil)))
% 53.40/7.75 |
% 53.40/7.75 | ALPHA: (5) implies:
% 53.40/7.75 | (6) $i(all_93_0)
% 53.40/7.75 | (7) ssList(all_93_0) = 0
% 53.40/7.75 | (8) ? [v0: $i] : (ssList(v0) = 0 & neq(v0, nil) = 0 & $i(v0) & ! [v1: $i]
% 53.40/7.75 | : ( ~ (neq(v1, nil) = 0) | ~ $i(v1) | ? [v2: any] : ? [v3: any] :
% 53.40/7.75 | ? [v4: any] : (frontsegP(v0, v1) = v3 & frontsegP(all_93_0, v1) =
% 53.40/7.75 | v4 & ssList(v1) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 =
% 53.40/7.75 | 0)))) & ( ? [v1: $i] : (frontsegP(v0, v1) = 0 &
% 53.40/7.75 | frontsegP(all_93_0, v1) = 0 & ssList(v1) = 0 & neq(v1, nil) = 0 &
% 53.40/7.75 | $i(v1)) | (v0 = nil & all_93_0 = nil)))
% 53.40/7.75 |
% 53.40/7.75 | DELTA: instantiating (8) with fresh symbol all_97_0 gives:
% 53.40/7.75 | (9) ssList(all_97_0) = 0 & neq(all_97_0, nil) = 0 & $i(all_97_0) & ! [v0:
% 53.40/7.75 | $i] : ( ~ (neq(v0, nil) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2:
% 53.40/7.75 | any] : ? [v3: any] : (frontsegP(all_97_0, v0) = v2 &
% 53.40/7.75 | frontsegP(all_93_0, v0) = v3 & ssList(v0) = v1 & ( ~ (v3 = 0) | ~
% 53.40/7.75 | (v2 = 0) | ~ (v1 = 0)))) & ( ? [v0: $i] : (frontsegP(all_97_0,
% 53.40/7.75 | v0) = 0 & frontsegP(all_93_0, v0) = 0 & ssList(v0) = 0 & neq(v0,
% 53.40/7.75 | nil) = 0 & $i(v0)) | (all_97_0 = nil & all_93_0 = nil))
% 53.40/7.75 |
% 53.40/7.75 | ALPHA: (9) implies:
% 53.40/7.75 | (10) $i(all_97_0)
% 53.40/7.75 | (11) neq(all_97_0, nil) = 0
% 53.40/7.75 | (12) ssList(all_97_0) = 0
% 53.40/7.75 | (13) ? [v0: $i] : (frontsegP(all_97_0, v0) = 0 & frontsegP(all_93_0, v0) =
% 53.40/7.75 | 0 & ssList(v0) = 0 & neq(v0, nil) = 0 & $i(v0)) | (all_97_0 = nil &
% 53.40/7.75 | all_93_0 = nil)
% 53.40/7.75 | (14) ! [v0: $i] : ( ~ (neq(v0, nil) = 0) | ~ $i(v0) | ? [v1: any] : ?
% 53.40/7.75 | [v2: any] : ? [v3: any] : (frontsegP(all_97_0, v0) = v2 &
% 53.40/7.75 | frontsegP(all_93_0, v0) = v3 & ssList(v0) = v1 & ( ~ (v3 = 0) | ~
% 53.40/7.75 | (v2 = 0) | ~ (v1 = 0))))
% 53.40/7.75 |
% 53.40/7.75 | GROUND_INST: instantiating (14) with all_97_0, simplifying with (10), (11)
% 53.40/7.75 | gives:
% 53.40/7.75 | (15) ? [v0: any] : ? [v1: any] : ? [v2: any] : (frontsegP(all_97_0,
% 53.40/7.75 | all_97_0) = v1 & frontsegP(all_93_0, all_97_0) = v2 &
% 53.40/7.75 | ssList(all_97_0) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 53.40/7.75 |
% 53.40/7.76 | GROUND_INST: instantiating (ax5) with all_93_0, simplifying with (6), (7)
% 53.40/7.76 | gives:
% 53.40/7.76 | (16) ! [v0: $i] : ! [v1: any] : ( ~ (frontsegP(all_93_0, v0) = v1) | ~
% 53.40/7.76 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 =
% 53.40/7.76 | 0) | ? [v2: $i] : (ssList(v2) = 0 & app(v0, v2) = all_93_0 &
% 53.40/7.76 | $i(v2))) & (v1 = 0 | ! [v2: $i] : ( ~ (app(v0, v2) =
% 53.40/7.76 | all_93_0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 53.40/7.76 | ssList(v2) = v3)))))
% 53.40/7.76 |
% 53.40/7.76 | GROUND_INST: instantiating (ax15) with all_97_0, simplifying with (10), (12)
% 53.40/7.76 | gives:
% 53.40/7.76 | (17) ! [v0: $i] : ! [v1: any] : ( ~ (neq(all_97_0, v0) = v1) | ~ $i(v0)
% 53.40/7.76 | | ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 = 0) |
% 53.40/7.76 | ~ (v0 = all_97_0)) & (v1 = 0 | v0 = all_97_0)))
% 53.40/7.76 |
% 53.40/7.76 | GROUND_INST: instantiating (17) with nil, 0, simplifying with (1) gives:
% 53.40/7.76 | (18) ~ (all_97_0 = nil) | ~ (neq(nil, nil) = 0) | ? [v0: int] : ( ~ (v0
% 53.40/7.76 | = 0) & ssList(nil) = v0)
% 53.40/7.76 |
% 53.40/7.76 | DELTA: instantiating (15) with fresh symbols all_240_0, all_240_1, all_240_2
% 53.40/7.76 | gives:
% 53.40/7.76 | (19) frontsegP(all_97_0, all_97_0) = all_240_1 & frontsegP(all_93_0,
% 53.40/7.76 | all_97_0) = all_240_0 & ssList(all_97_0) = all_240_2 & ( ~
% 53.40/7.76 | (all_240_0 = 0) | ~ (all_240_1 = 0) | ~ (all_240_2 = 0))
% 53.40/7.76 |
% 53.40/7.76 | ALPHA: (19) implies:
% 53.40/7.76 | (20) ssList(all_97_0) = all_240_2
% 53.40/7.76 | (21) frontsegP(all_93_0, all_97_0) = all_240_0
% 53.40/7.76 | (22) frontsegP(all_97_0, all_97_0) = all_240_1
% 53.40/7.76 | (23) ~ (all_240_0 = 0) | ~ (all_240_1 = 0) | ~ (all_240_2 = 0)
% 53.40/7.76 |
% 53.40/7.76 | GROUND_INST: instantiating (3) with 0, all_240_2, all_97_0, simplifying with
% 53.40/7.76 | (12), (20) gives:
% 53.40/7.76 | (24) all_240_2 = 0
% 53.40/7.76 |
% 53.40/7.76 | BETA: splitting (13) gives:
% 53.40/7.76 |
% 53.40/7.76 | Case 1:
% 53.40/7.76 | |
% 53.40/7.76 | | (25) ? [v0: $i] : (frontsegP(all_97_0, v0) = 0 & frontsegP(all_93_0, v0)
% 53.40/7.76 | | = 0 & ssList(v0) = 0 & neq(v0, nil) = 0 & $i(v0))
% 53.40/7.76 | |
% 53.40/7.76 | | DELTA: instantiating (25) with fresh symbol all_302_0 gives:
% 53.40/7.76 | | (26) frontsegP(all_97_0, all_302_0) = 0 & frontsegP(all_93_0, all_302_0)
% 53.40/7.76 | | = 0 & ssList(all_302_0) = 0 & neq(all_302_0, nil) = 0 &
% 53.40/7.76 | | $i(all_302_0)
% 53.40/7.76 | |
% 53.40/7.76 | | ALPHA: (26) implies:
% 53.40/7.76 | | (27) $i(all_302_0)
% 53.40/7.76 | | (28) neq(all_302_0, nil) = 0
% 53.40/7.76 | | (29) ssList(all_302_0) = 0
% 53.40/7.76 | | (30) frontsegP(all_93_0, all_302_0) = 0
% 53.40/7.76 | | (31) frontsegP(all_97_0, all_302_0) = 0
% 53.40/7.76 | |
% 53.40/7.76 | | GROUND_INST: instantiating (14) with all_302_0, simplifying with (27), (28)
% 53.40/7.76 | | gives:
% 53.40/7.76 | | (32) ? [v0: any] : ? [v1: any] : ? [v2: any] : (frontsegP(all_97_0,
% 53.40/7.76 | | all_302_0) = v1 & frontsegP(all_93_0, all_302_0) = v2 &
% 53.40/7.76 | | ssList(all_302_0) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 53.40/7.76 | | 0)))
% 53.40/7.76 | |
% 53.40/7.76 | | GROUND_INST: instantiating (16) with all_97_0, all_240_0, simplifying with
% 53.40/7.76 | | (10), (21) gives:
% 53.40/7.76 | | (33) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_97_0) = v0) | (( ~
% 53.40/7.76 | | (all_240_0 = 0) | ? [v0: $i] : (ssList(v0) = 0 & app(all_97_0,
% 53.40/7.76 | | v0) = all_93_0 & $i(v0))) & (all_240_0 = 0 | ! [v0: $i] : (
% 53.40/7.76 | | ~ (app(all_97_0, v0) = all_93_0) | ~ $i(v0) | ? [v1: int] :
% 53.40/7.76 | | ( ~ (v1 = 0) & ssList(v0) = v1))))
% 53.40/7.76 | |
% 53.40/7.76 | | GROUND_INST: instantiating (ax42) with all_97_0, all_240_1, simplifying with
% 53.40/7.76 | | (10), (22) gives:
% 53.40/7.76 | | (34) all_240_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ssList(all_97_0) = v0)
% 53.40/7.76 | |
% 53.40/7.76 | | DELTA: instantiating (32) with fresh symbols all_679_0, all_679_1, all_679_2
% 53.40/7.76 | | gives:
% 53.40/7.76 | | (35) frontsegP(all_97_0, all_302_0) = all_679_1 & frontsegP(all_93_0,
% 53.40/7.76 | | all_302_0) = all_679_0 & ssList(all_302_0) = all_679_2 & ( ~
% 53.40/7.76 | | (all_679_0 = 0) | ~ (all_679_1 = 0) | ~ (all_679_2 = 0))
% 53.40/7.76 | |
% 53.40/7.76 | | ALPHA: (35) implies:
% 53.40/7.76 | | (36) ssList(all_302_0) = all_679_2
% 53.40/7.76 | | (37) frontsegP(all_93_0, all_302_0) = all_679_0
% 53.40/7.76 | | (38) frontsegP(all_97_0, all_302_0) = all_679_1
% 53.40/7.77 | | (39) ~ (all_679_0 = 0) | ~ (all_679_1 = 0) | ~ (all_679_2 = 0)
% 53.40/7.77 | |
% 53.40/7.77 | | BETA: splitting (34) gives:
% 53.40/7.77 | |
% 53.40/7.77 | | Case 1:
% 53.40/7.77 | | |
% 53.40/7.77 | | | (40) all_240_1 = 0
% 53.40/7.77 | | |
% 53.40/7.77 | | | BETA: splitting (23) gives:
% 53.40/7.77 | | |
% 53.40/7.77 | | | Case 1:
% 53.40/7.77 | | | |
% 53.40/7.77 | | | | (41) ~ (all_240_0 = 0)
% 53.40/7.77 | | | |
% 53.40/7.77 | | | | BETA: splitting (33) gives:
% 53.40/7.77 | | | |
% 53.40/7.77 | | | | Case 1:
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | (42) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_97_0) = v0)
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | DELTA: instantiating (42) with fresh symbol all_724_0 gives:
% 53.40/7.77 | | | | | (43) ~ (all_724_0 = 0) & ssList(all_97_0) = all_724_0
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | ALPHA: (43) implies:
% 53.40/7.77 | | | | | (44) ~ (all_724_0 = 0)
% 53.40/7.77 | | | | | (45) ssList(all_97_0) = all_724_0
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | GROUND_INST: instantiating (3) with 0, all_724_0, all_97_0,
% 53.40/7.77 | | | | | simplifying with (12), (45) gives:
% 53.40/7.77 | | | | | (46) all_724_0 = 0
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | REDUCE: (44), (46) imply:
% 53.40/7.77 | | | | | (47) $false
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | CLOSE: (47) is inconsistent.
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | Case 2:
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | (48) ( ~ (all_240_0 = 0) | ? [v0: $i] : (ssList(v0) = 0 &
% 53.40/7.77 | | | | | app(all_97_0, v0) = all_93_0 & $i(v0))) & (all_240_0 = 0 |
% 53.40/7.77 | | | | | ! [v0: $i] : ( ~ (app(all_97_0, v0) = all_93_0) | ~ $i(v0)
% 53.40/7.77 | | | | | | ? [v1: int] : ( ~ (v1 = 0) & ssList(v0) = v1)))
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | ALPHA: (48) implies:
% 53.40/7.77 | | | | | (49) all_240_0 = 0 | ! [v0: $i] : ( ~ (app(all_97_0, v0) =
% 53.40/7.77 | | | | | all_93_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 53.40/7.77 | | | | | ssList(v0) = v1))
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | BETA: splitting (49) gives:
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | Case 1:
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | | (50) all_240_0 = 0
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | | REDUCE: (41), (50) imply:
% 53.40/7.77 | | | | | | (51) $false
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | | CLOSE: (51) is inconsistent.
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | Case 2:
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | | GROUND_INST: instantiating (3) with 0, all_679_2, all_302_0,
% 53.40/7.77 | | | | | | simplifying with (29), (36) gives:
% 53.40/7.77 | | | | | | (52) all_679_2 = 0
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | | GROUND_INST: instantiating (4) with 0, all_679_0, all_302_0,
% 53.40/7.77 | | | | | | all_93_0, simplifying with (30), (37) gives:
% 53.40/7.77 | | | | | | (53) all_679_0 = 0
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | | GROUND_INST: instantiating (4) with 0, all_679_1, all_302_0,
% 53.40/7.77 | | | | | | all_97_0, simplifying with (31), (38) gives:
% 53.40/7.77 | | | | | | (54) all_679_1 = 0
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | | BETA: splitting (39) gives:
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | | Case 1:
% 53.40/7.77 | | | | | | |
% 53.40/7.77 | | | | | | | (55) ~ (all_679_0 = 0)
% 53.40/7.77 | | | | | | |
% 53.40/7.77 | | | | | | | REDUCE: (53), (55) imply:
% 53.40/7.77 | | | | | | | (56) $false
% 53.40/7.77 | | | | | | |
% 53.40/7.77 | | | | | | | CLOSE: (56) is inconsistent.
% 53.40/7.77 | | | | | | |
% 53.40/7.77 | | | | | | Case 2:
% 53.40/7.77 | | | | | | |
% 53.40/7.77 | | | | | | | (57) ~ (all_679_1 = 0) | ~ (all_679_2 = 0)
% 53.40/7.77 | | | | | | |
% 53.40/7.77 | | | | | | | BETA: splitting (57) gives:
% 53.40/7.77 | | | | | | |
% 53.40/7.77 | | | | | | | Case 1:
% 53.40/7.77 | | | | | | | |
% 53.40/7.77 | | | | | | | | (58) ~ (all_679_1 = 0)
% 53.40/7.77 | | | | | | | |
% 53.40/7.77 | | | | | | | | REDUCE: (54), (58) imply:
% 53.40/7.77 | | | | | | | | (59) $false
% 53.40/7.77 | | | | | | | |
% 53.40/7.77 | | | | | | | | CLOSE: (59) is inconsistent.
% 53.40/7.77 | | | | | | | |
% 53.40/7.77 | | | | | | | Case 2:
% 53.40/7.77 | | | | | | | |
% 53.40/7.77 | | | | | | | | (60) ~ (all_679_2 = 0)
% 53.40/7.77 | | | | | | | |
% 53.40/7.77 | | | | | | | | REDUCE: (52), (60) imply:
% 53.40/7.77 | | | | | | | | (61) $false
% 53.40/7.77 | | | | | | | |
% 53.40/7.77 | | | | | | | | CLOSE: (61) is inconsistent.
% 53.40/7.77 | | | | | | | |
% 53.40/7.77 | | | | | | | End of split
% 53.40/7.77 | | | | | | |
% 53.40/7.77 | | | | | | End of split
% 53.40/7.77 | | | | | |
% 53.40/7.77 | | | | | End of split
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | End of split
% 53.40/7.77 | | | |
% 53.40/7.77 | | | Case 2:
% 53.40/7.77 | | | |
% 53.40/7.77 | | | | (62) ~ (all_240_1 = 0) | ~ (all_240_2 = 0)
% 53.40/7.77 | | | |
% 53.40/7.77 | | | | BETA: splitting (62) gives:
% 53.40/7.77 | | | |
% 53.40/7.77 | | | | Case 1:
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | (63) ~ (all_240_1 = 0)
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | REDUCE: (40), (63) imply:
% 53.40/7.77 | | | | | (64) $false
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | CLOSE: (64) is inconsistent.
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | Case 2:
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | (65) ~ (all_240_2 = 0)
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | REDUCE: (24), (65) imply:
% 53.40/7.77 | | | | | (66) $false
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | | CLOSE: (66) is inconsistent.
% 53.40/7.77 | | | | |
% 53.40/7.77 | | | | End of split
% 53.40/7.77 | | | |
% 53.40/7.77 | | | End of split
% 53.40/7.77 | | |
% 53.40/7.77 | | Case 2:
% 53.40/7.77 | | |
% 53.40/7.77 | | | (67) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_97_0) = v0)
% 53.40/7.77 | | |
% 53.40/7.77 | | | DELTA: instantiating (67) with fresh symbol all_709_0 gives:
% 53.40/7.77 | | | (68) ~ (all_709_0 = 0) & ssList(all_97_0) = all_709_0
% 53.40/7.77 | | |
% 53.40/7.77 | | | ALPHA: (68) implies:
% 53.40/7.77 | | | (69) ~ (all_709_0 = 0)
% 53.40/7.77 | | | (70) ssList(all_97_0) = all_709_0
% 53.40/7.77 | | |
% 53.40/7.77 | | | GROUND_INST: instantiating (3) with 0, all_709_0, all_97_0, simplifying
% 53.40/7.77 | | | with (12), (70) gives:
% 53.40/7.77 | | | (71) all_709_0 = 0
% 53.40/7.77 | | |
% 53.40/7.77 | | | REDUCE: (69), (71) imply:
% 53.40/7.77 | | | (72) $false
% 53.40/7.77 | | |
% 53.40/7.77 | | | CLOSE: (72) is inconsistent.
% 53.40/7.77 | | |
% 53.40/7.77 | | End of split
% 53.40/7.77 | |
% 53.40/7.77 | Case 2:
% 53.40/7.77 | |
% 53.40/7.78 | | (73) all_97_0 = nil & all_93_0 = nil
% 53.40/7.78 | |
% 53.40/7.78 | | ALPHA: (73) implies:
% 53.40/7.78 | | (74) all_93_0 = nil
% 53.40/7.78 | | (75) all_97_0 = nil
% 53.40/7.78 | |
% 53.40/7.78 | | REDUCE: (7), (74) imply:
% 53.40/7.78 | | (76) ssList(nil) = 0
% 53.40/7.78 | |
% 53.40/7.78 | | REDUCE: (11), (75) imply:
% 53.40/7.78 | | (77) neq(nil, nil) = 0
% 53.40/7.78 | |
% 53.40/7.78 | | BETA: splitting (18) gives:
% 53.40/7.78 | |
% 53.40/7.78 | | Case 1:
% 53.40/7.78 | | |
% 53.40/7.78 | | | (78) ~ (neq(nil, nil) = 0)
% 53.40/7.78 | | |
% 53.40/7.78 | | | PRED_UNIFY: (77), (78) imply:
% 53.40/7.78 | | | (79) $false
% 53.40/7.78 | | |
% 53.40/7.78 | | | CLOSE: (79) is inconsistent.
% 53.40/7.78 | | |
% 53.40/7.78 | | Case 2:
% 53.40/7.78 | | |
% 53.40/7.78 | | | (80) ~ (all_97_0 = nil) | ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) =
% 53.40/7.78 | | | v0)
% 53.40/7.78 | | |
% 53.40/7.78 | | | BETA: splitting (80) gives:
% 53.40/7.78 | | |
% 53.40/7.78 | | | Case 1:
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | (81) ~ (all_97_0 = nil)
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | REDUCE: (75), (81) imply:
% 53.40/7.78 | | | | (82) $false
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | CLOSE: (82) is inconsistent.
% 53.40/7.78 | | | |
% 53.40/7.78 | | | Case 2:
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | (83) ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | DELTA: instantiating (83) with fresh symbol all_275_0 gives:
% 53.40/7.78 | | | | (84) ~ (all_275_0 = 0) & ssList(nil) = all_275_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | ALPHA: (84) implies:
% 53.40/7.78 | | | | (85) ~ (all_275_0 = 0)
% 53.40/7.78 | | | | (86) ssList(nil) = all_275_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | DELTA: instantiating (83) with fresh symbol all_277_0 gives:
% 53.40/7.78 | | | | (87) ~ (all_277_0 = 0) & ssList(nil) = all_277_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | ALPHA: (87) implies:
% 53.40/7.78 | | | | (88) ssList(nil) = all_277_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | DELTA: instantiating (83) with fresh symbol all_279_0 gives:
% 53.40/7.78 | | | | (89) ~ (all_279_0 = 0) & ssList(nil) = all_279_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | ALPHA: (89) implies:
% 53.40/7.78 | | | | (90) ssList(nil) = all_279_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | GROUND_INST: instantiating (3) with 0, all_277_0, nil, simplifying with
% 53.40/7.78 | | | | (76), (88) gives:
% 53.40/7.78 | | | | (91) all_277_0 = 0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | GROUND_INST: instantiating (3) with all_277_0, all_279_0, nil,
% 53.40/7.78 | | | | simplifying with (88), (90) gives:
% 53.40/7.78 | | | | (92) all_279_0 = all_277_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | GROUND_INST: instantiating (3) with all_275_0, all_279_0, nil,
% 53.40/7.78 | | | | simplifying with (86), (90) gives:
% 53.40/7.78 | | | | (93) all_279_0 = all_275_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | COMBINE_EQS: (92), (93) imply:
% 53.40/7.78 | | | | (94) all_277_0 = all_275_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | SIMP: (94) implies:
% 53.40/7.78 | | | | (95) all_277_0 = all_275_0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | COMBINE_EQS: (91), (95) imply:
% 53.40/7.78 | | | | (96) all_275_0 = 0
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | REDUCE: (85), (96) imply:
% 53.40/7.78 | | | | (97) $false
% 53.40/7.78 | | | |
% 53.40/7.78 | | | | CLOSE: (97) is inconsistent.
% 53.40/7.78 | | | |
% 53.40/7.78 | | | End of split
% 53.40/7.78 | | |
% 53.40/7.78 | | End of split
% 53.40/7.78 | |
% 53.40/7.78 | End of split
% 53.40/7.78 |
% 53.40/7.78 End of proof
% 53.40/7.78 % SZS output end Proof for theBenchmark
% 53.40/7.78
% 53.40/7.78 7166ms
%------------------------------------------------------------------------------