%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWC210+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 : n008.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 20:50:15 EDT 2023 % Result : Theorem 22.28s 3.75s % Output : Proof 29.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC210+1 : TPTP v8.1.2. Released v2.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n008.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.35 % DateTime : Mon Aug 28 16:59:17 EDT 2023 % 0.14/0.35 % CPUTime : % 0.21/0.61 ________ _____ % 0.21/0.61 ___ __ \_________(_)________________________________ % 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.61 % 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.61 (2023-06-19) % 0.21/0.61 % 0.21/0.61 (c) Philipp Rümmer, 2009-2023 % 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.61 Amanda Stjerna. % 0.21/0.61 Free software under BSD-3-Clause. % 0.21/0.61 % 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.61 % 0.21/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 6.46/1.63 Prover 1: Preprocessing ... % 6.81/1.67 Prover 4: Preprocessing ... % 6.81/1.68 Prover 5: Preprocessing ... % 6.81/1.68 Prover 2: Preprocessing ... % 6.81/1.68 Prover 6: Preprocessing ... % 6.81/1.68 Prover 3: Preprocessing ... % 6.81/1.68 Prover 0: Preprocessing ... % 15.41/3.00 Prover 2: Proving ... % 15.41/3.01 Prover 5: Constructing countermodel ... % 17.09/3.04 Prover 6: Proving ... % 17.09/3.07 Prover 1: Constructing countermodel ... % 17.09/3.08 Prover 3: Constructing countermodel ... % 22.28/3.75 Prover 3: proved (3110ms) % 22.28/3.75 % 22.28/3.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 22.28/3.75 % 22.28/3.75 Prover 2: stopped % 22.28/3.76 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 22.28/3.76 Prover 6: stopped % 22.28/3.77 Prover 5: stopped % 22.28/3.78 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 22.28/3.78 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 22.28/3.78 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 22.28/3.79 Prover 4: Constructing countermodel ... % 23.45/3.91 Prover 10: Preprocessing ... % 23.45/3.94 Prover 7: Preprocessing ... % 23.45/3.97 Prover 8: Preprocessing ... % 24.21/3.98 Prover 11: Preprocessing ... % 24.55/4.08 Prover 0: Proving ... % 24.55/4.09 Prover 0: stopped % 25.07/4.11 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 25.68/4.22 Prover 13: Preprocessing ... % 25.68/4.23 Prover 10: Constructing countermodel ... % 26.42/4.30 Prover 7: Constructing countermodel ... % 26.42/4.45 Prover 1: Found proof (size 33) % 26.42/4.45 Prover 1: proved (3815ms) % 26.42/4.45 Prover 4: stopped % 26.42/4.45 Prover 7: stopped % 27.48/4.46 Prover 10: Found proof (size 11) % 27.48/4.46 Prover 10: proved (689ms) % 27.91/4.50 Prover 13: Constructing countermodel ... % 27.91/4.50 Prover 8: Warning: ignoring some quantifiers % 27.91/4.51 Prover 8: Constructing countermodel ... % 27.91/4.51 Prover 13: stopped % 28.01/4.52 Prover 8: stopped % 29.23/4.88 Prover 11: Constructing countermodel ... % 29.23/4.90 Prover 11: stopped % 29.23/4.90 % 29.23/4.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 29.23/4.90 % 29.23/4.91 % SZS output start Proof for theBenchmark % 29.23/4.91 Assumptions after simplification: % 29.23/4.91 --------------------------------- % 29.23/4.91 % 29.23/4.91 (ax15) % 29.23/4.95 ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ! [v2: any] : % 29.23/4.95 ( ~ (neq(v0, v1) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & % 29.23/4.95 ssList(v1) = v3) | (( ~ (v2 = 0) | ~ (v1 = v0)) & (v2 = 0 | v1 = v0)))) % 29.23/4.95 % 29.23/4.95 (ax17) % 29.23/4.95 ssList(nil) = 0 & $i(nil) % 29.23/4.95 % 29.23/4.95 (ax39) % 29.23/4.95 $i(nil) & ? [v0: int] : ( ~ (v0 = 0) & singletonP(nil) = v0) % 29.23/4.95 % 29.23/4.95 (co1) % 29.23/4.95 $i(nil) & ? [v0: $i] : ? [v1: any] : (ssList(v0) = 0 & neq(v0, nil) = v1 & % 29.23/4.95 $i(v0) & ? [v2: $i] : ( ~ (v1 = 0) & singletonP(v0) = 0 & ssList(v2) = 0 & % 29.23/4.95 neq(v2, nil) = 0 & $i(v2))) % 29.23/4.95 % 29.23/4.95 (function-axioms) % 29.23/4.97 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 29.23/4.97 [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0: % 29.23/4.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 29.23/4.97 : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0: % 29.23/4.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 29.23/4.97 : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0: % 29.23/4.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 29.23/4.97 : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0: % 29.23/4.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 29.23/4.97 : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! % 29.23/4.97 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 29.23/4.97 $i] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & % 29.23/4.97 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 29.23/4.97 $i] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) % 29.23/4.97 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 29.23/4.97 [v3: $i] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & % 29.23/4.97 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 29.23/4.97 (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 29.23/4.97 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) % 29.23/4.97 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 29.23/4.97 $i] : ! [v3: $i] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = % 29.23/4.97 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tl(v2) = % 29.23/4.97 v1) | ~ (tl(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 29.23/4.97 v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 29.23/4.97 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | % 29.23/4.97 ~ (equalelemsP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 29.23/4.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | % 29.23/4.98 ~ (duplicatefreeP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 29.23/4.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | % 29.23/4.98 ~ (strictorderedP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 29.23/4.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | % 29.23/4.98 ~ (totalorderedP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 29.23/4.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (strictorderP(v2) = v1) | % 29.23/4.98 ~ (strictorderP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 29.23/4.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ % 29.23/4.98 (totalorderP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 29.23/4.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ % 29.23/4.98 (cyclefreeP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 29.23/4.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ % 29.23/4.98 (singletonP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 29.23/4.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ % 29.23/4.98 (ssList(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 29.23/4.98 : ! [v2: $i] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) % 29.23/4.98 % 29.23/4.98 Further assumptions not needed in the proof: % 29.23/4.98 -------------------------------------------- % 29.23/4.98 ax1, ax10, ax11, ax12, ax13, ax14, ax16, ax18, ax19, ax2, ax20, ax21, ax22, % 29.23/4.98 ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32, ax33, ax34, % 29.23/4.98 ax35, ax36, ax37, ax38, ax4, ax40, ax41, ax42, ax43, ax44, ax45, ax46, ax47, % 29.23/4.98 ax48, ax49, ax5, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57, ax58, ax59, % 29.23/4.98 ax6, ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69, ax7, ax70, % 29.23/4.98 ax71, ax72, ax73, ax74, ax75, ax76, ax77, ax78, ax79, ax8, ax80, ax81, ax82, % 29.23/4.98 ax83, ax84, ax85, ax86, ax87, ax88, ax89, ax9, ax90, ax91, ax92, ax93, ax94, % 29.23/4.98 ax95 % 29.23/4.98 % 29.23/4.98 Those formulas are unsatisfiable: % 29.23/4.98 --------------------------------- % 29.23/4.98 % 29.23/4.98 Begin of proof % 29.23/4.98 | % 29.23/4.98 | ALPHA: (ax17) implies: % 29.23/4.98 | (1) ssList(nil) = 0 % 29.23/4.98 | % 29.23/4.98 | ALPHA: (ax39) implies: % 29.23/4.98 | (2) ? [v0: int] : ( ~ (v0 = 0) & singletonP(nil) = v0) % 29.23/4.98 | % 29.23/4.98 | ALPHA: (co1) implies: % 29.23/4.98 | (3) $i(nil) % 29.23/4.98 | (4) ? [v0: $i] : ? [v1: any] : (ssList(v0) = 0 & neq(v0, nil) = v1 & % 29.23/4.98 | $i(v0) & ? [v2: $i] : ( ~ (v1 = 0) & singletonP(v0) = 0 & ssList(v2) % 29.23/4.98 | = 0 & neq(v2, nil) = 0 & $i(v2))) % 29.23/4.98 | % 29.23/4.98 | ALPHA: (function-axioms) implies: % 29.23/4.98 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 29.23/4.98 | (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) % 29.23/4.99 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 29.23/4.99 | (v1 = v0 | ~ (singletonP(v2) = v1) | ~ (singletonP(v2) = v0)) % 29.23/4.99 | % 29.23/4.99 | DELTA: instantiating (2) with fresh symbol all_89_0 gives: % 29.23/4.99 | (7) ~ (all_89_0 = 0) & singletonP(nil) = all_89_0 % 29.23/4.99 | % 29.23/4.99 | ALPHA: (7) implies: % 29.23/4.99 | (8) ~ (all_89_0 = 0) % 29.23/4.99 | (9) singletonP(nil) = all_89_0 % 29.23/4.99 | % 29.23/4.99 | DELTA: instantiating (4) with fresh symbols all_93_0, all_93_1 gives: % 29.23/4.99 | (10) ssList(all_93_1) = 0 & neq(all_93_1, nil) = all_93_0 & $i(all_93_1) & % 29.23/4.99 | ? [v0: $i] : ( ~ (all_93_0 = 0) & singletonP(all_93_1) = 0 & % 29.23/4.99 | ssList(v0) = 0 & neq(v0, nil) = 0 & $i(v0)) % 29.23/4.99 | % 29.23/4.99 | ALPHA: (10) implies: % 29.23/4.99 | (11) $i(all_93_1) % 29.23/4.99 | (12) neq(all_93_1, nil) = all_93_0 % 29.23/4.99 | (13) ssList(all_93_1) = 0 % 29.23/4.99 | (14) ? [v0: $i] : ( ~ (all_93_0 = 0) & singletonP(all_93_1) = 0 & % 29.23/4.99 | ssList(v0) = 0 & neq(v0, nil) = 0 & $i(v0)) % 29.23/4.99 | % 29.23/4.99 | DELTA: instantiating (14) with fresh symbol all_97_0 gives: % 29.23/4.99 | (15) ~ (all_93_0 = 0) & singletonP(all_93_1) = 0 & ssList(all_97_0) = 0 & % 29.23/4.99 | neq(all_97_0, nil) = 0 & $i(all_97_0) % 29.23/4.99 | % 29.23/4.99 | ALPHA: (15) implies: % 29.23/4.99 | (16) ~ (all_93_0 = 0) % 29.23/4.99 | (17) singletonP(all_93_1) = 0 % 29.23/4.99 | % 29.23/4.99 | GROUND_INST: instantiating (ax15) with all_93_1, simplifying with (11), (13) % 29.23/4.99 | gives: % 29.23/4.99 | (18) ! [v0: $i] : ! [v1: any] : ( ~ (neq(all_93_1, v0) = v1) | ~ $i(v0) % 29.23/4.99 | | ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 = 0) | % 29.23/4.99 | ~ (v0 = all_93_1)) & (v1 = 0 | v0 = all_93_1))) % 29.23/4.99 | % 29.23/4.99 | GROUND_INST: instantiating (18) with nil, all_93_0, simplifying with (3), (12) % 29.23/4.99 | gives: % 29.23/5.00 | (19) ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0) | (( ~ (all_93_0 = 0) % 29.23/5.00 | | ~ (all_93_1 = nil)) & (all_93_0 = 0 | all_93_1 = nil)) % 29.23/5.00 | % 29.23/5.00 | BETA: splitting (19) gives: % 29.23/5.00 | % 29.23/5.00 | Case 1: % 29.23/5.00 | | % 29.23/5.00 | | (20) ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0) % 29.23/5.00 | | % 29.23/5.00 | | DELTA: instantiating (20) with fresh symbol all_270_0 gives: % 29.23/5.00 | | (21) ~ (all_270_0 = 0) & ssList(nil) = all_270_0 % 29.23/5.00 | | % 29.23/5.00 | | ALPHA: (21) implies: % 29.23/5.00 | | (22) ~ (all_270_0 = 0) % 29.23/5.00 | | (23) ssList(nil) = all_270_0 % 29.23/5.00 | | % 29.23/5.00 | | DELTA: instantiating (20) with fresh symbol all_272_0 gives: % 29.23/5.00 | | (24) ~ (all_272_0 = 0) & ssList(nil) = all_272_0 % 29.23/5.00 | | % 29.23/5.00 | | ALPHA: (24) implies: % 29.23/5.00 | | (25) ssList(nil) = all_272_0 % 29.23/5.00 | | % 29.23/5.00 | | GROUND_INST: instantiating (5) with 0, all_272_0, nil, simplifying with (1), % 29.23/5.00 | | (25) gives: % 29.23/5.00 | | (26) all_272_0 = 0 % 29.23/5.00 | | % 29.23/5.00 | | GROUND_INST: instantiating (5) with all_270_0, all_272_0, nil, simplifying % 29.23/5.00 | | with (23), (25) gives: % 29.23/5.00 | | (27) all_272_0 = all_270_0 % 29.23/5.00 | | % 29.23/5.00 | | COMBINE_EQS: (26), (27) imply: % 29.23/5.00 | | (28) all_270_0 = 0 % 29.23/5.00 | | % 29.23/5.00 | | REDUCE: (22), (28) imply: % 29.23/5.00 | | (29) $false % 29.23/5.00 | | % 29.23/5.00 | | CLOSE: (29) is inconsistent. % 29.23/5.00 | | % 29.23/5.00 | Case 2: % 29.23/5.00 | | % 29.23/5.00 | | (30) ( ~ (all_93_0 = 0) | ~ (all_93_1 = nil)) & (all_93_0 = 0 | all_93_1 % 29.23/5.00 | | = nil) % 29.23/5.00 | | % 29.23/5.00 | | ALPHA: (30) implies: % 29.23/5.00 | | (31) all_93_0 = 0 | all_93_1 = nil % 29.23/5.00 | | % 29.23/5.00 | | BETA: splitting (31) gives: % 29.23/5.00 | | % 29.23/5.00 | | Case 1: % 29.23/5.00 | | | % 29.23/5.00 | | | (32) all_93_1 = nil % 29.23/5.00 | | | % 29.23/5.00 | | | REDUCE: (17), (32) imply: % 29.23/5.00 | | | (33) singletonP(nil) = 0 % 29.23/5.00 | | | % 29.23/5.00 | | | GROUND_INST: instantiating (6) with all_89_0, 0, nil, simplifying with % 29.23/5.00 | | | (9), (33) gives: % 29.23/5.00 | | | (34) all_89_0 = 0 % 29.23/5.00 | | | % 29.23/5.00 | | | REDUCE: (8), (34) imply: % 29.23/5.00 | | | (35) $false % 29.23/5.00 | | | % 29.23/5.00 | | | CLOSE: (35) is inconsistent. % 29.23/5.00 | | | % 29.23/5.00 | | Case 2: % 29.23/5.00 | | | % 29.23/5.00 | | | (36) all_93_0 = 0 % 29.23/5.00 | | | % 29.23/5.00 | | | REDUCE: (16), (36) imply: % 29.23/5.00 | | | (37) $false % 29.23/5.00 | | | % 29.23/5.00 | | | CLOSE: (37) is inconsistent. % 29.23/5.00 | | | % 29.23/5.00 | | End of split % 29.23/5.00 | | % 29.23/5.00 | End of split % 29.23/5.00 | % 29.23/5.00 End of proof % 29.23/5.01 % SZS output end Proof for theBenchmark % 29.23/5.01 % 29.23/5.01 4391ms %------------------------------------------------------------------------------