%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWC404+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 : n013.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 20:51:16 EDT 2023 % Result : Theorem 136.22s 18.61s % Output : Proof 136.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.10 % Problem : SWC404+1 : TPTP v8.1.2. Released v2.4.0. % 0.09/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.31 % Computer : n013.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Mon Aug 28 17:18:01 EDT 2023 % 0.10/0.31 % CPUTime : % 0.17/0.60 ________ _____ % 0.17/0.60 ___ __ \_________(_)________________________________ % 0.17/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.17/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.17/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.17/0.60 % 0.17/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.17/0.60 (2023-06-19) % 0.17/0.60 % 0.17/0.60 (c) Philipp Rümmer, 2009-2023 % 0.17/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.17/0.60 Amanda Stjerna. % 0.17/0.61 Free software under BSD-3-Clause. % 0.17/0.61 % 0.17/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.17/0.61 % 0.17/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.17/0.62 Running up to 7 provers in parallel. % 0.17/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.17/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.17/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.17/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.17/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.17/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.17/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 7.76/1.89 Prover 4: Preprocessing ... % 7.76/1.91 Prover 1: Preprocessing ... % 8.34/1.92 Prover 5: Preprocessing ... % 8.34/1.92 Prover 0: Preprocessing ... % 8.34/1.92 Prover 3: Preprocessing ... % 8.34/1.92 Prover 6: Preprocessing ... % 8.34/1.92 Prover 2: Preprocessing ... % 23.33/3.97 Prover 2: Proving ... % 24.26/4.07 Prover 5: Constructing countermodel ... % 24.26/4.08 Prover 6: Proving ... % 24.26/4.08 Prover 3: Constructing countermodel ... % 24.26/4.09 Prover 1: Constructing countermodel ... % 33.71/5.35 Prover 0: Proving ... % 33.71/5.37 Prover 4: Constructing countermodel ... % 84.46/11.91 Prover 2: stopped % 84.46/11.92 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 86.01/12.10 Prover 7: Preprocessing ... % 87.59/12.32 Prover 7: Constructing countermodel ... % 100.23/13.98 Prover 5: stopped % 100.23/13.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 101.56/14.11 Prover 8: Preprocessing ... % 102.59/14.38 Prover 8: Warning: ignoring some quantifiers % 102.59/14.40 Prover 8: Constructing countermodel ... % 116.22/15.97 Prover 1: stopped % 116.22/15.97 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 116.82/16.06 Prover 9: Preprocessing ... % 123.55/16.96 Prover 9: Constructing countermodel ... % 131.13/17.91 Prover 6: stopped % 131.13/17.91 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 132.41/18.09 Prover 10: Preprocessing ... % 133.45/18.27 Prover 10: Constructing countermodel ... % 136.22/18.60 Prover 10: Found proof (size 16) % 136.22/18.60 Prover 10: proved (684ms) % 136.22/18.60 Prover 3: stopped % 136.22/18.60 Prover 7: stopped % 136.22/18.60 Prover 8: stopped % 136.22/18.60 Prover 9: stopped % 136.22/18.60 Prover 0: stopped % 136.22/18.61 Prover 4: stopped % 136.22/18.61 % 136.22/18.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 136.22/18.61 % 136.22/18.61 % SZS output start Proof for theBenchmark % 136.22/18.61 Assumptions after simplification: % 136.22/18.61 --------------------------------- % 136.22/18.61 % 136.22/18.61 (ax17) % 136.42/18.62 $i(nil) & ssList(nil) % 136.42/18.62 % 136.42/18.62 (ax26) % 136.46/18.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (app(v0, v1) = v2) | ~ $i(v1) | % 136.46/18.64 ~ $i(v0) | ~ ssList(v1) | ~ ssList(v0) | ssList(v2)) % 136.46/18.64 % 136.46/18.64 (ax36) % 136.46/18.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (app(v1, v2) = v3) % 136.46/18.65 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ memberP(v3, v0) | ~ ssList(v2) | % 136.46/18.65 ~ ssList(v1) | ~ ssItem(v0) | memberP(v2, v0) | memberP(v1, v0)) & ! [v0: % 136.46/18.65 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (app(v1, v2) = v3) | ~ % 136.46/18.65 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ memberP(v2, v0) | ~ ssList(v2) | ~ % 136.46/18.65 ssList(v1) | ~ ssItem(v0) | memberP(v3, v0)) & ! [v0: $i] : ! [v1: $i] : % 136.46/18.65 ! [v2: $i] : ! [v3: $i] : ( ~ (app(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 136.46/18.65 $i(v0) | ~ memberP(v1, v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) % 136.46/18.65 | memberP(v3, v0)) % 136.46/18.65 % 136.46/18.65 (ax58) % 136.46/18.65 $i(nil) & ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ segmentP(nil, v0) | ~ % 136.46/18.65 ssList(v0)) & ( ~ ssList(nil) | segmentP(nil, nil)) % 136.46/18.65 % 136.46/18.65 (co1) % 136.46/18.66 $i(nil) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] % 136.46/18.66 : ? [v5: $i] : (app(v4, v5) = v1 & app(v3, v0) = v4 & $i(v5) & $i(v4) & % 136.46/18.66 $i(v3) & $i(v2) & $i(v1) & $i(v0) & strictorderedP(v0) & memberP(v0, v2) & % 136.46/18.66 ssList(v5) & ssList(v3) & ssList(v1) & ssList(v0) & ssItem(v2) & ~ % 136.46/18.66 memberP(v1, v2) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! % 136.46/18.66 [v10: $i] : ! [v11: $i] : ( ~ (cons(v9, nil) = v10) | ~ (cons(v6, nil) = % 136.46/18.66 v7) | ~ (app(v11, v10) = v0) | ~ (app(v7, v8) = v5) | ~ $i(v11) | ~ % 136.46/18.66 $i(v9) | ~ $i(v8) | ~ $i(v6) | ~ lt(v9, v6) | ~ ssList(v11) | ~ % 136.46/18.66 ssList(v8) | ~ ssItem(v9) | ~ ssItem(v6)) & ! [v6: $i] : ! [v7: $i] : % 136.46/18.66 ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ (cons(v9, nil) % 136.46/18.66 = v10) | ~ (cons(v6, nil) = v7) | ~ (app(v10, v11) = v0) | ~ (app(v8, % 136.46/18.66 v7) = v3) | ~ $i(v11) | ~ $i(v9) | ~ $i(v8) | ~ $i(v6) | ~ lt(v6, % 136.46/18.66 v9) | ~ ssList(v11) | ~ ssList(v8) | ~ ssItem(v9) | ~ ssItem(v6)) & % 136.46/18.66 ( ~ (v0 = nil) | v1 = nil)) % 136.46/18.66 % 136.46/18.66 Further assumptions not needed in the proof: % 136.46/18.66 -------------------------------------------- % 136.46/18.66 ax1, ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax18, ax19, ax2, ax20, ax21, % 136.46/18.66 ax22, ax23, ax24, ax25, ax27, ax28, ax29, ax3, ax30, ax31, ax32, ax33, ax34, % 136.46/18.66 ax35, ax37, ax38, ax39, ax4, ax40, ax41, ax42, ax43, ax44, ax45, ax46, ax47, % 136.46/18.66 ax48, ax49, ax5, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57, ax59, ax6, % 136.46/18.66 ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69, ax7, ax70, ax71, % 136.46/18.66 ax72, ax73, ax74, ax75, ax76, ax77, ax78, ax79, ax8, ax80, ax81, ax82, ax83, % 136.46/18.66 ax84, ax85, ax86, ax87, ax88, ax89, ax9, ax90, ax91, ax92, ax93, ax94, ax95 % 136.46/18.66 % 136.46/18.66 Those formulas are unsatisfiable: % 136.46/18.66 --------------------------------- % 136.46/18.66 % 136.46/18.66 Begin of proof % 136.46/18.66 | % 136.46/18.66 | ALPHA: (ax17) implies: % 136.46/18.66 | (1) ssList(nil) % 136.46/18.66 | % 136.46/18.66 | ALPHA: (ax36) implies: % 136.46/18.66 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (app(v1, % 136.46/18.66 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ memberP(v1, % 136.46/18.66 | v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, % 136.46/18.66 | v0)) % 136.46/18.66 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (app(v1, % 136.46/18.66 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ memberP(v2, % 136.46/18.66 | v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssItem(v0) | memberP(v3, % 136.46/18.66 | v0)) % 136.46/18.66 | % 136.46/18.67 | ALPHA: (ax58) implies: % 136.46/18.67 | (4) ~ ssList(nil) | segmentP(nil, nil) % 136.46/18.67 | % 136.46/18.67 | ALPHA: (co1) implies: % 136.46/18.67 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 136.46/18.67 | ? [v5: $i] : (app(v4, v5) = v1 & app(v3, v0) = v4 & $i(v5) & $i(v4) & % 136.46/18.67 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & strictorderedP(v0) & memberP(v0, % 136.46/18.67 | v2) & ssList(v5) & ssList(v3) & ssList(v1) & ssList(v0) & % 136.46/18.67 | ssItem(v2) & ~ memberP(v1, v2) & ! [v6: $i] : ! [v7: $i] : ! [v8: % 136.46/18.67 | $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ (cons(v9, % 136.46/18.67 | nil) = v10) | ~ (cons(v6, nil) = v7) | ~ (app(v11, v10) = v0) % 136.46/18.67 | | ~ (app(v7, v8) = v5) | ~ $i(v11) | ~ $i(v9) | ~ $i(v8) | ~ % 136.46/18.67 | $i(v6) | ~ lt(v9, v6) | ~ ssList(v11) | ~ ssList(v8) | ~ % 136.46/18.67 | ssItem(v9) | ~ ssItem(v6)) & ! [v6: $i] : ! [v7: $i] : ! [v8: % 136.46/18.67 | $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ (cons(v9, % 136.46/18.67 | nil) = v10) | ~ (cons(v6, nil) = v7) | ~ (app(v10, v11) = v0) % 136.46/18.67 | | ~ (app(v8, v7) = v3) | ~ $i(v11) | ~ $i(v9) | ~ $i(v8) | ~ % 136.46/18.67 | $i(v6) | ~ lt(v6, v9) | ~ ssList(v11) | ~ ssList(v8) | ~ % 136.46/18.67 | ssItem(v9) | ~ ssItem(v6)) & ( ~ (v0 = nil) | v1 = nil)) % 136.46/18.67 | % 136.46/18.67 | DELTA: instantiating (5) with fresh symbols all_91_0, all_91_1, all_91_2, % 136.46/18.67 | all_91_3, all_91_4, all_91_5 gives: % 136.46/18.67 | (6) app(all_91_1, all_91_0) = all_91_4 & app(all_91_2, all_91_5) = all_91_1 % 136.46/18.67 | & $i(all_91_0) & $i(all_91_1) & $i(all_91_2) & $i(all_91_3) & % 136.46/18.67 | $i(all_91_4) & $i(all_91_5) & strictorderedP(all_91_5) & % 136.46/18.67 | memberP(all_91_5, all_91_3) & ssList(all_91_0) & ssList(all_91_2) & % 136.46/18.67 | ssList(all_91_4) & ssList(all_91_5) & ssItem(all_91_3) & ~ % 136.46/18.67 | memberP(all_91_4, all_91_3) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 136.46/18.67 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (cons(v3, nil) = v4) | ~ % 136.46/18.67 | (cons(v0, nil) = v1) | ~ (app(v5, v4) = all_91_5) | ~ (app(v1, v2) % 136.46/18.67 | = all_91_0) | ~ $i(v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ % 136.46/18.67 | lt(v3, v0) | ~ ssList(v5) | ~ ssList(v2) | ~ ssItem(v3) | ~ % 136.46/18.67 | ssItem(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 136.46/18.67 | ! [v4: $i] : ! [v5: $i] : ( ~ (cons(v3, nil) = v4) | ~ (cons(v0, % 136.46/18.67 | nil) = v1) | ~ (app(v4, v5) = all_91_5) | ~ (app(v2, v1) = % 136.46/18.67 | all_91_2) | ~ $i(v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ % 136.46/18.67 | lt(v0, v3) | ~ ssList(v5) | ~ ssList(v2) | ~ ssItem(v3) | ~ % 136.46/18.67 | ssItem(v0)) & ( ~ (all_91_5 = nil) | all_91_4 = nil) % 136.46/18.67 | % 136.46/18.67 | ALPHA: (6) implies: % 136.46/18.67 | (7) ~ memberP(all_91_4, all_91_3) % 136.46/18.67 | (8) ssItem(all_91_3) % 136.46/18.67 | (9) ssList(all_91_5) % 136.46/18.67 | (10) ssList(all_91_2) % 136.46/18.68 | (11) ssList(all_91_0) % 136.46/18.68 | (12) memberP(all_91_5, all_91_3) % 136.46/18.68 | (13) $i(all_91_5) % 136.46/18.68 | (14) $i(all_91_3) % 136.46/18.68 | (15) $i(all_91_2) % 136.46/18.68 | (16) $i(all_91_1) % 136.46/18.68 | (17) $i(all_91_0) % 136.46/18.68 | (18) app(all_91_2, all_91_5) = all_91_1 % 136.46/18.68 | (19) app(all_91_1, all_91_0) = all_91_4 % 136.46/18.68 | % 136.46/18.68 | BETA: splitting (4) gives: % 136.46/18.68 | % 136.46/18.68 | Case 1: % 136.46/18.68 | | % 136.46/18.68 | | (20) ~ ssList(nil) % 136.46/18.68 | | % 136.46/18.68 | | PRED_UNIFY: (1), (20) imply: % 136.46/18.68 | | (21) $false % 136.46/18.68 | | % 136.46/18.68 | | CLOSE: (21) is inconsistent. % 136.46/18.68 | | % 136.46/18.68 | Case 2: % 136.46/18.68 | | % 136.46/18.68 | | % 136.46/18.68 | | GROUND_INST: instantiating (3) with all_91_3, all_91_2, all_91_5, all_91_1, % 136.46/18.68 | | simplifying with (8), (9), (10), (12), (13), (14), (15), (18) % 136.46/18.68 | | gives: % 136.46/18.68 | | (22) memberP(all_91_1, all_91_3) % 136.46/18.68 | | % 136.46/18.68 | | GROUND_INST: instantiating (ax26) with all_91_2, all_91_5, all_91_1, % 136.46/18.68 | | simplifying with (9), (10), (13), (15), (18) gives: % 136.46/18.68 | | (23) ssList(all_91_1) % 136.46/18.68 | | % 136.46/18.68 | | GROUND_INST: instantiating (2) with all_91_3, all_91_1, all_91_0, all_91_4, % 136.46/18.68 | | simplifying with (7), (8), (11), (14), (16), (17), (19), (22), % 136.46/18.68 | | (23) gives: % 136.46/18.68 | | (24) $false % 136.46/18.68 | | % 136.46/18.68 | | CLOSE: (24) is inconsistent. % 136.46/18.68 | | % 136.46/18.68 | End of split % 136.46/18.68 | % 136.46/18.68 End of proof % 136.46/18.68 % SZS output end Proof for theBenchmark % 136.46/18.68 % 136.46/18.68 18075ms %------------------------------------------------------------------------------