%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWC270+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 : n031.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 20:50:33 EDT 2023 % Result : Theorem 136.64s 18.81s % Output : Proof 137.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWC270+1 : TPTP v8.1.2. Released v2.4.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n031.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Mon Aug 28 18:00:10 EDT 2023 % 0.19/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.15/1.39 Prover 4: Preprocessing ... % 4.15/1.39 Prover 1: Preprocessing ... % 5.30/1.44 Prover 3: Preprocessing ... % 5.30/1.44 Prover 0: Preprocessing ... % 5.30/1.44 Prover 2: Preprocessing ... % 5.30/1.44 Prover 5: Preprocessing ... % 5.30/1.44 Prover 6: Preprocessing ... % 14.01/2.65 Prover 2: Proving ... % 14.01/2.69 Prover 5: Constructing countermodel ... % 14.81/2.71 Prover 1: Constructing countermodel ... % 14.81/2.72 Prover 3: Constructing countermodel ... % 15.01/2.76 Prover 6: Proving ... % 19.28/3.37 Prover 0: Proving ... % 19.28/3.43 Prover 4: Constructing countermodel ... % 72.48/10.32 Prover 2: stopped % 72.48/10.32 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 74.11/10.51 Prover 7: Preprocessing ... % 75.69/10.70 Prover 7: Constructing countermodel ... % 100.76/13.96 Prover 5: stopped % 100.93/13.98 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 101.48/14.10 Prover 8: Preprocessing ... % 104.31/14.42 Prover 8: Warning: ignoring some quantifiers % 104.31/14.43 Prover 8: Constructing countermodel ... % 115.61/15.96 Prover 1: stopped % 115.61/15.96 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 116.28/16.07 Prover 9: Preprocessing ... % 121.57/16.69 Prover 9: Constructing countermodel ... % 130.08/17.87 Prover 6: stopped % 130.08/17.89 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 130.80/17.99 Prover 10: Preprocessing ... % 131.29/18.15 Prover 10: Constructing countermodel ... % 136.64/18.80 Prover 10: Found proof (size 19) % 136.64/18.80 Prover 10: proved (915ms) % 136.64/18.80 Prover 0: stopped % 136.64/18.81 Prover 8: stopped % 136.64/18.81 Prover 3: stopped % 136.64/18.81 Prover 9: stopped % 136.64/18.81 Prover 7: stopped % 136.64/18.81 Prover 4: stopped % 136.64/18.81 % 136.64/18.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 136.64/18.81 % 136.64/18.81 % SZS output start Proof for theBenchmark % 136.64/18.82 Assumptions after simplification: % 136.64/18.82 --------------------------------- % 136.64/18.82 % 136.64/18.82 (ax11) % 137.67/18.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 137.67/18.85 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (cons(v2, v7) = v8) | ~ % 137.67/18.85 (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ % 137.67/18.85 $i(v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 137.67/18.85 totalorderedP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ % 137.67/18.85 ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | leq(v1, v2)) & ! [v0: $i] : ( % 137.67/18.85 ~ $i(v0) | ~ ssList(v0) | totalorderedP(v0) | ? [v1: $i] : ? [v2: $i] : % 137.67/18.85 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: % 137.67/18.85 $i] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, % 137.67/18.85 v5) = v6 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) % 137.67/18.85 & $i(v1) & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) % 137.67/18.85 & ~ leq(v1, v2))) % 137.67/18.85 % 137.67/18.85 (ax12) % 137.67/18.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 137.67/18.85 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (cons(v2, v7) = v8) | ~ % 137.67/18.85 (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ (app(v3, v5) = v6) | ~ % 137.67/18.85 $i(v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 137.67/18.85 strictorderedP(v0) | ~ ssList(v7) | ~ ssList(v4) | ~ ssList(v3) | ~ % 137.67/18.85 ssList(v0) | ~ ssItem(v2) | ~ ssItem(v1) | lt(v1, v2)) & ! [v0: $i] : ( ~ % 137.67/18.85 $i(v0) | ~ ssList(v0) | strictorderedP(v0) | ? [v1: $i] : ? [v2: $i] : ? % 137.67/18.85 [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: % 137.67/18.85 $i] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3, % 137.67/18.86 v5) = v6 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) % 137.67/18.86 & $i(v1) & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) % 137.67/18.86 & ~ lt(v1, v2))) % 137.67/18.86 % 137.67/18.86 (ax17) % 137.67/18.86 $i(nil) & ssList(nil) % 137.67/18.86 % 137.67/18.86 (ax58) % 137.67/18.86 $i(nil) & ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ segmentP(nil, v0) | ~ % 137.67/18.86 ssList(v0)) & ( ~ ssList(nil) | segmentP(nil, nil)) % 137.67/18.86 % 137.67/18.86 (ax93) % 137.67/18.86 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ leq(v0, v1) % 137.67/18.86 | ~ ssItem(v1) | ~ ssItem(v0) | lt(v0, v1)) & ! [v0: $i] : ! [v1: $i] : % 137.67/18.86 ( ~ $i(v1) | ~ $i(v0) | ~ lt(v0, v1) | ~ ssItem(v1) | ~ ssItem(v0) | % 137.67/18.86 leq(v0, v1)) & ! [v0: $i] : ( ~ $i(v0) | ~ lt(v0, v0) | ~ ssItem(v0)) % 137.67/18.86 % 137.67/18.86 (co1) % 137.67/18.86 ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & strictorderedP(v0) & % 137.67/18.86 segmentP(v1, v0) & ssList(v1) & ssList(v0) & ~ totalorderedP(v0)) % 137.67/18.86 % 137.67/18.86 Further assumptions not needed in the proof: % 137.67/18.86 -------------------------------------------- % 137.67/18.86 ax1, ax10, ax13, ax14, ax15, ax16, ax18, ax19, ax2, ax20, ax21, ax22, ax23, % 137.67/18.86 ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32, ax33, ax34, ax35, % 137.67/18.86 ax36, ax37, ax38, ax39, ax4, ax40, ax41, ax42, ax43, ax44, ax45, ax46, ax47, % 137.67/18.86 ax48, ax49, ax5, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57, ax59, ax6, % 137.67/18.86 ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69, ax7, ax70, ax71, % 137.67/18.86 ax72, ax73, ax74, ax75, ax76, ax77, ax78, ax79, ax8, ax80, ax81, ax82, ax83, % 137.67/18.86 ax84, ax85, ax86, ax87, ax88, ax89, ax9, ax90, ax91, ax92, ax94, ax95 % 137.67/18.86 % 137.67/18.86 Those formulas are unsatisfiable: % 137.67/18.86 --------------------------------- % 137.67/18.86 % 137.67/18.86 Begin of proof % 137.67/18.86 | % 137.67/18.86 | ALPHA: (ax11) implies: % 137.78/18.87 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | totalorderedP(v0) | ? [v1: % 137.78/18.87 | $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? % 137.78/18.87 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : (cons(v2, v7) = v8 & cons(v1, % 137.78/18.87 | v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & $i(v8) & $i(v7) % 137.78/18.87 | & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & ssList(v7) % 137.78/18.87 | & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) & ~ leq(v1, % 137.78/18.87 | v2))) % 137.78/18.87 | % 137.78/18.87 | ALPHA: (ax12) implies: % 137.78/18.87 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 137.78/18.87 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (cons(v2, % 137.78/18.87 | v7) = v8) | ~ (cons(v1, v4) = v5) | ~ (app(v6, v8) = v0) | ~ % 137.78/18.87 | (app(v3, v5) = v6) | ~ $i(v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 137.78/18.87 | ~ $i(v1) | ~ $i(v0) | ~ strictorderedP(v0) | ~ ssList(v7) | ~ % 137.78/18.87 | ssList(v4) | ~ ssList(v3) | ~ ssList(v0) | ~ ssItem(v2) | ~ % 137.78/18.87 | ssItem(v1) | lt(v1, v2)) % 137.78/18.87 | % 137.78/18.87 | ALPHA: (ax17) implies: % 137.78/18.87 | (3) ssList(nil) % 137.78/18.87 | % 137.78/18.87 | ALPHA: (ax58) implies: % 137.78/18.87 | (4) ~ ssList(nil) | segmentP(nil, nil) % 137.78/18.87 | % 137.78/18.87 | ALPHA: (ax93) implies: % 137.78/18.87 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ lt(v0, v1) | ~ % 137.78/18.87 | ssItem(v1) | ~ ssItem(v0) | leq(v0, v1)) % 137.78/18.87 | % 137.78/18.87 | DELTA: instantiating (co1) with fresh symbols all_91_0, all_91_1 gives: % 137.78/18.87 | (6) $i(all_91_0) & $i(all_91_1) & strictorderedP(all_91_1) & % 137.78/18.87 | segmentP(all_91_0, all_91_1) & ssList(all_91_0) & ssList(all_91_1) & ~ % 137.78/18.87 | totalorderedP(all_91_1) % 137.78/18.87 | % 137.78/18.87 | ALPHA: (6) implies: % 137.78/18.87 | (7) ~ totalorderedP(all_91_1) % 137.78/18.87 | (8) ssList(all_91_1) % 137.78/18.87 | (9) strictorderedP(all_91_1) % 137.78/18.87 | (10) $i(all_91_1) % 137.78/18.87 | % 137.78/18.87 | BETA: splitting (4) gives: % 137.78/18.87 | % 137.78/18.87 | Case 1: % 137.78/18.87 | | % 137.78/18.87 | | (11) ~ ssList(nil) % 137.78/18.87 | | % 137.78/18.87 | | PRED_UNIFY: (3), (11) imply: % 137.78/18.87 | | (12) $false % 137.78/18.87 | | % 137.78/18.87 | | CLOSE: (12) is inconsistent. % 137.78/18.87 | | % 137.78/18.87 | Case 2: % 137.78/18.87 | | % 137.78/18.87 | | % 137.78/18.88 | | GROUND_INST: instantiating (1) with all_91_1, simplifying with (7), (8), % 137.78/18.88 | | (10) gives: % 137.78/18.88 | | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] % 137.78/18.88 | | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (cons(v1, v6) = v7 & % 137.78/18.88 | | cons(v0, v3) = v4 & app(v5, v7) = all_91_1 & app(v2, v4) = v5 & % 137.78/18.88 | | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 137.78/18.88 | | $i(v0) & ssList(v6) & ssList(v3) & ssList(v2) & ssItem(v1) & % 137.78/18.88 | | ssItem(v0) & ~ leq(v0, v1)) % 137.78/18.88 | | % 137.78/18.88 | | DELTA: instantiating (13) with fresh symbols all_119_0, all_119_1, % 137.78/18.88 | | all_119_2, all_119_3, all_119_4, all_119_5, all_119_6, all_119_7 % 137.78/18.88 | | gives: % 137.78/18.88 | | (14) cons(all_119_6, all_119_1) = all_119_0 & cons(all_119_7, all_119_4) % 137.78/18.88 | | = all_119_3 & app(all_119_2, all_119_0) = all_91_1 & app(all_119_5, % 137.78/18.88 | | all_119_3) = all_119_2 & $i(all_119_0) & $i(all_119_1) & % 137.78/18.88 | | $i(all_119_2) & $i(all_119_3) & $i(all_119_4) & $i(all_119_5) & % 137.78/18.88 | | $i(all_119_6) & $i(all_119_7) & ssList(all_119_1) & % 137.78/18.88 | | ssList(all_119_4) & ssList(all_119_5) & ssItem(all_119_6) & % 137.78/18.88 | | ssItem(all_119_7) & ~ leq(all_119_7, all_119_6) % 137.78/18.88 | | % 137.78/18.88 | | ALPHA: (14) implies: % 137.78/18.88 | | (15) ~ leq(all_119_7, all_119_6) % 137.78/18.88 | | (16) ssItem(all_119_7) % 137.78/18.88 | | (17) ssItem(all_119_6) % 137.78/18.88 | | (18) ssList(all_119_5) % 137.78/18.88 | | (19) ssList(all_119_4) % 137.78/18.88 | | (20) ssList(all_119_1) % 137.78/18.88 | | (21) $i(all_119_7) % 137.78/18.88 | | (22) $i(all_119_6) % 137.78/18.88 | | (23) $i(all_119_5) % 137.78/18.88 | | (24) $i(all_119_4) % 137.78/18.88 | | (25) $i(all_119_1) % 137.78/18.88 | | (26) app(all_119_5, all_119_3) = all_119_2 % 137.78/18.88 | | (27) app(all_119_2, all_119_0) = all_91_1 % 137.78/18.88 | | (28) cons(all_119_7, all_119_4) = all_119_3 % 137.78/18.88 | | (29) cons(all_119_6, all_119_1) = all_119_0 % 137.78/18.88 | | % 137.78/18.88 | | GROUND_INST: instantiating (2) with all_91_1, all_119_7, all_119_6, % 137.78/18.88 | | all_119_5, all_119_4, all_119_3, all_119_2, all_119_1, % 137.78/18.88 | | all_119_0, simplifying with (8), (9), (10), (16), (17), (18), % 137.78/18.88 | | (19), (20), (21), (22), (23), (24), (25), (26), (27), (28), % 137.78/18.88 | | (29) gives: % 137.78/18.88 | | (30) lt(all_119_7, all_119_6) % 137.78/18.88 | | % 137.78/18.88 | | GROUND_INST: instantiating (5) with all_119_7, all_119_6, simplifying with % 137.78/18.88 | | (15), (16), (17), (21), (22), (30) gives: % 137.78/18.88 | | (31) $false % 137.78/18.88 | | % 137.78/18.88 | | CLOSE: (31) is inconsistent. % 137.78/18.88 | | % 137.78/18.88 | End of split % 137.78/18.88 | % 137.78/18.88 End of proof % 137.78/18.88 % SZS output end Proof for theBenchmark % 137.78/18.88 % 137.78/18.88 18282ms %------------------------------------------------------------------------------