%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWC373+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 20:51:06 EDT 2023 % Result : Theorem 122.84s 16.80s % Output : Proof 123.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWC373+1 : TPTP v8.1.2. Released v2.4.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n022.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Mon Aug 28 18:17:39 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 5.78/1.57 Prover 4: Preprocessing ... % 6.24/1.58 Prover 6: Preprocessing ... % 6.24/1.58 Prover 5: Preprocessing ... % 6.24/1.58 Prover 2: Preprocessing ... % 6.24/1.58 Prover 3: Preprocessing ... % 6.24/1.58 Prover 1: Preprocessing ... % 6.24/1.59 Prover 0: Preprocessing ... % 16.29/2.98 Prover 2: Proving ... % 16.29/2.99 Prover 5: Constructing countermodel ... % 17.54/3.09 Prover 1: Constructing countermodel ... % 17.54/3.11 Prover 3: Constructing countermodel ... % 17.54/3.17 Prover 6: Proving ... % 22.35/3.84 Prover 0: Proving ... % 23.45/3.95 Prover 4: Constructing countermodel ... % 72.78/10.33 Prover 2: stopped % 72.78/10.34 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 73.67/10.51 Prover 7: Preprocessing ... % 76.45/10.82 Prover 7: Constructing countermodel ... % 98.06/13.55 Prover 3: gave up % 98.06/13.55 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 99.34/13.72 Prover 8: Preprocessing ... % 101.12/13.99 Prover 5: stopped % 101.12/14.01 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 101.83/14.06 Prover 8: Warning: ignoring some quantifiers % 101.83/14.06 Prover 8: Constructing countermodel ... % 102.24/14.13 Prover 9: Preprocessing ... % 109.89/15.09 Prover 9: Constructing countermodel ... % 116.98/16.01 Prover 1: stopped % 116.98/16.03 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 117.42/16.11 Prover 10: Preprocessing ... % 118.55/16.23 Prover 10: Constructing countermodel ... % 122.84/16.80 Prover 10: Found proof (size 22) % 122.84/16.80 Prover 10: proved (772ms) % 122.84/16.80 Prover 0: stopped % 122.84/16.80 Prover 6: stopped % 122.84/16.80 Prover 8: stopped % 122.84/16.80 Prover 9: stopped % 122.84/16.80 Prover 7: stopped % 122.84/16.80 Prover 4: stopped % 122.84/16.80 % 122.84/16.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 122.84/16.80 % 122.84/16.81 % SZS output start Proof for theBenchmark % 122.84/16.81 Assumptions after simplification: % 122.84/16.81 --------------------------------- % 122.84/16.81 % 122.84/16.81 (ax17) % 122.84/16.82 $i(nil) & ssList(nil) % 122.84/16.82 % 122.84/16.82 (ax42) % 122.84/16.82 ! [v0: $i] : ( ~ $i(v0) | ~ ssList(v0) | frontsegP(v0, v0)) % 122.84/16.82 % 122.84/16.82 (ax5) % 123.45/16.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (app(v1, v2) = v0) | ~ $i(v2) | % 123.45/16.84 ~ $i(v1) | ~ $i(v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | % 123.45/16.84 frontsegP(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 123.45/16.84 frontsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v1, % 123.45/16.84 v2) = v0 & $i(v2) & ssList(v2))) % 123.45/16.84 % 123.45/16.84 (ax58) % 123.45/16.84 $i(nil) & ! [v0: $i] : (v0 = nil | ~ $i(v0) | ~ segmentP(nil, v0) | ~ % 123.45/16.84 ssList(v0)) & ( ~ ssList(nil) | segmentP(nil, nil)) % 123.45/16.84 % 123.45/16.84 (ax6) % 123.45/16.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (app(v2, v1) = v0) | ~ $i(v2) | % 123.45/16.85 ~ $i(v1) | ~ $i(v0) | ~ ssList(v2) | ~ ssList(v1) | ~ ssList(v0) | % 123.45/16.85 rearsegP(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 123.45/16.85 rearsegP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v2, % 123.45/16.85 v1) = v0 & $i(v2) & ssList(v2))) % 123.45/16.85 % 123.45/16.85 (ax7) % 123.45/16.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 123.45/16.85 (app(v3, v4) = v0) | ~ (app(v2, v1) = v3) | ~ $i(v4) | ~ $i(v2) | ~ % 123.45/16.85 $i(v1) | ~ $i(v0) | ~ ssList(v4) | ~ ssList(v2) | ~ ssList(v1) | ~ % 123.45/16.85 ssList(v0) | segmentP(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 123.45/16.85 $i(v0) | ~ segmentP(v0, v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : % 123.45/16.85 ? [v3: $i] : ? [v4: $i] : (app(v3, v4) = v0 & app(v2, v1) = v3 & $i(v4) & % 123.45/16.85 $i(v3) & $i(v2) & ssList(v4) & ssList(v2))) % 123.45/16.85 % 123.45/16.85 (co1) % 123.45/16.85 ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & rearsegP(v1, v0) & ssList(v1) & % 123.45/16.85 ssList(v0) & ~ segmentP(v1, v0)) % 123.45/16.85 % 123.45/16.85 Further assumptions not needed in the proof: % 123.45/16.85 -------------------------------------------- % 123.45/16.85 ax1, ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax18, ax19, ax2, ax20, ax21, % 123.45/16.85 ax22, ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32, ax33, % 123.45/16.85 ax34, ax35, ax36, ax37, ax38, ax39, ax4, ax40, ax41, ax43, ax44, ax45, ax46, % 123.45/16.85 ax47, ax48, ax49, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57, ax59, ax60, % 123.45/16.85 ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69, ax70, ax71, ax72, ax73, % 123.45/16.85 ax74, ax75, ax76, ax77, ax78, ax79, ax8, ax80, ax81, ax82, ax83, ax84, ax85, % 123.45/16.85 ax86, ax87, ax88, ax89, ax9, ax90, ax91, ax92, ax93, ax94, ax95 % 123.45/16.85 % 123.45/16.85 Those formulas are unsatisfiable: % 123.45/16.85 --------------------------------- % 123.45/16.85 % 123.45/16.85 Begin of proof % 123.45/16.85 | % 123.45/16.85 | ALPHA: (ax5) implies: % 123.45/16.86 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ frontsegP(v0, % 123.45/16.86 | v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v1, v2) = % 123.45/16.86 | v0 & $i(v2) & ssList(v2))) % 123.45/16.86 | % 123.45/16.86 | ALPHA: (ax6) implies: % 123.45/16.86 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ rearsegP(v0, % 123.45/16.86 | v1) | ~ ssList(v1) | ~ ssList(v0) | ? [v2: $i] : (app(v2, v1) = % 123.45/16.86 | v0 & $i(v2) & ssList(v2))) % 123.45/16.86 | % 123.45/16.86 | ALPHA: (ax7) implies: % 123.45/16.86 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 123.45/16.86 | ~ (app(v3, v4) = v0) | ~ (app(v2, v1) = v3) | ~ $i(v4) | ~ $i(v2) % 123.45/16.86 | | ~ $i(v1) | ~ $i(v0) | ~ ssList(v4) | ~ ssList(v2) | ~ % 123.45/16.86 | ssList(v1) | ~ ssList(v0) | segmentP(v0, v1)) % 123.45/16.86 | % 123.45/16.86 | ALPHA: (ax17) implies: % 123.45/16.86 | (4) ssList(nil) % 123.45/16.86 | % 123.45/16.86 | ALPHA: (ax58) implies: % 123.45/16.86 | (5) ~ ssList(nil) | segmentP(nil, nil) % 123.45/16.86 | % 123.45/16.86 | DELTA: instantiating (co1) with fresh symbols all_91_0, all_91_1 gives: % 123.45/16.86 | (6) $i(all_91_0) & $i(all_91_1) & rearsegP(all_91_0, all_91_1) & % 123.45/16.86 | ssList(all_91_0) & ssList(all_91_1) & ~ segmentP(all_91_0, all_91_1) % 123.45/16.86 | % 123.45/16.86 | ALPHA: (6) implies: % 123.45/16.86 | (7) ~ segmentP(all_91_0, all_91_1) % 123.45/16.86 | (8) ssList(all_91_1) % 123.45/16.86 | (9) ssList(all_91_0) % 123.45/16.86 | (10) rearsegP(all_91_0, all_91_1) % 123.45/16.86 | (11) $i(all_91_1) % 123.45/16.86 | (12) $i(all_91_0) % 123.45/16.86 | % 123.45/16.86 | BETA: splitting (5) gives: % 123.45/16.86 | % 123.45/16.86 | Case 1: % 123.45/16.86 | | % 123.45/16.86 | | (13) ~ ssList(nil) % 123.45/16.86 | | % 123.45/16.86 | | PRED_UNIFY: (4), (13) imply: % 123.45/16.86 | | (14) $false % 123.45/16.86 | | % 123.45/16.86 | | CLOSE: (14) is inconsistent. % 123.45/16.86 | | % 123.45/16.86 | Case 2: % 123.45/16.86 | | % 123.45/16.86 | | % 123.45/16.86 | | GROUND_INST: instantiating (ax42) with all_91_0, simplifying with (9), (12) % 123.45/16.86 | | gives: % 123.45/16.86 | | (15) frontsegP(all_91_0, all_91_0) % 123.45/16.86 | | % 123.45/16.87 | | GROUND_INST: instantiating (2) with all_91_0, all_91_1, simplifying with % 123.45/16.87 | | (8), (9), (10), (11), (12) gives: % 123.45/16.87 | | (16) ? [v0: $i] : (app(v0, all_91_1) = all_91_0 & $i(v0) & ssList(v0)) % 123.45/16.87 | | % 123.45/16.87 | | DELTA: instantiating (16) with fresh symbol all_111_0 gives: % 123.45/16.87 | | (17) app(all_111_0, all_91_1) = all_91_0 & $i(all_111_0) & % 123.45/16.87 | | ssList(all_111_0) % 123.45/16.87 | | % 123.45/16.87 | | ALPHA: (17) implies: % 123.45/16.87 | | (18) ssList(all_111_0) % 123.45/16.87 | | (19) $i(all_111_0) % 123.45/16.87 | | (20) app(all_111_0, all_91_1) = all_91_0 % 123.45/16.87 | | % 123.45/16.87 | | GROUND_INST: instantiating (1) with all_91_0, all_91_0, simplifying with % 123.45/16.87 | | (9), (12), (15) gives: % 123.45/16.87 | | (21) ? [v0: $i] : (app(all_91_0, v0) = all_91_0 & $i(v0) & ssList(v0)) % 123.45/16.87 | | % 123.45/16.87 | | DELTA: instantiating (21) with fresh symbol all_143_0 gives: % 123.45/16.87 | | (22) app(all_91_0, all_143_0) = all_91_0 & $i(all_143_0) & % 123.45/16.87 | | ssList(all_143_0) % 123.45/16.87 | | % 123.45/16.87 | | ALPHA: (22) implies: % 123.45/16.87 | | (23) ssList(all_143_0) % 123.45/16.87 | | (24) $i(all_143_0) % 123.45/16.87 | | (25) app(all_91_0, all_143_0) = all_91_0 % 123.45/16.87 | | % 123.45/16.87 | | GROUND_INST: instantiating (3) with all_91_0, all_91_1, all_111_0, all_91_0, % 123.45/16.87 | | all_143_0, simplifying with (7), (8), (9), (11), (12), (18), % 123.45/16.87 | | (19), (20), (23), (24), (25) gives: % 123.45/16.87 | | (26) $false % 123.45/16.87 | | % 123.45/16.87 | | CLOSE: (26) is inconsistent. % 123.45/16.87 | | % 123.45/16.87 | End of split % 123.45/16.87 | % 123.45/16.87 End of proof % 123.45/16.87 % SZS output end Proof for theBenchmark % 123.45/16.87 % 123.45/16.87 16248ms %------------------------------------------------------------------------------