%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT001+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:17:17 AM UTC 2026 % Result : Theorem 8.23s 1.81s % Output : Proof 14.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT001+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.36 % Computer : n020.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 11:33:58 UTC 2026 % 0.10/0.37 % CPUTime : % 0.14/0.38 OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release. % 0.53/0.68 ________ _____ % 0.53/0.68 ___ __ \_________(_)________________________________ % 0.53/0.68 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.53/0.68 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.53/0.68 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.53/0.68 % 0.53/0.68 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.53/0.68 (2023-06-19) % 0.53/0.68 % 0.53/0.68 (c) Philipp Rümmer, 2009-2023 % 0.53/0.68 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.53/0.68 Amanda Stjerna. % 0.53/0.68 Free software under BSD-3-Clause. % 0.53/0.68 % 0.53/0.68 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.53/0.68 % 0.53/0.68 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.67/0.70 Running up to 7 provers in parallel. % 0.67/0.71 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.67/0.71 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.67/0.71 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.67/0.71 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.67/0.71 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.67/0.71 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.67/0.71 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.47/1.13 Prover 1: Preprocessing ... % 2.47/1.14 Prover 4: Preprocessing ... % 3.22/1.18 Prover 5: Preprocessing ... % 3.22/1.18 Prover 6: Preprocessing ... % 3.22/1.18 Prover 2: Preprocessing ... % 3.22/1.18 Prover 3: Preprocessing ... % 3.22/1.18 Prover 0: Preprocessing ... % 5.08/1.47 Prover 5: Constructing countermodel ... % 5.89/1.50 Prover 6: Constructing countermodel ... % 5.89/1.54 Prover 2: Constructing countermodel ... % 5.89/1.58 Prover 3: Constructing countermodel ... % 6.69/1.61 Prover 1: Constructing countermodel ... % 8.23/1.81 Prover 5: proved (1094ms) % 8.23/1.81 % 8.23/1.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.23/1.81 % 8.23/1.81 Prover 0: stopped % 8.23/1.81 Prover 6: stopped % 8.23/1.81 Prover 2: stopped % 8.23/1.82 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.23/1.82 Prover 3: stopped % 8.23/1.83 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.23/1.83 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.23/1.83 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.23/1.83 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.23/1.89 Prover 10: Preprocessing ... % 9.02/1.91 Prover 11: Preprocessing ... % 9.02/1.91 Prover 7: Preprocessing ... % 9.02/1.94 Prover 8: Preprocessing ... % 9.02/1.94 Prover 13: Preprocessing ... % 9.02/2.04 Prover 10: Constructing countermodel ... % 10.25/2.07 Prover 13: Constructing countermodel ... % 10.25/2.09 Prover 7: Constructing countermodel ... % 10.25/2.11 Prover 8: Warning: ignoring some quantifiers % 10.25/2.12 Prover 8: Constructing countermodel ... % 12.16/2.31 Prover 10: Found proof (size 27) % 12.16/2.31 Prover 13: Found proof (size 27) % 12.16/2.31 Prover 10: proved (489ms) % 12.16/2.31 Prover 13: proved (483ms) % 12.16/2.31 Prover 7: stopped % 12.16/2.31 Prover 8: stopped % 12.16/2.31 Prover 1: stopped % 12.16/2.33 Prover 11: stopped % 14.05/2.74 Prover 4: Constructing countermodel ... % 14.05/2.78 Prover 4: stopped % 14.05/2.78 % 14.05/2.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 14.05/2.78 % 14.05/2.79 % SZS output start Proof for theBenchmark % 14.05/2.79 Assumptions after simplification: % 14.05/2.79 --------------------------------- % 14.05/2.79 % 14.05/2.79 (a1_FOL) % 14.49/2.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 14.49/2.81 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | % 14.49/2.81 ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 14.49/2.81 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v5, v4) | ~ greater(v3, v2) | % 14.49/2.81 ~ survival_chance(v1, v7, v9) | ~ survival_chance(v0, v6, v8) | ~ % 14.49/2.81 accountability(v1, v5, v9) | ~ accountability(v0, v4, v8) | ~ % 14.49/2.81 reliability(v1, v3, v9) | ~ reliability(v0, v2, v8) | ~ organization(v1, % 14.49/2.81 v9) | ~ organization(v0, v8) | greater(v7, v6)) % 14.49/2.81 % 14.49/2.81 (a2_FOL) % 14.49/2.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 14.49/2.82 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | % 14.49/2.82 ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 14.49/2.82 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) | ~ reproducibility(v1, % 14.49/2.82 v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | % 14.49/2.82 ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ % 14.49/2.82 reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) % 14.49/2.82 | greater(v7, v6)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 14.49/2.82 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: % 14.49/2.82 $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) % 14.49/2.82 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) | ~ % 14.49/2.82 reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ % 14.49/2.82 accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ % 14.49/2.82 reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1, % 14.49/2.82 v3) | ~ organization(v0, v2) | greater(v5, v4)) & ! [v0: $i] : ! [v1: % 14.49/2.82 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : % 14.49/2.82 ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | % 14.49/2.82 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 14.49/2.82 $i(v0) | ~ greater(v7, v6) | ~ greater(v5, v4) | ~ reproducibility(v1, % 14.49/2.82 v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | % 14.49/2.82 ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ % 14.49/2.82 reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) % 14.49/2.82 | greater(v9, v8)) % 14.49/2.82 % 14.49/2.82 (a3_FOL) % 14.49/2.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 14.49/2.83 $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ % 14.49/2.83 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ inertia(v1, v7, % 14.49/2.83 v3) | ~ inertia(v0, v6, v2) | ~ reorganization_free(v1, v3, v3) | ~ % 14.49/2.83 reorganization_free(v0, v2, v2) | ~ greater(v7, v6) | ~ % 14.49/2.83 reproducibility(v1, v5, v3) | ~ reproducibility(v0, v4, v2) | ~ % 14.49/2.83 organization(v1, v3) | ~ organization(v0, v2) | greater(v5, v4)) & ! [v0: % 14.49/2.83 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 14.49/2.83 ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ % 14.49/2.83 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ inertia(v1, v7, v3) | ~ % 14.49/2.83 inertia(v0, v6, v2) | ~ reorganization_free(v1, v3, v3) | ~ % 14.49/2.83 reorganization_free(v0, v2, v2) | ~ greater(v5, v4) | ~ % 14.49/2.83 reproducibility(v1, v5, v3) | ~ reproducibility(v0, v4, v2) | ~ % 14.49/2.83 organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6)) % 14.49/2.83 % 14.49/2.83 (mp1) % 14.49/2.83 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) | % 14.49/2.83 ? [v2: $i] : ($i(v2) & reliability(v0, v2, v1))) % 14.49/2.83 % 14.49/2.83 (mp2) % 14.49/2.83 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) | % 14.49/2.83 ? [v2: $i] : ($i(v2) & accountability(v0, v2, v1))) % 14.49/2.83 % 14.49/2.83 (mp3) % 14.49/2.83 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) | % 14.49/2.83 ? [v2: $i] : ($i(v2) & reproducibility(v0, v2, v1))) % 14.49/2.83 % 14.49/2.83 (t1_FOL) % 14.49/2.84 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 14.49/2.84 $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & $i(v4) & % 14.49/2.84 $i(v3) & $i(v2) & $i(v1) & $i(v0) & inertia(v1, v5, v3) & inertia(v0, v4, % 14.49/2.84 v2) & reorganization_free(v1, v3, v3) & reorganization_free(v0, v2, v2) & % 14.49/2.84 greater(v5, v4) & survival_chance(v1, v7, v3) & survival_chance(v0, v6, v2) % 14.49/2.84 & organization(v1, v3) & organization(v0, v2) & ~ greater(v7, v6)) % 14.49/2.84 % 14.49/2.84 Those formulas are unsatisfiable: % 14.49/2.84 --------------------------------- % 14.49/2.84 % 14.49/2.84 Begin of proof % 14.49/2.84 | % 14.49/2.84 | ALPHA: (a3_FOL) implies: % 14.49/2.84 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 14.49/2.84 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ % 14.49/2.84 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 14.49/2.84 | ~ inertia(v1, v7, v3) | ~ inertia(v0, v6, v2) | ~ % 14.49/2.84 | reorganization_free(v1, v3, v3) | ~ reorganization_free(v0, v2, v2) % 14.49/2.84 | | ~ greater(v7, v6) | ~ reproducibility(v1, v5, v3) | ~ % 14.49/2.84 | reproducibility(v0, v4, v2) | ~ organization(v1, v3) | ~ % 14.49/2.84 | organization(v0, v2) | greater(v5, v4)) % 14.49/2.84 | % 14.49/2.84 | ALPHA: (a2_FOL) implies: % 14.49/2.85 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 14.49/2.85 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( % 14.49/2.85 | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) % 14.49/2.85 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) % 14.49/2.85 | | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | % 14.49/2.85 | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ % 14.49/2.85 | reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ % 14.49/2.85 | organization(v1, v3) | ~ organization(v0, v2) | greater(v5, v4)) % 14.49/2.85 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 14.49/2.85 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( % 14.49/2.85 | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) % 14.49/2.85 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) % 14.49/2.85 | | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | % 14.49/2.85 | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ % 14.49/2.85 | reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ % 14.49/2.85 | organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6)) % 14.49/2.85 | % 14.49/2.85 | DELTA: instantiating (t1_FOL) with fresh symbols all_8_0, all_8_1, all_8_2, % 14.49/2.85 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7 gives: % 14.49/2.86 | (4) $i(all_8_0) & $i(all_8_1) & $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & % 14.49/2.86 | $i(all_8_5) & $i(all_8_6) & $i(all_8_7) & inertia(all_8_6, all_8_2, % 14.49/2.86 | all_8_4) & inertia(all_8_7, all_8_3, all_8_5) & % 14.49/2.86 | reorganization_free(all_8_6, all_8_4, all_8_4) & % 14.49/2.86 | reorganization_free(all_8_7, all_8_5, all_8_5) & greater(all_8_2, % 14.49/2.86 | all_8_3) & survival_chance(all_8_6, all_8_0, all_8_4) & % 14.49/2.86 | survival_chance(all_8_7, all_8_1, all_8_5) & organization(all_8_6, % 14.49/2.86 | all_8_4) & organization(all_8_7, all_8_5) & ~ greater(all_8_0, % 14.49/2.86 | all_8_1) % 14.49/2.86 | % 14.49/2.86 | ALPHA: (4) implies: % 14.49/2.86 | (5) ~ greater(all_8_0, all_8_1) % 14.49/2.86 | (6) organization(all_8_7, all_8_5) % 14.49/2.86 | (7) organization(all_8_6, all_8_4) % 14.49/2.86 | (8) survival_chance(all_8_7, all_8_1, all_8_5) % 14.49/2.86 | (9) survival_chance(all_8_6, all_8_0, all_8_4) % 14.49/2.86 | (10) greater(all_8_2, all_8_3) % 14.49/2.86 | (11) reorganization_free(all_8_7, all_8_5, all_8_5) % 14.49/2.86 | (12) reorganization_free(all_8_6, all_8_4, all_8_4) % 14.49/2.86 | (13) inertia(all_8_7, all_8_3, all_8_5) % 14.49/2.87 | (14) inertia(all_8_6, all_8_2, all_8_4) % 14.49/2.87 | (15) $i(all_8_7) % 14.49/2.87 | (16) $i(all_8_6) % 14.49/2.87 | (17) $i(all_8_5) % 14.49/2.87 | (18) $i(all_8_4) % 14.49/2.87 | (19) $i(all_8_3) % 14.49/2.87 | (20) $i(all_8_2) % 14.49/2.87 | (21) $i(all_8_1) % 14.49/2.87 | (22) $i(all_8_0) % 14.49/2.87 | % 14.49/2.87 | GROUND_INST: instantiating (mp3) with all_8_7, all_8_5, simplifying with (6), % 14.49/2.87 | (15), (17) gives: % 14.49/2.87 | (23) ? [v0: $i] : ($i(v0) & reproducibility(all_8_7, v0, all_8_5)) % 14.49/2.87 | % 14.49/2.87 | GROUND_INST: instantiating (mp2) with all_8_7, all_8_5, simplifying with (6), % 14.49/2.87 | (15), (17) gives: % 14.49/2.87 | (24) ? [v0: $i] : ($i(v0) & accountability(all_8_7, v0, all_8_5)) % 14.49/2.87 | % 14.49/2.87 | GROUND_INST: instantiating (mp1) with all_8_7, all_8_5, simplifying with (6), % 14.49/2.87 | (15), (17) gives: % 14.49/2.87 | (25) ? [v0: $i] : ($i(v0) & reliability(all_8_7, v0, all_8_5)) % 14.49/2.87 | % 14.49/2.87 | GROUND_INST: instantiating (mp3) with all_8_6, all_8_4, simplifying with (7), % 14.49/2.87 | (16), (18) gives: % 14.49/2.87 | (26) ? [v0: $i] : ($i(v0) & reproducibility(all_8_6, v0, all_8_4)) % 14.49/2.87 | % 14.49/2.88 | GROUND_INST: instantiating (mp2) with all_8_6, all_8_4, simplifying with (7), % 14.49/2.88 | (16), (18) gives: % 14.49/2.88 | (27) ? [v0: $i] : ($i(v0) & accountability(all_8_6, v0, all_8_4)) % 14.49/2.88 | % 14.49/2.88 | GROUND_INST: instantiating (mp1) with all_8_6, all_8_4, simplifying with (7), % 14.49/2.88 | (16), (18) gives: % 14.49/2.88 | (28) ? [v0: $i] : ($i(v0) & reliability(all_8_6, v0, all_8_4)) % 14.49/2.88 | % 14.49/2.88 | DELTA: instantiating (28) with fresh symbol all_15_0 gives: % 14.49/2.88 | (29) $i(all_15_0) & reliability(all_8_6, all_15_0, all_8_4) % 14.49/2.88 | % 14.49/2.88 | ALPHA: (29) implies: % 14.49/2.88 | (30) reliability(all_8_6, all_15_0, all_8_4) % 14.49/2.88 | (31) $i(all_15_0) % 14.49/2.88 | % 14.49/2.88 | DELTA: instantiating (26) with fresh symbol all_17_0 gives: % 14.49/2.88 | (32) $i(all_17_0) & reproducibility(all_8_6, all_17_0, all_8_4) % 14.49/2.88 | % 14.49/2.88 | ALPHA: (32) implies: % 14.49/2.88 | (33) reproducibility(all_8_6, all_17_0, all_8_4) % 14.49/2.88 | (34) $i(all_17_0) % 14.49/2.88 | % 14.49/2.88 | DELTA: instantiating (24) with fresh symbol all_19_0 gives: % 14.49/2.88 | (35) $i(all_19_0) & accountability(all_8_7, all_19_0, all_8_5) % 14.49/2.88 | % 14.49/2.88 | ALPHA: (35) implies: % 14.49/2.88 | (36) accountability(all_8_7, all_19_0, all_8_5) % 14.49/2.88 | (37) $i(all_19_0) % 14.49/2.88 | % 14.49/2.88 | DELTA: instantiating (23) with fresh symbol all_21_0 gives: % 14.49/2.88 | (38) $i(all_21_0) & reproducibility(all_8_7, all_21_0, all_8_5) % 14.49/2.88 | % 14.49/2.88 | ALPHA: (38) implies: % 14.49/2.88 | (39) reproducibility(all_8_7, all_21_0, all_8_5) % 14.49/2.88 | (40) $i(all_21_0) % 14.49/2.88 | % 14.49/2.88 | DELTA: instantiating (25) with fresh symbol all_23_0 gives: % 14.49/2.88 | (41) $i(all_23_0) & reliability(all_8_7, all_23_0, all_8_5) % 14.49/2.88 | % 14.49/2.88 | ALPHA: (41) implies: % 14.49/2.88 | (42) reliability(all_8_7, all_23_0, all_8_5) % 14.49/2.88 | (43) $i(all_23_0) % 14.49/2.88 | % 14.49/2.88 | DELTA: instantiating (27) with fresh symbol all_25_0 gives: % 14.49/2.88 | (44) $i(all_25_0) & accountability(all_8_6, all_25_0, all_8_4) % 14.49/2.88 | % 14.49/2.88 | ALPHA: (44) implies: % 14.49/2.89 | (45) accountability(all_8_6, all_25_0, all_8_4) % 14.49/2.89 | (46) $i(all_25_0) % 14.49/2.89 | % 14.49/2.89 | GROUND_INST: instantiating (1) with all_8_7, all_8_6, all_8_5, all_8_4, % 14.49/2.89 | all_21_0, all_17_0, all_8_3, all_8_2, simplifying with (6), (7), % 14.49/2.89 | (10), (11), (12), (13), (14), (15), (16), (17), (18), (19), (20), % 14.49/2.89 | (33), (34), (39), (40) gives: % 14.49/2.89 | (47) greater(all_17_0, all_21_0) % 14.49/2.89 | % 14.49/2.89 | GROUND_INST: instantiating (3) with all_8_7, all_8_6, all_8_5, all_8_4, % 14.49/2.89 | all_23_0, all_15_0, all_19_0, all_25_0, all_21_0, all_17_0, % 14.49/2.89 | simplifying with (6), (7), (15), (16), (17), (18), (30), (31), % 14.49/2.89 | (33), (34), (36), (37), (39), (40), (42), (43), (45), (46), (47) % 14.49/2.89 | gives: % 14.49/2.89 | (48) greater(all_25_0, all_19_0) % 14.49/2.89 | % 14.49/2.89 | GROUND_INST: instantiating (2) with all_8_7, all_8_6, all_8_5, all_8_4, % 14.49/2.89 | all_23_0, all_15_0, all_19_0, all_25_0, all_21_0, all_17_0, % 14.49/2.89 | simplifying with (6), (7), (15), (16), (17), (18), (30), (31), % 14.49/2.89 | (33), (34), (36), (37), (39), (40), (42), (43), (45), (46), (47) % 14.49/2.89 | gives: % 14.49/2.89 | (49) greater(all_15_0, all_23_0) % 14.49/2.89 | % 14.49/2.90 | GROUND_INST: instantiating (a1_FOL) with all_8_7, all_8_6, all_23_0, all_15_0, % 14.49/2.90 | all_19_0, all_25_0, all_8_1, all_8_0, all_8_5, all_8_4, % 14.49/2.90 | simplifying with (5), (6), (7), (8), (9), (15), (16), (17), (18), % 14.49/2.90 | (21), (22), (30), (31), (36), (37), (42), (43), (45), (46), (48), % 14.49/2.90 | (49) gives: % 14.49/2.90 | (50) $false % 14.98/2.90 | % 14.98/2.90 | CLOSE: (50) is inconsistent. % 14.98/2.90 | % 14.98/2.90 End of proof % 14.98/2.90 % SZS output end Proof for theBenchmark % 14.98/2.90 % 14.98/2.90 2219ms %------------------------------------------------------------------------------