%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT007+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 : n026.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 06:17:18 AM UTC 2026 % Result : Theorem 8.67s 1.98s % Output : Proof 15.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT007+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.07/0.35 % Computer : n026.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Mon Sep 7 11:46:12 UTC 2026 % 0.07/0.36 % CPUTime : % 0.13/0.37 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. % 0.70/0.72 ________ _____ % 0.70/0.72 ___ __ \_________(_)________________________________ % 0.70/0.72 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.70/0.72 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.70/0.72 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.70/0.72 % 0.70/0.72 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.70/0.72 (2023-06-19) % 0.70/0.72 % 0.70/0.72 (c) Philipp Rümmer, 2009-2023 % 0.70/0.72 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.70/0.72 Amanda Stjerna. % 0.70/0.72 Free software under BSD-3-Clause. % 0.70/0.72 % 0.70/0.72 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.70/0.72 % 0.70/0.72 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.70/0.74 Running up to 7 provers in parallel. % 0.70/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.70/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.70/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.70/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.70/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.70/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.70/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.72/1.14 Prover 4: Preprocessing ... % 2.72/1.15 Prover 1: Preprocessing ... % 3.20/1.22 Prover 6: Preprocessing ... % 3.20/1.22 Prover 5: Preprocessing ... % 3.20/1.22 Prover 2: Preprocessing ... % 3.20/1.22 Prover 3: Preprocessing ... % 3.20/1.22 Prover 0: Preprocessing ... % 4.74/1.44 Prover 5: Constructing countermodel ... % 4.74/1.46 Prover 2: Constructing countermodel ... % 5.53/1.59 Prover 3: Constructing countermodel ... % 5.53/1.60 Prover 6: Constructing countermodel ... % 6.36/1.62 Prover 1: Constructing countermodel ... % 8.67/1.98 Prover 2: proved (1226ms) % 8.67/1.98 % 8.67/1.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.67/1.98 % 8.67/1.98 Prover 3: stopped % 8.67/1.98 Prover 6: stopped % 8.67/1.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.67/1.99 Prover 5: stopped % 8.67/1.99 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.67/1.99 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.67/2.00 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.70/2.07 Prover 7: Preprocessing ... % 9.70/2.07 Prover 8: Preprocessing ... % 9.70/2.09 Prover 10: Preprocessing ... % 9.70/2.11 Prover 11: Preprocessing ... % 10.53/2.17 Prover 7: Constructing countermodel ... % 10.53/2.20 Prover 10: Constructing countermodel ... % 10.98/2.23 Prover 8: Warning: ignoring some quantifiers % 10.98/2.25 Prover 8: Constructing countermodel ... % 12.58/2.43 Prover 7: Found proof (size 20) % 12.58/2.43 Prover 7: proved (449ms) % 12.58/2.44 Prover 11: stopped % 12.58/2.44 Prover 10: stopped % 12.58/2.44 Prover 8: stopped % 12.58/2.44 Prover 1: stopped % 13.87/2.64 Prover 4: Constructing countermodel ... % 13.87/2.67 Prover 4: stopped % 15.33/2.99 Prover 0: Proving ... % 15.33/3.01 Prover 0: stopped % 15.33/3.01 % 15.33/3.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 15.33/3.01 % 15.33/3.02 % SZS output start Proof for theBenchmark % 15.33/3.02 Assumptions after simplification: % 15.33/3.02 --------------------------------- % 15.33/3.02 % 15.33/3.02 (a2_FOL) % 15.92/3.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 15.92/3.05 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | % 15.92/3.05 ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 15.92/3.05 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) | ~ reproducibility(v1, % 15.92/3.05 v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | % 15.92/3.05 ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ % 15.92/3.05 reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) % 15.92/3.05 | greater(v7, v6)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 15.92/3.05 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: % 15.92/3.05 $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) % 15.92/3.05 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v9, v8) | ~ % 15.92/3.05 reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ % 15.92/3.05 accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ % 15.92/3.05 reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1, % 15.92/3.05 v3) | ~ organization(v0, v2) | greater(v5, v4)) & ! [v0: $i] : ! [v1: % 15.92/3.05 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : % 15.92/3.05 ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | % 15.92/3.05 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 15.92/3.05 $i(v0) | ~ greater(v7, v6) | ~ greater(v5, v4) | ~ reproducibility(v1, % 15.92/3.05 v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | % 15.92/3.05 ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ % 15.92/3.05 reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) % 15.92/3.05 | greater(v9, v8)) % 15.92/3.05 % 15.92/3.05 (a6_FOL) % 15.92/3.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 15.92/3.06 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) | ~ % 15.92/3.06 $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 15.92/3.06 $i(v0) | ~ reorganization(v0, v7, v8) | ~ greater(v6, v5) | ~ % 15.92/3.06 accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) | ~ % 15.92/3.06 reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ organization(v0, % 15.92/3.06 v6) | ~ organization(v0, v5) | greater(v7, v5) | greater(v6, v8) | % 15.92/3.06 greater(v3, v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 15.92/3.06 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 15.92/3.06 $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 15.92/3.06 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v7, v8) | ~ % 15.92/3.06 greater(v6, v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, % 15.92/3.06 v5) | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ % 15.92/3.06 organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | % 15.92/3.06 greater(v6, v8) | greater(v1, v2)) % 15.92/3.06 % 15.92/3.06 (mp1) % 15.92/3.07 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) | % 15.92/3.07 ? [v2: $i] : ($i(v2) & reliability(v0, v2, v1))) % 15.92/3.07 % 15.92/3.07 (mp2) % 15.92/3.07 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) | % 15.92/3.07 ? [v2: $i] : ($i(v2) & accountability(v0, v2, v1))) % 15.92/3.07 % 15.92/3.07 (t7_FOL) % 15.92/3.07 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 15.92/3.07 $i] : ? [v6: $i] : ($i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 15.92/3.07 $i(v0) & reorganization(v0, v5, v6) & greater(v4, v3) & reproducibility(v0, % 15.92/3.07 v2, v4) & reproducibility(v0, v1, v3) & organization(v0, v4) & % 15.92/3.07 organization(v0, v3) & ~ greater(v5, v3) & ~ greater(v4, v6) & ~ % 15.92/3.07 greater(v1, v2)) % 15.92/3.07 % 15.92/3.07 Further assumptions not needed in the proof: % 15.92/3.07 -------------------------------------------- % 15.92/3.07 mp_not_in_TR % 15.92/3.07 % 15.92/3.07 Those formulas are unsatisfiable: % 15.92/3.07 --------------------------------- % 15.92/3.07 % 15.92/3.07 Begin of proof % 15.92/3.07 | % 15.92/3.08 | ALPHA: (a6_FOL) implies: % 15.92/3.08 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 15.92/3.08 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ % 15.92/3.08 | $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 15.92/3.08 | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v7, v8) | ~ greater(v6, % 15.92/3.08 | v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) % 15.92/3.08 | | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ % 15.92/3.08 | organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | % 15.92/3.08 | greater(v6, v8) | greater(v1, v2)) % 15.92/3.08 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 15.92/3.08 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ % 15.92/3.08 | $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 15.92/3.08 | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v7, v8) | ~ greater(v6, % 15.92/3.08 | v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) % 15.92/3.08 | | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ % 15.92/3.08 | organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | % 15.92/3.08 | greater(v6, v8) | greater(v3, v4)) % 15.92/3.08 | % 15.92/3.08 | ALPHA: (a2_FOL) implies: % 15.92/3.09 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 15.92/3.09 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( % 15.92/3.09 | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) % 15.92/3.09 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v7, v6) % 15.92/3.09 | | ~ greater(v5, v4) | ~ reproducibility(v1, v9, v3) | ~ % 15.92/3.09 | reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | ~ % 15.92/3.09 | accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ % 15.92/3.09 | reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ % 15.92/3.09 | organization(v0, v2) | greater(v9, v8)) % 15.92/3.09 | % 15.92/3.09 | DELTA: instantiating (t7_FOL) with fresh symbols all_7_0, all_7_1, all_7_2, % 15.92/3.09 | all_7_3, all_7_4, all_7_5, all_7_6 gives: % 15.92/3.09 | (4) $i(all_7_0) & $i(all_7_1) & $i(all_7_2) & $i(all_7_3) & $i(all_7_4) & % 15.92/3.09 | $i(all_7_5) & $i(all_7_6) & reorganization(all_7_6, all_7_1, all_7_0) & % 15.92/3.09 | greater(all_7_2, all_7_3) & reproducibility(all_7_6, all_7_4, all_7_2) % 15.92/3.09 | & reproducibility(all_7_6, all_7_5, all_7_3) & organization(all_7_6, % 15.92/3.09 | all_7_2) & organization(all_7_6, all_7_3) & ~ greater(all_7_1, % 15.92/3.09 | all_7_3) & ~ greater(all_7_2, all_7_0) & ~ greater(all_7_5, % 15.92/3.09 | all_7_4) % 15.92/3.09 | % 15.92/3.09 | ALPHA: (4) implies: % 15.92/3.10 | (5) ~ greater(all_7_5, all_7_4) % 15.92/3.10 | (6) ~ greater(all_7_2, all_7_0) % 15.92/3.10 | (7) ~ greater(all_7_1, all_7_3) % 15.92/3.10 | (8) organization(all_7_6, all_7_3) % 15.92/3.10 | (9) organization(all_7_6, all_7_2) % 15.92/3.10 | (10) reproducibility(all_7_6, all_7_5, all_7_3) % 15.92/3.10 | (11) reproducibility(all_7_6, all_7_4, all_7_2) % 15.92/3.10 | (12) greater(all_7_2, all_7_3) % 15.92/3.10 | (13) reorganization(all_7_6, all_7_1, all_7_0) % 15.92/3.10 | (14) $i(all_7_6) % 15.92/3.10 | (15) $i(all_7_5) % 15.92/3.10 | (16) $i(all_7_4) % 15.92/3.10 | (17) $i(all_7_3) % 15.92/3.10 | (18) $i(all_7_2) % 15.92/3.10 | (19) $i(all_7_1) % 15.92/3.10 | (20) $i(all_7_0) % 15.92/3.10 | % 15.92/3.10 | GROUND_INST: instantiating (mp2) with all_7_6, all_7_3, simplifying with (8), % 15.92/3.10 | (14), (17) gives: % 15.92/3.10 | (21) ? [v0: $i] : ($i(v0) & accountability(all_7_6, v0, all_7_3)) % 15.92/3.10 | % 15.92/3.10 | GROUND_INST: instantiating (mp1) with all_7_6, all_7_3, simplifying with (8), % 15.92/3.10 | (14), (17) gives: % 15.92/3.10 | (22) ? [v0: $i] : ($i(v0) & reliability(all_7_6, v0, all_7_3)) % 15.92/3.10 | % 15.92/3.10 | GROUND_INST: instantiating (mp2) with all_7_6, all_7_2, simplifying with (9), % 15.92/3.10 | (14), (18) gives: % 15.92/3.10 | (23) ? [v0: $i] : ($i(v0) & accountability(all_7_6, v0, all_7_2)) % 15.92/3.10 | % 15.92/3.11 | GROUND_INST: instantiating (mp1) with all_7_6, all_7_2, simplifying with (9), % 15.92/3.11 | (14), (18) gives: % 15.92/3.11 | (24) ? [v0: $i] : ($i(v0) & reliability(all_7_6, v0, all_7_2)) % 15.92/3.11 | % 15.92/3.11 | DELTA: instantiating (24) with fresh symbol all_18_0 gives: % 15.92/3.11 | (25) $i(all_18_0) & reliability(all_7_6, all_18_0, all_7_2) % 15.92/3.11 | % 15.92/3.11 | ALPHA: (25) implies: % 15.92/3.11 | (26) reliability(all_7_6, all_18_0, all_7_2) % 15.92/3.11 | (27) $i(all_18_0) % 15.92/3.11 | % 15.92/3.11 | DELTA: instantiating (21) with fresh symbol all_22_0 gives: % 15.92/3.11 | (28) $i(all_22_0) & accountability(all_7_6, all_22_0, all_7_3) % 15.92/3.11 | % 15.92/3.11 | ALPHA: (28) implies: % 15.92/3.11 | (29) accountability(all_7_6, all_22_0, all_7_3) % 15.92/3.11 | (30) $i(all_22_0) % 15.92/3.11 | % 15.92/3.11 | DELTA: instantiating (22) with fresh symbol all_26_0 gives: % 15.92/3.11 | (31) $i(all_26_0) & reliability(all_7_6, all_26_0, all_7_3) % 15.92/3.11 | % 15.92/3.11 | ALPHA: (31) implies: % 15.92/3.11 | (32) reliability(all_7_6, all_26_0, all_7_3) % 15.92/3.11 | (33) $i(all_26_0) % 15.92/3.11 | % 15.92/3.11 | DELTA: instantiating (23) with fresh symbol all_28_0 gives: % 15.92/3.11 | (34) $i(all_28_0) & accountability(all_7_6, all_28_0, all_7_2) % 15.92/3.11 | % 15.92/3.11 | ALPHA: (34) implies: % 15.92/3.11 | (35) accountability(all_7_6, all_28_0, all_7_2) % 15.92/3.11 | (36) $i(all_28_0) % 15.92/3.11 | % 15.92/3.11 | GROUND_INST: instantiating (2) with all_7_6, all_26_0, all_18_0, all_22_0, % 15.92/3.11 | all_28_0, all_7_3, all_7_2, all_7_1, all_7_0, simplifying with % 15.92/3.11 | (6), (7), (8), (9), (12), (13), (14), (17), (18), (19), (20), % 15.92/3.12 | (26), (27), (29), (30), (32), (33), (35), (36) gives: % 15.92/3.12 | (37) greater(all_22_0, all_28_0) % 15.92/3.12 | % 15.92/3.12 | GROUND_INST: instantiating (1) with all_7_6, all_26_0, all_18_0, all_22_0, % 15.92/3.12 | all_28_0, all_7_3, all_7_2, all_7_1, all_7_0, simplifying with % 15.92/3.12 | (6), (7), (8), (9), (12), (13), (14), (17), (18), (19), (20), % 15.92/3.12 | (26), (27), (29), (30), (32), (33), (35), (36) gives: % 15.92/3.12 | (38) greater(all_26_0, all_18_0) % 15.92/3.12 | % 15.92/3.12 | GROUND_INST: instantiating (3) with all_7_6, all_7_6, all_7_2, all_7_3, % 15.92/3.12 | all_18_0, all_26_0, all_28_0, all_22_0, all_7_4, all_7_5, % 15.92/3.12 | simplifying with (5), (8), (9), (10), (11), (14), (15), (16), % 15.92/3.12 | (17), (18), (26), (27), (29), (30), (32), (33), (35), (36), (37), % 15.92/3.12 | (38) gives: % 15.92/3.12 | (39) $false % 15.92/3.13 | % 15.92/3.13 | CLOSE: (39) is inconsistent. % 15.92/3.13 | % 15.92/3.13 End of proof % 15.92/3.13 % SZS output end Proof for theBenchmark % 15.92/3.13 % 15.92/3.13 2407ms %------------------------------------------------------------------------------