%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT004+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 : n012.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 4.33s 1.17s % Output : Proof 7.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT004+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.02 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.04/0.30 % Computer : n012.cluster.edu % 0.04/0.30 % Model : x86_64 x86_64 % 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/0.30 % Memory : 8046.5625MB % 0.04/0.30 % OS : Linux 6.8.0-71-generic % 0.04/0.30 % CPULimit : 300 % 0.04/0.30 % WCLimit : 300 % 0.04/0.30 % DateTime : Mon Sep 7 11:35:26 UTC 2026 % 0.04/0.30 % CPUTime : % 0.04/0.31 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. % 0.26/0.47 ________ _____ % 0.26/0.47 ___ __ \_________(_)________________________________ % 0.26/0.47 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.26/0.47 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.26/0.47 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.26/0.47 % 0.26/0.47 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.26/0.47 (2023-06-19) % 0.26/0.47 % 0.26/0.47 (c) Philipp Rümmer, 2009-2023 % 0.26/0.47 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.26/0.47 Amanda Stjerna. % 0.26/0.47 Free software under BSD-3-Clause. % 0.26/0.47 % 0.26/0.47 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.26/0.47 % 0.26/0.47 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.26/0.48 Running up to 7 provers in parallel. % 0.26/0.49 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.26/0.49 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.26/0.49 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.26/0.49 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.26/0.49 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.26/0.49 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.26/0.49 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.76/0.80 Prover 1: Preprocessing ... % 1.76/0.80 Prover 4: Preprocessing ... % 1.76/0.84 Prover 6: Preprocessing ... % 1.76/0.84 Prover 3: Preprocessing ... % 1.76/0.84 Prover 0: Preprocessing ... % 1.76/0.84 Prover 2: Preprocessing ... % 1.76/0.84 Prover 5: Preprocessing ... % 2.52/0.99 Prover 5: Constructing countermodel ... % 2.52/1.00 Prover 2: Constructing countermodel ... % 3.49/1.04 Prover 3: Constructing countermodel ... % 3.49/1.06 Prover 1: Constructing countermodel ... % 3.49/1.07 Prover 6: Constructing countermodel ... % 4.33/1.17 Prover 5: proved (680ms) % 4.33/1.17 % 4.33/1.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.33/1.17 % 4.33/1.18 Prover 3: stopped % 4.33/1.18 Prover 2: stopped % 4.33/1.18 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.33/1.18 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.33/1.18 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.33/1.18 Prover 6: stopped % 4.33/1.18 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.81/1.22 Prover 8: Preprocessing ... % 4.81/1.22 Prover 10: Preprocessing ... % 4.81/1.22 Prover 11: Preprocessing ... % 4.81/1.23 Prover 0: stopped % 4.81/1.24 Prover 7: Preprocessing ... % 4.81/1.24 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 4.81/1.26 Prover 13: Preprocessing ... % 4.81/1.27 Prover 7: Constructing countermodel ... % 4.81/1.28 Prover 10: Constructing countermodel ... % 5.58/1.35 Prover 13: Constructing countermodel ... % 5.58/1.36 Prover 8: Warning: ignoring some quantifiers % 5.58/1.37 Prover 8: Constructing countermodel ... % 6.38/1.43 Prover 7: Found proof (size 19) % 6.38/1.43 Prover 7: proved (250ms) % 6.38/1.43 Prover 10: Found proof (size 19) % 6.38/1.43 Prover 1: stopped % 6.38/1.43 Prover 8: stopped % 6.38/1.43 Prover 10: proved (252ms) % 6.38/1.44 Prover 13: stopped % 6.38/1.45 Prover 11: stopped % 7.48/1.61 Prover 4: Constructing countermodel ... % 7.48/1.63 Prover 4: stopped % 7.48/1.63 % 7.48/1.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.48/1.63 % 7.48/1.63 % SZS output start Proof for theBenchmark % 7.48/1.64 Assumptions after simplification: % 7.48/1.64 --------------------------------- % 7.48/1.64 % 7.48/1.64 (a1_FOL) % 7.48/1.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 7.48/1.65 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | % 7.48/1.65 ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 7.48/1.65 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ greater(v5, v4) | ~ greater(v3, v2) | % 7.48/1.65 ~ survival_chance(v1, v7, v9) | ~ survival_chance(v0, v6, v8) | ~ % 7.48/1.65 accountability(v1, v5, v9) | ~ accountability(v0, v4, v8) | ~ % 7.48/1.65 reliability(v1, v3, v9) | ~ reliability(v0, v2, v8) | ~ organization(v1, % 7.48/1.65 v9) | ~ organization(v0, v8) | greater(v7, v6)) % 7.48/1.65 % 7.48/1.65 (a6_FOL) % 7.48/1.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 7.48/1.66 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) | ~ % 7.48/1.66 $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 7.48/1.66 $i(v0) | ~ reorganization(v0, v7, v8) | ~ greater(v6, v5) | ~ % 7.48/1.66 accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) | ~ % 7.48/1.66 reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ organization(v0, % 7.48/1.66 v6) | ~ organization(v0, v5) | greater(v7, v5) | greater(v6, v8) | % 7.48/1.66 greater(v3, v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 7.48/1.66 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 7.48/1.66 $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 7.48/1.66 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v7, v8) | ~ % 7.48/1.66 greater(v6, v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, % 7.48/1.66 v5) | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ % 7.48/1.66 organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | % 7.48/1.66 greater(v6, v8) | greater(v1, v2)) % 7.48/1.66 % 7.48/1.66 (mp1) % 7.48/1.66 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) | % 7.48/1.66 ? [v2: $i] : ($i(v2) & reliability(v0, v2, v1))) % 7.48/1.66 % 7.48/1.66 (mp2) % 7.48/1.67 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) | % 7.48/1.67 ? [v2: $i] : ($i(v2) & accountability(v0, v2, v1))) % 7.48/1.67 % 7.48/1.67 (t4_FOL) % 7.48/1.67 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 7.48/1.67 $i] : ? [v6: $i] : ($i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 7.48/1.67 $i(v0) & reorganization(v0, v5, v6) & greater(v4, v3) & survival_chance(v0, % 7.48/1.67 v2, v4) & survival_chance(v0, v1, v3) & organization(v0, v4) & % 7.48/1.67 organization(v0, v3) & ~ greater(v5, v3) & ~ greater(v4, v6) & ~ % 7.48/1.67 greater(v1, v2)) % 7.48/1.67 % 7.48/1.67 Those formulas are unsatisfiable: % 7.48/1.67 --------------------------------- % 7.48/1.67 % 7.48/1.67 Begin of proof % 7.48/1.67 | % 7.48/1.67 | ALPHA: (a6_FOL) implies: % 7.48/1.67 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 7.48/1.67 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ % 7.48/1.67 | $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 7.48/1.68 | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v7, v8) | ~ greater(v6, % 7.48/1.68 | v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) % 7.48/1.68 | | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ % 7.48/1.68 | organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | % 7.48/1.68 | greater(v6, v8) | greater(v1, v2)) % 7.48/1.68 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 7.48/1.68 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ % 7.48/1.68 | $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 7.48/1.68 | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v7, v8) | ~ greater(v6, % 7.48/1.68 | v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) % 7.48/1.68 | | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ % 7.48/1.68 | organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | % 7.48/1.68 | greater(v6, v8) | greater(v3, v4)) % 7.48/1.68 | % 7.48/1.68 | DELTA: instantiating (t4_FOL) with fresh symbols all_6_0, all_6_1, all_6_2, % 7.48/1.68 | all_6_3, all_6_4, all_6_5, all_6_6 gives: % 7.48/1.68 | (3) $i(all_6_0) & $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & % 7.48/1.68 | $i(all_6_5) & $i(all_6_6) & reorganization(all_6_6, all_6_1, all_6_0) & % 7.48/1.68 | greater(all_6_2, all_6_3) & survival_chance(all_6_6, all_6_4, all_6_2) % 7.48/1.68 | & survival_chance(all_6_6, all_6_5, all_6_3) & organization(all_6_6, % 7.48/1.68 | all_6_2) & organization(all_6_6, all_6_3) & ~ greater(all_6_1, % 7.48/1.68 | all_6_3) & ~ greater(all_6_2, all_6_0) & ~ greater(all_6_5, % 7.48/1.68 | all_6_4) % 7.48/1.68 | % 7.48/1.68 | ALPHA: (3) implies: % 7.48/1.68 | (4) ~ greater(all_6_5, all_6_4) % 7.48/1.68 | (5) ~ greater(all_6_2, all_6_0) % 7.48/1.68 | (6) ~ greater(all_6_1, all_6_3) % 7.48/1.68 | (7) organization(all_6_6, all_6_3) % 7.48/1.68 | (8) organization(all_6_6, all_6_2) % 7.48/1.68 | (9) survival_chance(all_6_6, all_6_5, all_6_3) % 7.48/1.68 | (10) survival_chance(all_6_6, all_6_4, all_6_2) % 7.48/1.68 | (11) greater(all_6_2, all_6_3) % 7.48/1.68 | (12) reorganization(all_6_6, all_6_1, all_6_0) % 7.48/1.68 | (13) $i(all_6_6) % 7.48/1.69 | (14) $i(all_6_5) % 7.48/1.69 | (15) $i(all_6_4) % 7.48/1.69 | (16) $i(all_6_3) % 7.48/1.69 | (17) $i(all_6_2) % 7.48/1.69 | (18) $i(all_6_1) % 7.48/1.69 | (19) $i(all_6_0) % 7.48/1.69 | % 7.48/1.69 | GROUND_INST: instantiating (mp2) with all_6_6, all_6_3, simplifying with (7), % 7.48/1.69 | (13), (16) gives: % 7.48/1.69 | (20) ? [v0: $i] : ($i(v0) & accountability(all_6_6, v0, all_6_3)) % 7.48/1.69 | % 7.48/1.69 | GROUND_INST: instantiating (mp1) with all_6_6, all_6_3, simplifying with (7), % 7.48/1.69 | (13), (16) gives: % 7.48/1.69 | (21) ? [v0: $i] : ($i(v0) & reliability(all_6_6, v0, all_6_3)) % 7.48/1.69 | % 7.48/1.69 | GROUND_INST: instantiating (mp2) with all_6_6, all_6_2, simplifying with (8), % 7.48/1.69 | (13), (17) gives: % 7.48/1.69 | (22) ? [v0: $i] : ($i(v0) & accountability(all_6_6, v0, all_6_2)) % 7.48/1.69 | % 7.48/1.69 | GROUND_INST: instantiating (mp1) with all_6_6, all_6_2, simplifying with (8), % 7.48/1.69 | (13), (17) gives: % 7.48/1.69 | (23) ? [v0: $i] : ($i(v0) & reliability(all_6_6, v0, all_6_2)) % 7.48/1.69 | % 7.48/1.69 | DELTA: instantiating (23) with fresh symbol all_17_0 gives: % 7.48/1.69 | (24) $i(all_17_0) & reliability(all_6_6, all_17_0, all_6_2) % 7.48/1.69 | % 7.48/1.69 | ALPHA: (24) implies: % 7.48/1.69 | (25) reliability(all_6_6, all_17_0, all_6_2) % 7.48/1.69 | (26) $i(all_17_0) % 7.48/1.69 | % 7.48/1.69 | DELTA: instantiating (21) with fresh symbol all_19_0 gives: % 7.48/1.69 | (27) $i(all_19_0) & reliability(all_6_6, all_19_0, all_6_3) % 7.48/1.69 | % 7.48/1.69 | ALPHA: (27) implies: % 7.48/1.69 | (28) reliability(all_6_6, all_19_0, all_6_3) % 7.48/1.69 | (29) $i(all_19_0) % 7.48/1.69 | % 7.48/1.69 | DELTA: instantiating (20) with fresh symbol all_21_0 gives: % 7.48/1.69 | (30) $i(all_21_0) & accountability(all_6_6, all_21_0, all_6_3) % 7.48/1.69 | % 7.48/1.69 | ALPHA: (30) implies: % 7.48/1.69 | (31) accountability(all_6_6, all_21_0, all_6_3) % 7.48/1.69 | (32) $i(all_21_0) % 7.48/1.69 | % 7.48/1.69 | DELTA: instantiating (22) with fresh symbol all_23_0 gives: % 7.48/1.69 | (33) $i(all_23_0) & accountability(all_6_6, all_23_0, all_6_2) % 7.48/1.69 | % 7.48/1.69 | ALPHA: (33) implies: % 7.48/1.69 | (34) accountability(all_6_6, all_23_0, all_6_2) % 7.48/1.69 | (35) $i(all_23_0) % 7.48/1.69 | % 7.48/1.69 | GROUND_INST: instantiating (2) with all_6_6, all_19_0, all_17_0, all_21_0, % 7.48/1.69 | all_23_0, all_6_3, all_6_2, all_6_1, all_6_0, simplifying with % 7.48/1.69 | (5), (6), (7), (8), (11), (12), (13), (16), (17), (18), (19), % 7.48/1.69 | (25), (26), (28), (29), (31), (32), (34), (35) gives: % 7.48/1.69 | (36) greater(all_21_0, all_23_0) % 7.48/1.70 | % 7.96/1.70 | GROUND_INST: instantiating (1) with all_6_6, all_19_0, all_17_0, all_21_0, % 7.96/1.70 | all_23_0, all_6_3, all_6_2, all_6_1, all_6_0, simplifying with % 7.96/1.70 | (5), (6), (7), (8), (11), (12), (13), (16), (17), (18), (19), % 7.96/1.70 | (25), (26), (28), (29), (31), (32), (34), (35) gives: % 7.96/1.70 | (37) greater(all_19_0, all_17_0) % 7.96/1.70 | % 7.96/1.70 | GROUND_INST: instantiating (a1_FOL) with all_6_6, all_6_6, all_17_0, all_19_0, % 7.96/1.70 | all_23_0, all_21_0, all_6_4, all_6_5, all_6_2, all_6_3, % 7.96/1.70 | simplifying with (4), (7), (8), (9), (10), (13), (14), (15), % 7.96/1.70 | (16), (17), (25), (26), (28), (29), (31), (32), (34), (35), (36), % 7.96/1.70 | (37) gives: % 7.96/1.70 | (38) $false % 7.96/1.70 | % 7.96/1.70 | CLOSE: (38) is inconsistent. % 7.96/1.70 | % 7.96/1.70 End of proof % 7.96/1.70 % SZS output end Proof for theBenchmark % 7.96/1.70 % 7.96/1.70 1229ms %------------------------------------------------------------------------------