%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT005+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 : n009.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 19.00s 3.23s % Output : Proof 28.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT005+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.34 % Computer : n009.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Mon Sep 7 11:36:52 UTC 2026 % 0.09/0.35 % CPUTime : % 0.13/0.36 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. % 0.72/0.70 ________ _____ % 0.72/0.70 ___ __ \_________(_)________________________________ % 0.72/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.72/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.72/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.72/0.70 % 0.72/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.72/0.70 (2023-06-19) % 0.72/0.70 % 0.72/0.70 (c) Philipp Rümmer, 2009-2023 % 0.72/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.72/0.70 Amanda Stjerna. % 0.72/0.70 Free software under BSD-3-Clause. % 0.72/0.70 % 0.72/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.72/0.70 % 0.72/0.71 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.72/0.73 Running up to 7 provers in parallel. % 0.72/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.72/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.72/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.72/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.72/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.72/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.72/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.39/1.29 Prover 1: Preprocessing ... % 4.14/1.35 Prover 4: Preprocessing ... % 4.14/1.35 Prover 2: Preprocessing ... % 4.14/1.35 Prover 3: Preprocessing ... % 4.14/1.36 Prover 5: Preprocessing ... % 4.14/1.36 Prover 6: Preprocessing ... % 4.14/1.37 Prover 0: Preprocessing ... % 7.23/1.79 Prover 5: Constructing countermodel ... % 8.02/1.80 Prover 2: Constructing countermodel ... % 8.83/2.03 Prover 3: Constructing countermodel ... % 9.91/2.08 Prover 1: Constructing countermodel ... % 9.91/2.12 Prover 6: Constructing countermodel ... % 19.00/3.23 Prover 5: proved (2487ms) % 19.00/3.23 % 19.00/3.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 19.00/3.23 % 19.00/3.23 Prover 6: stopped % 19.00/3.23 Prover 2: stopped % 19.00/3.24 Prover 3: stopped % 19.00/3.24 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 19.00/3.24 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 19.00/3.24 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 19.00/3.24 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 19.75/3.31 Prover 8: Preprocessing ... % 19.75/3.32 Prover 7: Preprocessing ... % 19.75/3.34 Prover 11: Preprocessing ... % 19.75/3.38 Prover 10: Preprocessing ... % 19.75/3.38 Prover 7: Constructing countermodel ... % 20.54/3.42 Prover 8: Warning: ignoring some quantifiers % 20.54/3.43 Prover 10: Constructing countermodel ... % 20.54/3.43 Prover 8: Constructing countermodel ... % 24.50/3.99 Prover 10: Found proof (size 35) % 24.50/3.99 Prover 10: proved (754ms) % 24.50/3.99 Prover 8: stopped % 24.50/3.99 Prover 7: stopped % 24.50/3.99 Prover 1: stopped % 25.52/4.09 Prover 11: stopped % 26.96/4.33 Prover 4: Constructing countermodel ... % 26.96/4.37 Prover 4: stopped % 28.29/4.61 Prover 0: Proving ... % 28.29/4.64 Prover 0: stopped % 28.29/4.64 % 28.29/4.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 28.29/4.64 % 28.29/4.65 % SZS output start Proof for theBenchmark % 28.29/4.66 Assumptions after simplification: % 28.29/4.66 --------------------------------- % 28.29/4.66 % 28.29/4.66 (a10_FOL) % 28.29/4.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 28.29/4.68 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ $i(v8) | ~ $i(v7) | ~ % 28.29/4.68 $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 28.29/4.68 $i(v0) | ~ complexity(v1, v5, v6) | ~ complexity(v0, v4, v6) | ~ % 28.29/4.68 reorganization_type(v1, v2, v6) | ~ reorganization_type(v0, v2, v6) | ~ % 28.29/4.68 class(v1, v3, v6) | ~ class(v0, v3, v6) | ~ reorganization(v1, v6, v8) | % 28.29/4.68 ~ reorganization(v0, v6, v7) | ~ organization(v1, v8) | ~ organization(v1, % 28.29/4.68 v6) | ~ organization(v0, v6) | ~ greater(v5, v4) | greater(v8, v7)) % 28.29/4.68 % 28.29/4.68 (a11_FOL) % 28.29/4.69 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 28.29/4.69 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : % 28.29/4.69 ! [v11: $i] : (v6 = v5 | ~ $i(v11) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ % 28.29/4.69 $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 28.29/4.69 $i(v1) | ~ $i(v0) | ~ complexity(v1, v8, v9) | ~ complexity(v0, v7, v9) | % 28.29/4.69 ~ reorganization_type(v1, v2, v9) | ~ reorganization_type(v0, v2, v9) | ~ % 28.29/4.69 class(v1, v3, v9) | ~ class(v0, v3, v9) | ~ reorganization(v1, v9, v11) | % 28.29/4.69 ~ reorganization(v0, v9, v10) | ~ survival_chance(v1, v6, v10) | ~ % 28.29/4.69 survival_chance(v1, v4, v9) | ~ survival_chance(v0, v5, v10) | ~ % 28.29/4.69 survival_chance(v0, v4, v9) | ~ organization(v1, v10) | ~ organization(v1, % 28.29/4.69 v9) | ~ organization(v0, v10) | ~ organization(v0, v9) | ~ greater(v8, % 28.29/4.69 v7) | greater(v5, v6)) % 28.29/4.69 % 28.29/4.69 (mp11) % 28.29/4.69 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 28.29/4.69 ~ greater(v1, v2) | ~ greater(v0, v1) | greater(v0, v2)) % 28.29/4.69 % 28.29/4.69 (mp12) % 28.29/4.70 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v1) | % 28.29/4.70 ? [v2: $i] : ($i(v2) & survival_chance(v0, v2, v1))) % 28.29/4.70 % 28.29/4.70 (mp13) % 28.29/4.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 28.29/4.70 | ~ $i(v1) | ~ $i(v0) | ~ organization(v0, v3) | ~ organization(v0, v2) % 28.29/4.70 | ~ greater(v3, v1) | ~ greater(v1, v2) | organization(v0, v1)) % 28.29/4.70 % 28.29/4.70 (mp6_2) % 28.77/4.70 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ greater(v1, v0) | ~ % 28.77/4.70 greater(v0, v1)) % 28.77/4.70 % 28.77/4.70 (mp7) % 28.77/4.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 28.77/4.70 ~ reorganization(v0, v1, v2) | greater(v2, v1)) % 28.77/4.70 % 28.77/4.70 (t3_FOL) % 28.77/4.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 28.77/4.71 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 28.77/4.71 reorganization_free(v0, v3, v4) | ~ survival_chance(v0, v2, v4) | ~ % 28.77/4.71 survival_chance(v0, v1, v3) | ~ organization(v0, v4) | ~ organization(v0, % 28.77/4.71 v3) | ~ greater(v4, v3) | greater(v2, v1)) % 28.77/4.71 % 28.77/4.71 (t4_FOL) % 28.77/4.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 28.77/4.71 $i] : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 28.77/4.71 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ reorganization(v0, v5, v6) | ~ % 28.77/4.71 survival_chance(v0, v2, v4) | ~ survival_chance(v0, v1, v3) | ~ % 28.77/4.71 organization(v0, v4) | ~ organization(v0, v3) | ~ greater(v4, v3) | % 28.77/4.71 greater(v5, v3) | greater(v4, v6) | greater(v1, v2)) % 28.77/4.71 % 28.77/4.71 (t5_FOL) % 28.77/4.72 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 28.77/4.72 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 28.77/4.72 ? [v11: $i] : ($i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) % 28.77/4.72 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & complexity(v1, v8, v9) & % 28.77/4.72 complexity(v0, v7, v9) & reorganization_type(v1, v2, v9) & % 28.77/4.72 reorganization_type(v0, v2, v9) & class(v1, v3, v9) & class(v0, v3, v9) & % 28.77/4.72 reorganization_free(v0, v10, v11) & reorganization(v1, v9, v11) & % 28.77/4.72 reorganization(v0, v9, v10) & survival_chance(v1, v6, v11) & % 28.77/4.72 survival_chance(v1, v4, v9) & survival_chance(v0, v5, v11) & % 28.77/4.72 survival_chance(v0, v4, v9) & organization(v1, v11) & organization(v1, v9) & % 28.77/4.72 organization(v0, v11) & organization(v0, v9) & greater(v8, v7) & ~ % 28.77/4.72 greater(v5, v6)) % 28.77/4.72 % 28.77/4.72 Further assumptions not needed in the proof: % 28.77/4.72 -------------------------------------------- % 28.77/4.72 mp6_1 % 28.77/4.72 % 28.77/4.72 Those formulas are unsatisfiable: % 28.77/4.72 --------------------------------- % 28.77/4.72 % 28.77/4.72 Begin of proof % 28.77/4.72 | % 28.77/4.72 | DELTA: instantiating (t5_FOL) with fresh symbols all_12_0, all_12_1, all_12_2, % 28.77/4.72 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9, % 28.77/4.72 | all_12_10, all_12_11 gives: % 28.77/4.73 | (1) $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) & % 28.77/4.73 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) & % 28.77/4.73 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) & % 28.77/4.73 | complexity(all_12_10, all_12_3, all_12_2) & complexity(all_12_11, % 28.77/4.73 | all_12_4, all_12_2) & reorganization_type(all_12_10, all_12_9, % 28.77/4.73 | all_12_2) & reorganization_type(all_12_11, all_12_9, all_12_2) & % 28.77/4.73 | class(all_12_10, all_12_8, all_12_2) & class(all_12_11, all_12_8, % 28.77/4.73 | all_12_2) & reorganization_free(all_12_11, all_12_1, all_12_0) & % 28.77/4.73 | reorganization(all_12_10, all_12_2, all_12_0) & % 28.77/4.73 | reorganization(all_12_11, all_12_2, all_12_1) & % 28.77/4.73 | survival_chance(all_12_10, all_12_5, all_12_0) & % 28.77/4.73 | survival_chance(all_12_10, all_12_7, all_12_2) & % 28.77/4.73 | survival_chance(all_12_11, all_12_6, all_12_0) & % 28.77/4.73 | survival_chance(all_12_11, all_12_7, all_12_2) & % 28.77/4.73 | organization(all_12_10, all_12_0) & organization(all_12_10, all_12_2) & % 28.77/4.73 | organization(all_12_11, all_12_0) & organization(all_12_11, all_12_2) & % 28.77/4.73 | greater(all_12_3, all_12_4) & ~ greater(all_12_6, all_12_5) % 28.77/4.73 | % 28.77/4.73 | ALPHA: (1) implies: % 28.77/4.73 | (2) ~ greater(all_12_6, all_12_5) % 28.77/4.73 | (3) greater(all_12_3, all_12_4) % 28.77/4.73 | (4) organization(all_12_11, all_12_2) % 28.77/4.73 | (5) organization(all_12_11, all_12_0) % 28.77/4.73 | (6) organization(all_12_10, all_12_2) % 28.77/4.73 | (7) organization(all_12_10, all_12_0) % 28.77/4.73 | (8) survival_chance(all_12_11, all_12_7, all_12_2) % 28.77/4.74 | (9) survival_chance(all_12_11, all_12_6, all_12_0) % 28.77/4.74 | (10) survival_chance(all_12_10, all_12_7, all_12_2) % 28.77/4.74 | (11) survival_chance(all_12_10, all_12_5, all_12_0) % 28.77/4.74 | (12) reorganization(all_12_11, all_12_2, all_12_1) % 28.77/4.74 | (13) reorganization(all_12_10, all_12_2, all_12_0) % 28.77/4.74 | (14) reorganization_free(all_12_11, all_12_1, all_12_0) % 28.77/4.74 | (15) class(all_12_11, all_12_8, all_12_2) % 28.77/4.74 | (16) class(all_12_10, all_12_8, all_12_2) % 28.77/4.74 | (17) reorganization_type(all_12_11, all_12_9, all_12_2) % 28.77/4.74 | (18) reorganization_type(all_12_10, all_12_9, all_12_2) % 28.77/4.74 | (19) complexity(all_12_11, all_12_4, all_12_2) % 28.77/4.74 | (20) complexity(all_12_10, all_12_3, all_12_2) % 28.77/4.74 | (21) $i(all_12_11) % 28.77/4.74 | (22) $i(all_12_10) % 28.77/4.74 | (23) $i(all_12_9) % 28.77/4.74 | (24) $i(all_12_8) % 28.77/4.74 | (25) $i(all_12_7) % 28.77/4.74 | (26) $i(all_12_6) % 28.77/4.74 | (27) $i(all_12_5) % 28.77/4.74 | (28) $i(all_12_4) % 28.77/4.74 | (29) $i(all_12_3) % 28.77/4.74 | (30) $i(all_12_2) % 28.77/4.74 | (31) $i(all_12_1) % 28.77/4.74 | (32) $i(all_12_0) % 28.77/4.74 | % 28.77/4.74 | GROUND_INST: instantiating (mp7) with all_12_11, all_12_2, all_12_1, % 28.77/4.74 | simplifying with (12), (21), (30), (31) gives: % 28.77/4.74 | (33) greater(all_12_1, all_12_2) % 28.77/4.74 | % 28.77/4.74 | GROUND_INST: instantiating (a10_FOL) with all_12_11, all_12_10, all_12_9, % 28.77/4.74 | all_12_8, all_12_4, all_12_3, all_12_2, all_12_1, all_12_0, % 28.77/4.74 | simplifying with (3), (4), (6), (7), (12), (13), (15), (16), % 28.77/4.75 | (17), (18), (19), (20), (21), (22), (23), (24), (28), (29), (30), % 28.77/4.75 | (31), (32) gives: % 28.77/4.75 | (34) greater(all_12_0, all_12_1) % 28.77/4.75 | % 28.77/4.75 | GROUND_INST: instantiating (mp13) with all_12_10, all_12_1, all_12_2, % 28.77/4.75 | all_12_0, simplifying with (6), (7), (22), (30), (31), (32), % 28.77/4.75 | (33), (34) gives: % 28.77/4.75 | (35) organization(all_12_10, all_12_1) % 28.77/4.75 | % 28.77/4.75 | GROUND_INST: instantiating (mp13) with all_12_11, all_12_1, all_12_2, % 28.77/4.75 | all_12_0, simplifying with (4), (5), (21), (30), (31), (32), % 28.77/4.75 | (33), (34) gives: % 28.77/4.75 | (36) organization(all_12_11, all_12_1) % 28.77/4.75 | % 28.77/4.75 | GROUND_INST: instantiating (mp12) with all_12_11, all_12_1, simplifying with % 28.77/4.75 | (21), (31), (36) gives: % 28.77/4.75 | (37) ? [v0: $i] : ($i(v0) & survival_chance(all_12_11, v0, all_12_1)) % 28.77/4.75 | % 28.77/4.75 | GROUND_INST: instantiating (mp12) with all_12_10, all_12_1, simplifying with % 28.77/4.75 | (22), (31), (35) gives: % 28.77/4.75 | (38) ? [v0: $i] : ($i(v0) & survival_chance(all_12_10, v0, all_12_1)) % 28.77/4.75 | % 28.77/4.75 | DELTA: instantiating (38) with fresh symbol all_39_0 gives: % 28.77/4.75 | (39) $i(all_39_0) & survival_chance(all_12_10, all_39_0, all_12_1) % 28.77/4.75 | % 28.77/4.75 | ALPHA: (39) implies: % 28.77/4.75 | (40) survival_chance(all_12_10, all_39_0, all_12_1) % 28.77/4.75 | (41) $i(all_39_0) % 28.77/4.75 | % 28.77/4.75 | DELTA: instantiating (37) with fresh symbol all_41_0 gives: % 28.77/4.75 | (42) $i(all_41_0) & survival_chance(all_12_11, all_41_0, all_12_1) % 28.77/4.75 | % 28.77/4.75 | ALPHA: (42) implies: % 28.77/4.75 | (43) survival_chance(all_12_11, all_41_0, all_12_1) % 28.77/4.75 | (44) $i(all_41_0) % 28.77/4.75 | % 28.77/4.75 | GROUND_INST: instantiating (t3_FOL) with all_12_11, all_41_0, all_12_6, % 28.77/4.75 | all_12_1, all_12_0, simplifying with (5), (9), (14), (21), (26), % 28.77/4.75 | (31), (32), (34), (36), (43), (44) gives: % 28.77/4.76 | (45) greater(all_12_6, all_41_0) % 28.77/4.76 | % 28.77/4.76 | GROUND_INST: instantiating (a11_FOL) with all_12_11, all_12_10, all_12_9, % 28.77/4.76 | all_12_8, all_12_7, all_41_0, all_39_0, all_12_4, all_12_3, % 28.77/4.76 | all_12_2, all_12_1, all_12_0, simplifying with (3), (4), (6), % 28.77/4.76 | (8), (10), (12), (13), (15), (16), (17), (18), (19), (20), (21), % 28.77/4.76 | (22), (23), (24), (25), (28), (29), (30), (31), (32), (35), (36), % 28.77/4.76 | (40), (41), (43), (44) gives: % 28.77/4.76 | (46) all_41_0 = all_39_0 | greater(all_41_0, all_39_0) % 28.77/4.76 | % 28.77/4.76 | GROUND_INST: instantiating (t4_FOL) with all_12_10, all_39_0, all_12_5, % 28.77/4.76 | all_12_1, all_12_0, all_12_2, all_12_0, simplifying with (7), % 28.77/4.76 | (11), (13), (22), (27), (30), (31), (32), (34), (35), (40), (41) % 28.77/4.76 | gives: % 28.77/4.76 | (47) greater(all_39_0, all_12_5) | greater(all_12_0, all_12_0) | % 28.77/4.76 | greater(all_12_2, all_12_1) % 28.77/4.76 | % 28.77/4.76 | BETA: splitting (47) gives: % 28.77/4.76 | % 28.77/4.76 | Case 1: % 28.77/4.76 | | % 28.77/4.76 | | (48) greater(all_39_0, all_12_5) % 28.77/4.76 | | % 28.77/4.76 | | BETA: splitting (46) gives: % 28.77/4.76 | | % 28.77/4.76 | | Case 1: % 28.77/4.76 | | | % 28.77/4.76 | | | (49) greater(all_41_0, all_39_0) % 28.77/4.76 | | | % 28.77/4.77 | | | GROUND_INST: instantiating (mp11) with all_41_0, all_39_0, all_12_5, % 28.77/4.77 | | | simplifying with (27), (41), (44), (48), (49) gives: % 28.77/4.77 | | | (50) greater(all_41_0, all_12_5) % 28.77/4.77 | | | % 28.77/4.77 | | | GROUND_INST: instantiating (mp11) with all_12_6, all_41_0, all_12_5, % 28.77/4.77 | | | simplifying with (2), (26), (27), (44), (45), (50) gives: % 28.77/4.77 | | | (51) $false % 28.77/4.77 | | | % 28.77/4.77 | | | CLOSE: (51) is inconsistent. % 28.77/4.77 | | | % 28.77/4.77 | | Case 2: % 28.77/4.77 | | | % 28.77/4.77 | | | (52) all_41_0 = all_39_0 % 28.77/4.77 | | | % 28.77/4.77 | | | REDUCE: (45), (52) imply: % 28.77/4.77 | | | (53) greater(all_12_6, all_39_0) % 28.77/4.77 | | | % 28.77/4.77 | | | GROUND_INST: instantiating (mp11) with all_12_6, all_39_0, all_12_5, % 28.77/4.77 | | | simplifying with (2), (26), (27), (41), (48), (53) gives: % 28.77/4.77 | | | (54) $false % 28.77/4.77 | | | % 28.77/4.77 | | | CLOSE: (54) is inconsistent. % 28.77/4.77 | | | % 28.77/4.77 | | End of split % 28.77/4.77 | | % 28.77/4.77 | Case 2: % 28.77/4.77 | | % 28.77/4.77 | | (55) greater(all_12_0, all_12_0) | greater(all_12_2, all_12_1) % 28.77/4.77 | | % 28.77/4.77 | | BETA: splitting (55) gives: % 28.77/4.77 | | % 28.77/4.77 | | Case 1: % 28.77/4.77 | | | % 28.77/4.77 | | | (56) greater(all_12_0, all_12_0) % 28.77/4.77 | | | % 28.77/4.77 | | | GROUND_INST: instantiating (mp6_2) with all_12_0, all_12_0, simplifying % 28.77/4.77 | | | with (32), (56) gives: % 28.77/4.77 | | | (57) $false % 28.77/4.77 | | | % 28.77/4.77 | | | CLOSE: (57) is inconsistent. % 28.77/4.77 | | | % 28.77/4.77 | | Case 2: % 28.77/4.77 | | | % 28.77/4.77 | | | (58) greater(all_12_2, all_12_1) % 28.77/4.77 | | | % 28.77/4.77 | | | GROUND_INST: instantiating (mp11) with all_12_2, all_12_1, all_12_2, % 28.77/4.77 | | | simplifying with (30), (31), (33), (58) gives: % 28.77/4.77 | | | (59) greater(all_12_2, all_12_2) % 28.77/4.77 | | | % 28.77/4.78 | | | GROUND_INST: instantiating (mp6_2) with all_12_2, all_12_2, simplifying % 28.77/4.78 | | | with (30), (59) gives: % 28.77/4.78 | | | (60) $false % 28.77/4.78 | | | % 28.77/4.78 | | | CLOSE: (60) is inconsistent. % 28.77/4.78 | | | % 28.77/4.78 | | End of split % 28.77/4.78 | | % 28.77/4.78 | End of split % 28.77/4.78 | % 28.77/4.78 End of proof % 28.77/4.78 % SZS output end Proof for theBenchmark % 28.77/4.78 % 28.77/4.78 4069ms %------------------------------------------------------------------------------