%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SET621+3 : TPTP v8.1.2. Released v2.2.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 15:25:41 EDT 2023 % Result : Theorem 6.45s 1.68s % Output : Proof 8.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET621+3 : TPTP v8.1.2. Released v2.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n026.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sat Aug 26 09:05:03 EDT 2023 % 0.13/0.34 % 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/sandbox2/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 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 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 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 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 % 2.19/1.03 Prover 1: Preprocessing ... % 2.19/1.03 Prover 4: Preprocessing ... % 2.67/1.08 Prover 5: Preprocessing ... % 2.67/1.08 Prover 0: Preprocessing ... % 2.67/1.08 Prover 3: Preprocessing ... % 2.67/1.08 Prover 2: Preprocessing ... % 2.67/1.08 Prover 6: Preprocessing ... % 4.53/1.42 Prover 1: Warning: ignoring some quantifiers % 4.53/1.43 Prover 3: Warning: ignoring some quantifiers % 4.53/1.46 Prover 3: Constructing countermodel ... % 4.53/1.46 Prover 5: Proving ... % 4.53/1.46 Prover 6: Proving ... % 4.53/1.46 Prover 1: Constructing countermodel ... % 4.53/1.47 Prover 4: Warning: ignoring some quantifiers % 4.53/1.49 Prover 4: Constructing countermodel ... % 4.53/1.51 Prover 2: Proving ... % 4.53/1.52 Prover 0: Proving ... % 6.45/1.68 Prover 3: proved (1031ms) % 6.45/1.68 % 6.45/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.45/1.68 % 6.45/1.68 Prover 0: stopped % 6.45/1.68 Prover 6: stopped % 6.45/1.69 Prover 2: stopped % 6.45/1.69 Prover 5: stopped % 6.45/1.70 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.45/1.70 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.45/1.70 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.45/1.70 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.45/1.71 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.45/1.71 Prover 8: Preprocessing ... % 6.45/1.72 Prover 7: Preprocessing ... % 6.45/1.72 Prover 10: Preprocessing ... % 6.93/1.73 Prover 11: Preprocessing ... % 6.93/1.74 Prover 13: Preprocessing ... % 7.22/1.79 Prover 1: Found proof (size 28) % 7.22/1.79 Prover 1: proved (1153ms) % 7.22/1.79 Prover 4: stopped % 7.22/1.80 Prover 13: stopped % 7.22/1.80 Prover 7: Warning: ignoring some quantifiers % 7.22/1.80 Prover 8: Warning: ignoring some quantifiers % 7.22/1.80 Prover 10: Warning: ignoring some quantifiers % 7.22/1.81 Prover 7: Constructing countermodel ... % 7.22/1.81 Prover 8: Constructing countermodel ... % 7.22/1.81 Prover 8: stopped % 7.22/1.81 Prover 7: stopped % 7.22/1.82 Prover 10: Constructing countermodel ... % 7.22/1.82 Prover 10: stopped % 7.73/1.85 Prover 11: Warning: ignoring some quantifiers % 7.73/1.85 Prover 11: Constructing countermodel ... % 7.73/1.86 Prover 11: stopped % 7.73/1.86 % 7.73/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.73/1.86 % 7.90/1.87 % SZS output start Proof for theBenchmark % 7.90/1.87 Assumptions after simplification: % 7.90/1.87 --------------------------------- % 7.90/1.87 % 7.90/1.87 (commutativity_of_union) % 7.90/1.90 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (union(v0, v1) = v2) | ~ $i(v1) % 7.90/1.90 | ~ $i(v0) | (union(v1, v0) = v2 & $i(v2))) % 7.90/1.90 % 7.90/1.90 (difference_difference_union) % 7.90/1.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 7.90/1.91 (difference(v0, v3) = v4) | ~ (union(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) % 7.90/1.91 | ~ $i(v0) | ? [v5: $i] : (difference(v5, v2) = v4 & difference(v0, v1) = % 7.90/1.91 v5 & $i(v5) & $i(v4))) % 7.90/1.91 % 7.90/1.91 (difference_distributes_over_union) % 7.90/1.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 7.90/1.91 $i] : ( ~ (difference(v1, v2) = v4) | ~ (difference(v0, v2) = v3) | ~ % 7.90/1.91 (union(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : % 7.90/1.91 (difference(v6, v2) = v5 & union(v0, v1) = v6 & $i(v6) & $i(v5))) % 7.90/1.91 % 7.90/1.91 (prove_th97) % 7.90/1.91 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 7.90/1.91 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ( ~ (v9 = v4) % 7.90/1.91 & difference(v3, v2) = v4 & difference(v1, v7) = v8 & difference(v0, v5) = % 7.90/1.91 v6 & union(v6, v8) = v9 & union(v1, v2) = v5 & union(v0, v2) = v7 & % 7.90/1.91 symmetric_difference(v0, v1) = v3 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 7.90/1.91 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 7.90/1.91 % 7.90/1.91 (symmetric_difference_defn) % 7.90/1.92 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 7.90/1.92 (difference(v1, v0) = v3) | ~ (difference(v0, v1) = v2) | ~ (union(v2, v3) % 7.90/1.92 = v4) | ~ $i(v1) | ~ $i(v0) | (symmetric_difference(v0, v1) = v4 & % 7.90/1.92 $i(v4))) % 7.90/1.92 % 7.90/1.92 (function-axioms) % 7.90/1.92 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 7.90/1.92 [v3: $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & % 7.90/1.92 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 7.90/1.92 $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! % 7.90/1.92 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 7.90/1.92 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : ! % 7.90/1.92 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ % 7.90/1.92 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 7.90/1.92 $i] : (v1 = v0 | ~ (symmetric_difference(v3, v2) = v1) | ~ % 7.90/1.92 (symmetric_difference(v3, v2) = v0)) % 7.90/1.92 % 7.90/1.92 Further assumptions not needed in the proof: % 7.90/1.92 -------------------------------------------- % 7.90/1.92 commutativity_of_symmetric_difference, difference_defn, equal_defn, % 7.90/1.92 equal_member_defn, reflexivity_of_subset, subset_defn, union_defn % 7.90/1.92 % 7.90/1.92 Those formulas are unsatisfiable: % 7.90/1.92 --------------------------------- % 7.90/1.92 % 7.90/1.92 Begin of proof % 7.90/1.92 | % 7.90/1.92 | ALPHA: (function-axioms) implies: % 7.90/1.93 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 7.90/1.93 | (symmetric_difference(v3, v2) = v1) | ~ (symmetric_difference(v3, % 7.90/1.93 | v2) = v0)) % 7.90/1.93 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 7.90/1.93 | (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) % 7.90/1.93 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 7.90/1.93 | (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) % 7.90/1.93 | % 7.90/1.93 | DELTA: instantiating (prove_th97) with fresh symbols all_14_0, all_14_1, % 7.90/1.93 | all_14_2, all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, % 7.90/1.93 | all_14_9 gives: % 8.21/1.93 | (4) ~ (all_14_0 = all_14_5) & difference(all_14_6, all_14_7) = all_14_5 & % 8.21/1.93 | difference(all_14_8, all_14_2) = all_14_1 & difference(all_14_9, % 8.21/1.93 | all_14_4) = all_14_3 & union(all_14_3, all_14_1) = all_14_0 & % 8.21/1.93 | union(all_14_8, all_14_7) = all_14_4 & union(all_14_9, all_14_7) = % 8.21/1.93 | all_14_2 & symmetric_difference(all_14_9, all_14_8) = all_14_6 & % 8.21/1.93 | $i(all_14_0) & $i(all_14_1) & $i(all_14_2) & $i(all_14_3) & % 8.21/1.93 | $i(all_14_4) & $i(all_14_5) & $i(all_14_6) & $i(all_14_7) & % 8.21/1.93 | $i(all_14_8) & $i(all_14_9) % 8.21/1.93 | % 8.21/1.93 | ALPHA: (4) implies: % 8.21/1.94 | (5) ~ (all_14_0 = all_14_5) % 8.21/1.94 | (6) $i(all_14_9) % 8.21/1.94 | (7) $i(all_14_8) % 8.21/1.94 | (8) $i(all_14_7) % 8.21/1.94 | (9) $i(all_14_3) % 8.21/1.94 | (10) $i(all_14_1) % 8.21/1.94 | (11) symmetric_difference(all_14_9, all_14_8) = all_14_6 % 8.21/1.94 | (12) union(all_14_9, all_14_7) = all_14_2 % 8.21/1.94 | (13) union(all_14_8, all_14_7) = all_14_4 % 8.21/1.94 | (14) union(all_14_3, all_14_1) = all_14_0 % 8.21/1.94 | (15) difference(all_14_9, all_14_4) = all_14_3 % 8.21/1.94 | (16) difference(all_14_8, all_14_2) = all_14_1 % 8.21/1.94 | (17) difference(all_14_6, all_14_7) = all_14_5 % 8.21/1.94 | % 8.21/1.94 | GROUND_INST: instantiating (commutativity_of_union) with all_14_3, all_14_1, % 8.21/1.94 | all_14_0, simplifying with (9), (10), (14) gives: % 8.21/1.94 | (18) union(all_14_1, all_14_3) = all_14_0 & $i(all_14_0) % 8.21/1.94 | % 8.21/1.94 | ALPHA: (18) implies: % 8.21/1.94 | (19) union(all_14_1, all_14_3) = all_14_0 % 8.21/1.94 | % 8.21/1.94 | GROUND_INST: instantiating (difference_difference_union) with all_14_9, % 8.21/1.94 | all_14_8, all_14_7, all_14_4, all_14_3, simplifying with (6), % 8.21/1.94 | (7), (8), (13), (15) gives: % 8.21/1.94 | (20) ? [v0: $i] : (difference(v0, all_14_7) = all_14_3 & % 8.21/1.94 | difference(all_14_9, all_14_8) = v0 & $i(v0) & $i(all_14_3)) % 8.21/1.94 | % 8.21/1.94 | GROUND_INST: instantiating (difference_difference_union) with all_14_8, % 8.21/1.94 | all_14_9, all_14_7, all_14_2, all_14_1, simplifying with (6), % 8.21/1.94 | (7), (8), (12), (16) gives: % 8.21/1.94 | (21) ? [v0: $i] : (difference(v0, all_14_7) = all_14_1 & % 8.21/1.94 | difference(all_14_8, all_14_9) = v0 & $i(v0) & $i(all_14_1)) % 8.21/1.94 | % 8.21/1.94 | DELTA: instantiating (20) with fresh symbol all_22_0 gives: % 8.21/1.94 | (22) difference(all_22_0, all_14_7) = all_14_3 & difference(all_14_9, % 8.21/1.94 | all_14_8) = all_22_0 & $i(all_22_0) & $i(all_14_3) % 8.21/1.94 | % 8.21/1.94 | ALPHA: (22) implies: % 8.21/1.95 | (23) $i(all_22_0) % 8.21/1.95 | (24) difference(all_14_9, all_14_8) = all_22_0 % 8.21/1.95 | (25) difference(all_22_0, all_14_7) = all_14_3 % 8.21/1.95 | % 8.21/1.95 | DELTA: instantiating (21) with fresh symbol all_24_0 gives: % 8.21/1.95 | (26) difference(all_24_0, all_14_7) = all_14_1 & difference(all_14_8, % 8.21/1.95 | all_14_9) = all_24_0 & $i(all_24_0) & $i(all_14_1) % 8.21/1.95 | % 8.21/1.95 | ALPHA: (26) implies: % 8.21/1.95 | (27) $i(all_24_0) % 8.21/1.95 | (28) difference(all_14_8, all_14_9) = all_24_0 % 8.21/1.95 | (29) difference(all_24_0, all_14_7) = all_14_1 % 8.21/1.95 | % 8.21/1.95 | GROUND_INST: instantiating (difference_distributes_over_union) with all_22_0, % 8.21/1.95 | all_24_0, all_14_7, all_14_3, all_14_1, all_14_0, simplifying % 8.21/1.95 | with (8), (14), (23), (25), (27), (29) gives: % 8.21/1.95 | (30) ? [v0: $i] : (difference(v0, all_14_7) = all_14_0 & union(all_22_0, % 8.21/1.95 | all_24_0) = v0 & $i(v0) & $i(all_14_0)) % 8.21/1.95 | % 8.21/1.95 | GROUND_INST: instantiating (difference_distributes_over_union) with all_24_0, % 8.21/1.95 | all_22_0, all_14_7, all_14_1, all_14_3, all_14_0, simplifying % 8.21/1.95 | with (8), (19), (23), (25), (27), (29) gives: % 8.21/1.95 | (31) ? [v0: $i] : (difference(v0, all_14_7) = all_14_0 & union(all_24_0, % 8.21/1.95 | all_22_0) = v0 & $i(v0) & $i(all_14_0)) % 8.21/1.95 | % 8.21/1.95 | DELTA: instantiating (31) with fresh symbol all_31_0 gives: % 8.21/1.95 | (32) difference(all_31_0, all_14_7) = all_14_0 & union(all_24_0, all_22_0) % 8.21/1.95 | = all_31_0 & $i(all_31_0) & $i(all_14_0) % 8.21/1.95 | % 8.21/1.95 | ALPHA: (32) implies: % 8.21/1.95 | (33) union(all_24_0, all_22_0) = all_31_0 % 8.21/1.95 | (34) difference(all_31_0, all_14_7) = all_14_0 % 8.21/1.95 | % 8.21/1.95 | DELTA: instantiating (30) with fresh symbol all_33_0 gives: % 8.21/1.95 | (35) difference(all_33_0, all_14_7) = all_14_0 & union(all_22_0, all_24_0) % 8.21/1.95 | = all_33_0 & $i(all_33_0) & $i(all_14_0) % 8.21/1.95 | % 8.21/1.95 | ALPHA: (35) implies: % 8.21/1.95 | (36) union(all_22_0, all_24_0) = all_33_0 % 8.21/1.95 | % 8.21/1.95 | GROUND_INST: instantiating (symmetric_difference_defn) with all_14_9, % 8.21/1.95 | all_14_8, all_22_0, all_24_0, all_33_0, simplifying with (6), % 8.21/1.95 | (7), (24), (28), (36) gives: % 8.21/1.95 | (37) symmetric_difference(all_14_9, all_14_8) = all_33_0 & $i(all_33_0) % 8.21/1.95 | % 8.21/1.95 | ALPHA: (37) implies: % 8.21/1.95 | (38) symmetric_difference(all_14_9, all_14_8) = all_33_0 % 8.21/1.95 | % 8.21/1.95 | GROUND_INST: instantiating (commutativity_of_union) with all_22_0, all_24_0, % 8.21/1.95 | all_33_0, simplifying with (23), (27), (36) gives: % 8.21/1.95 | (39) union(all_24_0, all_22_0) = all_33_0 & $i(all_33_0) % 8.21/1.95 | % 8.21/1.95 | ALPHA: (39) implies: % 8.21/1.95 | (40) union(all_24_0, all_22_0) = all_33_0 % 8.21/1.95 | % 8.21/1.96 | GROUND_INST: instantiating (1) with all_14_6, all_33_0, all_14_8, all_14_9, % 8.21/1.96 | simplifying with (11), (38) gives: % 8.21/1.96 | (41) all_33_0 = all_14_6 % 8.21/1.96 | % 8.21/1.96 | GROUND_INST: instantiating (2) with all_31_0, all_33_0, all_22_0, all_24_0, % 8.21/1.96 | simplifying with (33), (40) gives: % 8.21/1.96 | (42) all_33_0 = all_31_0 % 8.21/1.96 | % 8.21/1.96 | COMBINE_EQS: (41), (42) imply: % 8.21/1.96 | (43) all_31_0 = all_14_6 % 8.21/1.96 | % 8.21/1.96 | REDUCE: (34), (43) imply: % 8.21/1.96 | (44) difference(all_14_6, all_14_7) = all_14_0 % 8.21/1.96 | % 8.21/1.96 | GROUND_INST: instantiating (3) with all_14_5, all_14_0, all_14_7, all_14_6, % 8.21/1.96 | simplifying with (17), (44) gives: % 8.21/1.96 | (45) all_14_0 = all_14_5 % 8.21/1.96 | % 8.21/1.96 | REDUCE: (5), (45) imply: % 8.21/1.96 | (46) $false % 8.33/1.96 | % 8.33/1.96 | CLOSE: (46) is inconsistent. % 8.33/1.96 | % 8.33/1.96 End of proof % 8.33/1.96 % SZS output end Proof for theBenchmark % 8.33/1.96 % 8.33/1.96 1338ms %------------------------------------------------------------------------------