%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU124+1 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n017.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 17:42:37 EDT 2023 % Result : Theorem 6.00s 1.58s % Output : Proof 7.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU124+1 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n017.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Wed Aug 23 13:55:39 EDT 2023 % 0.14/0.35 % CPUTime : % 0.21/0.61 ________ _____ % 0.21/0.61 ___ __ \_________(_)________________________________ % 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.61 % 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.61 (2023-06-19) % 0.21/0.61 % 0.21/0.61 (c) Philipp Rümmer, 2009-2023 % 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.61 Amanda Stjerna. % 0.21/0.61 Free software under BSD-3-Clause. % 0.21/0.61 % 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.61 % 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.10/1.02 Prover 1: Preprocessing ... % 2.10/1.02 Prover 4: Preprocessing ... % 2.62/1.06 Prover 0: Preprocessing ... % 2.62/1.06 Prover 6: Preprocessing ... % 2.62/1.07 Prover 3: Preprocessing ... % 2.62/1.07 Prover 2: Preprocessing ... % 2.62/1.07 Prover 5: Preprocessing ... % 4.09/1.37 Prover 1: Warning: ignoring some quantifiers % 4.09/1.38 Prover 4: Warning: ignoring some quantifiers % 4.09/1.39 Prover 5: Proving ... % 4.09/1.39 Prover 1: Constructing countermodel ... % 4.09/1.39 Prover 3: Warning: ignoring some quantifiers % 4.09/1.39 Prover 2: Proving ... % 4.09/1.39 Prover 6: Proving ... % 4.09/1.40 Prover 4: Constructing countermodel ... % 4.09/1.40 Prover 3: Constructing countermodel ... % 4.09/1.41 Prover 0: Proving ... % 6.00/1.58 Prover 3: proved (947ms) % 6.00/1.58 % 6.00/1.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.00/1.58 % 6.00/1.59 Prover 5: stopped % 6.00/1.59 Prover 2: stopped % 6.00/1.59 Prover 6: stopped % 6.00/1.59 Prover 0: stopped % 6.00/1.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.00/1.60 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.00/1.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.00/1.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.00/1.60 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.00/1.61 Prover 8: Preprocessing ... % 6.00/1.62 Prover 10: Preprocessing ... % 6.00/1.62 Prover 11: Preprocessing ... % 6.00/1.63 Prover 13: Preprocessing ... % 6.00/1.63 Prover 7: Preprocessing ... % 6.50/1.67 Prover 10: Warning: ignoring some quantifiers % 6.75/1.67 Prover 10: Constructing countermodel ... % 6.75/1.69 Prover 13: Warning: ignoring some quantifiers % 6.75/1.70 Prover 13: Constructing countermodel ... % 6.75/1.71 Prover 8: Warning: ignoring some quantifiers % 6.75/1.72 Prover 7: Warning: ignoring some quantifiers % 6.75/1.72 Prover 8: Constructing countermodel ... % 6.75/1.72 Prover 7: Constructing countermodel ... % 6.75/1.73 Prover 4: Found proof (size 21) % 6.75/1.73 Prover 4: proved (1093ms) % 6.75/1.73 Prover 8: stopped % 6.75/1.73 Prover 10: stopped % 7.23/1.73 Prover 13: stopped % 7.23/1.73 Prover 1: stopped % 7.23/1.73 Prover 7: stopped % 7.23/1.75 Prover 11: Warning: ignoring some quantifiers % 7.23/1.75 Prover 11: Constructing countermodel ... % 7.23/1.76 Prover 11: stopped % 7.23/1.76 % 7.23/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.23/1.76 % 7.38/1.76 % SZS output start Proof for theBenchmark % 7.38/1.76 Assumptions after simplification: % 7.38/1.76 --------------------------------- % 7.38/1.77 % 7.38/1.77 (commutativity_k2_xboole_0) % 7.38/1.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_union2(v1, v0) = v2) | ~ % 7.38/1.79 $i(v1) | ~ $i(v0) | (set_union2(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : ! % 7.38/1.79 [v1: $i] : ! [v2: $i] : ( ~ (set_union2(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) % 7.38/1.79 | (set_union2(v1, v0) = v2 & $i(v2))) % 7.38/1.79 % 7.38/1.79 (d2_xboole_0) % 7.38/1.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 % 7.38/1.80 | ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v2) = v4) | ~ $i(v3) | ~ % 7.38/1.80 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: int] : ( ~ (v6 = 0) % 7.38/1.80 & ~ (v5 = 0) & in(v3, v1) = v6 & in(v3, v0) = v5)) & ! [v0: $i] : ! % 7.38/1.80 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ % 7.38/1.80 (set_union2(v0, v1) = v2) | ~ (in(v3, v1) = v4) | ~ $i(v3) | ~ $i(v2) | % 7.38/1.80 ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : (in(v3, v2) = v5 & % 7.38/1.80 in(v3, v0) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : % 7.38/1.80 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (set_union2(v0, v1) = % 7.38/1.80 v2) | ~ (in(v3, v0) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 7.38/1.80 | ? [v5: any] : ? [v6: any] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 % 7.38/1.80 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 7.38/1.80 $i] : ! [v4: any] : ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v1) = v4) | % 7.38/1.80 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : % 7.38/1.80 (in(v3, v2) = v6 & in(v3, v0) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4 = % 7.38/1.80 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 7.38/1.80 [v4: any] : ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ~ $i(v3) | % 7.38/1.80 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : (in(v3, % 7.38/1.80 v2) = v6 & in(v3, v1) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4 = 0))))) & % 7.38/1.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (set_union2(v0, v1) % 7.38/1.80 = v2) | ~ (in(v3, v2) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 7.38/1.80 $i(v0) | ? [v4: any] : ? [v5: any] : (in(v3, v1) = v5 & in(v3, v0) = v4 & % 7.38/1.80 (v5 = 0 | v4 = 0))) & ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 7.38/1.80 $i] : (v3 = v0 | ~ (set_union2(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 7.38/1.80 $i(v0) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : (in(v4, % 7.38/1.80 v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & $i(v4) & ( ~ (v5 = 0) | ( % 7.38/1.80 ~ (v7 = 0) & ~ (v6 = 0))) & (v7 = 0 | v6 = 0 | v5 = 0))) % 7.38/1.80 % 7.38/1.80 (d3_tarski) % 7.38/1.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 7.38/1.81 (subset(v0, v1) = 0) | ~ (in(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 7.38/1.81 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & in(v2, v0) = v4)) & ! [v0: $i] : ! % 7.38/1.81 [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ~ $i(v1) | ~ % 7.38/1.81 $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & in(v3, v1) = v4 & % 7.38/1.81 in(v3, v0) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 7.38/1.81 (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 7.38/1.81 $i(v0) | in(v2, v1) = 0) % 7.38/1.81 % 7.38/1.81 (t7_xboole_1) % 7.38/1.81 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 7.38/1.81 subset(v0, v2) = v3 & set_union2(v0, v1) = v2 & $i(v2) & $i(v1) & $i(v0)) % 7.38/1.81 % 7.38/1.81 (function-axioms) % 7.38/1.81 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 7.38/1.81 [v3: $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & % 7.38/1.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 7.38/1.81 (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0)) & ! [v0: % 7.38/1.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 7.38/1.81 : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0: % 7.38/1.81 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 7.38/1.81 ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) % 7.38/1.81 % 7.38/1.81 Further assumptions not needed in the proof: % 7.38/1.81 -------------------------------------------- % 7.38/1.81 antisymmetry_r2_hidden, dt_k1_xboole_0, dt_k2_xboole_0, fc1_xboole_0, % 7.38/1.81 fc2_xboole_0, fc3_xboole_0, idempotence_k2_xboole_0, rc1_xboole_0, rc2_xboole_0, % 7.38/1.81 reflexivity_r1_tarski, t1_boole, t6_boole, t7_boole, t8_boole % 7.38/1.81 % 7.38/1.81 Those formulas are unsatisfiable: % 7.38/1.81 --------------------------------- % 7.38/1.81 % 7.38/1.81 Begin of proof % 7.38/1.81 | % 7.38/1.81 | ALPHA: (commutativity_k2_xboole_0) implies: % 7.38/1.81 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_union2(v1, v0) = v2) % 7.38/1.81 | | ~ $i(v1) | ~ $i(v0) | (set_union2(v0, v1) = v2 & $i(v2))) % 7.38/1.81 | % 7.38/1.81 | ALPHA: (d2_xboole_0) implies: % 7.38/1.81 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: any] : % 7.38/1.81 | ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v1) = v4) | ~ $i(v3) | ~ % 7.38/1.81 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : % 7.38/1.81 | (in(v3, v2) = v6 & in(v3, v0) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4 % 7.38/1.81 | = 0))))) % 7.38/1.81 | % 7.38/1.81 | ALPHA: (d3_tarski) implies: % 7.38/1.82 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) % 7.38/1.82 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ % 7.38/1.82 | (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0 & $i(v3))) % 7.38/1.82 | % 7.38/1.82 | ALPHA: (function-axioms) implies: % 7.38/1.82 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 7.38/1.82 | ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) % 7.38/1.82 | % 7.38/1.82 | DELTA: instantiating (t7_xboole_1) with fresh symbols all_20_0, all_20_1, % 7.38/1.82 | all_20_2, all_20_3 gives: % 7.38/1.82 | (5) ~ (all_20_0 = 0) & subset(all_20_3, all_20_1) = all_20_0 & % 7.38/1.82 | set_union2(all_20_3, all_20_2) = all_20_1 & $i(all_20_1) & $i(all_20_2) % 7.38/1.82 | & $i(all_20_3) % 7.38/1.82 | % 7.38/1.82 | ALPHA: (5) implies: % 7.38/1.82 | (6) ~ (all_20_0 = 0) % 7.38/1.82 | (7) $i(all_20_3) % 7.38/1.82 | (8) $i(all_20_2) % 7.38/1.82 | (9) set_union2(all_20_3, all_20_2) = all_20_1 % 7.38/1.82 | (10) subset(all_20_3, all_20_1) = all_20_0 % 7.38/1.82 | % 7.38/1.82 | GROUND_INST: instantiating (1) with all_20_2, all_20_3, all_20_1, simplifying % 7.38/1.82 | with (7), (8), (9) gives: % 7.38/1.82 | (11) set_union2(all_20_2, all_20_3) = all_20_1 & $i(all_20_1) % 7.38/1.82 | % 7.38/1.82 | ALPHA: (11) implies: % 7.38/1.82 | (12) $i(all_20_1) % 7.38/1.82 | (13) set_union2(all_20_2, all_20_3) = all_20_1 % 7.38/1.82 | % 7.38/1.82 | GROUND_INST: instantiating (3) with all_20_3, all_20_1, all_20_0, simplifying % 7.38/1.82 | with (7), (10), (12) gives: % 7.38/1.82 | (14) all_20_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0, % 7.38/1.82 | all_20_1) = v1 & in(v0, all_20_3) = 0 & $i(v0)) % 7.38/1.82 | % 7.38/1.82 | BETA: splitting (14) gives: % 7.38/1.82 | % 7.38/1.82 | Case 1: % 7.38/1.82 | | % 7.38/1.82 | | (15) all_20_0 = 0 % 7.38/1.82 | | % 7.38/1.82 | | REDUCE: (6), (15) imply: % 7.38/1.82 | | (16) $false % 7.38/1.82 | | % 7.38/1.82 | | CLOSE: (16) is inconsistent. % 7.38/1.82 | | % 7.38/1.82 | Case 2: % 7.38/1.82 | | % 7.38/1.82 | | (17) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0, all_20_1) = v1 & % 7.38/1.82 | | in(v0, all_20_3) = 0 & $i(v0)) % 7.38/1.82 | | % 7.38/1.82 | | DELTA: instantiating (17) with fresh symbols all_38_0, all_38_1 gives: % 7.38/1.82 | | (18) ~ (all_38_0 = 0) & in(all_38_1, all_20_1) = all_38_0 & in(all_38_1, % 7.38/1.82 | | all_20_3) = 0 & $i(all_38_1) % 7.38/1.82 | | % 7.38/1.82 | | ALPHA: (18) implies: % 7.38/1.83 | | (19) ~ (all_38_0 = 0) % 7.38/1.83 | | (20) $i(all_38_1) % 7.38/1.83 | | (21) in(all_38_1, all_20_3) = 0 % 7.38/1.83 | | (22) in(all_38_1, all_20_1) = all_38_0 % 7.38/1.83 | | % 7.70/1.83 | | GROUND_INST: instantiating (2) with all_20_2, all_20_3, all_20_1, all_38_1, % 7.70/1.83 | | 0, simplifying with (7), (8), (12), (13), (20), (21) gives: % 7.70/1.83 | | (23) ? [v0: MultipleValueBool] : (in(all_38_1, all_20_1) = 0 & % 7.70/1.83 | | in(all_38_1, all_20_2) = v0) % 7.70/1.83 | | % 7.70/1.83 | | DELTA: instantiating (23) with fresh symbol all_53_0 gives: % 7.70/1.83 | | (24) in(all_38_1, all_20_1) = 0 & in(all_38_1, all_20_2) = all_53_0 % 7.70/1.83 | | % 7.70/1.83 | | ALPHA: (24) implies: % 7.70/1.83 | | (25) in(all_38_1, all_20_1) = 0 % 7.70/1.83 | | % 7.70/1.83 | | GROUND_INST: instantiating (4) with all_38_0, 0, all_20_1, all_38_1, % 7.70/1.83 | | simplifying with (22), (25) gives: % 7.70/1.83 | | (26) all_38_0 = 0 % 7.70/1.83 | | % 7.70/1.83 | | REDUCE: (19), (26) imply: % 7.70/1.83 | | (27) $false % 7.70/1.83 | | % 7.70/1.83 | | CLOSE: (27) is inconsistent. % 7.70/1.83 | | % 7.70/1.83 | End of split % 7.70/1.83 | % 7.70/1.83 End of proof % 7.70/1.83 % SZS output end Proof for theBenchmark % 7.70/1.83 % 7.70/1.83 1214ms %------------------------------------------------------------------------------