%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU198+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 : n014.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 17:43:12 EDT 2023 % Result : Theorem 6.68s 1.68s % Output : Proof 8.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU198+1 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n014.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 : Wed Aug 23 18:42:19 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 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 % 2.55/1.08 Prover 4: Preprocessing ... % 2.55/1.08 Prover 1: Preprocessing ... % 2.70/1.12 Prover 2: Preprocessing ... % 2.70/1.12 Prover 6: Preprocessing ... % 2.70/1.12 Prover 3: Preprocessing ... % 2.70/1.12 Prover 5: Preprocessing ... % 2.88/1.12 Prover 0: Preprocessing ... % 4.72/1.44 Prover 1: Warning: ignoring some quantifiers % 4.72/1.48 Prover 3: Warning: ignoring some quantifiers % 4.72/1.48 Prover 4: Warning: ignoring some quantifiers % 4.72/1.49 Prover 5: Proving ... % 4.72/1.49 Prover 2: Proving ... % 4.72/1.49 Prover 1: Constructing countermodel ... % 4.72/1.49 Prover 3: Constructing countermodel ... % 4.72/1.50 Prover 6: Proving ... % 4.72/1.50 Prover 4: Constructing countermodel ... % 5.81/1.58 Prover 0: Proving ... % 6.68/1.68 Prover 3: proved (1036ms) % 6.68/1.68 % 6.68/1.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.68/1.68 % 6.68/1.68 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.68/1.69 Prover 0: stopped % 6.68/1.69 Prover 5: stopped % 6.68/1.69 Prover 2: stopped % 6.68/1.70 Prover 6: stopped % 6.68/1.70 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.68/1.70 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.68/1.70 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.68/1.70 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.68/1.74 Prover 7: Preprocessing ... % 6.68/1.74 Prover 13: Preprocessing ... % 6.68/1.74 Prover 8: Preprocessing ... % 6.68/1.75 Prover 11: Preprocessing ... % 6.68/1.75 Prover 10: Preprocessing ... % 7.63/1.81 Prover 7: Warning: ignoring some quantifiers % 7.63/1.82 Prover 7: Constructing countermodel ... % 7.63/1.83 Prover 10: Warning: ignoring some quantifiers % 7.96/1.83 Prover 8: Warning: ignoring some quantifiers % 7.99/1.84 Prover 13: Warning: ignoring some quantifiers % 7.99/1.85 Prover 10: Constructing countermodel ... % 7.99/1.86 Prover 8: Constructing countermodel ... % 7.99/1.86 Prover 13: Constructing countermodel ... % 7.99/1.90 Prover 1: Found proof (size 28) % 7.99/1.90 Prover 1: proved (1268ms) % 8.46/1.90 Prover 13: stopped % 8.46/1.90 Prover 8: stopped % 8.46/1.90 Prover 7: stopped % 8.46/1.91 Prover 10: stopped % 8.46/1.91 Prover 4: stopped % 8.46/1.92 Prover 11: Warning: ignoring some quantifiers % 8.46/1.93 Prover 11: Constructing countermodel ... % 8.46/1.94 Prover 11: stopped % 8.46/1.94 % 8.46/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.46/1.94 % 8.46/1.95 % SZS output start Proof for theBenchmark % 8.46/1.96 Assumptions after simplification: % 8.46/1.96 --------------------------------- % 8.46/1.96 % 8.46/1.96 (d3_tarski) % 8.75/1.99 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) = v2) % 8.75/1.99 | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & in(v3, % 8.75/1.99 v1) = v4 & in(v3, v0) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 8.75/1.99 (subset(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ! [v2: $i] : ( ~ (in(v2, v0) % 8.75/1.99 = 0) | ~ $i(v2) | in(v2, v1) = 0)) % 8.75/1.99 % 8.75/1.99 (dt_k8_relat_1) % 8.75/1.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_rng_restriction(v0, % 8.75/1.99 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 8.75/1.99 (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 8.75/1.99 % 8.75/1.99 (t115_relat_1) % 8.75/2.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 8.75/2.00 any] : ( ~ (relation_rng(v3) = v4) | ~ (relation_rng_restriction(v1, v2) = % 8.75/2.00 v3) | ~ (in(v0, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: % 8.75/2.00 any] : ? [v7: any] : ? [v8: $i] : ? [v9: any] : (relation_rng(v2) = v8 % 8.75/2.00 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & $i(v8) & ( ~ (v6 % 8.75/2.00 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 % 8.75/2.00 & v7 = 0)))))) % 8.75/2.00 % 8.75/2.00 (t116_relat_1) % 8.75/2.00 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ( ~ (v4 % 8.75/2.00 = 0) & relation_rng(v2) = v3 & relation_rng_restriction(v0, v1) = v2 & % 8.75/2.00 subset(v3, v0) = v4 & relation(v1) = 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 8.75/2.00 % 8.75/2.00 (function-axioms) % 8.75/2.01 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 8.75/2.01 [v3: $i] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & % 8.75/2.01 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 8.75/2.01 (relation_rng_restriction(v3, v2) = v1) | ~ (relation_rng_restriction(v3, % 8.75/2.01 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 8.75/2.01 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ % 8.75/2.01 (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 8.75/2.01 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = % 8.75/2.01 v1) | ~ (in(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 8.75/2.01 (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) & ! [v0: % 8.75/2.01 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ % 8.75/2.01 (powerset(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 8.75/2.01 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (relation(v2) = v1) | ~ % 8.75/2.01 (relation(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 8.75/2.01 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty(v2) = v1) | ~ % 8.75/2.01 (empty(v2) = v0)) % 8.75/2.01 % 8.75/2.01 Further assumptions not needed in the proof: % 8.75/2.01 -------------------------------------------- % 8.75/2.01 antisymmetry_r2_hidden, cc1_relat_1, dt_k1_xboole_0, dt_k1_zfmisc_1, % 8.75/2.01 dt_k2_relat_1, dt_m1_subset_1, existence_m1_subset_1, fc1_subset_1, % 8.75/2.01 fc1_xboole_0, fc4_relat_1, fc6_relat_1, fc8_relat_1, rc1_relat_1, rc1_subset_1, % 8.75/2.01 rc1_xboole_0, rc2_relat_1, rc2_subset_1, rc2_xboole_0, reflexivity_r1_tarski, % 8.75/2.01 t1_subset, t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, % 8.75/2.01 t8_boole % 8.75/2.01 % 8.75/2.01 Those formulas are unsatisfiable: % 8.75/2.01 --------------------------------- % 8.75/2.01 % 8.75/2.01 Begin of proof % 8.75/2.01 | % 8.75/2.01 | ALPHA: (d3_tarski) implies: % 8.75/2.01 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) % 8.75/2.01 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ % 8.75/2.01 | (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0 & $i(v3))) % 8.75/2.01 | % 8.75/2.01 | ALPHA: (function-axioms) implies: % 8.75/2.02 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 8.75/2.02 | (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) % 8.75/2.02 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 8.75/2.02 | ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) % 8.75/2.02 | % 8.75/2.02 | DELTA: instantiating (t116_relat_1) with fresh symbols all_33_0, all_33_1, % 8.75/2.02 | all_33_2, all_33_3, all_33_4 gives: % 8.75/2.02 | (4) ~ (all_33_0 = 0) & relation_rng(all_33_2) = all_33_1 & % 8.75/2.02 | relation_rng_restriction(all_33_4, all_33_3) = all_33_2 & % 8.75/2.02 | subset(all_33_1, all_33_4) = all_33_0 & relation(all_33_3) = 0 & % 8.75/2.02 | $i(all_33_1) & $i(all_33_2) & $i(all_33_3) & $i(all_33_4) % 8.75/2.02 | % 8.75/2.02 | ALPHA: (4) implies: % 8.75/2.02 | (5) ~ (all_33_0 = 0) % 8.75/2.02 | (6) $i(all_33_4) % 8.75/2.02 | (7) $i(all_33_3) % 8.75/2.02 | (8) $i(all_33_1) % 8.75/2.02 | (9) relation(all_33_3) = 0 % 8.75/2.02 | (10) subset(all_33_1, all_33_4) = all_33_0 % 8.75/2.02 | (11) relation_rng_restriction(all_33_4, all_33_3) = all_33_2 % 8.75/2.02 | (12) relation_rng(all_33_2) = all_33_1 % 8.75/2.02 | % 8.75/2.02 | GROUND_INST: instantiating (1) with all_33_1, all_33_4, all_33_0, simplifying % 8.75/2.02 | with (6), (8), (10) gives: % 8.75/2.02 | (13) all_33_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0, % 8.75/2.02 | all_33_1) = 0 & in(v0, all_33_4) = v1 & $i(v0)) % 8.75/2.02 | % 8.75/2.02 | GROUND_INST: instantiating (dt_k8_relat_1) with all_33_4, all_33_3, all_33_2, % 8.75/2.02 | simplifying with (6), (7), (11) gives: % 8.75/2.02 | (14) ? [v0: any] : ? [v1: any] : (relation(all_33_2) = v1 & % 8.75/2.02 | relation(all_33_3) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 8.75/2.02 | % 8.75/2.03 | DELTA: instantiating (14) with fresh symbols all_41_0, all_41_1 gives: % 8.75/2.03 | (15) relation(all_33_2) = all_41_0 & relation(all_33_3) = all_41_1 & ( ~ % 8.75/2.03 | (all_41_1 = 0) | all_41_0 = 0) % 8.75/2.03 | % 8.75/2.03 | ALPHA: (15) implies: % 8.75/2.03 | (16) relation(all_33_3) = all_41_1 % 8.75/2.03 | % 8.75/2.03 | BETA: splitting (13) gives: % 8.75/2.03 | % 8.75/2.03 | Case 1: % 8.75/2.03 | | % 8.75/2.03 | | (17) all_33_0 = 0 % 8.75/2.03 | | % 8.75/2.03 | | REDUCE: (5), (17) imply: % 8.75/2.03 | | (18) $false % 8.75/2.03 | | % 8.75/2.03 | | CLOSE: (18) is inconsistent. % 8.75/2.03 | | % 8.75/2.03 | Case 2: % 8.75/2.03 | | % 8.75/2.03 | | (19) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0, all_33_1) = 0 & % 8.75/2.03 | | in(v0, all_33_4) = v1 & $i(v0)) % 8.75/2.03 | | % 8.75/2.03 | | DELTA: instantiating (19) with fresh symbols all_51_0, all_51_1 gives: % 8.75/2.03 | | (20) ~ (all_51_0 = 0) & in(all_51_1, all_33_1) = 0 & in(all_51_1, % 8.75/2.03 | | all_33_4) = all_51_0 & $i(all_51_1) % 8.75/2.03 | | % 8.75/2.03 | | ALPHA: (20) implies: % 8.75/2.03 | | (21) ~ (all_51_0 = 0) % 8.75/2.03 | | (22) $i(all_51_1) % 8.75/2.03 | | (23) in(all_51_1, all_33_4) = all_51_0 % 8.75/2.03 | | (24) in(all_51_1, all_33_1) = 0 % 8.75/2.03 | | % 8.75/2.03 | | GROUND_INST: instantiating (2) with 0, all_41_1, all_33_3, simplifying with % 8.75/2.03 | | (9), (16) gives: % 8.75/2.03 | | (25) all_41_1 = 0 % 8.75/2.03 | | % 8.75/2.03 | | GROUND_INST: instantiating (t115_relat_1) with all_51_1, all_33_4, all_33_3, % 8.75/2.03 | | all_33_2, all_33_1, 0, simplifying with (6), (7), (11), (12), % 8.75/2.03 | | (22), (24) gives: % 8.75/2.03 | | (26) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 8.75/2.03 | | (relation_rng(all_33_3) = v2 & relation(all_33_3) = v0 & % 8.75/2.03 | | in(all_51_1, v2) = v3 & in(all_51_1, all_33_4) = v1 & $i(v2) & ( ~ % 8.75/2.03 | | (v0 = 0) | (v3 = 0 & v1 = 0))) % 8.75/2.03 | | % 8.75/2.03 | | DELTA: instantiating (26) with fresh symbols all_70_0, all_70_1, all_70_2, % 8.75/2.03 | | all_70_3 gives: % 8.75/2.04 | | (27) relation_rng(all_33_3) = all_70_1 & relation(all_33_3) = all_70_3 & % 8.75/2.04 | | in(all_51_1, all_70_1) = all_70_0 & in(all_51_1, all_33_4) = % 8.75/2.04 | | all_70_2 & $i(all_70_1) & ( ~ (all_70_3 = 0) | (all_70_0 = 0 & % 8.75/2.04 | | all_70_2 = 0)) % 8.75/2.04 | | % 8.75/2.04 | | ALPHA: (27) implies: % 8.75/2.04 | | (28) in(all_51_1, all_33_4) = all_70_2 % 8.75/2.04 | | (29) relation(all_33_3) = all_70_3 % 8.75/2.04 | | (30) ~ (all_70_3 = 0) | (all_70_0 = 0 & all_70_2 = 0) % 8.75/2.04 | | % 8.75/2.04 | | GROUND_INST: instantiating (3) with all_51_0, all_70_2, all_33_4, all_51_1, % 8.75/2.04 | | simplifying with (23), (28) gives: % 8.75/2.04 | | (31) all_70_2 = all_51_0 % 8.75/2.04 | | % 8.75/2.04 | | GROUND_INST: instantiating (2) with 0, all_70_3, all_33_3, simplifying with % 8.75/2.04 | | (9), (29) gives: % 8.75/2.04 | | (32) all_70_3 = 0 % 8.75/2.04 | | % 8.75/2.04 | | BETA: splitting (30) gives: % 8.75/2.04 | | % 8.75/2.04 | | Case 1: % 8.75/2.04 | | | % 8.75/2.04 | | | (33) ~ (all_70_3 = 0) % 8.75/2.04 | | | % 8.75/2.04 | | | REDUCE: (32), (33) imply: % 8.75/2.04 | | | (34) $false % 8.75/2.04 | | | % 8.75/2.04 | | | CLOSE: (34) is inconsistent. % 8.75/2.04 | | | % 8.75/2.04 | | Case 2: % 8.75/2.04 | | | % 8.75/2.04 | | | (35) all_70_0 = 0 & all_70_2 = 0 % 8.75/2.04 | | | % 8.75/2.04 | | | ALPHA: (35) implies: % 8.75/2.04 | | | (36) all_70_2 = 0 % 8.75/2.04 | | | % 8.75/2.04 | | | COMBINE_EQS: (31), (36) imply: % 8.75/2.04 | | | (37) all_51_0 = 0 % 8.75/2.04 | | | % 8.75/2.04 | | | REDUCE: (21), (37) imply: % 8.75/2.04 | | | (38) $false % 8.75/2.04 | | | % 8.75/2.04 | | | CLOSE: (38) is inconsistent. % 8.75/2.04 | | | % 8.75/2.04 | | End of split % 8.75/2.04 | | % 8.75/2.04 | End of split % 8.75/2.04 | % 8.75/2.04 End of proof % 8.75/2.04 % SZS output end Proof for theBenchmark % 8.75/2.04 % 8.75/2.04 1427ms %------------------------------------------------------------------------------