%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU192+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 : n018.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 17:43:10 EDT 2023 % Result : Theorem 13.07s 2.51s % Output : Proof 15.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU192+1 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.33 % Computer : n018.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Wed Aug 23 19:10:41 EDT 2023 % 0.15/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.64/1.08 Prover 1: Preprocessing ... % 2.64/1.08 Prover 4: Preprocessing ... % 2.87/1.12 Prover 3: Preprocessing ... % 2.87/1.12 Prover 0: Preprocessing ... % 2.87/1.13 Prover 5: Preprocessing ... % 2.87/1.13 Prover 2: Preprocessing ... % 2.87/1.13 Prover 6: Preprocessing ... % 5.47/1.50 Prover 4: Warning: ignoring some quantifiers % 5.47/1.50 Prover 1: Warning: ignoring some quantifiers % 5.79/1.52 Prover 4: Constructing countermodel ... % 5.79/1.53 Prover 2: Proving ... % 5.79/1.54 Prover 5: Proving ... % 6.02/1.54 Prover 1: Constructing countermodel ... % 6.02/1.56 Prover 3: Warning: ignoring some quantifiers % 6.02/1.56 Prover 6: Proving ... % 6.02/1.58 Prover 3: Constructing countermodel ... % 6.02/1.60 Prover 0: Proving ... % 12.09/2.40 Prover 3: gave up % 12.09/2.42 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.09/2.44 Prover 7: Preprocessing ... % 13.07/2.51 Prover 0: proved (1888ms) % 13.07/2.51 % 13.07/2.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 13.07/2.51 % 13.07/2.51 Prover 2: stopped % 13.07/2.52 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 13.07/2.52 Prover 6: stopped % 13.07/2.53 Prover 7: Warning: ignoring some quantifiers % 13.07/2.53 Prover 5: stopped % 13.46/2.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 13.46/2.54 Prover 7: Constructing countermodel ... % 13.46/2.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 13.46/2.54 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.46/2.55 Prover 8: Preprocessing ... % 13.46/2.55 Prover 10: Preprocessing ... % 13.46/2.57 Prover 11: Preprocessing ... % 13.46/2.57 Prover 13: Preprocessing ... % 13.98/2.63 Prover 10: Warning: ignoring some quantifiers % 13.98/2.63 Prover 10: Constructing countermodel ... % 13.98/2.64 Prover 8: Warning: ignoring some quantifiers % 13.98/2.64 Prover 13: Warning: ignoring some quantifiers % 13.98/2.65 Prover 8: Constructing countermodel ... % 13.98/2.66 Prover 11: Warning: ignoring some quantifiers % 13.98/2.67 Prover 13: Constructing countermodel ... % 13.98/2.67 Prover 11: Constructing countermodel ... % 13.98/2.77 Prover 10: Found proof (size 26) % 13.98/2.77 Prover 10: proved (246ms) % 13.98/2.77 Prover 11: stopped % 13.98/2.77 Prover 7: stopped % 13.98/2.77 Prover 4: stopped % 13.98/2.77 Prover 13: stopped % 13.98/2.77 Prover 1: stopped % 13.98/2.77 Prover 8: stopped % 13.98/2.77 % 13.98/2.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 13.98/2.77 % 15.15/2.78 % SZS output start Proof for theBenchmark % 15.15/2.78 Assumptions after simplification: % 15.15/2.78 --------------------------------- % 15.15/2.78 % 15.15/2.78 (d11_relat_1) % 15.15/2.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 15.15/2.82 $i] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) % 15.15/2.82 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 15.15/2.82 relation(v2) | ~ relation(v0) | ~ in(v5, v2) | in(v5, v0)) & ! [v0: $i] : % 15.15/2.82 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 15.15/2.82 (relation_dom_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | % 15.15/2.82 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v2) | % 15.15/2.82 ~ relation(v0) | ~ in(v5, v2) | in(v3, v1)) & ! [v0: $i] : ! [v1: $i] : % 15.15/2.82 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 15.15/2.82 (relation_dom_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | % 15.15/2.82 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v2) | % 15.15/2.82 ~ relation(v0) | ~ in(v5, v0) | ~ in(v3, v1) | in(v5, v2)) & ! [v0: $i] % 15.15/2.82 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ % 15.15/2.82 (relation_dom_restriction(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 15.15/2.82 | ~ relation(v2) | ~ relation(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: % 15.15/2.82 $i] : (ordered_pair(v4, v5) = v6 & $i(v6) & $i(v5) & $i(v4) & ( ~ in(v6, % 15.15/2.82 v2) | ~ in(v6, v0) | ~ in(v4, v1)) & (in(v6, v2) | (in(v6, v0) & % 15.15/2.82 in(v4, v1))))) % 15.15/2.82 % 15.15/2.82 (d4_relat_1) % 15.15/2.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 15.15/2.82 (relation_dom(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ $i(v3) | ~ % 15.15/2.82 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v0) | ~ in(v4, v0) | in(v2, % 15.15/2.82 v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_dom(v0) = % 15.15/2.82 v1) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v0) | ~ in(v2, v1) % 15.15/2.82 | ? [v3: $i] : ? [v4: $i] : (ordered_pair(v2, v3) = v4 & $i(v4) & $i(v3) & % 15.15/2.82 in(v4, v0))) & ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 15.15/2.82 (relation_dom(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v1) | ? [v3: % 15.15/2.82 $i] : ? [v4: $i] : ? [v5: $i] : ($i(v4) & $i(v3) & ( ~ in(v3, v0) | ! % 15.15/2.82 [v6: $i] : ! [v7: $i] : ( ~ (ordered_pair(v3, v6) = v7) | ~ $i(v6) | % 15.15/2.82 ~ in(v7, v1))) & (in(v3, v0) | (ordered_pair(v3, v4) = v5 & $i(v5) & % 15.15/2.82 in(v5, v1))))) % 15.15/2.82 % 15.15/2.82 (dt_k7_relat_1) % 15.15/2.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_dom_restriction(v0, % 15.15/2.82 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v0) | relation(v2)) % 15.15/2.82 % 15.15/2.82 (t86_relat_1) % 15.15/2.82 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 15.15/2.82 $i] : (relation_dom(v3) = v4 & relation_dom_restriction(v2, v1) = v3 & % 15.15/2.83 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & relation(v2) & % 15.15/2.83 ((relation_dom(v2) = v5 & $i(v5) & in(v0, v5) & in(v0, v1) & ~ in(v0, v4)) % 15.15/2.83 | (in(v0, v4) & ( ~ in(v0, v1) | (relation_dom(v2) = v5 & $i(v5) & ~ % 15.15/2.83 in(v0, v5)))))) % 15.15/2.83 % 15.15/2.83 Further assumptions not needed in the proof: % 15.15/2.83 -------------------------------------------- % 15.15/2.83 antisymmetry_r2_hidden, cc1_relat_1, commutativity_k2_tarski, d5_tarski, % 15.15/2.83 dt_k1_relat_1, dt_k1_tarski, dt_k1_xboole_0, dt_k2_tarski, dt_k4_tarski, % 15.15/2.83 dt_m1_subset_1, existence_m1_subset_1, fc1_xboole_0, fc1_zfmisc_1, fc2_subset_1, % 15.15/2.83 fc3_subset_1, fc4_relat_1, fc5_relat_1, fc7_relat_1, rc1_relat_1, rc1_xboole_0, % 15.15/2.83 rc2_relat_1, rc2_xboole_0, t1_subset, t2_subset, t6_boole, t7_boole, t8_boole % 15.15/2.83 % 15.15/2.83 Those formulas are unsatisfiable: % 15.15/2.83 --------------------------------- % 15.15/2.83 % 15.15/2.83 Begin of proof % 15.15/2.83 | % 15.15/2.83 | ALPHA: (d11_relat_1) implies: % 15.15/2.83 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 15.15/2.83 | ! [v5: $i] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ % 15.15/2.83 | (ordered_pair(v3, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 15.15/2.83 | $i(v1) | ~ $i(v0) | ~ relation(v2) | ~ relation(v0) | ~ in(v5, % 15.15/2.83 | v0) | ~ in(v3, v1) | in(v5, v2)) % 15.15/2.83 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 15.15/2.83 | ! [v5: $i] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ % 15.15/2.83 | (ordered_pair(v3, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 15.15/2.83 | $i(v1) | ~ $i(v0) | ~ relation(v2) | ~ relation(v0) | ~ in(v5, % 15.15/2.83 | v2) | in(v3, v1)) % 15.15/2.83 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 15.15/2.83 | ! [v5: $i] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ % 15.15/2.83 | (ordered_pair(v3, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 15.15/2.83 | $i(v1) | ~ $i(v0) | ~ relation(v2) | ~ relation(v0) | ~ in(v5, % 15.15/2.83 | v2) | in(v5, v0)) % 15.15/2.83 | % 15.15/2.83 | ALPHA: (d4_relat_1) implies: % 15.15/2.83 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_dom(v0) = v1) | % 15.15/2.83 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v0) | ~ in(v2, v1) | % 15.15/2.83 | ? [v3: $i] : ? [v4: $i] : (ordered_pair(v2, v3) = v4 & $i(v4) & % 15.15/2.83 | $i(v3) & in(v4, v0))) % 15.15/2.83 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 15.15/2.83 | ~ (relation_dom(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ % 15.15/2.83 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v0) | ~ % 15.15/2.83 | in(v4, v0) | in(v2, v1)) % 15.15/2.83 | % 15.15/2.83 | DELTA: instantiating (t86_relat_1) with fresh symbols all_32_0, all_32_1, % 15.15/2.83 | all_32_2, all_32_3, all_32_4, all_32_5 gives: % 15.15/2.83 | (6) relation_dom(all_32_2) = all_32_1 & relation_dom_restriction(all_32_3, % 15.15/2.83 | all_32_4) = all_32_2 & $i(all_32_1) & $i(all_32_2) & $i(all_32_3) & % 15.15/2.83 | $i(all_32_4) & $i(all_32_5) & relation(all_32_3) & % 15.15/2.83 | ((relation_dom(all_32_3) = all_32_0 & $i(all_32_0) & in(all_32_5, % 15.15/2.83 | all_32_0) & in(all_32_5, all_32_4) & ~ in(all_32_5, all_32_1)) | % 15.15/2.83 | (in(all_32_5, all_32_1) & ( ~ in(all_32_5, all_32_4) | % 15.15/2.83 | (relation_dom(all_32_3) = all_32_0 & $i(all_32_0) & ~ % 15.15/2.83 | in(all_32_5, all_32_0))))) % 15.15/2.83 | % 15.15/2.83 | ALPHA: (6) implies: % 15.15/2.83 | (7) relation(all_32_3) % 15.15/2.84 | (8) $i(all_32_5) % 15.15/2.84 | (9) $i(all_32_4) % 15.15/2.84 | (10) $i(all_32_3) % 15.15/2.84 | (11) $i(all_32_2) % 15.15/2.84 | (12) $i(all_32_1) % 15.15/2.84 | (13) relation_dom_restriction(all_32_3, all_32_4) = all_32_2 % 15.15/2.84 | (14) relation_dom(all_32_2) = all_32_1 % 15.15/2.84 | (15) (relation_dom(all_32_3) = all_32_0 & $i(all_32_0) & in(all_32_5, % 15.15/2.84 | all_32_0) & in(all_32_5, all_32_4) & ~ in(all_32_5, all_32_1)) | % 15.15/2.84 | (in(all_32_5, all_32_1) & ( ~ in(all_32_5, all_32_4) | % 15.15/2.84 | (relation_dom(all_32_3) = all_32_0 & $i(all_32_0) & ~ % 15.15/2.84 | in(all_32_5, all_32_0)))) % 15.15/2.84 | % 15.15/2.84 | GROUND_INST: instantiating (dt_k7_relat_1) with all_32_3, all_32_4, all_32_2, % 15.15/2.84 | simplifying with (7), (9), (10), (13) gives: % 15.15/2.84 | (16) relation(all_32_2) % 15.15/2.84 | % 15.15/2.84 | BETA: splitting (15) gives: % 15.15/2.84 | % 15.15/2.84 | Case 1: % 15.15/2.84 | | % 15.15/2.84 | | (17) relation_dom(all_32_3) = all_32_0 & $i(all_32_0) & in(all_32_5, % 15.15/2.84 | | all_32_0) & in(all_32_5, all_32_4) & ~ in(all_32_5, all_32_1) % 15.15/2.84 | | % 15.15/2.84 | | ALPHA: (17) implies: % 15.15/2.84 | | (18) ~ in(all_32_5, all_32_1) % 15.15/2.84 | | (19) in(all_32_5, all_32_4) % 15.15/2.84 | | (20) in(all_32_5, all_32_0) % 15.15/2.84 | | (21) $i(all_32_0) % 15.15/2.84 | | (22) relation_dom(all_32_3) = all_32_0 % 15.15/2.84 | | % 15.15/2.84 | | GROUND_INST: instantiating (4) with all_32_3, all_32_0, all_32_5, % 15.15/2.84 | | simplifying with (7), (8), (10), (20), (21), (22) gives: % 15.15/2.84 | | (23) ? [v0: $i] : ? [v1: $i] : (ordered_pair(all_32_5, v0) = v1 & % 15.15/2.84 | | $i(v1) & $i(v0) & in(v1, all_32_3)) % 15.15/2.84 | | % 15.15/2.84 | | DELTA: instantiating (23) with fresh symbols all_60_0, all_60_1 gives: % 15.15/2.84 | | (24) ordered_pair(all_32_5, all_60_1) = all_60_0 & $i(all_60_0) & % 15.15/2.84 | | $i(all_60_1) & in(all_60_0, all_32_3) % 15.15/2.84 | | % 15.15/2.84 | | ALPHA: (24) implies: % 15.15/2.84 | | (25) in(all_60_0, all_32_3) % 15.15/2.84 | | (26) $i(all_60_1) % 15.15/2.84 | | (27) ordered_pair(all_32_5, all_60_1) = all_60_0 % 15.15/2.84 | | % 15.15/2.84 | | GROUND_INST: instantiating (1) with all_32_3, all_32_4, all_32_2, all_32_5, % 15.15/2.84 | | all_60_1, all_60_0, simplifying with (7), (8), (9), (10), (11), % 15.15/2.84 | | (13), (16), (19), (25), (26), (27) gives: % 15.15/2.84 | | (28) in(all_60_0, all_32_2) % 15.15/2.84 | | % 15.15/2.84 | | GROUND_INST: instantiating (5) with all_32_2, all_32_1, all_32_5, all_60_1, % 15.15/2.84 | | all_60_0, simplifying with (8), (11), (12), (14), (16), (18), % 15.15/2.84 | | (26), (27), (28) gives: % 15.15/2.84 | | (29) $false % 15.15/2.84 | | % 15.15/2.84 | | CLOSE: (29) is inconsistent. % 15.15/2.84 | | % 15.15/2.85 | Case 2: % 15.15/2.85 | | % 15.15/2.85 | | (30) in(all_32_5, all_32_1) & ( ~ in(all_32_5, all_32_4) | % 15.15/2.85 | | (relation_dom(all_32_3) = all_32_0 & $i(all_32_0) & ~ % 15.15/2.85 | | in(all_32_5, all_32_0))) % 15.15/2.85 | | % 15.15/2.85 | | ALPHA: (30) implies: % 15.15/2.85 | | (31) in(all_32_5, all_32_1) % 15.15/2.85 | | (32) ~ in(all_32_5, all_32_4) | (relation_dom(all_32_3) = all_32_0 & % 15.15/2.85 | | $i(all_32_0) & ~ in(all_32_5, all_32_0)) % 15.15/2.85 | | % 15.15/2.85 | | GROUND_INST: instantiating (4) with all_32_2, all_32_1, all_32_5, % 15.15/2.85 | | simplifying with (8), (11), (12), (14), (16), (31) gives: % 15.15/2.85 | | (33) ? [v0: $i] : ? [v1: $i] : (ordered_pair(all_32_5, v0) = v1 & % 15.15/2.85 | | $i(v1) & $i(v0) & in(v1, all_32_2)) % 15.15/2.85 | | % 15.15/2.85 | | DELTA: instantiating (33) with fresh symbols all_60_0, all_60_1 gives: % 15.15/2.85 | | (34) ordered_pair(all_32_5, all_60_1) = all_60_0 & $i(all_60_0) & % 15.15/2.85 | | $i(all_60_1) & in(all_60_0, all_32_2) % 15.15/2.85 | | % 15.15/2.85 | | ALPHA: (34) implies: % 15.15/2.85 | | (35) in(all_60_0, all_32_2) % 15.15/2.85 | | (36) $i(all_60_1) % 15.15/2.85 | | (37) ordered_pair(all_32_5, all_60_1) = all_60_0 % 15.15/2.85 | | % 15.15/2.85 | | GROUND_INST: instantiating (3) with all_32_3, all_32_4, all_32_2, all_32_5, % 15.15/2.85 | | all_60_1, all_60_0, simplifying with (7), (8), (9), (10), (11), % 15.15/2.85 | | (13), (16), (35), (36), (37) gives: % 15.15/2.85 | | (38) in(all_60_0, all_32_3) % 15.15/2.85 | | % 15.15/2.85 | | GROUND_INST: instantiating (2) with all_32_3, all_32_4, all_32_2, all_32_5, % 15.15/2.85 | | all_60_1, all_60_0, simplifying with (7), (8), (9), (10), (11), % 15.15/2.85 | | (13), (16), (35), (36), (37) gives: % 15.15/2.85 | | (39) in(all_32_5, all_32_4) % 15.15/2.85 | | % 15.15/2.85 | | BETA: splitting (32) gives: % 15.15/2.85 | | % 15.15/2.85 | | Case 1: % 15.15/2.85 | | | % 15.15/2.85 | | | (40) ~ in(all_32_5, all_32_4) % 15.15/2.85 | | | % 15.15/2.85 | | | PRED_UNIFY: (39), (40) imply: % 15.15/2.85 | | | (41) $false % 15.15/2.85 | | | % 15.15/2.85 | | | CLOSE: (41) is inconsistent. % 15.15/2.85 | | | % 15.15/2.85 | | Case 2: % 15.15/2.85 | | | % 15.15/2.85 | | | (42) relation_dom(all_32_3) = all_32_0 & $i(all_32_0) & ~ in(all_32_5, % 15.15/2.85 | | | all_32_0) % 15.15/2.85 | | | % 15.15/2.85 | | | ALPHA: (42) implies: % 15.15/2.85 | | | (43) ~ in(all_32_5, all_32_0) % 15.15/2.85 | | | (44) $i(all_32_0) % 15.15/2.85 | | | (45) relation_dom(all_32_3) = all_32_0 % 15.15/2.85 | | | % 15.15/2.85 | | | GROUND_INST: instantiating (5) with all_32_3, all_32_0, all_32_5, % 15.15/2.85 | | | all_60_1, all_60_0, simplifying with (7), (8), (10), (36), % 15.15/2.85 | | | (37), (38), (43), (44), (45) gives: % 15.15/2.85 | | | (46) $false % 15.15/2.85 | | | % 15.15/2.85 | | | CLOSE: (46) is inconsistent. % 15.15/2.85 | | | % 15.15/2.85 | | End of split % 15.15/2.85 | | % 15.15/2.85 | End of split % 15.15/2.85 | % 15.15/2.85 End of proof % 15.15/2.85 % SZS output end Proof for theBenchmark % 15.15/2.85 % 15.15/2.85 2251ms %------------------------------------------------------------------------------