%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n004.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 17:44:47 EDT 2023 % Result : Theorem 9.54s 2.02s % Output : Proof 11.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n004.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 18:48:23 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.59 ________ _____ % 0.20/0.59 ___ __ \_________(_)________________________________ % 0.20/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.59 % 0.20/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.59 (2023-06-19) % 0.20/0.59 % 0.20/0.59 (c) Philipp Rümmer, 2009-2023 % 0.20/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.59 Amanda Stjerna. % 0.20/0.59 Free software under BSD-3-Clause. % 0.20/0.59 % 0.20/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.59 % 0.20/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.61 Running up to 7 provers in parallel. % 0.20/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.76/1.11 Prover 4: Preprocessing ... % 2.76/1.12 Prover 1: Preprocessing ... % 3.18/1.15 Prover 3: Preprocessing ... % 3.18/1.15 Prover 2: Preprocessing ... % 3.18/1.15 Prover 5: Preprocessing ... % 3.18/1.15 Prover 0: Preprocessing ... % 3.18/1.15 Prover 6: Preprocessing ... % 7.00/1.69 Prover 1: Warning: ignoring some quantifiers % 7.77/1.77 Prover 4: Warning: ignoring some quantifiers % 7.77/1.77 Prover 6: Proving ... % 7.77/1.78 Prover 1: Constructing countermodel ... % 7.77/1.79 Prover 5: Proving ... % 7.77/1.81 Prover 3: Warning: ignoring some quantifiers % 7.77/1.81 Prover 2: Proving ... % 8.25/1.84 Prover 4: Constructing countermodel ... % 8.25/1.84 Prover 3: Constructing countermodel ... % 8.49/1.95 Prover 0: Proving ... % 8.49/2.00 Prover 3: proved (1377ms) % 8.49/2.00 % 9.54/2.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 9.54/2.02 % 9.54/2.03 Prover 5: stopped % 9.54/2.03 Prover 2: stopped % 9.54/2.03 Prover 6: stopped % 9.54/2.03 Prover 0: stopped % 9.54/2.04 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.54/2.04 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 9.54/2.04 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.54/2.04 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 9.54/2.04 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 9.82/2.08 Prover 11: Preprocessing ... % 9.82/2.09 Prover 8: Preprocessing ... % 9.82/2.10 Prover 7: Preprocessing ... % 9.82/2.11 Prover 13: Preprocessing ... % 9.82/2.11 Prover 10: Preprocessing ... % 10.66/2.17 Prover 1: Found proof (size 27) % 10.66/2.17 Prover 1: proved (1553ms) % 10.66/2.17 Prover 7: stopped % 10.66/2.17 Prover 4: stopped % 10.66/2.19 Prover 10: stopped % 10.66/2.19 Prover 11: stopped % 10.66/2.21 Prover 13: stopped % 11.09/2.26 Prover 8: Warning: ignoring some quantifiers % 11.24/2.28 Prover 8: Constructing countermodel ... % 11.24/2.29 Prover 8: stopped % 11.24/2.29 % 11.24/2.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.24/2.29 % 11.24/2.30 % SZS output start Proof for theBenchmark % 11.24/2.31 Assumptions after simplification: % 11.24/2.31 --------------------------------- % 11.24/2.31 % 11.24/2.31 (s8_domain_1__e1_46__relset_2) % 11.52/2.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 11.52/2.33 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: int] : (v9 = 0 | ~ % 11.52/2.33 (a_6_0_relset_2(v0, v1, v2, v3, v4, v5) = v6) | ~ (k1_zfmisc_1(v7) = v8) | % 11.52/2.33 ~ (k1_zfmisc_1(v4) = v7) | ~ (m1_subset_1(v6, v8) = v9) | ~ $i(v5) | ~ % 11.52/2.33 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: $i] : ? % 11.52/2.33 [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: $i] : ? [v15: any] : % 11.52/2.33 (k2_zfmisc_1(v0, v1) = v10 & k1_zfmisc_1(v11) = v12 & k1_zfmisc_1(v10) = v11 % 11.52/2.33 & k1_zfmisc_1(v3) = v14 & m1_subset_1(v5, v14) = v15 & m1_subset_1(v2, % 11.52/2.33 v12) = v13 & $i(v14) & $i(v12) & $i(v11) & $i(v10) & ( ~ (v15 = 0) | ~ % 11.52/2.33 (v13 = 0)))) % 11.52/2.33 % 11.52/2.33 (t36_relset_2) % 11.52/2.34 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 11.52/2.34 $i] : (k2_zfmisc_1(v0, v1) = v3 & k1_zfmisc_1(v4) = v5 & k1_zfmisc_1(v3) = % 11.52/2.34 v4 & m1_subset_1(v2, v5) = 0 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 11.52/2.34 $i(v0) & ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: % 11.52/2.34 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: int] : ( ~ (v13 = 0) & % 11.52/2.34 a_6_0_relset_2(v0, v1, v2, v6, v7, v8) = v10 & k1_zfmisc_1(v11) = v12 & % 11.52/2.34 k1_zfmisc_1(v7) = v11 & k1_zfmisc_1(v6) = v9 & m1_subset_1(v10, v12) = v13 % 11.52/2.34 & m1_subset_1(v8, v9) = 0 & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) % 11.52/2.34 & $i(v7) & $i(v6))) % 11.52/2.34 % 11.52/2.34 (function-axioms) % 11.52/2.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 11.52/2.35 $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 | ~ (a_6_0_relset_2(v7, v6, v5, % 11.52/2.35 v4, v3, v2) = v1) | ~ (a_6_0_relset_2(v7, v6, v5, v4, v3, v2) = v0)) & % 11.52/2.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 11.52/2.35 $i] : (v1 = v0 | ~ (k8_relset_2(v5, v4, v3, v2) = v1) | ~ (k8_relset_2(v5, % 11.52/2.35 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 11.52/2.35 $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ (k4_relset_2(v5, v4, v3, v2) % 11.52/2.35 = v1) | ~ (k4_relset_2(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 11.52/2.35 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ % 11.52/2.35 (k7_relset_2(v5, v4, v3, v2) = v1) | ~ (k7_relset_2(v5, v4, v3, v2) = v0)) % 11.52/2.35 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 11.52/2.35 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (m1_relset_1(v4, v3, v2) = v1) | ~ % 11.52/2.35 (m1_relset_1(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.52/2.35 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 11.52/2.35 (v1_funct_2(v4, v3, v2) = v1) | ~ (v1_funct_2(v4, v3, v2) = v0)) & ! [v0: % 11.52/2.35 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 11.52/2.35 : ! [v4: $i] : (v1 = v0 | ~ (m2_relset_1(v4, v3, v2) = v1) | ~ % 11.52/2.35 (m2_relset_1(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 11.52/2.35 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (k6_relset_2(v4, v3, v2) = v1) | ~ % 11.52/2.35 (k6_relset_2(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.52/2.35 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 11.52/2.35 (r1_tarski(v3, v2) = v1) | ~ (r1_tarski(v3, v2) = v0)) & ! [v0: $i] : ! % 11.52/2.35 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k9_relat_1(v3, v2) = v1) % 11.52/2.35 | ~ (k9_relat_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 11.52/2.35 ! [v3: $i] : (v1 = v0 | ~ (k5_relset_2(v3, v2) = v1) | ~ (k5_relset_2(v3, % 11.52/2.35 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 11.52/2.35 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (m1_eqrel_1(v3, v2) = v1) | ~ % 11.52/2.35 (m1_eqrel_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 11.52/2.35 [v3: $i] : (v1 = v0 | ~ (k8_setfam_1(v3, v2) = v1) | ~ (k8_setfam_1(v3, v2) % 11.52/2.35 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 % 11.52/2.35 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: % 11.52/2.35 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 11.52/2.35 : (v1 = v0 | ~ (m1_subset_1(v3, v2) = v1) | ~ (m1_subset_1(v3, v2) = v0)) & % 11.52/2.35 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 11.52/2.35 $i] : (v1 = v0 | ~ (r2_hidden(v3, v2) = v1) | ~ (r2_hidden(v3, v2) = v0)) % 11.52/2.35 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 % 11.52/2.35 = v0 | ~ (v3_relat_1(v2) = v1) | ~ (v3_relat_1(v2) = v0)) & ! [v0: % 11.52/2.35 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.52/2.35 ~ (v1_funct_1(v2) = v1) | ~ (v1_funct_1(v2) = v0)) & ! [v0: $i] : ! [v1: % 11.52/2.35 $i] : ! [v2: $i] : (v1 = v0 | ~ (k3_pua2mss1(v2) = v1) | ~ % 11.52/2.35 (k3_pua2mss1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 11.52/2.35 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: % 11.52/2.35 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.52/2.35 ~ (v1_relat_1(v2) = v1) | ~ (v1_relat_1(v2) = v0)) & ! [v0: % 11.52/2.35 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.52/2.35 ~ (v1_xboole_0(v2) = v1) | ~ (v1_xboole_0(v2) = v0)) % 11.52/2.35 % 11.52/2.35 Further assumptions not needed in the proof: % 11.52/2.35 -------------------------------------------- % 11.52/2.35 antisymmetry_r2_hidden, cc1_relat_1, cc1_relset_1, d4_relset_2, dt_k1_xboole_0, % 11.52/2.35 dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_k3_pua2mss1, dt_k4_relset_2, dt_k5_relset_2, % 11.52/2.35 dt_k6_relset_2, dt_k7_relset_2, dt_k8_relset_2, dt_k8_setfam_1, dt_k9_relat_1, % 11.52/2.35 dt_m1_eqrel_1, dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1, % 11.52/2.35 existence_m1_eqrel_1, existence_m1_relset_1, existence_m1_subset_1, % 11.52/2.35 existence_m2_relset_1, fc12_relat_1, fc1_subset_1, fc1_sysrel, fc4_relat_1, % 11.52/2.35 fc4_subset_1, fraenkel_a_6_0_relset_2, rc1_relat_1, rc1_subset_1, rc2_partfun1, % 11.52/2.35 rc2_relat_1, rc2_subset_1, rc3_relat_1, redefinition_k4_relset_2, % 11.52/2.35 redefinition_k6_relset_2, redefinition_k8_relset_2, redefinition_m2_relset_1, % 11.52/2.35 reflexivity_r1_tarski, t1_subset, t2_subset, t2_tarski, t3_subset, t4_subset, % 11.52/2.35 t5_subset, t6_boole, t7_boole, t8_boole % 11.52/2.35 % 11.52/2.35 Those formulas are unsatisfiable: % 11.52/2.35 --------------------------------- % 11.52/2.35 % 11.52/2.35 Begin of proof % 11.52/2.35 | % 11.52/2.35 | ALPHA: (function-axioms) implies: % 11.52/2.35 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 11.52/2.35 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 11.52/2.35 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 11.52/2.35 | ! [v3: $i] : (v1 = v0 | ~ (m1_subset_1(v3, v2) = v1) | ~ % 11.52/2.35 | (m1_subset_1(v3, v2) = v0)) % 11.52/2.35 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 11.52/2.35 | (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) % 11.52/2.35 | % 11.52/2.35 | DELTA: instantiating (t36_relset_2) with fresh symbols all_49_0, all_49_1, % 11.52/2.35 | all_49_2, all_49_3, all_49_4, all_49_5 gives: % 11.66/2.36 | (4) k2_zfmisc_1(all_49_5, all_49_4) = all_49_2 & k1_zfmisc_1(all_49_1) = % 11.66/2.36 | all_49_0 & k1_zfmisc_1(all_49_2) = all_49_1 & m1_subset_1(all_49_3, % 11.66/2.36 | all_49_0) = 0 & $i(all_49_0) & $i(all_49_1) & $i(all_49_2) & % 11.66/2.36 | $i(all_49_3) & $i(all_49_4) & $i(all_49_5) & ? [v0: $i] : ? [v1: $i] % 11.66/2.36 | : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 11.66/2.36 | ? [v7: int] : ( ~ (v7 = 0) & a_6_0_relset_2(all_49_5, all_49_4, % 11.66/2.36 | all_49_3, v0, v1, v2) = v4 & k1_zfmisc_1(v5) = v6 & k1_zfmisc_1(v1) % 11.66/2.36 | = v5 & k1_zfmisc_1(v0) = v3 & m1_subset_1(v4, v6) = v7 & % 11.66/2.36 | m1_subset_1(v2, v3) = 0 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) % 11.66/2.36 | & $i(v1) & $i(v0)) % 11.66/2.36 | % 11.66/2.36 | ALPHA: (4) implies: % 11.66/2.36 | (5) $i(all_49_5) % 11.66/2.36 | (6) $i(all_49_4) % 11.66/2.36 | (7) $i(all_49_3) % 11.66/2.36 | (8) m1_subset_1(all_49_3, all_49_0) = 0 % 11.66/2.36 | (9) k1_zfmisc_1(all_49_2) = all_49_1 % 11.66/2.36 | (10) k1_zfmisc_1(all_49_1) = all_49_0 % 11.66/2.36 | (11) k2_zfmisc_1(all_49_5, all_49_4) = all_49_2 % 11.66/2.36 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 11.66/2.36 | ? [v5: $i] : ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) & % 11.66/2.36 | a_6_0_relset_2(all_49_5, all_49_4, all_49_3, v0, v1, v2) = v4 & % 11.66/2.36 | k1_zfmisc_1(v5) = v6 & k1_zfmisc_1(v1) = v5 & k1_zfmisc_1(v0) = v3 & % 11.66/2.36 | m1_subset_1(v4, v6) = v7 & m1_subset_1(v2, v3) = 0 & $i(v6) & $i(v5) % 11.66/2.36 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 11.66/2.36 | % 11.66/2.36 | DELTA: instantiating (12) with fresh symbols all_51_0, all_51_1, all_51_2, % 11.66/2.36 | all_51_3, all_51_4, all_51_5, all_51_6, all_51_7 gives: % 11.66/2.36 | (13) ~ (all_51_0 = 0) & a_6_0_relset_2(all_49_5, all_49_4, all_49_3, % 11.66/2.36 | all_51_7, all_51_6, all_51_5) = all_51_3 & k1_zfmisc_1(all_51_2) = % 11.66/2.36 | all_51_1 & k1_zfmisc_1(all_51_6) = all_51_2 & k1_zfmisc_1(all_51_7) = % 11.66/2.36 | all_51_4 & m1_subset_1(all_51_3, all_51_1) = all_51_0 & % 11.66/2.36 | m1_subset_1(all_51_5, all_51_4) = 0 & $i(all_51_1) & $i(all_51_2) & % 11.66/2.36 | $i(all_51_3) & $i(all_51_4) & $i(all_51_5) & $i(all_51_6) & % 11.66/2.36 | $i(all_51_7) % 11.66/2.36 | % 11.66/2.36 | ALPHA: (13) implies: % 11.66/2.36 | (14) ~ (all_51_0 = 0) % 11.66/2.36 | (15) $i(all_51_7) % 11.66/2.36 | (16) $i(all_51_6) % 11.66/2.36 | (17) $i(all_51_5) % 11.66/2.36 | (18) m1_subset_1(all_51_5, all_51_4) = 0 % 11.66/2.36 | (19) m1_subset_1(all_51_3, all_51_1) = all_51_0 % 11.66/2.36 | (20) k1_zfmisc_1(all_51_7) = all_51_4 % 11.66/2.36 | (21) k1_zfmisc_1(all_51_6) = all_51_2 % 11.66/2.36 | (22) k1_zfmisc_1(all_51_2) = all_51_1 % 11.66/2.36 | (23) a_6_0_relset_2(all_49_5, all_49_4, all_49_3, all_51_7, all_51_6, % 11.66/2.36 | all_51_5) = all_51_3 % 11.66/2.36 | % 11.66/2.36 | GROUND_INST: instantiating (s8_domain_1__e1_46__relset_2) with all_49_5, % 11.66/2.36 | all_49_4, all_49_3, all_51_7, all_51_6, all_51_5, all_51_3, % 11.66/2.36 | all_51_2, all_51_1, all_51_0, simplifying with (5), (6), (7), % 11.66/2.36 | (15), (16), (17), (19), (21), (22), (23) gives: % 11.66/2.36 | (24) all_51_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] % 11.66/2.36 | : ? [v4: $i] : ? [v5: any] : (k2_zfmisc_1(all_49_5, all_49_4) = v0 & % 11.66/2.36 | k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_51_7) % 11.66/2.36 | = v4 & m1_subset_1(all_51_5, v4) = v5 & m1_subset_1(all_49_3, v2) = % 11.66/2.36 | v3 & $i(v4) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v5 = 0) | ~ (v3 = % 11.66/2.36 | 0))) % 11.66/2.36 | % 11.66/2.36 | BETA: splitting (24) gives: % 11.66/2.36 | % 11.66/2.36 | Case 1: % 11.66/2.36 | | % 11.66/2.36 | | (25) all_51_0 = 0 % 11.66/2.37 | | % 11.66/2.37 | | REDUCE: (14), (25) imply: % 11.66/2.37 | | (26) $false % 11.66/2.37 | | % 11.66/2.37 | | CLOSE: (26) is inconsistent. % 11.66/2.37 | | % 11.66/2.37 | Case 2: % 11.66/2.37 | | % 11.66/2.37 | | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: $i] % 11.66/2.37 | | : ? [v5: any] : (k2_zfmisc_1(all_49_5, all_49_4) = v0 & % 11.66/2.37 | | k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & % 11.66/2.37 | | k1_zfmisc_1(all_51_7) = v4 & m1_subset_1(all_51_5, v4) = v5 & % 11.66/2.37 | | m1_subset_1(all_49_3, v2) = v3 & $i(v4) & $i(v2) & $i(v1) & $i(v0) % 11.66/2.37 | | & ( ~ (v5 = 0) | ~ (v3 = 0))) % 11.66/2.37 | | % 11.66/2.37 | | DELTA: instantiating (27) with fresh symbols all_85_0, all_85_1, all_85_2, % 11.66/2.37 | | all_85_3, all_85_4, all_85_5 gives: % 11.66/2.37 | | (28) k2_zfmisc_1(all_49_5, all_49_4) = all_85_5 & k1_zfmisc_1(all_85_4) = % 11.66/2.37 | | all_85_3 & k1_zfmisc_1(all_85_5) = all_85_4 & k1_zfmisc_1(all_51_7) % 11.66/2.37 | | = all_85_1 & m1_subset_1(all_51_5, all_85_1) = all_85_0 & % 11.66/2.37 | | m1_subset_1(all_49_3, all_85_3) = all_85_2 & $i(all_85_1) & % 11.66/2.37 | | $i(all_85_3) & $i(all_85_4) & $i(all_85_5) & ( ~ (all_85_0 = 0) | ~ % 11.66/2.37 | | (all_85_2 = 0)) % 11.66/2.37 | | % 11.66/2.37 | | ALPHA: (28) implies: % 11.66/2.37 | | (29) m1_subset_1(all_49_3, all_85_3) = all_85_2 % 11.66/2.37 | | (30) m1_subset_1(all_51_5, all_85_1) = all_85_0 % 11.66/2.37 | | (31) k1_zfmisc_1(all_51_7) = all_85_1 % 11.66/2.37 | | (32) k1_zfmisc_1(all_85_5) = all_85_4 % 11.66/2.37 | | (33) k1_zfmisc_1(all_85_4) = all_85_3 % 11.66/2.37 | | (34) k2_zfmisc_1(all_49_5, all_49_4) = all_85_5 % 11.66/2.37 | | (35) ~ (all_85_0 = 0) | ~ (all_85_2 = 0) % 11.66/2.37 | | % 11.66/2.37 | | GROUND_INST: instantiating (1) with all_51_4, all_85_1, all_51_7, % 11.66/2.37 | | simplifying with (20), (31) gives: % 11.66/2.37 | | (36) all_85_1 = all_51_4 % 11.66/2.37 | | % 11.66/2.37 | | GROUND_INST: instantiating (3) with all_49_2, all_85_5, all_49_4, all_49_5, % 11.66/2.37 | | simplifying with (11), (34) gives: % 11.66/2.37 | | (37) all_85_5 = all_49_2 % 11.66/2.37 | | % 11.66/2.37 | | REDUCE: (32), (37) imply: % 11.66/2.37 | | (38) k1_zfmisc_1(all_49_2) = all_85_4 % 11.66/2.37 | | % 11.66/2.37 | | REDUCE: (30), (36) imply: % 11.66/2.37 | | (39) m1_subset_1(all_51_5, all_51_4) = all_85_0 % 11.66/2.37 | | % 11.66/2.37 | | GROUND_INST: instantiating (2) with 0, all_85_0, all_51_4, all_51_5, % 11.66/2.37 | | simplifying with (18), (39) gives: % 11.66/2.37 | | (40) all_85_0 = 0 % 11.66/2.37 | | % 11.66/2.37 | | GROUND_INST: instantiating (1) with all_49_1, all_85_4, all_49_2, % 11.66/2.37 | | simplifying with (9), (38) gives: % 11.66/2.37 | | (41) all_85_4 = all_49_1 % 11.66/2.37 | | % 11.66/2.37 | | REDUCE: (33), (41) imply: % 11.66/2.37 | | (42) k1_zfmisc_1(all_49_1) = all_85_3 % 11.66/2.37 | | % 11.66/2.37 | | BETA: splitting (35) gives: % 11.66/2.37 | | % 11.66/2.37 | | Case 1: % 11.66/2.37 | | | % 11.66/2.37 | | | (43) ~ (all_85_0 = 0) % 11.66/2.37 | | | % 11.66/2.37 | | | REDUCE: (40), (43) imply: % 11.66/2.37 | | | (44) $false % 11.66/2.37 | | | % 11.66/2.37 | | | CLOSE: (44) is inconsistent. % 11.66/2.37 | | | % 11.66/2.37 | | Case 2: % 11.66/2.37 | | | % 11.66/2.37 | | | (45) ~ (all_85_2 = 0) % 11.66/2.37 | | | % 11.66/2.37 | | | GROUND_INST: instantiating (1) with all_49_0, all_85_3, all_49_1, % 11.66/2.37 | | | simplifying with (10), (42) gives: % 11.66/2.37 | | | (46) all_85_3 = all_49_0 % 11.66/2.37 | | | % 11.66/2.37 | | | REDUCE: (29), (46) imply: % 11.66/2.37 | | | (47) m1_subset_1(all_49_3, all_49_0) = all_85_2 % 11.66/2.37 | | | % 11.66/2.37 | | | GROUND_INST: instantiating (2) with 0, all_85_2, all_49_0, all_49_3, % 11.66/2.37 | | | simplifying with (8), (47) gives: % 11.66/2.37 | | | (48) all_85_2 = 0 % 11.66/2.37 | | | % 11.66/2.37 | | | REDUCE: (45), (48) imply: % 11.66/2.37 | | | (49) $false % 11.66/2.37 | | | % 11.66/2.37 | | | CLOSE: (49) is inconsistent. % 11.66/2.37 | | | % 11.66/2.37 | | End of split % 11.66/2.37 | | % 11.66/2.38 | End of split % 11.66/2.38 | % 11.66/2.38 End of proof % 11.66/2.38 % SZS output end Proof for theBenchmark % 11.66/2.38 % 11.66/2.38 1780ms %------------------------------------------------------------------------------