%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ITP001_1 : TPTP v8.1.2. Bugfixed v7.5.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n028.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 04:08:14 EDT 2023 % Result : Theorem 8.17s 1.88s % Output : Proof 11.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP001_1 : TPTP v8.1.2. Bugfixed v7.5.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.18/0.35 % Computer : n028.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Sun Aug 27 15:21:53 EDT 2023 % 0.18/0.35 % CPUTime : % 0.21/0.62 ________ _____ % 0.21/0.62 ___ __ \_________(_)________________________________ % 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.62 % 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.62 (2023-06-19) % 0.21/0.62 % 0.21/0.62 (c) Philipp Rümmer, 2009-2023 % 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.62 Amanda Stjerna. % 0.21/0.62 Free software under BSD-3-Clause. % 0.21/0.62 % 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.62 % 0.21/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.51/1.22 Prover 1: Preprocessing ... % 3.51/1.22 Prover 4: Preprocessing ... % 3.81/1.26 Prover 6: Preprocessing ... % 3.81/1.26 Prover 3: Preprocessing ... % 3.81/1.26 Prover 2: Preprocessing ... % 3.81/1.26 Prover 5: Preprocessing ... % 3.81/1.26 Prover 0: Preprocessing ... % 7.42/1.83 Prover 5: Constructing countermodel ... % 8.17/1.84 Prover 2: Constructing countermodel ... % 8.17/1.86 Prover 4: Warning: ignoring some quantifiers % 8.17/1.88 Prover 2: proved (1234ms) % 8.17/1.88 Prover 5: proved (1229ms) % 8.17/1.88 % 8.17/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.17/1.88 % 8.17/1.88 % 8.17/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.17/1.88 % 8.17/1.89 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.61/1.91 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.61/1.93 Prover 1: Warning: ignoring some quantifiers % 8.61/1.93 Prover 3: Warning: ignoring some quantifiers % 8.61/1.96 Prover 4: Constructing countermodel ... % 9.03/1.98 Prover 1: Constructing countermodel ... % 9.03/1.98 Prover 0: Proving ... % 9.03/1.99 Prover 8: Preprocessing ... % 9.03/2.00 Prover 0: stopped % 9.03/2.00 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 9.03/2.01 Prover 6: Proving ... % 9.03/2.01 Prover 3: Constructing countermodel ... % 9.03/2.01 Prover 6: stopped % 9.03/2.02 Prover 3: stopped % 9.03/2.02 Prover 7: Preprocessing ... % 9.03/2.02 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.03/2.02 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 9.75/2.08 Prover 11: Preprocessing ... % 10.00/2.10 Prover 10: Preprocessing ... % 10.00/2.11 Prover 13: Preprocessing ... % 10.28/2.20 Prover 1: Found proof (size 8) % 10.28/2.20 Prover 1: proved (1563ms) % 10.28/2.20 Prover 10: stopped % 10.28/2.21 Prover 4: Found proof (size 8) % 10.28/2.21 Prover 4: proved (1561ms) % 10.28/2.21 Prover 11: stopped % 10.28/2.24 Prover 13: stopped % 10.28/2.25 Prover 7: Warning: ignoring some quantifiers % 10.28/2.26 Prover 8: Warning: ignoring some quantifiers % 10.28/2.27 Prover 7: Constructing countermodel ... % 11.07/2.28 Prover 8: Constructing countermodel ... % 11.07/2.28 Prover 7: stopped % 11.07/2.29 Prover 8: stopped % 11.07/2.29 % 11.07/2.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.07/2.29 % 11.07/2.29 % SZS output start Proof for theBenchmark % 11.07/2.30 Assumptions after simplification: % 11.07/2.30 --------------------------------- % 11.07/2.30 % 11.07/2.30 (reserved_2Eho_2Etruth) % 11.07/2.32 p(mono_2Ec_2Ebool_2ET_2E0) = 0 & % 11.07/2.32 mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0) % 11.07/2.32 % 11.07/2.32 (thm_2Ebool_2ETRUTH) % 11.07/2.32 mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0) & ? [v0: int] : ( ~ (v0 = % 11.07/2.32 0) & p(mono_2Ec_2Ebool_2ET_2E0) = v0) % 11.07/2.32 % 11.07/2.32 (thm_2Ebool_2ET__DEF) % 11.07/2.32 p(mono_2Ec_2Ebool_2ET_2E0) = 0 & % 11.07/2.32 mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0) % 11.07/2.32 % 11.07/2.32 (function-axioms) % 11.07/2.33 ! [v0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : % 11.07/2.33 ! [v1: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : % 11.07/2.33 ! [v2: mono_2Etyop_2Emin_2Ebool] : ! [v3: % 11.07/2.33 mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] % 11.07/2.33 : (v1 = v0 | ~ % 11.07/2.33 (mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(v3, % 11.07/2.33 v2) = v1) | ~ % 11.07/2.33 (mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(v3, % 11.07/2.33 v2) = v0)) & ! [v0: mono_2Etyop_2Emin_2Ebool] : ! [v1: % 11.07/2.33 mono_2Etyop_2Emin_2Ebool] : ! [v2: mono_2Etyop_2Emin_2Ebool] : ! [v3: % 11.07/2.33 mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : (v1 = % 11.07/2.33 v0 | ~ % 11.07/2.33 (mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(v3, % 11.07/2.33 v2) = v1) | ~ % 11.07/2.33 (mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(v3, % 11.07/2.33 v2) = v0)) & ! [v0: u] : ! [v1: u] : ! [v2: du] : ! [v3: du] : (v1 = % 11.07/2.33 v0 | ~ (c_2Emin_2E_3D_2E2(v3, v2) = v1) | ~ (c_2Emin_2E_3D_2E2(v3, v2) = % 11.07/2.33 v0)) & ! [v0: mono_2Etyop_2Emin_2Ebool] : ! [v1: % 11.07/2.33 mono_2Etyop_2Emin_2Ebool] : ! [v2: mono_2Etyop_2Emin_2Ebool] : ! [v3: % 11.07/2.33 mono_2Etyop_2Emin_2Ebool] : (v1 = v0 | ~ % 11.07/2.33 (mono_2Ec_2Emin_2E_3D_3D_3E_2E2(v3, v2) = v1) | ~ % 11.07/2.33 (mono_2Ec_2Emin_2E_3D_3D_3E_2E2(v3, v2) = v0)) & ! [v0: % 11.07/2.33 mono_2Etyop_2Emin_2Ebool] : ! [v1: mono_2Etyop_2Emin_2Ebool] : ! [v2: % 11.07/2.33 mono_2Etyop_2Emin_2Ebool] : ! [v3: mono_2Etyop_2Emin_2Ebool] : (v1 = v0 | % 11.07/2.33 ~ (mono_2Ec_2Ebool_2E_5C_2F_2E2(v3, v2) = v1) | ~ % 11.07/2.33 (mono_2Ec_2Ebool_2E_5C_2F_2E2(v3, v2) = v0)) & ! [v0: % 11.07/2.33 mono_2Etyop_2Emin_2Ebool] : ! [v1: mono_2Etyop_2Emin_2Ebool] : ! [v2: % 11.07/2.33 mono_2Etyop_2Emin_2Ebool] : ! [v3: mono_2Etyop_2Emin_2Ebool] : (v1 = v0 | % 11.07/2.34 ~ (mono_2Ec_2Ebool_2E_2F_5C_2E2(v3, v2) = v1) | ~ % 11.07/2.34 (mono_2Ec_2Ebool_2E_2F_5C_2E2(v3, v2) = v0)) & ! [v0: d] : ! [v1: d] : ! % 11.07/2.34 [v2: d] : ! [v3: d] : (v1 = v0 | ~ (tyop_2Emin_2Efun(v3, v2) = v1) | ~ % 11.07/2.34 (tyop_2Emin_2Efun(v3, v2) = v0)) & ! [v0: u] : ! [v1: u] : ! [v2: du] : % 11.07/2.34 ! [v3: du] : (v1 = v0 | ~ (app_2E2(v3, v2) = v1) | ~ (app_2E2(v3, v2) = v0)) % 11.07/2.34 & ! [v0: du] : ! [v1: du] : ! [v2: u] : ! [v3: d] : (v1 = v0 | ~ (s(v3, % 11.07/2.34 v2) = v1) | ~ (s(v3, v2) = v0)) & ! [v0: % 11.07/2.34 mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] % 11.07/2.34 : ! [v1: % 11.07/2.34 mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] % 11.07/2.34 : ! [v2: du] : (v1 = v0 | ~ % 11.07/2.34 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(v2) % 11.07/2.34 = v1) | ~ % 11.07/2.34 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(v2) % 11.07/2.34 = v0)) & ! [v0: u] : ! [v1: u] : ! [v2: % 11.07/2.34 mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] % 11.07/2.34 : (v1 = v0 | ~ % 11.07/2.34 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(v2) % 11.07/2.34 = v1) | ~ % 11.07/2.34 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(v2) % 11.07/2.34 = v0)) & ! [v0: % 11.07/2.34 mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : ! % 11.07/2.34 [v1: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : ! % 11.07/2.34 [v2: du] : (v1 = v0 | ~ % 11.07/2.34 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(v2) = % 11.07/2.34 v1) | ~ % 11.07/2.34 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(v2) = % 11.07/2.34 v0)) & ! [v0: u] : ! [v1: u] : ! [v2: % 11.07/2.34 mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : (v1 = % 11.07/2.34 v0 | ~ % 11.07/2.34 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(v2) = % 11.07/2.34 v1) | ~ % 11.07/2.34 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(v2) = % 11.07/2.34 v0)) & ! [v0: u] : ! [v1: u] : ! [v2: mono_2Etyop_2Emin_2Ebool] : (v1 = % 11.07/2.34 v0 | ~ (i_mono_2Etyop_2Emin_2Ebool(v2) = v1) | ~ % 11.07/2.34 (i_mono_2Etyop_2Emin_2Ebool(v2) = v0)) & ! [v0: u] : ! [v1: u] : ! [v2: % 11.07/2.34 du] : (v1 = v0 | ~ (c_2Ebool_2E_3F_2E1(v2) = v1) | ~ % 11.07/2.34 (c_2Ebool_2E_3F_2E1(v2) = v0)) & ! [v0: u] : ! [v1: u] : ! [v2: du] : (v1 % 11.07/2.34 = v0 | ~ (c_2Ebool_2E_21_2E1(v2) = v1) | ~ (c_2Ebool_2E_21_2E1(v2) = v0)) % 11.07/2.34 & ! [v0: mono_2Etyop_2Emin_2Ebool] : ! [v1: mono_2Etyop_2Emin_2Ebool] : ! % 11.07/2.34 [v2: du] : (v1 = v0 | ~ (j_mono_2Etyop_2Emin_2Ebool(v2) = v1) | ~ % 11.07/2.34 (j_mono_2Etyop_2Emin_2Ebool(v2) = v0)) & ! [v0: mono_2Etyop_2Emin_2Ebool] : % 11.07/2.34 ! [v1: mono_2Etyop_2Emin_2Ebool] : ! [v2: mono_2Etyop_2Emin_2Ebool] : (v1 = % 11.07/2.34 v0 | ~ (mono_2Ec_2Ebool_2E_7E_2E1(v2) = v1) | ~ % 11.07/2.34 (mono_2Ec_2Ebool_2E_7E_2E1(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.07/2.34 MultipleValueBool] : ! [v2: mono_2Etyop_2Emin_2Ebool] : (v1 = v0 | ~ % 11.07/2.34 (p(v2) = v1) | ~ (p(v2) = v0)) % 11.07/2.34 % 11.07/2.34 Further assumptions not needed in the proof: % 11.07/2.34 -------------------------------------------- % 11.07/2.34 arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a, % 11.07/2.34 arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a, arityeq1_2Ec_2Ebool_2E_7E_2E1, % 11.07/2.34 arityeq2_2Ec_2Ebool_2E_2F_5C_2E2, arityeq2_2Ec_2Ebool_2E_5C_2F_2E2, % 11.07/2.34 arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a, arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2, % 11.07/2.34 ij_2Emono_2Etyop_2Emin_2Ebool, % 11.07/2.34 ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29, % 11.07/2.34 ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29, % 11.07/2.34 ji_2Emono_2Etyop_2Emin_2Ebool, % 11.07/2.34 ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29, % 11.07/2.34 ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29, % 11.07/2.34 monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool, % 11.07/2.34 monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29, % 11.07/2.34 reserved_2Eho_2Ebool__cases__ax, reserved_2Eho_2Eboolext, % 11.07/2.34 reserved_2Eho_2Eeq__ext, reserved_2Eho_2Ei__thm, reserved_2Eho_2Ek__thm, % 11.07/2.34 reserved_2Eho_2Enotfalse, reserved_2Eho_2Es__thm, reserved_2Elogic_2E_2F_5C, % 11.07/2.34 reserved_2Elogic_2E_3D, reserved_2Elogic_2E_3D_3D_3E, reserved_2Elogic_2E_5C_2F, % 11.07/2.34 reserved_2Elogic_2E_7E, reserved_2Equant_2E_21, reserved_2Equant_2E_3F % 11.07/2.34 % 11.07/2.34 Those formulas are unsatisfiable: % 11.07/2.34 --------------------------------- % 11.07/2.34 % 11.07/2.34 Begin of proof % 11.07/2.34 | % 11.07/2.34 | ALPHA: (thm_2Ebool_2ET__DEF) implies: % 11.07/2.34 | (1) p(mono_2Ec_2Ebool_2ET_2E0) = 0 % 11.07/2.34 | % 11.07/2.34 | ALPHA: (thm_2Ebool_2ETRUTH) implies: % 11.07/2.34 | (2) ? [v0: int] : ( ~ (v0 = 0) & p(mono_2Ec_2Ebool_2ET_2E0) = v0) % 11.07/2.34 | % 11.07/2.34 | ALPHA: (function-axioms) implies: % 11.07/2.34 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 11.07/2.34 | mono_2Etyop_2Emin_2Ebool] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = % 11.07/2.34 | v0)) % 11.07/2.34 | % 11.07/2.34 | DELTA: instantiating (2) with fresh symbol all_37_0 gives: % 11.07/2.34 | (4) ~ (all_37_0 = 0) & p(mono_2Ec_2Ebool_2ET_2E0) = all_37_0 % 11.07/2.34 | % 11.07/2.34 | ALPHA: (4) implies: % 11.58/2.34 | (5) ~ (all_37_0 = 0) % 11.58/2.34 | (6) p(mono_2Ec_2Ebool_2ET_2E0) = all_37_0 % 11.58/2.34 | % 11.58/2.34 | GROUND_INST: instantiating (3) with 0, all_37_0, mono_2Ec_2Ebool_2ET_2E0, % 11.58/2.34 | simplifying with (1), (6) gives: % 11.58/2.34 | (7) all_37_0 = 0 % 11.58/2.34 | % 11.58/2.34 | REDUCE: (5), (7) imply: % 11.58/2.35 | (8) $false % 11.58/2.35 | % 11.58/2.35 | CLOSE: (8) is inconsistent. % 11.58/2.35 | % 11.58/2.35 End of proof % 11.58/2.35 % SZS output end Proof for theBenchmark % 11.58/2.35 % 11.58/2.35 1725ms %------------------------------------------------------------------------------