%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ITP001+5 : TPTP v8.1.2. Bugfixed v7.5.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n023.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 04:08:17 EDT 2023 % Result : Theorem 15.06s 2.74s % Output : Proof 28.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : ITP001+5 : TPTP v8.1.2. Bugfixed v7.5.0. % 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.32 % Computer : n023.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Sun Aug 27 17:10:41 EDT 2023 % 0.10/0.32 % CPUTime : % 0.58/0.59 ________ _____ % 0.58/0.59 ___ __ \_________(_)________________________________ % 0.58/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.58/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.58/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.58/0.59 % 0.58/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.58/0.60 (2023-06-19) % 0.58/0.60 % 0.58/0.60 (c) Philipp Rümmer, 2009-2023 % 0.58/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.58/0.60 Amanda Stjerna. % 0.58/0.60 Free software under BSD-3-Clause. % 0.58/0.60 % 0.58/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.58/0.60 % 0.58/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.58/0.61 Running up to 7 provers in parallel. % 0.58/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.58/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.58/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.58/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.58/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.58/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.58/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 7.81/1.79 Prover 1: Preprocessing ... % 7.81/1.79 Prover 4: Preprocessing ... % 8.12/1.83 Prover 3: Preprocessing ... % 8.12/1.83 Prover 5: Preprocessing ... % 8.12/1.83 Prover 6: Preprocessing ... % 8.12/1.83 Prover 2: Preprocessing ... % 8.12/1.83 Prover 0: Preprocessing ... % 14.14/2.66 Prover 6: Constructing countermodel ... % 14.14/2.67 Prover 3: Constructing countermodel ... % 15.06/2.73 Prover 6: proved (2110ms) % 15.06/2.74 % 15.06/2.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 15.06/2.74 % 15.06/2.74 Prover 3: proved (2116ms) % 15.06/2.74 % 15.06/2.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 15.06/2.74 % 15.06/2.74 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 15.06/2.75 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 15.06/2.77 Prover 0: stopped % 15.06/2.80 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 15.06/2.80 Prover 2: stopped % 15.80/2.82 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 15.80/2.85 Prover 5: Constructing countermodel ... % 15.80/2.86 Prover 5: stopped % 15.80/2.87 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 16.54/2.98 Prover 8: Preprocessing ... % 17.17/3.02 Prover 10: Preprocessing ... % 17.17/3.05 Prover 13: Preprocessing ... % 17.17/3.08 Prover 7: Preprocessing ... % 17.94/3.10 Prover 11: Preprocessing ... % 23.51/3.82 Prover 1: Constructing countermodel ... % 23.51/3.83 Prover 1: Found proof (size 1) % 23.51/3.83 Prover 1: proved (3212ms) % 23.51/3.84 Prover 11: stopped % 23.51/3.89 Prover 10: Constructing countermodel ... % 23.51/3.89 Prover 10: stopped % 24.84/4.00 Prover 8: Warning: ignoring some quantifiers % 25.13/4.03 Prover 8: Constructing countermodel ... % 25.13/4.03 Prover 8: stopped % 26.29/4.20 Prover 13: Warning: ignoring some quantifiers % 26.29/4.22 Prover 7: Warning: ignoring some quantifiers % 26.29/4.26 Prover 13: Constructing countermodel ... % 26.29/4.26 Prover 13: stopped % 26.29/4.27 Prover 7: Constructing countermodel ... % 26.29/4.27 Prover 7: stopped % 28.40/4.68 Prover 4: Constructing countermodel ... % 28.40/4.68 Prover 4: stopped % 28.40/4.68 % 28.40/4.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 28.40/4.68 % 28.40/4.68 % SZS output start Proof for theBenchmark % 28.40/4.70 Assumptions after simplification: % 28.40/4.70 --------------------------------- % 28.40/4.70 % 28.40/4.70 (conj_thm_2Ebool_2ETRUTH) % 28.40/4.70 $false % 28.40/4.70 % 28.40/4.70 Further assumptions not needed in the proof: % 28.40/4.70 -------------------------------------------- % 28.40/4.70 ap_tp, arr_ne, ax_all_p, ax_and_p, ax_eq_p, ax_ex_p, ax_false_p, ax_imp_p, % 28.40/4.70 ax_neg_p, ax_or_p, ax_thm_2Ebool_2EAND__DEF, ax_thm_2Ebool_2EBOOL__CASES__AX, % 28.40/4.70 ax_thm_2Ebool_2EBOUNDED__DEF, ax_thm_2Ebool_2ECOND__DEF, % 28.40/4.70 ax_thm_2Ebool_2EDATATYPE__TAG__DEF, ax_thm_2Ebool_2EETA__AX, % 28.40/4.70 ax_thm_2Ebool_2EEXISTS__DEF, ax_thm_2Ebool_2EEXISTS__UNIQUE__DEF, % 28.40/4.70 ax_thm_2Ebool_2EFORALL__DEF, ax_thm_2Ebool_2EF__DEF, % 28.40/4.70 ax_thm_2Ebool_2EINFINITY__AX, ax_thm_2Ebool_2EIN__DEF, ax_thm_2Ebool_2ELET__DEF, % 28.40/4.70 ax_thm_2Ebool_2ENOT__DEF, ax_thm_2Ebool_2EONE__ONE__DEF, % 28.40/4.70 ax_thm_2Ebool_2EONTO__DEF, ax_thm_2Ebool_2EOR__DEF, % 28.40/4.70 ax_thm_2Ebool_2ERES__EXISTS__DEF, ax_thm_2Ebool_2ERES__EXISTS__UNIQUE__DEF, % 28.40/4.70 ax_thm_2Ebool_2ERES__FORALL__DEF, ax_thm_2Ebool_2ERES__SELECT__DEF, % 28.40/4.70 ax_thm_2Ebool_2ESELECT__AX, ax_thm_2Ebool_2ETYPE__DEFINITION, % 28.40/4.70 ax_thm_2Ebool_2ET__DEF, ax_thm_2Ebool_2Eliteral__case__DEF, ax_true_p, bool_ne, % 28.40/4.70 boolext, funcext, ibeta, ind_ne, kbeta, lameq_f1, lameq_f10, lameq_f11, % 28.40/4.70 lameq_f12, lameq_f13, lameq_f14, lameq_f15, lameq_f16, lameq_f17, lameq_f18, % 28.40/4.71 lameq_f19, lameq_f2, lameq_f20, lameq_f21, lameq_f22, lameq_f23, lameq_f24, % 28.40/4.71 lameq_f25, lameq_f26, lameq_f27, lameq_f28, lameq_f29, lameq_f3, lameq_f30, % 28.40/4.71 lameq_f31, lameq_f32, lameq_f33, lameq_f34, lameq_f35, lameq_f36, lameq_f37, % 28.40/4.71 lameq_f38, lameq_f39, lameq_f4, lameq_f40, lameq_f41, lameq_f42, lameq_f43, % 28.40/4.71 lameq_f44, lameq_f45, lameq_f46, lameq_f5, lameq_f6, lameq_f7, lameq_f8, % 28.40/4.71 lameq_f9, mem_c_2Ebool_2EARB, mem_c_2Ebool_2EBOUNDED, mem_c_2Ebool_2ECOND, % 28.40/4.71 mem_c_2Ebool_2EDATATYPE, mem_c_2Ebool_2EF, mem_c_2Ebool_2EIN, % 28.40/4.71 mem_c_2Ebool_2ELET, mem_c_2Ebool_2EONE__ONE, mem_c_2Ebool_2EONTO, % 28.40/4.71 mem_c_2Ebool_2ERES__ABSTRACT, mem_c_2Ebool_2ERES__EXISTS, % 28.40/4.71 mem_c_2Ebool_2ERES__EXISTS__UNIQUE, mem_c_2Ebool_2ERES__FORALL, % 28.40/4.71 mem_c_2Ebool_2ERES__SELECT, mem_c_2Ebool_2ET, mem_c_2Ebool_2ETYPE__DEFINITION, % 28.40/4.71 mem_c_2Ebool_2E_21, mem_c_2Ebool_2E_2F_5C, mem_c_2Ebool_2E_3F, % 28.40/4.71 mem_c_2Ebool_2E_3F_21, mem_c_2Ebool_2E_5C_2F, mem_c_2Ebool_2E_7E, % 28.40/4.71 mem_c_2Ebool_2Eitself__case, mem_c_2Ebool_2Eliteral__case, % 28.40/4.71 mem_c_2Ebool_2Ethe__value, mem_c_2Emin_2E_3D, mem_c_2Emin_2E_3D_3D_3E, % 28.40/4.71 mem_c_2Emin_2E_40, ne_ty_2Ebool_2Eitself % 28.40/4.71 % 28.40/4.71 Those formulas are unsatisfiable: % 28.40/4.71 --------------------------------- % 28.40/4.71 % 28.40/4.71 Begin of proof % 28.40/4.71 | % 28.40/4.71 | CLOSE: (conj_thm_2Ebool_2ETRUTH) is inconsistent. % 28.40/4.71 | % 28.40/4.71 End of proof % 28.40/4.71 % SZS output end Proof for theBenchmark % 28.40/4.71 % 28.40/4.71 4112ms %------------------------------------------------------------------------------