TSTP Solution File: ITP010_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ITP010_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 : n006.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 04:08:35 EDT 2023
% Result : Theorem 8.35s 2.08s
% Output : Proof 12.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP010_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n006.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 : Sun Aug 27 11:00:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.62 ________ _____
% 0.19/0.62 ___ __ \_________(_)________________________________
% 0.19/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.62
% 0.19/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.62 (2023-06-19)
% 0.19/0.62
% 0.19/0.62 (c) Philipp Rümmer, 2009-2023
% 0.19/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.62 Amanda Stjerna.
% 0.19/0.62 Free software under BSD-3-Clause.
% 0.19/0.62
% 0.19/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.62
% 0.19/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.64 Running up to 7 provers in parallel.
% 0.19/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.44/1.28 Prover 4: Preprocessing ...
% 3.44/1.28 Prover 1: Preprocessing ...
% 3.79/1.33 Prover 0: Preprocessing ...
% 3.79/1.33 Prover 2: Preprocessing ...
% 3.79/1.33 Prover 3: Preprocessing ...
% 3.79/1.33 Prover 6: Preprocessing ...
% 3.79/1.35 Prover 5: Preprocessing ...
% 8.35/2.04 Prover 2: Constructing countermodel ...
% 8.35/2.04 Prover 5: Constructing countermodel ...
% 8.35/2.08 Prover 5: proved (1431ms)
% 8.35/2.08
% 8.35/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.35/2.08
% 8.35/2.08 Prover 2: proved (1431ms)
% 8.35/2.08
% 8.35/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.35/2.08
% 8.35/2.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.35/2.09 Prover 3: Constructing countermodel ...
% 8.35/2.09 Prover 3: stopped
% 9.11/2.10 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.11/2.10 Prover 6: Constructing countermodel ...
% 9.11/2.10 Prover 6: stopped
% 9.11/2.10 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.11/2.11 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.00/2.19 Prover 8: Preprocessing ...
% 10.34/2.21 Prover 7: Preprocessing ...
% 10.34/2.22 Prover 10: Preprocessing ...
% 10.34/2.23 Prover 11: Preprocessing ...
% 10.64/2.27 Prover 0: Constructing countermodel ...
% 10.64/2.27 Prover 0: stopped
% 10.64/2.29 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 11.29/2.34 Prover 1: Warning: ignoring some quantifiers
% 11.29/2.37 Prover 1: Constructing countermodel ...
% 11.29/2.37 Prover 1: Found proof (size 1)
% 11.29/2.37 Prover 1: proved (1726ms)
% 11.29/2.37 Prover 11: stopped
% 11.29/2.37 Prover 13: Preprocessing ...
% 11.29/2.39 Prover 10: stopped
% 11.29/2.39 Prover 4: Warning: ignoring some quantifiers
% 11.73/2.42 Prover 4: Constructing countermodel ...
% 11.73/2.42 Prover 4: stopped
% 12.21/2.48 Prover 13: stopped
% 12.21/2.50 Prover 8: Warning: ignoring some quantifiers
% 12.21/2.50 Prover 7: Warning: ignoring some quantifiers
% 12.47/2.52 Prover 8: Constructing countermodel ...
% 12.47/2.52 Prover 8: stopped
% 12.47/2.54 Prover 7: Constructing countermodel ...
% 12.47/2.54 Prover 7: stopped
% 12.47/2.54
% 12.47/2.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.47/2.54
% 12.68/2.54 % SZS output start Proof for theBenchmark
% 12.68/2.54 Assumptions after simplification:
% 12.68/2.54 ---------------------------------
% 12.68/2.54
% 12.68/2.55 (thm_2Ecardinal_2ECARD__NOT__LE)
% 12.68/2.55 $false
% 12.68/2.55
% 12.68/2.55 Further assumptions not needed in the proof:
% 12.68/2.55 --------------------------------------------
% 12.68/2.55 arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,
% 12.68/2.55 arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a, arityeq1_2Ec_2Ebool_2E_7E_2E1,
% 12.68/2.55 arityeq2_2Ec_2Ebool_2E_2F_5C_2E2, arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,
% 12.68/2.55 arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b,
% 12.68/2.55 arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a,
% 12.68/2.55 arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a, arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,
% 12.68/2.55 ij_2Emono_2Etyop_2Emin_2Ebool,
% 12.68/2.55 ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,
% 12.68/2.55 ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,
% 12.68/2.55 ji_2Emono_2Etyop_2Emin_2Ebool,
% 12.68/2.55 ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,
% 12.68/2.55 ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,
% 12.68/2.55 monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,
% 12.68/2.55 monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,
% 12.68/2.55 reserved_2Eho_2Ebool__cases__ax, reserved_2Eho_2Eboolext,
% 12.68/2.55 reserved_2Eho_2Eeq__ext, reserved_2Eho_2Ei__thm, reserved_2Eho_2Ek__thm,
% 12.68/2.55 reserved_2Eho_2Enotfalse, reserved_2Eho_2Es__thm, reserved_2Eho_2Etruth,
% 12.68/2.55 reserved_2Elogic_2E_2F_5C, reserved_2Elogic_2E_3D, reserved_2Elogic_2E_3D_3D_3E,
% 12.68/2.55 reserved_2Elogic_2E_5C_2F, reserved_2Elogic_2E_7E, reserved_2Equant_2E_21,
% 12.68/2.55 reserved_2Equant_2E_3F, thm_2Ebool_2EEQ__CLAUSES, thm_2Ebool_2EFALSITY,
% 12.68/2.55 thm_2Ebool_2EFORALL__SIMP, thm_2Ebool_2EIMP__CLAUSES, thm_2Ebool_2ENOT__CLAUSES,
% 12.68/2.55 thm_2Ebool_2EREFL__CLAUSE, thm_2Ebool_2ETRUTH, thm_2Ecardinal_2ECARD__LE__TOTAL,
% 12.68/2.55 thm_2Esat_2EAND__INV2, thm_2Esat_2EAND__INV__IMP, thm_2Esat_2ENOT__NOT,
% 12.68/2.55 thm_2Esat_2EOR__DUAL2, thm_2Esat_2EOR__DUAL3, thm_2Esat_2Edc__eq,
% 12.68/2.55 thm_2Esat_2Edc__neg
% 12.68/2.55
% 12.68/2.55 Those formulas are unsatisfiable:
% 12.68/2.55 ---------------------------------
% 12.68/2.55
% 12.68/2.55 Begin of proof
% 12.68/2.55 |
% 12.68/2.55 | CLOSE: (thm_2Ecardinal_2ECARD__NOT__LE) is inconsistent.
% 12.68/2.55 |
% 12.68/2.55 End of proof
% 12.68/2.55 % SZS output end Proof for theBenchmark
% 12.68/2.55
% 12.68/2.55 1927ms
%------------------------------------------------------------------------------