TSTP Solution File: ITP001_2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ITP001_2 : 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 04:08:15 EDT 2023
% Result : Theorem 3.47s 1.21s
% Output : Proof 5.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP001_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 13:55:53 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.08/1.05 Prover 4: Preprocessing ...
% 2.08/1.05 Prover 1: Preprocessing ...
% 2.81/1.07 Prover 6: Preprocessing ...
% 2.81/1.07 Prover 5: Preprocessing ...
% 2.81/1.08 Prover 0: Preprocessing ...
% 2.81/1.08 Prover 2: Preprocessing ...
% 2.81/1.08 Prover 3: Preprocessing ...
% 3.47/1.17 Prover 3: Constructing countermodel ...
% 3.47/1.19 Prover 5: Constructing countermodel ...
% 3.47/1.20 Prover 6: Constructing countermodel ...
% 3.47/1.20 Prover 6: proved (568ms)
% 3.47/1.20 Prover 3: proved (572ms)
% 3.47/1.21
% 3.47/1.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/1.21
% 3.47/1.21
% 3.47/1.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/1.21
% 3.47/1.21 Prover 5: stopped
% 3.47/1.21 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.47/1.21 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.47/1.21 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.47/1.24 Prover 2: Constructing countermodel ...
% 3.47/1.24 Prover 2: stopped
% 4.16/1.25 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 4.16/1.26 Prover 0: Constructing countermodel ...
% 4.16/1.27 Prover 0: stopped
% 4.16/1.27 Prover 7: Preprocessing ...
% 4.16/1.27 Prover 8: Preprocessing ...
% 4.16/1.28 Prover 10: Preprocessing ...
% 4.16/1.29 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 4.16/1.29 Prover 11: Preprocessing ...
% 4.52/1.34 Prover 13: Preprocessing ...
% 5.26/1.41 Prover 1: Constructing countermodel ...
% 5.26/1.42 Prover 1: Found proof (size 1)
% 5.26/1.42 Prover 1: proved (789ms)
% 5.26/1.43 Prover 4: Constructing countermodel ...
% 5.26/1.43 Prover 4: stopped
% 5.26/1.44 Prover 7: Constructing countermodel ...
% 5.26/1.44 Prover 7: stopped
% 5.26/1.44 Prover 10: Constructing countermodel ...
% 5.26/1.44 Prover 10: stopped
% 5.60/1.45 Prover 8: Warning: ignoring some quantifiers
% 5.60/1.45 Prover 8: Constructing countermodel ...
% 5.60/1.45 Prover 8: stopped
% 5.60/1.47 Prover 13: Warning: ignoring some quantifiers
% 5.60/1.48 Prover 13: Constructing countermodel ...
% 5.60/1.48 Prover 13: stopped
% 5.60/1.49 Prover 11: Constructing countermodel ...
% 5.60/1.49 Prover 11: stopped
% 5.60/1.49
% 5.60/1.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.60/1.49
% 5.60/1.49 % SZS output start Proof for theBenchmark
% 5.60/1.50 Assumptions after simplification:
% 5.60/1.50 ---------------------------------
% 5.60/1.50
% 5.60/1.50 (conj_thm_2Ebool_2ETRUTH)
% 5.60/1.50 $false
% 5.60/1.50
% 5.60/1.50 Further assumptions not needed in the proof:
% 5.60/1.50 --------------------------------------------
% 5.60/1.50 ap_tp, ax_eq_p, ax_thm_2Ebool_2ET__DEF, ax_true_p, boolext, funcext, ibeta,
% 5.60/1.50 kbeta, mem_c_2Ebool_2ET, mem_c_2Emin_2E_3D, stp_eq_fo_c_2Ebool_2ET,
% 5.60/1.50 stp_inj_mem_o, stp_inj_surj_o, stp_iso_mem_o
% 5.60/1.50
% 5.60/1.50 Those formulas are unsatisfiable:
% 5.60/1.50 ---------------------------------
% 5.60/1.50
% 5.60/1.50 Begin of proof
% 5.60/1.50 |
% 5.60/1.50 | CLOSE: (conj_thm_2Ebool_2ETRUTH) is inconsistent.
% 5.60/1.50 |
% 5.60/1.50 End of proof
% 5.60/1.50 % SZS output end Proof for theBenchmark
% 5.60/1.50
% 5.60/1.50 891ms
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