TSTP Solution File: CSR043+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR043+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 : n032.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 : Wed Aug 30 21:36:43 EDT 2023
% Result : Theorem 4.79s 1.33s
% Output : Proof 7.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CSR043+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Aug 28 10:50:15 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.52 ________ _____
% 0.15/0.52 ___ __ \_________(_)________________________________
% 0.15/0.52 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.52 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.52 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.52
% 0.15/0.52 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.52 (2023-06-19)
% 0.15/0.52
% 0.15/0.52 (c) Philipp Rümmer, 2009-2023
% 0.15/0.52 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.52 Amanda Stjerna.
% 0.15/0.52 Free software under BSD-3-Clause.
% 0.15/0.52
% 0.15/0.52 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.52
% 0.15/0.52 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.15/0.53 Running up to 7 provers in parallel.
% 0.15/0.55 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.15/0.55 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.15/0.55 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.15/0.55 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.15/0.55 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.15/0.55 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.15/0.55 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.85/1.00 Prover 1: Preprocessing ...
% 2.85/1.00 Prover 4: Preprocessing ...
% 3.04/1.04 Prover 6: Preprocessing ...
% 3.04/1.04 Prover 0: Preprocessing ...
% 3.04/1.04 Prover 3: Preprocessing ...
% 3.04/1.04 Prover 5: Preprocessing ...
% 3.04/1.04 Prover 2: Preprocessing ...
% 4.79/1.30 Prover 5: Constructing countermodel ...
% 4.79/1.31 Prover 2: Constructing countermodel ...
% 4.79/1.33 Prover 2: proved (785ms)
% 4.79/1.33
% 4.79/1.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.79/1.33
% 4.79/1.33 Prover 5: proved (783ms)
% 4.79/1.33
% 4.79/1.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.79/1.33
% 4.79/1.34 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.79/1.35 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.79/1.42 Prover 8: Preprocessing ...
% 4.79/1.42 Prover 7: Preprocessing ...
% 6.12/1.53 Prover 3: Constructing countermodel ...
% 6.12/1.53 Prover 3: stopped
% 6.12/1.54 Prover 6: Constructing countermodel ...
% 6.12/1.54 Prover 6: stopped
% 6.12/1.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.12/1.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.12/1.57 Prover 7: Constructing countermodel ...
% 6.86/1.58 Prover 1: Constructing countermodel ...
% 6.86/1.59 Prover 10: Preprocessing ...
% 7.10/1.61 Prover 11: Preprocessing ...
% 7.23/1.64 Prover 7: Found proof (size 4)
% 7.23/1.64 Prover 7: proved (308ms)
% 7.23/1.64 Prover 1: stopped
% 7.23/1.67 Prover 0: Constructing countermodel ...
% 7.23/1.67 Prover 0: stopped
% 7.23/1.67 Prover 8: Warning: ignoring some quantifiers
% 7.23/1.69 Prover 11: stopped
% 7.23/1.69 Prover 8: Constructing countermodel ...
% 7.23/1.70 Prover 10: Constructing countermodel ...
% 7.23/1.70 Prover 8: stopped
% 7.23/1.71 Prover 10: stopped
% 7.23/1.72 Prover 4: Constructing countermodel ...
% 7.88/1.73 Prover 4: stopped
% 7.88/1.74
% 7.88/1.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.88/1.74
% 7.88/1.74 % SZS output start Proof for theBenchmark
% 7.88/1.75 Assumptions after simplification:
% 7.88/1.75 ---------------------------------
% 7.88/1.75
% 7.88/1.75 (just6)
% 7.88/1.75 $i(c_tptpcol_15_30970) & $i(c_tptpcol_16_30972) & genls(c_tptpcol_16_30972,
% 7.88/1.75 c_tptpcol_15_30970)
% 7.88/1.75
% 7.88/1.75 (query43)
% 7.88/1.75 $i(c_tptp_member2862_mt) & $i(c_tptpcol_15_30970) & $i(c_tptpcol_16_30972) &
% 7.88/1.75 mtvisible(c_tptp_member2862_mt) & ~ genls(c_tptpcol_16_30972,
% 7.88/1.75 c_tptpcol_15_30970)
% 7.88/1.75
% 7.88/1.75 Further assumptions not needed in the proof:
% 7.88/1.75 --------------------------------------------
% 7.88/1.75 just1, just10, just11, just12, just13, just14, just15, just16, just17, just18,
% 7.88/1.75 just19, just2, just20, just21, just22, just23, just24, just25, just26, just27,
% 7.88/1.75 just28, just29, just3, just30, just31, just32, just33, just34, just35, just36,
% 7.88/1.75 just37, just38, just39, just4, just40, just41, just42, just43, just44, just45,
% 7.88/1.75 just46, just47, just48, just49, just5, just50, just51, just52, just53, just54,
% 7.88/1.75 just55, just56, just57, just7, just8, just9
% 7.88/1.75
% 7.88/1.75 Those formulas are unsatisfiable:
% 7.88/1.75 ---------------------------------
% 7.88/1.75
% 7.88/1.75 Begin of proof
% 7.88/1.76 |
% 7.88/1.76 | ALPHA: (query43) implies:
% 7.88/1.76 | (1) ~ genls(c_tptpcol_16_30972, c_tptpcol_15_30970)
% 7.88/1.76 |
% 7.88/1.76 | ALPHA: (just6) implies:
% 7.88/1.76 | (2) genls(c_tptpcol_16_30972, c_tptpcol_15_30970)
% 7.88/1.76 |
% 7.88/1.76 | PRED_UNIFY: (1), (2) imply:
% 7.88/1.76 | (3) $false
% 7.88/1.76 |
% 7.88/1.76 | CLOSE: (3) is inconsistent.
% 7.88/1.76 |
% 7.88/1.76 End of proof
% 7.88/1.76 % SZS output end Proof for theBenchmark
% 7.88/1.76
% 7.88/1.76 1240ms
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