TSTP Solution File: SYN000_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYN000_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n013.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 : Fri Sep 1 03:26:08 EDT 2023
% Result : Theorem 5.23s 1.56s
% Output : Proof 7.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN000_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n013.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 : Sat Aug 26 21:42:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.64 ________ _____
% 0.20/0.64 ___ __ \_________(_)________________________________
% 0.20/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.64
% 0.20/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.64 (2023-06-19)
% 0.20/0.64
% 0.20/0.64 (c) Philipp Rümmer, 2009-2023
% 0.20/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.64 Amanda Stjerna.
% 0.20/0.64 Free software under BSD-3-Clause.
% 0.20/0.64
% 0.20/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.64
% 0.20/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.65 Running up to 7 provers in parallel.
% 0.20/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.42/1.09 Prover 4: Preprocessing ...
% 2.42/1.12 Prover 1: Preprocessing ...
% 2.42/1.15 Prover 0: Preprocessing ...
% 2.42/1.15 Prover 2: Preprocessing ...
% 2.42/1.15 Prover 5: Preprocessing ...
% 2.42/1.15 Prover 3: Preprocessing ...
% 2.42/1.15 Prover 6: Preprocessing ...
% 3.61/1.38 Prover 1: Warning: ignoring some quantifiers
% 3.61/1.39 Prover 3: Warning: ignoring some quantifiers
% 4.27/1.41 Prover 3: Constructing countermodel ...
% 4.27/1.42 Prover 1: Constructing countermodel ...
% 4.27/1.43 Prover 6: Proving ...
% 4.27/1.44 Prover 2: Proving ...
% 4.27/1.44 Prover 5: Proving ...
% 5.23/1.51 Prover 4: Constructing countermodel ...
% 5.23/1.53 Prover 0: Proving ...
% 5.23/1.56 Prover 3: proved (888ms)
% 5.23/1.56
% 5.23/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.23/1.56
% 5.23/1.56 Prover 5: stopped
% 5.23/1.56 Prover 6: stopped
% 5.23/1.56 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.23/1.56 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.23/1.56 Prover 2: proved (902ms)
% 5.23/1.56
% 5.23/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.23/1.56
% 5.23/1.56 Prover 0: stopped
% 5.91/1.57 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.91/1.57 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.91/1.57 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.13/1.60 Prover 11: Preprocessing ...
% 6.13/1.60 Prover 8: Preprocessing ...
% 6.13/1.61 Prover 7: Preprocessing ...
% 6.13/1.62 Prover 13: Preprocessing ...
% 6.13/1.63 Prover 10: Preprocessing ...
% 6.34/1.69 Prover 7: Warning: ignoring some quantifiers
% 6.34/1.69 Prover 10: Warning: ignoring some quantifiers
% 6.34/1.70 Prover 10: Constructing countermodel ...
% 6.34/1.71 Prover 7: Constructing countermodel ...
% 6.34/1.72 Prover 8: Warning: ignoring some quantifiers
% 6.34/1.73 Prover 8: Constructing countermodel ...
% 7.09/1.74 Prover 1: Found proof (size 3)
% 7.09/1.74 Prover 1: proved (1081ms)
% 7.09/1.74 Prover 7: stopped
% 7.09/1.74 Prover 4: stopped
% 7.09/1.74 Prover 8: stopped
% 7.09/1.74 Prover 10: stopped
% 7.09/1.74 Prover 13: Warning: ignoring some quantifiers
% 7.09/1.75 Prover 13: Constructing countermodel ...
% 7.09/1.76 Prover 13: stopped
% 7.09/1.78 Prover 11: Constructing countermodel ...
% 7.09/1.79 Prover 11: stopped
% 7.09/1.79
% 7.09/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.09/1.79
% 7.09/1.79 % SZS output start Proof for theBenchmark
% 7.09/1.79 Assumptions after simplification:
% 7.09/1.79 ---------------------------------
% 7.09/1.79
% 7.09/1.79 (role_conjecture)
% 7.48/1.82 ! [v0: $i] : ( ~ (p(v0) = 0) | ~ $i(v0))
% 7.48/1.82
% 7.48/1.82 (role_hypothesis)
% 7.48/1.82 p(h) = 0 & $i(h)
% 7.48/1.82
% 7.48/1.82 Further assumptions not needed in the proof:
% 7.48/1.82 --------------------------------------------
% 7.48/1.82 123, equality, first_order, ia1, ia2, ia3, new_axiom, propositional,
% 7.48/1.82 single_quoted, true_false, useful_connectives
% 7.48/1.82
% 7.48/1.82 Those formulas are unsatisfiable:
% 7.48/1.82 ---------------------------------
% 7.48/1.82
% 7.48/1.82 Begin of proof
% 7.48/1.82 |
% 7.48/1.82 | ALPHA: (role_hypothesis) implies:
% 7.48/1.82 | (1) $i(h)
% 7.48/1.82 | (2) p(h) = 0
% 7.48/1.82 |
% 7.48/1.82 | GROUND_INST: instantiating (role_conjecture) with h, simplifying with (1), (2)
% 7.48/1.82 | gives:
% 7.48/1.82 | (3) $false
% 7.48/1.83 |
% 7.48/1.83 | CLOSE: (3) is inconsistent.
% 7.48/1.83 |
% 7.48/1.83 End of proof
% 7.48/1.83 % SZS output end Proof for theBenchmark
% 7.48/1.83
% 7.48/1.83 1184ms
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