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Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ARI709_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n003.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 17:48:54 EDT 2023

% Result   : Theorem 2.40s 1.05s
% Output   : Proof 2.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ARI709_1 : TPTP v8.1.2. Released v6.3.0.
% 0.04/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 18:03:56 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.21/0.62  ________       _____
% 0.21/0.62  ___  __ \_________(_)________________________________
% 0.21/0.62  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.21/0.62  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.21/0.62  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62  
% 0.21/0.62  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62  (2023-06-19)
% 0.21/0.62  
% 0.21/0.62  (c) Philipp Rümmer, 2009-2023
% 0.21/0.62  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62                Amanda Stjerna.
% 0.21/0.62  Free software under BSD-3-Clause.
% 0.21/0.62  
% 0.21/0.62  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62  
% 0.21/0.62  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.63  Running up to 7 provers in parallel.
% 0.21/0.65  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.03/0.99  Prover 0: Preprocessing ...
% 2.03/0.99  Prover 4: Preprocessing ...
% 2.03/0.99  Prover 5: Preprocessing ...
% 2.03/0.99  Prover 2: Preprocessing ...
% 2.03/0.99  Prover 6: Preprocessing ...
% 2.03/0.99  Prover 1: Preprocessing ...
% 2.03/1.00  Prover 3: Preprocessing ...
% 2.03/1.02  Prover 0: Constructing countermodel ...
% 2.03/1.02  Prover 6: Constructing countermodel ...
% 2.03/1.02  Prover 5: Constructing countermodel ...
% 2.03/1.02  Prover 1: Constructing countermodel ...
% 2.03/1.02  Prover 4: Constructing countermodel ...
% 2.03/1.02  Prover 3: Constructing countermodel ...
% 2.03/1.02  Prover 2: Constructing countermodel ...
% 2.40/1.05  Prover 3: proved (413ms)
% 2.40/1.05  Prover 5: proved (411ms)
% 2.40/1.05  Prover 6: proved (410ms)
% 2.40/1.05  
% 2.40/1.05  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.40/1.05  
% 2.40/1.05  
% 2.40/1.06  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.40/1.06  
% 2.40/1.06  Prover 2: proved (414ms)
% 2.40/1.06  
% 2.40/1.06  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.40/1.06  
% 2.40/1.06  
% 2.40/1.06  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.40/1.06  
% 2.40/1.06  Prover 0: proved (414ms)
% 2.40/1.06  
% 2.40/1.06  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.40/1.06  
% 2.40/1.06  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 2.40/1.06  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 2.40/1.06  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 2.40/1.06  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 2.55/1.06  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 2.55/1.07  Prover 7: Preprocessing ...
% 2.55/1.07  Prover 10: Preprocessing ...
% 2.55/1.08  Prover 11: Preprocessing ...
% 2.55/1.08  Prover 10: Constructing countermodel ...
% 2.55/1.08  Prover 8: Preprocessing ...
% 2.55/1.08  Prover 7: Constructing countermodel ...
% 2.55/1.08  Prover 11: Constructing countermodel ...
% 2.55/1.08  Prover 4: Found proof (size 2)
% 2.55/1.08  Prover 1: Found proof (size 2)
% 2.55/1.08  Prover 4: proved (444ms)
% 2.55/1.08  Prover 1: proved (447ms)
% 2.55/1.08  Prover 10: stopped
% 2.55/1.08  Prover 11: stopped
% 2.55/1.09  Prover 7: stopped
% 2.55/1.09  Prover 13: Preprocessing ...
% 2.55/1.10  Prover 8: Constructing countermodel ...
% 2.55/1.10  Prover 8: stopped
% 2.55/1.10  Prover 13: Constructing countermodel ...
% 2.55/1.10  Prover 13: stopped
% 2.55/1.10  
% 2.55/1.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/1.10  
% 2.55/1.10  % SZS output start Proof for theBenchmark
% 2.55/1.11  Assumptions after simplification:
% 2.55/1.11  ---------------------------------
% 2.55/1.11  
% 2.55/1.11    (conj)
% 2.55/1.11     ~ (a = 3)
% 2.55/1.11  
% 2.55/1.11    (eq)
% 2.55/1.11    a = 3
% 2.55/1.11  
% 2.55/1.11  Those formulas are unsatisfiable:
% 2.55/1.11  ---------------------------------
% 2.55/1.11  
% 2.55/1.11  Begin of proof
% 2.55/1.11  | 
% 2.55/1.11  | REDUCE: (conj), (eq) imply:
% 2.55/1.11  |   (1)  $false
% 2.55/1.11  | 
% 2.55/1.11  | CLOSE: (1) is inconsistent.
% 2.55/1.11  | 
% 2.55/1.11  End of proof
% 2.55/1.11  % SZS output end Proof for theBenchmark
% 2.55/1.11  
% 2.55/1.11  496ms
%------------------------------------------------------------------------------