TSTP Solution File: ARI278_1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ARI278_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 : n008.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 17:47:32 EDT 2023

% Result   : Theorem 8.81s 2.10s
% Output   : Proof 15.03s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI278_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.33  % Computer : n008.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue Aug 29 18:27:47 EDT 2023
% 0.15/0.34  % CPUTime  : 
% 0.19/0.70  ________       _____
% 0.19/0.70  ___  __ \_________(_)________________________________
% 0.19/0.70  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.70  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.70  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.70  
% 0.19/0.70  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.70  (2023-06-19)
% 0.19/0.70  
% 0.19/0.70  (c) Philipp Rümmer, 2009-2023
% 0.19/0.70  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.70                Amanda Stjerna.
% 0.19/0.70  Free software under BSD-3-Clause.
% 0.19/0.70  
% 0.19/0.70  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.70  
% 0.19/0.70  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.72  Running up to 7 provers in parallel.
% 0.19/0.74  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.74  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.74  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.74  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.74  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.74  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.74  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.62/1.06  Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.62/1.06  Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.62/1.06  Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.62/1.06  Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.62/1.06  Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.62/1.06  Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.62/1.06  Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation
% 2.48/1.22  Prover 4: Preprocessing ...
% 2.48/1.23  Prover 1: Preprocessing ...
% 3.11/1.28  Prover 0: Preprocessing ...
% 3.11/1.28  Prover 6: Preprocessing ...
% 3.61/1.57  Prover 5: Preprocessing ...
% 3.61/1.57  Prover 2: Preprocessing ...
% 3.61/1.59  Prover 3: Preprocessing ...
% 8.24/2.04  Prover 6: Constructing countermodel ...
% 8.24/2.05  Prover 0: Constructing countermodel ...
% 8.81/2.09  Prover 1: Constructing countermodel ...
% 8.81/2.10  Prover 6: proved (1342ms)
% 8.81/2.10  Prover 0: proved (1359ms)
% 8.81/2.10  
% 8.81/2.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.81/2.10  
% 9.06/2.11  
% 9.06/2.11  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.06/2.11  
% 9.06/2.13  Prover 1: Found proof (size 1)
% 9.06/2.13  Prover 1: proved (1366ms)
% 9.06/2.13  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.06/2.13  Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation
% 9.06/2.13  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.06/2.13  Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation
% 9.06/2.14  Prover 4: Constructing countermodel ...
% 9.06/2.14  Prover 4: stopped
% 9.06/2.16  Prover 8: Preprocessing ...
% 9.06/2.24  Prover 7: Preprocessing ...
% 9.06/2.29  Prover 2: stopped
% 9.06/2.39  Prover 8: Warning: ignoring some quantifiers
% 9.06/2.40  Prover 8: Constructing countermodel ...
% 9.06/2.40  Prover 8: stopped
% 12.59/2.61  Prover 7: stopped
% 15.03/3.13  Prover 5: Constructing countermodel ...
% 15.03/3.13  Prover 5: stopped
% 15.03/3.18  Prover 3: Constructing countermodel ...
% 15.03/3.18  Prover 3: stopped
% 15.03/3.18  
% 15.03/3.18  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.03/3.18  
% 15.03/3.19  % SZS output start Proof for theBenchmark
% 15.03/3.19  Assumptions after simplification:
% 15.03/3.19  ---------------------------------
% 15.03/3.19  
% 15.03/3.19    (rat_difference_problem_6)
% 15.03/3.19    $false
% 15.03/3.19  
% 15.03/3.19  Those formulas are unsatisfiable:
% 15.03/3.19  ---------------------------------
% 15.03/3.19  
% 15.03/3.19  Begin of proof
% 15.03/3.19  | 
% 15.03/3.20  | CLOSE: (rat_difference_problem_6) is inconsistent.
% 15.03/3.20  | 
% 15.03/3.20  End of proof
% 15.03/3.20  % SZS output end Proof for theBenchmark
% 15.03/3.20  
% 15.03/3.20  2498ms
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