TSTP Solution File: ARI453_1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ARI453_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 : n027.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 17:48:06 EDT 2023

% Result   : Theorem 4.34s 1.30s
% Output   : Proof 7.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ARI453_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 18:20:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.45/0.61  ________       _____
% 0.45/0.61  ___  __ \_________(_)________________________________
% 0.45/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.45/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.45/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.45/0.61  
% 0.45/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.45/0.61  (2023-06-19)
% 0.45/0.61  
% 0.45/0.61  (c) Philipp Rümmer, 2009-2023
% 0.45/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.45/0.61                Amanda Stjerna.
% 0.45/0.61  Free software under BSD-3-Clause.
% 0.45/0.61  
% 0.45/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.45/0.61  
% 0.45/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.45/0.63  Running up to 7 provers in parallel.
% 0.45/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.45/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.45/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.45/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.45/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.45/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.45/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.82/0.91  Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.91  Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.91  Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.91  Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.91  Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.91  Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.91  Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 1.82/0.97  Prover 1: Preprocessing ...
% 1.82/0.97  Prover 4: Preprocessing ...
% 2.41/1.02  Prover 2: Preprocessing ...
% 2.41/1.02  Prover 3: Preprocessing ...
% 2.41/1.02  Prover 0: Preprocessing ...
% 2.41/1.02  Prover 5: Preprocessing ...
% 2.41/1.02  Prover 6: Preprocessing ...
% 3.34/1.26  Prover 6: Constructing countermodel ...
% 4.34/1.30  Prover 2: Constructing countermodel ...
% 4.34/1.30  Prover 6: proved (654ms)
% 4.34/1.30  Prover 2: proved (663ms)
% 4.34/1.30  
% 4.34/1.30  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.34/1.30  
% 4.34/1.31  
% 4.34/1.31  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.34/1.31  
% 4.34/1.31  Prover 0: Constructing countermodel ...
% 4.34/1.31  Prover 0: stopped
% 4.34/1.32  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.34/1.32  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.34/1.32  Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 4.34/1.32  Prover 3: Constructing countermodel ...
% 4.34/1.32  Prover 3: stopped
% 4.34/1.32  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.34/1.32  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 4.34/1.32  Prover 8: Preprocessing ...
% 4.34/1.33  Prover 10: Warning: Problem contains reals, using incomplete axiomatisation
% 4.34/1.33  Prover 11: Warning: Problem contains reals, using incomplete axiomatisation
% 4.34/1.33  Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 4.34/1.34  Prover 5: Constructing countermodel ...
% 4.34/1.34  Prover 5: stopped
% 4.34/1.35  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 4.34/1.35  Prover 11: Preprocessing ...
% 4.34/1.35  Prover 10: Preprocessing ...
% 4.34/1.36  Prover 7: Preprocessing ...
% 4.99/1.36  Prover 13: Warning: Problem contains reals, using incomplete axiomatisation
% 4.99/1.37  Prover 13: Preprocessing ...
% 5.61/1.49  Prover 1: Constructing countermodel ...
% 5.61/1.51  Prover 1: Found proof (size 1)
% 5.61/1.51  Prover 1: proved (871ms)
% 6.20/1.52  Prover 4: Constructing countermodel ...
% 6.20/1.52  Prover 4: stopped
% 6.20/1.55  Prover 8: Warning: ignoring some quantifiers
% 6.20/1.55  Prover 8: Constructing countermodel ...
% 6.20/1.55  Prover 8: stopped
% 6.20/1.55  Prover 13: Warning: ignoring some quantifiers
% 6.20/1.56  Prover 13: Constructing countermodel ...
% 6.20/1.56  Prover 13: stopped
% 6.65/1.60  Prover 7: Warning: ignoring some quantifiers
% 6.65/1.60  Prover 7: Constructing countermodel ...
% 6.65/1.60  Prover 7: stopped
% 6.65/1.61  Prover 10: Warning: ignoring some quantifiers
% 6.65/1.61  Prover 10: Constructing countermodel ...
% 6.65/1.61  Prover 10: stopped
% 7.15/1.66  Prover 11: Constructing countermodel ...
% 7.15/1.66  Prover 11: stopped
% 7.15/1.66  
% 7.15/1.66  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.15/1.66  
% 7.15/1.67  % SZS output start Proof for theBenchmark
% 7.15/1.67  Assumptions after simplification:
% 7.15/1.67  ---------------------------------
% 7.15/1.67  
% 7.15/1.67    (real_product_problem_18)
% 7.15/1.67    $false
% 7.15/1.67  
% 7.15/1.67  Those formulas are unsatisfiable:
% 7.15/1.67  ---------------------------------
% 7.15/1.67  
% 7.15/1.67  Begin of proof
% 7.15/1.67  | 
% 7.15/1.67  | CLOSE: (real_product_problem_18) is inconsistent.
% 7.15/1.67  | 
% 7.15/1.67  End of proof
% 7.15/1.67  % SZS output end Proof for theBenchmark
% 7.15/1.67  
% 7.15/1.67  1058ms
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