TSTP Solution File: GEO229+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : GEO229+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n014.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 23:22:35 EDT 2023

% Result   : Theorem 5.74s 1.48s
% Output   : Proof 8.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO229+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 23:38:44 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.63  ________       _____
% 0.21/0.63  ___  __ \_________(_)________________________________
% 0.21/0.63  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.21/0.63  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.21/0.63  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63  
% 0.21/0.63  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63  (2023-06-19)
% 0.21/0.63  
% 0.21/0.63  (c) Philipp Rümmer, 2009-2023
% 0.21/0.63  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63                Amanda Stjerna.
% 0.21/0.63  Free software under BSD-3-Clause.
% 0.21/0.63  
% 0.21/0.63  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63  
% 0.21/0.63  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.64  Running up to 7 provers in parallel.
% 0.21/0.66  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.21/0.66  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 2.84/1.14  Prover 4: Preprocessing ...
% 2.84/1.14  Prover 1: Preprocessing ...
% 3.55/1.17  Prover 5: Preprocessing ...
% 3.55/1.17  Prover 6: Preprocessing ...
% 3.55/1.17  Prover 3: Preprocessing ...
% 3.55/1.17  Prover 0: Preprocessing ...
% 3.55/1.17  Prover 2: Preprocessing ...
% 5.15/1.43  Prover 5: Constructing countermodel ...
% 5.15/1.45  Prover 2: Constructing countermodel ...
% 5.74/1.48  Prover 2: proved (830ms)
% 5.74/1.48  
% 5.74/1.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.74/1.48  
% 5.74/1.49  Prover 5: proved (827ms)
% 5.74/1.49  
% 5.74/1.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.74/1.49  
% 5.74/1.49  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.74/1.50  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.74/1.51  Prover 0: stopped
% 5.74/1.52  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.46/1.59  Prover 3: Constructing countermodel ...
% 6.60/1.60  Prover 3: stopped
% 6.60/1.61  Prover 8: Preprocessing ...
% 6.60/1.61  Prover 10: Preprocessing ...
% 6.60/1.61  Prover 7: Preprocessing ...
% 6.60/1.61  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.60/1.62  Prover 6: Constructing countermodel ...
% 6.60/1.62  Prover 6: stopped
% 6.83/1.63  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 7.32/1.72  Prover 11: Preprocessing ...
% 7.32/1.74  Prover 13: Preprocessing ...
% 7.32/1.74  Prover 1: Constructing countermodel ...
% 7.32/1.75  Prover 1: Found proof (size 1)
% 7.32/1.75  Prover 1: proved (1100ms)
% 7.87/1.77  Prover 10: Warning: ignoring some quantifiers
% 7.87/1.80  Prover 13: stopped
% 7.87/1.80  Prover 7: Warning: ignoring some quantifiers
% 7.87/1.81  Prover 10: Constructing countermodel ...
% 7.87/1.81  Prover 10: stopped
% 7.87/1.81  Prover 7: Constructing countermodel ...
% 7.87/1.81  Prover 7: stopped
% 8.58/1.87  Prover 11: stopped
% 8.58/1.88  Prover 8: Warning: ignoring some quantifiers
% 8.58/1.89  Prover 8: Constructing countermodel ...
% 8.58/1.89  Prover 8: stopped
% 8.88/1.97  Prover 4: Constructing countermodel ...
% 8.88/1.97  Prover 4: stopped
% 8.88/1.97  
% 8.88/1.97  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.88/1.97  
% 8.88/1.98  % SZS output start Proof for theBenchmark
% 8.88/1.98  Assumptions after simplification:
% 8.88/1.98  ---------------------------------
% 8.88/1.98  
% 8.88/1.98    (con)
% 8.88/1.98    $false
% 8.88/1.98  
% 8.88/1.98  Further assumptions not needed in the proof:
% 8.88/1.98  --------------------------------------------
% 8.88/1.98  apt_def, bet_def, bf_def, con_def, div_def, oag1, oag10, oag11, oag2, oag3,
% 8.88/1.99  oag4, oag5, oag6, oag7, oag8, oag9, oagco1, oagco10, oagco2, oagco3, oagco4,
% 8.88/1.99  oagco5, oagco6, oagco7, oagco8, oagco9, oagsub1, oagsub2, oagsub3, oaguc1,
% 8.88/1.99  oaguc2
% 8.88/1.99  
% 8.88/1.99  Those formulas are unsatisfiable:
% 8.88/1.99  ---------------------------------
% 8.88/1.99  
% 8.88/1.99  Begin of proof
% 8.88/1.99  | 
% 8.88/1.99  | CLOSE: (con) is inconsistent.
% 8.88/1.99  | 
% 8.88/1.99  End of proof
% 8.88/1.99  % SZS output end Proof for theBenchmark
% 8.88/1.99  
% 8.88/1.99  1355ms
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