TSTP Solution File: ARI415_1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ARI415_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 : n019.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 17:47:57 EDT 2023

% Result   : Theorem 4.84s 1.36s
% Output   : Proof 7.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ARI415_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n019.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 : Tue Aug 29 18:25:42 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.62  ________       _____
% 0.20/0.62  ___  __ \_________(_)________________________________
% 0.20/0.62  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.62  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.62  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62  
% 0.20/0.62  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62  (2023-06-19)
% 0.20/0.62  
% 0.20/0.62  (c) Philipp Rümmer, 2009-2023
% 0.20/0.62  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62                Amanda Stjerna.
% 0.20/0.62  Free software under BSD-3-Clause.
% 0.20/0.62  
% 0.20/0.62  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62  
% 0.20/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63  Running up to 7 provers in parallel.
% 0.20/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.88/0.93  Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 1.88/0.93  Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 1.88/0.93  Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 1.88/0.93  Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 1.88/0.93  Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 1.88/0.93  Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 1.88/0.93  Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 2.22/1.00  Prover 1: Preprocessing ...
% 2.22/1.00  Prover 4: Preprocessing ...
% 2.22/1.04  Prover 0: Preprocessing ...
% 2.75/1.06  Prover 6: Preprocessing ...
% 2.75/1.06  Prover 5: Preprocessing ...
% 2.75/1.06  Prover 3: Preprocessing ...
% 2.75/1.06  Prover 2: Preprocessing ...
% 4.05/1.32  Prover 6: Constructing countermodel ...
% 4.05/1.32  Prover 0: Constructing countermodel ...
% 4.84/1.35  Prover 6: proved (710ms)
% 4.84/1.35  Prover 0: proved (714ms)
% 4.84/1.35  
% 4.84/1.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.84/1.36  
% 4.84/1.36  
% 4.84/1.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.84/1.36  
% 4.84/1.36  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.84/1.36  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.84/1.36  Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 4.84/1.37  Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 4.84/1.38  Prover 2: stopped
% 4.84/1.38  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.84/1.38  Prover 8: Preprocessing ...
% 4.84/1.38  Prover 10: Warning: Problem contains reals, using incomplete axiomatisation
% 4.84/1.40  Prover 5: Constructing countermodel ...
% 4.84/1.40  Prover 5: stopped
% 4.84/1.41  Prover 7: Preprocessing ...
% 4.84/1.41  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.39/1.42  Prover 11: Warning: Problem contains reals, using incomplete axiomatisation
% 5.39/1.43  Prover 10: Preprocessing ...
% 5.52/1.45  Prover 3: Constructing countermodel ...
% 5.52/1.45  Prover 3: stopped
% 5.52/1.45  Prover 11: Preprocessing ...
% 5.52/1.45  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.52/1.46  Prover 13: Warning: Problem contains reals, using incomplete axiomatisation
% 5.52/1.46  Prover 13: Preprocessing ...
% 6.11/1.57  Prover 1: Constructing countermodel ...
% 6.57/1.59  Prover 1: Found proof (size 1)
% 6.57/1.59  Prover 1: proved (953ms)
% 6.57/1.59  Prover 8: Warning: ignoring some quantifiers
% 6.57/1.60  Prover 4: Constructing countermodel ...
% 6.57/1.60  Prover 4: stopped
% 6.57/1.61  Prover 8: Constructing countermodel ...
% 6.57/1.61  Prover 8: stopped
% 6.57/1.63  Prover 11: stopped
% 6.57/1.65  Prover 13: Warning: ignoring some quantifiers
% 6.57/1.65  Prover 13: Constructing countermodel ...
% 6.57/1.65  Prover 13: stopped
% 7.58/1.75  Prover 10: Warning: ignoring some quantifiers
% 7.58/1.75  Prover 10: Constructing countermodel ...
% 7.58/1.76  Prover 7: Warning: ignoring some quantifiers
% 7.58/1.76  Prover 10: stopped
% 7.58/1.76  Prover 7: Constructing countermodel ...
% 7.58/1.76  Prover 7: stopped
% 7.58/1.76  
% 7.58/1.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.58/1.76  
% 7.58/1.76  % SZS output start Proof for theBenchmark
% 7.58/1.76  Assumptions after simplification:
% 7.58/1.76  ---------------------------------
% 7.58/1.76  
% 7.58/1.76    (real_sum_problem_15)
% 7.58/1.77    $false
% 7.58/1.77  
% 7.58/1.77  Those formulas are unsatisfiable:
% 7.58/1.77  ---------------------------------
% 7.58/1.77  
% 7.58/1.77  Begin of proof
% 7.58/1.77  | 
% 7.58/1.77  | CLOSE: (real_sum_problem_15) is inconsistent.
% 7.58/1.77  | 
% 7.58/1.77  End of proof
% 7.58/1.77  % SZS output end Proof for theBenchmark
% 7.58/1.77  
% 7.58/1.77  1150ms
%------------------------------------------------------------------------------