TSTP Solution File: NUM892_1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : NUM892_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 : n031.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 : Thu Aug 31 11:50:36 EDT 2023

% Result   : Theorem 2.34s 1.04s
% Output   : Proof 2.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : NUM892_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34  % Computer : n031.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 : Fri Aug 25 14:41:37 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/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.63  Running up to 7 provers in parallel.
% 0.21/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.88/0.95  Prover 4: Preprocessing ...
% 1.88/0.95  Prover 1: Preprocessing ...
% 2.34/0.99  Prover 6: Preprocessing ...
% 2.34/0.99  Prover 3: Preprocessing ...
% 2.34/0.99  Prover 2: Preprocessing ...
% 2.34/0.99  Prover 5: Preprocessing ...
% 2.34/0.99  Prover 0: Preprocessing ...
% 2.34/1.01  Prover 1: Constructing countermodel ...
% 2.34/1.01  Prover 4: Constructing countermodel ...
% 2.34/1.01  Prover 6: Constructing countermodel ...
% 2.34/1.01  Prover 5: Constructing countermodel ...
% 2.34/1.01  Prover 2: Constructing countermodel ...
% 2.34/1.02  Prover 3: Constructing countermodel ...
% 2.34/1.02  Prover 0: Constructing countermodel ...
% 2.34/1.04  Prover 6: proved (398ms)
% 2.34/1.04  Prover 2: proved (403ms)
% 2.34/1.04  Prover 5: proved (400ms)
% 2.34/1.04  
% 2.34/1.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.34/1.04  
% 2.34/1.04  
% 2.34/1.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.34/1.04  
% 2.34/1.04  
% 2.34/1.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.34/1.04  
% 2.34/1.05  Prover 0: proved (403ms)
% 2.34/1.05  Prover 3: proved (402ms)
% 2.34/1.05  
% 2.34/1.05  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.34/1.05  
% 2.34/1.05  
% 2.34/1.05  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.34/1.05  
% 2.34/1.05  Prover 4: Found proof (size 1)
% 2.34/1.05  Prover 1: Found proof (size 1)
% 2.34/1.05  Prover 4: proved (403ms)
% 2.34/1.05  Prover 1: proved (405ms)
% 2.34/1.05  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 2.34/1.05  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 2.34/1.05  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 2.34/1.05  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 2.34/1.05  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 2.34/1.06  Prover 7: Preprocessing ...
% 2.34/1.06  Prover 10: Preprocessing ...
% 2.34/1.06  Prover 13: Preprocessing ...
% 2.34/1.06  Prover 8: Preprocessing ...
% 2.34/1.07  Prover 10: Constructing countermodel ...
% 2.34/1.07  Prover 11: Preprocessing ...
% 2.34/1.07  Prover 10: stopped
% 2.34/1.07  Prover 7: Constructing countermodel ...
% 2.34/1.07  Prover 13: Constructing countermodel ...
% 2.34/1.07  Prover 7: stopped
% 2.34/1.07  Prover 13: stopped
% 2.84/1.08  Prover 8: Constructing countermodel ...
% 2.84/1.08  Prover 8: stopped
% 2.84/1.08  Prover 11: Constructing countermodel ...
% 2.84/1.08  Prover 11: stopped
% 2.84/1.08  
% 2.84/1.08  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.84/1.08  
% 2.84/1.08  % SZS output start Proof for theBenchmark
% 2.84/1.08  Assumptions after simplification:
% 2.84/1.08  ---------------------------------
% 2.84/1.08  
% 2.84/1.08    (less_lesseq)
% 2.84/1.09    $false
% 2.84/1.09  
% 2.84/1.09  Those formulas are unsatisfiable:
% 2.84/1.09  ---------------------------------
% 2.84/1.09  
% 2.84/1.09  Begin of proof
% 2.84/1.09  | 
% 2.84/1.09  | CLOSE: (less_lesseq) is inconsistent.
% 2.84/1.09  | 
% 2.84/1.09  End of proof
% 2.84/1.09  % SZS output end Proof for theBenchmark
% 2.84/1.09  
% 2.84/1.09  469ms
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