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Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : CSR069+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n002.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 21:37:09 EDT 2023

% Result   : Theorem 4.15s 1.33s
% Output   : Proof 6.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR069+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n002.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 : Mon Aug 28 10:58:19 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.60  ________       _____
% 0.19/0.60  ___  __ \_________(_)________________________________
% 0.19/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.60  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60  
% 0.19/0.60  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60  (2023-06-19)
% 0.19/0.60  
% 0.19/0.60  (c) Philipp Rümmer, 2009-2023
% 0.19/0.60  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60                Amanda Stjerna.
% 0.19/0.60  Free software under BSD-3-Clause.
% 0.19/0.60  
% 0.19/0.60  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60  
% 0.19/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.61  Running up to 7 provers in parallel.
% 0.19/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.48/1.03  Prover 4: Preprocessing ...
% 2.48/1.03  Prover 1: Preprocessing ...
% 2.98/1.07  Prover 3: Preprocessing ...
% 2.98/1.07  Prover 5: Preprocessing ...
% 2.98/1.07  Prover 6: Preprocessing ...
% 2.98/1.07  Prover 2: Preprocessing ...
% 2.98/1.07  Prover 0: Preprocessing ...
% 4.15/1.28  Prover 5: Constructing countermodel ...
% 4.15/1.28  Prover 2: Constructing countermodel ...
% 4.15/1.31  Prover 2: proved (690ms)
% 4.15/1.31  
% 4.15/1.33  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.15/1.33  
% 4.15/1.33  Prover 5: proved (688ms)
% 4.15/1.33  
% 4.15/1.33  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.15/1.33  
% 4.15/1.34  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.15/1.34  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.15/1.37  Prover 7: Preprocessing ...
% 4.84/1.41  Prover 8: Preprocessing ...
% 5.50/1.45  Prover 6: Constructing countermodel ...
% 5.59/1.45  Prover 6: stopped
% 5.59/1.46  Prover 3: Constructing countermodel ...
% 5.59/1.46  Prover 3: stopped
% 5.59/1.48  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.59/1.48  Prover 7: Constructing countermodel ...
% 5.59/1.48  Prover 1: Constructing countermodel ...
% 5.59/1.49  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.59/1.51  Prover 10: Preprocessing ...
% 6.03/1.54  Prover 11: Preprocessing ...
% 6.35/1.60  Prover 10: Constructing countermodel ...
% 6.35/1.60  Prover 7: Found proof (size 7)
% 6.35/1.60  Prover 7: proved (270ms)
% 6.35/1.60  Prover 1: stopped
% 6.35/1.60  Prover 0: Proving ...
% 6.35/1.60  Prover 10: stopped
% 6.35/1.60  Prover 4: Constructing countermodel ...
% 6.35/1.61  Prover 0: stopped
% 6.35/1.62  Prover 11: stopped
% 6.35/1.62  Prover 4: stopped
% 6.35/1.63  Prover 8: Warning: ignoring some quantifiers
% 6.93/1.64  Prover 8: Constructing countermodel ...
% 6.93/1.65  Prover 8: stopped
% 6.93/1.65  
% 6.93/1.65  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.93/1.65  
% 6.93/1.65  % SZS output start Proof for theBenchmark
% 6.93/1.66  Assumptions after simplification:
% 6.93/1.66  ---------------------------------
% 6.93/1.66  
% 6.93/1.66    (just1)
% 6.93/1.66    $i(c_georegion_l4_x39_y24) & $i(c_georegion_l4_x38_y24) &
% 6.93/1.66    $i(c_tptpgeo_member1_mt) & ( ~ mtvisible(c_tptpgeo_member1_mt) |
% 6.93/1.66      borderson(c_georegion_l4_x38_y24, c_georegion_l4_x39_y24))
% 6.93/1.66  
% 6.93/1.66    (query69)
% 6.93/1.66    $i(c_georegion_l4_x39_y24) & $i(c_georegion_l4_x38_y24) &
% 6.93/1.66    $i(c_tptpgeo_member1_mt) & mtvisible(c_tptpgeo_member1_mt) &  ~
% 6.93/1.66    borderson(c_georegion_l4_x38_y24, c_georegion_l4_x39_y24)
% 6.93/1.66  
% 6.93/1.66  Further assumptions not needed in the proof:
% 6.93/1.66  --------------------------------------------
% 6.93/1.66  just10, just11, just12, just13, just14, just15, just16, just17, just18, just19,
% 6.93/1.66  just2, just20, just21, just22, just23, just24, just25, just26, just27, just28,
% 6.93/1.66  just29, just3, just4, just5, just6, just7, just8, just9
% 6.93/1.66  
% 6.93/1.66  Those formulas are unsatisfiable:
% 6.93/1.66  ---------------------------------
% 6.93/1.66  
% 6.93/1.66  Begin of proof
% 6.93/1.66  | 
% 6.93/1.67  | ALPHA: (query69) implies:
% 6.93/1.67  |   (1)   ~ borderson(c_georegion_l4_x38_y24, c_georegion_l4_x39_y24)
% 6.93/1.67  |   (2)  mtvisible(c_tptpgeo_member1_mt)
% 6.93/1.67  | 
% 6.93/1.67  | ALPHA: (just1) implies:
% 6.93/1.67  |   (3)   ~ mtvisible(c_tptpgeo_member1_mt) | borderson(c_georegion_l4_x38_y24,
% 6.93/1.67  |          c_georegion_l4_x39_y24)
% 6.93/1.67  | 
% 6.93/1.67  | BETA: splitting (3) gives:
% 6.93/1.67  | 
% 6.93/1.67  | Case 1:
% 6.93/1.67  | | 
% 6.93/1.67  | |   (4)   ~ mtvisible(c_tptpgeo_member1_mt)
% 6.93/1.67  | | 
% 6.93/1.67  | | PRED_UNIFY: (2), (4) imply:
% 6.93/1.67  | |   (5)  $false
% 6.93/1.67  | | 
% 6.93/1.67  | | CLOSE: (5) is inconsistent.
% 6.93/1.67  | | 
% 6.93/1.67  | Case 2:
% 6.93/1.67  | | 
% 6.93/1.67  | |   (6)  borderson(c_georegion_l4_x38_y24, c_georegion_l4_x39_y24)
% 6.93/1.67  | | 
% 6.93/1.67  | | PRED_UNIFY: (1), (6) imply:
% 6.93/1.67  | |   (7)  $false
% 6.93/1.67  | | 
% 6.93/1.67  | | CLOSE: (7) is inconsistent.
% 6.93/1.67  | | 
% 6.93/1.67  | End of split
% 6.93/1.67  | 
% 6.93/1.67  End of proof
% 6.93/1.67  % SZS output end Proof for theBenchmark
% 6.93/1.67  
% 6.93/1.67  1068ms
%------------------------------------------------------------------------------