TSTP Solution File: SYN036+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN036+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 : 600s
% DateTime : Thu Jul 21 11:56:37 EDT 2022
% Result : Theorem 61.88s 62.06s
% Output : Refutation 61.88s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( ~ big_p(X)
| ~ big_p('SKOLEMAAAW1'(X))
| ~ big_q(Y)
| ~ big_q('SKOLEMAAAW2')
| ~ big_q(Z)
| ~ big_q('SKOLEMAAAW7'(Z))
| ~ big_p(U)
| ~ big_p('SKOLEMAAAW8') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(2,plain,
( ~ big_p(X)
| ~ big_p('SKOLEMAAAW1'(X))
| ~ big_q('SKOLEMAAAW2')
| ~ big_q(Y)
| ~ big_q('SKOLEMAAAW7'(Y))
| ~ big_p('SKOLEMAAAW8') ),
inference('CONDENSE',[status(thm)],[1]) ).
cnf(19,negated_conjecture,
( ~ big_p(X)
| ~ big_p('SKOLEMAAAW1'(X))
| big_q('SKOLEMAAAW3')
| big_q(Y)
| big_q(Z)
| big_q('SKOLEMAAAW7'(Z))
| ~ big_p(U)
| ~ big_p('SKOLEMAAAW8') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(20,plain,
( ~ big_p(X)
| ~ big_p('SKOLEMAAAW1'(X))
| big_q('SKOLEMAAAW3')
| big_q(Y)
| big_q('SKOLEMAAAW7'(Y))
| ~ big_p('SKOLEMAAAW8') ),
inference('CONDENSE',[status(thm)],[19]) ).
cnf(31,negated_conjecture,
( big_p(X)
| big_p('SKOLEMAAAW1'(X))
| ~ big_q(Y)
| ~ big_q('SKOLEMAAAW2')
| ~ big_q(Z)
| ~ big_q('SKOLEMAAAW7'(Z))
| big_p('SKOLEMAAAW9')
| big_p(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(32,plain,
( big_p(X)
| big_p('SKOLEMAAAW1'(X))
| ~ big_q('SKOLEMAAAW2')
| ~ big_q(Y)
| ~ big_q('SKOLEMAAAW7'(Y))
| big_p('SKOLEMAAAW9') ),
inference('CONDENSE',[status(thm)],[31]) ).
cnf(49,negated_conjecture,
( big_p(X)
| big_p('SKOLEMAAAW1'(X))
| big_q('SKOLEMAAAW3')
| big_q(Y)
| big_q(Z)
| big_q('SKOLEMAAAW7'(Z))
| big_p('SKOLEMAAAW9')
| big_p(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(50,plain,
( big_p(X)
| big_p('SKOLEMAAAW1'(X))
| big_q('SKOLEMAAAW3')
| big_q(Y)
| big_q('SKOLEMAAAW7'(Y))
| big_p('SKOLEMAAAW9') ),
inference('CONDENSE',[status(thm)],[49]) ).
cnf(65,negated_conjecture,
( ~ big_p('SKOLEMAAAW4')
| big_p(X)
| ~ big_q(Y)
| big_q(Z)
| ~ big_q('SKOLEMAAAW10')
| big_q(U)
| ~ big_p(V)
| big_p(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(66,plain,
( ~ big_p('SKOLEMAAAW4')
| ~ big_q('SKOLEMAAAW10')
| big_q(X)
| big_p(Y) ),
inference('CONDENSE',[status(thm)],[65]) ).
cnf(68,negated_conjecture,
( ~ big_p('SKOLEMAAAW4')
| big_p(X)
| ~ big_q(Y)
| big_q(Z)
| big_q('SKOLEMAAAW10')
| ~ big_q(U)
| ~ big_p(V)
| big_p(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(69,plain,
( ~ big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW10')
| ~ big_q(X)
| big_p(Y) ),
inference('CONDENSE',[status(thm)],[68]) ).
cnf(87,negated_conjecture,
( big_p('SKOLEMAAAW4')
| ~ big_p(X)
| ~ big_q(Y)
| big_q(Z)
| ~ big_q('SKOLEMAAAW10')
| big_q(U)
| ~ big_p(V)
| big_p(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(88,plain,
( big_p('SKOLEMAAAW4')
| ~ big_q('SKOLEMAAAW10')
| big_q(X)
| ~ big_p(Y) ),
inference('CONDENSE',[status(thm)],[87]) ).
cnf(90,negated_conjecture,
( big_p('SKOLEMAAAW4')
| ~ big_p(X)
| ~ big_q(Y)
| big_q(Z)
| big_q('SKOLEMAAAW10')
| ~ big_q(U)
| ~ big_p(V)
| big_p(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(91,plain,
( big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW10')
| ~ big_q(X)
| ~ big_p(Y) ),
inference('CONDENSE',[status(thm)],[90]) ).
cnf(107,negated_conjecture,
( ~ big_p(X)
| ~ big_p('SKOLEMAAAW13'(X))
| ~ big_q(Y)
| big_q(Z)
| ~ big_q('SKOLEMAAAW22')
| big_q(U)
| ~ big_p(V)
| ~ big_p('SKOLEMAAAW23') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(108,plain,
( ~ big_p(X)
| ~ big_p('SKOLEMAAAW13'(X))
| ~ big_q('SKOLEMAAAW22')
| big_q(Y)
| ~ big_p('SKOLEMAAAW23') ),
inference('CONDENSE',[status(thm)],[107]) ).
cnf(111,negated_conjecture,
( ~ big_p(X)
| ~ big_p('SKOLEMAAAW13'(X))
| ~ big_q(Y)
| big_q(Z)
| big_q('SKOLEMAAAW22')
| ~ big_q(U)
| ~ big_p(V)
| ~ big_p('SKOLEMAAAW23') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(112,plain,
( ~ big_p(X)
| ~ big_p('SKOLEMAAAW13'(X))
| big_q('SKOLEMAAAW22')
| ~ big_q(Y)
| ~ big_p('SKOLEMAAAW23') ),
inference('CONDENSE',[status(thm)],[111]) ).
cnf(129,negated_conjecture,
( big_p(X)
| big_p('SKOLEMAAAW13'(X))
| ~ big_q(Y)
| big_q(Z)
| ~ big_q('SKOLEMAAAW22')
| big_q(U)
| big_p('SKOLEMAAAW24')
| big_p(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(130,plain,
( big_p(X)
| big_p('SKOLEMAAAW13'(X))
| ~ big_q('SKOLEMAAAW22')
| big_q(Y)
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[129]) ).
cnf(133,negated_conjecture,
( big_p(X)
| big_p('SKOLEMAAAW13'(X))
| ~ big_q(Y)
| big_q(Z)
| big_q('SKOLEMAAAW22')
| ~ big_q(U)
| big_p('SKOLEMAAAW24')
| big_p(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(134,plain,
( big_p(X)
| big_p('SKOLEMAAAW13'(X))
| big_q('SKOLEMAAAW22')
| ~ big_q(Y)
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[133]) ).
cnf(141,negated_conjecture,
( ~ big_p('SKOLEMAAAW16')
| big_p(X)
| ~ big_q(Y)
| ~ big_q('SKOLEMAAAW17')
| ~ big_q(Z)
| ~ big_q('SKOLEMAAAW19'(Z))
| ~ big_p(U)
| big_p(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(142,plain,
( ~ big_p('SKOLEMAAAW16')
| ~ big_q('SKOLEMAAAW17')
| ~ big_q(X)
| ~ big_q('SKOLEMAAAW19'(X))
| big_p(Y) ),
inference('CONDENSE',[status(thm)],[141]) ).
cnf(158,negated_conjecture,
( ~ big_p('SKOLEMAAAW16')
| big_p(X)
| big_q('SKOLEMAAAW18')
| big_q(Y)
| big_q(Z)
| big_q('SKOLEMAAAW19'(Z))
| ~ big_p(U)
| big_p(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(159,plain,
( ~ big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q(X)
| big_q('SKOLEMAAAW19'(X))
| big_p(Y) ),
inference('CONDENSE',[status(thm)],[158]) ).
cnf(163,negated_conjecture,
( ~ big_p('SKOLEMAAAW16')
| big_p(X)
| big_q('SKOLEMAAAW18')
| big_q(Y)
| ~ big_q('SKOLEMAAAW22')
| big_q(Z)
| big_p('SKOLEMAAAW24')
| big_p(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(164,plain,
( ~ big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| ~ big_q('SKOLEMAAAW22')
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[163]) ).
cnf(167,negated_conjecture,
( ~ big_p('SKOLEMAAAW16')
| big_p(X)
| big_q('SKOLEMAAAW18')
| big_q(Y)
| big_q('SKOLEMAAAW22')
| ~ big_q(Z)
| big_p('SKOLEMAAAW24')
| big_p(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(168,plain,
( ~ big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW22')
| ~ big_q(X)
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[167]) ).
cnf(169,negated_conjecture,
( big_p('SKOLEMAAAW16')
| ~ big_p(X)
| ~ big_q(Y)
| ~ big_q('SKOLEMAAAW17')
| ~ big_q(Z)
| ~ big_q('SKOLEMAAAW19'(Z))
| ~ big_p(U)
| big_p(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(170,plain,
( big_p('SKOLEMAAAW16')
| ~ big_q('SKOLEMAAAW17')
| ~ big_q(X)
| ~ big_q('SKOLEMAAAW19'(X))
| ~ big_p(Y) ),
inference('CONDENSE',[status(thm)],[169]) ).
cnf(186,negated_conjecture,
( big_p('SKOLEMAAAW16')
| ~ big_p(X)
| big_q('SKOLEMAAAW18')
| big_q(Y)
| big_q(Z)
| big_q('SKOLEMAAAW19'(Z))
| ~ big_p(U)
| big_p(V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(187,plain,
( big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q(X)
| big_q('SKOLEMAAAW19'(X))
| ~ big_p(Y) ),
inference('CONDENSE',[status(thm)],[186]) ).
cnf(191,negated_conjecture,
( big_p('SKOLEMAAAW16')
| ~ big_p(X)
| big_q('SKOLEMAAAW18')
| big_q(Y)
| ~ big_q('SKOLEMAAAW22')
| big_q(Z)
| big_p('SKOLEMAAAW24')
| big_p(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(192,plain,
( big_p('SKOLEMAAAW16')
| ~ big_p(X)
| big_q('SKOLEMAAAW18')
| ~ big_q('SKOLEMAAAW22')
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[191]) ).
cnf(195,negated_conjecture,
( big_p('SKOLEMAAAW16')
| ~ big_p(X)
| big_q('SKOLEMAAAW18')
| big_q(Y)
| big_q('SKOLEMAAAW22')
| ~ big_q(Z)
| big_p('SKOLEMAAAW24')
| big_p(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).
cnf(196,plain,
( big_p('SKOLEMAAAW16')
| ~ big_p(X)
| big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW22')
| ~ big_q(Y)
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[195]) ).
cnf(199,plain,
( big_p(X)
| big_p('SKOLEMAAAW1'(X))
| big_q('SKOLEMAAAW3')
| big_p('SKOLEMAAAW9')
| big_p(Y)
| big_p('SKOLEMAAAW13'(Y))
| big_q('SKOLEMAAAW22')
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[134,50])]) ).
cnf(241,plain,
( big_p(X)
| big_p('SKOLEMAAAW1'(X))
| big_q('SKOLEMAAAW3')
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_q('SKOLEMAAAW22')
| big_p('SKOLEMAAAW24') ),
inference('FACTOR',[status(thm)],[199]) ).
cnf(289,plain,
( big_p(X)
| big_p('SKOLEMAAAW1'(X))
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_q('SKOLEMAAAW22')
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[134,241])]) ).
cnf(290,plain,
( big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_p('SKOLEMAAAW1'('SKOLEMAAAW13'('SKOLEMAAAW9')))
| big_p('SKOLEMAAAW9')
| big_q('SKOLEMAAAW22')
| big_p('SKOLEMAAAW24') ),
inference('FACTOR',[status(thm)],[289]) ).
cnf(292,plain,
( big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_p('SKOLEMAAAW1'('SKOLEMAAAW13'('SKOLEMAAAW9')))
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_q(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[130,290])]) ).
cnf(293,plain,
( big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_p('SKOLEMAAAW1'('SKOLEMAAAW13'('SKOLEMAAAW9')))
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[32,292,292,292])]) ).
cnf(294,plain,
( big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q(X)
| big_q('SKOLEMAAAW19'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[187,293]) ).
cnf(322,plain,
( big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW22') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[196,294,293])]) ).
cnf(326,plain,
( big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18') ),
inference('HYPERRESOLVE',[status(thm)],[192,322,293]) ).
cnf(328,plain,
( big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW22') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[134,326])]) ).
cnf(331,plain,
( big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[130,328])]) ).
cnf(332,plain,
( big_p('SKOLEMAAAW13'('SKOLEMAAAW9'))
| big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16') ),
inference('HYPERRESOLVE',[status(thm)],[170,331,331,331,293]) ).
cnf(333,plain,
( big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q(X)
| big_q('SKOLEMAAAW19'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[187,332]) ).
cnf(339,plain,
( big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW22') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[196,333,332])]) ).
cnf(343,plain,
( big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18') ),
inference('HYPERRESOLVE',[status(thm)],[192,339,332]) ).
cnf(344,plain,
( big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW10') ),
inference('HYPERRESOLVE',[status(thm)],[91,343,332]) ).
cnf(349,plain,
( big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4')
| big_q(X) ),
inference('HYPERRESOLVE',[status(thm)],[88,344,332]) ).
cnf(350,plain,
( big_p('SKOLEMAAAW9')
| big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4') ),
inference('HYPERRESOLVE',[status(thm)],[170,349,343,349,332]) ).
cnf(351,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW18')
| big_q(X)
| big_q('SKOLEMAAAW19'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[187,350]) ).
cnf(360,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW22') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[196,351,350])]) ).
cnf(363,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW18') ),
inference('HYPERRESOLVE',[status(thm)],[192,360,350]) ).
cnf(364,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW10') ),
inference('HYPERRESOLVE',[status(thm)],[91,363,350]) ).
cnf(367,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4')
| big_q(X) ),
inference('HYPERRESOLVE',[status(thm)],[88,364,350]) ).
cnf(368,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4') ),
inference('HYPERRESOLVE',[status(thm)],[170,367,367,367,350]) ).
cnf(369,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW9')
| big_q('SKOLEMAAAW10') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,368,343])]) ).
cnf(371,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q(X)
| big_q('SKOLEMAAAW19'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[187,368]) ).
cnf(372,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW9')
| big_q(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[66,369,368])]) ).
cnf(373,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW9') ),
inference('HYPERRESOLVE',[status(thm)],[170,372,372,372,368]) ).
cnf(374,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW22') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[196,371,368])]) ).
cnf(377,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18') ),
inference('HYPERRESOLVE',[status(thm)],[192,374,368]) ).
cnf(378,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW10') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,377,368])]) ).
cnf(381,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16')
| big_q(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[66,378,368])]) ).
cnf(382,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW16') ),
inference('HYPERRESOLVE',[status(thm)],[170,381,381,381,373]) ).
cnf(383,plain,
( big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q(X)
| big_q('SKOLEMAAAW19'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[187,382]) ).
cnf(390,plain,
( big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW19'('SKOLEMAAAW18')) ),
inference('FACTOR',[status(thm)],[383]) ).
cnf(391,plain,
( big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW10') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[91,383,382])]) ).
cnf(394,plain,
( big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW10') ),
inference('HYPERRESOLVE',[status(thm)],[91,391,382]) ).
cnf(395,plain,
( big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4')
| big_q(X) ),
inference('HYPERRESOLVE',[status(thm)],[88,394,382]) ).
cnf(396,plain,
( big_p('SKOLEMAAAW16')
| big_p('SKOLEMAAAW4') ),
inference('HYPERRESOLVE',[status(thm)],[170,395,395,395,382]) ).
cnf(397,plain,
( big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW10') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,396,390])]) ).
cnf(399,plain,
( big_p('SKOLEMAAAW16')
| big_q('SKOLEMAAAW10') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,397,396])]) ).
cnf(400,plain,
( big_p('SKOLEMAAAW16')
| big_q(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[66,399,396])]) ).
cnf(401,plain,
big_p('SKOLEMAAAW16'),
inference('HYPERRESOLVE',[status(thm)],[170,400,400,400,382]) ).
cnf(402,plain,
( ~ big_q('SKOLEMAAAW17')
| ~ big_q(X)
| ~ big_q('SKOLEMAAAW19'(X))
| big_p(Y) ),
inference('REWRITE',[status(thm)],[142,401]) ).
cnf(409,plain,
( big_q('SKOLEMAAAW18')
| big_q(X)
| big_q('SKOLEMAAAW19'(X))
| big_p(Y) ),
inference('REWRITE',[status(thm)],[159,401]) ).
cnf(411,plain,
( big_q('SKOLEMAAAW18')
| ~ big_q('SKOLEMAAAW22')
| big_p('SKOLEMAAAW24') ),
inference('REWRITE',[status(thm)],[164,401]) ).
cnf(413,plain,
( big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW22')
| ~ big_q(X)
| big_p('SKOLEMAAAW24') ),
inference('REWRITE',[status(thm)],[168,401]) ).
cnf(419,plain,
( big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW19'('SKOLEMAAAW18'))
| big_p(X) ),
inference('FACTOR',[status(thm)],[409]) ).
cnf(420,plain,
( big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW22')
| big_p('SKOLEMAAAW24') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[413,409])]) ).
cnf(423,plain,
( big_q('SKOLEMAAAW18')
| big_p('SKOLEMAAAW24') ),
inference('HYPERRESOLVE',[status(thm)],[411,420]) ).
cnf(424,plain,
( big_p('SKOLEMAAAW24')
| big_p(X)
| big_p('SKOLEMAAAW13'(X))
| big_q('SKOLEMAAAW22') ),
inference('HYPERRESOLVE',[status(thm)],[134,423]) ).
cnf(432,plain,
( big_p('SKOLEMAAAW24')
| big_p(X)
| big_p('SKOLEMAAAW13'(X))
| big_q(Y) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[130,424])]) ).
cnf(433,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW13'('SKOLEMAAAW24'))
| big_q(X) ),
inference('FACTOR',[status(thm)],[432]) ).
cnf(435,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW13'('SKOLEMAAAW24')) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[402,433,423,433])]) ).
cnf(436,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW10') ),
inference('HYPERRESOLVE',[status(thm)],[91,435,423]) ).
cnf(438,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW4')
| big_q(X) ),
inference('HYPERRESOLVE',[status(thm)],[88,436,435]) ).
cnf(439,plain,
( big_p('SKOLEMAAAW24')
| big_p('SKOLEMAAAW4') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[402,438,423,438])]) ).
cnf(440,plain,
( big_p('SKOLEMAAAW24')
| big_q('SKOLEMAAAW10') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,439,423])]) ).
cnf(442,plain,
( big_p('SKOLEMAAAW24')
| big_q(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[66,440,439])]) ).
cnf(443,plain,
big_p('SKOLEMAAAW24'),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[402,442,442,442])]) ).
cnf(444,plain,
( big_q('SKOLEMAAAW18')
| big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW10') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[91,443,419])]) ).
cnf(453,plain,
( big_p('SKOLEMAAAW4')
| big_q('SKOLEMAAAW10') ),
inference('HYPERRESOLVE',[status(thm)],[91,444,443]) ).
cnf(454,plain,
( big_p('SKOLEMAAAW4')
| big_q(X) ),
inference('HYPERRESOLVE',[status(thm)],[88,453,443]) ).
cnf(455,plain,
big_p('SKOLEMAAAW4'),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[402,454,454,454])]) ).
cnf(460,plain,
( ~ big_q('SKOLEMAAAW10')
| big_q(X)
| big_p(Y) ),
inference('REWRITE',[status(thm)],[66,455]) ).
cnf(461,plain,
( big_q('SKOLEMAAAW10')
| ~ big_q(X)
| big_p(Y) ),
inference('REWRITE',[status(thm)],[69,455]) ).
cnf(462,plain,
( big_q('SKOLEMAAAW18')
| big_q('SKOLEMAAAW10')
| big_p(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[461,419])]) ).
cnf(464,plain,
( big_q('SKOLEMAAAW10')
| big_p(X) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[461,462])]) ).
cnf(465,plain,
( big_q(X)
| big_p(Y) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[460,464])]) ).
cnf(466,plain,
big_p(X),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[402,465,465,465])]) ).
cnf(467,plain,
( ~ big_q('SKOLEMAAAW2')
| ~ big_q(X)
| ~ big_q('SKOLEMAAAW7'(X)) ),
inference('REWRITE',[status(thm)],[2,466]) ).
cnf(470,plain,
( big_q('SKOLEMAAAW3')
| big_q(X)
| big_q('SKOLEMAAAW7'(X)) ),
inference('REWRITE',[status(thm)],[20,466]) ).
cnf(471,plain,
( ~ big_q('SKOLEMAAAW22')
| big_q(X) ),
inference('REWRITE',[status(thm)],[108,466]) ).
cnf(472,plain,
( big_q('SKOLEMAAAW22')
| ~ big_q(X) ),
inference('REWRITE',[status(thm)],[112,466]) ).
cnf(473,plain,
( big_q('SKOLEMAAAW3')
| big_q('SKOLEMAAAW22') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[472,470])]) ).
cnf(475,plain,
big_q('SKOLEMAAAW22'),
inference('HYPERRESOLVE',[status(thm)],[472,473]) ).
cnf(476,plain,
big_q(X),
inference('REWRITE',[status(thm)],[471,475]) ).
cnf(477,plain,
$false,
inference('REWRITE',[status(thm)],[467,476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN036+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.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 : 600
% 0.13/0.34 % DateTime : Mon Jul 11 11:38:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T11:38:22
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-11T11:38:22
% 61.88/62.06
% 61.88/62.06
% 61.88/62.06 #||
% 61.88/62.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.88/62.06 % SZS output start Refutation
% See solution above
% 61.88/62.08 ||#
% 61.88/62.08
% 61.88/62.08 ; Summary of computation:
% 61.88/62.08 ; 231003 formulas have been input or derived (from 250 formulas).
% 61.88/62.08 ; 477 ( 0%) were retained. Of these,
% 61.88/62.08 ; 474 (99%) were simplified or subsumed later,
% 61.88/62.08 ; 3 ( 1%) are still being kept.
% 61.88/62.08 ;
% 61.88/62.08 ; Run time in seconds excluding printing time:
% 61.88/62.08 ; 0.001 0% Read assertion file (1 call)
% 61.88/62.08 ; 0.006 0% Assert (1 call)
% 61.88/62.08 ; 0.376 1% Process new row (190,867 calls)
% 61.88/62.08 ; 7.358 12% Resolution (498 calls)
% 61.88/62.08 ; 0.001 0% Paramodulation (249 calls)
% 61.88/62.08 ; 0.002 0% Factoring (154 calls)
% 61.88/62.08 ; 48.978 80% Condensing (41,134 calls)
% 61.88/62.08 ; 2.951 5% Forward subsumption (41,131 calls)
% 61.88/62.08 ; 0.014 0% Backward subsumption (346 calls)
% 61.88/62.08 ; 0.268 0% Clause clause subsumption (53,302 calls)
% 61.88/62.08 ; 0.903 1% Forward simplification (41,139 calls)
% 61.88/62.08 ; 0.000 0% Backward simplification (353 calls)
% 61.88/62.08 ; 0.222 0% Ordering (157,158 calls)
% 61.88/62.08 ; 0.000 0% Sortal reasoning (32 calls)
% 61.88/62.08 ; 0.000 0% Purity testing (1 call)
% 61.88/62.08 ; 0.512 1% Other
% 61.88/62.08 ; 61.592 Total
% 61.88/62.08 ; 61.605 Real time
% 61.88/62.08 ;
% 61.88/62.08 ; Term-hash-array has 69 terms in all.
% 61.88/62.08 ; Feature-vector-row-index has 0 entries (111 at peak, 346 added, 346 deleted).
% 61.88/62.08 ; Feature-vector-row-index has 1 node (629 at peak, 1,997 added, 1,996 deleted).
% 61.88/62.08 ; Retrieved 334,908 possibly forward subsuming rows in 41,131 calls.
% 61.88/62.08 ; Retrieved 367 possibly backward subsumed rows in 346 calls.
% 61.88/62.08 ; Path-index has 10 entries (85 at peak, 200 added, 190 deleted).
% 61.88/62.08 ; Path-index has 25 nodes (85 at peak, 172 added, 147 deleted).
% 61.88/62.08 ; Trie-index has 10 entries (85 at peak, 200 added, 190 deleted).
% 61.88/62.08 ; Trie-index has 13 nodes (85 at peak, 181 added, 168 deleted).
% 61.88/62.08 ; Retrieved 16 generalization terms in 32,816 calls.
% 61.88/62.08 ; Retrieved 16 instance terms in 6 calls.
% 61.88/62.08 ; Retrieved 1,581,723 unifiable terms in 291,073 calls.
% 61.88/62.08 ;
% 61.88/62.08 ; The agenda of backward simplifiable rows to process has 1 entry:
% 61.88/62.08 ; 1 with value 0
% 61.88/62.08 ; The agenda of rows to process has 1 entry:
% 61.88/62.08 ; 1 with value 8
% 61.88/62.08 ; The agenda of input rows to give has 1 entry:
% 61.88/62.08 ; 1 with value 3
% 61.88/62.08 Evaluation took:
% 61.88/62.08 61.606 seconds of real time
% 61.88/62.08 60.689854 seconds of user run time
% 61.88/62.08 0.920914 seconds of system run time
% 61.88/62.08 [Run times include 0.935 seconds GC run time.]
% 61.88/62.08 0 calls to %EVAL
% 61.88/62.08 0 page faults and
% 61.88/62.08 3,169,373,752 bytes consed.
% 61.88/62.08 :PROOF-FOUND
% 61.88/62.08 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T11:39:23
% 61.88/62.08 :PROOF-FOUND
% 61.88/62.08 *
%------------------------------------------------------------------------------