%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV567+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 : Tue Apr 1 02:00:58 AM UTC 2025
% Result : Theorem 22.75s 4.38s
% Output : CNFRefutation 22.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 19
% Syntax : Number of clauses : 148 ( 24 unt; 70 nHn; 107 RR)
% Number of literals : 400 ( 120 equ; 85 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 207 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_75,plain,
( subq(X1,X2)
| ~ mem(esk17_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_75) ).
cnf(i_0_78,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_78) ).
cnf(i_0_79,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_79) ).
cnf(i_0_77,plain,
( mem(X1,X2)
| ~ subq(X3,X2)
| ~ mem(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_77) ).
cnf(i_0_76,plain,
( subq(X1,X2)
| mem(esk17_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_76) ).
cnf(i_0_72,plain,
( mem(X1,s(X2))
| X1 != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_72) ).
cnf(i_0_69,negated_conjecture,
subq(u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_69) ).
cnf(i_0_80,plain,
( mem(X1,X2)
| mem(X1,X3)
| ~ mem(X1,u(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_80) ).
cnf(i_0_73,plain,
( X1 = X2
| ~ mem(X1,s(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_73) ).
cnf(i_0_32,plain,
( mem(esk8_1(X1),X1)
| ~ atleast2p(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_32) ).
cnf(i_0_70,plain,
( mem(X1,p(X2))
| ~ subq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_70) ).
cnf(i_0_31,plain,
( ~ atleast2p(X1)
| ~ subq(X1,p(esk8_1(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_31) ).
cnf(i_0_61,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_61) ).
cnf(i_0_62,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_62) ).
cnf(i_0_71,plain,
( subq(X1,X2)
| ~ mem(X1,p(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_71) ).
cnf(i_0_30,plain,
( atleast2p(X1)
| subq(X1,p(X2))
| ~ mem(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_30) ).
cnf(i_0_63,plain,
( ~ mem(X1,X2)
| ~ mem(X1,X3)
| ~ disj(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_63) ).
cnf(i_0_64,plain,
~ mem(X1,e),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_64) ).
cnf(i_0_74,plain,
( X1 = X2
| ~ subq(X2,X1)
| ~ subq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tosr4hhu/input.p',i_0_74) ).
cnf(c_0_100,plain,
( subq(X1,X2)
| ~ mem(esk17_2(X1,X2),X2) ),
i_0_75 ).
cnf(c_0_101,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X3) ),
i_0_78 ).
cnf(c_0_102,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X2) ),
i_0_79 ).
cnf(c_0_103,plain,
( mem(X1,X2)
| ~ subq(X3,X2)
| ~ mem(X1,X3) ),
i_0_77 ).
cnf(c_0_104,plain,
( subq(X1,X2)
| mem(esk17_2(X1,X2),X1) ),
i_0_76 ).
cnf(c_0_105,plain,
( subq(X1,u(X2,X3))
| ~ mem(esk17_2(X1,u(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( mem(X1,s(X2))
| X1 != X2 ),
i_0_72 ).
cnf(c_0_107,plain,
( subq(X1,u(X2,X3))
| ~ mem(esk17_2(X1,u(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_102]) ).
cnf(c_0_108,plain,
( mem(esk17_2(X1,X2),X3)
| subq(X1,X2)
| ~ subq(X1,X3) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,plain,
subq(X1,u(X2,X1)),
inference(spm,[status(thm)],[c_0_105,c_0_104]) ).
cnf(c_0_110,plain,
mem(X1,s(X1)),
inference(er,[status(thm)],[c_0_106]) ).
cnf(c_0_111,plain,
subq(X1,u(X1,X2)),
inference(spm,[status(thm)],[c_0_107,c_0_104]) ).
cnf(c_0_112,plain,
( mem(esk17_2(X1,X2),u(X3,X1))
| subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_113,plain,
( mem(X1,X2)
| ~ subq(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_110]) ).
cnf(c_0_114,plain,
( subq(X1,u(X2,u(X3,X4)))
| ~ mem(esk17_2(X1,u(X2,u(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_105,c_0_102]) ).
cnf(c_0_115,plain,
( mem(esk17_2(X1,X2),u(X1,X3))
| subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_111]) ).
cnf(c_0_116,plain,
( mem(esk17_2(X1,X2),X3)
| subq(X1,X2)
| ~ subq(u(X4,X1),X3) ),
inference(spm,[status(thm)],[c_0_103,c_0_112]) ).
cnf(c_0_117,negated_conjecture,
subq(u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
i_0_69 ).
cnf(c_0_118,plain,
( mem(X1,X2)
| ~ subq(s(X1),X3)
| ~ subq(X3,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_113]) ).
cnf(c_0_119,plain,
subq(X1,u(X2,u(u(X1,X3),X4))),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
( mem(esk17_2(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| subq(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_121,plain,
( mem(X1,X2)
| ~ subq(u(X3,u(u(s(X1),X4),X5)),X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,plain,
subq(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(spm,[status(thm)],[c_0_100,c_0_120]) ).
cnf(c_0_123,plain,
( mem(X1,X2)
| mem(X1,X3)
| ~ mem(X1,u(X3,X2)) ),
i_0_80 ).
cnf(c_0_124,plain,
mem(u(e,s(e)),u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,plain,
( mem(u(e,s(e)),u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(u(e,s(e)),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_126,plain,
( mem(u(e,s(e)),u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(u(e,s(e)),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
inference(spm,[status(thm)],[c_0_123,c_0_125]) ).
cnf(c_0_127,plain,
( mem(u(e,s(e)),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(u(e,s(e)),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))) ),
inference(spm,[status(thm)],[c_0_123,c_0_126]) ).
cnf(c_0_128,plain,
( mem(u(e,s(e)),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(u(e,s(e)),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))) ),
inference(spm,[status(thm)],[c_0_123,c_0_127]) ).
cnf(c_0_129,plain,
( X1 = X2
| ~ mem(X1,s(X2)) ),
i_0_73 ).
cnf(c_0_130,plain,
( mem(esk8_1(X1),X1)
| ~ atleast2p(X1) ),
i_0_32 ).
cnf(c_0_131,plain,
( mem(X1,p(X2))
| ~ subq(X1,X2) ),
i_0_70 ).
cnf(c_0_132,plain,
( mem(u(e,s(e)),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(u(e,s(e)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_123,c_0_128]) ).
cnf(c_0_133,plain,
( ~ atleast2p(X1)
| ~ subq(X1,p(esk8_1(X1))) ),
i_0_31 ).
cnf(c_0_134,plain,
( esk8_1(s(X1)) = X1
| ~ atleast2p(s(X1)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,plain,
( subq(X1,p(X2))
| ~ subq(esk17_2(X1,p(X2)),X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_131]) ).
cnf(c_0_136,plain,
( esk17_2(s(X1),X2) = X1
| subq(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_104]) ).
cnf(c_0_137,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X2) ),
i_0_61 ).
cnf(c_0_138,plain,
( u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| mem(u(e,s(e)),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(u(e,s(e)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_129,c_0_132]) ).
cnf(c_0_139,plain,
( ~ atleast2p(s(X1))
| ~ subq(s(X1),p(X1)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_140,plain,
( subq(s(X1),p(X2))
| ~ subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_141,plain,
subq(X1,X1),
inference(spm,[status(thm)],[c_0_100,c_0_104]) ).
cnf(c_0_142,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X1) ),
i_0_62 ).
cnf(c_0_143,plain,
( esk16_2(X1,s(X2)) = X2
| disj(X1,s(X2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_137]) ).
cnf(c_0_144,plain,
( subq(X1,X2)
| ~ mem(X1,p(X2)) ),
i_0_71 ).
cnf(c_0_145,plain,
( atleast2p(X1)
| subq(X1,p(X2))
| ~ mem(X2,X1) ),
i_0_30 ).
cnf(c_0_146,plain,
( u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(u(e,s(e)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_129,c_0_138]) ).
cnf(c_0_147,plain,
~ atleast2p(s(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141])]) ).
cnf(c_0_148,plain,
( ~ mem(X1,X2)
| ~ mem(X1,X3)
| ~ disj(X3,X2) ),
i_0_63 ).
cnf(c_0_149,plain,
( disj(X1,s(X2))
| mem(X2,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_150,plain,
( subq(X1,X2)
| ~ subq(s(X1),p(X2)) ),
inference(spm,[status(thm)],[c_0_144,c_0_113]) ).
cnf(c_0_151,plain,
( u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| mem(u(e,s(e)),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(u(e,s(e)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| subq(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),p(u(e,s(e)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).
cnf(c_0_152,plain,
( mem(X1,X2)
| ~ mem(X3,s(X1))
| ~ mem(X3,X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_153,plain,
( mem(X1,X2)
| ~ subq(u(X3,s(X1)),X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_109]) ).
cnf(c_0_154,plain,
( u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| mem(u(e,s(e)),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(u(e,s(e)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| subq(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_155,plain,
( mem(X1,X2)
| subq(s(X1),X3)
| ~ mem(esk17_2(s(X1),X3),X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_104]) ).
cnf(c_0_156,plain,
( u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| mem(u(e,s(e)),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(u(e,s(e)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(u(u(e,s(e)),s(u(e,s(e)))),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_157,plain,
~ mem(X1,e),
i_0_64 ).
cnf(c_0_158,plain,
( X1 = X2
| ~ subq(s(X1),s(X2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_113]) ).
cnf(c_0_159,plain,
( mem(X1,u(X2,s(X1)))
| subq(s(X1),X3) ),
inference(spm,[status(thm)],[c_0_155,c_0_112]) ).
cnf(c_0_160,plain,
( u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| mem(u(e,s(e)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(u(u(e,s(e)),s(u(e,s(e)))),u(e,s(e)))
| mem(u(e,s(e)),s(s(s(u(e,s(e))))))
| mem(u(e,s(e)),s(s(u(e,s(e))))) ),
inference(spm,[status(thm)],[c_0_123,c_0_156]) ).
cnf(c_0_161,plain,
subq(X1,u(X2,u(X1,X3))),
inference(spm,[status(thm)],[c_0_114,c_0_104]) ).
cnf(c_0_162,plain,
~ subq(s(X1),e),
inference(spm,[status(thm)],[c_0_157,c_0_113]) ).
cnf(c_0_163,plain,
( X1 = X2
| mem(X1,u(X3,s(X1))) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_164,plain,
( mem(X1,u(X2,s(X1)))
| subq(X1,X3) ),
inference(spm,[status(thm)],[c_0_150,c_0_159]) ).
cnf(c_0_165,plain,
( u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| s(u(u(e,s(e)),s(u(e,s(e))))) = u(e,s(e))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(u(u(e,s(e)),s(u(e,s(e)))),u(e,s(e)))
| mem(u(e,s(e)),s(s(s(u(e,s(e))))))
| mem(u(e,s(e)),s(s(u(e,s(e))))) ),
inference(spm,[status(thm)],[c_0_129,c_0_160]) ).
cnf(c_0_166,plain,
( mem(X1,X2)
| ~ subq(u(X3,u(s(X1),X4)),X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_161]) ).
cnf(c_0_167,plain,
mem(X1,u(X2,s(X1))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_168,plain,
( u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| s(u(u(e,s(e)),s(u(e,s(e))))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| mem(u(u(e,s(e)),s(u(e,s(e)))),u(e,s(e)))
| mem(u(e,s(e)),s(s(s(u(e,s(e))))))
| mem(u(e,s(e)),s(s(u(e,s(e))))) ),
inference(spm,[status(thm)],[c_0_129,c_0_165]) ).
cnf(c_0_169,plain,
mem(X1,u(X2,u(s(X1),X3))),
inference(spm,[status(thm)],[c_0_166,c_0_141]) ).
cnf(c_0_170,plain,
( u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| s(u(u(e,s(e)),s(u(e,s(e))))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| mem(u(u(e,s(e)),s(u(e,s(e)))),u(e,s(e)))
| mem(u(e,s(e)),s(s(s(u(e,s(e))))))
| mem(u(e,s(e)),s(s(u(e,s(e))))) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_171,plain,
( X1 = X2
| ~ subq(X2,X1)
| ~ subq(X1,X2) ),
i_0_74 ).
cnf(c_0_172,plain,
subq(e,X1),
inference(spm,[status(thm)],[c_0_157,c_0_104]) ).
cnf(c_0_173,plain,
( s(u(u(e,s(e)),s(u(e,s(e))))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| mem(u(u(e,s(e)),s(u(e,s(e)))),u(e,s(e)))
| mem(u(e,s(e)),s(s(s(u(e,s(e))))))
| mem(u(e,s(e)),s(s(u(e,s(e)))))
| mem(u(e,s(e)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_174,plain,
( atleast2p(s(X1))
| subq(s(X1),p(X1)) ),
inference(spm,[status(thm)],[c_0_145,c_0_110]) ).
cnf(c_0_175,plain,
( X1 = e
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_176,plain,
( subq(esk17_2(p(X1),X2),X1)
| subq(p(X1),X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_104]) ).
cnf(c_0_177,plain,
( s(u(u(e,s(e)),s(u(e,s(e))))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| mem(u(u(e,s(e)),s(u(e,s(e)))),s(e))
| mem(u(e,s(e)),s(s(s(u(e,s(e))))))
| mem(u(e,s(e)),s(s(u(e,s(e)))))
| mem(u(e,s(e)),u(e,s(e))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_173]),c_0_157]) ).
cnf(c_0_178,plain,
subq(s(X1),p(X1)),
inference(sr,[status(thm)],[c_0_174,c_0_147]) ).
cnf(c_0_179,plain,
( esk17_2(p(e),X1) = e
| subq(p(e),X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_180,plain,
( s(u(u(e,s(e)),s(u(e,s(e))))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = e
| mem(u(e,s(e)),s(s(s(u(e,s(e))))))
| mem(u(e,s(e)),s(s(u(e,s(e)))))
| mem(u(e,s(e)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_129,c_0_177]) ).
cnf(c_0_181,plain,
( p(X1) = s(X1)
| ~ subq(p(X1),s(X1)) ),
inference(spm,[status(thm)],[c_0_171,c_0_178]) ).
cnf(c_0_182,plain,
( subq(p(e),X1)
| ~ mem(e,X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_179]) ).
cnf(c_0_183,plain,
( s(u(u(e,s(e)),s(u(e,s(e))))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = e
| s(s(u(e,s(e)))) = u(e,s(e))
| mem(u(e,s(e)),s(s(u(e,s(e)))))
| mem(u(e,s(e)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_129,c_0_180]) ).
cnf(c_0_184,plain,
p(e) = s(e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_110])]) ).
cnf(c_0_185,plain,
( mem(X1,X2)
| ~ subq(p(X1),X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_178]) ).
cnf(c_0_186,plain,
( s(u(u(e,s(e)),s(u(e,s(e))))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = e
| s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| mem(u(e,s(e)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_129,c_0_183]) ).
cnf(c_0_187,plain,
( atleast2p(X1)
| subq(X1,s(e))
| ~ mem(e,X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_184]) ).
cnf(c_0_188,plain,
mem(X1,u(X2,p(X1))),
inference(spm,[status(thm)],[c_0_185,c_0_109]) ).
cnf(c_0_189,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = e
| s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| mem(u(e,s(e)),u(e,s(e)))
| ~ atleast2p(u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_147,c_0_186]) ).
cnf(c_0_190,plain,
( atleast2p(u(X1,s(e)))
| subq(u(X1,s(e)),s(e)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_184]),c_0_184]) ).
cnf(c_0_191,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = e
| s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| mem(u(e,s(e)),u(e,s(e)))
| subq(u(e,s(e)),s(e)) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_192,plain,
( disj(X1,p(X2))
| subq(esk16_2(X1,p(X2)),X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_137]) ).
cnf(c_0_193,plain,
( esk16_2(s(X1),X2) = X1
| disj(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_142]) ).
cnf(c_0_194,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = e
| s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| mem(u(e,s(e)),s(e))
| subq(u(e,s(e)),s(e)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_191]),c_0_157]) ).
cnf(c_0_195,plain,
( mem(X1,X2)
| ~ subq(p(X3),X2)
| ~ subq(X1,X3) ),
inference(spm,[status(thm)],[c_0_103,c_0_131]) ).
cnf(c_0_196,plain,
( disj(s(X1),p(X2))
| subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_197,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = e
| s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| mem(u(e,s(e)),u(e,s(e)))
| subq(u(e,s(e)),s(e)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_194]),c_0_101]) ).
cnf(c_0_198,plain,
( mem(X1,X2)
| ~ subq(s(e),X2)
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_195,c_0_184]) ).
cnf(c_0_199,plain,
( disj(s(X1),s(e))
| subq(X1,e) ),
inference(spm,[status(thm)],[c_0_196,c_0_184]) ).
cnf(c_0_200,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = e
| s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| mem(u(e,s(e)),s(e))
| subq(u(e,s(e)),s(e)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_197]),c_0_157]) ).
cnf(c_0_201,plain,
( subq(X1,X2)
| ~ subq(s(e),p(X2))
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_144,c_0_198]) ).
cnf(c_0_202,plain,
( subq(X1,e)
| ~ mem(X2,s(e))
| ~ mem(X2,s(X1)) ),
inference(spm,[status(thm)],[c_0_148,c_0_199]) ).
cnf(c_0_203,plain,
( subq(X1,e)
| ~ mem(X1,s(e)) ),
inference(spm,[status(thm)],[c_0_144,c_0_184]) ).
cnf(c_0_204,plain,
( s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| mem(u(e,s(e)),s(e))
| subq(u(e,s(e)),s(e)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_200]),c_0_162]) ).
cnf(c_0_205,plain,
( subq(X1,X2)
| ~ subq(X1,e) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_140]),c_0_172])]) ).
cnf(c_0_206,plain,
( subq(X1,e)
| ~ mem(e,s(X1)) ),
inference(spm,[status(thm)],[c_0_202,c_0_110]) ).
cnf(c_0_207,plain,
( s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| subq(u(e,s(e)),s(e)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]) ).
cnf(c_0_208,plain,
( subq(X1,e)
| ~ subq(s(e),s(X1)) ),
inference(spm,[status(thm)],[c_0_206,c_0_113]) ).
cnf(c_0_209,plain,
( s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| u(e,s(e)) = s(e) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_207]),c_0_109])]) ).
cnf(c_0_210,plain,
( s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| u(e,s(e)) = e
| subq(u(e,s(e)),s(e)) ),
inference(spm,[status(thm)],[c_0_129,c_0_204]) ).
cnf(c_0_211,plain,
( s(u(e,s(e))) = u(e,s(e))
| u(e,s(e)) = s(e) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_109])]),c_0_162]) ).
cnf(c_0_212,plain,
( s(s(u(e,s(e)))) = u(e,s(e))
| s(u(e,s(e))) = u(e,s(e))
| u(e,s(e)) = s(e)
| u(e,s(e)) = e ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_210]),c_0_109])]) ).
cnf(c_0_213,plain,
( u(e,s(e)) = s(e)
| subq(u(e,s(e)),e) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_211]),c_0_109])]) ).
cnf(c_0_214,plain,
( s(u(e,s(e))) = u(e,s(e))
| u(e,s(e)) = s(e)
| u(e,s(e)) = e ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_212]),c_0_109])]),c_0_162]) ).
cnf(c_0_215,plain,
( u(X1,X2) = X1
| ~ subq(u(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_171,c_0_111]) ).
cnf(c_0_216,plain,
u(e,s(e)) = s(e),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_213]),c_0_157]) ).
cnf(c_0_217,plain,
( u(e,s(e)) = s(e)
| u(e,s(e)) = e ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_214]),c_0_109])]),c_0_215]) ).
cnf(c_0_218,plain,
( subq(X1,e)
| ~ subq(s(X1),s(e)) ),
inference(spm,[status(thm)],[c_0_150,c_0_184]) ).
cnf(c_0_219,plain,
( s(u(s(e),s(s(e)))) = s(e)
| u(s(e),s(s(e))) = s(e)
| u(s(e),s(s(e))) = e
| s(s(s(e))) = s(e)
| s(s(e)) = s(e)
| mem(s(e),s(e)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]),c_0_216]) ).
cnf(c_0_220,plain,
( u(e,s(e)) = e
| s(e) != e ),
inference(ef,[status(thm)],[c_0_217]) ).
cnf(c_0_221,plain,
( u(s(e),s(s(e))) = s(e)
| u(s(e),s(s(e))) = e
| s(s(s(e))) = s(e)
| s(s(e)) = s(e)
| mem(s(e),s(e)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_141])]),c_0_175]) ).
cnf(c_0_222,plain,
s(e) != e,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_220]),c_0_162]) ).
cnf(c_0_223,plain,
( u(s(e),s(s(e))) = s(e)
| u(s(e),s(s(e))) = e
| s(s(s(e))) = s(e)
| s(s(e)) = s(e) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_221]),c_0_222]) ).
cnf(c_0_224,plain,
( u(s(e),s(s(e))) = e
| s(s(s(e))) = s(e)
| s(s(e)) = s(e)
| mem(s(e),s(e)) ),
inference(spm,[status(thm)],[c_0_167,c_0_223]) ).
cnf(c_0_225,plain,
( u(s(e),s(s(e))) = e
| s(s(s(e))) = s(e)
| s(s(e)) = s(e) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_224]),c_0_222]) ).
cnf(c_0_226,plain,
( s(s(s(e))) = s(e)
| s(s(e)) = s(e) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_225]),c_0_172])]),c_0_222]) ).
cnf(c_0_227,plain,
s(s(e)) = s(e),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_226]),c_0_141])]),c_0_162]) ).
cnf(c_0_228,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_227]),c_0_141])]),c_0_162]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEV567+1 : TPTP v9.1.0. Released v9.1.0.
% 0.13/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Mar 31 12:35:50 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected SinE mode:
% 0.21/0.48 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 22.75/4.38 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 22.75/4.38 # Version: 2.1pre011
% 22.75/4.38 # Preprocessing time : 0.167 s
% 22.75/4.38
% 22.75/4.38 # Proof found!
% 22.75/4.38 # SZS status Theorem
% 22.75/4.38 # SZS output start CNFRefutation
% See solution above
% 22.75/4.38 # Proof object total steps : 148
% 22.75/4.38 # Proof object clause steps : 129
% 22.75/4.38 # Proof object formula steps : 19
% 22.75/4.38 # Proof object conjectures : 3
% 22.75/4.38 # Proof object clause conjectures : 2
% 22.75/4.38 # Proof object formula conjectures : 1
% 22.75/4.38 # Proof object initial clauses used : 19
% 22.75/4.38 # Proof object initial formulas used : 19
% 22.75/4.38 # Proof object generating inferences : 107
% 22.75/4.38 # Proof object simplifying inferences : 63
% 22.75/4.38 # Training examples: 0 positive, 0 negative
% 22.75/4.38 # Parsed axioms : 78
% 22.75/4.38 # Removed by relevancy pruning/SinE : 0
% 22.75/4.38 # Initial clauses : 78
% 22.75/4.38 # Removed in clause preprocessing : 0
% 22.75/4.38 # Initial clauses in saturation : 78
% 22.75/4.38 # Processed clauses : 4929
% 22.75/4.38 # ...of these trivial : 37
% 22.75/4.38 # ...subsumed : 2661
% 22.75/4.38 # ...remaining for further processing : 2231
% 22.75/4.38 # Other redundant clauses eliminated : 1
% 22.75/4.38 # Clauses deleted for lack of memory : 0
% 22.75/4.38 # Backward-subsumed : 138
% 22.75/4.38 # Backward-rewritten : 287
% 22.75/4.38 # Generated clauses : 75188
% 22.75/4.38 # ...of the previous two non-trivial : 71659
% 22.75/4.38 # Contextual simplify-reflections : 977
% 22.75/4.38 # Paramodulations : 75161
% 22.75/4.38 # Factorizations : 25
% 22.75/4.38 # Equation resolutions : 1
% 22.75/4.38 # Propositional unsat checks : 0
% 22.75/4.38 # Propositional unsat check successes : 0
% 22.75/4.38 # Current number of processed clauses : 1804
% 22.75/4.38 # Positive orientable unit clauses : 119
% 22.75/4.38 # Positive unorientable unit clauses: 0
% 22.75/4.38 # Negative unit clauses : 45
% 22.75/4.38 # Non-unit-clauses : 1640
% 22.75/4.38 # Current number of unprocessed clauses: 39368
% 22.75/4.38 # ...number of literals in the above : 125520
% 22.75/4.38 # Current number of archived formulas : 0
% 22.75/4.38 # Current number of archived clauses : 426
% 22.75/4.38 # Clause-clause subsumption calls (NU) : 583877
% 22.75/4.38 # Rec. Clause-clause subsumption calls : 272851
% 22.75/4.38 # Non-unit clause-clause subsumptions : 2232
% 22.75/4.38 # Unit Clause-clause subsumption calls : 18002
% 22.75/4.38 # Rewrite failures with RHS unbound : 0
% 22.75/4.38 # BW rewrite match attempts : 3679
% 22.75/4.38 # BW rewrite match successes : 26
% 22.75/4.38 # Condensation attempts : 0
% 22.75/4.38 # Condensation successes : 0
% 22.75/4.38 # Termbank termtop insertions : 2941198
% 22.75/4.38
% 22.75/4.38 # -------------------------------------------------
% 22.75/4.38 # User time : 1.699 s
% 22.75/4.38 # System time : 0.024 s
% 22.75/4.38 # Total time : 1.723 s
% 22.75/4.38 # ...preprocessing : 0.167 s
% 22.75/4.38 # ...main loop : 1.556 s
% 22.75/4.38 # Maximum resident set size: 56780 pages
% 22.75/4.38
%------------------------------------------------------------------------------