%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV569+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 18.44s 3.81s
% Output : CNFRefutation 18.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 14
% Syntax : Number of clauses : 85 ( 20 unt; 37 nHn; 55 RR)
% Number of literals : 195 ( 39 equ; 44 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 149 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_75,plain,
( subq(X1,X2)
| ~ mem(esk17_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gi1d2z18/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-gi1d2z18/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-gi1d2z18/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-gi1d2z18/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-gi1d2z18/input.p',i_0_76) ).
cnf(i_0_72,plain,
( mem(X1,s(X2))
| X1 != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gi1d2z18/input.p',i_0_72) ).
cnf(i_0_69,negated_conjecture,
subq(u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(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)),s(u(e,s(e))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gi1d2z18/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-gi1d2z18/input.p',i_0_80) ).
cnf(i_0_73,plain,
( X1 = X2
| ~ mem(X1,s(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gi1d2z18/input.p',i_0_73) ).
cnf(i_0_61,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gi1d2z18/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-gi1d2z18/input.p',i_0_62) ).
cnf(i_0_63,plain,
( ~ mem(X1,X2)
| ~ mem(X1,X3)
| ~ disj(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gi1d2z18/input.p',i_0_63) ).
cnf(i_0_71,plain,
( subq(X1,X2)
| ~ mem(X1,p(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gi1d2z18/input.p',i_0_71) ).
cnf(i_0_64,plain,
~ mem(X1,e),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gi1d2z18/input.p',i_0_64) ).
cnf(c_0_95,plain,
( subq(X1,X2)
| ~ mem(esk17_2(X1,X2),X2) ),
i_0_75 ).
cnf(c_0_96,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X3) ),
i_0_78 ).
cnf(c_0_97,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X2) ),
i_0_79 ).
cnf(c_0_98,plain,
( mem(X1,X2)
| ~ subq(X3,X2)
| ~ mem(X1,X3) ),
i_0_77 ).
cnf(c_0_99,plain,
( subq(X1,X2)
| mem(esk17_2(X1,X2),X1) ),
i_0_76 ).
cnf(c_0_100,plain,
( subq(X1,u(X2,X3))
| ~ mem(esk17_2(X1,u(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( mem(X1,s(X2))
| X1 != X2 ),
i_0_72 ).
cnf(c_0_102,plain,
( subq(X1,u(X2,X3))
| ~ mem(esk17_2(X1,u(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_97]) ).
cnf(c_0_103,plain,
( mem(esk17_2(X1,X2),X3)
| subq(X1,X2)
| ~ subq(X1,X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,plain,
subq(X1,u(X2,X1)),
inference(spm,[status(thm)],[c_0_100,c_0_99]) ).
cnf(c_0_105,plain,
mem(X1,s(X1)),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_106,plain,
subq(X1,u(X1,X2)),
inference(spm,[status(thm)],[c_0_102,c_0_99]) ).
cnf(c_0_107,plain,
( mem(esk17_2(X1,X2),u(X3,X1))
| subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,plain,
( mem(X1,X2)
| ~ subq(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_105]) ).
cnf(c_0_109,plain,
( mem(esk17_2(X1,X2),u(X1,X3))
| subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_106]) ).
cnf(c_0_110,plain,
( mem(esk17_2(X1,X2),X3)
| subq(X1,X2)
| ~ subq(u(X4,X1),X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
subq(u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(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)),s(u(e,s(e))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),
i_0_69 ).
cnf(c_0_112,plain,
( mem(X1,X2)
| ~ subq(s(X1),X3)
| ~ subq(X3,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_108]) ).
cnf(c_0_113,plain,
subq(X1,u(u(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_102,c_0_109]) ).
cnf(c_0_114,negated_conjecture,
( mem(esk17_2(u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(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)),s(u(e,s(e))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| subq(u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
( mem(X1,X2)
| ~ subq(u(u(s(X1),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_116,plain,
subq(u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(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)),s(u(e,s(e))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),
inference(spm,[status(thm)],[c_0_95,c_0_114]) ).
cnf(c_0_117,plain,
( mem(X1,X2)
| mem(X1,X3)
| ~ mem(X1,u(X3,X2)) ),
i_0_80 ).
cnf(c_0_118,plain,
mem(u(e,s(e)),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(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)),s(u(e,s(e))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
( mem(u(e,s(e)),u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),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)),u(s(u(e,s(e))),s(s(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_117,c_0_118]) ).
cnf(c_0_120,plain,
( mem(u(e,s(e)),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(u(e,s(e)),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)),u(s(u(e,s(e))),s(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)),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_117,c_0_119]) ).
cnf(c_0_121,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(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(u(e,s(e)),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(u(e,s(e)),s(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(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_117,c_0_120]) ).
cnf(c_0_122,plain,
( X1 = X2
| ~ mem(X1,s(X2)) ),
i_0_73 ).
cnf(c_0_123,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X2) ),
i_0_61 ).
cnf(c_0_124,plain,
( mem(u(e,s(e)),s(u(u(u(e,s(e)),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)),s(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(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_117,c_0_121]) ).
cnf(c_0_125,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X1) ),
i_0_62 ).
cnf(c_0_126,plain,
( esk16_2(X1,s(X2)) = X2
| disj(X1,s(X2)) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_127,plain,
( u(u(u(e,s(e)),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)),s(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(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_122,c_0_124]) ).
cnf(c_0_128,plain,
( ~ mem(X1,X2)
| ~ mem(X1,X3)
| ~ disj(X3,X2) ),
i_0_63 ).
cnf(c_0_129,plain,
( disj(X1,s(X2))
| mem(X2,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_130,plain,
( mem(X1,X2)
| ~ subq(u(X3,s(X1)),X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_104]) ).
cnf(c_0_131,plain,
( u(u(u(e,s(e)),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)),s(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(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_122,c_0_127]) ).
cnf(c_0_132,plain,
( mem(X1,X2)
| ~ mem(X3,s(X1))
| ~ mem(X3,X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_133,plain,
( subq(X1,u(X2,u(X3,X4)))
| ~ mem(esk17_2(X1,u(X2,u(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_97]) ).
cnf(c_0_134,plain,
mem(X1,u(u(X2,s(X1)),X3)),
inference(spm,[status(thm)],[c_0_130,c_0_106]) ).
cnf(c_0_135,plain,
( u(u(u(e,s(e)),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))
| u(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(s(u(e,s(e))),s(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_122,c_0_131]) ).
cnf(c_0_136,plain,
( mem(X1,X2)
| subq(s(X1),X3)
| ~ mem(esk17_2(s(X1),X3),X2) ),
inference(spm,[status(thm)],[c_0_132,c_0_99]) ).
cnf(c_0_137,plain,
( subq(X1,X2)
| ~ mem(X1,p(X2)) ),
i_0_71 ).
cnf(c_0_138,plain,
subq(X1,u(X2,u(X1,X3))),
inference(spm,[status(thm)],[c_0_133,c_0_99]) ).
cnf(c_0_139,plain,
( u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| u(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(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(u(e,s(e)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_140,plain,
~ mem(X1,e),
i_0_64 ).
cnf(c_0_141,plain,
( X1 = X2
| ~ subq(s(X1),s(X2)) ),
inference(spm,[status(thm)],[c_0_122,c_0_108]) ).
cnf(c_0_142,plain,
( mem(X1,u(X2,s(X1)))
| subq(s(X1),X3) ),
inference(spm,[status(thm)],[c_0_136,c_0_107]) ).
cnf(c_0_143,plain,
( subq(X1,X2)
| ~ subq(s(X1),p(X2)) ),
inference(spm,[status(thm)],[c_0_137,c_0_108]) ).
cnf(c_0_144,plain,
( mem(X1,X2)
| ~ subq(u(X3,u(s(X1),X4)),X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_138]) ).
cnf(c_0_145,plain,
subq(X1,X1),
inference(spm,[status(thm)],[c_0_95,c_0_99]) ).
cnf(c_0_146,plain,
( u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = u(e,s(e))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = 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(e,s(e))))))
| mem(u(e,s(e)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_122,c_0_139]) ).
cnf(c_0_147,plain,
~ subq(s(X1),e),
inference(spm,[status(thm)],[c_0_140,c_0_108]) ).
cnf(c_0_148,plain,
( X1 = X2
| mem(X1,u(X3,s(X1))) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_149,plain,
( mem(X1,u(X2,s(X1)))
| subq(X1,X3) ),
inference(spm,[status(thm)],[c_0_143,c_0_142]) ).
cnf(c_0_150,plain,
mem(X1,u(X2,u(s(X1),X3))),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
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(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| u(s(u(e,s(e))),s(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(e,s(e)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_122,c_0_146]) ).
cnf(c_0_152,plain,
mem(X1,u(X2,s(X1))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).
cnf(c_0_153,plain,
( u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = u(e,s(e))
| u(s(u(e,s(e))),s(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(e,s(e)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_154,plain,
( u(s(u(e,s(e))),s(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)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_155,plain,
( mem(X1,X2)
| ~ subq(u(s(X1),X3),X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_106]) ).
cnf(c_0_156,plain,
( u(s(u(e,s(e))),s(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)),u(e,s(e))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_154]),c_0_140]) ).
cnf(c_0_157,plain,
mem(X1,u(s(X1),X2)),
inference(spm,[status(thm)],[c_0_155,c_0_145]) ).
cnf(c_0_158,plain,
( u(s(u(e,s(e))),s(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)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_122,c_0_156]) ).
cnf(c_0_159,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
| mem(u(e,s(e)),u(e,s(e))) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_160,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
| mem(u(e,s(e)),s(e)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_159]),c_0_140]) ).
cnf(c_0_161,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = e
| mem(u(e,s(e)),u(e,s(e))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_160]),c_0_96]) ).
cnf(c_0_162,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = e
| mem(u(e,s(e)),s(e)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_161]),c_0_140]) ).
cnf(c_0_163,plain,
mem(u(e,s(e)),s(e)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_162]),c_0_147]) ).
cnf(c_0_164,plain,
u(e,s(e)) = e,
inference(spm,[status(thm)],[c_0_122,c_0_163]) ).
cnf(c_0_165,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_164]),c_0_147]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV569+1 : TPTP v9.1.0. Released v9.1.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Mar 31 12:40:50 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 18.44/3.81 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 18.44/3.81 # Version: 2.1pre011
% 18.44/3.81 # Preprocessing time : 0.161 s
% 18.44/3.81
% 18.44/3.81 # Proof found!
% 18.44/3.81 # SZS status Theorem
% 18.44/3.81 # SZS output start CNFRefutation
% See solution above
% 18.44/3.81 # Proof object total steps : 85
% 18.44/3.81 # Proof object clause steps : 71
% 18.44/3.81 # Proof object formula steps : 14
% 18.44/3.81 # Proof object conjectures : 3
% 18.44/3.81 # Proof object clause conjectures : 2
% 18.44/3.81 # Proof object formula conjectures : 1
% 18.44/3.81 # Proof object initial clauses used : 14
% 18.44/3.81 # Proof object initial formulas used : 14
% 18.44/3.81 # Proof object generating inferences : 56
% 18.44/3.81 # Proof object simplifying inferences : 8
% 18.44/3.81 # Training examples: 0 positive, 0 negative
% 18.44/3.81 # Parsed axioms : 78
% 18.44/3.81 # Removed by relevancy pruning/SinE : 0
% 18.44/3.81 # Initial clauses : 78
% 18.44/3.81 # Removed in clause preprocessing : 0
% 18.44/3.81 # Initial clauses in saturation : 78
% 18.44/3.81 # Processed clauses : 4062
% 18.44/3.81 # ...of these trivial : 42
% 18.44/3.81 # ...subsumed : 1948
% 18.44/3.81 # ...remaining for further processing : 2072
% 18.44/3.81 # Other redundant clauses eliminated : 1
% 18.44/3.81 # Clauses deleted for lack of memory : 0
% 18.44/3.81 # Backward-subsumed : 138
% 18.44/3.81 # Backward-rewritten : 327
% 18.44/3.81 # Generated clauses : 59708
% 18.44/3.81 # ...of the previous two non-trivial : 57475
% 18.44/3.81 # Contextual simplify-reflections : 694
% 18.44/3.81 # Paramodulations : 59681
% 18.44/3.81 # Factorizations : 25
% 18.44/3.81 # Equation resolutions : 1
% 18.44/3.81 # Propositional unsat checks : 0
% 18.44/3.81 # Propositional unsat check successes : 0
% 18.44/3.81 # Current number of processed clauses : 1605
% 18.44/3.81 # Positive orientable unit clauses : 122
% 18.44/3.81 # Positive unorientable unit clauses: 0
% 18.44/3.81 # Negative unit clauses : 39
% 18.44/3.81 # Non-unit-clauses : 1444
% 18.44/3.81 # Current number of unprocessed clauses: 34233
% 18.44/3.81 # ...number of literals in the above : 95860
% 18.44/3.81 # Current number of archived formulas : 0
% 18.44/3.81 # Current number of archived clauses : 466
% 18.44/3.81 # Clause-clause subsumption calls (NU) : 386246
% 18.44/3.81 # Rec. Clause-clause subsumption calls : 191986
% 18.44/3.81 # Non-unit clause-clause subsumptions : 1760
% 18.44/3.81 # Unit Clause-clause subsumption calls : 16669
% 18.44/3.81 # Rewrite failures with RHS unbound : 0
% 18.44/3.81 # BW rewrite match attempts : 3435
% 18.44/3.81 # BW rewrite match successes : 24
% 18.44/3.81 # Condensation attempts : 0
% 18.44/3.81 # Condensation successes : 0
% 18.44/3.81 # Termbank termtop insertions : 2172865
% 18.44/3.81
% 18.44/3.81 # -------------------------------------------------
% 18.44/3.81 # User time : 1.300 s
% 18.44/3.81 # System time : 0.028 s
% 18.44/3.81 # Total time : 1.328 s
% 18.44/3.81 # ...preprocessing : 0.161 s
% 18.44/3.81 # ...main loop : 1.168 s
% 18.44/3.81 # Maximum resident set size: 52392 pages
% 18.44/3.81
%------------------------------------------------------------------------------