%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV568+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 16.16s 3.40s
% Output : CNFRefutation 16.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 19
% Syntax : Number of clauses : 95 ( 17 unt; 34 nHn; 68 RR)
% Number of literals : 211 ( 21 equ; 71 neg)
% Maximal clause size : 5 ( 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 : 159 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_73,plain,
( X1 = X2
| ~ mem(X1,s(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_73) ).
cnf(i_0_32,plain,
( mem(esk8_1(X1),X1)
| ~ atleast2p(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_32) ).
cnf(i_0_75,plain,
( subq(X1,X2)
| ~ mem(esk17_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_75) ).
cnf(i_0_70,plain,
( mem(X1,p(X2))
| ~ subq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_70) ).
cnf(i_0_76,plain,
( subq(X1,X2)
| mem(esk17_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_76) ).
cnf(i_0_31,plain,
( ~ atleast2p(X1)
| ~ subq(X1,p(esk8_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_31) ).
cnf(i_0_64,plain,
~ mem(X1,e),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_64) ).
cnf(i_0_72,plain,
( mem(X1,s(X2))
| X1 != X2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_72) ).
cnf(i_0_74,plain,
( X1 = X2
| ~ subq(X2,X1)
| ~ subq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_74) ).
cnf(i_0_71,plain,
( subq(X1,X2)
| ~ mem(X1,p(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_71) ).
cnf(i_0_30,plain,
( atleast2p(X1)
| subq(X1,p(X2))
| ~ mem(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_30) ).
cnf(i_0_78,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_78) ).
cnf(i_0_77,plain,
( mem(X1,X2)
| ~ subq(X3,X2)
| ~ mem(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_77) ).
cnf(i_0_79,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_79) ).
cnf(i_0_69,negated_conjecture,
subq(u(u(s(s(u(e,s(e)))),s(p(s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e)))))),u(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(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_69) ).
cnf(i_0_80,plain,
( mem(X1,X2)
| mem(X1,X3)
| ~ mem(X1,u(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_80) ).
cnf(i_0_61,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_61) ).
cnf(i_0_62,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_62) ).
cnf(i_0_63,plain,
( ~ mem(X1,X2)
| ~ mem(X1,X3)
| ~ disj(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-crnueu1c/input.p',i_0_63) ).
cnf(c_0_100,plain,
( X1 = X2
| ~ mem(X1,s(X2)) ),
i_0_73 ).
cnf(c_0_101,plain,
( mem(esk8_1(X1),X1)
| ~ atleast2p(X1) ),
i_0_32 ).
cnf(c_0_102,plain,
( subq(X1,X2)
| ~ mem(esk17_2(X1,X2),X2) ),
i_0_75 ).
cnf(c_0_103,plain,
( mem(X1,p(X2))
| ~ subq(X1,X2) ),
i_0_70 ).
cnf(c_0_104,plain,
( subq(X1,X2)
| mem(esk17_2(X1,X2),X1) ),
i_0_76 ).
cnf(c_0_105,plain,
( ~ atleast2p(X1)
| ~ subq(X1,p(esk8_1(X1))) ),
i_0_31 ).
cnf(c_0_106,plain,
( esk8_1(s(X1)) = X1
| ~ atleast2p(s(X1)) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_107,plain,
( subq(X1,p(X2))
| ~ subq(esk17_2(X1,p(X2)),X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
( esk17_2(s(X1),X2) = X1
| subq(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_104]) ).
cnf(c_0_109,plain,
~ mem(X1,e),
i_0_64 ).
cnf(c_0_110,plain,
( mem(X1,s(X2))
| X1 != X2 ),
i_0_72 ).
cnf(c_0_111,plain,
( ~ atleast2p(s(X1))
| ~ subq(s(X1),p(X1)) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_112,plain,
( subq(s(X1),p(X2))
| ~ subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,plain,
subq(X1,X1),
inference(spm,[status(thm)],[c_0_102,c_0_104]) ).
cnf(c_0_114,plain,
( X1 = X2
| ~ subq(X2,X1)
| ~ subq(X1,X2) ),
i_0_74 ).
cnf(c_0_115,plain,
subq(e,X1),
inference(spm,[status(thm)],[c_0_109,c_0_104]) ).
cnf(c_0_116,plain,
( subq(X1,X2)
| ~ mem(X1,p(X2)) ),
i_0_71 ).
cnf(c_0_117,plain,
( atleast2p(X1)
| subq(X1,p(X2))
| ~ mem(X2,X1) ),
i_0_30 ).
cnf(c_0_118,plain,
mem(X1,s(X1)),
inference(er,[status(thm)],[c_0_110]) ).
cnf(c_0_119,plain,
~ atleast2p(s(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]) ).
cnf(c_0_120,plain,
( X1 = e
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_121,plain,
( subq(esk17_2(p(X1),X2),X1)
| subq(p(X1),X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_104]) ).
cnf(c_0_122,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X3) ),
i_0_78 ).
cnf(c_0_123,plain,
subq(s(X1),p(X1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).
cnf(c_0_124,plain,
( esk17_2(p(e),X1) = e
| subq(p(e),X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( mem(X1,X2)
| ~ subq(X3,X2)
| ~ mem(X1,X3) ),
i_0_77 ).
cnf(c_0_126,plain,
( subq(X1,u(X2,X3))
| ~ mem(esk17_2(X1,u(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_102,c_0_122]) ).
cnf(c_0_127,plain,
( p(X1) = s(X1)
| ~ subq(p(X1),s(X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_123]) ).
cnf(c_0_128,plain,
( subq(p(e),X1)
| ~ mem(e,X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_124]) ).
cnf(c_0_129,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X2) ),
i_0_79 ).
cnf(c_0_130,plain,
( mem(esk17_2(X1,X2),X3)
| subq(X1,X2)
| ~ subq(X1,X3) ),
inference(spm,[status(thm)],[c_0_125,c_0_104]) ).
cnf(c_0_131,plain,
subq(X1,u(X2,X1)),
inference(spm,[status(thm)],[c_0_126,c_0_104]) ).
cnf(c_0_132,plain,
p(e) = s(e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_118])]) ).
cnf(c_0_133,plain,
( mem(X1,X2)
| ~ mem(X1,X3)
| ~ subq(u(X4,X3),X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_122]) ).
cnf(c_0_134,negated_conjecture,
subq(u(u(s(s(u(e,s(e)))),s(p(s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e)))))),u(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(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_135,plain,
( subq(X1,u(X2,X3))
| ~ mem(esk17_2(X1,u(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_129]) ).
cnf(c_0_136,plain,
( mem(esk17_2(X1,X2),u(X3,X1))
| subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_137,plain,
( mem(X1,X2)
| mem(X1,X3)
| ~ mem(X1,u(X3,X2)) ),
i_0_80 ).
cnf(c_0_138,plain,
( mem(X1,X2)
| ~ subq(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_118]) ).
cnf(c_0_139,plain,
( subq(s(e),X1)
| ~ mem(e,X1) ),
inference(rw,[status(thm)],[c_0_128,c_0_132]) ).
cnf(c_0_140,negated_conjecture,
( mem(X1,u(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e)))))),u(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(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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_133,c_0_134]) ).
cnf(c_0_141,plain,
( subq(X1,u(X2,u(X3,X4)))
| ~ mem(esk17_2(X1,u(X2,u(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_129]) ).
cnf(c_0_142,plain,
subq(X1,u(u(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_143,plain,
( mem(X1,X2)
| mem(X1,X3)
| ~ subq(s(X1),u(X2,X3)) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_144,plain,
( subq(s(e),u(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e)))))),u(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(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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_139,c_0_140]) ).
cnf(c_0_145,plain,
( subq(X1,u(X2,u(u(X3,X4),X5)))
| ~ mem(esk17_2(X1,u(X2,u(u(X3,X4),X5))),X3) ),
inference(spm,[status(thm)],[c_0_141,c_0_129]) ).
cnf(c_0_146,plain,
( mem(esk17_2(X1,X2),u(u(X3,X1),X4))
| subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_142]) ).
cnf(c_0_147,plain,
( mem(e,u(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(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(e,u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e)))))))
| ~ mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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_143,c_0_144]) ).
cnf(c_0_148,plain,
subq(X1,u(X2,u(u(u(u(X3,X1),X4),X5),X6))),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_149,plain,
( mem(e,u(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(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(e,u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e))))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_138]),c_0_148])]) ).
cnf(c_0_150,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X2) ),
i_0_61 ).
cnf(c_0_151,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X1) ),
i_0_62 ).
cnf(c_0_152,plain,
( mem(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(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(e,u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e))))))) ),
inference(spm,[status(thm)],[c_0_137,c_0_149]) ).
cnf(c_0_153,plain,
( disj(X1,p(X2))
| subq(esk16_2(X1,p(X2)),X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_150]) ).
cnf(c_0_154,plain,
( esk16_2(s(X1),X2) = X1
| disj(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_151]) ).
cnf(c_0_155,plain,
( mem(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(e,u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e)))))))
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(u(e,s(e)),s(u(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_137,c_0_152]) ).
cnf(c_0_156,plain,
( disj(s(X1),p(X2))
| subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_157,plain,
( u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e
| mem(e,u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e)))))))
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(u(e,s(e)),s(u(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_100,c_0_155]) ).
cnf(c_0_158,plain,
( ~ mem(X1,X2)
| ~ mem(X1,X3)
| ~ disj(X3,X2) ),
i_0_63 ).
cnf(c_0_159,plain,
( disj(s(X1),s(e))
| subq(X1,e) ),
inference(spm,[status(thm)],[c_0_156,c_0_132]) ).
cnf(c_0_160,plain,
( mem(X1,X2)
| ~ subq(p(X3),X2)
| ~ subq(X1,X3) ),
inference(spm,[status(thm)],[c_0_125,c_0_103]) ).
cnf(c_0_161,plain,
( u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| mem(e,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(e,s(p(s(u(e,s(e)))))) ),
inference(spm,[status(thm)],[c_0_137,c_0_157]) ).
cnf(c_0_162,plain,
~ subq(s(X1),e),
inference(spm,[status(thm)],[c_0_109,c_0_138]) ).
cnf(c_0_163,plain,
( subq(X1,e)
| ~ mem(X2,s(e))
| ~ mem(X2,s(X1)) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_164,plain,
( mem(X1,X2)
| ~ subq(s(e),X2)
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_160,c_0_132]) ).
cnf(c_0_165,plain,
( mem(e,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(e,s(p(s(u(e,s(e)))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_161]),c_0_162]) ).
cnf(c_0_166,plain,
( subq(X1,e)
| ~ mem(X2,s(X1))
| ~ subq(X2,e) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_113])]) ).
cnf(c_0_167,plain,
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(e,s(p(s(u(e,s(e))))))
| mem(e,s(s(u(e,s(e)))))
| mem(e,s(u(e,s(e)))) ),
inference(spm,[status(thm)],[c_0_137,c_0_165]) ).
cnf(c_0_168,plain,
( mem(e,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(e,s(p(s(u(e,s(e))))))
| mem(e,s(s(u(e,s(e)))))
| mem(e,s(u(e,s(e)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_115])]),c_0_162]) ).
cnf(c_0_169,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = e
| mem(e,s(p(s(u(e,s(e))))))
| mem(e,s(s(u(e,s(e)))))
| mem(e,s(u(e,s(e)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_168]) ).
cnf(c_0_170,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = e
| p(s(u(e,s(e)))) = e
| mem(e,s(s(u(e,s(e)))))
| mem(e,s(u(e,s(e)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_169]) ).
cnf(c_0_171,plain,
( p(s(u(e,s(e)))) = e
| mem(e,s(s(u(e,s(e)))))
| mem(e,s(u(e,s(e)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_170]),c_0_162]) ).
cnf(c_0_172,plain,
( p(s(u(e,s(e)))) = e
| mem(e,s(u(e,s(e)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_171]),c_0_115])]),c_0_162]) ).
cnf(c_0_173,plain,
mem(e,s(u(e,s(e)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_172]),c_0_162]) ).
cnf(c_0_174,plain,
u(e,s(e)) = e,
inference(spm,[status(thm)],[c_0_100,c_0_173]) ).
cnf(c_0_175,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_174]),c_0_162]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV568+1 : TPTP v9.1.0. Released v9.1.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Mar 31 12:38:24 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 16.16/3.40 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 16.16/3.40 # Version: 2.1pre011
% 16.16/3.40 # Preprocessing time : 0.130 s
% 16.16/3.40
% 16.16/3.40 # Proof found!
% 16.16/3.40 # SZS status Theorem
% 16.16/3.40 # SZS output start CNFRefutation
% See solution above
% 16.16/3.40 # Proof object total steps : 95
% 16.16/3.40 # Proof object clause steps : 76
% 16.16/3.40 # Proof object formula steps : 19
% 16.16/3.40 # Proof object conjectures : 3
% 16.16/3.40 # Proof object clause conjectures : 2
% 16.16/3.40 # Proof object formula conjectures : 1
% 16.16/3.40 # Proof object initial clauses used : 19
% 16.16/3.40 # Proof object initial formulas used : 19
% 16.16/3.40 # Proof object generating inferences : 55
% 16.16/3.40 # Proof object simplifying inferences : 21
% 16.16/3.40 # Training examples: 0 positive, 0 negative
% 16.16/3.40 # Parsed axioms : 78
% 16.16/3.40 # Removed by relevancy pruning/SinE : 0
% 16.16/3.40 # Initial clauses : 78
% 16.16/3.40 # Removed in clause preprocessing : 0
% 16.16/3.40 # Initial clauses in saturation : 78
% 16.16/3.40 # Processed clauses : 3877
% 16.16/3.40 # ...of these trivial : 57
% 16.16/3.40 # ...subsumed : 1669
% 16.16/3.40 # ...remaining for further processing : 2151
% 16.16/3.40 # Other redundant clauses eliminated : 1
% 16.16/3.40 # Clauses deleted for lack of memory : 0
% 16.16/3.40 # Backward-subsumed : 133
% 16.16/3.40 # Backward-rewritten : 431
% 16.16/3.40 # Generated clauses : 50602
% 16.16/3.40 # ...of the previous two non-trivial : 47783
% 16.16/3.40 # Contextual simplify-reflections : 460
% 16.16/3.40 # Paramodulations : 50544
% 16.16/3.40 # Factorizations : 46
% 16.16/3.40 # Equation resolutions : 1
% 16.16/3.40 # Propositional unsat checks : 0
% 16.16/3.40 # Propositional unsat check successes : 0
% 16.16/3.40 # Current number of processed clauses : 1575
% 16.16/3.40 # Positive orientable unit clauses : 103
% 16.16/3.40 # Positive unorientable unit clauses: 0
% 16.16/3.40 # Negative unit clauses : 40
% 16.16/3.40 # Non-unit-clauses : 1432
% 16.16/3.40 # Current number of unprocessed clauses: 27596
% 16.16/3.40 # ...number of literals in the above : 75658
% 16.16/3.40 # Current number of archived formulas : 0
% 16.16/3.40 # Current number of archived clauses : 575
% 16.16/3.40 # Clause-clause subsumption calls (NU) : 238038
% 16.16/3.40 # Rec. Clause-clause subsumption calls : 152859
% 16.16/3.40 # Non-unit clause-clause subsumptions : 1132
% 16.16/3.40 # Unit Clause-clause subsumption calls : 11279
% 16.16/3.40 # Rewrite failures with RHS unbound : 0
% 16.16/3.40 # BW rewrite match attempts : 1464
% 16.16/3.40 # BW rewrite match successes : 28
% 16.16/3.40 # Condensation attempts : 0
% 16.16/3.40 # Condensation successes : 0
% 16.16/3.40 # Termbank termtop insertions : 1155607
% 16.16/3.40
% 16.16/3.40 # -------------------------------------------------
% 16.16/3.40 # User time : 0.915 s
% 16.16/3.40 # System time : 0.026 s
% 16.16/3.40 # Total time : 0.941 s
% 16.16/3.40 # ...preprocessing : 0.130 s
% 16.16/3.40 # ...main loop : 0.811 s
% 16.16/3.40 # Maximum resident set size: 41092 pages
% 16.16/3.40
%------------------------------------------------------------------------------