%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV539+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 02:00:56 AM UTC 2025
% Result : Theorem 110.97s 15.32s
% Output : CNFRefutation 110.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 22
% Syntax : Number of clauses : 131 ( 26 unt; 49 nHn; 76 RR)
% Number of literals : 270 ( 36 equ; 99 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 247 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_73,plain,
( X1 = X2
| ~ mem(X1,s(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_73) ).
cnf(i_0_62,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_62) ).
cnf(i_0_63,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_63) ).
cnf(i_0_64,plain,
( ~ mem(X1,X2)
| ~ mem(X1,X3)
| ~ disj(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_64) ).
cnf(i_0_32,plain,
( mem(esk8_1(X1),X1)
| ~ atleast2p(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_32) ).
cnf(i_0_70,plain,
( mem(X1,p(X2))
| ~ subq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_70) ).
cnf(i_0_75,plain,
( subq(X1,X2)
| ~ mem(esk17_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_75) ).
cnf(i_0_76,plain,
( subq(X1,X2)
| mem(esk17_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_76) ).
cnf(i_0_72,plain,
( mem(X1,s(X2))
| X1 != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_72) ).
cnf(i_0_65,plain,
~ mem(X1,e),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_65) ).
cnf(i_0_30,plain,
( atleast2p(X1)
| subq(X1,p(X2))
| ~ mem(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_30) ).
cnf(i_0_74,plain,
( X1 = X2
| ~ subq(X2,X1)
| ~ subq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_74) ).
cnf(i_0_71,plain,
( subq(X1,X2)
| ~ mem(X1,p(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_71) ).
cnf(i_0_77,plain,
( mem(X1,X2)
| ~ subq(X3,X2)
| ~ mem(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_77) ).
cnf(i_0_80,plain,
( mem(X1,X2)
| mem(X1,X3)
| ~ mem(X1,u(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_80) ).
cnf(i_0_78,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_78) ).
cnf(i_0_67,plain,
( ~ mem(X1,X2)
| ~ mem(X1,m(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_67) ).
cnf(i_0_79,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_79) ).
cnf(i_0_34,plain,
( atleast3p(X1)
| subq(X1,X2)
| ~ atleast2p(X2)
| ~ subq(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_34) ).
cnf(i_0_68,plain,
( mem(X1,X2)
| ~ mem(X1,m(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_68) ).
cnf(i_0_33,negated_conjecture,
~ atleast3p(u(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),p(s(u(u(e,s(e)),s(u(e,s(e)))))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_33) ).
cnf(i_0_66,plain,
( mem(X1,X2)
| mem(X1,m(X3,X2))
| ~ mem(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnaba0ob/lgb.p',i_0_66) ).
cnf(c_0_103,plain,
( X1 = X2
| ~ mem(X1,s(X2)) ),
i_0_73 ).
cnf(c_0_104,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X2) ),
i_0_62 ).
cnf(c_0_105,plain,
( disj(X1,X2)
| mem(esk16_2(X1,X2),X1) ),
i_0_63 ).
cnf(c_0_106,plain,
( esk16_2(X1,s(X2)) = X2
| disj(X1,s(X2)) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,plain,
( ~ mem(X1,X2)
| ~ mem(X1,X3)
| ~ disj(X3,X2) ),
i_0_64 ).
cnf(c_0_108,plain,
( disj(X1,s(X2))
| mem(X2,X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,plain,
( mem(X1,X2)
| ~ mem(X3,s(X1))
| ~ mem(X3,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,plain,
( mem(esk8_1(X1),X1)
| ~ atleast2p(X1) ),
i_0_32 ).
cnf(c_0_111,plain,
( mem(X1,X2)
| ~ atleast2p(s(X1))
| ~ mem(esk8_1(s(X1)),X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_112,plain,
( mem(X1,p(X2))
| ~ subq(X1,X2) ),
i_0_70 ).
cnf(c_0_113,plain,
( subq(X1,X2)
| ~ mem(esk17_2(X1,X2),X2) ),
i_0_75 ).
cnf(c_0_114,plain,
( subq(X1,X2)
| mem(esk17_2(X1,X2),X1) ),
i_0_76 ).
cnf(c_0_115,plain,
( mem(X1,p(X2))
| ~ atleast2p(s(X1))
| ~ subq(esk8_1(s(X1)),X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_116,plain,
subq(X1,X1),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_117,plain,
( mem(X1,s(X2))
| X1 != X2 ),
i_0_72 ).
cnf(c_0_118,plain,
~ mem(X1,e),
i_0_65 ).
cnf(c_0_119,plain,
( esk17_2(s(X1),X2) = X1
| subq(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_114]) ).
cnf(c_0_120,plain,
( mem(X1,p(esk8_1(s(X1))))
| ~ atleast2p(s(X1)) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_121,plain,
( esk8_1(s(X1)) = X1
| ~ atleast2p(s(X1)) ),
inference(spm,[status(thm)],[c_0_103,c_0_110]) ).
cnf(c_0_122,plain,
( atleast2p(X1)
| subq(X1,p(X2))
| ~ mem(X2,X1) ),
i_0_30 ).
cnf(c_0_123,plain,
mem(X1,s(X1)),
inference(er,[status(thm)],[c_0_117]) ).
cnf(c_0_124,plain,
( X1 = X2
| ~ subq(X2,X1)
| ~ subq(X1,X2) ),
i_0_74 ).
cnf(c_0_125,plain,
subq(e,X1),
inference(spm,[status(thm)],[c_0_118,c_0_114]) ).
cnf(c_0_126,plain,
( subq(X1,X2)
| ~ mem(X1,p(X2)) ),
i_0_71 ).
cnf(c_0_127,plain,
( subq(s(X1),X2)
| ~ mem(X1,X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_119]) ).
cnf(c_0_128,plain,
( mem(X1,p(X1))
| ~ atleast2p(s(X1)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_129,plain,
( atleast2p(s(X1))
| subq(s(X1),p(X1)) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_130,plain,
( X1 = e
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,plain,
( subq(esk17_2(p(X1),X2),X1)
| subq(p(X1),X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_114]) ).
cnf(c_0_132,plain,
subq(s(X1),p(X1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_133,plain,
( esk17_2(p(e),X1) = e
| subq(p(e),X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_134,plain,
( p(X1) = s(X1)
| ~ subq(p(X1),s(X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_132]) ).
cnf(c_0_135,plain,
( subq(p(e),X1)
| ~ mem(e,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_133]) ).
cnf(c_0_136,plain,
( disj(X1,p(X2))
| subq(esk16_2(X1,p(X2)),X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_104]) ).
cnf(c_0_137,plain,
p(e) = s(e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_123])]) ).
cnf(c_0_138,plain,
( mem(X1,X2)
| ~ subq(X3,X2)
| ~ mem(X1,X3) ),
i_0_77 ).
cnf(c_0_139,plain,
( disj(X1,s(e))
| subq(esk16_2(X1,s(e)),e) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,plain,
( atleast2p(p(X1))
| subq(p(X1),p(X2))
| ~ subq(X2,X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_112]) ).
cnf(c_0_141,plain,
( disj(X1,s(e))
| ~ mem(X2,esk16_2(X1,s(e))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_118]) ).
cnf(c_0_142,plain,
( esk16_2(s(X1),X2) = X1
| disj(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_105]) ).
cnf(c_0_143,plain,
( atleast2p(p(X1))
| subq(p(X1),p(e)) ),
inference(spm,[status(thm)],[c_0_140,c_0_125]) ).
cnf(c_0_144,plain,
( disj(s(X1),s(e))
| ~ mem(X2,X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_145,plain,
( atleast2p(p(X1))
| mem(X2,p(e))
| ~ mem(X2,p(X1)) ),
inference(spm,[status(thm)],[c_0_138,c_0_143]) ).
cnf(c_0_146,plain,
disj(s(s(X1)),s(e)),
inference(spm,[status(thm)],[c_0_144,c_0_123]) ).
cnf(c_0_147,plain,
( atleast2p(p(X1))
| mem(X2,p(e))
| ~ subq(X2,X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_112]) ).
cnf(c_0_148,plain,
( ~ mem(X1,s(s(X2)))
| ~ mem(X1,s(e)) ),
inference(spm,[status(thm)],[c_0_107,c_0_146]) ).
cnf(c_0_149,plain,
( mem(X1,X2)
| mem(X1,X3)
| ~ mem(X1,u(X3,X2)) ),
i_0_80 ).
cnf(c_0_150,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X3) ),
i_0_78 ).
cnf(c_0_151,plain,
( atleast2p(p(X1))
| mem(X2,s(e))
| ~ subq(X2,X1) ),
inference(rw,[status(thm)],[c_0_147,c_0_137]) ).
cnf(c_0_152,plain,
( subq(s(esk17_2(X1,X2)),X1)
| subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_114]) ).
cnf(c_0_153,plain,
~ mem(s(X1),s(e)),
inference(spm,[status(thm)],[c_0_148,c_0_123]) ).
cnf(c_0_154,plain,
( subq(u(X1,X2),X3)
| mem(esk17_2(u(X1,X2),X3),X2)
| mem(esk17_2(u(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_114]) ).
cnf(c_0_155,plain,
( subq(X1,u(X2,X3))
| ~ mem(esk17_2(X1,u(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_113,c_0_150]) ).
cnf(c_0_156,plain,
( atleast2p(p(X1))
| subq(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
cnf(c_0_157,plain,
( ~ mem(X1,X2)
| ~ mem(X1,m(X3,X2)) ),
i_0_67 ).
cnf(c_0_158,plain,
( subq(u(e,X1),X2)
| mem(esk17_2(u(e,X1),X2),X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_154]) ).
cnf(c_0_159,plain,
( mem(X1,u(X2,X3))
| ~ mem(X1,X2) ),
i_0_79 ).
cnf(c_0_160,plain,
( atleast3p(X1)
| subq(X1,X2)
| ~ atleast2p(X2)
| ~ subq(X2,X1) ),
i_0_34 ).
cnf(c_0_161,plain,
subq(X1,u(X2,X1)),
inference(spm,[status(thm)],[c_0_155,c_0_114]) ).
cnf(c_0_162,plain,
( X1 = X2
| atleast2p(p(X2))
| ~ subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_156]) ).
cnf(c_0_163,plain,
( subq(m(X1,X2),X3)
| ~ mem(esk17_2(m(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_157,c_0_114]) ).
cnf(c_0_164,plain,
( mem(X1,X2)
| ~ mem(X1,m(X2,X3)) ),
i_0_68 ).
cnf(c_0_165,plain,
subq(u(e,X1),X1),
inference(spm,[status(thm)],[c_0_113,c_0_158]) ).
cnf(c_0_166,plain,
( subq(X1,u(X2,X3))
| ~ mem(esk17_2(X1,u(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_159]) ).
cnf(c_0_167,plain,
( subq(u(X1,X2),u(X3,X1))
| mem(esk17_2(u(X1,X2),u(X3,X1)),X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_154]) ).
cnf(c_0_168,plain,
( subq(u(X1,X2),X2)
| atleast3p(u(X1,X2))
| ~ atleast2p(X2) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_169,plain,
( e = X1
| atleast2p(p(X1)) ),
inference(spm,[status(thm)],[c_0_162,c_0_125]) ).
cnf(c_0_170,plain,
( subq(m(X1,u(X2,X3)),X4)
| ~ mem(esk17_2(m(X1,u(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_163,c_0_159]) ).
cnf(c_0_171,plain,
( subq(m(X1,X2),X3)
| mem(esk17_2(m(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_114]) ).
cnf(c_0_172,negated_conjecture,
~ atleast3p(u(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),p(s(u(u(e,s(e)),s(u(e,s(e)))))))),
i_0_33 ).
cnf(c_0_173,plain,
u(e,X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_165]),c_0_161])]) ).
cnf(c_0_174,plain,
subq(u(X1,X2),u(X2,X1)),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_175,plain,
( e = X1
| subq(u(X2,p(X1)),p(X1))
| atleast3p(u(X2,p(X1))) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_176,plain,
( mem(X1,X2)
| mem(X1,m(X3,X2))
| ~ mem(X1,X3) ),
i_0_66 ).
cnf(c_0_177,plain,
subq(m(X1,u(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_178,plain,
( subq(m(X1,u(X2,X3)),X4)
| ~ mem(esk17_2(m(X1,u(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_163,c_0_150]) ).
cnf(c_0_179,negated_conjecture,
~ atleast3p(u(u(u(s(s(e)),s(s(s(e)))),s(u(s(s(e)),s(s(s(e)))))),p(s(u(s(e),s(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)],[c_0_172,c_0_173]),c_0_173]),c_0_173]),c_0_173]),c_0_173]),c_0_173]) ).
cnf(c_0_180,plain,
u(X1,X2) = u(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_174]),c_0_174])]) ).
cnf(c_0_181,plain,
( u(X1,p(X2)) = p(X2)
| e = X2
| atleast3p(u(X1,p(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_175]),c_0_161])]) ).
cnf(c_0_182,plain,
( disj(X1,X2)
| subq(s(esk16_2(X1,X2)),X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_105]) ).
cnf(c_0_183,plain,
( mem(X1,m(s(X1),X2))
| mem(X1,X2) ),
inference(spm,[status(thm)],[c_0_176,c_0_123]) ).
cnf(c_0_184,plain,
m(X1,u(X1,X2)) = e,
inference(spm,[status(thm)],[c_0_130,c_0_177]) ).
cnf(c_0_185,plain,
subq(m(X1,u(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_178,c_0_171]) ).
cnf(c_0_186,negated_conjecture,
~ atleast3p(u(p(s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(s(e)),s(s(s(e)))))))),
inference(rw,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_187,plain,
( u(p(X1),X2) = p(X1)
| e = X1
| atleast3p(u(p(X1),X2)) ),
inference(spm,[status(thm)],[c_0_181,c_0_180]) ).
cnf(c_0_188,plain,
( disj(X1,s(X2))
| subq(s(X2),X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_106]) ).
cnf(c_0_189,plain,
( mem(X1,m(u(X2,X3),X4))
| mem(X1,X4)
| ~ mem(X1,X2) ),
inference(spm,[status(thm)],[c_0_176,c_0_159]) ).
cnf(c_0_190,plain,
mem(X1,u(s(X1),X2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_118]) ).
cnf(c_0_191,plain,
m(X1,u(X2,X1)) = e,
inference(spm,[status(thm)],[c_0_130,c_0_185]) ).
cnf(c_0_192,negated_conjecture,
( u(p(s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(s(e)),s(s(s(e))))))) = p(s(u(s(e),s(s(e)))))
| s(u(s(e),s(s(e)))) = e ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_193,plain,
( subq(s(X1),p(X2))
| ~ subq(X1,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_112]) ).
cnf(c_0_194,plain,
( subq(s(X1),X2)
| ~ mem(X3,s(X1))
| ~ mem(X3,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_188]) ).
cnf(c_0_195,plain,
( mem(X1,s(e))
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_112,c_0_137]) ).
cnf(c_0_196,plain,
( mem(X1,m(u(u(s(X1),X2),X3),X4))
| mem(X1,X4) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_197,plain,
( m(u(u(s(s(e)),s(s(s(e)))),s(u(s(s(e)),s(s(s(e)))))),p(s(u(s(e),s(s(e)))))) = e
| s(u(s(e),s(s(e)))) = e ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_198,plain,
( disj(s(u(X1,X2)),s(e))
| ~ mem(X3,X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_159]) ).
cnf(c_0_199,plain,
( p(X1) = s(X2)
| ~ subq(p(X1),s(X2))
| ~ subq(X2,X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_193]) ).
cnf(c_0_200,plain,
( subq(s(e),X1)
| ~ subq(X2,e)
| ~ mem(X2,X1) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_201,plain,
( s(u(s(e),s(s(e)))) = e
| mem(s(e),p(s(u(s(e),s(s(e)))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_118]) ).
cnf(c_0_202,plain,
disj(s(u(s(X1),X2)),s(e)),
inference(spm,[status(thm)],[c_0_198,c_0_123]) ).
cnf(c_0_203,plain,
( s(e) = s(X1)
| ~ subq(s(e),s(X1))
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_199,c_0_137]) ).
cnf(c_0_204,plain,
( subq(s(e),s(X1))
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_200,c_0_123]) ).
cnf(c_0_205,plain,
( s(u(s(e),s(s(e)))) = e
| subq(s(e),s(u(s(e),s(s(e))))) ),
inference(spm,[status(thm)],[c_0_126,c_0_201]) ).
cnf(c_0_206,plain,
( ~ mem(X1,s(u(s(X2),X3)))
| ~ mem(X1,s(e)) ),
inference(spm,[status(thm)],[c_0_107,c_0_202]) ).
cnf(c_0_207,plain,
( s(e) = s(X1)
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_208,plain,
( s(u(s(e),s(s(e)))) = e
| ~ mem(X1,s(e)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_205]),c_0_206]) ).
cnf(c_0_209,plain,
( mem(e,s(X1))
| ~ subq(X1,e) ),
inference(spm,[status(thm)],[c_0_123,c_0_207]) ).
cnf(c_0_210,plain,
s(u(s(e),s(s(e)))) = e,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_125])]) ).
cnf(c_0_211,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_210]),c_0_118]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV539+1 : TPTP v9.1.0. Released v9.1.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Mar 31 11:19:35 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected SinE mode:
% 0.17/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.17/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.17/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 110.97/15.32 # ENIGMATIC: Solved by autoschedule-lgb:
% 110.97/15.32 # No SInE strategy applied
% 110.97/15.32 # Trying AutoSched0 for 150 seconds
% 110.97/15.32 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 110.97/15.32 # and selection function SelectComplexExceptUniqMaxHorn.
% 110.97/15.32 #
% 110.97/15.32 # Preprocessing time : 0.025 s
% 110.97/15.32 # Presaturation interreduction done
% 110.97/15.32
% 110.97/15.32 # Proof found!
% 110.97/15.32 # SZS status Theorem
% 110.97/15.32 # SZS output start CNFRefutation
% See solution above
% 110.97/15.32 # Training examples: 0 positive, 0 negative
% 110.97/15.32
% 110.97/15.32 # -------------------------------------------------
% 110.97/15.32 # User time : 12.593 s
% 110.97/15.32 # System time : 0.391 s
% 110.97/15.32 # Total time : 12.985 s
% 110.97/15.32 # Maximum resident set size: 7120 pages
% 110.97/15.32
%------------------------------------------------------------------------------