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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEV566+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 16.70s 3.47s
% Output   : CNFRefutation 16.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   97 (  20 unt;  36 nHn;  66 RR)
%            Number of literals    :  199 (  20 equ;  66 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :  164 (  24 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_75,plain,
    ( subq(X1,X2)
    | ~ mem(esk17_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_75) ).

cnf(i_0_79,plain,
    ( mem(X1,u(X2,X3))
    | ~ mem(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/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-om_tuyxc/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-om_tuyxc/input.p',i_0_76) ).

cnf(i_0_65,plain,
    ( mem(X1,X2)
    | mem(X1,m(X3,X2))
    | ~ mem(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_65) ).

cnf(i_0_70,plain,
    ( mem(X1,p(X2))
    | ~ subq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_70) ).

cnf(i_0_66,plain,
    ( ~ mem(X1,X2)
    | ~ mem(X1,m(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_66) ).

cnf(i_0_69,negated_conjecture,
    subq(u(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(p(s(u(e,s(e)))),s(p(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(e,s(e))),u(p(s(u(e,s(e)))),s(p(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-om_tuyxc/input.p',i_0_69) ).

cnf(i_0_64,plain,
    ~ mem(X1,e),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_64) ).

cnf(i_0_67,plain,
    ( mem(X1,X2)
    | ~ mem(X1,m(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_67) ).

cnf(i_0_72,plain,
    ( mem(X1,s(X2))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_72) ).

cnf(i_0_74,plain,
    ( X1 = X2
    | ~ subq(X2,X1)
    | ~ subq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_74) ).

cnf(i_0_80,plain,
    ( mem(X1,X2)
    | mem(X1,X3)
    | ~ mem(X1,u(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_80) ).

cnf(i_0_73,plain,
    ( X1 = X2
    | ~ mem(X1,s(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/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-om_tuyxc/input.p',i_0_32) ).

cnf(i_0_31,plain,
    ( ~ atleast2p(X1)
    | ~ subq(X1,p(esk8_1(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_31) ).

cnf(i_0_30,plain,
    ( atleast2p(X1)
    | subq(X1,p(X2))
    | ~ mem(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_30) ).

cnf(i_0_78,plain,
    ( mem(X1,u(X2,X3))
    | ~ mem(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_78) ).

cnf(i_0_71,plain,
    ( subq(X1,X2)
    | ~ mem(X1,p(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-om_tuyxc/input.p',i_0_71) ).

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,X2) ),
    i_0_79 ).

cnf(c_0_102,plain,
    ( mem(X1,X2)
    | ~ subq(X3,X2)
    | ~ mem(X1,X3) ),
    i_0_77 ).

cnf(c_0_103,plain,
    ( subq(X1,X2)
    | mem(esk17_2(X1,X2),X1) ),
    i_0_76 ).

cnf(c_0_104,plain,
    ( subq(X1,u(X2,X3))
    | ~ mem(esk17_2(X1,u(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_105,plain,
    ( mem(esk17_2(X1,X2),X3)
    | subq(X1,X2)
    | ~ subq(X1,X3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_106,plain,
    subq(X1,u(X1,X2)),
    inference(spm,[status(thm)],[c_0_104,c_0_103]) ).

cnf(c_0_107,plain,
    ( mem(X1,X2)
    | mem(X1,m(X3,X2))
    | ~ mem(X1,X3) ),
    i_0_65 ).

cnf(c_0_108,plain,
    ( mem(X1,p(X2))
    | ~ subq(X1,X2) ),
    i_0_70 ).

cnf(c_0_109,plain,
    ( mem(esk17_2(X1,X2),u(X1,X3))
    | subq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_110,plain,
    ( ~ mem(X1,X2)
    | ~ mem(X1,m(X3,X2)) ),
    i_0_66 ).

cnf(c_0_111,plain,
    ( mem(X1,m(p(X2),X3))
    | mem(X1,X3)
    | ~ subq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_112,plain,
    ( mem(esk17_2(X1,X2),X3)
    | subq(X1,X2)
    | ~ subq(u(X1,X4),X3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_109]) ).

cnf(c_0_113,negated_conjecture,
    subq(u(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(p(s(u(e,s(e)))),s(p(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(e,s(e))),u(p(s(u(e,s(e)))),s(p(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_114,plain,
    ~ mem(X1,e),
    i_0_64 ).

cnf(c_0_115,plain,
    ( subq(m(X1,X2),X3)
    | ~ mem(esk17_2(m(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_103]) ).

cnf(c_0_116,plain,
    ( mem(X1,X2)
    | ~ mem(X1,m(X2,X3)) ),
    i_0_67 ).

cnf(c_0_117,plain,
    ( mem(X1,m(p(u(X1,X2)),X3))
    | mem(X1,X3) ),
    inference(spm,[status(thm)],[c_0_111,c_0_106]) ).

cnf(c_0_118,negated_conjecture,
    ( mem(esk17_2(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(p(s(u(e,s(e)))),s(p(s(u(e,s(e))))))),X1),u(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(e,s(e))),u(p(s(u(e,s(e)))),s(p(s(u(e,s(e)))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
    | subq(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(p(s(u(e,s(e)))),s(p(s(u(e,s(e))))))),X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_119,plain,
    ( mem(X1,s(X2))
    | X1 != X2 ),
    i_0_72 ).

cnf(c_0_120,plain,
    ( X1 = X2
    | ~ subq(X2,X1)
    | ~ subq(X1,X2) ),
    i_0_74 ).

cnf(c_0_121,plain,
    subq(e,X1),
    inference(spm,[status(thm)],[c_0_114,c_0_103]) ).

cnf(c_0_122,plain,
    ( subq(m(X1,u(X2,X3)),X4)
    | ~ mem(esk17_2(m(X1,u(X2,X3)),X4),X2) ),
    inference(spm,[status(thm)],[c_0_115,c_0_101]) ).

cnf(c_0_123,plain,
    ( mem(esk17_2(m(X1,X2),X3),X1)
    | subq(m(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_116,c_0_103]) ).

cnf(c_0_124,plain,
    ( mem(X1,X2)
    | mem(X1,X3)
    | ~ subq(m(p(u(X1,X4)),X2),X3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_117]) ).

cnf(c_0_125,plain,
    subq(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(p(s(u(e,s(e)))),s(p(s(u(e,s(e))))))),u(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(e,s(e))),u(p(s(u(e,s(e)))),s(p(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_118]) ).

cnf(c_0_126,plain,
    mem(X1,s(X1)),
    inference(er,[status(thm)],[c_0_119]) ).

cnf(c_0_127,plain,
    ( X1 = e
    | ~ subq(X1,e) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_128,plain,
    subq(m(X1,u(X1,X2)),X3),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_129,plain,
    ( mem(X1,X2)
    | mem(X1,X3)
    | ~ mem(X1,u(X3,X2)) ),
    i_0_80 ).

cnf(c_0_130,plain,
    ( mem(u(e,s(e)),u(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(e,s(e))),u(p(s(u(e,s(e)))),s(p(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(p(s(u(e,s(e)))),s(p(s(u(e,s(e))))))) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_131,plain,
    ( mem(X1,m(s(X1),X2))
    | mem(X1,X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_126]) ).

cnf(c_0_132,plain,
    m(X1,u(X1,X2)) = e,
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_133,plain,
    ( mem(u(e,s(e)),m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(e,s(e))),u(p(s(u(e,s(e)))),s(p(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)),u(p(s(u(e,s(e)))),s(p(s(u(e,s(e))))))) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_134,plain,
    mem(X1,u(s(X1),X2)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_114]) ).

cnf(c_0_135,plain,
    ( X1 = X2
    | ~ mem(X1,s(X2)) ),
    i_0_73 ).

cnf(c_0_136,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)),u(p(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_110,c_0_133]),c_0_134])]) ).

cnf(c_0_137,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)),u(p(s(u(e,s(e)))),s(p(s(u(e,s(e))))))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_138,plain,
    ( mem(esk8_1(X1),X1)
    | ~ atleast2p(X1) ),
    i_0_32 ).

cnf(c_0_139,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(p(s(u(e,s(e))))))
    | mem(u(e,s(e)),p(s(u(e,s(e))))) ),
    inference(spm,[status(thm)],[c_0_129,c_0_137]) ).

cnf(c_0_140,plain,
    ( ~ atleast2p(X1)
    | ~ subq(X1,p(esk8_1(X1))) ),
    i_0_31 ).

cnf(c_0_141,plain,
    ( esk8_1(s(X1)) = X1
    | ~ atleast2p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_138]) ).

cnf(c_0_142,plain,
    ( subq(X1,p(X2))
    | ~ subq(esk17_2(X1,p(X2)),X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_108]) ).

cnf(c_0_143,plain,
    ( esk17_2(s(X1),X2) = X1
    | subq(s(X1),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_103]) ).

cnf(c_0_144,plain,
    ( mem(X1,X2)
    | ~ subq(s(X1),X2) ),
    inference(spm,[status(thm)],[c_0_102,c_0_126]) ).

cnf(c_0_145,plain,
    ( atleast2p(X1)
    | subq(X1,p(X2))
    | ~ mem(X2,X1) ),
    i_0_30 ).

cnf(c_0_146,plain,
    ( mem(X1,u(X2,X3))
    | ~ mem(X1,X3) ),
    i_0_78 ).

cnf(c_0_147,plain,
    ( mem(u(e,s(e)),s(p(s(u(e,s(e))))))
    | mem(u(e,s(e)),p(s(u(e,s(e)))))
    | mem(u(e,s(e)),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_134,c_0_139]) ).

cnf(c_0_148,plain,
    ( ~ atleast2p(s(X1))
    | ~ subq(s(X1),p(X1)) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_149,plain,
    ( subq(s(X1),p(X2))
    | ~ subq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_150,plain,
    subq(X1,X1),
    inference(spm,[status(thm)],[c_0_100,c_0_103]) ).

cnf(c_0_151,plain,
    ( subq(X1,X2)
    | ~ mem(X1,p(X2)) ),
    i_0_71 ).

cnf(c_0_152,plain,
    ( mem(X1,X2)
    | ~ subq(s(X1),X3)
    | ~ subq(X3,X2) ),
    inference(spm,[status(thm)],[c_0_102,c_0_144]) ).

cnf(c_0_153,plain,
    ( atleast2p(s(X1))
    | subq(s(X1),p(X1)) ),
    inference(spm,[status(thm)],[c_0_145,c_0_126]) ).

cnf(c_0_154,plain,
    ( subq(X1,u(X2,X3))
    | ~ mem(esk17_2(X1,u(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_100,c_0_146]) ).

cnf(c_0_155,plain,
    ( p(s(u(e,s(e)))) = u(e,s(e))
    | mem(u(e,s(e)),p(s(u(e,s(e)))))
    | mem(u(e,s(e)),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_147]) ).

cnf(c_0_156,plain,
    ~ atleast2p(s(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150])]) ).

cnf(c_0_157,plain,
    ( subq(esk17_2(p(X1),X2),X1)
    | subq(p(X1),X2) ),
    inference(spm,[status(thm)],[c_0_151,c_0_103]) ).

cnf(c_0_158,plain,
    ( atleast2p(s(X1))
    | mem(X1,X2)
    | ~ subq(p(X1),X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_159,plain,
    subq(X1,u(X2,X1)),
    inference(spm,[status(thm)],[c_0_154,c_0_103]) ).

cnf(c_0_160,plain,
    ( p(s(u(e,s(e)))) = u(e,s(e))
    | mem(u(e,s(e)),u(e,s(e)))
    | subq(u(e,s(e)),s(u(e,s(e)))) ),
    inference(spm,[status(thm)],[c_0_151,c_0_155]) ).

cnf(c_0_161,plain,
    subq(s(X1),p(X1)),
    inference(sr,[status(thm)],[c_0_153,c_0_156]) ).

cnf(c_0_162,plain,
    ( esk17_2(p(e),X1) = e
    | subq(p(e),X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_157]) ).

cnf(c_0_163,plain,
    ( atleast2p(s(X1))
    | mem(X1,p(X1)) ),
    inference(spm,[status(thm)],[c_0_158,c_0_150]) ).

cnf(c_0_164,plain,
    ( mem(X1,X2)
    | ~ subq(u(X3,s(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_159]) ).

cnf(c_0_165,plain,
    ( p(s(u(e,s(e)))) = u(e,s(e))
    | mem(u(e,s(e)),s(e))
    | subq(u(e,s(e)),s(u(e,s(e)))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_160]),c_0_114]) ).

cnf(c_0_166,plain,
    ( p(X1) = s(X1)
    | ~ subq(p(X1),s(X1)) ),
    inference(spm,[status(thm)],[c_0_120,c_0_161]) ).

cnf(c_0_167,plain,
    ( subq(p(e),X1)
    | ~ mem(e,X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_162]) ).

cnf(c_0_168,plain,
    mem(X1,p(X1)),
    inference(sr,[status(thm)],[c_0_163,c_0_156]) ).

cnf(c_0_169,plain,
    ( p(s(u(e,s(e)))) = u(e,s(e))
    | mem(u(e,s(e)),s(e))
    | mem(e,s(u(e,s(e)))) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_170,plain,
    p(e) = s(e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_126])]) ).

cnf(c_0_171,plain,
    ( mem(s(u(e,s(e))),u(e,s(e)))
    | mem(e,s(u(e,s(e))))
    | mem(u(e,s(e)),s(e)) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_172,plain,
    ( subq(X1,e)
    | ~ mem(X1,s(e)) ),
    inference(spm,[status(thm)],[c_0_151,c_0_170]) ).

cnf(c_0_173,plain,
    ( mem(s(u(e,s(e))),s(e))
    | mem(u(e,s(e)),s(e))
    | mem(e,s(u(e,s(e)))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_171]),c_0_114]) ).

cnf(c_0_174,plain,
    ~ subq(s(X1),e),
    inference(spm,[status(thm)],[c_0_114,c_0_144]) ).

cnf(c_0_175,plain,
    ( mem(e,s(u(e,s(e))))
    | mem(u(e,s(e)),s(e)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).

cnf(c_0_176,plain,
    u(e,s(e)) = e,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_175]),c_0_135]) ).

cnf(c_0_177,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_176]),c_0_174]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEV566+1 : TPTP v9.1.0. Released v9.1.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Mar 31 12:32:52 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.70/3.47  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 16.70/3.47  # Version: 2.1pre011
% 16.70/3.47  # Preprocessing time       : 0.104 s
% 16.70/3.47  
% 16.70/3.47  # Proof found!
% 16.70/3.47  # SZS status Theorem
% 16.70/3.47  # SZS output start CNFRefutation
% See solution above
% 16.70/3.47  # Proof object total steps             : 97
% 16.70/3.47  # Proof object clause steps            : 78
% 16.70/3.47  # Proof object formula steps           : 19
% 16.70/3.47  # Proof object conjectures             : 3
% 16.70/3.47  # Proof object clause conjectures      : 2
% 16.70/3.47  # Proof object formula conjectures     : 1
% 16.70/3.47  # Proof object initial clauses used    : 19
% 16.70/3.47  # Proof object initial formulas used   : 19
% 16.70/3.47  # Proof object generating inferences   : 56
% 16.70/3.47  # Proof object simplifying inferences  : 15
% 16.70/3.47  # Training examples: 0 positive, 0 negative
% 16.70/3.47  # Parsed axioms                        : 78
% 16.70/3.47  # Removed by relevancy pruning/SinE    : 0
% 16.70/3.47  # Initial clauses                      : 78
% 16.70/3.47  # Removed in clause preprocessing      : 0
% 16.70/3.47  # Initial clauses in saturation        : 78
% 16.70/3.47  # Processed clauses                    : 3579
% 16.70/3.47  # ...of these trivial                  : 44
% 16.70/3.47  # ...subsumed                          : 1668
% 16.70/3.47  # ...remaining for further processing  : 1867
% 16.70/3.47  # Other redundant clauses eliminated   : 1
% 16.70/3.47  # Clauses deleted for lack of memory   : 0
% 16.70/3.47  # Backward-subsumed                    : 65
% 16.70/3.47  # Backward-rewritten                   : 280
% 16.70/3.47  # Generated clauses                    : 45699
% 16.70/3.47  # ...of the previous two non-trivial   : 42579
% 16.70/3.47  # Contextual simplify-reflections      : 653
% 16.70/3.47  # Paramodulations                      : 45605
% 16.70/3.47  # Factorizations                       : 62
% 16.70/3.47  # Equation resolutions                 : 1
% 16.70/3.47  # Propositional unsat checks           : 0
% 16.70/3.47  # Propositional unsat check successes  : 0
% 16.70/3.47  # Current number of processed clauses  : 1490
% 16.70/3.47  #    Positive orientable unit clauses  : 111
% 16.70/3.47  #    Positive unorientable unit clauses: 0
% 16.70/3.47  #    Negative unit clauses             : 22
% 16.70/3.47  #    Non-unit-clauses                  : 1357
% 16.70/3.47  # Current number of unprocessed clauses: 28530
% 16.70/3.47  # ...number of literals in the above   : 87376
% 16.70/3.47  # Current number of archived formulas  : 0
% 16.70/3.47  # Current number of archived clauses   : 376
% 16.70/3.47  # Clause-clause subsumption calls (NU) : 410147
% 16.70/3.47  # Rec. Clause-clause subsumption calls : 161712
% 16.70/3.47  # Non-unit clause-clause subsumptions  : 1500
% 16.70/3.47  # Unit Clause-clause subsumption calls : 15377
% 16.70/3.47  # Rewrite failures with RHS unbound    : 0
% 16.70/3.47  # BW rewrite match attempts            : 1162
% 16.70/3.47  # BW rewrite match successes           : 17
% 16.70/3.47  # Condensation attempts                : 0
% 16.70/3.47  # Condensation successes               : 0
% 16.70/3.47  # Termbank termtop insertions          : 1963095
% 16.70/3.47  
% 16.70/3.47  # -------------------------------------------------
% 16.70/3.47  # User time                : 0.961 s
% 16.70/3.47  # System time              : 0.021 s
% 16.70/3.47  # Total time               : 0.982 s
% 16.70/3.47  # ...preprocessing         : 0.104 s
% 16.70/3.47  # ...main loop             : 0.878 s
% 16.70/3.47  # Maximum resident set size: 45648 pages
% 16.70/3.47  
%------------------------------------------------------------------------------