↑ Up

Enigma---0.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEV563+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 02:00:58 AM UTC 2025

% Result   : Theorem 17.34s 3.97s
% Output   : CNFRefutation 17.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   83 (  14 unt;  40 nHn;  62 RR)
%            Number of literals    :  218 (  39 equ;  50 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    9 (   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   :  121 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_75,plain,
    ( subq(X1,X2)
    | ~ mem(esk17_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/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-ml5c00ji/input.p',i_0_79) ).

cnf(i_0_65,plain,
    ( mem(X1,X2)
    | mem(X1,m(X3,X2))
    | ~ mem(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/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-ml5c00ji/input.p',i_0_70) ).

cnf(i_0_76,plain,
    ( subq(X1,X2)
    | mem(esk17_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/input.p',i_0_76) ).

cnf(i_0_77,plain,
    ( mem(X1,X2)
    | ~ subq(X3,X2)
    | ~ mem(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/input.p',i_0_77) ).

cnf(i_0_69,negated_conjecture,
    subq(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(p(s(u(e,s(e)))),s(p(s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/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-ml5c00ji/input.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-ml5c00ji/input.p',i_0_78) ).

cnf(i_0_73,plain,
    ( X1 = X2
    | ~ mem(X1,s(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/input.p',i_0_73) ).

cnf(i_0_72,plain,
    ( mem(X1,s(X2))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/input.p',i_0_72) ).

cnf(i_0_71,plain,
    ( subq(X1,X2)
    | ~ mem(X1,p(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/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-ml5c00ji/input.p',i_0_30) ).

cnf(i_0_32,plain,
    ( mem(esk8_1(X1),X1)
    | ~ atleast2p(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/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-ml5c00ji/input.p',i_0_31) ).

cnf(i_0_64,plain,
    ~ mem(X1,e),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ml5c00ji/input.p',i_0_64) ).

cnf(c_0_97,plain,
    ( subq(X1,X2)
    | ~ mem(esk17_2(X1,X2),X2) ),
    i_0_75 ).

cnf(c_0_98,plain,
    ( mem(X1,u(X2,X3))
    | ~ mem(X1,X2) ),
    i_0_79 ).

cnf(c_0_99,plain,
    ( mem(X1,X2)
    | mem(X1,m(X3,X2))
    | ~ mem(X1,X3) ),
    i_0_65 ).

cnf(c_0_100,plain,
    ( mem(X1,p(X2))
    | ~ subq(X1,X2) ),
    i_0_70 ).

cnf(c_0_101,plain,
    ( subq(X1,u(X2,X3))
    | ~ mem(esk17_2(X1,u(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_102,plain,
    ( subq(X1,X2)
    | mem(esk17_2(X1,X2),X1) ),
    i_0_76 ).

cnf(c_0_103,plain,
    ( mem(X1,m(p(X2),X3))
    | mem(X1,X3)
    | ~ subq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_104,plain,
    subq(X1,u(X1,X2)),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_105,plain,
    ( mem(X1,X2)
    | ~ subq(X3,X2)
    | ~ mem(X1,X3) ),
    i_0_77 ).

cnf(c_0_106,plain,
    ( mem(X1,m(p(u(X1,X2)),X3))
    | mem(X1,X3) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_107,plain,
    ( mem(X1,X2)
    | mem(X1,X3)
    | ~ subq(m(p(u(X1,X4)),X2),X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_108,negated_conjecture,
    subq(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(p(s(u(e,s(e)))),s(p(s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))),
    i_0_69 ).

cnf(c_0_109,plain,
    ( mem(X1,X2)
    | mem(X1,X3)
    | ~ mem(X1,u(X3,X2)) ),
    i_0_80 ).

cnf(c_0_110,negated_conjecture,
    ( mem(u(e,s(e)),u(u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(s(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)),u(u(p(s(u(e,s(e)))),s(p(s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_111,plain,
    ( mem(u(e,s(e)),u(u(p(s(u(e,s(e)))),s(p(s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))
    | mem(u(e,s(e)),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(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)))))))) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_112,plain,
    ( mem(u(e,s(e)),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(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)),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(s(u(e,s(e))))))) ),
    inference(spm,[status(thm)],[c_0_109,c_0_111]) ).

cnf(c_0_113,plain,
    ( mem(X1,u(X2,X3))
    | ~ mem(X1,X3) ),
    i_0_78 ).

cnf(c_0_114,plain,
    ( mem(esk17_2(X1,X2),X3)
    | subq(X1,X2)
    | ~ subq(X1,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_102]) ).

cnf(c_0_115,plain,
    ( X1 = X2
    | ~ mem(X1,s(X2)) ),
    i_0_73 ).

cnf(c_0_116,plain,
    ( 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)),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(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)),s(s(s(u(e,s(e)))))) ),
    inference(spm,[status(thm)],[c_0_109,c_0_112]) ).

cnf(c_0_117,plain,
    ( subq(X1,u(X2,X3))
    | ~ mem(esk17_2(X1,u(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_97,c_0_113]) ).

cnf(c_0_118,plain,
    ( mem(esk17_2(X1,X2),u(X1,X3))
    | subq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_114,c_0_104]) ).

cnf(c_0_119,plain,
    ( 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(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(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)),s(s(s(u(e,s(e)))))) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_120,plain,
    subq(X1,u(X2,u(X1,X3))),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_121,plain,
    ( 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(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)),s(s(s(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_109,c_0_119]) ).

cnf(c_0_122,plain,
    ( 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)),s(p(s(u(e,s(e))))))
    | mem(u(e,s(e)),s(s(s(u(e,s(e))))))
    | mem(u(e,s(e)),p(s(u(e,s(e)))))
    | subq(s(u(e,s(e))),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_123,plain,
    ( 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)),s(s(s(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)))))
    | subq(s(u(e,s(e))),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_115,c_0_122]) ).

cnf(c_0_124,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(e,s(e)),s(p(s(u(e,s(e))))))
    | mem(u(e,s(e)),s(s(s(u(e,s(e))))))
    | mem(u(e,s(e)),p(s(u(e,s(e)))))
    | subq(s(u(e,s(e))),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_115,c_0_123]) ).

cnf(c_0_125,plain,
    ( mem(X1,s(X2))
    | X1 != X2 ),
    i_0_72 ).

cnf(c_0_126,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))
    | p(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)),p(s(u(e,s(e)))))
    | subq(s(u(e,s(e))),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_115,c_0_124]) ).

cnf(c_0_127,plain,
    mem(X1,s(X1)),
    inference(er,[status(thm)],[c_0_125]) ).

cnf(c_0_128,plain,
    ( subq(X1,X2)
    | ~ mem(X1,p(X2)) ),
    i_0_71 ).

cnf(c_0_129,plain,
    ( u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
    | p(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)),p(s(u(e,s(e)))))
    | subq(s(u(e,s(e))),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_104,c_0_126]) ).

cnf(c_0_130,plain,
    ( mem(X1,X2)
    | ~ subq(s(X1),X2) ),
    inference(spm,[status(thm)],[c_0_105,c_0_127]) ).

cnf(c_0_131,plain,
    ( atleast2p(X1)
    | subq(X1,p(X2))
    | ~ mem(X2,X1) ),
    i_0_30 ).

cnf(c_0_132,plain,
    ( mem(esk8_1(X1),X1)
    | ~ atleast2p(X1) ),
    i_0_32 ).

cnf(c_0_133,plain,
    ( u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
    | p(s(u(e,s(e)))) = u(e,s(e))
    | mem(u(e,s(e)),s(s(s(u(e,s(e))))))
    | subq(s(u(e,s(e))),u(e,s(e)))
    | subq(u(e,s(e)),s(u(e,s(e)))) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_134,plain,
    ( mem(X1,X2)
    | ~ subq(s(X1),X3)
    | ~ subq(X3,X2) ),
    inference(spm,[status(thm)],[c_0_105,c_0_130]) ).

cnf(c_0_135,plain,
    ( atleast2p(s(X1))
    | subq(s(X1),p(X1)) ),
    inference(spm,[status(thm)],[c_0_131,c_0_127]) ).

cnf(c_0_136,plain,
    ( ~ atleast2p(X1)
    | ~ subq(X1,p(esk8_1(X1))) ),
    i_0_31 ).

cnf(c_0_137,plain,
    ( esk8_1(s(X1)) = X1
    | ~ atleast2p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_115,c_0_132]) ).

cnf(c_0_138,plain,
    ( subq(X1,p(X2))
    | ~ subq(esk17_2(X1,p(X2)),X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_100]) ).

cnf(c_0_139,plain,
    ( esk17_2(s(X1),X2) = X1
    | subq(s(X1),X2) ),
    inference(spm,[status(thm)],[c_0_115,c_0_102]) ).

cnf(c_0_140,plain,
    subq(X1,u(X2,X1)),
    inference(spm,[status(thm)],[c_0_117,c_0_102]) ).

cnf(c_0_141,plain,
    ( u(u(e,s(e)),s(u(e,s(e)))) = u(e,s(e))
    | p(s(u(e,s(e)))) = u(e,s(e))
    | s(s(u(e,s(e)))) = u(e,s(e))
    | subq(u(e,s(e)),s(u(e,s(e))))
    | subq(s(u(e,s(e))),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_115,c_0_133]) ).

cnf(c_0_142,plain,
    ( atleast2p(s(X1))
    | mem(X1,X2)
    | ~ subq(p(X1),X2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_143,plain,
    subq(X1,X1),
    inference(spm,[status(thm)],[c_0_97,c_0_102]) ).

cnf(c_0_144,plain,
    ( ~ atleast2p(s(X1))
    | ~ subq(s(X1),p(X1)) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_145,plain,
    ( subq(s(X1),p(X2))
    | ~ subq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_146,plain,
    ( mem(X1,X2)
    | mem(X1,X3)
    | ~ subq(s(X1),u(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_109,c_0_130]) ).

cnf(c_0_147,plain,
    ( s(s(u(e,s(e)))) = u(e,s(e))
    | p(s(u(e,s(e)))) = u(e,s(e))
    | subq(u(e,s(e)),s(u(e,s(e))))
    | subq(s(u(e,s(e))),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_148,plain,
    ~ mem(X1,e),
    i_0_64 ).

cnf(c_0_149,plain,
    ( atleast2p(s(X1))
    | mem(X1,p(X1)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_150,plain,
    ~ atleast2p(s(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_143])]) ).

cnf(c_0_151,plain,
    ( mem(X1,X2)
    | ~ subq(u(X3,s(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_140]) ).

cnf(c_0_152,plain,
    ( p(s(u(e,s(e)))) = u(e,s(e))
    | s(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_146,c_0_147]),c_0_148]) ).

cnf(c_0_153,plain,
    mem(X1,p(X1)),
    inference(sr,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_154,plain,
    ( s(s(u(e,s(e)))) = u(e,s(e))
    | 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_151,c_0_152]) ).

cnf(c_0_155,plain,
    ( s(s(u(e,s(e)))) = u(e,s(e))
    | 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_153,c_0_154]) ).

cnf(c_0_156,plain,
    ( s(s(u(e,s(e)))) = u(e,s(e))
    | 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_109,c_0_155]),c_0_148]) ).

cnf(c_0_157,plain,
    ( s(s(u(e,s(e)))) = u(e,s(e))
    | s(u(e,s(e))) = e
    | mem(e,s(u(e,s(e))))
    | mem(u(e,s(e)),s(e)) ),
    inference(spm,[status(thm)],[c_0_115,c_0_156]) ).

cnf(c_0_158,plain,
    ( s(s(u(e,s(e)))) = u(e,s(e))
    | s(u(e,s(e))) = e
    | u(e,s(e)) = e ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_157]),c_0_115]) ).

cnf(c_0_159,plain,
    ( s(u(e,s(e))) = e
    | u(e,s(e)) = e
    | mem(s(u(e,s(e))),u(e,s(e))) ),
    inference(spm,[status(thm)],[c_0_127,c_0_158]) ).

cnf(c_0_160,plain,
    ( s(u(e,s(e))) = e
    | u(e,s(e)) = e ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_159]),c_0_148]),c_0_115]) ).

cnf(c_0_161,plain,
    u(e,s(e)) = e,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_160]),c_0_148]) ).

cnf(c_0_162,plain,
    ~ subq(s(X1),e),
    inference(spm,[status(thm)],[c_0_148,c_0_130]) ).

cnf(c_0_163,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_161]),c_0_162]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SEV563+1 : TPTP v9.1.0. Released v9.1.0.
% 0.05/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.30  % Computer : n007.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Mar 31 12:24:50 EDT 2025
% 0.09/0.31  % CPUTime  : 
% 0.15/0.41  # ENIGMATIC: Selected SinE mode:
% 0.15/0.41  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.15/0.41  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.15/0.41  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 17.34/3.97  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 17.34/3.97  # Version: 2.1pre011
% 17.34/3.97  # Preprocessing time       : 0.101 s
% 17.34/3.97  
% 17.34/3.97  # Proof found!
% 17.34/3.97  # SZS status Theorem
% 17.34/3.97  # SZS output start CNFRefutation
% See solution above
% 17.34/3.97  # Proof object total steps             : 83
% 17.34/3.97  # Proof object clause steps            : 67
% 17.34/3.97  # Proof object formula steps           : 16
% 17.34/3.97  # Proof object conjectures             : 3
% 17.34/3.97  # Proof object clause conjectures      : 2
% 17.34/3.97  # Proof object formula conjectures     : 1
% 17.34/3.97  # Proof object initial clauses used    : 16
% 17.34/3.97  # Proof object initial formulas used   : 16
% 17.34/3.97  # Proof object generating inferences   : 49
% 17.34/3.97  # Proof object simplifying inferences  : 11
% 17.34/3.97  # Training examples: 0 positive, 0 negative
% 17.34/3.97  # Parsed axioms                        : 78
% 17.34/3.97  # Removed by relevancy pruning/SinE    : 0
% 17.34/3.97  # Initial clauses                      : 78
% 17.34/3.97  # Removed in clause preprocessing      : 0
% 17.34/3.97  # Initial clauses in saturation        : 78
% 17.34/3.97  # Processed clauses                    : 2539
% 17.34/3.97  # ...of these trivial                  : 11
% 17.34/3.97  # ...subsumed                          : 1067
% 17.34/3.97  # ...remaining for further processing  : 1461
% 17.34/3.97  # Other redundant clauses eliminated   : 1
% 17.34/3.97  # Clauses deleted for lack of memory   : 0
% 17.34/3.97  # Backward-subsumed                    : 72
% 17.34/3.97  # Backward-rewritten                   : 292
% 17.34/3.97  # Generated clauses                    : 22582
% 17.34/3.97  # ...of the previous two non-trivial   : 19899
% 17.34/3.97  # Contextual simplify-reflections      : 448
% 17.34/3.97  # Paramodulations                      : 22491
% 17.34/3.97  # Factorizations                       : 54
% 17.34/3.97  # Equation resolutions                 : 1
% 17.34/3.97  # Propositional unsat checks           : 0
% 17.34/3.97  # Propositional unsat check successes  : 0
% 17.34/3.97  # Current number of processed clauses  : 1060
% 17.34/3.97  #    Positive orientable unit clauses  : 99
% 17.34/3.97  #    Positive unorientable unit clauses: 0
% 17.34/3.97  #    Negative unit clauses             : 21
% 17.34/3.97  #    Non-unit-clauses                  : 940
% 17.34/3.97  # Current number of unprocessed clauses: 11325
% 17.34/3.97  # ...number of literals in the above   : 33523
% 17.34/3.97  # Current number of archived formulas  : 0
% 17.34/3.97  # Current number of archived clauses   : 400
% 17.34/3.97  # Clause-clause subsumption calls (NU) : 336118
% 17.34/3.97  # Rec. Clause-clause subsumption calls : 107343
% 17.34/3.97  # Non-unit clause-clause subsumptions  : 1027
% 17.34/3.97  # Unit Clause-clause subsumption calls : 18910
% 17.34/3.97  # Rewrite failures with RHS unbound    : 0
% 17.34/3.97  # BW rewrite match attempts            : 1338
% 17.34/3.97  # BW rewrite match successes           : 16
% 17.34/3.97  # Condensation attempts                : 0
% 17.34/3.97  # Condensation successes               : 0
% 17.34/3.97  # Termbank termtop insertions          : 718343
% 17.34/3.97  
% 17.34/3.97  # -------------------------------------------------
% 17.34/3.97  # User time                : 0.908 s
% 17.34/3.97  # System time              : 0.016 s
% 17.34/3.97  # Total time               : 0.924 s
% 17.34/3.97  # ...preprocessing         : 0.101 s
% 17.34/3.97  # ...main loop             : 0.823 s
% 17.34/3.97  # Maximum resident set size: 24340 pages
% 17.34/3.97  
%------------------------------------------------------------------------------