TSTP Solution File: SEU272+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 : 600s
% DateTime : Tue Jul 19 08:40:17 EDT 2022
% Result : Theorem 12.86s 3.30s
% Output : CNFRefutation 12.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of clauses : 97 ( 11 unt; 60 nHn; 84 RR)
% Number of literals : 310 ( 100 equ; 154 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 158 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_54,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| X3 != X4
| X5 != X3
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X4,X1)
| ~ in(X5,succ(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_54) ).
cnf(i_0_3,negated_conjecture,
( ordinal(esk4_1(X1))
| in(esk3_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_3) ).
cnf(i_0_2,negated_conjecture,
( esk3_1(X1) = esk4_1(X1)
| in(esk3_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_2) ).
cnf(i_0_4,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),succ(esk2_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_4) ).
cnf(i_0_6,negated_conjecture,
ordinal(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_6) ).
cnf(i_0_1,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk4_1(X1),esk1_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_1) ).
cnf(i_0_57,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| ordinal(esk16_3(X1,X2,X3))
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_57) ).
cnf(i_0_56,plain,
( esk16_3(X1,X2,X3) = X3
| esk11_2(X1,X2) = esk9_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_56) ).
cnf(i_0_55,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(esk16_3(X1,X2,X3),X1)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_55) ).
cnf(i_0_5,negated_conjecture,
( esk3_1(X1) != X2
| ~ ordinal(X2)
| ~ in(X2,esk1_0)
| ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),succ(esk2_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_5) ).
cnf(i_0_78,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| X3 != X4
| X5 != X3
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X4,X1)
| ~ in(X5,succ(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_78) ).
cnf(i_0_59,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(esk15_3(X1,X2,X3),succ(X2))
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_59) ).
cnf(i_0_58,plain,
( esk15_3(X1,X2,X3) = X3
| esk11_2(X1,X2) = esk9_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_58) ).
cnf(i_0_81,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| ordinal(esk16_3(X1,X2,X3))
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_81) ).
cnf(i_0_80,plain,
( esk16_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_80) ).
cnf(i_0_79,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(esk16_3(X1,X2,X3),X1)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_79) ).
cnf(i_0_83,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(esk15_3(X1,X2,X3),succ(X2))
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_83) ).
cnf(i_0_82,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_82) ).
cnf(i_0_33,plain,
( ordinal(esk16_3(X1,X2,X3))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_33) ).
cnf(i_0_32,plain,
( esk16_3(X1,X2,X3) = X3
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_32) ).
cnf(i_0_31,plain,
( in(esk16_3(X1,X2,X3),X1)
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_31) ).
cnf(i_0_30,plain,
( in(X1,esk14_2(X2,X3))
| X1 != X4
| X5 != X1
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ ordinal(X4)
| ~ ordinal(X3)
| ~ in(X4,X2)
| ~ in(X5,succ(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_30) ).
cnf(i_0_35,plain,
( in(esk15_3(X1,X2,X3),succ(X2))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_35) ).
cnf(i_0_34,plain,
( esk15_3(X1,X2,X3) = X3
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jzprbf79/lgb.p',i_0_34) ).
cnf(c_0_108,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| X3 != X4
| X5 != X3
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X4,X1)
| ~ in(X5,succ(X2)) ),
i_0_54 ).
cnf(c_0_109,negated_conjecture,
( ordinal(esk4_1(X1))
| in(esk3_1(X1),X1) ),
i_0_3 ).
cnf(c_0_110,negated_conjecture,
( esk3_1(X1) = esk4_1(X1)
| in(esk3_1(X1),X1) ),
i_0_2 ).
cnf(c_0_111,plain,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ in(X3,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_108])]) ).
cnf(c_0_112,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),succ(esk2_0)) ),
i_0_4 ).
cnf(c_0_113,negated_conjecture,
ordinal(esk2_0),
i_0_6 ).
cnf(c_0_114,negated_conjecture,
( in(esk3_1(X1),X1)
| ordinal(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk4_1(X1),esk1_0) ),
i_0_1 ).
cnf(c_0_116,negated_conjecture,
( esk9_2(X1,esk2_0) = esk11_2(X1,esk2_0)
| in(esk3_1(X2),esk14_2(X1,esk2_0))
| in(esk3_1(X2),X2)
| ~ in(esk3_1(X2),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]),c_0_114]) ).
cnf(c_0_117,negated_conjecture,
( in(esk3_1(X1),esk1_0)
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_110]) ).
cnf(c_0_118,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_119,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| ordinal(esk16_3(X1,X2,X3))
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_57 ).
cnf(c_0_120,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_118]) ).
cnf(c_0_121,plain,
( esk16_3(X1,X2,X3) = X3
| esk11_2(X1,X2) = esk9_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_56 ).
cnf(c_0_122,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(esk16_3(X1,X2,X3),X1)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_55 ).
cnf(c_0_123,negated_conjecture,
( esk3_1(X1) != X2
| ~ ordinal(X2)
| ~ in(X2,esk1_0)
| ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),succ(esk2_0)) ),
i_0_5 ).
cnf(c_0_124,plain,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ordinal(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_113])]) ).
cnf(c_0_125,plain,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_113])]) ).
cnf(c_0_126,plain,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_113])]) ).
cnf(c_0_127,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| X3 != X4
| X5 != X3
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X4,X1)
| ~ in(X5,succ(X2)) ),
i_0_78 ).
cnf(c_0_128,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(esk15_3(X1,X2,X3),succ(X2))
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_59 ).
cnf(c_0_129,plain,
( esk15_3(X1,X2,X3) = X3
| esk11_2(X1,X2) = esk9_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_58 ).
cnf(c_0_130,negated_conjecture,
( ~ in(esk3_1(X1),succ(esk2_0))
| ~ in(esk3_1(X1),esk1_0)
| ~ in(esk3_1(X1),X1)
| ~ ordinal(esk3_1(X1)) ),
inference(er,[status(thm)],[c_0_123]) ).
cnf(c_0_131,plain,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ordinal(esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_132,plain,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_125]) ).
cnf(c_0_133,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ in(X3,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_127])]) ).
cnf(c_0_134,plain,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),succ(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_120]),c_0_113])]) ).
cnf(c_0_135,plain,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_120]),c_0_113])]) ).
cnf(c_0_136,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),succ(esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_120]) ).
cnf(c_0_137,negated_conjecture,
( esk9_2(X1,esk2_0) = esk10_2(X1,esk2_0)
| in(esk3_1(X2),esk14_2(X1,esk2_0))
| in(esk3_1(X2),X2)
| ~ in(esk3_1(X2),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_112]),c_0_113])]),c_0_114]) ).
cnf(c_0_138,plain,
esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_139,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_117]),c_0_138]) ).
cnf(c_0_140,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| ordinal(esk16_3(X1,X2,X3))
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_81 ).
cnf(c_0_141,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_139]) ).
cnf(c_0_142,plain,
( esk16_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_80 ).
cnf(c_0_143,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(esk16_3(X1,X2,X3),X1)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_79 ).
cnf(c_0_144,plain,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ordinal(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_138]),c_0_113])]) ).
cnf(c_0_145,plain,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_141]),c_0_138]),c_0_113])]) ).
cnf(c_0_146,plain,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_141]),c_0_138]),c_0_113])]) ).
cnf(c_0_147,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(esk15_3(X1,X2,X3),succ(X2))
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_83 ).
cnf(c_0_148,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_82 ).
cnf(c_0_149,plain,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ordinal(esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,plain,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_145]) ).
cnf(c_0_151,plain,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),succ(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_141]),c_0_138]),c_0_113])]) ).
cnf(c_0_152,negated_conjecture,
( esk15_3(X1,X2,esk3_1(esk14_2(X1,X2))) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| in(esk3_1(esk14_2(X1,X2)),succ(esk2_0))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_112]) ).
cnf(c_0_153,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),succ(esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_149]),c_0_150]),c_0_141]) ).
cnf(c_0_154,plain,
( ordinal(esk16_3(X1,X2,X3))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_33 ).
cnf(c_0_155,plain,
esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_138]),c_0_113])]),c_0_153]) ).
cnf(c_0_156,plain,
( esk16_3(X1,X2,X3) = X3
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_32 ).
cnf(c_0_157,plain,
( in(esk16_3(X1,X2,X3),X1)
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_31 ).
cnf(c_0_158,plain,
( ordinal(esk16_3(esk1_0,esk2_0,X1))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_113])]) ).
cnf(c_0_159,plain,
( esk16_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_155]),c_0_113])]) ).
cnf(c_0_160,plain,
( in(X1,esk14_2(X2,X3))
| X1 != X4
| X5 != X1
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ ordinal(X4)
| ~ ordinal(X3)
| ~ in(X4,X2)
| ~ in(X5,succ(X3)) ),
i_0_30 ).
cnf(c_0_161,plain,
( in(esk16_3(esk1_0,esk2_0,X1),esk1_0)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_155]),c_0_113])]) ).
cnf(c_0_162,negated_conjecture,
( ordinal(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))))
| ordinal(esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_158,c_0_114]) ).
cnf(c_0_163,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| ordinal(esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_159,c_0_114]) ).
cnf(c_0_164,plain,
( in(X1,esk14_2(X2,X3))
| esk10_2(X2,X3) != esk11_2(X2,X3)
| ~ in(X1,succ(X3))
| ~ in(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_160])]) ).
cnf(c_0_165,negated_conjecture,
( in(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_161,c_0_117]) ).
cnf(c_0_166,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_117]) ).
cnf(c_0_167,negated_conjecture,
ordinal(esk3_1(esk14_2(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_168,plain,
( in(esk15_3(X1,X2,X3),succ(X2))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_35 ).
cnf(c_0_169,plain,
( in(X1,esk14_2(esk1_0,esk2_0))
| ~ in(X1,succ(esk2_0))
| ~ in(X1,esk1_0)
| ~ ordinal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_155]),c_0_113])]) ).
cnf(c_0_170,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,plain,
( esk15_3(X1,X2,X3) = X3
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2)
| ~ in(X3,esk14_2(X1,X2)) ),
i_0_34 ).
cnf(c_0_172,negated_conjecture,
( ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0))
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),succ(esk2_0))
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_167]) ).
cnf(c_0_173,plain,
( in(esk15_3(esk1_0,esk2_0,X1),succ(esk2_0))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_155]),c_0_113])]) ).
cnf(c_0_174,plain,
in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_167])]),c_0_112]) ).
cnf(c_0_175,plain,
( esk15_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_155]),c_0_113])]) ).
cnf(c_0_176,negated_conjecture,
( ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0))
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),succ(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_170])]) ).
cnf(c_0_177,plain,
in(esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),succ(esk2_0)),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_178,plain,
esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_175,c_0_174]) ).
cnf(c_0_179,negated_conjecture,
~ in(esk3_1(esk14_2(esk1_0,esk2_0)),succ(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_174])]) ).
cnf(c_0_180,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178]),c_0_179]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.30 % Computer : n005.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Mon Jun 20 05:43:25 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.40 # ENIGMATIC: Selected complete mode:
% 12.86/3.30 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.86/3.30 # No SInE strategy applied
% 12.86/3.30 # Trying AutoSched0 for 150 seconds
% 12.86/3.30 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 12.86/3.30 # and selection function SelectNewComplexAHPNS.
% 12.86/3.30 #
% 12.86/3.30 # Preprocessing time : 0.023 s
% 12.86/3.30
% 12.86/3.30 # Proof found!
% 12.86/3.30 # SZS status Theorem
% 12.86/3.30 # SZS output start CNFRefutation
% See solution above
% 12.86/3.30 # Training examples: 0 positive, 0 negative
% 12.86/3.30
% 12.86/3.30 # -------------------------------------------------
% 12.86/3.30 # User time : 0.042 s
% 12.86/3.30 # System time : 0.005 s
% 12.86/3.30 # Total time : 0.046 s
% 12.86/3.30 # Maximum resident set size: 7124 pages
% 12.86/3.30
%------------------------------------------------------------------------------