TSTP Solution File: SEU286+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU286+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 08:40:25 EDT 2022
% Result : Theorem 83.79s 11.93s
% Output : CNFRefutation 83.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 37
% Syntax : Number of clauses : 146 ( 14 unt; 123 nHn; 114 RR)
% Number of literals : 676 ( 192 equ; 319 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-7 aty)
% Number of variables : 407 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_104,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(X3,esk26_3(X1,X2,X4))
| in(esk31_7(X1,X2,X4,X3,X5,X6,X7),X7)
| X5 != X7
| X3 != X8
| ordered_pair(X5,X6) != X3
| ~ relation(X2)
| ~ in(X6,X7)
| ~ in(X5,X1)
| ~ in(X8,cartesian_product2(X1,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_104) ).
cnf(i_0_5,negated_conjecture,
( ordered_pair(esk6_1(X1),esk7_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_5) ).
cnf(i_0_3,negated_conjecture,
( esk6_1(X1) = esk8_1(X1)
| in(esk4_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_3) ).
cnf(i_0_2,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk7_1(X1),esk8_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_2) ).
cnf(i_0_4,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),esk1_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_4) ).
cnf(i_0_6,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(esk1_0,esk3_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_6) ).
cnf(i_0_10,negated_conjecture,
~ empty(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_10) ).
cnf(i_0_111,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk27_4(X1,X2,X3,X4),cartesian_product2(X1,X3))
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_111) ).
cnf(i_0_110,plain,
( esk27_4(X1,X2,X3,X4) = X4
| esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_110) ).
cnf(i_0_103,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(X3,esk26_3(X1,X2,X4))
| X5 != X6
| X3 != X7
| ordered_pair(X5,X8) != X3
| ~ relation(X2)
| ~ in(X5,X1)
| ~ in(X8,X6)
| ~ in(X7,cartesian_product2(X1,X4))
| ~ in(ordered_pair(X8,esk31_7(X1,X2,X4,X3,X5,X8,X6)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_103) ).
cnf(i_0_9,negated_conjecture,
relation(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_9) ).
cnf(i_0_1,negated_conjecture,
( in(esk4_1(X1),X1)
| in(ordered_pair(esk7_1(X1),X2),esk2_0)
| ~ in(X2,esk8_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_1) ).
cnf(i_0_8,negated_conjecture,
( in(esk5_4(X1,X2,X3,X4),X4)
| X2 != X4
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(X3,X4)
| ~ in(X2,esk1_0)
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk3_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_8) ).
cnf(i_0_158,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(X3,esk26_3(X1,X2,X4))
| in(esk31_7(X1,X2,X4,X3,X5,X6,X7),X7)
| X5 != X7
| X3 != X8
| ordered_pair(X5,X6) != X3
| ~ relation(X2)
| ~ in(X6,X7)
| ~ in(X5,X1)
| ~ in(X8,cartesian_product2(X1,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_158) ).
cnf(i_0_107,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| esk30_4(X1,X2,X3,X4) = esk28_4(X1,X2,X3,X4)
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_107) ).
cnf(i_0_106,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk29_4(X1,X2,X3,X4),esk30_4(X1,X2,X3,X4))
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_106) ).
cnf(i_0_50,plain,
( empty(X1)
| in(X2,esk26_3(X1,X3,X4))
| in(esk31_7(X1,X3,X4,X2,X5,X6,X7),X7)
| X5 != X7
| X2 != X8
| ordered_pair(X5,X6) != X2
| esk19_2(X1,X3) != esk18_2(X1,X3)
| ~ relation(X3)
| ~ in(X6,X7)
| ~ in(X5,X1)
| ~ in(X8,cartesian_product2(X1,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_50) ).
cnf(i_0_105,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(ordered_pair(esk29_4(X1,X2,X3,X4),X5),X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3))
| ~ in(X5,esk30_4(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_105) ).
cnf(i_0_109,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| ordered_pair(esk28_4(X1,X2,X3,X4),esk29_4(X1,X2,X3,X4)) = X4
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_109) ).
cnf(i_0_108,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk28_4(X1,X2,X3,X4),X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_108) ).
cnf(i_0_157,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(X3,esk26_3(X1,X2,X4))
| X5 != X6
| X3 != X7
| ordered_pair(X5,X8) != X3
| ~ relation(X2)
| ~ in(X5,X1)
| ~ in(X8,X6)
| ~ in(X7,cartesian_product2(X1,X4))
| ~ in(ordered_pair(X8,esk31_7(X1,X2,X4,X3,X5,X8,X6)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_157) ).
cnf(i_0_7,negated_conjecture,
( X1 != X2
| ordered_pair(X1,X3) != esk4_1(X4)
| ~ in(X3,X2)
| ~ in(X1,esk1_0)
| ~ in(esk4_1(X4),X4)
| ~ in(esk4_1(X4),cartesian_product2(esk1_0,esk3_0))
| ~ in(ordered_pair(X3,esk5_4(X4,X1,X3,X2)),esk2_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_7) ).
cnf(i_0_49,plain,
( empty(X1)
| in(X2,esk26_3(X1,X3,X4))
| X5 != X6
| X2 != X7
| ordered_pair(X5,X8) != X2
| esk19_2(X1,X3) != esk18_2(X1,X3)
| ~ relation(X3)
| ~ in(X5,X1)
| ~ in(X8,X6)
| ~ in(X7,cartesian_product2(X1,X4))
| ~ in(ordered_pair(X8,esk31_7(X1,X3,X4,X2,X5,X8,X6)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_49) ).
cnf(i_0_161,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| esk30_4(X1,X2,X3,X4) = esk28_4(X1,X2,X3,X4)
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_161) ).
cnf(i_0_159,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(ordered_pair(esk29_4(X1,X2,X3,X4),X5),X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3))
| ~ in(X5,esk30_4(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_159) ).
cnf(i_0_165,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(esk27_4(X1,X2,X3,X4),cartesian_product2(X1,X3))
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_165) ).
cnf(i_0_164,plain,
( esk27_4(X1,X2,X3,X4) = X4
| esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_164) ).
cnf(i_0_53,plain,
( esk30_4(X1,X2,X3,X4) = esk28_4(X1,X2,X3,X4)
| empty(X1)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_53) ).
cnf(i_0_57,plain,
( empty(X1)
| in(esk27_4(X1,X2,X3,X4),cartesian_product2(X1,X3))
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_57) ).
cnf(i_0_56,plain,
( esk27_4(X1,X2,X3,X4) = X4
| empty(X1)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_56) ).
cnf(i_0_160,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(esk29_4(X1,X2,X3,X4),esk30_4(X1,X2,X3,X4))
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_160) ).
cnf(i_0_51,plain,
( empty(X1)
| in(ordered_pair(esk29_4(X1,X2,X3,X4),X5),X2)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3))
| ~ in(X5,esk30_4(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_51) ).
cnf(i_0_163,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| ordered_pair(esk28_4(X1,X2,X3,X4),esk29_4(X1,X2,X3,X4)) = X4
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_163) ).
cnf(i_0_162,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(esk28_4(X1,X2,X3,X4),X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_162) ).
cnf(i_0_55,plain,
( ordered_pair(esk28_4(X1,X2,X3,X4),esk29_4(X1,X2,X3,X4)) = X4
| empty(X1)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_55) ).
cnf(i_0_52,plain,
( empty(X1)
| in(esk29_4(X1,X2,X3,X4),esk30_4(X1,X2,X3,X4))
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_52) ).
cnf(i_0_54,plain,
( empty(X1)
| in(esk28_4(X1,X2,X3,X4),X1)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fai1p7ds/lgb.p',i_0_54) ).
cnf(c_0_203,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(X3,esk26_3(X1,X2,X4))
| in(esk31_7(X1,X2,X4,X3,X5,X6,X7),X7)
| X5 != X7
| X3 != X8
| ordered_pair(X5,X6) != X3
| ~ relation(X2)
| ~ in(X6,X7)
| ~ in(X5,X1)
| ~ in(X8,cartesian_product2(X1,X4)) ),
i_0_104 ).
cnf(c_0_204,negated_conjecture,
( ordered_pair(esk6_1(X1),esk7_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
i_0_5 ).
cnf(c_0_205,negated_conjecture,
( esk6_1(X1) = esk8_1(X1)
| in(esk4_1(X1),X1) ),
i_0_3 ).
cnf(c_0_206,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk31_7(X1,X2,X3,ordered_pair(X4,X5),X4,X5,X4),X4)
| in(ordered_pair(X4,X5),esk26_3(X1,X2,X3))
| ~ relation(X2)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X3))
| ~ in(X5,X4)
| ~ in(X4,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_203])])]) ).
cnf(c_0_207,negated_conjecture,
( ordered_pair(esk8_1(X1),esk7_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_208,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk7_1(X1),esk8_1(X1)) ),
i_0_2 ).
cnf(c_0_209,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),esk1_0) ),
i_0_4 ).
cnf(c_0_210,negated_conjecture,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk31_7(X1,X2,X3,esk4_1(X4),esk8_1(X4),esk7_1(X4),esk8_1(X4)),esk8_1(X4))
| in(esk4_1(X4),esk26_3(X1,X2,X3))
| in(esk4_1(X4),X4)
| ~ relation(X2)
| ~ in(esk4_1(X4),cartesian_product2(X1,X3))
| ~ in(esk8_1(X4),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).
cnf(c_0_211,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(esk1_0,esk3_0)) ),
i_0_6 ).
cnf(c_0_212,negated_conjecture,
~ empty(esk1_0),
i_0_10 ).
cnf(c_0_213,negated_conjecture,
( in(esk8_1(X1),esk1_0)
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_205]) ).
cnf(c_0_214,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk27_4(X1,X2,X3,X4),cartesian_product2(X1,X3))
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_111 ).
cnf(c_0_215,plain,
( esk27_4(X1,X2,X3,X4) = X4
| esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_110 ).
cnf(c_0_216,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(X3,esk26_3(X1,X2,X4))
| X5 != X6
| X3 != X7
| ordered_pair(X5,X8) != X3
| ~ relation(X2)
| ~ in(X5,X1)
| ~ in(X8,X6)
| ~ in(X7,cartesian_product2(X1,X4))
| ~ in(ordered_pair(X8,esk31_7(X1,X2,X4,X3,X5,X8,X6)),X2) ),
i_0_103 ).
cnf(c_0_217,negated_conjecture,
( esk19_2(esk1_0,X1) = esk17_2(esk1_0,X1)
| in(esk31_7(esk1_0,X1,esk3_0,esk4_1(X2),esk8_1(X2),esk7_1(X2),esk8_1(X2)),esk8_1(X2))
| in(esk4_1(X2),esk26_3(esk1_0,X1,esk3_0))
| in(esk4_1(X2),X2)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]),c_0_213]) ).
cnf(c_0_218,negated_conjecture,
relation(esk2_0),
i_0_9 ).
cnf(c_0_219,negated_conjecture,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk27_4(X1,X2,X3,esk4_1(esk26_3(X1,X2,X3))),cartesian_product2(X1,X3))
| in(esk4_1(esk26_3(X1,X2,X3)),cartesian_product2(esk1_0,esk3_0))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_214,c_0_211]) ).
cnf(c_0_220,negated_conjecture,
( esk27_4(X1,X2,X3,esk4_1(esk26_3(X1,X2,X3))) = esk4_1(esk26_3(X1,X2,X3))
| esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk4_1(esk26_3(X1,X2,X3)),cartesian_product2(esk1_0,esk3_0))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_215,c_0_211]) ).
cnf(c_0_221,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(ordered_pair(X3,X4),esk26_3(X1,X2,X5))
| ~ relation(X2)
| ~ in(ordered_pair(X4,esk31_7(X1,X2,X5,ordered_pair(X3,X4),X3,X4,X3)),X2)
| ~ in(ordered_pair(X3,X4),cartesian_product2(X1,X5))
| ~ in(X4,X3)
| ~ in(X3,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_216])])]) ).
cnf(c_0_222,negated_conjecture,
( in(esk4_1(X1),X1)
| in(ordered_pair(esk7_1(X1),X2),esk2_0)
| ~ in(X2,esk8_1(X1)) ),
i_0_1 ).
cnf(c_0_223,negated_conjecture,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk31_7(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk8_1(X1),esk7_1(X1),esk8_1(X1)),esk8_1(X1))
| in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_224,negated_conjecture,
( esk19_2(X1,esk2_0) = esk17_2(X1,esk2_0)
| empty(X1)
| in(esk27_4(X1,esk2_0,X2,esk4_1(esk26_3(X1,esk2_0,X2))),cartesian_product2(X1,X2))
| in(esk4_1(esk26_3(X1,esk2_0,X2)),cartesian_product2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_219,c_0_218]) ).
cnf(c_0_225,negated_conjecture,
( esk27_4(X1,esk2_0,X2,esk4_1(esk26_3(X1,esk2_0,X2))) = esk4_1(esk26_3(X1,esk2_0,X2))
| esk19_2(X1,esk2_0) = esk17_2(X1,esk2_0)
| empty(X1)
| in(esk4_1(esk26_3(X1,esk2_0,X2)),cartesian_product2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_220,c_0_218]) ).
cnf(c_0_226,negated_conjecture,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk4_1(X3),esk26_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| ~ relation(X2)
| ~ in(ordered_pair(esk7_1(X3),esk31_7(X1,X2,X4,esk4_1(X3),esk8_1(X3),esk7_1(X3),esk8_1(X3))),X2)
| ~ in(esk4_1(X3),cartesian_product2(X1,X4))
| ~ in(esk8_1(X3),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_207]),c_0_208]) ).
cnf(c_0_227,negated_conjecture,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(ordered_pair(esk7_1(X1),esk31_7(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk8_1(X1),esk7_1(X1),esk8_1(X1))),esk2_0)
| in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_228,negated_conjecture,
( in(esk5_4(X1,X2,X3,X4),X4)
| X2 != X4
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(X3,X4)
| ~ in(X2,esk1_0)
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk3_0)) ),
i_0_8 ).
cnf(c_0_229,negated_conjecture,
( esk19_2(X1,esk2_0) = esk17_2(X1,esk2_0)
| empty(X1)
| in(esk4_1(esk26_3(X1,esk2_0,X2)),cartesian_product2(esk1_0,esk3_0))
| in(esk4_1(esk26_3(X1,esk2_0,X2)),cartesian_product2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_230,negated_conjecture,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_218])]),c_0_212]),c_0_213]),c_0_211]) ).
cnf(c_0_231,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(X3,esk26_3(X1,X2,X4))
| in(esk31_7(X1,X2,X4,X3,X5,X6,X7),X7)
| X5 != X7
| X3 != X8
| ordered_pair(X5,X6) != X3
| ~ relation(X2)
| ~ in(X6,X7)
| ~ in(X5,X1)
| ~ in(X8,cartesian_product2(X1,X4)) ),
i_0_158 ).
cnf(c_0_232,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| esk30_4(X1,X2,X3,X4) = esk28_4(X1,X2,X3,X4)
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_107 ).
cnf(c_0_233,negated_conjecture,
( in(esk5_4(X1,X2,X3,X2),X2)
| ordered_pair(X2,X3) != esk4_1(X1)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk3_0))
| ~ in(esk4_1(X1),X1)
| ~ in(X2,esk1_0)
| ~ in(X3,X2) ),
inference(er,[status(thm)],[c_0_228]) ).
cnf(c_0_234,negated_conjecture,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_229]),c_0_212]) ).
cnf(c_0_235,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk29_4(X1,X2,X3,X4),esk30_4(X1,X2,X3,X4))
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_106 ).
cnf(c_0_236,negated_conjecture,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)),esk26_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_230]) ).
cnf(c_0_237,plain,
( esk18_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk31_7(X1,X2,X3,ordered_pair(X4,X5),X4,X5,X4),X4)
| in(ordered_pair(X4,X5),esk26_3(X1,X2,X3))
| ~ relation(X2)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X3))
| ~ in(X5,X4)
| ~ in(X4,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_231])])]) ).
cnf(c_0_238,plain,
( empty(X1)
| in(X2,esk26_3(X1,X3,X4))
| in(esk31_7(X1,X3,X4,X2,X5,X6,X7),X7)
| X5 != X7
| X2 != X8
| ordered_pair(X5,X6) != X2
| esk19_2(X1,X3) != esk18_2(X1,X3)
| ~ relation(X3)
| ~ in(X6,X7)
| ~ in(X5,X1)
| ~ in(X8,cartesian_product2(X1,X4)) ),
i_0_50 ).
cnf(c_0_239,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(ordered_pair(esk29_4(X1,X2,X3,X4),X5),X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3))
| ~ in(X5,esk30_4(X1,X2,X3,X4)) ),
i_0_105 ).
cnf(c_0_240,plain,
( esk30_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)) = esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(X1))
| esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk4_1(X1),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_230]),c_0_218])]),c_0_212]) ).
cnf(c_0_241,negated_conjecture,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk5_4(esk26_3(esk1_0,esk2_0,esk3_0),X1,X2,X1),X1)
| ordered_pair(X1,X2) != esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)),esk26_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk1_0)
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_242,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| ordered_pair(esk28_4(X1,X2,X3,X4),esk29_4(X1,X2,X3,X4)) = X4
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_109 ).
cnf(c_0_243,plain,
( esk19_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk28_4(X1,X2,X3,X4),X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_108 ).
cnf(c_0_244,plain,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk30_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_218])]),c_0_212]) ).
cnf(c_0_245,plain,
( esk30_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))) = esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))
| esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_236]),c_0_218])]),c_0_212]) ).
cnf(c_0_246,negated_conjecture,
( esk18_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk31_7(X1,X2,X3,esk4_1(X4),esk8_1(X4),esk7_1(X4),esk8_1(X4)),esk8_1(X4))
| in(esk4_1(X4),esk26_3(X1,X2,X3))
| in(esk4_1(X4),X4)
| ~ relation(X2)
| ~ in(esk4_1(X4),cartesian_product2(X1,X3))
| ~ in(esk8_1(X4),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_207]),c_0_208]) ).
cnf(c_0_247,plain,
( empty(X1)
| in(esk31_7(X1,X2,X3,ordered_pair(X4,X5),X4,X5,X4),X4)
| in(ordered_pair(X4,X5),esk26_3(X1,X2,X3))
| esk18_2(X1,X2) != esk19_2(X1,X2)
| ~ relation(X2)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X3))
| ~ in(X5,X4)
| ~ in(X4,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_238])])]) ).
cnf(c_0_248,plain,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(ordered_pair(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),X2),esk2_0)
| in(esk4_1(X1),X1)
| ~ in(X2,esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(X1))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_218])]),c_0_212]),c_0_230]) ).
cnf(c_0_249,negated_conjecture,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk5_4(esk26_3(esk1_0,esk2_0,esk3_0),X1,X2,X1),X1)
| ordered_pair(X1,X2) != esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk1_0)
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_241,c_0_236]) ).
cnf(c_0_250,plain,
( ordered_pair(esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))
| esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_236]),c_0_218])]),c_0_212]) ).
cnf(c_0_251,plain,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_236]),c_0_218])]),c_0_212]) ).
cnf(c_0_252,plain,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_253,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(X3,esk26_3(X1,X2,X4))
| X5 != X6
| X3 != X7
| ordered_pair(X5,X8) != X3
| ~ relation(X2)
| ~ in(X5,X1)
| ~ in(X8,X6)
| ~ in(X7,cartesian_product2(X1,X4))
| ~ in(ordered_pair(X8,esk31_7(X1,X2,X4,X3,X5,X8,X6)),X2) ),
i_0_157 ).
cnf(c_0_254,negated_conjecture,
( esk18_2(esk1_0,X1) = esk17_2(esk1_0,X1)
| in(esk31_7(esk1_0,X1,esk3_0,esk4_1(X2),esk8_1(X2),esk7_1(X2),esk8_1(X2)),esk8_1(X2))
| in(esk4_1(X2),esk26_3(esk1_0,X1,esk3_0))
| in(esk4_1(X2),X2)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_211]),c_0_212]),c_0_213]) ).
cnf(c_0_255,negated_conjecture,
( empty(X1)
| in(esk31_7(X1,X2,X3,esk4_1(X4),esk8_1(X4),esk7_1(X4),esk8_1(X4)),esk8_1(X4))
| in(esk4_1(X4),esk26_3(X1,X2,X3))
| in(esk4_1(X4),X4)
| esk18_2(X1,X2) != esk19_2(X1,X2)
| ~ relation(X2)
| ~ in(esk4_1(X4),cartesian_product2(X1,X3))
| ~ in(esk8_1(X4),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_207]),c_0_208]) ).
cnf(c_0_256,negated_conjecture,
( X1 != X2
| ordered_pair(X1,X3) != esk4_1(X4)
| ~ in(X3,X2)
| ~ in(X1,esk1_0)
| ~ in(esk4_1(X4),X4)
| ~ in(esk4_1(X4),cartesian_product2(esk1_0,esk3_0))
| ~ in(ordered_pair(X3,esk5_4(X4,X1,X3,X2)),esk2_0) ),
i_0_7 ).
cnf(c_0_257,plain,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(ordered_pair(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),X1),esk2_0)
| ~ in(X1,esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_245]),c_0_218])]),c_0_212]),c_0_248]) ).
cnf(c_0_258,negated_conjecture,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk5_4(esk26_3(esk1_0,esk2_0,esk3_0),esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))),esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]),c_0_252]) ).
cnf(c_0_259,plain,
( esk18_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(ordered_pair(X3,X4),esk26_3(X1,X2,X5))
| ~ relation(X2)
| ~ in(ordered_pair(X4,esk31_7(X1,X2,X5,ordered_pair(X3,X4),X3,X4,X3)),X2)
| ~ in(ordered_pair(X3,X4),cartesian_product2(X1,X5))
| ~ in(X4,X3)
| ~ in(X3,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_253])])]) ).
cnf(c_0_260,negated_conjecture,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk31_7(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk8_1(X1),esk7_1(X1),esk8_1(X1)),esk8_1(X1))
| in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_218]) ).
cnf(c_0_261,negated_conjecture,
( in(esk31_7(esk1_0,X1,esk3_0,esk4_1(X2),esk8_1(X2),esk7_1(X2),esk8_1(X2)),esk8_1(X2))
| in(esk4_1(X2),esk26_3(esk1_0,X1,esk3_0))
| in(esk4_1(X2),X2)
| esk18_2(esk1_0,X1) != esk19_2(esk1_0,X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_211]),c_0_212]),c_0_213]) ).
cnf(c_0_262,negated_conjecture,
( ordered_pair(X1,X2) != esk4_1(X3)
| ~ in(ordered_pair(X2,esk5_4(X3,X1,X2,X1)),esk2_0)
| ~ in(esk4_1(X3),cartesian_product2(esk1_0,esk3_0))
| ~ in(esk4_1(X3),X3)
| ~ in(X1,esk1_0)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_256]) ).
cnf(c_0_263,plain,
( esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(ordered_pair(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk5_4(esk26_3(esk1_0,esk2_0,esk3_0),esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))))),esk2_0) ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_264,negated_conjecture,
( esk18_2(X1,X2) = esk17_2(X1,X2)
| empty(X1)
| in(esk4_1(X3),esk26_3(X1,X2,X4))
| in(esk4_1(X3),X3)
| ~ relation(X2)
| ~ in(ordered_pair(esk7_1(X3),esk31_7(X1,X2,X4,esk4_1(X3),esk8_1(X3),esk7_1(X3),esk8_1(X3))),X2)
| ~ in(esk4_1(X3),cartesian_product2(X1,X4))
| ~ in(esk8_1(X3),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_207]),c_0_208]) ).
cnf(c_0_265,negated_conjecture,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(ordered_pair(esk7_1(X1),esk31_7(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk8_1(X1),esk7_1(X1),esk8_1(X1))),esk2_0)
| in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_260]) ).
cnf(c_0_266,plain,
( empty(X1)
| in(X2,esk26_3(X1,X3,X4))
| X5 != X6
| X2 != X7
| ordered_pair(X5,X8) != X2
| esk19_2(X1,X3) != esk18_2(X1,X3)
| ~ relation(X3)
| ~ in(X5,X1)
| ~ in(X8,X6)
| ~ in(X7,cartesian_product2(X1,X4))
| ~ in(ordered_pair(X8,esk31_7(X1,X3,X4,X2,X5,X8,X6)),X3) ),
i_0_49 ).
cnf(c_0_267,negated_conjecture,
( in(esk31_7(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk8_1(X1),esk7_1(X1),esk8_1(X1)),esk8_1(X1))
| in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk18_2(esk1_0,esk2_0) != esk19_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_261,c_0_218]) ).
cnf(c_0_268,negated_conjecture,
esk19_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_234]),c_0_236]),c_0_251]),c_0_252]),c_0_250]) ).
cnf(c_0_269,negated_conjecture,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_218])]),c_0_212]),c_0_213]),c_0_211]) ).
cnf(c_0_270,plain,
( empty(X1)
| in(ordered_pair(X2,X3),esk26_3(X1,X4,X5))
| esk18_2(X1,X4) != esk19_2(X1,X4)
| ~ relation(X4)
| ~ in(ordered_pair(X3,esk31_7(X1,X4,X5,ordered_pair(X2,X3),X2,X3,X2)),X4)
| ~ in(ordered_pair(X2,X3),cartesian_product2(X1,X5))
| ~ in(X3,X2)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_266])])]) ).
cnf(c_0_271,negated_conjecture,
( in(esk31_7(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk8_1(X1),esk7_1(X1),esk8_1(X1)),esk8_1(X1))
| in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_268]),c_0_269]) ).
cnf(c_0_272,negated_conjecture,
( empty(X1)
| in(esk4_1(X2),esk26_3(X1,X3,X4))
| in(esk4_1(X2),X2)
| esk18_2(X1,X3) != esk19_2(X1,X3)
| ~ relation(X3)
| ~ in(ordered_pair(esk7_1(X2),esk31_7(X1,X3,X4,esk4_1(X2),esk8_1(X2),esk7_1(X2),esk8_1(X2))),X3)
| ~ in(esk4_1(X2),cartesian_product2(X1,X4))
| ~ in(esk8_1(X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_207]),c_0_208]) ).
cnf(c_0_273,negated_conjecture,
( in(ordered_pair(esk7_1(X1),esk31_7(esk1_0,esk2_0,esk3_0,esk4_1(X1),esk8_1(X1),esk7_1(X1),esk8_1(X1))),esk2_0)
| in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_271]) ).
cnf(c_0_274,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| esk30_4(X1,X2,X3,X4) = esk28_4(X1,X2,X3,X4)
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_161 ).
cnf(c_0_275,negated_conjecture,
( in(esk4_1(X1),esk26_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_268]),c_0_218])]),c_0_212]),c_0_213]),c_0_211]),c_0_269]) ).
cnf(c_0_276,negated_conjecture,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)),esk26_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_269]) ).
cnf(c_0_277,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(ordered_pair(esk29_4(X1,X2,X3,X4),X5),X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3))
| ~ in(X5,esk30_4(X1,X2,X3,X4)) ),
i_0_159 ).
cnf(c_0_278,plain,
( esk30_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)) = esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(X1))
| esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk4_1(X1),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_269]),c_0_218])]),c_0_212]) ).
cnf(c_0_279,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(esk27_4(X1,X2,X3,X4),cartesian_product2(X1,X3))
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_165 ).
cnf(c_0_280,plain,
( esk27_4(X1,X2,X3,X4) = X4
| esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_164 ).
cnf(c_0_281,plain,
( esk30_4(X1,X2,X3,X4) = esk28_4(X1,X2,X3,X4)
| empty(X1)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_53 ).
cnf(c_0_282,negated_conjecture,
in(esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)),esk26_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_275]) ).
cnf(c_0_283,plain,
( esk30_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))) = esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))
| esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_276]),c_0_218])]),c_0_212]) ).
cnf(c_0_284,plain,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(ordered_pair(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)),X2),esk2_0)
| in(esk4_1(X1),X1)
| ~ in(X2,esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(X1))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_218])]),c_0_212]),c_0_269]) ).
cnf(c_0_285,plain,
( empty(X1)
| in(esk27_4(X1,X2,X3,X4),cartesian_product2(X1,X3))
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_57 ).
cnf(c_0_286,plain,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk27_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),cartesian_product2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_276]),c_0_218])]),c_0_212]) ).
cnf(c_0_287,plain,
( esk27_4(X1,X2,X3,X4) = X4
| empty(X1)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_56 ).
cnf(c_0_288,plain,
( esk27_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))
| esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_276]),c_0_218])]),c_0_212]) ).
cnf(c_0_289,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(esk29_4(X1,X2,X3,X4),esk30_4(X1,X2,X3,X4))
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_160 ).
cnf(c_0_290,plain,
( empty(X1)
| in(ordered_pair(esk29_4(X1,X2,X3,X4),X5),X2)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3))
| ~ in(X5,esk30_4(X1,X2,X3,X4)) ),
i_0_51 ).
cnf(c_0_291,plain,
esk30_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))) = esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_268]),c_0_218])]),c_0_212]),c_0_283]) ).
cnf(c_0_292,plain,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(ordered_pair(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),X1),esk2_0)
| ~ in(X1,esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_283]),c_0_218])]),c_0_212]),c_0_284]) ).
cnf(c_0_293,plain,
in(esk27_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),cartesian_product2(esk1_0,esk3_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_282]),c_0_268]),c_0_218])]),c_0_212]),c_0_286]) ).
cnf(c_0_294,plain,
esk27_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_282]),c_0_268]),c_0_218])]),c_0_212]),c_0_288]) ).
cnf(c_0_295,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| ordered_pair(esk28_4(X1,X2,X3,X4),esk29_4(X1,X2,X3,X4)) = X4
| empty(X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_163 ).
cnf(c_0_296,plain,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk30_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_276]),c_0_218])]),c_0_212]) ).
cnf(c_0_297,plain,
( esk17_2(X1,X2) = esk18_2(X1,X2)
| empty(X1)
| in(esk28_4(X1,X2,X3,X4),X1)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_162 ).
cnf(c_0_298,plain,
( in(ordered_pair(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),X1),esk2_0)
| ~ in(X1,esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_268]),c_0_218]),c_0_282])]),c_0_212]),c_0_292]) ).
cnf(c_0_299,plain,
in(esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk3_0)),
inference(rw,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_300,plain,
( ordered_pair(esk28_4(X1,X2,X3,X4),esk29_4(X1,X2,X3,X4)) = X4
| empty(X1)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_55 ).
cnf(c_0_301,plain,
( ordered_pair(esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))
| esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_276]),c_0_218])]),c_0_212]) ).
cnf(c_0_302,plain,
( empty(X1)
| in(esk29_4(X1,X2,X3,X4),esk30_4(X1,X2,X3,X4))
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_52 ).
cnf(c_0_303,plain,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[c_0_296,c_0_283]) ).
cnf(c_0_304,plain,
( empty(X1)
| in(esk28_4(X1,X2,X3,X4),X1)
| esk19_2(X1,X2) != esk18_2(X1,X2)
| ~ relation(X2)
| ~ in(X4,esk26_3(X1,X2,X3)) ),
i_0_54 ).
cnf(c_0_305,plain,
( esk18_2(esk1_0,esk2_0) = esk17_2(esk1_0,esk2_0)
| in(esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_276]),c_0_218])]),c_0_212]) ).
cnf(c_0_306,negated_conjecture,
( ordered_pair(X1,esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) != esk4_1(X2)
| ~ in(esk5_4(X2,X1,esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),X1),esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))))
| ~ in(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),X1)
| ~ in(esk4_1(X2),cartesian_product2(esk1_0,esk3_0))
| ~ in(esk4_1(X2),X2)
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_262,c_0_298]) ).
cnf(c_0_307,negated_conjecture,
( in(esk5_4(esk26_3(esk1_0,esk2_0,esk3_0),X1,X2,X1),X1)
| ordered_pair(X1,X2) != esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk1_0)
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_299]),c_0_282])]) ).
cnf(c_0_308,plain,
ordered_pair(esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_282]),c_0_268]),c_0_218])]),c_0_212]),c_0_301]) ).
cnf(c_0_309,plain,
in(esk29_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0)))),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_282]),c_0_268]),c_0_218])]),c_0_212]),c_0_291]),c_0_303]) ).
cnf(c_0_310,plain,
in(esk28_4(esk1_0,esk2_0,esk3_0,esk4_1(esk26_3(esk1_0,esk2_0,esk3_0))),esk1_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_282]),c_0_268]),c_0_218])]),c_0_212]),c_0_305]) ).
cnf(c_0_311,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]),c_0_309]),c_0_299]),c_0_282]),c_0_310])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU286+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 05:40:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected complete mode:
% 83.79/11.93 # ENIGMATIC: Solved by autoschedule-lgb:
% 83.79/11.93 # No SInE strategy applied
% 83.79/11.93 # Trying AutoSched0 for 150 seconds
% 83.79/11.93 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 83.79/11.93 # and selection function SelectComplexExceptUniqMaxHorn.
% 83.79/11.93 #
% 83.79/11.93 # Preprocessing time : 0.028 s
% 83.79/11.93 # Presaturation interreduction done
% 83.79/11.93
% 83.79/11.93 # Proof found!
% 83.79/11.93 # SZS status Theorem
% 83.79/11.93 # SZS output start CNFRefutation
% See solution above
% 83.79/11.93 # Training examples: 0 positive, 0 negative
% 83.79/11.93
% 83.79/11.93 # -------------------------------------------------
% 83.79/11.93 # User time : 9.401 s
% 83.79/11.93 # System time : 0.213 s
% 83.79/11.93 # Total time : 9.614 s
% 83.79/11.93 # Maximum resident set size: 7124 pages
% 83.79/11.93
%------------------------------------------------------------------------------