TSTP Solution File: SEU277+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:40:20 EDT 2022
% Result : Theorem 8.64s 2.43s
% Output : CNFRefutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of clauses : 84 ( 13 unt; 51 nHn; 71 RR)
% Number of literals : 359 ( 95 equ; 217 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 202 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_62,plain,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| in(X4,esk22_3(X1,X2,X3))
| X5 != X4
| X4 != ordered_pair(X6,X7)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X5,cartesian_product2(X1,X1))
| ~ in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_62) ).
cnf(i_0_77,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(X4,esk22_3(X1,X2,X3))
| X5 != X4
| X4 != ordered_pair(X6,X7)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X5,cartesian_product2(X1,X1))
| ~ in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_77) ).
cnf(i_0_2,negated_conjecture,
( ordered_pair(esk5_1(X1),esk6_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_3) ).
cnf(i_0_47,plain,
( in(X1,esk22_3(X2,X3,X4))
| X5 != X1
| X1 != ordered_pair(X6,X7)
| esk17_3(X2,X3,X4) != esk16_3(X2,X3,X4)
| ~ relation(X3)
| ~ relation(X4)
| ~ function(X4)
| ~ in(X5,cartesian_product2(X2,X2))
| ~ in(ordered_pair(apply(X4,X6),apply(X4,X7)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_47) ).
cnf(i_0_1,negated_conjecture,
( in(esk4_1(X1),X1)
| in(ordered_pair(apply(esk3_0,esk5_1(X1)),apply(esk3_0,esk6_1(X1))),esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_1) ).
cnf(i_0_5,negated_conjecture,
function(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
relation(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
relation(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_7) ).
cnf(i_0_66,plain,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_66) ).
cnf(i_0_65,plain,
( esk23_4(X1,X2,X3,X4) = X4
| esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_65) ).
cnf(i_0_81,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_81) ).
cnf(i_0_80,plain,
( esk23_4(X1,X2,X3,X4) = X4
| esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_80) ).
cnf(i_0_51,plain,
( in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))
| esk17_3(X1,X2,X3) != esk16_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_51) ).
cnf(i_0_50,plain,
( esk23_4(X1,X2,X3,X4) = X4
| esk17_3(X1,X2,X3) != esk16_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_50) ).
cnf(i_0_64,plain,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) = X4
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_64) ).
cnf(i_0_63,plain,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| in(ordered_pair(apply(X3,esk24_4(X1,X2,X3,X4)),apply(X3,esk25_4(X1,X2,X3,X4))),X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_63) ).
cnf(i_0_4,negated_conjecture,
( esk4_1(X1) != ordered_pair(X2,X3)
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(ordered_pair(apply(esk3_0,X2),apply(esk3_0,X3)),esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_4) ).
cnf(i_0_79,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) = X4
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_79) ).
cnf(i_0_78,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(ordered_pair(apply(X3,esk24_4(X1,X2,X3,X4)),apply(X3,esk25_4(X1,X2,X3,X4))),X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_78) ).
cnf(i_0_49,plain,
( ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) = X4
| esk17_3(X1,X2,X3) != esk16_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_49) ).
cnf(i_0_48,plain,
( in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3)
| esk17_3(X2,X3,X1) != esk16_3(X2,X3,X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X4,esk22_3(X2,X3,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qpofr7ai/lgb.p',i_0_48) ).
cnf(c_0_104,plain,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| in(X4,esk22_3(X1,X2,X3))
| X5 != X4
| X4 != ordered_pair(X6,X7)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X5,cartesian_product2(X1,X1))
| ~ in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ),
i_0_62 ).
cnf(c_0_105,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(X4,esk22_3(X1,X2,X3))
| X5 != X4
| X4 != ordered_pair(X6,X7)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X5,cartesian_product2(X1,X1))
| ~ in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ),
i_0_77 ).
cnf(c_0_106,plain,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))
| ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_104])]) ).
cnf(c_0_107,negated_conjecture,
( ordered_pair(esk5_1(X1),esk6_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
i_0_2 ).
cnf(c_0_108,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))
| ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_105])]) ).
cnf(c_0_109,negated_conjecture,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| in(esk4_1(X4),esk22_3(X1,X2,X3))
| in(esk4_1(X4),X4)
| ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(ordered_pair(apply(X3,esk5_1(X4)),apply(X3,esk6_1(X4))),X2)
| ~ in(esk4_1(X4),cartesian_product2(X1,X1)) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0)) ),
i_0_3 ).
cnf(c_0_111,negated_conjecture,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(esk4_1(X4),esk22_3(X1,X2,X3))
| in(esk4_1(X4),X4)
| ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(ordered_pair(apply(X3,esk5_1(X4)),apply(X3,esk6_1(X4))),X2)
| ~ in(esk4_1(X4),cartesian_product2(X1,X1)) ),
inference(spm,[status(thm)],[c_0_108,c_0_107]) ).
cnf(c_0_112,plain,
( in(X1,esk22_3(X2,X3,X4))
| X5 != X1
| X1 != ordered_pair(X6,X7)
| esk17_3(X2,X3,X4) != esk16_3(X2,X3,X4)
| ~ relation(X3)
| ~ relation(X4)
| ~ function(X4)
| ~ in(X5,cartesian_product2(X2,X2))
| ~ in(ordered_pair(apply(X4,X6),apply(X4,X7)),X3) ),
i_0_47 ).
cnf(c_0_113,negated_conjecture,
( esk17_3(esk1_0,X1,X2) = esk15_3(esk1_0,X1,X2)
| in(esk4_1(X3),esk22_3(esk1_0,X1,X2))
| in(esk4_1(X3),X3)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(ordered_pair(apply(X2,esk5_1(X3)),apply(X2,esk6_1(X3))),X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
( in(esk4_1(X1),X1)
| in(ordered_pair(apply(esk3_0,esk5_1(X1)),apply(esk3_0,esk6_1(X1))),esk2_0) ),
i_0_1 ).
cnf(c_0_115,negated_conjecture,
function(esk3_0),
i_0_5 ).
cnf(c_0_116,negated_conjecture,
relation(esk3_0),
i_0_6 ).
cnf(c_0_117,negated_conjecture,
relation(esk2_0),
i_0_7 ).
cnf(c_0_118,negated_conjecture,
( esk15_3(esk1_0,X1,X2) = esk16_3(esk1_0,X1,X2)
| in(esk4_1(X3),esk22_3(esk1_0,X1,X2))
| in(esk4_1(X3),X3)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(ordered_pair(apply(X2,esk5_1(X3)),apply(X2,esk6_1(X3))),X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_110]) ).
cnf(c_0_119,plain,
( in(ordered_pair(X1,X2),esk22_3(X3,X4,X5))
| esk17_3(X3,X4,X5) != esk16_3(X3,X4,X5)
| ~ function(X5)
| ~ relation(X5)
| ~ relation(X4)
| ~ in(ordered_pair(apply(X5,X1),apply(X5,X2)),X4)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X3)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_112])]) ).
cnf(c_0_120,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk15_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_121,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_114]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_122,plain,
( in(ordered_pair(X1,X2),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X3),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| ~ in(ordered_pair(apply(esk3_0,X1),apply(esk3_0,X2)),esk2_0)
| ~ in(ordered_pair(X1,X2),cartesian_product2(esk1_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_115]),c_0_116]),c_0_117])]),c_0_121]) ).
cnf(c_0_123,negated_conjecture,
( in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_107]),c_0_110]),c_0_114]) ).
cnf(c_0_124,negated_conjecture,
( in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(ef,[status(thm)],[c_0_123]) ).
cnf(c_0_125,plain,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_66 ).
cnf(c_0_126,negated_conjecture,
in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),esk22_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_124]) ).
cnf(c_0_127,plain,
( esk23_4(X1,X2,X3,X4) = X4
| esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_65 ).
cnf(c_0_128,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_81 ).
cnf(c_0_129,plain,
( esk23_4(X1,X2,X3,X4) = X4
| esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_80 ).
cnf(c_0_130,plain,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk15_3(esk1_0,esk2_0,esk3_0)
| in(esk23_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),cartesian_product2(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_131,negated_conjecture,
( esk23_4(X1,X2,X3,esk4_1(esk22_3(X1,X2,X3))) = esk4_1(esk22_3(X1,X2,X3))
| esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| in(esk4_1(esk22_3(X1,X2,X3)),cartesian_product2(esk1_0,esk1_0))
| ~ function(X3)
| ~ relation(X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_110]) ).
cnf(c_0_132,plain,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk23_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),cartesian_product2(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_126]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_133,negated_conjecture,
( esk23_4(X1,X2,X3,esk4_1(esk22_3(X1,X2,X3))) = esk4_1(esk22_3(X1,X2,X3))
| esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(esk4_1(esk22_3(X1,X2,X3)),cartesian_product2(esk1_0,esk1_0))
| ~ function(X3)
| ~ relation(X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_110]) ).
cnf(c_0_134,plain,
( in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))
| esk17_3(X1,X2,X3) != esk16_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_51 ).
cnf(c_0_135,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk15_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_136,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_137,plain,
( esk23_4(X1,X2,X3,X4) = X4
| esk17_3(X1,X2,X3) != esk16_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_50 ).
cnf(c_0_138,plain,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) = X4
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_64 ).
cnf(c_0_139,plain,
( esk17_3(X1,X2,X3) = esk15_3(X1,X2,X3)
| in(ordered_pair(apply(X3,esk24_4(X1,X2,X3,X4)),apply(X3,esk25_4(X1,X2,X3,X4))),X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_63 ).
cnf(c_0_140,plain,
( in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0))
| in(esk23_4(esk1_0,esk2_0,esk3_0,X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_115]),c_0_116]),c_0_117])]),c_0_136]) ).
cnf(c_0_141,plain,
( esk23_4(esk1_0,esk2_0,esk3_0,X1) = X1
| in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0))
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_135]),c_0_115]),c_0_116]),c_0_117])]),c_0_136]) ).
cnf(c_0_142,negated_conjecture,
( esk4_1(X1) != ordered_pair(X2,X3)
| ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(ordered_pair(apply(esk3_0,X2),apply(esk3_0,X3)),esk2_0) ),
i_0_4 ).
cnf(c_0_143,plain,
( ordered_pair(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| esk17_3(esk1_0,esk2_0,esk3_0) = esk15_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_126]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_144,plain,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk15_3(esk1_0,esk2_0,esk3_0)
| in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_126]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_145,negated_conjecture,
( in(esk23_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),cartesian_product2(esk1_0,esk1_0))
| in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_140,c_0_110]) ).
cnf(c_0_146,negated_conjecture,
( esk23_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_141,c_0_110]) ).
cnf(c_0_147,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) = X4
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_79 ).
cnf(c_0_148,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(ordered_pair(apply(X3,esk24_4(X1,X2,X3,X4)),apply(X3,esk25_4(X1,X2,X3,X4))),X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_78 ).
cnf(c_0_149,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk15_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_150,negated_conjecture,
in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,plain,
( ordered_pair(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_126]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_152,plain,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_126]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_153,plain,
( ordered_pair(esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) = X4
| esk17_3(X1,X2,X3) != esk16_3(X1,X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(X4,esk22_3(X1,X2,X3)) ),
i_0_49 ).
cnf(c_0_154,negated_conjecture,
esk17_3(esk1_0,esk2_0,esk3_0) = esk15_3(esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_149]),c_0_150]),c_0_126])]) ).
cnf(c_0_155,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_151]),c_0_152]) ).
cnf(c_0_156,plain,
( ordered_pair(esk24_4(esk1_0,esk2_0,esk3_0,X1),esk25_4(esk1_0,esk2_0,esk3_0,X1)) = X1
| esk15_3(esk1_0,esk2_0,esk3_0) != esk16_3(esk1_0,esk2_0,esk3_0)
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_157,negated_conjecture,
esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_155]),c_0_150]),c_0_126])]) ).
cnf(c_0_158,plain,
( ordered_pair(esk24_4(esk1_0,esk2_0,esk3_0,X1),esk25_4(esk1_0,esk2_0,esk3_0,X1)) = X1
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157])]) ).
cnf(c_0_159,plain,
( in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3)
| esk17_3(X2,X3,X1) != esk16_3(X2,X3,X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X4,esk22_3(X2,X3,X1)) ),
i_0_48 ).
cnf(c_0_160,negated_conjecture,
ordered_pair(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_158,c_0_126]) ).
cnf(c_0_161,plain,
( in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,X1)),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,X1))),esk2_0)
| esk15_3(esk1_0,esk2_0,esk3_0) != esk16_3(esk1_0,esk2_0,esk3_0)
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_154]),c_0_115]),c_0_117]),c_0_116])]) ).
cnf(c_0_162,negated_conjecture,
( esk4_1(X1) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| ~ in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))))),esk2_0)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_160]) ).
cnf(c_0_163,plain,
( in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,X1)),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,X1))),esk2_0)
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_157])]) ).
cnf(c_0_164,negated_conjecture,
~ in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))))),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_162]),c_0_150]),c_0_126])]) ).
cnf(c_0_165,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_126]),c_0_164]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n013.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 21:14:01 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.64/2.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.64/2.43 # No SInE strategy applied
% 8.64/2.43 # Trying AutoSched0 for 150 seconds
% 8.64/2.43 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 8.64/2.43 # and selection function SelectCQIPrecWNTNp.
% 8.64/2.43 #
% 8.64/2.43 # Preprocessing time : 0.024 s
% 8.64/2.43 # Presaturation interreduction done
% 8.64/2.43
% 8.64/2.43 # Proof found!
% 8.64/2.43 # SZS status Theorem
% 8.64/2.43 # SZS output start CNFRefutation
% See solution above
% 8.64/2.43 # Training examples: 0 positive, 0 negative
% 8.64/2.43
% 8.64/2.43 # -------------------------------------------------
% 8.64/2.43 # User time : 0.044 s
% 8.64/2.43 # System time : 0.005 s
% 8.64/2.43 # Total time : 0.050 s
% 8.64/2.43 # Maximum resident set size: 7124 pages
% 8.64/2.43
%------------------------------------------------------------------------------