TSTP Solution File: SET684+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET684+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 00:13:26 EDT 2022
% Result : Theorem 11.74s 2.95s
% Output : CNFRefutation 11.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of clauses : 115 ( 25 unt; 43 nHn; 104 RR)
% Number of literals : 314 ( 5 equ; 169 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-5 aty)
% Number of variables : 165 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_10) ).
cnf(i_0_54,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_54) ).
cnf(i_0_51,plain,
( relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_51) ).
cnf(i_0_61,negated_conjecture,
ilf_type(esk16_0,relation_type(esk13_0,esk14_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_61) ).
cnf(i_0_24,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_24) ).
cnf(i_0_62,negated_conjecture,
ilf_type(esk15_0,relation_type(esk12_0,esk13_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_62) ).
cnf(i_0_18,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_18) ).
cnf(i_0_52,plain,
( compose5(X1,X2,X3,X4,X5) = compose(X4,X5)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X5,relation_type(X2,X3))
| ~ ilf_type(X4,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_52) ).
cnf(i_0_1,plain,
( member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X5,set_type)
| ~ member(ordered_pair(X1,X5),X3)
| ~ member(ordered_pair(X5,X2),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_1) ).
cnf(i_0_13,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_13) ).
cnf(i_0_55,negated_conjecture,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_55) ).
cnf(i_0_56,negated_conjecture,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_56) ).
cnf(i_0_3,plain,
( member(ordered_pair(X1,esk1_4(X1,X2,X3,X4)),X3)
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),compose(X3,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_3) ).
cnf(i_0_39,plain,
( member(X1,power_set(X2))
| member(esk8_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_39) ).
cnf(i_0_14,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_14) ).
cnf(i_0_5,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X5,relation_type(X3,X2))
| ~ member(ordered_pair(X4,X1),X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_5) ).
cnf(i_0_43,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_43) ).
cnf(i_0_41,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X3,power_set(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_41) ).
cnf(i_0_2,plain,
( member(ordered_pair(esk1_4(X1,X2,X3,X4),X2),X4)
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),compose(X3,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_2) ).
cnf(i_0_58,negated_conjecture,
( ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_58) ).
cnf(i_0_57,negated_conjecture,
( ilf_type(esk19_0,member_type(esk13_0))
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7lp4rwpe/lgb.p',i_0_57) ).
cnf(c_0_84,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
i_0_10 ).
cnf(c_0_85,plain,
ilf_type(X1,set_type),
i_0_54 ).
cnf(c_0_86,plain,
( relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
i_0_51 ).
cnf(c_0_87,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_85])]) ).
cnf(c_0_88,negated_conjecture,
ilf_type(esk16_0,relation_type(esk13_0,esk14_0)),
i_0_61 ).
cnf(c_0_89,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_24 ).
cnf(c_0_90,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_85]),c_0_85])]) ).
cnf(c_0_91,negated_conjecture,
ilf_type(esk16_0,subset_type(cross_product(esk13_0,esk14_0))),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,negated_conjecture,
ilf_type(esk15_0,relation_type(esk12_0,esk13_0)),
i_0_62 ).
cnf(c_0_93,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_18 ).
cnf(c_0_94,plain,
( compose5(X1,X2,X3,X4,X5) = compose(X4,X5)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X5,relation_type(X2,X3))
| ~ ilf_type(X4,relation_type(X1,X2)) ),
i_0_52 ).
cnf(c_0_95,plain,
( member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X5,set_type)
| ~ member(ordered_pair(X1,X5),X3)
| ~ member(ordered_pair(X5,X2),X4) ),
i_0_1 ).
cnf(c_0_96,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_85])]) ).
cnf(c_0_97,plain,
relation_like(esk16_0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
ilf_type(esk15_0,subset_type(cross_product(esk12_0,esk13_0))),
inference(spm,[status(thm)],[c_0_87,c_0_92]) ).
cnf(c_0_99,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_13 ).
cnf(c_0_100,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_85]),c_0_85])]) ).
cnf(c_0_101,plain,
( compose5(X1,X2,X3,X4,X5) = compose(X4,X5)
| ~ ilf_type(X5,relation_type(X2,X3))
| ~ ilf_type(X4,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_85]),c_0_85]),c_0_85])]) ).
cnf(c_0_102,plain,
( member(ordered_pair(X1,X2),compose(X3,X4))
| ~ member(ordered_pair(X5,X2),X4)
| ~ member(ordered_pair(X1,X5),X3)
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_85]),c_0_85]),c_0_85])]) ).
cnf(c_0_103,plain,
ilf_type(esk16_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,plain,
relation_like(esk15_0),
inference(spm,[status(thm)],[c_0_90,c_0_98]) ).
cnf(c_0_105,plain,
( ilf_type(X1,member_type(X2))
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_85]),c_0_85])]),c_0_100]) ).
cnf(c_0_106,negated_conjecture,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
i_0_55 ).
cnf(c_0_107,negated_conjecture,
( compose5(X1,esk13_0,esk14_0,X2,esk16_0) = compose(X2,esk16_0)
| ~ ilf_type(X2,relation_type(X1,esk13_0)) ),
inference(spm,[status(thm)],[c_0_101,c_0_88]) ).
cnf(c_0_108,plain,
( member(ordered_pair(X1,X2),compose(X3,esk16_0))
| ~ member(ordered_pair(X4,X2),esk16_0)
| ~ member(ordered_pair(X1,X4),X3)
| ~ ilf_type(X3,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,plain,
ilf_type(esk15_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_96,c_0_104]) ).
cnf(c_0_110,plain,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| ilf_type(ordered_pair(esk17_0,esk18_0),member_type(compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0))) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0) = compose(esk15_0,esk16_0),
inference(spm,[status(thm)],[c_0_107,c_0_92]) ).
cnf(c_0_112,negated_conjecture,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
i_0_56 ).
cnf(c_0_113,plain,
( member(ordered_pair(X1,X2),compose(esk15_0,esk16_0))
| ~ member(ordered_pair(X3,X2),esk16_0)
| ~ member(ordered_pair(X1,X3),esk15_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_114,plain,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| ilf_type(ordered_pair(esk17_0,esk18_0),member_type(compose(esk15_0,esk16_0))) ),
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ilf_type(ordered_pair(esk17_0,esk18_0),member_type(compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0))) ),
inference(spm,[status(thm)],[c_0_105,c_0_112]) ).
cnf(c_0_116,plain,
( member(ordered_pair(X1,esk1_4(X1,X2,X3,X4)),X3)
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),compose(X3,X4)) ),
i_0_3 ).
cnf(c_0_117,plain,
( member(X1,power_set(X2))
| member(esk8_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_39 ).
cnf(c_0_118,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_14 ).
cnf(c_0_119,plain,
( member(ordered_pair(X1,esk18_0),compose(esk15_0,esk16_0))
| ilf_type(ordered_pair(esk17_0,esk18_0),member_type(compose(esk15_0,esk16_0)))
| ~ member(ordered_pair(X1,esk19_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_120,plain,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ilf_type(ordered_pair(esk17_0,esk18_0),member_type(compose(esk15_0,esk16_0))) ),
inference(rw,[status(thm)],[c_0_115,c_0_111]) ).
cnf(c_0_121,plain,
( member(ordered_pair(X1,esk1_4(X1,X2,X3,X4)),X3)
| ~ member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_85]),c_0_85])]) ).
cnf(c_0_122,plain,
( member(esk8_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_85]),c_0_85])]) ).
cnf(c_0_123,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X2,member_type(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_85]),c_0_85])]) ).
cnf(c_0_124,plain,
ilf_type(ordered_pair(esk17_0,esk18_0),member_type(compose(esk15_0,esk16_0))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_105]) ).
cnf(c_0_125,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X5,relation_type(X3,X2))
| ~ member(ordered_pair(X4,X1),X5) ),
i_0_5 ).
cnf(c_0_126,plain,
( member(ordered_pair(X1,esk1_4(X1,X2,X3,esk16_0)),X3)
| ~ member(ordered_pair(X1,X2),compose(X3,esk16_0))
| ~ ilf_type(X3,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_121,c_0_103]) ).
cnf(c_0_127,plain,
( member(X1,power_set(X2))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_122]) ).
cnf(c_0_128,plain,
( empty(compose(esk15_0,esk16_0))
| member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,plain,
( member(X1,X2)
| ~ member(ordered_pair(X3,X1),X4)
| ~ ilf_type(X4,relation_type(X5,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_85]),c_0_85]),c_0_85]),c_0_85])]) ).
cnf(c_0_130,plain,
( member(ordered_pair(X1,esk1_4(X1,X2,esk15_0,esk16_0)),esk15_0)
| ~ member(ordered_pair(X1,X2),compose(esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_126,c_0_109]) ).
cnf(c_0_131,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| member(ordered_pair(esk19_0,esk18_0),esk16_0) ),
inference(rw,[status(thm)],[c_0_106,c_0_111]) ).
cnf(c_0_132,plain,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| member(compose(esk15_0,esk16_0),power_set(X1)) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_133,negated_conjecture,
( member(X1,esk13_0)
| ~ member(ordered_pair(X2,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_92]) ).
cnf(c_0_134,negated_conjecture,
( member(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),esk15_0)
| member(ordered_pair(esk19_0,esk18_0),esk16_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| member(ordered_pair(esk17_0,esk19_0),esk15_0) ),
inference(rw,[status(thm)],[c_0_112,c_0_111]) ).
cnf(c_0_136,plain,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| ilf_type(compose(esk15_0,esk16_0),member_type(power_set(X1))) ),
inference(spm,[status(thm)],[c_0_105,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( member(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),esk13_0)
| member(ordered_pair(esk19_0,esk18_0),esk16_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_138,negated_conjecture,
( member(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),esk15_0)
| member(ordered_pair(esk17_0,esk19_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_135]) ).
cnf(c_0_139,plain,
( member(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),esk15_0)
| ilf_type(compose(esk15_0,esk16_0),member_type(power_set(X1))) ),
inference(spm,[status(thm)],[c_0_130,c_0_136]) ).
cnf(c_0_140,plain,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| ilf_type(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_137]) ).
cnf(c_0_141,negated_conjecture,
( member(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),esk13_0)
| member(ordered_pair(esk17_0,esk19_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_138]) ).
cnf(c_0_142,negated_conjecture,
( member(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),esk13_0)
| ilf_type(compose(esk15_0,esk16_0),member_type(power_set(X1))) ),
inference(spm,[status(thm)],[c_0_133,c_0_139]) ).
cnf(c_0_143,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_43 ).
cnf(c_0_144,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X3,power_set(X2)) ),
i_0_41 ).
cnf(c_0_145,plain,
( member(ordered_pair(X1,esk18_0),compose(esk15_0,esk16_0))
| ilf_type(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),member_type(esk13_0))
| ~ member(ordered_pair(X1,esk19_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_140]) ).
cnf(c_0_146,plain,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ilf_type(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_141]) ).
cnf(c_0_147,plain,
( ilf_type(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),member_type(esk13_0))
| ilf_type(compose(esk15_0,esk16_0),member_type(power_set(X1))) ),
inference(spm,[status(thm)],[c_0_105,c_0_142]) ).
cnf(c_0_148,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_85])]) ).
cnf(c_0_149,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_85]),c_0_85]),c_0_85])]) ).
cnf(c_0_150,plain,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| ilf_type(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,plain,
( member(compose(esk15_0,esk16_0),power_set(X1))
| ilf_type(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),member_type(esk13_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_147]),c_0_148]) ).
cnf(c_0_152,plain,
( member(ordered_pair(esk19_0,esk18_0),esk16_0)
| ilf_type(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),member_type(esk15_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_134]) ).
cnf(c_0_153,plain,
( member(ordered_pair(esk17_0,esk18_0),X1)
| ilf_type(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),member_type(esk13_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_154,plain,
( member(ordered_pair(X1,esk18_0),compose(esk15_0,esk16_0))
| ilf_type(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),member_type(esk15_0))
| ~ member(ordered_pair(X1,esk19_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_152]) ).
cnf(c_0_155,plain,
( member(ordered_pair(esk17_0,esk19_0),esk15_0)
| ilf_type(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),member_type(esk15_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_138]) ).
cnf(c_0_156,plain,
( member(ordered_pair(esk1_4(X1,X2,X3,X4),X2),X4)
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),compose(X3,X4)) ),
i_0_2 ).
cnf(c_0_157,negated_conjecture,
( ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
i_0_58 ).
cnf(c_0_158,plain,
( member(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),esk15_0)
| ilf_type(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_130,c_0_153]) ).
cnf(c_0_159,plain,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| ilf_type(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),member_type(esk15_0)) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_160,plain,
( member(ordered_pair(esk1_4(X1,X2,X3,X4),X2),X4)
| ~ member(ordered_pair(X1,X2),compose(X3,X4))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_85]),c_0_85])]) ).
cnf(c_0_161,negated_conjecture,
( ~ member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| ~ member(ordered_pair(X1,esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,X1),esk15_0)
| ~ ilf_type(X1,member_type(esk13_0)) ),
inference(rw,[status(thm)],[c_0_157,c_0_111]) ).
cnf(c_0_162,negated_conjecture,
ilf_type(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),member_type(esk13_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_158]),c_0_105]) ).
cnf(c_0_163,plain,
ilf_type(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),member_type(esk15_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_159]),c_0_105]) ).
cnf(c_0_164,plain,
~ empty(esk15_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_138]),c_0_100]) ).
cnf(c_0_165,plain,
( member(ordered_pair(esk1_4(X1,X2,X3,esk16_0),X2),esk16_0)
| ~ member(ordered_pair(X1,X2),compose(X3,esk16_0))
| ~ ilf_type(X3,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_160,c_0_103]) ).
cnf(c_0_166,negated_conjecture,
( ~ member(ordered_pair(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),esk18_0),esk16_0)
| ~ member(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_113]) ).
cnf(c_0_167,plain,
member(ordered_pair(esk17_0,esk1_4(esk17_0,esk18_0,esk15_0,esk16_0)),esk15_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_163]),c_0_164]) ).
cnf(c_0_168,negated_conjecture,
( ilf_type(esk19_0,member_type(esk13_0))
| member(ordered_pair(esk17_0,esk18_0),compose5(esk12_0,esk13_0,esk14_0,esk15_0,esk16_0)) ),
i_0_57 ).
cnf(c_0_169,plain,
( member(ordered_pair(esk1_4(X1,X2,esk15_0,esk16_0),X2),esk16_0)
| ~ member(ordered_pair(X1,X2),compose(esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_165,c_0_109]) ).
cnf(c_0_170,negated_conjecture,
~ member(ordered_pair(esk1_4(esk17_0,esk18_0,esk15_0,esk16_0),esk18_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_171,negated_conjecture,
( member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0))
| ilf_type(esk19_0,member_type(esk13_0)) ),
inference(rw,[status(thm)],[c_0_168,c_0_111]) ).
cnf(c_0_172,negated_conjecture,
member(ordered_pair(esk19_0,esk18_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_131]),c_0_170]) ).
cnf(c_0_173,negated_conjecture,
ilf_type(esk19_0,member_type(esk13_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_171]),c_0_170]) ).
cnf(c_0_174,negated_conjecture,
member(ordered_pair(esk17_0,esk19_0),esk15_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_135]),c_0_170]) ).
cnf(c_0_175,plain,
( member(ordered_pair(X1,esk18_0),compose(esk15_0,esk16_0))
| ~ member(ordered_pair(X1,esk19_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_172]) ).
cnf(c_0_176,negated_conjecture,
~ member(ordered_pair(esk17_0,esk18_0),compose(esk15_0,esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_173]),c_0_172]),c_0_174])]) ).
cnf(c_0_177,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_174]),c_0_176]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET684+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 11 10:04:07 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected complete mode:
% 11.74/2.95 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.74/2.95 # No SInE strategy applied
% 11.74/2.95 # Trying AutoSched0 for 150 seconds
% 11.74/2.95 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 11.74/2.95 # and selection function SelectCQArNTNpEqFirst.
% 11.74/2.95 #
% 11.74/2.95 # Preprocessing time : 0.024 s
% 11.74/2.95 # Presaturation interreduction done
% 11.74/2.95
% 11.74/2.95 # Proof found!
% 11.74/2.95 # SZS status Theorem
% 11.74/2.95 # SZS output start CNFRefutation
% See solution above
% 11.74/2.95 # Training examples: 0 positive, 0 negative
% 11.74/2.95
% 11.74/2.95 # -------------------------------------------------
% 11.74/2.95 # User time : 0.442 s
% 11.74/2.95 # System time : 0.028 s
% 11.74/2.95 # Total time : 0.470 s
% 11.74/2.95 # Maximum resident set size: 7120 pages
% 11.74/2.95
%------------------------------------------------------------------------------