TSTP Solution File: SET670+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET670+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 00:13:19 EDT 2022
% Result : Theorem 17.90s 3.60s
% Output : CNFRefutation 17.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of clauses : 87 ( 19 unt; 14 nHn; 70 RR)
% Number of literals : 283 ( 6 equ; 188 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 213 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_37,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-s8equne3/input.p',i_0_37) ).
cnf(i_0_53,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_53) ).
cnf(i_0_13,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-s8equne3/input.p',i_0_13) ).
cnf(i_0_52,plain,
( ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_52) ).
cnf(i_0_51,plain,
( restrict4(X1,X2,X3,X4) = restrict(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_51) ).
cnf(i_0_16,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-s8equne3/input.p',i_0_16) ).
cnf(i_0_21,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_21) ).
cnf(i_0_6,plain,
( relation_like(cross_product(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_6) ).
cnf(i_0_2,plain,
( subset(X1,X2)
| member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_2) ).
cnf(i_0_55,negated_conjecture,
ilf_type(esk15_0,relation_type(esk12_0,esk14_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_55) ).
cnf(i_0_10,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_10) ).
cnf(i_0_1,plain,
( subset(X1,X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_1) ).
cnf(i_0_9,plain,
( member(X1,X2)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X4),restrict(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_9) ).
cnf(i_0_5,plain,
( member(ordered_pair(X1,X2),X3)
| ~ subset(X4,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X1,X2),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_5) ).
cnf(i_0_34,plain,
( ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)) = X2
| ~ relation_like(X1)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_34) ).
cnf(i_0_39,plain,
( member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_39) ).
cnf(i_0_25,plain,
( ilf_type(X1,subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_25) ).
cnf(i_0_44,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-s8equne3/input.p',i_0_44) ).
cnf(i_0_43,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_43) ).
cnf(i_0_38,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk9_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_38) ).
cnf(i_0_14,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_14) ).
cnf(i_0_54,negated_conjecture,
~ ilf_type(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),relation_type(esk13_0,esk14_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s8equne3/input.p',i_0_54) ).
cnf(c_0_78,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_37 ).
cnf(c_0_79,plain,
ilf_type(X1,set_type),
i_0_53 ).
cnf(c_0_80,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_13 ).
cnf(c_0_81,plain,
( ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_52 ).
cnf(c_0_82,plain,
( restrict4(X1,X2,X3,X4) = restrict(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_51 ).
cnf(c_0_83,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_16 ).
cnf(c_0_84,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_78,c_0_79]),c_0_79])]) ).
cnf(c_0_85,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_80,c_0_79]),c_0_79])]) ).
cnf(c_0_86,plain,
( ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_79]),c_0_79]),c_0_79])]) ).
cnf(c_0_87,plain,
( restrict4(X1,X2,X3,X4) = restrict(X3,X4)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_79]),c_0_79]),c_0_79])]) ).
cnf(c_0_88,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_83,c_0_79]),c_0_79]),c_0_79]),c_0_79])]) ).
cnf(c_0_89,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,plain,
( ilf_type(restrict(X1,X2),relation_type(X3,X4))
| ~ ilf_type(X1,relation_type(X3,X4)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_91,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_21 ).
cnf(c_0_92,plain,
( relation_like(cross_product(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_6 ).
cnf(c_0_93,plain,
( member(X1,X2)
| ~ member(ordered_pair(X3,X1),restrict4(X4,X2,X5,X6))
| ~ ilf_type(X5,relation_type(X4,X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_86]) ).
cnf(c_0_94,plain,
( subset(X1,X2)
| member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type) ),
i_0_2 ).
cnf(c_0_95,plain,
( relation_like(restrict(X1,X2))
| ~ ilf_type(X1,relation_type(X3,X4)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,negated_conjecture,
ilf_type(esk15_0,relation_type(esk12_0,esk14_0)),
i_0_55 ).
cnf(c_0_97,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_10 ).
cnf(c_0_98,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_79])]) ).
cnf(c_0_99,plain,
relation_like(cross_product(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_79]),c_0_79])]) ).
cnf(c_0_100,plain,
( member(esk2_2(restrict4(X1,X2,X3,X4),X5),X2)
| subset(restrict4(X1,X2,X3,X4),X5)
| ~ ilf_type(restrict4(X1,X2,X3,X4),binary_relation_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X5,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
relation_like(restrict(esk15_0,X1)),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,plain,
( subset(X1,X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2) ),
i_0_1 ).
cnf(c_0_103,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_79]),c_0_79]),c_0_79]),c_0_79])]) ).
cnf(c_0_104,plain,
ilf_type(cross_product(X1,X2),binary_relation_type),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,plain,
( member(esk2_2(restrict(X1,X2),X3),X4)
| subset(restrict(X1,X2),X3)
| ~ ilf_type(restrict(X1,X2),binary_relation_type)
| ~ ilf_type(X1,relation_type(X5,X4))
| ~ ilf_type(X3,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_100,c_0_87]) ).
cnf(c_0_106,plain,
ilf_type(restrict(esk15_0,X1),binary_relation_type),
inference(spm,[status(thm)],[c_0_98,c_0_101]) ).
cnf(c_0_107,plain,
( member(X1,X2)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X4),restrict(X3,X2)) ),
i_0_9 ).
cnf(c_0_108,plain,
( member(ordered_pair(X1,X2),X3)
| ~ subset(X4,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X1,X2),X4) ),
i_0_5 ).
cnf(c_0_109,plain,
( ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)) = X2
| ~ relation_like(X1)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_34 ).
cnf(c_0_110,plain,
( subset(X1,cross_product(X2,X3))
| ~ member(esk2_2(X1,cross_product(X2,X3)),X3)
| ~ member(esk1_2(X1,cross_product(X2,X3)),X2)
| ~ ilf_type(X1,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).
cnf(c_0_111,negated_conjecture,
( member(esk2_2(restrict(esk15_0,X1),X2),esk14_0)
| subset(restrict(esk15_0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_96]),c_0_106])]) ).
cnf(c_0_112,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X3),restrict(X4,X2))
| ~ ilf_type(X4,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_79]),c_0_79]),c_0_79])]) ).
cnf(c_0_113,negated_conjecture,
relation_like(esk15_0),
inference(spm,[status(thm)],[c_0_89,c_0_96]) ).
cnf(c_0_114,plain,
( member(ordered_pair(X1,X2),X3)
| ~ member(ordered_pair(X1,X2),X4)
| ~ subset(X4,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)],[c_0_108,c_0_79]),c_0_79])]) ).
cnf(c_0_115,plain,
( ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)) = X2
| ~ member(X2,X1)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_79]),c_0_79])]) ).
cnf(c_0_116,plain,
( subset(restrict(esk15_0,X1),cross_product(X2,esk14_0))
| ~ member(esk1_2(restrict(esk15_0,X1),cross_product(X2,esk14_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_106]),c_0_104])]) ).
cnf(c_0_117,plain,
( member(esk1_2(restrict(X1,X2),X3),X2)
| subset(restrict(X1,X2),X3)
| ~ ilf_type(restrict(X1,X2),binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_112,c_0_94]) ).
cnf(c_0_118,plain,
ilf_type(esk15_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_98,c_0_113]) ).
cnf(c_0_119,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ member(X1,X4)
| ~ subset(X3,X2)
| ~ relation_like(X4)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,plain,
subset(restrict(esk15_0,X1),cross_product(X1,esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_106]),c_0_118]),c_0_104])]) ).
cnf(c_0_121,plain,
( member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_39 ).
cnf(c_0_122,plain,
( member(X1,cross_product(X2,esk14_0))
| ~ member(X1,restrict(esk15_0,X2))
| ~ member(X1,X3)
| ~ relation_like(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_106]),c_0_104])]) ).
cnf(c_0_123,plain,
( member(esk9_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_79]),c_0_79])]) ).
cnf(c_0_124,plain,
( ilf_type(X1,subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X2))) ),
i_0_25 ).
cnf(c_0_125,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_44 ).
cnf(c_0_126,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_43 ).
cnf(c_0_127,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk9_2(X1,X2),X2) ),
i_0_38 ).
cnf(c_0_128,plain,
( member(esk9_2(restrict(esk15_0,X1),X2),cross_product(X1,esk14_0))
| member(restrict(esk15_0,X1),power_set(X2))
| ~ member(esk9_2(restrict(esk15_0,X1),X2),X3)
| ~ relation_like(X3) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_129,plain,
( ilf_type(X1,subset_type(X2))
| ~ ilf_type(X1,member_type(power_set(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_79]),c_0_79])]) ).
cnf(c_0_130,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_79]),c_0_79])]) ).
cnf(c_0_131,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_79])]) ).
cnf(c_0_132,plain,
( member(X1,power_set(X2))
| ~ member(esk9_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_79]),c_0_79])]) ).
cnf(c_0_133,plain,
( member(esk9_2(restrict(esk15_0,X1),X2),cross_product(X1,esk14_0))
| member(restrict(esk15_0,X1),power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_123]),c_0_101])]) ).
cnf(c_0_134,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
i_0_14 ).
cnf(c_0_135,plain,
( ilf_type(X1,subset_type(X2))
| ~ member(X1,power_set(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_136,plain,
member(restrict(esk15_0,X1),power_set(cross_product(X1,esk14_0))),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
~ ilf_type(restrict4(esk12_0,esk14_0,esk15_0,esk13_0),relation_type(esk13_0,esk14_0)),
i_0_54 ).
cnf(c_0_138,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_79]),c_0_79])]) ).
cnf(c_0_139,plain,
ilf_type(restrict(esk15_0,X1),subset_type(cross_product(X1,esk14_0))),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_140,negated_conjecture,
~ ilf_type(restrict(esk15_0,esk13_0),relation_type(esk13_0,esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_87]),c_0_96])]) ).
cnf(c_0_141,plain,
ilf_type(restrict(esk15_0,X1),relation_type(X1,esk14_0)),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_142,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET670+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 05:57:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 17.90/3.60 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 17.90/3.60 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 41; version: 991; iters: 150)
% 17.90/3.60 # Preprocessing time : 1.225 s
% 17.90/3.60 # Presaturation interreduction done
% 17.90/3.60
% 17.90/3.60 # Proof found!
% 17.90/3.60 # SZS status Theorem
% 17.90/3.60 # SZS output start CNFRefutation
% See solution above
% 17.90/3.60 # Training examples: 0 positive, 0 negative
% 17.90/3.60
% 17.90/3.60 # -------------------------------------------------
% 17.90/3.60 # User time : 1.197 s
% 17.90/3.60 # System time : 0.144 s
% 17.90/3.60 # Total time : 1.341 s
% 17.90/3.60 # ...preprocessing : 1.225 s
% 17.90/3.60 # ...main loop : 0.116 s
% 17.90/3.60 # Maximum resident set size: 184884 pages
% 17.90/3.60
%------------------------------------------------------------------------------