%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET671+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 00:13:20 EDT 2022
% Result : Theorem 14.96s 3.33s
% Output : CNFRefutation 14.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 25
% Syntax : Number of clauses : 98 ( 19 unt; 13 nHn; 84 RR)
% Number of literals : 322 ( 17 equ; 217 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 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 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_47,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/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_47) ).
cnf(i_0_54,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_54) ).
cnf(i_0_12,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/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_12) ).
cnf(i_0_53,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/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_53) ).
cnf(i_0_52,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/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_52) ).
cnf(i_0_22,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_22) ).
cnf(i_0_57,negated_conjecture,
ilf_type(esk16_0,relation_type(esk14_0,esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_57) ).
cnf(i_0_39,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/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_39) ).
cnf(i_0_27,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_27) ).
cnf(i_0_37,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_37) ).
cnf(i_0_50,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_50) ).
cnf(i_0_7,plain,
( member(ordered_pair(X1,X2),restrict(X3,X4))
| ~ member(X1,X4)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_7) ).
cnf(i_0_44,plain,
( ordered_pair(esk9_2(X1,X2),esk10_2(X1,X2)) = X2
| ~ relation_like(X1)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_44) ).
cnf(i_0_18,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_18) ).
cnf(i_0_11,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(X2,X3))
| ~ member(ordered_pair(X1,X4),X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_11) ).
cnf(i_0_35,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/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_35) ).
cnf(i_0_26,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/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_26) ).
cnf(i_0_38,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/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_38) ).
cnf(i_0_32,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk7_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_32) ).
cnf(i_0_33,plain,
( member(X1,power_set(X2))
| member(esk7_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_33) ).
cnf(i_0_1,plain,
( X1 = X2
| member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),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/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_1) ).
cnf(i_0_56,negated_conjecture,
subset(esk14_0,esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_56) ).
cnf(i_0_8,plain,
( member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),restrict(X3,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_8) ).
cnf(i_0_2,plain,
( 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)
| ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_2) ).
cnf(i_0_55,negated_conjecture,
restrict4(esk14_0,esk13_0,esk16_0,esk15_0) != esk16_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-74h08d_r/input.p',i_0_55) ).
cnf(c_0_83,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_47 ).
cnf(c_0_84,plain,
ilf_type(X1,set_type),
i_0_54 ).
cnf(c_0_85,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_12 ).
cnf(c_0_86,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_83,c_0_84]),c_0_84])]) ).
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_85,c_0_84]),c_0_84])]) ).
cnf(c_0_88,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_53 ).
cnf(c_0_89,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,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_88,c_0_84]),c_0_84]),c_0_84])]) ).
cnf(c_0_91,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_52 ).
cnf(c_0_92,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_22 ).
cnf(c_0_93,negated_conjecture,
ilf_type(esk16_0,relation_type(esk14_0,esk13_0)),
i_0_57 ).
cnf(c_0_94,plain,
( relation_like(restrict4(X1,X2,X3,X4))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,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_91,c_0_84]),c_0_84]),c_0_84])]) ).
cnf(c_0_96,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_39 ).
cnf(c_0_97,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X2)) ),
i_0_27 ).
cnf(c_0_98,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_37 ).
cnf(c_0_99,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_50 ).
cnf(c_0_100,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_84])]) ).
cnf(c_0_101,negated_conjecture,
relation_like(esk16_0),
inference(spm,[status(thm)],[c_0_89,c_0_93]) ).
cnf(c_0_102,plain,
( relation_like(restrict(X1,X2))
| ~ ilf_type(X1,relation_type(X3,X4)) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_103,plain,
( member(ordered_pair(X1,X2),restrict(X3,X4))
| ~ member(X1,X4)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),X3) ),
i_0_7 ).
cnf(c_0_104,plain,
( ordered_pair(esk9_2(X1,X2),esk10_2(X1,X2)) = X2
| ~ relation_like(X1)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_44 ).
cnf(c_0_105,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
i_0_18 ).
cnf(c_0_106,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(X2,X3))
| ~ member(ordered_pair(X1,X4),X5) ),
i_0_11 ).
cnf(c_0_107,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_35 ).
cnf(c_0_108,plain,
( member(X1,X2)
| empty(X2)
| ~ ilf_type(X1,member_type(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_84]),c_0_84])]) ).
cnf(c_0_109,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X1,subset_type(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_84]),c_0_84])]) ).
cnf(c_0_110,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_84])]) ).
cnf(c_0_111,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_26 ).
cnf(c_0_112,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_38 ).
cnf(c_0_113,plain,
( ~ member(X1,X2)
| ~ empty(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_84]),c_0_84])]) ).
cnf(c_0_114,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk7_2(X1,X2),X2) ),
i_0_32 ).
cnf(c_0_115,plain,
( member(X1,power_set(X2))
| member(esk7_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_33 ).
cnf(c_0_116,plain,
( X1 = X2
| member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),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_1 ).
cnf(c_0_117,plain,
ilf_type(esk16_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_118,negated_conjecture,
relation_like(restrict(esk16_0,X1)),
inference(spm,[status(thm)],[c_0_102,c_0_93]) ).
cnf(c_0_119,plain,
( member(ordered_pair(X1,X2),restrict(X3,X4))
| ~ member(ordered_pair(X1,X2),X3)
| ~ member(X1,X4)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_84]),c_0_84]),c_0_84])]) ).
cnf(c_0_120,plain,
( ordered_pair(esk9_2(X1,X2),esk10_2(X1,X2)) = X2
| ~ member(X2,X1)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_84]),c_0_84])]) ).
cnf(c_0_121,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_84]),c_0_84]),c_0_84])]) ).
cnf(c_0_122,negated_conjecture,
subset(esk14_0,esk15_0),
i_0_56 ).
cnf(c_0_123,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X3),X4)
| ~ ilf_type(X4,relation_type(X2,X5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_84]),c_0_84]),c_0_84]),c_0_84])]) ).
cnf(c_0_124,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_107,c_0_84]),c_0_84]),c_0_84])]) ).
cnf(c_0_125,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,subset_type(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_126,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_111,c_0_84]),c_0_84])]) ).
cnf(c_0_127,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_112,c_0_84]),c_0_84])]),c_0_113]) ).
cnf(c_0_128,plain,
( member(X1,power_set(X2))
| ~ member(esk7_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_84]),c_0_84])]) ).
cnf(c_0_129,plain,
( member(esk7_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_84]),c_0_84])]) ).
cnf(c_0_130,plain,
( member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),restrict(X3,X4)) ),
i_0_8 ).
cnf(c_0_131,plain,
( X1 = esk16_0
| member(ordered_pair(esk1_2(X1,esk16_0),esk2_2(X1,esk16_0)),esk16_0)
| member(ordered_pair(esk1_2(X1,esk16_0),esk2_2(X1,esk16_0)),X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_132,plain,
ilf_type(restrict(esk16_0,X1),binary_relation_type),
inference(spm,[status(thm)],[c_0_100,c_0_118]) ).
cnf(c_0_133,plain,
( member(X1,restrict(X2,X3))
| ~ member(esk9_2(X4,X1),X3)
| ~ member(X1,X2)
| ~ member(X1,X4)
| ~ relation_like(X4)
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_134,negated_conjecture,
( member(X1,esk15_0)
| ~ member(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_135,negated_conjecture,
( member(X1,esk14_0)
| ~ member(ordered_pair(X1,X2),esk16_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_93]) ).
cnf(c_0_136,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,subset_type(X2)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_137,plain,
( ilf_type(X1,subset_type(X2))
| ~ member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_138,plain,
member(X1,power_set(X1)),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_139,plain,
( member(ordered_pair(X1,X2),X3)
| ~ member(ordered_pair(X1,X2),restrict(X3,X4))
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_84]),c_0_84]),c_0_84])]) ).
cnf(c_0_140,plain,
( restrict(esk16_0,X1) = esk16_0
| member(ordered_pair(esk1_2(restrict(esk16_0,X1),esk16_0),esk2_2(restrict(esk16_0,X1),esk16_0)),restrict(esk16_0,X1))
| member(ordered_pair(esk1_2(restrict(esk16_0,X1),esk16_0),esk2_2(restrict(esk16_0,X1),esk16_0)),esk16_0) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_141,negated_conjecture,
( member(X1,restrict(X2,esk15_0))
| ~ member(esk9_2(X3,X1),esk14_0)
| ~ member(X1,X2)
| ~ member(X1,X3)
| ~ relation_like(X3)
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_142,plain,
( member(esk9_2(X1,X2),esk14_0)
| ~ member(X2,esk16_0)
| ~ member(X2,X1)
| ~ relation_like(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_120]) ).
cnf(c_0_143,plain,
( member(X1,cross_product(X2,X3))
| ~ member(X1,X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_136,c_0_87]) ).
cnf(c_0_144,plain,
ilf_type(X1,subset_type(X1)),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_145,plain,
( 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)
| ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1) ),
i_0_2 ).
cnf(c_0_146,plain,
( restrict(esk16_0,X1) = esk16_0
| member(ordered_pair(esk1_2(restrict(esk16_0,X1),esk16_0),esk2_2(restrict(esk16_0,X1),esk16_0)),esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_117])]) ).
cnf(c_0_147,plain,
( member(X1,restrict(X2,esk15_0))
| ~ member(X1,esk16_0)
| ~ member(X1,X2)
| ~ member(X1,X3)
| ~ relation_like(X3)
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_148,negated_conjecture,
( member(X1,cross_product(esk14_0,esk13_0))
| ~ member(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_93]) ).
cnf(c_0_149,plain,
relation_like(cross_product(X1,X2)),
inference(spm,[status(thm)],[c_0_86,c_0_144]) ).
cnf(c_0_150,negated_conjecture,
restrict4(esk14_0,esk13_0,esk16_0,esk15_0) != esk16_0,
i_0_55 ).
cnf(c_0_151,plain,
( restrict(esk16_0,X1) = esk16_0
| ~ member(ordered_pair(esk1_2(restrict(esk16_0,X1),esk16_0),esk2_2(restrict(esk16_0,X1),esk16_0)),restrict(esk16_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_117]),c_0_132])]) ).
cnf(c_0_152,plain,
( member(X1,restrict(X2,esk15_0))
| ~ member(X1,esk16_0)
| ~ member(X1,X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149])]) ).
cnf(c_0_153,negated_conjecture,
restrict(esk16_0,esk15_0) != esk16_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_95]),c_0_93])]) ).
cnf(c_0_154,plain,
~ member(ordered_pair(esk1_2(restrict(esk16_0,esk15_0),esk16_0),esk2_2(restrict(esk16_0,esk15_0),esk16_0)),esk16_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_117])]),c_0_153]) ).
cnf(c_0_155,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_146]),c_0_153]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET671+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 20:50:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 14.96/3.33 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.96/3.33 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 38; version: 991; iters: 150)
% 14.96/3.33 # Preprocessing time : 0.848 s
% 14.96/3.33
% 14.96/3.33 # Proof found!
% 14.96/3.33 # SZS status Theorem
% 14.96/3.33 # SZS output start CNFRefutation
% See solution above
% 14.96/3.33 # Training examples: 0 positive, 0 negative
% 14.96/3.33
% 14.96/3.33 # -------------------------------------------------
% 14.96/3.33 # User time : 0.771 s
% 14.96/3.33 # System time : 0.121 s
% 14.96/3.33 # Total time : 0.892 s
% 14.96/3.33 # ...preprocessing : 0.848 s
% 14.96/3.33 # ...main loop : 0.044 s
% 14.96/3.33 # Maximum resident set size: 167644 pages
% 14.96/3.33
%------------------------------------------------------------------------------