TSTP Solution File: SET674+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET674+3 : TPTP v8.1.0. Released v2.2.0.
% 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 00:13:22 EDT 2022
% Result : Theorem 13.89s 3.22s
% Output : CNFRefutation 13.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of clauses : 96 ( 12 unt; 5 nHn; 87 RR)
% Number of literals : 317 ( 30 equ; 224 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 5 con; 0-4 aty)
% Number of variables : 220 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_66,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-hlxr7is0/input.p',i_0_66) ).
cnf(i_0_79,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_79) ).
cnf(i_0_22,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-hlxr7is0/input.p',i_0_22) ).
cnf(i_0_20,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/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_20) ).
cnf(i_0_34,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_34) ).
cnf(i_0_81,negated_conjecture,
ilf_type(esk19_0,relation_type(esk17_0,esk18_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_81) ).
cnf(i_0_13,plain,
( member(X1,inverse2(X2,X3))
| ~ member(X4,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X1,X4),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_13) ).
cnf(i_0_2,plain,
( member(ordered_pair(X1,esk1_2(X1,X2)),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,domain_of(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_2) ).
cnf(i_0_21,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-hlxr7is0/input.p',i_0_21) ).
cnf(i_0_77,plain,
( inverse4(X1,X2,X3,X4) = inverse2(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-hlxr7is0/input.p',i_0_77) ).
cnf(i_0_46,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk10_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_46) ).
cnf(i_0_1,plain,
( member(X1,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_1) ).
cnf(i_0_15,plain,
( member(ordered_pair(X1,esk4_3(X2,X1,X3)),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,inverse2(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_15) ).
cnf(i_0_9,plain,
( member(X1,image(X2,X3))
| ~ member(X4,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_9) ).
cnf(i_0_5,plain,
( member(ordered_pair(esk2_2(X1,X2),X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,range_of(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_5) ).
cnf(i_0_80,negated_conjecture,
( image4(esk17_0,esk18_0,esk19_0,esk17_0) != range(esk17_0,esk18_0,esk19_0)
| inverse4(esk17_0,esk18_0,esk19_0,esk18_0) != domain(esk17_0,esk18_0,esk19_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_80) ).
cnf(i_0_75,plain,
( image4(X1,X2,X3,X4) = image(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-hlxr7is0/input.p',i_0_75) ).
cnf(i_0_47,plain,
( subset(X1,X2)
| member(esk10_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_47) ).
cnf(i_0_73,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ 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-hlxr7is0/input.p',i_0_73) ).
cnf(i_0_25,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_25) ).
cnf(i_0_71,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ 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-hlxr7is0/input.p',i_0_71) ).
cnf(i_0_4,plain,
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_4) ).
cnf(i_0_11,plain,
( member(ordered_pair(esk3_3(X1,X2,X3),X2),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,image(X3,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hlxr7is0/input.p',i_0_11) ).
cnf(c_0_105,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_66 ).
cnf(c_0_106,plain,
ilf_type(X1,set_type),
i_0_79 ).
cnf(c_0_107,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_22 ).
cnf(c_0_108,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_105,c_0_106]),c_0_106])]) ).
cnf(c_0_109,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_107,c_0_106]),c_0_106])]) ).
cnf(c_0_110,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_20 ).
cnf(c_0_111,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_34 ).
cnf(c_0_112,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_113,negated_conjecture,
ilf_type(esk19_0,relation_type(esk17_0,esk18_0)),
i_0_81 ).
cnf(c_0_114,plain,
( member(X1,inverse2(X2,X3))
| ~ member(X4,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X1,X4),X2) ),
i_0_13 ).
cnf(c_0_115,plain,
( member(ordered_pair(X1,esk1_2(X1,X2)),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,domain_of(X2)) ),
i_0_2 ).
cnf(c_0_116,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_110,c_0_106]),c_0_106]),c_0_106]),c_0_106])]) ).
cnf(c_0_117,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_106])]) ).
cnf(c_0_118,negated_conjecture,
relation_like(esk19_0),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,plain,
( member(X1,inverse2(X2,X3))
| ~ member(ordered_pair(X1,X4),X2)
| ~ member(X4,X3)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_106]),c_0_106]),c_0_106])]) ).
cnf(c_0_120,plain,
( member(ordered_pair(X1,esk1_2(X1,X2)),X2)
| ~ member(X1,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_106])]) ).
cnf(c_0_121,negated_conjecture,
( member(X1,esk18_0)
| ~ member(ordered_pair(X2,X1),esk19_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_113]) ).
cnf(c_0_122,plain,
ilf_type(esk19_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_123,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_21 ).
cnf(c_0_124,plain,
( inverse4(X1,X2,X3,X4) = inverse2(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_77 ).
cnf(c_0_125,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk10_2(X1,X2),X2) ),
i_0_46 ).
cnf(c_0_126,plain,
( member(X1,inverse2(X2,X3))
| ~ member(esk1_2(X1,X2),X3)
| ~ member(X1,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_127,plain,
( member(esk1_2(X1,esk19_0),esk18_0)
| ~ member(X1,domain_of(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_122])]) ).
cnf(c_0_128,plain,
( member(X1,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X1,X3),X2) ),
i_0_1 ).
cnf(c_0_129,plain,
( member(ordered_pair(X1,esk4_3(X2,X1,X3)),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,inverse2(X3,X2)) ),
i_0_15 ).
cnf(c_0_130,plain,
( member(X1,image(X2,X3))
| ~ member(X4,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,X1),X2) ),
i_0_9 ).
cnf(c_0_131,plain,
( member(ordered_pair(esk2_2(X1,X2),X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,range_of(X2)) ),
i_0_5 ).
cnf(c_0_132,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_123,c_0_106]),c_0_106]),c_0_106]),c_0_106])]) ).
cnf(c_0_133,negated_conjecture,
( image4(esk17_0,esk18_0,esk19_0,esk17_0) != range(esk17_0,esk18_0,esk19_0)
| inverse4(esk17_0,esk18_0,esk19_0,esk18_0) != domain(esk17_0,esk18_0,esk19_0) ),
i_0_80 ).
cnf(c_0_134,plain,
( inverse4(X1,X2,X3,X4) = inverse2(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_124,c_0_106]),c_0_106]),c_0_106])]) ).
cnf(c_0_135,plain,
( image4(X1,X2,X3,X4) = image(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_75 ).
cnf(c_0_136,plain,
( subset(X1,X2)
| ~ member(esk10_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_106]),c_0_106])]) ).
cnf(c_0_137,plain,
( member(X1,inverse2(esk19_0,esk18_0))
| ~ member(X1,domain_of(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_122])]) ).
cnf(c_0_138,plain,
( subset(X1,X2)
| member(esk10_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_47 ).
cnf(c_0_139,plain,
( member(X1,domain_of(X2))
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_106]),c_0_106])]) ).
cnf(c_0_140,plain,
( member(ordered_pair(X1,esk4_3(X2,X1,X3)),X3)
| ~ member(X1,inverse2(X3,X2))
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_106]),c_0_106])]) ).
cnf(c_0_141,plain,
( member(X1,image(X2,X3))
| ~ member(ordered_pair(X4,X1),X2)
| ~ member(X4,X3)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_106]),c_0_106]),c_0_106])]) ).
cnf(c_0_142,plain,
( member(ordered_pair(esk2_2(X1,X2),X1),X2)
| ~ member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_106])]) ).
cnf(c_0_143,negated_conjecture,
( member(X1,esk17_0)
| ~ member(ordered_pair(X1,X2),esk19_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_113]) ).
cnf(c_0_144,negated_conjecture,
( image4(esk17_0,esk18_0,esk19_0,esk17_0) != range(esk17_0,esk18_0,esk19_0)
| domain(esk17_0,esk18_0,esk19_0) != inverse2(esk19_0,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_113])]) ).
cnf(c_0_145,plain,
( image4(X1,X2,X3,X4) = image(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_135,c_0_106]),c_0_106]),c_0_106])]) ).
cnf(c_0_146,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_73 ).
cnf(c_0_147,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_25 ).
cnf(c_0_148,plain,
( subset(X1,inverse2(esk19_0,esk18_0))
| ~ member(esk10_2(X1,inverse2(esk19_0,esk18_0)),domain_of(esk19_0)) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_149,plain,
( member(esk10_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_106]),c_0_106])]) ).
cnf(c_0_150,plain,
( member(X1,domain_of(X2))
| ~ member(X1,inverse2(X2,X3))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_151,plain,
( member(X1,image(X2,X3))
| ~ member(esk2_2(X1,X2),X3)
| ~ member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_152,plain,
( member(esk2_2(X1,esk19_0),esk17_0)
| ~ member(X1,range_of(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_142]),c_0_122])]) ).
cnf(c_0_153,plain,
( range(esk17_0,esk18_0,esk19_0) != image(esk19_0,esk17_0)
| domain(esk17_0,esk18_0,esk19_0) != inverse2(esk19_0,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_113])]) ).
cnf(c_0_154,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_106]),c_0_106])]) ).
cnf(c_0_155,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_71 ).
cnf(c_0_156,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_106]),c_0_106])]) ).
cnf(c_0_157,plain,
subset(domain_of(esk19_0),inverse2(esk19_0,esk18_0)),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_158,plain,
( member(esk10_2(inverse2(X1,X2),X3),domain_of(X1))
| subset(inverse2(X1,X2),X3)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_150,c_0_149]) ).
cnf(c_0_159,plain,
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2) ),
i_0_4 ).
cnf(c_0_160,plain,
( member(ordered_pair(esk3_3(X1,X2,X3),X2),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,image(X3,X1)) ),
i_0_11 ).
cnf(c_0_161,plain,
( member(X1,image(esk19_0,esk17_0))
| ~ member(X1,range_of(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_122])]) ).
cnf(c_0_162,plain,
( domain(esk17_0,esk18_0,esk19_0) != inverse2(esk19_0,esk18_0)
| image(esk19_0,esk17_0) != range_of(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_113])]) ).
cnf(c_0_163,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_106]),c_0_106])]) ).
cnf(c_0_164,plain,
( inverse2(esk19_0,esk18_0) = domain_of(esk19_0)
| ~ subset(inverse2(esk19_0,esk18_0),domain_of(esk19_0)) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_165,plain,
( subset(inverse2(X1,X2),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_136,c_0_158]) ).
cnf(c_0_166,plain,
( member(X1,range_of(X2))
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_106]),c_0_106])]) ).
cnf(c_0_167,plain,
( member(ordered_pair(esk3_3(X1,X2,X3),X2),X3)
| ~ member(X2,image(X3,X1))
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_106]),c_0_106])]) ).
cnf(c_0_168,plain,
( subset(X1,image(esk19_0,esk17_0))
| ~ member(esk10_2(X1,image(esk19_0,esk17_0)),range_of(esk19_0)) ),
inference(spm,[status(thm)],[c_0_136,c_0_161]) ).
cnf(c_0_169,plain,
( inverse2(esk19_0,esk18_0) != domain_of(esk19_0)
| image(esk19_0,esk17_0) != range_of(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_113])]) ).
cnf(c_0_170,plain,
inverse2(esk19_0,esk18_0) = domain_of(esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_122])]) ).
cnf(c_0_171,plain,
( member(X1,range_of(X2))
| ~ member(X1,image(X2,X3))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_172,plain,
subset(range_of(esk19_0),image(esk19_0,esk17_0)),
inference(spm,[status(thm)],[c_0_168,c_0_149]) ).
cnf(c_0_173,plain,
image(esk19_0,esk17_0) != range_of(esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]) ).
cnf(c_0_174,plain,
( member(esk10_2(image(X1,X2),X3),range_of(X1))
| subset(image(X1,X2),X3)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_171,c_0_149]) ).
cnf(c_0_175,plain,
~ subset(image(esk19_0,esk17_0),range_of(esk19_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_172]),c_0_173]) ).
cnf(c_0_176,plain,
( subset(image(X1,X2),range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_136,c_0_174]) ).
cnf(c_0_177,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_122])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET674+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n013.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 : Sun Jul 10 21:45:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 13.89/3.22 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 13.89/3.22 # 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: 41; version: 991; iters: 150)
% 13.89/3.22 # Preprocessing time : 0.818 s
% 13.89/3.22
% 13.89/3.22 # Proof found!
% 13.89/3.22 # SZS status Theorem
% 13.89/3.22 # SZS output start CNFRefutation
% See solution above
% 13.89/3.22 # Training examples: 0 positive, 0 negative
% 13.89/3.22
% 13.89/3.22 # -------------------------------------------------
% 13.89/3.22 # User time : 0.776 s
% 13.89/3.22 # System time : 0.107 s
% 13.89/3.22 # Total time : 0.883 s
% 13.89/3.22 # ...preprocessing : 0.818 s
% 13.89/3.22 # ...main loop : 0.065 s
% 13.89/3.22 # Maximum resident set size: 168444 pages
% 13.89/3.22
%------------------------------------------------------------------------------