TSTP Solution File: SET661+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET661+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 00:13:16 EDT 2022
% Result : Theorem 13.94s 3.13s
% Output : CNFRefutation 13.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of clauses : 86 ( 8 unt; 5 nHn; 81 RR)
% Number of literals : 259 ( 31 equ; 177 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 165 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
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-jr_fvso4/input.p',i_0_4) ).
cnf(i_0_70,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jr_fvso4/input.p',i_0_70) ).
cnf(i_0_9,plain,
( member(ordered_pair(X1,X2),inverse(X3))
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jr_fvso4/input.p',i_0_9) ).
cnf(i_0_10,plain,
( member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X1),inverse(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jr_fvso4/input.p',i_0_10) ).
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-jr_fvso4/input.p',i_0_5) ).
cnf(i_0_23,plain,
( ilf_type(inverse(X1),binary_relation_type)
| ~ ilf_type(X1,binary_relation_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jr_fvso4/input.p',i_0_23) ).
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-jr_fvso4/input.p',i_0_2) ).
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-jr_fvso4/input.p',i_0_1) ).
cnf(i_0_68,plain,
( inverse3(X1,X2,X3) = inverse(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-jr_fvso4/input.p',i_0_68) ).
cnf(i_0_39,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk8_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jr_fvso4/input.p',i_0_39) ).
cnf(i_0_40,plain,
( subset(X1,X2)
| member(esk8_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jr_fvso4/input.p',i_0_40) ).
cnf(i_0_59,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-jr_fvso4/input.p',i_0_59) ).
cnf(i_0_14,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-jr_fvso4/input.p',i_0_14) ).
cnf(i_0_71,negated_conjecture,
( domain(esk16_0,esk15_0,inverse3(esk15_0,esk16_0,esk17_0)) != range(esk15_0,esk16_0,esk17_0)
| range(esk16_0,esk15_0,inverse3(esk15_0,esk16_0,esk17_0)) != domain(esk15_0,esk16_0,esk17_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jr_fvso4/input.p',i_0_71) ).
cnf(i_0_72,negated_conjecture,
ilf_type(esk17_0,relation_type(esk15_0,esk16_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jr_fvso4/input.p',i_0_72) ).
cnf(i_0_66,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-jr_fvso4/input.p',i_0_66) ).
cnf(i_0_64,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-jr_fvso4/input.p',i_0_64) ).
cnf(i_0_17,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-jr_fvso4/input.p',i_0_17) ).
cnf(i_0_25,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jr_fvso4/input.p',i_0_25) ).
cnf(i_0_69,plain,
( ilf_type(inverse3(X1,X2,X3),relation_type(X2,X1))
| ~ 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-jr_fvso4/input.p',i_0_69) ).
cnf(c_0_93,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_94,plain,
ilf_type(X1,set_type),
i_0_70 ).
cnf(c_0_95,plain,
( member(ordered_pair(X1,X2),inverse(X3))
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X1),X3) ),
i_0_9 ).
cnf(c_0_96,plain,
( member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X1),inverse(X3)) ),
i_0_10 ).
cnf(c_0_97,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_98,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_93,c_0_94]),c_0_94])]) ).
cnf(c_0_99,plain,
( member(ordered_pair(X1,X2),inverse(X3))
| ~ member(ordered_pair(X2,X1),X3)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_94]),c_0_94])]) ).
cnf(c_0_100,plain,
( ilf_type(inverse(X1),binary_relation_type)
| ~ ilf_type(X1,binary_relation_type) ),
i_0_23 ).
cnf(c_0_101,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_102,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_103,plain,
( member(ordered_pair(X1,X2),X3)
| ~ member(ordered_pair(X2,X1),inverse(X3))
| ~ ilf_type(X3,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_94]),c_0_94])]) ).
cnf(c_0_104,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_97,c_0_94])]) ).
cnf(c_0_105,plain,
( inverse3(X1,X2,X3) = inverse(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_68 ).
cnf(c_0_106,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk8_2(X1,X2),X2) ),
i_0_39 ).
cnf(c_0_107,plain,
( member(X1,range_of(inverse(X2)))
| ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_108,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_101,c_0_94])]) ).
cnf(c_0_109,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_102,c_0_94]),c_0_94])]) ).
cnf(c_0_110,plain,
( member(ordered_pair(X1,esk2_2(X1,inverse(X2))),X2)
| ~ member(X1,range_of(inverse(X2)))
| ~ ilf_type(X2,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_100]) ).
cnf(c_0_111,plain,
( subset(X1,X2)
| member(esk8_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_40 ).
cnf(c_0_112,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_59 ).
cnf(c_0_113,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_14 ).
cnf(c_0_114,negated_conjecture,
( domain(esk16_0,esk15_0,inverse3(esk15_0,esk16_0,esk17_0)) != range(esk15_0,esk16_0,esk17_0)
| range(esk16_0,esk15_0,inverse3(esk15_0,esk16_0,esk17_0)) != domain(esk15_0,esk16_0,esk17_0) ),
i_0_71 ).
cnf(c_0_115,plain,
( inverse3(X1,X2,X3) = inverse(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_94]),c_0_94])]) ).
cnf(c_0_116,negated_conjecture,
ilf_type(esk17_0,relation_type(esk15_0,esk16_0)),
i_0_72 ).
cnf(c_0_117,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_66 ).
cnf(c_0_118,plain,
( subset(X1,X2)
| ~ member(esk8_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_94]),c_0_94])]) ).
cnf(c_0_119,plain,
( member(X1,range_of(inverse(X2)))
| ~ member(X1,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_120,plain,
( member(X1,domain_of(X2))
| ~ member(X1,range_of(inverse(X2)))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_121,plain,
( member(esk8_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_94]),c_0_94])]) ).
cnf(c_0_122,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_112,c_0_94]),c_0_94])]) ).
cnf(c_0_123,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_113,c_0_94]),c_0_94])]) ).
cnf(c_0_124,plain,
( member(ordered_pair(esk1_2(X1,inverse(X2)),X1),X2)
| ~ member(X1,domain_of(inverse(X2)))
| ~ ilf_type(X2,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_108]),c_0_100]) ).
cnf(c_0_125,plain,
( member(X1,domain_of(inverse(X2)))
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_99]),c_0_100]) ).
cnf(c_0_126,negated_conjecture,
( domain(esk16_0,esk15_0,inverse(esk17_0)) != range(esk15_0,esk16_0,esk17_0)
| range(esk16_0,esk15_0,inverse(esk17_0)) != domain(esk15_0,esk16_0,esk17_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]) ).
cnf(c_0_127,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_117,c_0_94]),c_0_94])]) ).
cnf(c_0_128,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_64 ).
cnf(c_0_129,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_17 ).
cnf(c_0_130,plain,
( subset(X1,range_of(inverse(X2)))
| ~ member(esk8_2(X1,range_of(inverse(X2))),domain_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_131,plain,
( member(esk8_2(range_of(inverse(X1)),X2),domain_of(X1))
| subset(range_of(inverse(X1)),X2)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_132,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_25 ).
cnf(c_0_133,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_134,plain,
( member(X1,range_of(X2))
| ~ member(X1,domain_of(inverse(X2)))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_98,c_0_124]) ).
cnf(c_0_135,plain,
( member(X1,domain_of(inverse(X2)))
| ~ member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_125,c_0_104]) ).
cnf(c_0_136,plain,
( domain(esk16_0,esk15_0,inverse(esk17_0)) != range(esk15_0,esk16_0,esk17_0)
| range_of(inverse(esk17_0)) != domain(esk15_0,esk16_0,esk17_0)
| ~ ilf_type(inverse(esk17_0),relation_type(esk16_0,esk15_0)) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_137,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_128,c_0_94]),c_0_94])]) ).
cnf(c_0_138,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_94]),c_0_94])]) ).
cnf(c_0_139,plain,
( subset(domain_of(X1),range_of(inverse(X1)))
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_130,c_0_121]) ).
cnf(c_0_140,plain,
( subset(range_of(inverse(X1)),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_118,c_0_131]) ).
cnf(c_0_141,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_94])]) ).
cnf(c_0_142,negated_conjecture,
relation_like(esk17_0),
inference(spm,[status(thm)],[c_0_133,c_0_116]) ).
cnf(c_0_143,plain,
( member(esk8_2(domain_of(inverse(X1)),X2),range_of(X1))
| subset(domain_of(inverse(X1)),X2)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_134,c_0_121]) ).
cnf(c_0_144,plain,
( subset(X1,domain_of(inverse(X2)))
| ~ member(esk8_2(X1,domain_of(inverse(X2))),range_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_118,c_0_135]) ).
cnf(c_0_145,plain,
( domain_of(inverse(esk17_0)) != range(esk15_0,esk16_0,esk17_0)
| range_of(inverse(esk17_0)) != domain(esk15_0,esk16_0,esk17_0)
| ~ ilf_type(inverse(esk17_0),relation_type(esk16_0,esk15_0)) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_146,plain,
( range_of(inverse(X1)) = domain_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
cnf(c_0_147,plain,
ilf_type(esk17_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_148,plain,
( subset(domain_of(inverse(X1)),range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_118,c_0_143]) ).
cnf(c_0_149,plain,
( subset(range_of(X1),domain_of(inverse(X1)))
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_144,c_0_121]) ).
cnf(c_0_150,plain,
( ilf_type(inverse3(X1,X2,X3),relation_type(X2,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_69 ).
cnf(c_0_151,plain,
( domain_of(inverse(esk17_0)) != range(esk15_0,esk16_0,esk17_0)
| domain(esk15_0,esk16_0,esk17_0) != domain_of(esk17_0)
| ~ ilf_type(inverse(esk17_0),relation_type(esk16_0,esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147])]) ).
cnf(c_0_152,plain,
( domain_of(inverse(X1)) = range_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_148]),c_0_149]) ).
cnf(c_0_153,plain,
( ilf_type(inverse3(X1,X2,X3),relation_type(X2,X1))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_94]),c_0_94])]) ).
cnf(c_0_154,plain,
( range(esk15_0,esk16_0,esk17_0) != range_of(esk17_0)
| domain(esk15_0,esk16_0,esk17_0) != domain_of(esk17_0)
| ~ ilf_type(inverse(esk17_0),relation_type(esk16_0,esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_147])]) ).
cnf(c_0_155,plain,
( ilf_type(inverse(X1),relation_type(X2,X3))
| ~ ilf_type(X1,relation_type(X3,X2)) ),
inference(spm,[status(thm)],[c_0_153,c_0_115]) ).
cnf(c_0_156,plain,
( range(esk15_0,esk16_0,esk17_0) != range_of(esk17_0)
| domain(esk15_0,esk16_0,esk17_0) != domain_of(esk17_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_116])]) ).
cnf(c_0_157,plain,
domain(esk15_0,esk16_0,esk17_0) != domain_of(esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_127]),c_0_116])]) ).
cnf(c_0_158,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_137]),c_0_116])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET661+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n009.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 00:09:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 13.94/3.13 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 13.94/3.13 # 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: 39; version: 991; iters: 150)
% 13.94/3.13 # Preprocessing time : 0.830 s
% 13.94/3.13
% 13.94/3.13 # Proof found!
% 13.94/3.13 # SZS status Theorem
% 13.94/3.13 # SZS output start CNFRefutation
% See solution above
% 13.94/3.13 # Training examples: 0 positive, 0 negative
% 13.94/3.13
% 13.94/3.13 # -------------------------------------------------
% 13.94/3.13 # User time : 0.758 s
% 13.94/3.13 # System time : 0.108 s
% 13.94/3.13 # Total time : 0.866 s
% 13.94/3.13 # ...preprocessing : 0.830 s
% 13.94/3.13 # ...main loop : 0.036 s
% 13.94/3.13 # Maximum resident set size: 167320 pages
% 13.94/3.13
%------------------------------------------------------------------------------