TSTP Solution File: SET678+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET678+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 00:13:23 EDT 2022
% Result : Theorem 7.92s 2.43s
% Output : CNFRefutation 7.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 26
% Syntax : Number of clauses : 105 ( 14 unt; 13 nHn; 99 RR)
% Number of literals : 301 ( 19 equ; 195 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% Number of variables : 196 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_56,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-g1t9km4r/lgb.p',i_0_56) ).
cnf(i_0_68,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_68) ).
cnf(i_0_40,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/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_40) ).
cnf(i_0_54,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_54) ).
cnf(i_0_52,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-g1t9km4r/lgb.p',i_0_52) ).
cnf(i_0_28,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-g1t9km4r/lgb.p',i_0_28) ).
cnf(i_0_13,plain,
( ilf_type(X1,relation_type(X2,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,identity_relation_of_type(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_13) ).
cnf(i_0_64,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/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_64) ).
cnf(i_0_60,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_60) ).
cnf(i_0_49,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk12_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_49) ).
cnf(i_0_70,negated_conjecture,
ilf_type(esk16_0,identity_relation_of_type(esk15_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_70) ).
cnf(i_0_65,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ 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-g1t9km4r/lgb.p',i_0_65) ).
cnf(i_0_12,plain,
( ilf_type(X1,identity_relation_of_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,relation_type(X2,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_12) ).
cnf(i_0_39,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-g1t9km4r/lgb.p',i_0_39) ).
cnf(i_0_55,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-g1t9km4r/lgb.p',i_0_55) ).
cnf(i_0_50,plain,
( member(X1,power_set(X2))
| member(esk12_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_50) ).
cnf(i_0_29,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-g1t9km4r/lgb.p',i_0_29) ).
cnf(i_0_63,plain,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ 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-g1t9km4r/lgb.p',i_0_63) ).
cnf(i_0_62,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/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_62) ).
cnf(i_0_1,plain,
( compose(identity_relation_of(X1),X2) = X2
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ subset(domain_of(X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_1) ).
cnf(i_0_34,plain,
( subset(X1,X2)
| member(esk7_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_34) ).
cnf(i_0_69,negated_conjecture,
( compose(esk16_0,identity_relation_of(esk15_0)) != esk16_0
| compose(identity_relation_of(esk15_0),esk16_0) != esk16_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_69) ).
cnf(i_0_2,plain,
( compose(X1,identity_relation_of(X2)) = X1
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ subset(range_of(X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_2) ).
cnf(i_0_33,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk7_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1t9km4r/lgb.p',i_0_33) ).
cnf(i_0_48,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-g1t9km4r/lgb.p',i_0_48) ).
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-g1t9km4r/lgb.p',i_0_24) ).
cnf(c_0_97,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_56 ).
cnf(c_0_98,plain,
ilf_type(X1,set_type),
i_0_68 ).
cnf(c_0_99,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_40 ).
cnf(c_0_100,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_54 ).
cnf(c_0_101,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_52 ).
cnf(c_0_102,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_97,c_0_98]),c_0_98])]) ).
cnf(c_0_103,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_99,c_0_98]),c_0_98])]) ).
cnf(c_0_104,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_98])]) ).
cnf(c_0_105,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_101,c_0_98]),c_0_98]),c_0_98])]) ).
cnf(c_0_106,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,subset_type(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
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_28 ).
cnf(c_0_108,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,subset_type(X2)) ),
inference(spm,[status(thm)],[c_0_105,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_98]),c_0_98])]) ).
cnf(c_0_110,plain,
( ilf_type(X1,relation_type(X2,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,identity_relation_of_type(X2)) ),
i_0_13 ).
cnf(c_0_111,plain,
( member(X1,cross_product(X2,X3))
| ~ member(X1,X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,plain,
( ilf_type(X1,relation_type(X2,X2))
| ~ ilf_type(X1,identity_relation_of_type(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_98]),c_0_98])]) ).
cnf(c_0_113,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_64 ).
cnf(c_0_114,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_60 ).
cnf(c_0_115,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk12_2(X1,X2),X2) ),
i_0_49 ).
cnf(c_0_116,plain,
( member(X1,cross_product(X2,X2))
| ~ member(X1,X3)
| ~ ilf_type(X3,identity_relation_of_type(X2)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_117,negated_conjecture,
ilf_type(esk16_0,identity_relation_of_type(esk15_0)),
i_0_70 ).
cnf(c_0_118,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_65 ).
cnf(c_0_119,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_113,c_0_98]),c_0_98])]) ).
cnf(c_0_120,plain,
( ilf_type(X1,identity_relation_of_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,relation_type(X2,X2)) ),
i_0_12 ).
cnf(c_0_121,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_39 ).
cnf(c_0_122,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_55 ).
cnf(c_0_123,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_98]),c_0_98])]) ).
cnf(c_0_124,plain,
( member(X1,power_set(X2))
| ~ member(esk12_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_98]),c_0_98])]) ).
cnf(c_0_125,negated_conjecture,
( member(X1,cross_product(esk15_0,esk15_0))
| ~ member(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_126,plain,
( member(X1,power_set(X2))
| member(esk12_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_50 ).
cnf(c_0_127,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_98]),c_0_98])]) ).
cnf(c_0_128,plain,
( range(X1,X1,X2) = range_of(X2)
| ~ ilf_type(X2,identity_relation_of_type(X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_112]) ).
cnf(c_0_129,plain,
( ilf_type(X1,identity_relation_of_type(X2))
| ~ ilf_type(X1,relation_type(X2,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_98]),c_0_98])]) ).
cnf(c_0_130,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_121,c_0_98]),c_0_98])]) ).
cnf(c_0_131,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_122,c_0_98]),c_0_98])]),c_0_123]) ).
cnf(c_0_132,plain,
( member(X1,power_set(cross_product(esk15_0,esk15_0)))
| ~ member(esk12_2(X1,cross_product(esk15_0,esk15_0)),esk16_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_133,plain,
( member(esk12_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_98]),c_0_98])]) ).
cnf(c_0_134,plain,
( ilf_type(range_of(X1),subset_type(X2))
| ~ ilf_type(X1,relation_type(X2,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_135,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_29 ).
cnf(c_0_136,plain,
( ilf_type(X1,subset_type(X2))
| ~ member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_137,plain,
member(esk16_0,power_set(cross_product(esk15_0,esk15_0))),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_138,plain,
( ilf_type(range_of(X1),subset_type(X2))
| ~ ilf_type(X1,identity_relation_of_type(X2)) ),
inference(spm,[status(thm)],[c_0_134,c_0_112]) ).
cnf(c_0_139,plain,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_63 ).
cnf(c_0_140,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_62 ).
cnf(c_0_141,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_135,c_0_98]),c_0_98])]) ).
cnf(c_0_142,plain,
ilf_type(esk16_0,subset_type(cross_product(esk15_0,esk15_0))),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_143,plain,
( compose(identity_relation_of(X1),X2) = X2
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ subset(domain_of(X2),X1) ),
i_0_1 ).
cnf(c_0_144,plain,
( member(X1,X2)
| ~ member(X1,range_of(X3))
| ~ ilf_type(X3,identity_relation_of_type(X2)) ),
inference(spm,[status(thm)],[c_0_108,c_0_138]) ).
cnf(c_0_145,plain,
( subset(X1,X2)
| member(esk7_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_34 ).
cnf(c_0_146,plain,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_98]),c_0_98])]) ).
cnf(c_0_147,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_140,c_0_98]),c_0_98])]) ).
cnf(c_0_148,plain,
ilf_type(esk16_0,relation_type(esk15_0,esk15_0)),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_149,negated_conjecture,
( compose(esk16_0,identity_relation_of(esk15_0)) != esk16_0
| compose(identity_relation_of(esk15_0),esk16_0) != esk16_0 ),
i_0_69 ).
cnf(c_0_150,plain,
( compose(identity_relation_of(X1),X2) = X2
| ~ subset(domain_of(X2),X1)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_98])]) ).
cnf(c_0_151,plain,
( compose(X1,identity_relation_of(X2)) = X1
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ subset(range_of(X1),X2) ),
i_0_2 ).
cnf(c_0_152,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk7_2(X1,X2),X2) ),
i_0_33 ).
cnf(c_0_153,negated_conjecture,
( member(X1,esk15_0)
| ~ member(X1,range_of(esk16_0)) ),
inference(spm,[status(thm)],[c_0_144,c_0_117]) ).
cnf(c_0_154,plain,
( member(esk7_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_98]),c_0_98])]) ).
cnf(c_0_155,plain,
( member(X1,X2)
| ~ member(X1,domain(X2,X3,X4))
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_108,c_0_146]) ).
cnf(c_0_156,plain,
domain(esk15_0,esk15_0,esk16_0) = domain_of(esk16_0),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_157,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_48 ).
cnf(c_0_158,negated_conjecture,
( compose(esk16_0,identity_relation_of(esk15_0)) != esk16_0
| ~ subset(domain_of(esk16_0),esk15_0)
| ~ ilf_type(esk16_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_159,plain,
( compose(X1,identity_relation_of(X2)) = X1
| ~ subset(range_of(X1),X2)
| ~ ilf_type(X1,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_98])]) ).
cnf(c_0_160,plain,
( subset(X1,X2)
| ~ member(esk7_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_98]),c_0_98])]) ).
cnf(c_0_161,plain,
( member(esk7_2(range_of(esk16_0),X1),esk15_0)
| subset(range_of(esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_162,plain,
( member(X1,esk15_0)
| ~ member(X1,domain_of(esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_148])]) ).
cnf(c_0_163,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_157,c_0_98]),c_0_98])]) ).
cnf(c_0_164,plain,
( ~ subset(domain_of(esk16_0),esk15_0)
| ~ subset(range_of(esk16_0),esk15_0)
| ~ ilf_type(esk16_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_165,plain,
subset(range_of(esk16_0),esk15_0),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_166,plain,
( member(esk7_2(domain_of(esk16_0),X1),esk15_0)
| subset(domain_of(esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_154]) ).
cnf(c_0_167,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_163,c_0_109]) ).
cnf(c_0_168,plain,
( ~ subset(domain_of(esk16_0),esk15_0)
| ~ ilf_type(esk16_0,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]) ).
cnf(c_0_169,plain,
subset(domain_of(esk16_0),esk15_0),
inference(spm,[status(thm)],[c_0_160,c_0_166]) ).
cnf(c_0_170,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_24 ).
cnf(c_0_171,plain,
( relation_like(X1)
| ~ ilf_type(X1,identity_relation_of_type(X2)) ),
inference(spm,[status(thm)],[c_0_167,c_0_112]) ).
cnf(c_0_172,plain,
~ ilf_type(esk16_0,binary_relation_type),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169])]) ).
cnf(c_0_173,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_98])]) ).
cnf(c_0_174,negated_conjecture,
relation_like(esk16_0),
inference(spm,[status(thm)],[c_0_171,c_0_117]) ).
cnf(c_0_175,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET678+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 04:45:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.45 # ENIGMATIC: Selected complete mode:
% 7.92/2.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.92/2.43 # No SInE strategy applied
% 7.92/2.43 # Trying AutoSched0 for 150 seconds
% 7.92/2.43 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 7.92/2.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.92/2.43 #
% 7.92/2.43 # Preprocessing time : 0.024 s
% 7.92/2.43
% 7.92/2.43 # Proof found!
% 7.92/2.43 # SZS status Theorem
% 7.92/2.43 # SZS output start CNFRefutation
% See solution above
% 7.92/2.43 # Training examples: 0 positive, 0 negative
% 7.92/2.43
% 7.92/2.43 # -------------------------------------------------
% 7.92/2.43 # User time : 0.041 s
% 7.92/2.43 # System time : 0.005 s
% 7.92/2.43 # Total time : 0.046 s
% 7.92/2.43 # Maximum resident set size: 7120 pages
% 7.92/2.43
%------------------------------------------------------------------------------