%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET667+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 00:13:18 EDT 2022
% Result : Theorem 8.07s 2.38s
% Output : CNFRefutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 56 ( 14 unt; 7 nHn; 49 RR)
% Number of literals : 151 ( 8 equ; 91 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 96 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,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-dc6rf6mo/lgb.p',i_0_9) ).
cnf(i_0_58,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dc6rf6mo/lgb.p',i_0_58) ).
cnf(i_0_49,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-dc6rf6mo/lgb.p',i_0_49) ).
cnf(i_0_61,negated_conjecture,
ilf_type(esk16_0,relation_type(esk13_0,esk14_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dc6rf6mo/lgb.p',i_0_61) ).
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-dc6rf6mo/lgb.p',i_0_25) ).
cnf(i_0_56,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-dc6rf6mo/lgb.p',i_0_56) ).
cnf(i_0_15,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-dc6rf6mo/lgb.p',i_0_15) ).
cnf(i_0_4,plain,
( member(ordered_pair(X1,X1),identity_relation_of(X2))
| ~ member(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dc6rf6mo/lgb.p',i_0_4) ).
cnf(i_0_13,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dc6rf6mo/lgb.p',i_0_13) ).
cnf(i_0_1,plain,
( member(X1,range_of(X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dc6rf6mo/lgb.p',i_0_1) ).
cnf(i_0_60,negated_conjecture,
subset(identity_relation_of(esk15_0),esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dc6rf6mo/lgb.p',i_0_60) ).
cnf(i_0_54,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-dc6rf6mo/lgb.p',i_0_54) ).
cnf(i_0_2,plain,
( member(X1,domain_of(X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dc6rf6mo/lgb.p',i_0_2) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dc6rf6mo/lgb.p',i_0_12) ).
cnf(i_0_59,negated_conjecture,
( ~ subset(esk15_0,domain(esk13_0,esk14_0,esk16_0))
| ~ subset(esk15_0,range(esk13_0,esk14_0,esk16_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dc6rf6mo/lgb.p',i_0_59) ).
cnf(c_0_77,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_9 ).
cnf(c_0_78,plain,
ilf_type(X1,set_type),
i_0_58 ).
cnf(c_0_79,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_49 ).
cnf(c_0_80,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_77,c_0_78]),c_0_78])]) ).
cnf(c_0_81,negated_conjecture,
ilf_type(esk16_0,relation_type(esk13_0,esk14_0)),
i_0_61 ).
cnf(c_0_82,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_25 ).
cnf(c_0_83,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_79,c_0_78]),c_0_78])]) ).
cnf(c_0_84,negated_conjecture,
ilf_type(esk16_0,subset_type(cross_product(esk13_0,esk14_0))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,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_56 ).
cnf(c_0_86,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_15 ).
cnf(c_0_87,plain,
( member(ordered_pair(X1,X1),identity_relation_of(X2))
| ~ member(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_4 ).
cnf(c_0_88,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_13 ).
cnf(c_0_89,plain,
( member(X1,range_of(X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X3,X1),X2) ),
i_0_1 ).
cnf(c_0_90,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_78])]) ).
cnf(c_0_91,plain,
relation_like(esk16_0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_92,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_85,c_0_78]),c_0_78])]) ).
cnf(c_0_93,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_86,c_0_78]),c_0_78]),c_0_78])]) ).
cnf(c_0_94,negated_conjecture,
subset(identity_relation_of(esk15_0),esk16_0),
i_0_60 ).
cnf(c_0_95,plain,
( member(ordered_pair(X1,X1),identity_relation_of(X2))
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_78]),c_0_78])]) ).
cnf(c_0_96,plain,
( member(esk2_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_78]),c_0_78])]) ).
cnf(c_0_97,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_54 ).
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_89,c_0_78]),c_0_78])]) ).
cnf(c_0_99,plain,
ilf_type(esk16_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_100,negated_conjecture,
range_of(esk16_0) = range(esk13_0,esk14_0,esk16_0),
inference(spm,[status(thm)],[c_0_92,c_0_81]) ).
cnf(c_0_101,negated_conjecture,
( member(X1,esk16_0)
| ~ member(X1,identity_relation_of(esk15_0)) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_102,plain,
( member(ordered_pair(esk2_2(X1,X2),esk2_2(X1,X2)),identity_relation_of(X1))
| subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,plain,
( member(X1,domain_of(X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X3),X2) ),
i_0_2 ).
cnf(c_0_104,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_97,c_0_78]),c_0_78])]) ).
cnf(c_0_105,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk2_2(X1,X2),X2) ),
i_0_12 ).
cnf(c_0_106,plain,
( member(X1,range(esk13_0,esk14_0,esk16_0))
| ~ member(ordered_pair(X2,X1),esk16_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_107,negated_conjecture,
( member(ordered_pair(esk2_2(esk15_0,X1),esk2_2(esk15_0,X1)),esk16_0)
| subset(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,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_103,c_0_78]),c_0_78])]) ).
cnf(c_0_109,negated_conjecture,
domain_of(esk16_0) = domain(esk13_0,esk14_0,esk16_0),
inference(spm,[status(thm)],[c_0_104,c_0_81]) ).
cnf(c_0_110,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_78]),c_0_78])]) ).
cnf(c_0_111,plain,
( member(esk2_2(esk15_0,X1),range(esk13_0,esk14_0,esk16_0))
| subset(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,plain,
( member(X1,domain(esk13_0,esk14_0,esk16_0))
| ~ member(ordered_pair(X1,X2),esk16_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_99]),c_0_109]) ).
cnf(c_0_113,negated_conjecture,
( ~ subset(esk15_0,domain(esk13_0,esk14_0,esk16_0))
| ~ subset(esk15_0,range(esk13_0,esk14_0,esk16_0)) ),
i_0_59 ).
cnf(c_0_114,plain,
subset(esk15_0,range(esk13_0,esk14_0,esk16_0)),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
( member(esk2_2(esk15_0,X1),domain(esk13_0,esk14_0,esk16_0))
| subset(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_107]) ).
cnf(c_0_116,negated_conjecture,
~ subset(esk15_0,domain(esk13_0,esk14_0,esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114])]) ).
cnf(c_0_117,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_115]),c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET667+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n004.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 00:29:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.07/2.38 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.07/2.38 # No SInE strategy applied
% 8.07/2.38 # Trying AutoSched0 for 150 seconds
% 8.07/2.38 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.07/2.38 # and selection function SelectNewComplexAHPNS.
% 8.07/2.38 #
% 8.07/2.38 # Preprocessing time : 0.024 s
% 8.07/2.38
% 8.07/2.38 # Proof found!
% 8.07/2.38 # SZS status Theorem
% 8.07/2.38 # SZS output start CNFRefutation
% See solution above
% 8.07/2.38 # Training examples: 0 positive, 0 negative
% 8.07/2.38
% 8.07/2.38 # -------------------------------------------------
% 8.07/2.38 # User time : 0.035 s
% 8.07/2.38 # System time : 0.005 s
% 8.07/2.38 # Total time : 0.040 s
% 8.07/2.38 # Maximum resident set size: 7124 pages
% 8.07/2.38
%------------------------------------------------------------------------------