TSTP Solution File: SET650+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET650+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 00:13:11 EDT 2022
% Result : Theorem 8.43s 2.52s
% Output : CNFRefutation 8.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 47 ( 10 unt; 9 nHn; 38 RR)
% Number of literals : 136 ( 0 equ; 83 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 89 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,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-bpuchdqz/lgb.p',i_0_17) ).
cnf(i_0_54,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_54) ).
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/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_49) ).
cnf(i_0_56,negated_conjecture,
ilf_type(esk17_0,relation_type(esk15_0,esk16_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_56) ).
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/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_2) ).
cnf(i_0_21,plain,
( subset(X1,X2)
| member(esk6_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_21) ).
cnf(i_0_26,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_26) ).
cnf(i_0_8,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/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_8) ).
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/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_5) ).
cnf(i_0_7,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/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_7) ).
cnf(i_0_20,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk6_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_20) ).
cnf(i_0_55,negated_conjecture,
( ~ subset(domain_of(esk17_0),esk15_0)
| ~ subset(range_of(esk17_0),esk16_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bpuchdqz/lgb.p',i_0_55) ).
cnf(c_0_69,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_17 ).
cnf(c_0_70,plain,
ilf_type(X1,set_type),
i_0_54 ).
cnf(c_0_71,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_72,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_69,c_0_70]),c_0_70])]) ).
cnf(c_0_73,negated_conjecture,
ilf_type(esk17_0,relation_type(esk15_0,esk16_0)),
i_0_56 ).
cnf(c_0_74,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_75,plain,
( subset(X1,X2)
| member(esk6_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_21 ).
cnf(c_0_76,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_26 ).
cnf(c_0_77,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_71,c_0_70]),c_0_70])]) ).
cnf(c_0_78,negated_conjecture,
ilf_type(esk17_0,subset_type(cross_product(esk15_0,esk16_0))),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,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_8 ).
cnf(c_0_80,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_74,c_0_70])]) ).
cnf(c_0_81,plain,
( member(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_70]),c_0_70])]) ).
cnf(c_0_82,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_70])]) ).
cnf(c_0_83,plain,
relation_like(esk17_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,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_85,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_79,c_0_70]),c_0_70]),c_0_70]),c_0_70])]) ).
cnf(c_0_86,plain,
( member(ordered_pair(esk6_2(domain_of(X1),X2),esk1_2(esk6_2(domain_of(X1),X2),X1)),X1)
| subset(domain_of(X1),X2)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,plain,
ilf_type(esk17_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,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_7 ).
cnf(c_0_89,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_84,c_0_70])]) ).
cnf(c_0_90,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk6_2(X1,X2),X2) ),
i_0_20 ).
cnf(c_0_91,negated_conjecture,
( member(X1,esk15_0)
| ~ member(ordered_pair(X1,X2),esk17_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_73]) ).
cnf(c_0_92,plain,
( member(ordered_pair(esk6_2(domain_of(esk17_0),X1),esk1_2(esk6_2(domain_of(esk17_0),X1),esk17_0)),esk17_0)
| subset(domain_of(esk17_0),X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,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_88,c_0_70]),c_0_70]),c_0_70]),c_0_70])]) ).
cnf(c_0_94,plain,
( member(ordered_pair(esk2_2(esk6_2(range_of(X1),X2),X1),esk6_2(range_of(X1),X2)),X1)
| subset(range_of(X1),X2)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_89,c_0_81]) ).
cnf(c_0_95,plain,
( subset(X1,X2)
| ~ member(esk6_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_70]),c_0_70])]) ).
cnf(c_0_96,negated_conjecture,
( member(esk6_2(domain_of(esk17_0),X1),esk15_0)
| subset(domain_of(esk17_0),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
( member(X1,esk16_0)
| ~ member(ordered_pair(X2,X1),esk17_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_73]) ).
cnf(c_0_98,plain,
( member(ordered_pair(esk2_2(esk6_2(range_of(esk17_0),X1),esk17_0),esk6_2(range_of(esk17_0),X1)),esk17_0)
| subset(range_of(esk17_0),X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_87]) ).
cnf(c_0_99,negated_conjecture,
( ~ subset(domain_of(esk17_0),esk15_0)
| ~ subset(range_of(esk17_0),esk16_0) ),
i_0_55 ).
cnf(c_0_100,plain,
subset(domain_of(esk17_0),esk15_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,negated_conjecture,
( member(esk6_2(range_of(esk17_0),X1),esk16_0)
| subset(range_of(esk17_0),X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
~ subset(range_of(esk17_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
cnf(c_0_103,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_101]),c_0_102]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET650+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n024.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 : Mon Jul 11 09:00:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.43/2.52 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.43/2.52 # No SInE strategy applied
% 8.43/2.52 # Trying AutoSched0 for 150 seconds
% 8.43/2.52 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PI_S0a
% 8.43/2.52 # and selection function SelectNegativeLiterals.
% 8.43/2.52 #
% 8.43/2.52 # Preprocessing time : 0.025 s
% 8.43/2.52
% 8.43/2.52 # Proof found!
% 8.43/2.52 # SZS status Theorem
% 8.43/2.52 # SZS output start CNFRefutation
% See solution above
% 8.43/2.52 # Training examples: 0 positive, 0 negative
% 8.43/2.52
% 8.43/2.52 # -------------------------------------------------
% 8.43/2.52 # User time : 0.052 s
% 8.43/2.52 # System time : 0.011 s
% 8.43/2.52 # Total time : 0.063 s
% 8.43/2.52 # Maximum resident set size: 7120 pages
% 8.43/2.52
%------------------------------------------------------------------------------