TSTP Solution File: SET649+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET649+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 8.48s 2.54s
% Output : CNFRefutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 50 ( 17 unt; 6 nHn; 46 RR)
% Number of literals : 138 ( 0 equ; 87 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 78 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
( subset(cross_product(X1,X2),cross_product(X3,X4))
| ~ subset(X2,X4)
| ~ subset(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_3) ).
cnf(i_0_49,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_49) ).
cnf(i_0_51,negated_conjecture,
subset(range_of(esk15_0),esk14_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_51) ).
cnf(i_0_1,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_1) ).
cnf(i_0_52,negated_conjecture,
subset(domain_of(esk15_0),esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_52) ).
cnf(i_0_2,plain,
( subset(X1,cross_product(domain_of(X1),range_of(X1)))
| ~ ilf_type(X1,binary_relation_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_2) ).
cnf(i_0_53,negated_conjecture,
ilf_type(esk15_0,binary_relation_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_53) ).
cnf(i_0_22,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_22) ).
cnf(i_0_37,plain,
( member(X1,power_set(X2))
| member(esk10_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_37) ).
cnf(i_0_47,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_47) ).
cnf(i_0_36,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk10_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_36) ).
cnf(i_0_42,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-tbji8cfr/input.p',i_0_42) ).
cnf(i_0_25,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-tbji8cfr/input.p',i_0_25) ).
cnf(i_0_5,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-tbji8cfr/input.p',i_0_5) ).
cnf(i_0_50,negated_conjecture,
~ ilf_type(esk15_0,relation_type(esk13_0,esk14_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tbji8cfr/input.p',i_0_50) ).
cnf(c_0_69,plain,
( subset(cross_product(X1,X2),cross_product(X3,X4))
| ~ subset(X2,X4)
| ~ subset(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_3 ).
cnf(c_0_70,plain,
ilf_type(X1,set_type),
i_0_49 ).
cnf(c_0_71,plain,
( subset(cross_product(X1,X2),cross_product(X3,X4))
| ~ subset(X2,X4)
| ~ subset(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_70]),c_0_70]),c_0_70])]) ).
cnf(c_0_72,negated_conjecture,
subset(range_of(esk15_0),esk14_0),
i_0_51 ).
cnf(c_0_73,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_1 ).
cnf(c_0_74,negated_conjecture,
( subset(cross_product(X1,range_of(esk15_0)),cross_product(X2,esk14_0))
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
subset(domain_of(esk15_0),esk13_0),
i_0_52 ).
cnf(c_0_76,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_70]),c_0_70]),c_0_70])]) ).
cnf(c_0_77,negated_conjecture,
subset(cross_product(domain_of(esk15_0),range_of(esk15_0)),cross_product(esk13_0,esk14_0)),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
( subset(X1,cross_product(domain_of(X1),range_of(X1)))
| ~ ilf_type(X1,binary_relation_type) ),
i_0_2 ).
cnf(c_0_79,negated_conjecture,
ilf_type(esk15_0,binary_relation_type),
i_0_53 ).
cnf(c_0_80,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
i_0_22 ).
cnf(c_0_81,plain,
( subset(X1,cross_product(esk13_0,esk14_0))
| ~ subset(X1,cross_product(domain_of(esk15_0),range_of(esk15_0))) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
subset(esk15_0,cross_product(domain_of(esk15_0),range_of(esk15_0))),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,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_80,c_0_70]),c_0_70]),c_0_70])]) ).
cnf(c_0_84,negated_conjecture,
subset(esk15_0,cross_product(esk13_0,esk14_0)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_85,plain,
( member(X1,power_set(X2))
| member(esk10_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_37 ).
cnf(c_0_86,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_47 ).
cnf(c_0_87,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk10_2(X1,X2),X2) ),
i_0_36 ).
cnf(c_0_88,plain,
( member(X1,cross_product(esk13_0,esk14_0))
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,plain,
( member(esk10_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_70]),c_0_70])]) ).
cnf(c_0_90,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_42 ).
cnf(c_0_91,plain,
( ~ member(X1,X2)
| ~ empty(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_70]),c_0_70])]) ).
cnf(c_0_92,plain,
( member(X1,power_set(X2))
| ~ member(esk10_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_70]),c_0_70])]) ).
cnf(c_0_93,plain,
( member(esk10_2(esk15_0,X1),cross_product(esk13_0,esk14_0))
| member(esk15_0,power_set(X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,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_25 ).
cnf(c_0_95,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_90,c_0_70]),c_0_70])]),c_0_91]) ).
cnf(c_0_96,plain,
member(esk15_0,power_set(cross_product(esk13_0,esk14_0))),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,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_5 ).
cnf(c_0_98,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_94,c_0_70]),c_0_70])]) ).
cnf(c_0_99,plain,
ilf_type(esk15_0,member_type(power_set(cross_product(esk13_0,esk14_0)))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,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_97,c_0_70]),c_0_70])]) ).
cnf(c_0_101,plain,
ilf_type(esk15_0,subset_type(cross_product(esk13_0,esk14_0))),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
~ ilf_type(esk15_0,relation_type(esk13_0,esk14_0)),
i_0_50 ).
cnf(c_0_103,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET649+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n022.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 : Sun Jul 10 19:55:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.48/2.54 # ENIGMATIC: Solved by autoschedule:
% 8.48/2.54 # No SInE strategy applied
% 8.48/2.54 # Trying AutoSched0 for 150 seconds
% 8.48/2.54 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.48/2.54 # and selection function SelectNewComplexAHP.
% 8.48/2.54 #
% 8.48/2.54 # Preprocessing time : 0.024 s
% 8.48/2.54 # Presaturation interreduction done
% 8.48/2.54
% 8.48/2.54 # Proof found!
% 8.48/2.54 # SZS status Theorem
% 8.48/2.54 # SZS output start CNFRefutation
% See solution above
% 8.48/2.55 # Training examples: 0 positive, 0 negative
% 8.48/2.55
% 8.48/2.55 # -------------------------------------------------
% 8.48/2.55 # User time : 0.184 s
% 8.48/2.55 # System time : 0.011 s
% 8.48/2.55 # Total time : 0.195 s
% 8.48/2.55 # Maximum resident set size: 7116 pages
% 8.48/2.55
%------------------------------------------------------------------------------