TSTP Solution File: SET668+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET668+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 6.73s 2.27s
% Output : CNFRefutation 6.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 51 ( 15 unt; 7 nHn; 47 RR)
% Number of literals : 144 ( 7 equ; 92 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 : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 83 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_57,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/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_57) ).
cnf(i_0_60,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_60) ).
cnf(i_0_32,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/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_32) ).
cnf(i_0_63,negated_conjecture,
ilf_type(esk15_0,relation_type(esk14_0,esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_63) ).
cnf(i_0_43,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/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_43) ).
cnf(i_0_41,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_41) ).
cnf(i_0_3,plain,
( subset(X1,domain(X2,X3,X4))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_3) ).
cnf(i_0_39,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/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_39) ).
cnf(i_0_2,plain,
( subset(X1,range(X2,X3,X4))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_2) ).
cnf(i_0_62,negated_conjecture,
subset(identity_relation_of(esk14_0),esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_62) ).
cnf(i_0_12,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-eky6vu0d/lgb.p',i_0_12) ).
cnf(i_0_20,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-eky6vu0d/lgb.p',i_0_20) ).
cnf(i_0_11,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-eky6vu0d/lgb.p',i_0_11) ).
cnf(i_0_61,negated_conjecture,
( domain(esk14_0,esk13_0,esk15_0) != esk14_0
| ~ subset(esk14_0,range(esk14_0,esk13_0,esk15_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eky6vu0d/lgb.p',i_0_61) ).
cnf(c_0_78,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_57 ).
cnf(c_0_79,plain,
ilf_type(X1,set_type),
i_0_60 ).
cnf(c_0_80,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_32 ).
cnf(c_0_81,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_78,c_0_79]),c_0_79])]) ).
cnf(c_0_82,negated_conjecture,
ilf_type(esk15_0,relation_type(esk14_0,esk13_0)),
i_0_63 ).
cnf(c_0_83,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_43 ).
cnf(c_0_84,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_80,c_0_79]),c_0_79])]) ).
cnf(c_0_85,negated_conjecture,
ilf_type(domain(esk14_0,esk13_0,esk15_0),subset_type(esk14_0)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_41 ).
cnf(c_0_87,plain,
( subset(X1,domain(X2,X3,X4))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
i_0_3 ).
cnf(c_0_88,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_39 ).
cnf(c_0_89,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_83,c_0_79]),c_0_79])]) ).
cnf(c_0_90,plain,
ilf_type(domain(esk14_0,esk13_0,esk15_0),member_type(power_set(esk14_0))),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_79])]) ).
cnf(c_0_92,plain,
( subset(X1,range(X2,X3,X4))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
i_0_2 ).
cnf(c_0_93,plain,
( subset(X1,domain(X2,X3,X4))
| ~ ilf_type(X4,relation_type(X2,X3))
| ~ subset(identity_relation_of(X1),X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_79]),c_0_79]),c_0_79])]) ).
cnf(c_0_94,negated_conjecture,
subset(identity_relation_of(esk14_0),esk15_0),
i_0_62 ).
cnf(c_0_95,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_88,c_0_79]),c_0_79]),c_0_79])]) ).
cnf(c_0_96,plain,
member(domain(esk14_0,esk13_0,esk15_0),power_set(esk14_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_97,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_12 ).
cnf(c_0_98,plain,
( subset(X1,range(X2,X3,X4))
| ~ ilf_type(X4,relation_type(X2,X3))
| ~ subset(identity_relation_of(X1),X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_79]),c_0_79]),c_0_79])]) ).
cnf(c_0_99,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_20 ).
cnf(c_0_100,negated_conjecture,
( subset(esk14_0,domain(X1,X2,esk15_0))
| ~ ilf_type(esk15_0,relation_type(X1,X2)) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk2_2(X1,X2),X2) ),
i_0_11 ).
cnf(c_0_102,plain,
( member(X1,esk14_0)
| ~ member(X1,domain(esk14_0,esk13_0,esk15_0)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,plain,
( member(esk2_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_79]),c_0_79])]) ).
cnf(c_0_104,negated_conjecture,
( subset(esk14_0,range(X1,X2,esk15_0))
| ~ ilf_type(esk15_0,relation_type(X1,X2)) ),
inference(spm,[status(thm)],[c_0_98,c_0_94]) ).
cnf(c_0_105,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_79]),c_0_79])]) ).
cnf(c_0_106,negated_conjecture,
subset(esk14_0,domain(esk14_0,esk13_0,esk15_0)),
inference(spm,[status(thm)],[c_0_100,c_0_82]) ).
cnf(c_0_107,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_79]),c_0_79])]) ).
cnf(c_0_108,plain,
( member(esk2_2(domain(esk14_0,esk13_0,esk15_0),X1),esk14_0)
| subset(domain(esk14_0,esk13_0,esk15_0),X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
( domain(esk14_0,esk13_0,esk15_0) != esk14_0
| ~ subset(esk14_0,range(esk14_0,esk13_0,esk15_0)) ),
i_0_61 ).
cnf(c_0_110,negated_conjecture,
subset(esk14_0,range(esk14_0,esk13_0,esk15_0)),
inference(spm,[status(thm)],[c_0_104,c_0_82]) ).
cnf(c_0_111,plain,
( domain(esk14_0,esk13_0,esk15_0) = esk14_0
| ~ subset(domain(esk14_0,esk13_0,esk15_0),esk14_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_112,plain,
subset(domain(esk14_0,esk13_0,esk15_0),esk14_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,negated_conjecture,
domain(esk14_0,esk13_0,esk15_0) != esk14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).
cnf(c_0_114,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]),c_0_113]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET668+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 : n018.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 10:48:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 6.73/2.27 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.73/2.27 # No SInE strategy applied
% 6.73/2.27 # Trying AutoSched0 for 150 seconds
% 6.73/2.27 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 6.73/2.27 # and selection function SelectNewComplexAHPNS.
% 6.73/2.27 #
% 6.73/2.27 # Preprocessing time : 0.022 s
% 6.73/2.27
% 6.73/2.27 # Proof found!
% 6.73/2.27 # SZS status Theorem
% 6.73/2.27 # SZS output start CNFRefutation
% See solution above
% 6.73/2.27 # Training examples: 0 positive, 0 negative
% 6.73/2.27
% 6.73/2.27 # -------------------------------------------------
% 6.73/2.27 # User time : 0.021 s
% 6.73/2.27 # System time : 0.009 s
% 6.73/2.27 # Total time : 0.029 s
% 6.73/2.27 # Maximum resident set size: 7124 pages
% 6.73/2.27
%------------------------------------------------------------------------------