TSTP Solution File: SET657+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET657+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 00:13:14 EDT 2022
% Result : Theorem 7.74s 2.31s
% Output : CNFRefutation 7.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 67 ( 16 unt; 8 nHn; 62 RR)
% Number of literals : 187 ( 10 equ; 118 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 125 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_33,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-wxvrfe46/lgb.p',i_0_33) ).
cnf(i_0_62,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wxvrfe46/lgb.p',i_0_62) ).
cnf(i_0_37,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-wxvrfe46/lgb.p',i_0_37) ).
cnf(i_0_35,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wxvrfe46/lgb.p',i_0_35) ).
cnf(i_0_60,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-wxvrfe46/lgb.p',i_0_60) ).
cnf(i_0_58,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-wxvrfe46/lgb.p',i_0_58) ).
cnf(i_0_25,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-wxvrfe46/lgb.p',i_0_25) ).
cnf(i_0_61,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/sandbox/tmp/enigma-theBenchmark.p-wxvrfe46/lgb.p',i_0_61) ).
cnf(i_0_64,negated_conjecture,
ilf_type(esk14_0,relation_type(esk12_0,esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wxvrfe46/lgb.p',i_0_64) ).
cnf(i_0_59,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-wxvrfe46/lgb.p',i_0_59) ).
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-wxvrfe46/lgb.p',i_0_13) ).
cnf(i_0_1,plain,
( subset(union(X1,X2),union(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/sandbox/tmp/enigma-theBenchmark.p-wxvrfe46/lgb.p',i_0_1) ).
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-wxvrfe46/lgb.p',i_0_12) ).
cnf(i_0_50,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-wxvrfe46/lgb.p',i_0_50) ).
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-wxvrfe46/lgb.p',i_0_9) ).
cnf(i_0_7,plain,
( union(domain_of(X1),range_of(X1)) = field_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wxvrfe46/lgb.p',i_0_7) ).
cnf(i_0_63,negated_conjecture,
~ subset(field_of(esk14_0),union(esk12_0,esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wxvrfe46/lgb.p',i_0_63) ).
cnf(i_0_20,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wxvrfe46/lgb.p',i_0_20) ).
cnf(c_0_83,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_33 ).
cnf(c_0_84,plain,
ilf_type(X1,set_type),
i_0_62 ).
cnf(c_0_85,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_37 ).
cnf(c_0_86,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_35 ).
cnf(c_0_87,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_60 ).
cnf(c_0_88,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_58 ).
cnf(c_0_89,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_83,c_0_84]),c_0_84]),c_0_84])]) ).
cnf(c_0_90,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_85,c_0_84]),c_0_84])]) ).
cnf(c_0_91,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_84])]) ).
cnf(c_0_92,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_25 ).
cnf(c_0_93,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_61 ).
cnf(c_0_94,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_87,c_0_84]),c_0_84])]) ).
cnf(c_0_95,negated_conjecture,
ilf_type(esk14_0,relation_type(esk12_0,esk13_0)),
i_0_64 ).
cnf(c_0_96,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_59 ).
cnf(c_0_97,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_88,c_0_84]),c_0_84])]) ).
cnf(c_0_98,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,member_type(power_set(X2))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_99,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_92,c_0_84]),c_0_84])]) ).
cnf(c_0_100,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_93,c_0_84]),c_0_84])]) ).
cnf(c_0_101,negated_conjecture,
range(esk12_0,esk13_0,esk14_0) = range_of(esk14_0),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_102,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_96,c_0_84]),c_0_84])]) ).
cnf(c_0_103,negated_conjecture,
domain(esk12_0,esk13_0,esk14_0) = domain_of(esk14_0),
inference(spm,[status(thm)],[c_0_97,c_0_95]) ).
cnf(c_0_104,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,subset_type(X2)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,plain,
ilf_type(range_of(esk14_0),subset_type(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_95])]) ).
cnf(c_0_106,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_107,plain,
ilf_type(domain_of(esk14_0),subset_type(esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_95])]) ).
cnf(c_0_108,plain,
( subset(union(X1,X2),union(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_1 ).
cnf(c_0_109,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_110,plain,
( member(X1,esk13_0)
| ~ member(X1,range_of(esk14_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,plain,
( member(esk2_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_84]),c_0_84])]) ).
cnf(c_0_112,plain,
( member(X1,esk12_0)
| ~ member(X1,domain_of(esk14_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_107]) ).
cnf(c_0_113,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_50 ).
cnf(c_0_114,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_115,plain,
( subset(union(X1,X2),union(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_108,c_0_84]),c_0_84]),c_0_84]),c_0_84])]) ).
cnf(c_0_116,plain,
( union(domain_of(X1),range_of(X1)) = field_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
i_0_7 ).
cnf(c_0_117,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_84]),c_0_84])]) ).
cnf(c_0_118,plain,
( member(esk2_2(range_of(esk14_0),X1),esk13_0)
| subset(range_of(esk14_0),X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_119,plain,
( member(esk2_2(domain_of(esk14_0),X1),esk12_0)
| subset(domain_of(esk14_0),X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_111]) ).
cnf(c_0_120,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_113,c_0_84]),c_0_84])]) ).
cnf(c_0_121,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_114,c_0_84]),c_0_84])]) ).
cnf(c_0_122,negated_conjecture,
~ subset(field_of(esk14_0),union(esk12_0,esk13_0)),
i_0_63 ).
cnf(c_0_123,plain,
( subset(field_of(X1),union(X2,X3))
| ~ subset(range_of(X1),X3)
| ~ subset(domain_of(X1),X2)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_124,plain,
subset(range_of(esk14_0),esk13_0),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,plain,
subset(domain_of(esk14_0),esk12_0),
inference(spm,[status(thm)],[c_0_117,c_0_119]) ).
cnf(c_0_126,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_20 ).
cnf(c_0_127,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
~ ilf_type(esk14_0,binary_relation_type),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_125])]) ).
cnf(c_0_129,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_84])]) ).
cnf(c_0_130,negated_conjecture,
relation_like(esk14_0),
inference(spm,[status(thm)],[c_0_127,c_0_95]) ).
cnf(c_0_131,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET657+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 09:01:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.74/2.31 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.74/2.31 # No SInE strategy applied
% 7.74/2.31 # Trying AutoSched0 for 150 seconds
% 7.74/2.31 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 7.74/2.31 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.74/2.31 #
% 7.74/2.31 # Preprocessing time : 0.021 s
% 7.74/2.31
% 7.74/2.31 # Proof found!
% 7.74/2.31 # SZS status Theorem
% 7.74/2.31 # SZS output start CNFRefutation
% See solution above
% 7.74/2.31 # Training examples: 0 positive, 0 negative
% 7.74/2.31
% 7.74/2.31 # -------------------------------------------------
% 7.74/2.31 # User time : 0.030 s
% 7.74/2.31 # System time : 0.006 s
% 7.74/2.31 # Total time : 0.037 s
% 7.74/2.31 # Maximum resident set size: 7124 pages
% 7.74/2.31
%------------------------------------------------------------------------------