TSTP Solution File: SET660+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET660+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 00:13:15 EDT 2022
% Result : Theorem 7.80s 2.43s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of clauses : 75 ( 14 unt; 13 nHn; 71 RR)
% Number of literals : 214 ( 23 equ; 135 neg)
% Maximal clause size : 6 ( 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; 6 con; 0-3 aty)
% Number of variables : 119 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_48,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-o63z5d0d/lgb.p',i_0_48) ).
cnf(i_0_65,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_65) ).
cnf(i_0_29,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-o63z5d0d/lgb.p',i_0_29) ).
cnf(i_0_46,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_46) ).
cnf(i_0_63,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-o63z5d0d/lgb.p',i_0_63) ).
cnf(i_0_44,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-o63z5d0d/lgb.p',i_0_44) ).
cnf(i_0_64,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-o63z5d0d/lgb.p',i_0_64) ).
cnf(i_0_71,negated_conjecture,
ilf_type(esk16_0,relation_type(esk14_0,esk15_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_71) ).
cnf(i_0_66,negated_conjecture,
( range(esk14_0,esk15_0,esk16_0) = esk15_0
| member(ordered_pair(esk18_1(X1),X1),esk16_0)
| ~ ilf_type(X1,set_type)
| ~ member(X1,esk15_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_66) ).
cnf(i_0_37,plain,
( subset(X1,X2)
| member(esk7_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_37) ).
cnf(i_0_5,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-o63z5d0d/lgb.p',i_0_5) ).
cnf(i_0_36,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk7_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_36) ).
cnf(i_0_16,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-o63z5d0d/lgb.p',i_0_16) ).
cnf(i_0_56,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-o63z5d0d/lgb.p',i_0_56) ).
cnf(i_0_13,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-o63z5d0d/lgb.p',i_0_13) ).
cnf(i_0_68,negated_conjecture,
( range(esk14_0,esk15_0,esk16_0) != esk15_0
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,esk17_0),esk16_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_68) ).
cnf(i_0_24,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_24) ).
cnf(i_0_69,negated_conjecture,
( member(esk17_0,esk15_0)
| range(esk14_0,esk15_0,esk16_0) != esk15_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_69) ).
cnf(i_0_2,plain,
( member(ordered_pair(esk1_2(X1,X2),X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X2,range_of(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o63z5d0d/lgb.p',i_0_2) ).
cnf(c_0_91,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_48 ).
cnf(c_0_92,plain,
ilf_type(X1,set_type),
i_0_65 ).
cnf(c_0_93,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_29 ).
cnf(c_0_94,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_46 ).
cnf(c_0_95,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_63 ).
cnf(c_0_96,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_44 ).
cnf(c_0_97,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_91,c_0_92]),c_0_92])]) ).
cnf(c_0_98,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_93,c_0_92]),c_0_92])]) ).
cnf(c_0_99,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_92])]) ).
cnf(c_0_100,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_64 ).
cnf(c_0_101,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_95,c_0_92]),c_0_92])]) ).
cnf(c_0_102,negated_conjecture,
ilf_type(esk16_0,relation_type(esk14_0,esk15_0)),
i_0_71 ).
cnf(c_0_103,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_96,c_0_92]),c_0_92]),c_0_92])]) ).
cnf(c_0_104,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,subset_type(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_105,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_100,c_0_92]),c_0_92])]) ).
cnf(c_0_106,negated_conjecture,
range(esk14_0,esk15_0,esk16_0) = range_of(esk16_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( range(esk14_0,esk15_0,esk16_0) = esk15_0
| member(ordered_pair(esk18_1(X1),X1),esk16_0)
| ~ ilf_type(X1,set_type)
| ~ member(X1,esk15_0) ),
i_0_66 ).
cnf(c_0_108,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,subset_type(X2)) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,plain,
ilf_type(range_of(esk16_0),subset_type(esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_102])]) ).
cnf(c_0_110,plain,
( subset(X1,X2)
| member(esk7_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_37 ).
cnf(c_0_111,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_5 ).
cnf(c_0_112,negated_conjecture,
( range(esk14_0,esk15_0,esk16_0) = esk15_0
| member(ordered_pair(esk18_1(X1),X1),esk16_0)
| ~ member(X1,esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_92])]) ).
cnf(c_0_113,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk7_2(X1,X2),X2) ),
i_0_36 ).
cnf(c_0_114,plain,
( member(X1,esk15_0)
| ~ member(X1,range_of(esk16_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,plain,
( subset(X1,X2)
| member(esk7_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_92]),c_0_92])]) ).
cnf(c_0_116,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_111,c_0_92]),c_0_92])]) ).
cnf(c_0_117,negated_conjecture,
( range_of(esk16_0) = esk15_0
| member(ordered_pair(esk18_1(X1),X1),esk16_0)
| ~ member(X1,esk15_0) ),
inference(rw,[status(thm)],[c_0_112,c_0_106]) ).
cnf(c_0_118,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_16 ).
cnf(c_0_119,plain,
( subset(X1,X2)
| ~ member(esk7_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_92]),c_0_92])]) ).
cnf(c_0_120,plain,
( subset(range_of(esk16_0),X1)
| member(esk7_2(range_of(esk16_0),X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_121,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_56 ).
cnf(c_0_122,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_13 ).
cnf(c_0_123,plain,
( range_of(esk16_0) = esk15_0
| member(X1,range_of(esk16_0))
| ~ member(X1,esk15_0)
| ~ ilf_type(esk16_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_124,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_92]),c_0_92])]) ).
cnf(c_0_125,plain,
subset(range_of(esk16_0),esk15_0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_126,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_121,c_0_92]),c_0_92])]) ).
cnf(c_0_127,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_122,c_0_92]),c_0_92])]) ).
cnf(c_0_128,negated_conjecture,
( range(esk14_0,esk15_0,esk16_0) != esk15_0
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,esk17_0),esk16_0) ),
i_0_68 ).
cnf(c_0_129,plain,
( range_of(esk16_0) = esk15_0
| subset(X1,range_of(esk16_0))
| ~ member(esk7_2(X1,range_of(esk16_0)),esk15_0)
| ~ ilf_type(esk16_0,binary_relation_type) ),
inference(spm,[status(thm)],[c_0_119,c_0_123]) ).
cnf(c_0_130,plain,
( range_of(esk16_0) = esk15_0
| ~ subset(esk15_0,range_of(esk16_0)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_24 ).
cnf(c_0_132,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_133,negated_conjecture,
( range(esk14_0,esk15_0,esk16_0) != esk15_0
| ~ member(ordered_pair(X1,esk17_0),esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_92])]) ).
cnf(c_0_134,plain,
( range_of(esk16_0) = esk15_0
| ~ ilf_type(esk16_0,binary_relation_type) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_115]),c_0_130]) ).
cnf(c_0_135,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_92])]) ).
cnf(c_0_136,negated_conjecture,
relation_like(esk16_0),
inference(spm,[status(thm)],[c_0_132,c_0_102]) ).
cnf(c_0_137,negated_conjecture,
( member(esk17_0,esk15_0)
| range(esk14_0,esk15_0,esk16_0) != esk15_0 ),
i_0_69 ).
cnf(c_0_138,negated_conjecture,
( range_of(esk16_0) != esk15_0
| ~ member(ordered_pair(X1,esk17_0),esk16_0) ),
inference(rw,[status(thm)],[c_0_133,c_0_106]) ).
cnf(c_0_139,plain,
range_of(esk16_0) = esk15_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).
cnf(c_0_140,plain,
( member(ordered_pair(esk1_2(X1,X2),X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X2,range_of(X1)) ),
i_0_2 ).
cnf(c_0_141,negated_conjecture,
( member(esk17_0,esk15_0)
| range_of(esk16_0) != esk15_0 ),
inference(rw,[status(thm)],[c_0_137,c_0_106]) ).
cnf(c_0_142,negated_conjecture,
~ member(ordered_pair(X1,esk17_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]) ).
cnf(c_0_143,plain,
( member(ordered_pair(esk1_2(X1,X2),X2),X1)
| ~ member(X2,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_92])]) ).
cnf(c_0_144,negated_conjecture,
member(esk17_0,esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_139])]) ).
cnf(c_0_145,plain,
~ ilf_type(esk16_0,binary_relation_type),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_139]),c_0_144])]) ).
cnf(c_0_146,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_135]),c_0_136])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET660+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 05:27:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.80/2.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.80/2.43 # No SInE strategy applied
% 7.80/2.43 # Trying AutoSched0 for 150 seconds
% 7.80/2.43 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 7.80/2.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.80/2.43 #
% 7.80/2.43 # Preprocessing time : 0.019 s
% 7.80/2.43
% 7.80/2.43 # Proof found!
% 7.80/2.43 # SZS status Theorem
% 7.80/2.43 # SZS output start CNFRefutation
% See solution above
% 7.80/2.43 # Training examples: 0 positive, 0 negative
% 7.80/2.43
% 7.80/2.43 # -------------------------------------------------
% 7.80/2.43 # User time : 0.046 s
% 7.80/2.43 # System time : 0.004 s
% 7.80/2.43 # Total time : 0.049 s
% 7.80/2.43 # Maximum resident set size: 7128 pages
% 7.80/2.43
%------------------------------------------------------------------------------