TSTP Solution File: SET680+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET680+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 00:13:24 EDT 2022
% Result : Theorem 7.18s 2.36s
% Output : CNFRefutation 7.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 57 ( 12 unt; 12 nHn; 55 RR)
% Number of literals : 153 ( 4 equ; 90 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 84 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,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-ebmpqekl/lgb.p',i_0_11) ).
cnf(i_0_56,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_56) ).
cnf(i_0_51,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-ebmpqekl/lgb.p',i_0_51) ).
cnf(i_0_61,negated_conjecture,
ilf_type(esk14_0,relation_type(esk12_0,esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_61) ).
cnf(i_0_26,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_26) ).
cnf(i_0_52,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-ebmpqekl/lgb.p',i_0_52) ).
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/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_2) ).
cnf(i_0_6,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/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_6) ).
cnf(i_0_19,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_19) ).
cnf(i_0_57,negated_conjecture,
( member(ordered_pair(esk15_0,esk16_0),esk14_0)
| member(esk15_0,domain(esk12_0,esk13_0,esk14_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_57) ).
cnf(i_0_14,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/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_14) ).
cnf(i_0_5,plain,
( member(X1,domain_of(X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_5) ).
cnf(i_0_59,negated_conjecture,
( ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(esk15_0,X1),esk14_0)
| ~ member(esk15_0,domain(esk12_0,esk13_0,esk14_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_59) ).
cnf(i_0_58,negated_conjecture,
( ilf_type(esk16_0,member_type(esk13_0))
| member(esk15_0,domain(esk12_0,esk13_0,esk14_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ebmpqekl/lgb.p',i_0_58) ).
cnf(c_0_76,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_11 ).
cnf(c_0_77,plain,
ilf_type(X1,set_type),
i_0_56 ).
cnf(c_0_78,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_51 ).
cnf(c_0_79,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_76,c_0_77]),c_0_77])]) ).
cnf(c_0_80,negated_conjecture,
ilf_type(esk14_0,relation_type(esk12_0,esk13_0)),
i_0_61 ).
cnf(c_0_81,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_26 ).
cnf(c_0_82,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_78,c_0_77]),c_0_77])]) ).
cnf(c_0_83,negated_conjecture,
ilf_type(esk14_0,subset_type(cross_product(esk12_0,esk13_0))),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,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_52 ).
cnf(c_0_85,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_86,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_77])]) ).
cnf(c_0_87,plain,
relation_like(esk14_0),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,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_84,c_0_77]),c_0_77])]) ).
cnf(c_0_89,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_6 ).
cnf(c_0_90,plain,
( member(ordered_pair(X1,esk1_2(X1,X2)),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,domain_of(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_77])]) ).
cnf(c_0_91,plain,
ilf_type(esk14_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
domain_of(esk14_0) = domain(esk12_0,esk13_0,esk14_0),
inference(spm,[status(thm)],[c_0_88,c_0_80]) ).
cnf(c_0_93,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_19 ).
cnf(c_0_94,plain,
( member(X1,X2)
| ~ ilf_type(X3,relation_type(X4,X2))
| ~ member(ordered_pair(X5,X1),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_77]),c_0_77]),c_0_77]),c_0_77])]) ).
cnf(c_0_95,plain,
( member(ordered_pair(X1,esk1_2(X1,esk14_0)),esk14_0)
| ~ member(X1,domain(esk12_0,esk13_0,esk14_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_96,negated_conjecture,
( member(ordered_pair(esk15_0,esk16_0),esk14_0)
| member(esk15_0,domain(esk12_0,esk13_0,esk14_0)) ),
i_0_57 ).
cnf(c_0_97,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_14 ).
cnf(c_0_98,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_77]),c_0_77])]) ).
cnf(c_0_99,negated_conjecture,
( member(X1,esk13_0)
| ~ member(ordered_pair(X2,X1),esk14_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_80]) ).
cnf(c_0_100,negated_conjecture,
( member(ordered_pair(esk15_0,esk1_2(esk15_0,esk14_0)),esk14_0)
| member(ordered_pair(esk15_0,esk16_0),esk14_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( member(X1,domain_of(X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X3),X2) ),
i_0_5 ).
cnf(c_0_102,negated_conjecture,
( ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(esk15_0,X1),esk14_0)
| ~ member(esk15_0,domain(esk12_0,esk13_0,esk14_0)) ),
i_0_59 ).
cnf(c_0_103,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_97,c_0_77]),c_0_77])]),c_0_98]) ).
cnf(c_0_104,negated_conjecture,
( member(ordered_pair(esk15_0,esk16_0),esk14_0)
| member(esk1_2(esk15_0,esk14_0),esk13_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( ilf_type(esk16_0,member_type(esk13_0))
| member(esk15_0,domain(esk12_0,esk13_0,esk14_0)) ),
i_0_58 ).
cnf(c_0_106,plain,
( member(X1,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X1,X3),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_77]),c_0_77])]) ).
cnf(c_0_107,negated_conjecture,
( member(ordered_pair(esk15_0,esk16_0),esk14_0)
| ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(esk15_0,X1),esk14_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_96]) ).
cnf(c_0_108,plain,
( ilf_type(esk1_2(esk15_0,esk14_0),member_type(esk13_0))
| member(ordered_pair(esk15_0,esk16_0),esk14_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,negated_conjecture,
( ilf_type(esk16_0,member_type(esk13_0))
| member(ordered_pair(esk15_0,esk1_2(esk15_0,esk14_0)),esk14_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_105]) ).
cnf(c_0_110,plain,
( member(X1,domain(esk12_0,esk13_0,esk14_0))
| ~ member(ordered_pair(X1,X2),esk14_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_91]),c_0_92]) ).
cnf(c_0_111,negated_conjecture,
member(ordered_pair(esk15_0,esk16_0),esk14_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_100]) ).
cnf(c_0_112,negated_conjecture,
( ilf_type(esk16_0,member_type(esk13_0))
| member(esk1_2(esk15_0,esk14_0),esk13_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_109]) ).
cnf(c_0_113,plain,
member(esk15_0,domain(esk12_0,esk13_0,esk14_0)),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_114,negated_conjecture,
( ilf_type(esk16_0,member_type(esk13_0))
| ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(esk15_0,X1),esk14_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_105]) ).
cnf(c_0_115,plain,
( ilf_type(esk1_2(esk15_0,esk14_0),member_type(esk13_0))
| ilf_type(esk16_0,member_type(esk13_0)) ),
inference(spm,[status(thm)],[c_0_103,c_0_112]) ).
cnf(c_0_116,negated_conjecture,
( ~ ilf_type(X1,member_type(esk13_0))
| ~ member(ordered_pair(esk15_0,X1),esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_113])]) ).
cnf(c_0_117,negated_conjecture,
ilf_type(esk16_0,member_type(esk13_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_109]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_111])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET680+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jul 9 23:05:24 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.18/2.36 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.18/2.36 # No SInE strategy applied
% 7.18/2.36 # Trying AutoSched0 for 150 seconds
% 7.18/2.36 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 7.18/2.36 # and selection function SelectNewComplexAHPNS.
% 7.18/2.36 #
% 7.18/2.36 # Preprocessing time : 0.024 s
% 7.18/2.36
% 7.18/2.36 # Proof found!
% 7.18/2.36 # SZS status Theorem
% 7.18/2.36 # SZS output start CNFRefutation
% See solution above
% 7.18/2.36 # Training examples: 0 positive, 0 negative
% 7.18/2.36
% 7.18/2.36 # -------------------------------------------------
% 7.18/2.36 # User time : 0.029 s
% 7.18/2.36 # System time : 0.004 s
% 7.18/2.36 # Total time : 0.033 s
% 7.18/2.36 # Maximum resident set size: 7124 pages
% 7.18/2.36
%------------------------------------------------------------------------------