TSTP Solution File: SET665+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET665+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 00:13:17 EDT 2022
% Result : Theorem 8.34s 2.49s
% Output : CNFRefutation 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 43 ( 12 unt; 2 nHn; 38 RR)
% Number of literals : 117 ( 4 equ; 77 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
( ilf_type(identity_relation_of(X1),binary_relation_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_23) ).
cnf(i_0_61,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_61) ).
cnf(i_0_47,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/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_47) ).
cnf(i_0_33,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/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_33) ).
cnf(i_0_62,negated_conjecture,
~ subset(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_62) ).
cnf(i_0_2,plain,
( subset(X1,X2)
| member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_2) ).
cnf(i_0_29,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_29) ).
cnf(i_0_12,plain,
( ilf_type(cross_product(X1,X2),relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_12) ).
cnf(i_0_7,plain,
( X1 = X2
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_7) ).
cnf(i_0_1,plain,
( subset(X1,X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_1) ).
cnf(i_0_8,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X3),identity_relation_of(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bhuupp8t/lgb.p',i_0_8) ).
cnf(i_0_9,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(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-bhuupp8t/lgb.p',i_0_9) ).
cnf(c_0_75,plain,
( ilf_type(identity_relation_of(X1),binary_relation_type)
| ~ ilf_type(X1,set_type) ),
i_0_23 ).
cnf(c_0_76,plain,
ilf_type(X1,set_type),
i_0_61 ).
cnf(c_0_77,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_47 ).
cnf(c_0_78,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_33 ).
cnf(c_0_79,negated_conjecture,
~ subset(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),
i_0_62 ).
cnf(c_0_80,plain,
( subset(X1,X2)
| member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type) ),
i_0_2 ).
cnf(c_0_81,plain,
ilf_type(identity_relation_of(X1),binary_relation_type),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]) ).
cnf(c_0_82,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_29 ).
cnf(c_0_83,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_77,c_0_76]),c_0_76])]) ).
cnf(c_0_84,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_78,c_0_76]),c_0_76])]) ).
cnf(c_0_85,plain,
( ilf_type(cross_product(X1,X2),relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_12 ).
cnf(c_0_86,negated_conjecture,
( member(ordered_pair(esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk2_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))),identity_relation_of(esk15_0))
| ~ ilf_type(cross_product(esk15_0,esk15_0),binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).
cnf(c_0_87,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_76])]) ).
cnf(c_0_88,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,plain,
ilf_type(cross_product(X1,X2),relation_type(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_76]),c_0_76])]) ).
cnf(c_0_90,plain,
( X1 = X2
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X3)) ),
i_0_7 ).
cnf(c_0_91,plain,
( member(ordered_pair(esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk2_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))),identity_relation_of(esk15_0))
| ~ relation_like(cross_product(esk15_0,esk15_0)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,plain,
relation_like(cross_product(X1,X2)),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_93,plain,
( subset(X1,X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2) ),
i_0_1 ).
cnf(c_0_94,plain,
( X1 = X2
| ~ member(ordered_pair(X1,X2),identity_relation_of(X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_76]),c_0_76]),c_0_76])]) ).
cnf(c_0_95,plain,
member(ordered_pair(esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk2_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))),identity_relation_of(esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_96,negated_conjecture,
( ~ member(ordered_pair(esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk2_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))),cross_product(esk15_0,esk15_0))
| ~ ilf_type(cross_product(esk15_0,esk15_0),binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_93]),c_0_81])]) ).
cnf(c_0_97,plain,
esk2_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)) = esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_98,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X3),identity_relation_of(X2)) ),
i_0_8 ).
cnf(c_0_99,negated_conjecture,
( ~ member(ordered_pair(esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))),cross_product(esk15_0,esk15_0))
| ~ ilf_type(cross_product(esk15_0,esk15_0),binary_relation_type) ),
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_9 ).
cnf(c_0_101,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X3),identity_relation_of(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_76]),c_0_76]),c_0_76])]) ).
cnf(c_0_102,plain,
~ member(ordered_pair(esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))),cross_product(esk15_0,esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_87]),c_0_92])]) ).
cnf(c_0_103,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_76]),c_0_76]),c_0_76]),c_0_76])]) ).
cnf(c_0_104,plain,
member(esk1_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk15_0),
inference(spm,[status(thm)],[c_0_101,c_0_95]) ).
cnf(c_0_105,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SET665+3 : TPTP v8.1.0. Released v2.2.0.
% 0.05/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 02:30:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 8.34/2.49 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.34/2.49 # No SInE strategy applied
% 8.34/2.49 # Trying AutoSched0 for 150 seconds
% 8.34/2.49 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 8.34/2.49 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.34/2.49 #
% 8.34/2.49 # Preprocessing time : 0.014 s
% 8.34/2.49 # Presaturation interreduction done
% 8.34/2.49
% 8.34/2.49 # Proof found!
% 8.34/2.49 # SZS status Theorem
% 8.34/2.49 # SZS output start CNFRefutation
% See solution above
% 8.34/2.50 # Training examples: 0 positive, 0 negative
% 8.34/2.50
% 8.34/2.50 # -------------------------------------------------
% 8.34/2.50 # User time : 0.022 s
% 8.34/2.50 # System time : 0.004 s
% 8.34/2.50 # Total time : 0.026 s
% 8.34/2.50 # Maximum resident set size: 7128 pages
% 8.34/2.50
%------------------------------------------------------------------------------