TSTP Solution File: SET663+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 5.21s 2.23s
% Output : CNFRefutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 14 unt; 0 nHn; 29 RR)
% Number of literals : 66 ( 10 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
( subset(domain_of(X1),X2)
| ~ 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-j_9h61fu/lgb.p',i_0_5) ).
cnf(i_0_60,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j_9h61fu/lgb.p',i_0_60) ).
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-j_9h61fu/lgb.p',i_0_9) ).
cnf(i_0_1,plain,
( X1 = empty_set
| ~ ilf_type(X1,set_type)
| ~ subset(X1,empty_set) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j_9h61fu/lgb.p',i_0_1) ).
cnf(i_0_62,negated_conjecture,
ilf_type(esk15_0,relation_type(empty_set,esk14_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j_9h61fu/lgb.p',i_0_62) ).
cnf(i_0_55,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-j_9h61fu/lgb.p',i_0_55) ).
cnf(i_0_63,negated_conjecture,
ilf_type(esk15_0,relation_type(esk13_0,esk14_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j_9h61fu/lgb.p',i_0_63) ).
cnf(i_0_22,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j_9h61fu/lgb.p',i_0_22) ).
cnf(i_0_3,plain,
( X1 = empty_set
| domain_of(X1) != empty_set
| ~ ilf_type(X1,binary_relation_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j_9h61fu/lgb.p',i_0_3) ).
cnf(i_0_61,negated_conjecture,
esk15_0 != empty_set,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j_9h61fu/lgb.p',i_0_61) ).
cnf(c_0_74,plain,
( subset(domain_of(X1),X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
i_0_5 ).
cnf(c_0_75,plain,
ilf_type(X1,set_type),
i_0_60 ).
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_9 ).
cnf(c_0_77,plain,
( X1 = empty_set
| ~ ilf_type(X1,set_type)
| ~ subset(X1,empty_set) ),
i_0_1 ).
cnf(c_0_78,plain,
( subset(domain_of(X1),X2)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_75])]) ).
cnf(c_0_79,negated_conjecture,
ilf_type(esk15_0,relation_type(empty_set,esk14_0)),
i_0_62 ).
cnf(c_0_80,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_55 ).
cnf(c_0_81,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_75]),c_0_75])]) ).
cnf(c_0_82,negated_conjecture,
ilf_type(esk15_0,relation_type(esk13_0,esk14_0)),
i_0_63 ).
cnf(c_0_83,plain,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_75])]) ).
cnf(c_0_84,negated_conjecture,
subset(domain_of(esk15_0),empty_set),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_22 ).
cnf(c_0_86,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_80,c_0_75]),c_0_75])]) ).
cnf(c_0_87,negated_conjecture,
ilf_type(esk15_0,subset_type(cross_product(esk13_0,esk14_0))),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
( X1 = empty_set
| domain_of(X1) != empty_set
| ~ ilf_type(X1,binary_relation_type) ),
i_0_3 ).
cnf(c_0_89,plain,
domain_of(esk15_0) = empty_set,
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
esk15_0 != empty_set,
i_0_61 ).
cnf(c_0_91,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_75])]) ).
cnf(c_0_92,plain,
relation_like(esk15_0),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,plain,
~ ilf_type(esk15_0,binary_relation_type),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_94,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 09:44:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 5.21/2.23 # ENIGMATIC: Solved by autoschedule-lgb:
% 5.21/2.23 # No SInE strategy applied
% 5.21/2.23 # Trying AutoSched0 for 150 seconds
% 5.21/2.23 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 5.21/2.23 # and selection function SelectNewComplexAHPNS.
% 5.21/2.23 #
% 5.21/2.23 # Preprocessing time : 0.023 s
% 5.21/2.23
% 5.21/2.23 # Proof found!
% 5.21/2.23 # SZS status Theorem
% 5.21/2.23 # SZS output start CNFRefutation
% See solution above
% 5.21/2.23 # Training examples: 0 positive, 0 negative
% 5.21/2.23
% 5.21/2.23 # -------------------------------------------------
% 5.21/2.23 # User time : 0.023 s
% 5.21/2.23 # System time : 0.005 s
% 5.21/2.23 # Total time : 0.028 s
% 5.21/2.23 # Maximum resident set size: 7128 pages
% 5.21/2.23
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