TSTP Solution File: SET642+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 00:13:07 EDT 2022
% Result : Theorem 4.56s 2.22s
% Output : CNFRefutation 4.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 40 ( 0 equ; 25 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,X4)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nsuyp1wq/lgb.p',i_0_1) ).
cnf(i_0_36,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nsuyp1wq/lgb.p',i_0_36) ).
cnf(i_0_2,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X1,cross_product(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nsuyp1wq/lgb.p',i_0_2) ).
cnf(i_0_38,negated_conjecture,
subset(esk10_0,esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nsuyp1wq/lgb.p',i_0_38) ).
cnf(i_0_39,negated_conjecture,
ilf_type(esk13_0,relation_type(esk11_0,esk12_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nsuyp1wq/lgb.p',i_0_39) ).
cnf(i_0_37,negated_conjecture,
~ ilf_type(esk10_0,relation_type(esk11_0,esk12_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nsuyp1wq/lgb.p',i_0_37) ).
cnf(c_0_46,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,X4)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
i_0_1 ).
cnf(c_0_47,plain,
ilf_type(X1,set_type),
i_0_36 ).
cnf(c_0_48,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X1,cross_product(X2,X3)) ),
i_0_2 ).
cnf(c_0_49,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47]),c_0_47]),c_0_47])]) ).
cnf(c_0_50,negated_conjecture,
subset(esk10_0,esk13_0),
i_0_38 ).
cnf(c_0_51,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ subset(X1,cross_product(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_47]),c_0_47]),c_0_47])]) ).
cnf(c_0_52,negated_conjecture,
( subset(esk10_0,cross_product(X1,X2))
| ~ ilf_type(esk13_0,relation_type(X1,X2)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
( ilf_type(esk10_0,relation_type(X1,X2))
| ~ ilf_type(esk13_0,relation_type(X1,X2)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,negated_conjecture,
ilf_type(esk13_0,relation_type(esk11_0,esk12_0)),
i_0_39 ).
cnf(c_0_55,negated_conjecture,
~ ilf_type(esk10_0,relation_type(esk11_0,esk12_0)),
i_0_37 ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n018.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 : Sun Jul 10 09:10:44 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 4.56/2.22 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.56/2.22 # No SInE strategy applied
% 4.56/2.22 # Trying AutoSched0 for 150 seconds
% 4.56/2.22 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 4.56/2.22 # and selection function SelectMaxLComplexAvoidPosPred.
% 4.56/2.22 #
% 4.56/2.22 # Preprocessing time : 0.021 s
% 4.56/2.22 # Presaturation interreduction done
% 4.56/2.22
% 4.56/2.22 # Proof found!
% 4.56/2.22 # SZS status Theorem
% 4.56/2.22 # SZS output start CNFRefutation
% See solution above
% 4.56/2.22 # Training examples: 0 positive, 0 negative
% 4.56/2.22
% 4.56/2.22 # -------------------------------------------------
% 4.56/2.22 # User time : 0.023 s
% 4.56/2.22 # System time : 0.006 s
% 4.56/2.22 # Total time : 0.028 s
% 4.56/2.22 # Maximum resident set size: 7124 pages
% 4.56/2.22
%------------------------------------------------------------------------------