TSTP Solution File: SEU291+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU291+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 08:40:28 EDT 2022
% Result : Theorem 8.35s 2.77s
% Output : CNFRefutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of clauses : 59 ( 28 unt; 6 nHn; 55 RR)
% Number of literals : 104 ( 38 equ; 44 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 61 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1191,lemma,
( relation_of2_as_subset(X1,X2,X3)
| ~ subset(X4,X3)
| ~ relation_of2_as_subset(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1191) ).
cnf(i_0_1405,negated_conjecture,
relation_of2_as_subset(esk255_0,esk252_0,esk253_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1405) ).
cnf(i_0_1404,negated_conjecture,
subset(esk253_0,esk254_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1404) ).
cnf(i_0_482,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_482) ).
cnf(i_0_1402,negated_conjecture,
( ~ function(esk255_0)
| ~ relation_of2_as_subset(esk255_0,esk252_0,esk254_0)
| ~ quasi_total(esk255_0,esk252_0,esk254_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1402) ).
cnf(i_0_1407,negated_conjecture,
function(esk255_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1407) ).
cnf(i_0_476,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_476) ).
cnf(i_0_1167,lemma,
( subset(relation_dom(X1),X2)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1167) ).
cnf(i_0_80,plain,
( X1 = empty_set
| quasi_total(X2,X3,X1)
| relation_dom_as_subset(X3,X1,X2) != X3
| ~ relation_of2_as_subset(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_80) ).
cnf(i_0_81,plain,
( X1 = empty_set
| relation_dom_as_subset(X2,X1,X3) = X2
| ~ relation_of2_as_subset(X3,X2,X1)
| ~ quasi_total(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_81) ).
cnf(i_0_1406,negated_conjecture,
quasi_total(esk255_0,esk252_0,esk253_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1406) ).
cnf(i_0_1168,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1168) ).
cnf(i_0_16,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_16) ).
cnf(i_0_402,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_402) ).
cnf(i_0_361,plain,
( empty(X1)
| ~ empty(set_union2(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_361) ).
cnf(i_0_1287,plain,
set_difference(X1,empty_set) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1287) ).
cnf(i_0_1389,plain,
( X1 = X2
| ~ empty(X2)
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1389) ).
cnf(i_0_1403,negated_conjecture,
( esk252_0 = empty_set
| esk253_0 != empty_set ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_1403) ).
cnf(i_0_368,plain,
empty(empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f9ahaej6/lgb.p',i_0_368) ).
cnf(c_0_1427,lemma,
( relation_of2_as_subset(X1,X2,X3)
| ~ subset(X4,X3)
| ~ relation_of2_as_subset(X1,X2,X4) ),
i_0_1191 ).
cnf(c_0_1428,negated_conjecture,
relation_of2_as_subset(esk255_0,esk252_0,esk253_0),
i_0_1405 ).
cnf(c_0_1429,negated_conjecture,
( relation_of2_as_subset(esk255_0,esk252_0,X1)
| ~ subset(esk253_0,X1) ),
inference(spm,[status(thm)],[c_0_1427,c_0_1428]) ).
cnf(c_0_1430,negated_conjecture,
subset(esk253_0,esk254_0),
i_0_1404 ).
cnf(c_0_1431,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_482 ).
cnf(c_0_1432,negated_conjecture,
relation_of2_as_subset(esk255_0,esk252_0,esk254_0),
inference(spm,[status(thm)],[c_0_1429,c_0_1430]) ).
cnf(c_0_1433,negated_conjecture,
( ~ function(esk255_0)
| ~ relation_of2_as_subset(esk255_0,esk252_0,esk254_0)
| ~ quasi_total(esk255_0,esk252_0,esk254_0) ),
i_0_1402 ).
cnf(c_0_1434,negated_conjecture,
function(esk255_0),
i_0_1407 ).
cnf(c_0_1435,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
i_0_476 ).
cnf(c_0_1436,plain,
relation_of2(esk255_0,esk252_0,esk254_0),
inference(spm,[status(thm)],[c_0_1431,c_0_1432]) ).
cnf(c_0_1437,negated_conjecture,
( ~ relation_of2_as_subset(esk255_0,esk252_0,esk254_0)
| ~ quasi_total(esk255_0,esk252_0,esk254_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1433,c_0_1434])]) ).
cnf(c_0_1438,negated_conjecture,
relation_of2(esk255_0,esk252_0,esk253_0),
inference(spm,[status(thm)],[c_0_1431,c_0_1428]) ).
cnf(c_0_1439,lemma,
( subset(relation_dom(X1),X2)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_1167 ).
cnf(c_0_1440,plain,
( X1 = empty_set
| quasi_total(X2,X3,X1)
| relation_dom_as_subset(X3,X1,X2) != X3
| ~ relation_of2_as_subset(X2,X3,X1) ),
i_0_80 ).
cnf(c_0_1441,plain,
relation_dom_as_subset(esk252_0,esk254_0,esk255_0) = relation_dom(esk255_0),
inference(spm,[status(thm)],[c_0_1435,c_0_1436]) ).
cnf(c_0_1442,negated_conjecture,
~ quasi_total(esk255_0,esk252_0,esk254_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1437,c_0_1432])]) ).
cnf(c_0_1443,plain,
( X1 = empty_set
| relation_dom_as_subset(X2,X1,X3) = X2
| ~ relation_of2_as_subset(X3,X2,X1)
| ~ quasi_total(X3,X2,X1) ),
i_0_81 ).
cnf(c_0_1444,negated_conjecture,
quasi_total(esk255_0,esk252_0,esk253_0),
i_0_1406 ).
cnf(c_0_1445,negated_conjecture,
relation_dom_as_subset(esk252_0,esk253_0,esk255_0) = relation_dom(esk255_0),
inference(spm,[status(thm)],[c_0_1435,c_0_1438]) ).
cnf(c_0_1446,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
i_0_1168 ).
cnf(c_0_1447,negated_conjecture,
subset(relation_dom(esk255_0),esk252_0),
inference(spm,[status(thm)],[c_0_1439,c_0_1428]) ).
cnf(c_0_1448,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_16 ).
cnf(c_0_1449,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
i_0_402 ).
cnf(c_0_1450,plain,
( esk254_0 = empty_set
| relation_dom(esk255_0) != esk252_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1440,c_0_1441]),c_0_1432])]),c_0_1442]) ).
cnf(c_0_1451,negated_conjecture,
( relation_dom(esk255_0) = esk252_0
| esk253_0 = empty_set ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1443,c_0_1444]),c_0_1445]),c_0_1428])]) ).
cnf(c_0_1452,plain,
( empty(X1)
| ~ empty(set_union2(X2,X1)) ),
i_0_361 ).
cnf(c_0_1453,lemma,
set_union2(esk252_0,relation_dom(esk255_0)) = esk252_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1446,c_0_1447]),c_0_1448]) ).
cnf(c_0_1454,negated_conjecture,
set_difference(esk253_0,esk254_0) = empty_set,
inference(spm,[status(thm)],[c_0_1449,c_0_1430]) ).
cnf(c_0_1455,plain,
( esk253_0 = empty_set
| esk254_0 = empty_set ),
inference(spm,[status(thm)],[c_0_1450,c_0_1451]) ).
cnf(c_0_1456,plain,
set_difference(X1,empty_set) = X1,
i_0_1287 ).
cnf(c_0_1457,plain,
( X1 = X2
| ~ empty(X2)
| ~ empty(X1) ),
i_0_1389 ).
cnf(c_0_1458,plain,
( empty(relation_dom(esk255_0))
| ~ empty(esk252_0) ),
inference(spm,[status(thm)],[c_0_1452,c_0_1453]) ).
cnf(c_0_1459,negated_conjecture,
( esk252_0 = empty_set
| esk253_0 != empty_set ),
i_0_1403 ).
cnf(c_0_1460,negated_conjecture,
esk253_0 = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1454,c_0_1455]),c_0_1456])]) ).
cnf(c_0_1461,plain,
( esk254_0 = empty_set
| ~ empty(esk252_0) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_1450,c_0_1457])]),c_0_1458]) ).
cnf(c_0_1462,negated_conjecture,
esk252_0 = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1459,c_0_1460])]) ).
cnf(c_0_1463,plain,
empty(empty_set),
i_0_368 ).
cnf(c_0_1464,plain,
esk254_0 = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1461,c_0_1462]),c_0_1463])]) ).
cnf(c_0_1465,negated_conjecture,
~ quasi_total(esk255_0,empty_set,empty_set),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1442,c_0_1462]),c_0_1464]) ).
cnf(c_0_1466,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1444,c_0_1460]),c_0_1462]),c_0_1465]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU291+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n022.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 Jun 20 10:28:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.35/2.77 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.35/2.77 # No SInE strategy applied
% 8.35/2.77 # Trying AutoSched0 for 150 seconds
% 8.35/2.77 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 8.35/2.77 # and selection function SelectCQIPrecWNTNp.
% 8.35/2.77 #
% 8.35/2.77 # Preprocessing time : 0.022 s
% 8.35/2.77 # Presaturation interreduction done
% 8.35/2.77
% 8.35/2.77 # Proof found!
% 8.35/2.77 # SZS status Theorem
% 8.35/2.77 # SZS output start CNFRefutation
% See solution above
% 8.35/2.77 # Training examples: 0 positive, 0 negative
% 8.35/2.77
% 8.35/2.77 # -------------------------------------------------
% 8.35/2.77 # User time : 0.072 s
% 8.35/2.77 # System time : 0.008 s
% 8.35/2.77 # Total time : 0.079 s
% 8.35/2.77 # Maximum resident set size: 7124 pages
% 8.35/2.77
%------------------------------------------------------------------------------