TSTP Solution File: SEU293+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU293+2 : TPTP v8.1.0. Released v3.3.0.
% 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 08:40:29 EDT 2022
% Result : Theorem 9.96s 2.95s
% Output : CNFRefutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of clauses : 53 ( 16 unt; 7 nHn; 51 RR)
% Number of literals : 118 ( 17 equ; 64 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 82 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1167,lemma,
( subset(relation_dom(X1),X2)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_1167) ).
cnf(i_0_1314,negated_conjecture,
relation_of2_as_subset(esk246_0,esk243_0,esk244_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_1314) ).
cnf(i_0_54,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_54) ).
cnf(i_0_7,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_7) ).
cnf(i_0_320,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_320) ).
cnf(i_0_175,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_175) ).
cnf(i_0_1190,lemma,
( subset(relation_inverse_image(X1,X2),relation_dom(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_1190) ).
cnf(i_0_1310,negated_conjecture,
( in(esk247_0,relation_inverse_image(esk246_0,esk245_0))
| in(apply(esk246_0,esk247_0),esk245_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_1310) ).
cnf(i_0_1316,negated_conjecture,
function(esk246_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_1316) ).
cnf(i_0_1311,negated_conjecture,
( in(esk247_0,esk243_0)
| in(esk247_0,relation_inverse_image(esk246_0,esk245_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_1311) ).
cnf(i_0_476,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_476) ).
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/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_81) ).
cnf(i_0_481,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_481) ).
cnf(i_0_53,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_53) ).
cnf(i_0_1312,negated_conjecture,
( ~ in(esk247_0,esk243_0)
| ~ in(esk247_0,relation_inverse_image(esk246_0,esk245_0))
| ~ in(apply(esk246_0,esk247_0),esk245_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_1312) ).
cnf(i_0_1315,negated_conjecture,
quasi_total(esk246_0,esk243_0,esk244_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_1315) ).
cnf(i_0_1313,negated_conjecture,
esk244_0 != empty_set,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_1313) ).
cnf(i_0_482,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-stcfk4i1/lgb.p',i_0_482) ).
cnf(c_0_1335,lemma,
( subset(relation_dom(X1),X2)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_1167 ).
cnf(c_0_1336,negated_conjecture,
relation_of2_as_subset(esk246_0,esk243_0,esk244_0),
i_0_1314 ).
cnf(c_0_1337,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
i_0_54 ).
cnf(c_0_1338,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_7 ).
cnf(c_0_1339,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_320 ).
cnf(c_0_1340,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_175 ).
cnf(c_0_1341,lemma,
( subset(relation_inverse_image(X1,X2),relation_dom(X1))
| ~ relation(X1) ),
i_0_1190 ).
cnf(c_0_1342,negated_conjecture,
subset(relation_dom(esk246_0),esk243_0),
inference(spm,[status(thm)],[c_0_1335,c_0_1336]) ).
cnf(c_0_1343,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_1337]) ).
cnf(c_0_1344,negated_conjecture,
( in(esk247_0,relation_inverse_image(esk246_0,esk245_0))
| in(apply(esk246_0,esk247_0),esk245_0) ),
i_0_1310 ).
cnf(c_0_1345,negated_conjecture,
function(esk246_0),
i_0_1316 ).
cnf(c_0_1346,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_1338,c_0_1339]) ).
cnf(c_0_1347,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(spm,[status(thm)],[c_0_1340,c_0_1341]) ).
cnf(c_0_1348,negated_conjecture,
( in(esk247_0,esk243_0)
| in(esk247_0,relation_inverse_image(esk246_0,esk245_0)) ),
i_0_1311 ).
cnf(c_0_1349,plain,
( in(X1,esk243_0)
| ~ in(X1,relation_dom(esk246_0)) ),
inference(spm,[status(thm)],[c_0_1340,c_0_1342]) ).
cnf(c_0_1350,negated_conjecture,
( in(apply(esk246_0,esk247_0),esk245_0)
| ~ relation(esk246_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1343,c_0_1344]),c_0_1345])]) ).
cnf(c_0_1351,negated_conjecture,
relation(esk246_0),
inference(spm,[status(thm)],[c_0_1346,c_0_1336]) ).
cnf(c_0_1352,negated_conjecture,
( in(esk247_0,esk243_0)
| ~ relation(esk246_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1347,c_0_1348]),c_0_1349]) ).
cnf(c_0_1353,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
i_0_476 ).
cnf(c_0_1354,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_1355,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
i_0_481 ).
cnf(c_0_1356,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),X4) ),
i_0_53 ).
cnf(c_0_1357,negated_conjecture,
in(apply(esk246_0,esk247_0),esk245_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1350,c_0_1351])]) ).
cnf(c_0_1358,negated_conjecture,
( ~ in(esk247_0,esk243_0)
| ~ in(esk247_0,relation_inverse_image(esk246_0,esk245_0))
| ~ in(apply(esk246_0,esk247_0),esk245_0) ),
i_0_1312 ).
cnf(c_0_1359,negated_conjecture,
in(esk247_0,esk243_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1352,c_0_1351])]) ).
cnf(c_0_1360,plain,
( X1 = relation_dom(X2)
| X3 = empty_set
| ~ relation_of2(X2,X1,X3)
| ~ quasi_total(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1353,c_0_1354]),c_0_1355]) ).
cnf(c_0_1361,negated_conjecture,
quasi_total(esk246_0,esk243_0,esk244_0),
i_0_1315 ).
cnf(c_0_1362,negated_conjecture,
esk244_0 != empty_set,
i_0_1313 ).
cnf(c_0_1363,plain,
( in(esk247_0,X1)
| X1 != relation_inverse_image(esk246_0,esk245_0)
| ~ in(esk247_0,relation_dom(esk246_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1356,c_0_1357]),c_0_1351]),c_0_1345])]) ).
cnf(c_0_1364,negated_conjecture,
~ in(esk247_0,relation_inverse_image(esk246_0,esk245_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1358,c_0_1359])]),c_0_1357])]) ).
cnf(c_0_1365,negated_conjecture,
( relation_dom(esk246_0) = esk243_0
| ~ relation_of2(esk246_0,esk243_0,esk244_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1360,c_0_1361]),c_0_1362]) ).
cnf(c_0_1366,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_482 ).
cnf(c_0_1367,plain,
~ in(esk247_0,relation_dom(esk246_0)),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_1363]),c_0_1364]) ).
cnf(c_0_1368,plain,
relation_dom(esk246_0) = esk243_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1365,c_0_1366]),c_0_1336])]) ).
cnf(c_0_1369,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1367,c_0_1368]),c_0_1359])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU293+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % 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 : Mon Jun 20 06:43:10 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.96/2.95 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.96/2.95 # No SInE strategy applied
% 9.96/2.95 # Trying AutoSched0 for 150 seconds
% 9.96/2.95 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 9.96/2.95 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.96/2.95 #
% 9.96/2.95 # Preprocessing time : 0.017 s
% 9.96/2.95
% 9.96/2.95 # Proof found!
% 9.96/2.95 # SZS status Theorem
% 9.96/2.95 # SZS output start CNFRefutation
% See solution above
% 9.96/2.95 # Training examples: 0 positive, 0 negative
% 9.96/2.95
% 9.96/2.95 # -------------------------------------------------
% 9.96/2.95 # User time : 0.171 s
% 9.96/2.95 # System time : 0.005 s
% 9.96/2.95 # Total time : 0.176 s
% 9.96/2.95 # Maximum resident set size: 7128 pages
% 9.96/2.95
%------------------------------------------------------------------------------