TSTP Solution File: SEU216+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU216+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:39:39 EDT 2022
% Result : Theorem 20.90s 4.07s
% Output : CNFRefutation 20.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of clauses : 73 ( 17 unt; 22 nHn; 53 RR)
% Number of literals : 216 ( 90 equ; 113 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 121 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_295,lemma,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_295) ).
cnf(i_0_5,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_5) ).
cnf(i_0_8,plain,
( X1 = identity_relation(X2)
| esk1_2(X2,X1) = esk2_2(X2,X1)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_8) ).
cnf(i_0_392,lemma,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_392) ).
cnf(i_0_378,lemma,
relation_dom(identity_relation(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_378) ).
cnf(i_0_317,negated_conjecture,
( identity_relation(esk66_0) = esk67_0
| relation_dom(esk67_0) = esk66_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_317) ).
cnf(i_0_13,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_13) ).
cnf(i_0_391,lemma,
( in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
| X2 != apply(X3,X1)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_391) ).
cnf(i_0_9,plain,
( X1 = identity_relation(X2)
| in(esk1_2(X2,X1),X2)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_9) ).
cnf(i_0_321,negated_conjecture,
relation(esk67_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_321) ).
cnf(i_0_12,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_12) ).
cnf(i_0_109,plain,
( in(unordered_pair(unordered_pair(X1,esk35_3(X2,X3,X1)),unordered_pair(X1,X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_109) ).
cnf(i_0_10,plain,
( X1 = identity_relation(X2)
| esk1_2(X2,X1) != esk2_2(X2,X1)
| ~ relation(X1)
| ~ in(esk1_2(X2,X1),X2)
| ~ in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1))),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_10) ).
cnf(i_0_316,negated_conjecture,
( identity_relation(esk66_0) = esk67_0
| apply(esk67_0,X1) = X1
| ~ in(X1,esk66_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_316) ).
cnf(i_0_320,negated_conjecture,
function(esk67_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_320) ).
cnf(i_0_192,plain,
relation(identity_relation(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_192) ).
cnf(i_0_191,plain,
function(identity_relation(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_191) ).
cnf(i_0_318,negated_conjecture,
( identity_relation(esk66_0) != esk67_0
| relation_dom(esk67_0) != esk66_0
| apply(esk67_0,esk68_0) != esk68_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_318) ).
cnf(i_0_319,negated_conjecture,
( in(esk68_0,esk66_0)
| identity_relation(esk66_0) != esk67_0
| relation_dom(esk67_0) != esk66_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dr8zizau/lgb.p',i_0_319) ).
cnf(c_0_412,lemma,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
i_0_295 ).
cnf(c_0_413,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_5 ).
cnf(c_0_414,plain,
( X1 = identity_relation(X2)
| esk1_2(X2,X1) = esk2_2(X2,X1)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
i_0_8 ).
cnf(c_0_415,lemma,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
i_0_392 ).
cnf(c_0_416,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_417,plain,
( esk2_2(X1,X2) = esk1_2(X1,X2)
| X2 = identity_relation(X1)
| in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X2)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_414,c_0_413]) ).
cnf(c_0_418,lemma,
relation_dom(identity_relation(X1)) = X1,
i_0_378 ).
cnf(c_0_419,negated_conjecture,
( identity_relation(esk66_0) = esk67_0
| relation_dom(esk67_0) = esk66_0 ),
i_0_317 ).
cnf(c_0_420,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X3) ),
i_0_13 ).
cnf(c_0_421,lemma,
( in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
| X2 != apply(X3,X1)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3)) ),
i_0_391 ).
cnf(c_0_422,plain,
( X1 = identity_relation(X2)
| in(esk1_2(X2,X1),X2)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
i_0_9 ).
cnf(c_0_423,plain,
( X1 = apply(X2,X3)
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X1)),X2) ),
inference(spm,[status(thm)],[c_0_415,c_0_413]) ).
cnf(c_0_424,plain,
( esk2_2(X1,X2) = esk1_2(X1,X2)
| X2 = identity_relation(X1)
| in(esk1_2(X1,X2),relation_dom(X2))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_416,c_0_417]) ).
cnf(c_0_425,negated_conjecture,
relation_dom(esk67_0) = esk66_0,
inference(spm,[status(thm)],[c_0_418,c_0_419]) ).
cnf(c_0_426,negated_conjecture,
relation(esk67_0),
i_0_321 ).
cnf(c_0_427,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X4)),X3) ),
inference(spm,[status(thm)],[c_0_420,c_0_413]) ).
cnf(c_0_428,lemma,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_421]),c_0_413]) ).
cnf(c_0_429,plain,
( X1 = identity_relation(X2)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)
| in(esk1_2(X2,X1),X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_422,c_0_413]) ).
cnf(c_0_430,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
i_0_12 ).
cnf(c_0_431,plain,
( in(unordered_pair(unordered_pair(X1,esk35_3(X2,X3,X1)),unordered_pair(X1,X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_109 ).
cnf(c_0_432,plain,
( X1 = identity_relation(X2)
| esk1_2(X2,X1) != esk2_2(X2,X1)
| ~ relation(X1)
| ~ in(esk1_2(X2,X1),X2)
| ~ in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1))),X1) ),
i_0_10 ).
cnf(c_0_433,negated_conjecture,
( identity_relation(esk66_0) = esk67_0
| apply(esk67_0,X1) = X1
| ~ in(X1,esk66_0) ),
i_0_316 ).
cnf(c_0_434,plain,
( apply(X1,esk1_2(X2,X1)) = esk2_2(X2,X1)
| esk2_2(X2,X1) = esk1_2(X2,X1)
| X1 = identity_relation(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_423,c_0_417]) ).
cnf(c_0_435,negated_conjecture,
function(esk67_0),
i_0_320 ).
cnf(c_0_436,negated_conjecture,
( esk2_2(X1,esk67_0) = esk1_2(X1,esk67_0)
| identity_relation(X1) = esk67_0
| in(esk1_2(X1,esk67_0),esk66_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_426])]) ).
cnf(c_0_437,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_dom(X3)) ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_438,plain,
relation(identity_relation(X1)),
i_0_192 ).
cnf(c_0_439,plain,
function(identity_relation(X1)),
i_0_191 ).
cnf(c_0_440,plain,
( X1 = identity_relation(X2)
| in(esk1_2(X2,X1),relation_dom(X1))
| in(esk1_2(X2,X1),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_416,c_0_429]) ).
cnf(c_0_441,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X2)),X3) ),
inference(spm,[status(thm)],[c_0_430,c_0_413]) ).
cnf(c_0_442,plain,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk35_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[c_0_431,c_0_413]) ).
cnf(c_0_443,plain,
( X1 = identity_relation(X2)
| esk2_2(X2,X1) != esk1_2(X2,X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)
| ~ in(esk1_2(X2,X1),X2) ),
inference(rw,[status(thm)],[c_0_432,c_0_413]) ).
cnf(c_0_444,negated_conjecture,
( esk2_2(X1,esk67_0) = esk1_2(X1,esk67_0)
| identity_relation(esk66_0) = esk67_0
| identity_relation(X1) = esk67_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_434]),c_0_426]),c_0_435])]),c_0_436]) ).
cnf(c_0_445,lemma,
( in(X1,X2)
| identity_relation(X3) != identity_relation(X2)
| ~ in(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_418]),c_0_438]),c_0_439])]) ).
cnf(c_0_446,negated_conjecture,
( identity_relation(esk66_0) = esk67_0
| in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),esk67_0)
| ~ in(X1,esk66_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_433]),c_0_426]),c_0_435])])]),c_0_425])]) ).
cnf(c_0_447,negated_conjecture,
( identity_relation(X1) = esk67_0
| in(esk1_2(X1,esk67_0),esk66_0)
| in(esk1_2(X1,esk67_0),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_426]),c_0_425]) ).
cnf(c_0_448,plain,
( esk35_3(X1,X2,X3) = X3
| X1 != identity_relation(X4)
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_441,c_0_442]) ).
cnf(c_0_449,plain,
( identity_relation(esk66_0) = esk67_0
| identity_relation(X1) = esk67_0
| ~ in(unordered_pair(unordered_pair(esk1_2(X1,esk67_0),esk1_2(X1,esk67_0)),unordered_pair(esk1_2(X1,esk67_0),esk1_2(X1,esk67_0))),esk67_0)
| ~ in(esk1_2(X1,esk67_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_444]),c_0_426])]) ).
cnf(c_0_450,negated_conjecture,
( identity_relation(esk66_0) = esk67_0
| in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)
| identity_relation(esk67_0) != identity_relation(X2)
| ~ in(X1,esk66_0) ),
inference(spm,[status(thm)],[c_0_445,c_0_446]) ).
cnf(c_0_451,negated_conjecture,
( identity_relation(esk66_0) = esk67_0
| in(esk1_2(esk66_0,esk67_0),esk66_0) ),
inference(ef,[status(thm)],[c_0_447]) ).
cnf(c_0_452,plain,
( esk35_3(identity_relation(X1),X1,X2) = X2
| ~ in(X2,X1) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_448]),c_0_418]),c_0_438])])]) ).
cnf(c_0_453,negated_conjecture,
( identity_relation(esk66_0) != esk67_0
| relation_dom(esk67_0) != esk66_0
| apply(esk67_0,esk68_0) != esk68_0 ),
i_0_318 ).
cnf(c_0_454,negated_conjecture,
( identity_relation(esk66_0) = esk67_0
| identity_relation(X1) = esk67_0
| ~ in(esk1_2(X1,esk67_0),esk66_0)
| ~ in(esk1_2(X1,esk67_0),X1) ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
cnf(c_0_455,lemma,
( identity_relation(esk66_0) = esk67_0
| in(esk1_2(esk66_0,esk67_0),X1)
| identity_relation(esk66_0) != identity_relation(X1) ),
inference(spm,[status(thm)],[c_0_445,c_0_451]) ).
cnf(c_0_456,plain,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_452]),c_0_418]),c_0_438])]) ).
cnf(c_0_457,negated_conjecture,
( in(esk68_0,esk66_0)
| identity_relation(esk66_0) != esk67_0
| relation_dom(esk67_0) != esk66_0 ),
i_0_319 ).
cnf(c_0_458,negated_conjecture,
( apply(esk67_0,esk68_0) != esk68_0
| identity_relation(esk66_0) != esk67_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_453,c_0_425])]) ).
cnf(c_0_459,lemma,
identity_relation(esk66_0) = esk67_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_451]) ).
cnf(c_0_460,lemma,
( apply(identity_relation(X1),X2) = X2
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_456]),c_0_438]),c_0_439])]) ).
cnf(c_0_461,negated_conjecture,
( in(esk68_0,esk66_0)
| identity_relation(esk66_0) != esk67_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_425])]) ).
cnf(c_0_462,negated_conjecture,
apply(esk67_0,esk68_0) != esk68_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_459])]) ).
cnf(c_0_463,lemma,
( apply(esk67_0,X1) = X1
| ~ in(X1,esk66_0) ),
inference(spm,[status(thm)],[c_0_460,c_0_459]) ).
cnf(c_0_464,negated_conjecture,
in(esk68_0,esk66_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_459])]) ).
cnf(c_0_465,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_463]),c_0_464])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU216+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 10:18:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 20.90/4.07 # ENIGMATIC: Solved by autoschedule-lgb:
% 20.90/4.07 # No SInE strategy applied
% 20.90/4.07 # Trying AutoSched0 for 150 seconds
% 20.90/4.07 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 20.90/4.07 # and selection function SelectMaxLComplexAvoidPosPred.
% 20.90/4.07 #
% 20.90/4.07 # Preprocessing time : 0.024 s
% 20.90/4.07
% 20.90/4.07 # Proof found!
% 20.90/4.07 # SZS status Theorem
% 20.90/4.07 # SZS output start CNFRefutation
% See solution above
% 20.90/4.07 # Training examples: 0 positive, 0 negative
% 20.90/4.07
% 20.90/4.07 # -------------------------------------------------
% 20.90/4.07 # User time : 1.542 s
% 20.90/4.07 # System time : 0.043 s
% 20.90/4.07 # Total time : 1.585 s
% 20.90/4.07 # Maximum resident set size: 7124 pages
% 20.90/4.07
%------------------------------------------------------------------------------