%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU214+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 08:39:37 EDT 2022
% Result : Theorem 131.96s 18.07s
% Output : CNFRefutation 131.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 15 unt; 0 nHn; 37 RR)
% Number of literals : 131 ( 21 equ; 94 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-5 aty)
% Number of variables : 85 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_388,lemma,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_388) ).
cnf(i_0_5,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_5) ).
cnf(i_0_140,plain,
( in(unordered_pair(unordered_pair(esk47_5(X1,X2,X3,X4,X5),X5),unordered_pair(esk47_5(X1,X2,X3,X4,X5),esk47_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_140) ).
cnf(i_0_169,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_169) ).
cnf(i_0_141,plain,
( in(unordered_pair(unordered_pair(X1,esk47_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_141) ).
cnf(i_0_387,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/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_387) ).
cnf(i_0_185,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_185) ).
cnf(i_0_299,negated_conjecture,
in(esk65_0,relation_dom(relation_composition(esk67_0,esk66_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_299) ).
cnf(i_0_302,negated_conjecture,
function(esk66_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_302) ).
cnf(i_0_300,negated_conjecture,
function(esk67_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_300) ).
cnf(i_0_303,negated_conjecture,
relation(esk66_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_303) ).
cnf(i_0_301,negated_conjecture,
relation(esk67_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_301) ).
cnf(i_0_298,negated_conjecture,
apply(relation_composition(esk67_0,esk66_0),esk65_0) != apply(esk66_0,apply(esk67_0,esk65_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tfdj8hi8/lgb.p',i_0_298) ).
cnf(c_0_402,lemma,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
i_0_388 ).
cnf(c_0_403,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_5 ).
cnf(c_0_404,plain,
( in(unordered_pair(unordered_pair(esk47_5(X1,X2,X3,X4,X5),X5),unordered_pair(esk47_5(X1,X2,X3,X4,X5),esk47_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X3) ),
i_0_140 ).
cnf(c_0_405,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_169 ).
cnf(c_0_406,plain,
( in(unordered_pair(unordered_pair(X1,esk47_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X4) ),
i_0_141 ).
cnf(c_0_407,plain,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X3,X3)),X2) ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_408,plain,
( in(unordered_pair(unordered_pair(X1,esk47_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk47_5(X2,X3,relation_composition(X2,X3),X4,X1),esk47_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_404,c_0_403])]),c_0_405]) ).
cnf(c_0_409,plain,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X1)),X2) ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_410,plain,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk47_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_403])]),c_0_405]) ).
cnf(c_0_411,plain,
( apply(X1,esk47_5(X2,X1,relation_composition(X2,X1),X3,X4)) = X4
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),relation_composition(X2,X1)) ),
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
cnf(c_0_412,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_387 ).
cnf(c_0_413,plain,
( esk47_5(X1,X2,relation_composition(X1,X2),X3,X4) = apply(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),relation_composition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_414,plain,
( apply(X1,esk47_5(X2,X1,relation_composition(X2,X1),X3,X4)) = X4
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X4)),relation_composition(X2,X1)) ),
inference(spm,[status(thm)],[c_0_411,c_0_403]) ).
cnf(c_0_415,lemma,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_412]),c_0_403]) ).
cnf(c_0_416,plain,
( esk47_5(X1,X2,relation_composition(X1,X2),X3,X4) = apply(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X4)),relation_composition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_413,c_0_403]) ).
cnf(c_0_417,lemma,
( apply(X1,esk47_5(X2,X1,relation_composition(X2,X1),X3,apply(relation_composition(X2,X1),X3))) = apply(relation_composition(X2,X1),X3)
| ~ function(relation_composition(X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X2,X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_405]) ).
cnf(c_0_418,lemma,
( esk47_5(X1,X2,relation_composition(X1,X2),X3,apply(relation_composition(X1,X2),X3)) = apply(X1,X3)
| ~ function(relation_composition(X1,X2))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X1,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_415]),c_0_405]) ).
cnf(c_0_419,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_185 ).
cnf(c_0_420,lemma,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X3,relation_dom(relation_composition(X1,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]) ).
cnf(c_0_421,negated_conjecture,
in(esk65_0,relation_dom(relation_composition(esk67_0,esk66_0))),
i_0_299 ).
cnf(c_0_422,negated_conjecture,
function(esk66_0),
i_0_302 ).
cnf(c_0_423,negated_conjecture,
function(esk67_0),
i_0_300 ).
cnf(c_0_424,negated_conjecture,
relation(esk66_0),
i_0_303 ).
cnf(c_0_425,negated_conjecture,
relation(esk67_0),
i_0_301 ).
cnf(c_0_426,negated_conjecture,
apply(relation_composition(esk67_0,esk66_0),esk65_0) != apply(esk66_0,apply(esk67_0,esk65_0)),
i_0_298 ).
cnf(c_0_427,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_422]),c_0_423]),c_0_424]),c_0_425])]),c_0_426]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU214+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 06:04:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 131.96/18.07 # ENIGMATIC: Solved by autoschedule-lgb:
% 131.96/18.07 # No SInE strategy applied
% 131.96/18.07 # Trying AutoSched0 for 150 seconds
% 131.96/18.07 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 131.96/18.07 # and selection function SelectComplexExceptUniqMaxHorn.
% 131.96/18.07 #
% 131.96/18.07 # Preprocessing time : 0.024 s
% 131.96/18.07 # Presaturation interreduction done
% 131.96/18.07
% 131.96/18.07 # Proof found!
% 131.96/18.07 # SZS status Theorem
% 131.96/18.07 # SZS output start CNFRefutation
% See solution above
% 131.96/18.07 # Training examples: 0 positive, 0 negative
% 131.96/18.07
% 131.96/18.07 # -------------------------------------------------
% 131.96/18.07 # User time : 15.516 s
% 131.96/18.07 # System time : 0.116 s
% 131.96/18.07 # Total time : 15.632 s
% 131.96/18.07 # Maximum resident set size: 7124 pages
% 131.96/18.07
%------------------------------------------------------------------------------