TSTP Solution File: SEU284+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU284+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 06:46:06 EST 2010
% Result : Theorem 19.58s
% Output : CNFRefutation 19.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 2
% Syntax : Number of formulae : 82 ( 11 unt; 0 def)
% Number of atoms : 375 ( 207 equ)
% Maximal formula atoms : 104 ( 4 avg)
% Number of connectives : 441 ( 148 ~; 212 |; 76 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 106 ( 12 sgn 30 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(13,conjecture,
! [X1] :
? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = singleton(X3) ) ),
file('/tmp/tmp2Gsr32/sel_SEU284+1.p_1',s3_funct_1__e16_22__wellord2) ).
fof(17,axiom,
! [X1] :
( ( ! [X2,X3,X4] :
( ( in(X2,X1)
& X3 = singleton(X2)
& X4 = singleton(X2) )
=> X3 = X4 )
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] : X3 != singleton(X2) ) )
=> ? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = singleton(X3) ) ) ),
file('/tmp/tmp2Gsr32/sel_SEU284+1.p_1',s2_funct_1__e16_22__wellord2__1) ).
fof(28,negated_conjecture,
~ ! [X1] :
? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = singleton(X3) ) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(73,negated_conjecture,
? [X1] :
! [X2] :
( ~ relation(X2)
| ~ function(X2)
| relation_dom(X2) != X1
| ? [X3] :
( in(X3,X1)
& apply(X2,X3) != singleton(X3) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(74,negated_conjecture,
? [X4] :
! [X5] :
( ~ relation(X5)
| ~ function(X5)
| relation_dom(X5) != X4
| ? [X6] :
( in(X6,X4)
& apply(X5,X6) != singleton(X6) ) ),
inference(variable_rename,[status(thm)],[73]) ).
fof(75,negated_conjecture,
! [X5] :
( ~ relation(X5)
| ~ function(X5)
| relation_dom(X5) != esk5_0
| ( in(esk6_1(X5),esk5_0)
& apply(X5,esk6_1(X5)) != singleton(esk6_1(X5)) ) ),
inference(skolemize,[status(esa)],[74]) ).
fof(76,negated_conjecture,
! [X5] :
( ( in(esk6_1(X5),esk5_0)
| ~ relation(X5)
| ~ function(X5)
| relation_dom(X5) != esk5_0 )
& ( apply(X5,esk6_1(X5)) != singleton(esk6_1(X5))
| ~ relation(X5)
| ~ function(X5)
| relation_dom(X5) != esk5_0 ) ),
inference(distribute,[status(thm)],[75]) ).
cnf(77,negated_conjecture,
( relation_dom(X1) != esk5_0
| ~ function(X1)
| ~ relation(X1)
| apply(X1,esk6_1(X1)) != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(78,negated_conjecture,
( in(esk6_1(X1),esk5_0)
| relation_dom(X1) != esk5_0
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(84,plain,
! [X1] :
( ? [X2,X3,X4] :
( in(X2,X1)
& X3 = singleton(X2)
& X4 = singleton(X2)
& X3 != X4 )
| ? [X2] :
( in(X2,X1)
& ! [X3] : X3 != singleton(X2) )
| ? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X1
& ! [X3] :
( ~ in(X3,X1)
| apply(X2,X3) = singleton(X3) ) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(85,plain,
! [X5] :
( ? [X6,X7,X8] :
( in(X6,X5)
& X7 = singleton(X6)
& X8 = singleton(X6)
& X7 != X8 )
| ? [X9] :
( in(X9,X5)
& ! [X10] : X10 != singleton(X9) )
| ? [X11] :
( relation(X11)
& function(X11)
& relation_dom(X11) = X5
& ! [X12] :
( ~ in(X12,X5)
| apply(X11,X12) = singleton(X12) ) ) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,plain,
! [X5] :
( ( in(esk7_1(X5),X5)
& esk8_1(X5) = singleton(esk7_1(X5))
& esk9_1(X5) = singleton(esk7_1(X5))
& esk8_1(X5) != esk9_1(X5) )
| ( in(esk10_1(X5),X5)
& ! [X10] : X10 != singleton(esk10_1(X5)) )
| ( relation(esk11_1(X5))
& function(esk11_1(X5))
& relation_dom(esk11_1(X5)) = X5
& ! [X12] :
( ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) ) ) ),
inference(skolemize,[status(esa)],[85]) ).
fof(87,plain,
! [X5,X10,X12] :
( ( ( ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) )
& relation(esk11_1(X5))
& function(esk11_1(X5))
& relation_dom(esk11_1(X5)) = X5 )
| ( X10 != singleton(esk10_1(X5))
& in(esk10_1(X5),X5) )
| ( in(esk7_1(X5),X5)
& esk8_1(X5) = singleton(esk7_1(X5))
& esk9_1(X5) = singleton(esk7_1(X5))
& esk8_1(X5) != esk9_1(X5) ) ),
inference(shift_quantors,[status(thm)],[86]) ).
fof(88,plain,
! [X5,X10,X12] :
( ( in(esk7_1(X5),X5)
| X10 != singleton(esk10_1(X5))
| ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) )
& ( esk8_1(X5) = singleton(esk7_1(X5))
| X10 != singleton(esk10_1(X5))
| ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) )
& ( esk9_1(X5) = singleton(esk7_1(X5))
| X10 != singleton(esk10_1(X5))
| ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) )
& ( esk8_1(X5) != esk9_1(X5)
| X10 != singleton(esk10_1(X5))
| ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) )
& ( in(esk7_1(X5),X5)
| in(esk10_1(X5),X5)
| ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) )
& ( esk8_1(X5) = singleton(esk7_1(X5))
| in(esk10_1(X5),X5)
| ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) )
& ( esk9_1(X5) = singleton(esk7_1(X5))
| in(esk10_1(X5),X5)
| ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) )
& ( esk8_1(X5) != esk9_1(X5)
| in(esk10_1(X5),X5)
| ~ in(X12,X5)
| apply(esk11_1(X5),X12) = singleton(X12) )
& ( in(esk7_1(X5),X5)
| X10 != singleton(esk10_1(X5))
| relation(esk11_1(X5)) )
& ( esk8_1(X5) = singleton(esk7_1(X5))
| X10 != singleton(esk10_1(X5))
| relation(esk11_1(X5)) )
& ( esk9_1(X5) = singleton(esk7_1(X5))
| X10 != singleton(esk10_1(X5))
| relation(esk11_1(X5)) )
& ( esk8_1(X5) != esk9_1(X5)
| X10 != singleton(esk10_1(X5))
| relation(esk11_1(X5)) )
& ( in(esk7_1(X5),X5)
| in(esk10_1(X5),X5)
| relation(esk11_1(X5)) )
& ( esk8_1(X5) = singleton(esk7_1(X5))
| in(esk10_1(X5),X5)
| relation(esk11_1(X5)) )
& ( esk9_1(X5) = singleton(esk7_1(X5))
| in(esk10_1(X5),X5)
| relation(esk11_1(X5)) )
& ( esk8_1(X5) != esk9_1(X5)
| in(esk10_1(X5),X5)
| relation(esk11_1(X5)) )
& ( in(esk7_1(X5),X5)
| X10 != singleton(esk10_1(X5))
| function(esk11_1(X5)) )
& ( esk8_1(X5) = singleton(esk7_1(X5))
| X10 != singleton(esk10_1(X5))
| function(esk11_1(X5)) )
& ( esk9_1(X5) = singleton(esk7_1(X5))
| X10 != singleton(esk10_1(X5))
| function(esk11_1(X5)) )
& ( esk8_1(X5) != esk9_1(X5)
| X10 != singleton(esk10_1(X5))
| function(esk11_1(X5)) )
& ( in(esk7_1(X5),X5)
| in(esk10_1(X5),X5)
| function(esk11_1(X5)) )
& ( esk8_1(X5) = singleton(esk7_1(X5))
| in(esk10_1(X5),X5)
| function(esk11_1(X5)) )
& ( esk9_1(X5) = singleton(esk7_1(X5))
| in(esk10_1(X5),X5)
| function(esk11_1(X5)) )
& ( esk8_1(X5) != esk9_1(X5)
| in(esk10_1(X5),X5)
| function(esk11_1(X5)) )
& ( in(esk7_1(X5),X5)
| X10 != singleton(esk10_1(X5))
| relation_dom(esk11_1(X5)) = X5 )
& ( esk8_1(X5) = singleton(esk7_1(X5))
| X10 != singleton(esk10_1(X5))
| relation_dom(esk11_1(X5)) = X5 )
& ( esk9_1(X5) = singleton(esk7_1(X5))
| X10 != singleton(esk10_1(X5))
| relation_dom(esk11_1(X5)) = X5 )
& ( esk8_1(X5) != esk9_1(X5)
| X10 != singleton(esk10_1(X5))
| relation_dom(esk11_1(X5)) = X5 )
& ( in(esk7_1(X5),X5)
| in(esk10_1(X5),X5)
| relation_dom(esk11_1(X5)) = X5 )
& ( esk8_1(X5) = singleton(esk7_1(X5))
| in(esk10_1(X5),X5)
| relation_dom(esk11_1(X5)) = X5 )
& ( esk9_1(X5) = singleton(esk7_1(X5))
| in(esk10_1(X5),X5)
| relation_dom(esk11_1(X5)) = X5 )
& ( esk8_1(X5) != esk9_1(X5)
| in(esk10_1(X5),X5)
| relation_dom(esk11_1(X5)) = X5 ) ),
inference(distribute,[status(thm)],[87]) ).
cnf(93,plain,
( relation_dom(esk11_1(X1)) = X1
| X2 != singleton(esk10_1(X1))
| esk8_1(X1) != esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(94,plain,
( relation_dom(esk11_1(X1)) = X1
| esk9_1(X1) = singleton(esk7_1(X1))
| X2 != singleton(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(95,plain,
( relation_dom(esk11_1(X1)) = X1
| esk8_1(X1) = singleton(esk7_1(X1))
| X2 != singleton(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(101,plain,
( function(esk11_1(X1))
| X2 != singleton(esk10_1(X1))
| esk8_1(X1) != esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(102,plain,
( function(esk11_1(X1))
| esk9_1(X1) = singleton(esk7_1(X1))
| X2 != singleton(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(103,plain,
( function(esk11_1(X1))
| esk8_1(X1) = singleton(esk7_1(X1))
| X2 != singleton(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(109,plain,
( relation(esk11_1(X1))
| X2 != singleton(esk10_1(X1))
| esk8_1(X1) != esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(110,plain,
( relation(esk11_1(X1))
| esk9_1(X1) = singleton(esk7_1(X1))
| X2 != singleton(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(111,plain,
( relation(esk11_1(X1))
| esk8_1(X1) = singleton(esk7_1(X1))
| X2 != singleton(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(117,plain,
( apply(esk11_1(X1),X2) = singleton(X2)
| ~ in(X2,X1)
| X3 != singleton(esk10_1(X1))
| esk8_1(X1) != esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(118,plain,
( apply(esk11_1(X1),X2) = singleton(X2)
| esk9_1(X1) = singleton(esk7_1(X1))
| ~ in(X2,X1)
| X3 != singleton(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(119,plain,
( apply(esk11_1(X1),X2) = singleton(X2)
| esk8_1(X1) = singleton(esk7_1(X1))
| ~ in(X2,X1)
| X3 != singleton(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(217,plain,
( relation(esk11_1(X1))
| esk9_1(X1) != esk8_1(X1) ),
inference(er,[status(thm)],[109,theory(equality)]) ).
cnf(239,plain,
( function(esk11_1(X1))
| esk9_1(X1) != esk8_1(X1) ),
inference(er,[status(thm)],[101,theory(equality)]) ).
cnf(281,plain,
( relation_dom(esk11_1(X1)) = X1
| esk9_1(X1) != esk8_1(X1) ),
inference(er,[status(thm)],[93,theory(equality)]) ).
cnf(288,plain,
( esk8_1(X1) = singleton(esk7_1(X1))
| relation(esk11_1(X1)) ),
inference(er,[status(thm)],[111,theory(equality)]) ).
cnf(295,plain,
( esk8_1(X1) = singleton(esk7_1(X1))
| function(esk11_1(X1)) ),
inference(er,[status(thm)],[103,theory(equality)]) ).
cnf(302,plain,
( esk9_1(X1) = singleton(esk7_1(X1))
| relation(esk11_1(X1)) ),
inference(er,[status(thm)],[110,theory(equality)]) ).
cnf(309,plain,
( esk9_1(X1) = singleton(esk7_1(X1))
| function(esk11_1(X1)) ),
inference(er,[status(thm)],[102,theory(equality)]) ).
cnf(342,plain,
( esk8_1(X1) = singleton(esk7_1(X1))
| relation_dom(esk11_1(X1)) = X1 ),
inference(er,[status(thm)],[95,theory(equality)]) ).
cnf(349,plain,
( esk9_1(X1) = singleton(esk7_1(X1))
| relation_dom(esk11_1(X1)) = X1 ),
inference(er,[status(thm)],[94,theory(equality)]) ).
cnf(374,plain,
( apply(esk11_1(X1),X2) = singleton(X2)
| esk9_1(X1) != esk8_1(X1)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[117,theory(equality)]) ).
cnf(399,plain,
( apply(esk11_1(X1),X2) = singleton(X2)
| esk8_1(X1) = singleton(esk7_1(X1))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[119,theory(equality)]) ).
cnf(406,plain,
( apply(esk11_1(X1),X2) = singleton(X2)
| esk9_1(X1) = singleton(esk7_1(X1))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[118,theory(equality)]) ).
cnf(773,negated_conjecture,
( in(esk6_1(esk11_1(X1)),esk5_0)
| esk8_1(X1) = singleton(esk7_1(X1))
| X1 != esk5_0
| ~ function(esk11_1(X1))
| ~ relation(esk11_1(X1)) ),
inference(spm,[status(thm)],[78,342,theory(equality)]) ).
cnf(778,negated_conjecture,
( esk8_1(X1) = singleton(esk7_1(X1))
| apply(esk11_1(X1),esk6_1(esk11_1(X1))) != singleton(esk6_1(esk11_1(X1)))
| X1 != esk5_0
| ~ function(esk11_1(X1))
| ~ relation(esk11_1(X1)) ),
inference(spm,[status(thm)],[77,342,theory(equality)]) ).
cnf(791,negated_conjecture,
( in(esk6_1(esk11_1(X1)),esk5_0)
| esk9_1(X1) = singleton(esk7_1(X1))
| X1 != esk5_0
| ~ function(esk11_1(X1))
| ~ relation(esk11_1(X1)) ),
inference(spm,[status(thm)],[78,349,theory(equality)]) ).
cnf(796,negated_conjecture,
( esk9_1(X1) = singleton(esk7_1(X1))
| apply(esk11_1(X1),esk6_1(esk11_1(X1))) != singleton(esk6_1(esk11_1(X1)))
| X1 != esk5_0
| ~ function(esk11_1(X1))
| ~ relation(esk11_1(X1)) ),
inference(spm,[status(thm)],[77,349,theory(equality)]) ).
cnf(10741,negated_conjecture,
( esk8_1(X1) = singleton(esk7_1(X1))
| in(esk6_1(esk11_1(X1)),esk5_0)
| X1 != esk5_0
| ~ function(esk11_1(X1)) ),
inference(csr,[status(thm)],[773,288]) ).
cnf(10742,negated_conjecture,
( esk8_1(X1) = singleton(esk7_1(X1))
| in(esk6_1(esk11_1(X1)),esk5_0)
| X1 != esk5_0 ),
inference(csr,[status(thm)],[10741,295]) ).
cnf(10743,negated_conjecture,
( esk8_1(esk5_0) = singleton(esk7_1(esk5_0))
| in(esk6_1(esk11_1(esk5_0)),esk5_0) ),
inference(er,[status(thm)],[10742,theory(equality)]) ).
cnf(10862,negated_conjecture,
( apply(esk11_1(esk5_0),esk6_1(esk11_1(esk5_0))) = singleton(esk6_1(esk11_1(esk5_0)))
| esk8_1(esk5_0) = singleton(esk7_1(esk5_0)) ),
inference(spm,[status(thm)],[399,10743,theory(equality)]) ).
cnf(10993,negated_conjecture,
( esk8_1(X1) = singleton(esk7_1(X1))
| apply(esk11_1(X1),esk6_1(esk11_1(X1))) != singleton(esk6_1(esk11_1(X1)))
| X1 != esk5_0
| ~ function(esk11_1(X1)) ),
inference(csr,[status(thm)],[778,288]) ).
cnf(10994,negated_conjecture,
( esk8_1(X1) = singleton(esk7_1(X1))
| apply(esk11_1(X1),esk6_1(esk11_1(X1))) != singleton(esk6_1(esk11_1(X1)))
| X1 != esk5_0 ),
inference(csr,[status(thm)],[10993,295]) ).
cnf(10995,negated_conjecture,
( esk8_1(esk5_0) = singleton(esk7_1(esk5_0))
| apply(esk11_1(esk5_0),esk6_1(esk11_1(esk5_0))) != singleton(esk6_1(esk11_1(esk5_0))) ),
inference(er,[status(thm)],[10994,theory(equality)]) ).
cnf(12003,negated_conjecture,
( esk9_1(X1) = singleton(esk7_1(X1))
| in(esk6_1(esk11_1(X1)),esk5_0)
| X1 != esk5_0
| ~ function(esk11_1(X1)) ),
inference(csr,[status(thm)],[791,302]) ).
cnf(12004,negated_conjecture,
( esk9_1(X1) = singleton(esk7_1(X1))
| in(esk6_1(esk11_1(X1)),esk5_0)
| X1 != esk5_0 ),
inference(csr,[status(thm)],[12003,309]) ).
cnf(12005,negated_conjecture,
( esk9_1(esk5_0) = singleton(esk7_1(esk5_0))
| in(esk6_1(esk11_1(esk5_0)),esk5_0) ),
inference(er,[status(thm)],[12004,theory(equality)]) ).
cnf(12085,negated_conjecture,
( apply(esk11_1(esk5_0),esk6_1(esk11_1(esk5_0))) = singleton(esk6_1(esk11_1(esk5_0)))
| esk9_1(esk5_0) = singleton(esk7_1(esk5_0)) ),
inference(spm,[status(thm)],[406,12005,theory(equality)]) ).
cnf(12337,negated_conjecture,
( esk9_1(X1) = singleton(esk7_1(X1))
| apply(esk11_1(X1),esk6_1(esk11_1(X1))) != singleton(esk6_1(esk11_1(X1)))
| X1 != esk5_0
| ~ function(esk11_1(X1)) ),
inference(csr,[status(thm)],[796,302]) ).
cnf(12338,negated_conjecture,
( esk9_1(X1) = singleton(esk7_1(X1))
| apply(esk11_1(X1),esk6_1(esk11_1(X1))) != singleton(esk6_1(esk11_1(X1)))
| X1 != esk5_0 ),
inference(csr,[status(thm)],[12337,309]) ).
cnf(12339,negated_conjecture,
( esk9_1(esk5_0) = singleton(esk7_1(esk5_0))
| apply(esk11_1(esk5_0),esk6_1(esk11_1(esk5_0))) != singleton(esk6_1(esk11_1(esk5_0))) ),
inference(er,[status(thm)],[12338,theory(equality)]) ).
cnf(350136,negated_conjecture,
esk8_1(esk5_0) = singleton(esk7_1(esk5_0)),
inference(csr,[status(thm)],[10995,10862]) ).
cnf(350234,negated_conjecture,
esk9_1(esk5_0) = singleton(esk7_1(esk5_0)),
inference(csr,[status(thm)],[12339,12085]) ).
cnf(350235,negated_conjecture,
( relation(esk11_1(esk5_0))
| singleton(esk7_1(esk5_0)) != esk8_1(esk5_0) ),
inference(spm,[status(thm)],[217,350234,theory(equality)]) ).
cnf(350236,negated_conjecture,
( function(esk11_1(esk5_0))
| singleton(esk7_1(esk5_0)) != esk8_1(esk5_0) ),
inference(spm,[status(thm)],[239,350234,theory(equality)]) ).
cnf(350237,negated_conjecture,
( relation_dom(esk11_1(esk5_0)) = esk5_0
| singleton(esk7_1(esk5_0)) != esk8_1(esk5_0) ),
inference(spm,[status(thm)],[281,350234,theory(equality)]) ).
cnf(350238,negated_conjecture,
( apply(esk11_1(esk5_0),X1) = singleton(X1)
| singleton(esk7_1(esk5_0)) != esk8_1(esk5_0)
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[374,350234,theory(equality)]) ).
cnf(350323,negated_conjecture,
( relation(esk11_1(esk5_0))
| $false ),
inference(rw,[status(thm)],[350235,350136,theory(equality)]) ).
cnf(350324,negated_conjecture,
relation(esk11_1(esk5_0)),
inference(cn,[status(thm)],[350323,theory(equality)]) ).
cnf(350325,negated_conjecture,
( function(esk11_1(esk5_0))
| $false ),
inference(rw,[status(thm)],[350236,350136,theory(equality)]) ).
cnf(350326,negated_conjecture,
function(esk11_1(esk5_0)),
inference(cn,[status(thm)],[350325,theory(equality)]) ).
cnf(350327,negated_conjecture,
( relation_dom(esk11_1(esk5_0)) = esk5_0
| $false ),
inference(rw,[status(thm)],[350237,350136,theory(equality)]) ).
cnf(350328,negated_conjecture,
relation_dom(esk11_1(esk5_0)) = esk5_0,
inference(cn,[status(thm)],[350327,theory(equality)]) ).
cnf(350329,negated_conjecture,
( apply(esk11_1(esk5_0),X1) = singleton(X1)
| $false
| ~ in(X1,esk5_0) ),
inference(rw,[status(thm)],[350238,350136,theory(equality)]) ).
cnf(350330,negated_conjecture,
( apply(esk11_1(esk5_0),X1) = singleton(X1)
| ~ in(X1,esk5_0) ),
inference(cn,[status(thm)],[350329,theory(equality)]) ).
cnf(350342,negated_conjecture,
( in(esk6_1(esk11_1(esk5_0)),esk5_0)
| ~ function(esk11_1(esk5_0))
| ~ relation(esk11_1(esk5_0)) ),
inference(spm,[status(thm)],[78,350328,theory(equality)]) ).
cnf(350345,negated_conjecture,
( apply(esk11_1(esk5_0),esk6_1(esk11_1(esk5_0))) != singleton(esk6_1(esk11_1(esk5_0)))
| ~ function(esk11_1(esk5_0))
| ~ relation(esk11_1(esk5_0)) ),
inference(spm,[status(thm)],[77,350328,theory(equality)]) ).
cnf(351379,negated_conjecture,
( in(esk6_1(esk11_1(esk5_0)),esk5_0)
| $false
| ~ relation(esk11_1(esk5_0)) ),
inference(rw,[status(thm)],[350342,350326,theory(equality)]) ).
cnf(351380,negated_conjecture,
( in(esk6_1(esk11_1(esk5_0)),esk5_0)
| $false
| $false ),
inference(rw,[status(thm)],[351379,350324,theory(equality)]) ).
cnf(351381,negated_conjecture,
in(esk6_1(esk11_1(esk5_0)),esk5_0),
inference(cn,[status(thm)],[351380,theory(equality)]) ).
cnf(351385,negated_conjecture,
( apply(esk11_1(esk5_0),esk6_1(esk11_1(esk5_0))) != singleton(esk6_1(esk11_1(esk5_0)))
| $false
| ~ relation(esk11_1(esk5_0)) ),
inference(rw,[status(thm)],[350345,350326,theory(equality)]) ).
cnf(351386,negated_conjecture,
( apply(esk11_1(esk5_0),esk6_1(esk11_1(esk5_0))) != singleton(esk6_1(esk11_1(esk5_0)))
| $false
| $false ),
inference(rw,[status(thm)],[351385,350324,theory(equality)]) ).
cnf(351387,negated_conjecture,
apply(esk11_1(esk5_0),esk6_1(esk11_1(esk5_0))) != singleton(esk6_1(esk11_1(esk5_0))),
inference(cn,[status(thm)],[351386,theory(equality)]) ).
cnf(351771,negated_conjecture,
apply(esk11_1(esk5_0),esk6_1(esk11_1(esk5_0))) = singleton(esk6_1(esk11_1(esk5_0))),
inference(spm,[status(thm)],[350330,351381,theory(equality)]) ).
cnf(352774,negated_conjecture,
$false,
inference(rw,[status(thm)],[351387,351771,theory(equality)]) ).
cnf(352775,negated_conjecture,
$false,
inference(cn,[status(thm)],[352774,theory(equality)]) ).
cnf(352776,negated_conjecture,
$false,
352775,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU284+1.p
% --creating new selector for []
% -running prover on /tmp/tmp2Gsr32/sel_SEU284+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU284+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU284+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU284+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------