%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET991+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 04:00:15 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 151 ( 39 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 206 ( 78 ~; 83 |; 38 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 50 ( 0 sgn 32 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(10,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) ) ) ),
file('/tmp/tmpqw5qid/sel_SET991+1.p_1',d5_funct_1) ).
fof(27,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(X2))
=> in(apply(X2,X1),relation_rng(X2)) ) ),
file('/tmp/tmpqw5qid/sel_SET991+1.p_1',t12_funct_1) ).
fof(32,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(X2))
=> in(apply(X2,X1),relation_rng(X2)) ) ),
inference(assume_negation,[status(cth)],[27]) ).
fof(72,plain,
! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ! [X2] :
( ( X2 != relation_rng(X1)
| ! [X3] :
( ( ~ in(X3,X2)
| ? [X4] :
( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) )
& ( ! [X4] :
( ~ in(X4,relation_dom(X1))
| X3 != apply(X1,X4) )
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,relation_dom(X1))
| X3 != apply(X1,X4) ) )
& ( in(X3,X2)
| ? [X4] :
( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) ) )
| X2 = relation_rng(X1) ) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(73,plain,
! [X5] :
( ~ relation(X5)
| ~ function(X5)
| ! [X6] :
( ( X6 != relation_rng(X5)
| ! [X7] :
( ( ~ in(X7,X6)
| ? [X8] :
( in(X8,relation_dom(X5))
& X7 = apply(X5,X8) ) )
& ( ! [X9] :
( ~ in(X9,relation_dom(X5))
| X7 != apply(X5,X9) )
| in(X7,X6) ) ) )
& ( ? [X10] :
( ( ~ in(X10,X6)
| ! [X11] :
( ~ in(X11,relation_dom(X5))
| X10 != apply(X5,X11) ) )
& ( in(X10,X6)
| ? [X12] :
( in(X12,relation_dom(X5))
& X10 = apply(X5,X12) ) ) )
| X6 = relation_rng(X5) ) ) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,plain,
! [X5] :
( ~ relation(X5)
| ~ function(X5)
| ! [X6] :
( ( X6 != relation_rng(X5)
| ! [X7] :
( ( ~ in(X7,X6)
| ( in(esk5_3(X5,X6,X7),relation_dom(X5))
& X7 = apply(X5,esk5_3(X5,X6,X7)) ) )
& ( ! [X9] :
( ~ in(X9,relation_dom(X5))
| X7 != apply(X5,X9) )
| in(X7,X6) ) ) )
& ( ( ( ~ in(esk6_2(X5,X6),X6)
| ! [X11] :
( ~ in(X11,relation_dom(X5))
| esk6_2(X5,X6) != apply(X5,X11) ) )
& ( in(esk6_2(X5,X6),X6)
| ( in(esk7_2(X5,X6),relation_dom(X5))
& esk6_2(X5,X6) = apply(X5,esk7_2(X5,X6)) ) ) )
| X6 = relation_rng(X5) ) ) ),
inference(skolemize,[status(esa)],[73]) ).
fof(75,plain,
! [X5,X6,X7,X9,X11] :
( ( ( ( ( ~ in(X11,relation_dom(X5))
| esk6_2(X5,X6) != apply(X5,X11)
| ~ in(esk6_2(X5,X6),X6) )
& ( in(esk6_2(X5,X6),X6)
| ( in(esk7_2(X5,X6),relation_dom(X5))
& esk6_2(X5,X6) = apply(X5,esk7_2(X5,X6)) ) ) )
| X6 = relation_rng(X5) )
& ( ( ( ~ in(X9,relation_dom(X5))
| X7 != apply(X5,X9)
| in(X7,X6) )
& ( ~ in(X7,X6)
| ( in(esk5_3(X5,X6,X7),relation_dom(X5))
& X7 = apply(X5,esk5_3(X5,X6,X7)) ) ) )
| X6 != relation_rng(X5) ) )
| ~ relation(X5)
| ~ function(X5) ),
inference(shift_quantors,[status(thm)],[74]) ).
fof(76,plain,
! [X5,X6,X7,X9,X11] :
( ( ~ in(X11,relation_dom(X5))
| esk6_2(X5,X6) != apply(X5,X11)
| ~ in(esk6_2(X5,X6),X6)
| X6 = relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk7_2(X5,X6),relation_dom(X5))
| in(esk6_2(X5,X6),X6)
| X6 = relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( esk6_2(X5,X6) = apply(X5,esk7_2(X5,X6))
| in(esk6_2(X5,X6),X6)
| X6 = relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(X9,relation_dom(X5))
| X7 != apply(X5,X9)
| in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk5_3(X5,X6,X7),relation_dom(X5))
| ~ in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( X7 = apply(X5,esk5_3(X5,X6,X7))
| ~ in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) ) ),
inference(distribute,[status(thm)],[75]) ).
cnf(79,plain,
( in(X3,X2)
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| X3 != apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(132,negated_conjecture,
? [X1,X2] :
( relation(X2)
& function(X2)
& in(X1,relation_dom(X2))
& ~ in(apply(X2,X1),relation_rng(X2)) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(133,negated_conjecture,
? [X3,X4] :
( relation(X4)
& function(X4)
& in(X3,relation_dom(X4))
& ~ in(apply(X4,X3),relation_rng(X4)) ),
inference(variable_rename,[status(thm)],[132]) ).
fof(134,negated_conjecture,
( relation(esk11_0)
& function(esk11_0)
& in(esk10_0,relation_dom(esk11_0))
& ~ in(apply(esk11_0,esk10_0),relation_rng(esk11_0)) ),
inference(skolemize,[status(esa)],[133]) ).
cnf(135,negated_conjecture,
~ in(apply(esk11_0,esk10_0),relation_rng(esk11_0)),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(136,negated_conjecture,
in(esk10_0,relation_dom(esk11_0)),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(137,negated_conjecture,
function(esk11_0),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(138,negated_conjecture,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(194,plain,
( in(apply(X1,X2),X3)
| relation_rng(X1) != X3
| ~ function(X1)
| ~ in(X2,relation_dom(X1))
| ~ relation(X1) ),
inference(er,[status(thm)],[79,theory(equality)]) ).
cnf(449,negated_conjecture,
( ~ function(esk11_0)
| ~ in(esk10_0,relation_dom(esk11_0))
| ~ relation(esk11_0) ),
inference(spm,[status(thm)],[135,194,theory(equality)]) ).
cnf(464,negated_conjecture,
( $false
| ~ in(esk10_0,relation_dom(esk11_0))
| ~ relation(esk11_0) ),
inference(rw,[status(thm)],[449,137,theory(equality)]) ).
cnf(465,negated_conjecture,
( $false
| $false
| ~ relation(esk11_0) ),
inference(rw,[status(thm)],[464,136,theory(equality)]) ).
cnf(466,negated_conjecture,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[465,138,theory(equality)]) ).
cnf(467,negated_conjecture,
$false,
inference(cn,[status(thm)],[466,theory(equality)]) ).
cnf(468,negated_conjecture,
$false,
467,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET991+1.p
% --creating new selector for []
% -running prover on /tmp/tmpqw5qid/sel_SET991+1.p_1 with time limit 29
% -prover status Theorem
% Problem SET991+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET991+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET991+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
%
%------------------------------------------------------------------------------