%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM021+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 : Sat Dec 25 05:49:06 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 182 ( 31 equ)
% Maximal formula atoms : 25 ( 7 avg)
% Number of connectives : 188 ( 30 ~; 60 |; 98 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 19 ( 1 sgn 8 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xw,xR)
& sdtmndtplgtdt0(X1,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [X1] : aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
file('/tmp/tmpE-FUA_/sel_COM021+4.p_1',m__818) ).
fof(5,axiom,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xd,xR)
& sdtmndtplgtdt0(X1,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/tmp/tmpE-FUA_/sel_COM021+4.p_1',m__850) ).
fof(14,conjecture,
( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
file('/tmp/tmpE-FUA_/sel_COM021+4.p_1',m__) ).
fof(26,negated_conjecture,
~ ( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(assume_negation,[status(cth)],[14]) ).
fof(324,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xw,xR)
& sdtmndtplgtdt0(X1,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X1] : ~ aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(325,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xw,xR)
& sdtmndtplgtdt0(X2,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X3] : ~ aReductOfIn0(X3,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(variable_rename,[status(thm)],[324]) ).
fof(326,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ( aElement0(esk8_0)
& aReductOfIn0(esk8_0,xw,xR)
& sdtmndtplgtdt0(esk8_0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X3] : ~ aReductOfIn0(X3,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(skolemize,[status(esa)],[325]) ).
fof(327,plain,
! [X3] :
( ~ aReductOfIn0(X3,xd,xR)
& aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ( aElement0(esk8_0)
& aReductOfIn0(esk8_0,xw,xR)
& sdtmndtplgtdt0(esk8_0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(shift_quantors,[status(thm)],[326]) ).
fof(328,plain,
! [X3] :
( ~ aReductOfIn0(X3,xd,xR)
& aElement0(xd)
& ( aElement0(esk8_0)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( aReductOfIn0(esk8_0,xw,xR)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( sdtmndtplgtdt0(esk8_0,xR,xd)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( sdtmndtplgtdt0(xw,xR,xd)
| xw = xd )
& sdtmndtasgtdt0(xw,xR,xd)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(distribute,[status(thm)],[327]) ).
cnf(336,plain,
~ aReductOfIn0(X1,xd,xR),
inference(split_conjunct,[status(thm)],[328]) ).
fof(337,plain,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xb,xR)
& sdtmndtplgtdt0(X2,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,xd,xR)
& sdtmndtplgtdt0(X3,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(338,plain,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ( aElement0(esk9_0)
& aReductOfIn0(esk9_0,xb,xR)
& sdtmndtplgtdt0(esk9_0,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ( aElement0(esk10_0)
& aReductOfIn0(esk10_0,xd,xR)
& sdtmndtplgtdt0(esk10_0,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
inference(skolemize,[status(esa)],[337]) ).
fof(339,plain,
( aElement0(xx)
& ( aElement0(esk9_0)
| aReductOfIn0(xx,xb,xR)
| xb = xx )
& ( aReductOfIn0(esk9_0,xb,xR)
| aReductOfIn0(xx,xb,xR)
| xb = xx )
& ( sdtmndtplgtdt0(esk9_0,xR,xx)
| aReductOfIn0(xx,xb,xR)
| xb = xx )
& ( sdtmndtplgtdt0(xb,xR,xx)
| xb = xx )
& sdtmndtasgtdt0(xb,xR,xx)
& ( aElement0(esk10_0)
| aReductOfIn0(xx,xd,xR)
| xd = xx )
& ( aReductOfIn0(esk10_0,xd,xR)
| aReductOfIn0(xx,xd,xR)
| xd = xx )
& ( sdtmndtplgtdt0(esk10_0,xR,xx)
| aReductOfIn0(xx,xd,xR)
| xd = xx )
& ( sdtmndtplgtdt0(xd,xR,xx)
| xd = xx )
& sdtmndtasgtdt0(xd,xR,xx) ),
inference(distribute,[status(thm)],[338]) ).
cnf(343,plain,
( xd = xx
| aReductOfIn0(xx,xd,xR)
| aReductOfIn0(esk10_0,xd,xR) ),
inference(split_conjunct,[status(thm)],[339]) ).
cnf(345,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(split_conjunct,[status(thm)],[339]) ).
fof(409,negated_conjecture,
( xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xb,xR)
| ~ sdtmndtplgtdt0(X1,xR,xd) )
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(410,negated_conjecture,
( xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xb,xR)
| ~ sdtmndtplgtdt0(X2,xR,xd) )
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(variable_rename,[status(thm)],[409]) ).
fof(411,negated_conjecture,
! [X2] :
( ( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xb,xR)
| ~ sdtmndtplgtdt0(X2,xR,xd) )
& xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(shift_quantors,[status(thm)],[410]) ).
cnf(412,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(split_conjunct,[status(thm)],[411]) ).
cnf(662,plain,
( xx = xd
| aReductOfIn0(esk10_0,xd,xR) ),
inference(sr,[status(thm)],[343,336,theory(equality)]) ).
cnf(663,plain,
xx = xd,
inference(sr,[status(thm)],[662,336,theory(equality)]) ).
cnf(664,plain,
sdtmndtasgtdt0(xb,xR,xd),
inference(rw,[status(thm)],[345,663,theory(equality)]) ).
cnf(665,plain,
$false,
inference(sr,[status(thm)],[664,412,theory(equality)]) ).
cnf(666,plain,
$false,
665,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/COM/COM021+4.p
% --creating new selector for []
% -running prover on /tmp/tmpE-FUA_/sel_COM021+4.p_1 with time limit 29
% -prover status Theorem
% Problem COM021+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/COM/COM021+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/COM/COM021+4.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
%
%------------------------------------------------------------------------------