TSTP Solution File: SEU083+1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU083+1 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 15:45:06 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 5 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(fc9_finset_1,plain,
! [A,B] :
( ~ finite(A)
| ~ finite(B)
| finite(set_union2(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU083+1.tptp',unknown),
[] ).
cnf(166534688,plain,
( ~ finite(A)
| ~ finite(B)
| finite(set_union2(A,B)) ),
inference(rewrite,[status(thm)],[fc9_finset_1]),
[] ).
fof(t14_finset_1,plain,
( finite(a)
& finite(b)
& ~ finite(set_union2(a,b)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU083+1.tptp',unknown),
[] ).
cnf(167349336,plain,
finite(b),
inference(rewrite,[status(thm)],[t14_finset_1]),
[] ).
cnf(181819216,plain,
( ~ finite(A)
| finite(set_union2(A,b)) ),
inference(resolution,[status(thm)],[166534688,167349336]),
[] ).
cnf(167357152,plain,
finite(a),
inference(rewrite,[status(thm)],[t14_finset_1]),
[] ).
cnf(181857816,plain,
finite(set_union2(a,b)),
inference(resolution,[status(thm)],[181819216,167357152]),
[] ).
cnf(167336792,plain,
~ finite(set_union2(a,b)),
inference(rewrite,[status(thm)],[t14_finset_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[181857816,167336792]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(fc9_finset_1,plain,(~finite(A)|~finite(B)|finite(set_union2(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU083+1.tptp',unknown),[]).
%
% cnf(166534688,plain,(~finite(A)|~finite(B)|finite(set_union2(A,B))),inference(rewrite,[status(thm)],[fc9_finset_1]),[]).
%
% fof(t14_finset_1,plain,((finite(a)&finite(b)&~finite(set_union2(a,b)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU083+1.tptp',unknown),[]).
%
% cnf(167349336,plain,(finite(b)),inference(rewrite,[status(thm)],[t14_finset_1]),[]).
%
% cnf(181819216,plain,(~finite(A)|finite(set_union2(A,b))),inference(resolution,[status(thm)],[166534688,167349336]),[]).
%
% cnf(167357152,plain,(finite(a)),inference(rewrite,[status(thm)],[t14_finset_1]),[]).
%
% cnf(181857816,plain,(finite(set_union2(a,b))),inference(resolution,[status(thm)],[181819216,167357152]),[]).
%
% cnf(167336792,plain,(~finite(set_union2(a,b))),inference(rewrite,[status(thm)],[t14_finset_1]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181857816,167336792]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------