TSTP Solution File: SYN081+1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN081+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 16:42:33 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 2 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 11 ( 5 ~; 5 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 5 ( 1 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel59,plain,
! [A] :
( ~ big_f(A)
| big_f(f(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN081+1.tptp',unknown),
[] ).
fof(pel59_1,plain,
! [A] :
( ( ~ big_f(A)
| ~ big_f(f(A)) )
& ( big_f(A)
| big_f(f(A)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN081+1.tptp',unknown),
[] ).
cnf(165139392,plain,
( big_f(A)
| big_f(f(A)) ),
inference(rewrite,[status(thm)],[pel59_1]),
[] ).
cnf(165153912,plain,
big_f(f(A)),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel59,165139392]),
[] ).
cnf(165145832,plain,
( ~ big_f(A)
| ~ big_f(f(A)) ),
inference(rewrite,[status(thm)],[pel59_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[165153912,165145832,165153912]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel59,plain,(~big_f(A)|big_f(f(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN081+1.tptp',unknown),[]).
%
% fof(pel59_1,plain,(((~big_f(A)|~big_f(f(A)))&(big_f(A)|big_f(f(A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN081+1.tptp',unknown),[]).
%
% cnf(165139392,plain,(big_f(A)|big_f(f(A))),inference(rewrite,[status(thm)],[pel59_1]),[]).
%
% cnf(165153912,plain,(big_f(f(A))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel59,165139392]),[]).
%
% cnf(165145832,plain,(~big_f(A)|~big_f(f(A))),inference(rewrite,[status(thm)],[pel59_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[165153912,165145832,165153912]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------