TSTP Solution File: SYN061+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN061+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 16:40:02 EDT 2009
% Result : Theorem 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 7 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel31_2,plain,
( big_i(x)
& big_f(x) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),
[] ).
cnf(159311752,plain,
big_i(x),
inference(rewrite,[status(thm)],[pel31_2]),
[] ).
fof(pel31,plain,
! [A] :
( ~ big_i(A)
| ~ big_j(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),
[] ).
cnf(159347816,plain,
( ~ big_i(A)
| ~ big_j(A) ),
inference(rewrite,[status(thm)],[pel31]),
[] ).
fof(pel31_3,plain,
! [A] :
( big_h(A)
| big_j(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),
[] ).
cnf(159318248,plain,
( big_h(A)
| big_j(A) ),
inference(rewrite,[status(thm)],[pel31_3]),
[] ).
fof(pel31_1,plain,
! [A] :
( ( ~ big_h(A)
| ~ big_f(A) )
& ( ~ big_g(A)
| ~ big_f(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),
[] ).
cnf(159293840,plain,
( ~ big_h(A)
| ~ big_f(A) ),
inference(rewrite,[status(thm)],[pel31_1]),
[] ).
cnf(159302792,plain,
big_f(x),
inference(rewrite,[status(thm)],[pel31_2]),
[] ).
cnf(167157288,plain,
~ big_h(x),
inference(resolution,[status(thm)],[159293840,159302792]),
[] ).
cnf(167175720,plain,
big_j(x),
inference(resolution,[status(thm)],[159318248,167157288]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[159311752,159347816,167175720]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel31_2,plain,((big_i(x)&big_f(x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),[]).
%
% cnf(159311752,plain,(big_i(x)),inference(rewrite,[status(thm)],[pel31_2]),[]).
%
% fof(pel31,plain,(~big_i(A)|~big_j(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),[]).
%
% cnf(159347816,plain,(~big_i(A)|~big_j(A)),inference(rewrite,[status(thm)],[pel31]),[]).
%
% fof(pel31_3,plain,(big_h(A)|big_j(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),[]).
%
% cnf(159318248,plain,(big_h(A)|big_j(A)),inference(rewrite,[status(thm)],[pel31_3]),[]).
%
% fof(pel31_1,plain,(((~big_h(A)|~big_f(A))&(~big_g(A)|~big_f(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),[]).
%
% cnf(159293840,plain,(~big_h(A)|~big_f(A)),inference(rewrite,[status(thm)],[pel31_1]),[]).
%
% cnf(159302792,plain,(big_f(x)),inference(rewrite,[status(thm)],[pel31_2]),[]).
%
% cnf(167157288,plain,(~big_h(x)),inference(resolution,[status(thm)],[159293840,159302792]),[]).
%
% cnf(167175720,plain,(big_j(x)),inference(resolution,[status(thm)],[159318248,167157288]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[159311752,159347816,167175720]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------