%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN057-1 : TPTP v3.4.2. Released v1.0.0.
% 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 16:39:44 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_7,plain,
big_i(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),
[] ).
cnf(172254336,plain,
big_i(b),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
fof(clause_4,plain,
! [A] :
( ~ big_j(A)
| ~ big_i(A)
| big_f(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),
[] ).
cnf(172230880,plain,
( ~ big_j(A)
| ~ big_i(A)
| big_f(A) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
fof(clause_6,plain,
big_j(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),
[] ).
cnf(172249544,plain,
big_j(b),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
cnf(182682552,plain,
big_f(b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172254336,172230880,172249544]),
[] ).
fof(clause_3,plain,
! [A] :
( ~ big_f(A)
| big_h(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),
[] ).
cnf(172222648,plain,
( ~ big_f(A)
| big_h(A) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
fof(clause_1,plain,
big_f(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),
[] ).
cnf(172211248,plain,
big_f(a),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(182674616,plain,
big_h(a),
inference(resolution,[status(thm)],[172222648,172211248]),
[] ).
fof(clause_5,plain,
! [A,B] :
( ~ big_h(A)
| big_g(A)
| ~ big_i(B)
| ~ big_h(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),
[] ).
cnf(172240776,plain,
( ~ big_h(A)
| big_g(A)
| ~ big_i(B)
| ~ big_h(B) ),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
fof(clause_2,plain,
~ big_g(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),
[] ).
cnf(172216080,plain,
~ big_g(a),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(182711312,plain,
( ~ big_i(A)
| ~ big_h(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182674616,172240776,172216080]),
[] ).
cnf(182716008,plain,
~ big_h(b),
inference(resolution,[status(thm)],[182711312,172254336]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[182682552,172222648,182716008]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_7,plain,(big_i(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),[]).
%
% cnf(172254336,plain,(big_i(b)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% fof(clause_4,plain,(~big_j(A)|~big_i(A)|big_f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),[]).
%
% cnf(172230880,plain,(~big_j(A)|~big_i(A)|big_f(A)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% fof(clause_6,plain,(big_j(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),[]).
%
% cnf(172249544,plain,(big_j(b)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% cnf(182682552,plain,(big_f(b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172254336,172230880,172249544]),[]).
%
% fof(clause_3,plain,(~big_f(A)|big_h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),[]).
%
% cnf(172222648,plain,(~big_f(A)|big_h(A)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% fof(clause_1,plain,(big_f(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),[]).
%
% cnf(172211248,plain,(big_f(a)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(182674616,plain,(big_h(a)),inference(resolution,[status(thm)],[172222648,172211248]),[]).
%
% fof(clause_5,plain,(~big_h(A)|big_g(A)|~big_i(B)|~big_h(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),[]).
%
% cnf(172240776,plain,(~big_h(A)|big_g(A)|~big_i(B)|~big_h(B)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% fof(clause_2,plain,(~big_g(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057-1.tptp',unknown),[]).
%
% cnf(172216080,plain,(~big_g(a)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(182711312,plain,(~big_i(A)|~big_h(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182674616,172240776,172216080]),[]).
%
% cnf(182716008,plain,(~big_h(b)),inference(resolution,[status(thm)],[182711312,172254336]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[182682552,172222648,182716008]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------