TSTP Solution File: SYN082-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN082-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 16:42:38 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 37 ( 17 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 2 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_7,plain,
! [A] :
( ~ big_f(g(A),A)
| ~ big_f(a,A)
| big_f(a,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),
[] ).
fof(clause_4,plain,
! [A] :
( big_f(g(A),A)
| ~ big_f(a,A)
| big_f(a,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),
[] ).
cnf(173151112,plain,
( big_f(g(A),A)
| ~ big_f(a,A)
| big_f(a,b) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(173171664,plain,
( ~ big_f(a,A)
| big_f(a,b) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_7,173151112]),
[] ).
fof(clause_2,plain,
( big_f(a,f(a))
| big_f(a,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),
[] ).
cnf(173137256,plain,
( big_f(a,f(a))
| big_f(a,b) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(199263200,plain,
big_f(a,b),
inference(resolution,[status(thm)],[173171664,173137256]),
[] ).
fof(clause_1,plain,
! [A] :
( big_f(a,f(a))
| ~ big_f(A,b)
| big_f(A,f(a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),
[] ).
cnf(173132256,plain,
( big_f(a,f(a))
| ~ big_f(A,b)
| big_f(A,f(a)) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
fof(clause_8,plain,
! [A] :
( ~ big_f(g(A),A)
| ~ big_f(a,A)
| ~ big_f(a,f(a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),
[] ).
fof(clause_5,plain,
! [A] :
( big_f(g(A),A)
| ~ big_f(a,A)
| ~ big_f(a,f(a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),
[] ).
cnf(173154816,plain,
( big_f(g(A),A)
| ~ big_f(a,A)
| ~ big_f(a,f(a)) ),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
cnf(173175608,plain,
( ~ big_f(a,A)
| ~ big_f(a,f(a)) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_8,173154816]),
[] ).
cnf(199269360,plain,
~ big_f(a,f(a)),
inference(resolution,[status(thm)],[173175608,199263200]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[199263200,173132256,199269360]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(clause_7,plain,(~big_f(g(A),A)|~big_f(a,A)|big_f(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),[]).
%
% fof(clause_4,plain,(big_f(g(A),A)|~big_f(a,A)|big_f(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),[]).
%
% cnf(173151112,plain,(big_f(g(A),A)|~big_f(a,A)|big_f(a,b)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(173171664,plain,(~big_f(a,A)|big_f(a,b)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_7,173151112]),[]).
%
% fof(clause_2,plain,(big_f(a,f(a))|big_f(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),[]).
%
% cnf(173137256,plain,(big_f(a,f(a))|big_f(a,b)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(199263200,plain,(big_f(a,b)),inference(resolution,[status(thm)],[173171664,173137256]),[]).
%
% fof(clause_1,plain,(big_f(a,f(a))|~big_f(A,b)|big_f(A,f(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),[]).
%
% cnf(173132256,plain,(big_f(a,f(a))|~big_f(A,b)|big_f(A,f(a))),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% fof(clause_8,plain,(~big_f(g(A),A)|~big_f(a,A)|~big_f(a,f(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),[]).
%
% fof(clause_5,plain,(big_f(g(A),A)|~big_f(a,A)|~big_f(a,f(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082-1.tptp',unknown),[]).
%
% cnf(173154816,plain,(big_f(g(A),A)|~big_f(a,A)|~big_f(a,f(a))),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% cnf(173175608,plain,(~big_f(a,A)|~big_f(a,f(a))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_8,173154816]),[]).
%
% cnf(199269360,plain,(~big_f(a,f(a))),inference(resolution,[status(thm)],[173175608,199263200]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[199263200,173132256,199269360]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------