TSTP Solution File: SYN310-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN310-1 : TPTP v3.4.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 17:48:34 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause5,plain,
~ p(a,b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),
[] ).
cnf(162123992,plain,
~ p(a,b,c),
inference(rewrite,[status(thm)],[clause5]),
[] ).
fof(clause2,plain,
! [A,B,C] :
( ~ p(A,B,C)
| p(B,A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),
[] ).
cnf(162109568,plain,
( ~ p(A,B,C)
| p(B,A,C) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
fof(clause1,plain,
! [A,B,C] :
( ~ p(A,B,C)
| p(C,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),
[] ).
cnf(162105432,plain,
( ~ p(A,B,C)
| p(C,B,A) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
fof(clause3,plain,
! [A,B,C] :
( ~ p(A,B,g(C))
| p(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),
[] ).
cnf(162114856,plain,
( ~ p(A,B,g(C))
| p(A,B,C) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
fof(clause4,plain,
! [A,B,C] :
( ~ p(f(A),B,C)
| p(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),
[] ).
cnf(162120304,plain,
( ~ p(f(A),B,C)
| p(A,B,C) ),
inference(rewrite,[status(thm)],[clause4]),
[] ).
cnf(183432024,plain,
( p(A,B,C)
| ~ p(g(C),B,A) ),
inference(resolution,[status(thm)],[162114856,162105432]),
[] ).
fof(clause6,plain,
p(f(g(a)),f(g(b)),f(g(c))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),
[] ).
cnf(162132936,plain,
p(f(g(a)),f(g(b)),f(g(c))),
inference(rewrite,[status(thm)],[clause6]),
[] ).
cnf(183334336,plain,
p(g(a),f(g(b)),f(g(c))),
inference(resolution,[status(thm)],[162120304,162132936]),
[] ).
cnf(190171448,plain,
p(f(g(c)),f(g(b)),a),
inference(resolution,[status(thm)],[183432024,183334336]),
[] ).
cnf(192093624,plain,
p(g(c),f(g(b)),a),
inference(resolution,[status(thm)],[162120304,190171448]),
[] ).
cnf(192037624,plain,
p(a,f(g(b)),g(c)),
inference(resolution,[status(thm)],[162105432,192093624]),
[] ).
cnf(192119232,plain,
p(a,f(g(b)),c),
inference(resolution,[status(thm)],[162114856,192037624]),
[] ).
cnf(192129616,plain,
p(f(g(b)),a,c),
inference(resolution,[status(thm)],[162109568,192119232]),
[] ).
cnf(192149976,plain,
p(g(b),a,c),
inference(resolution,[status(thm)],[162120304,192129616]),
[] ).
cnf(192097360,plain,
p(c,a,g(b)),
inference(resolution,[status(thm)],[162105432,192149976]),
[] ).
cnf(192171392,plain,
p(c,a,b),
inference(resolution,[status(thm)],[162114856,192097360]),
[] ).
cnf(192177400,plain,
p(b,a,c),
inference(resolution,[status(thm)],[162105432,192171392]),
[] ).
cnf(192193304,plain,
p(a,b,c),
inference(resolution,[status(thm)],[162109568,192177400]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[162123992,192193304]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause5,plain,(~p(a,b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),[]).
%
% cnf(162123992,plain,(~p(a,b,c)),inference(rewrite,[status(thm)],[clause5]),[]).
%
% fof(clause2,plain,(~p(A,B,C)|p(B,A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),[]).
%
% cnf(162109568,plain,(~p(A,B,C)|p(B,A,C)),inference(rewrite,[status(thm)],[clause2]),[]).
%
% fof(clause1,plain,(~p(A,B,C)|p(C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),[]).
%
% cnf(162105432,plain,(~p(A,B,C)|p(C,B,A)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% fof(clause3,plain,(~p(A,B,g(C))|p(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),[]).
%
% cnf(162114856,plain,(~p(A,B,g(C))|p(A,B,C)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% fof(clause4,plain,(~p(f(A),B,C)|p(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),[]).
%
% cnf(162120304,plain,(~p(f(A),B,C)|p(A,B,C)),inference(rewrite,[status(thm)],[clause4]),[]).
%
% cnf(183432024,plain,(p(A,B,C)|~p(g(C),B,A)),inference(resolution,[status(thm)],[162114856,162105432]),[]).
%
% fof(clause6,plain,(p(f(g(a)),f(g(b)),f(g(c)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN310-1.tptp',unknown),[]).
%
% cnf(162132936,plain,(p(f(g(a)),f(g(b)),f(g(c)))),inference(rewrite,[status(thm)],[clause6]),[]).
%
% cnf(183334336,plain,(p(g(a),f(g(b)),f(g(c)))),inference(resolution,[status(thm)],[162120304,162132936]),[]).
%
% cnf(190171448,plain,(p(f(g(c)),f(g(b)),a)),inference(resolution,[status(thm)],[183432024,183334336]),[]).
%
% cnf(192093624,plain,(p(g(c),f(g(b)),a)),inference(resolution,[status(thm)],[162120304,190171448]),[]).
%
% cnf(192037624,plain,(p(a,f(g(b)),g(c))),inference(resolution,[status(thm)],[162105432,192093624]),[]).
%
% cnf(192119232,plain,(p(a,f(g(b)),c)),inference(resolution,[status(thm)],[162114856,192037624]),[]).
%
% cnf(192129616,plain,(p(f(g(b)),a,c)),inference(resolution,[status(thm)],[162109568,192119232]),[]).
%
% cnf(192149976,plain,(p(g(b),a,c)),inference(resolution,[status(thm)],[162120304,192129616]),[]).
%
% cnf(192097360,plain,(p(c,a,g(b))),inference(resolution,[status(thm)],[162105432,192149976]),[]).
%
% cnf(192171392,plain,(p(c,a,b)),inference(resolution,[status(thm)],[162114856,192097360]),[]).
%
% cnf(192177400,plain,(p(b,a,c)),inference(resolution,[status(thm)],[162105432,192171392]),[]).
%
% cnf(192193304,plain,(p(a,b,c)),inference(resolution,[status(thm)],[162109568,192177400]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162123992,192193304]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------