TSTP Solution File: SYN311-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN311-1 : 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 17:48:36 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 17 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause4,plain,
! [A,B,C,D] :
( p(f(A),B,C,D)
| ~ p(A,B,C,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),
[] ).
cnf(160521120,plain,
( p(f(A),B,C,D)
| ~ p(A,B,C,D) ),
inference(rewrite,[status(thm)],[clause4]),
[] ).
fof(clause3,plain,
! [A,B,C,D] :
( p(A,B,C,g(D))
| ~ p(A,B,C,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),
[] ).
cnf(160515728,plain,
( p(A,B,C,g(D))
| ~ p(A,B,C,D) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
fof(clause2,plain,
! [A,B,C,D] :
( p(A,B,C,D)
| ~ p(D,C,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),
[] ).
cnf(160510472,plain,
( p(A,B,C,D)
| ~ p(D,C,B,A) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
fof(clause5,plain,
p(a,b,c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),
[] ).
cnf(160524736,plain,
p(a,b,c,d),
inference(rewrite,[status(thm)],[clause5]),
[] ).
cnf(181426944,plain,
p(d,c,b,a),
inference(resolution,[status(thm)],[160510472,160524736]),
[] ).
cnf(181901448,plain,
p(d,c,b,g(a)),
inference(resolution,[status(thm)],[160515728,181426944]),
[] ).
fof(clause1,plain,
! [A,B,C,D] :
( p(A,B,C,D)
| ~ p(B,C,D,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),
[] ).
cnf(160506192,plain,
( p(A,B,C,D)
| ~ p(B,C,D,A) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
cnf(182095960,plain,
p(g(a),d,c,b),
inference(resolution,[status(thm)],[181901448,160506192]),
[] ).
cnf(182308632,plain,
p(g(a),d,c,g(b)),
inference(resolution,[status(thm)],[182095960,160515728]),
[] ).
cnf(184312960,plain,
p(f(g(a)),d,c,g(b)),
inference(resolution,[status(thm)],[160521120,182308632]),
[] ).
fof(clause6,plain,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),
[] ).
cnf(160533856,plain,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
inference(rewrite,[status(thm)],[clause6]),
[] ).
cnf(187033616,plain,
~ p(g(d),f(g(c)),f(g(b)),f(g(a))),
inference(resolution,[status(thm)],[160521120,160533856]),
[] ).
cnf(187047952,plain,
~ p(f(g(c)),f(g(b)),f(g(a)),g(d)),
inference(resolution,[status(thm)],[160506192,187033616]),
[] ).
cnf(187113960,plain,
~ p(f(g(c)),f(g(b)),f(g(a)),d),
inference(resolution,[status(thm)],[160515728,187047952]),
[] ).
cnf(187180112,plain,
~ p(g(c),f(g(b)),f(g(a)),d),
inference(resolution,[status(thm)],[160521120,187113960]),
[] ).
cnf(187198544,plain,
~ p(f(g(b)),f(g(a)),d,g(c)),
inference(resolution,[status(thm)],[160506192,187180112]),
[] ).
cnf(187263552,plain,
~ p(f(g(b)),f(g(a)),d,c),
inference(resolution,[status(thm)],[160515728,187198544]),
[] ).
cnf(187326336,plain,
~ p(g(b),f(g(a)),d,c),
inference(resolution,[status(thm)],[160521120,187263552]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[184312960,160506192,187326336]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause4,plain,(p(f(A),B,C,D)|~p(A,B,C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),[]).
%
% cnf(160521120,plain,(p(f(A),B,C,D)|~p(A,B,C,D)),inference(rewrite,[status(thm)],[clause4]),[]).
%
% fof(clause3,plain,(p(A,B,C,g(D))|~p(A,B,C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),[]).
%
% cnf(160515728,plain,(p(A,B,C,g(D))|~p(A,B,C,D)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% fof(clause2,plain,(p(A,B,C,D)|~p(D,C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),[]).
%
% cnf(160510472,plain,(p(A,B,C,D)|~p(D,C,B,A)),inference(rewrite,[status(thm)],[clause2]),[]).
%
% fof(clause5,plain,(p(a,b,c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),[]).
%
% cnf(160524736,plain,(p(a,b,c,d)),inference(rewrite,[status(thm)],[clause5]),[]).
%
% cnf(181426944,plain,(p(d,c,b,a)),inference(resolution,[status(thm)],[160510472,160524736]),[]).
%
% cnf(181901448,plain,(p(d,c,b,g(a))),inference(resolution,[status(thm)],[160515728,181426944]),[]).
%
% fof(clause1,plain,(p(A,B,C,D)|~p(B,C,D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),[]).
%
% cnf(160506192,plain,(p(A,B,C,D)|~p(B,C,D,A)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% cnf(182095960,plain,(p(g(a),d,c,b)),inference(resolution,[status(thm)],[181901448,160506192]),[]).
%
% cnf(182308632,plain,(p(g(a),d,c,g(b))),inference(resolution,[status(thm)],[182095960,160515728]),[]).
%
% cnf(184312960,plain,(p(f(g(a)),d,c,g(b))),inference(resolution,[status(thm)],[160521120,182308632]),[]).
%
% fof(clause6,plain,(~p(f(g(d)),f(g(c)),f(g(b)),f(g(a)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN311-1.tptp',unknown),[]).
%
% cnf(160533856,plain,(~p(f(g(d)),f(g(c)),f(g(b)),f(g(a)))),inference(rewrite,[status(thm)],[clause6]),[]).
%
% cnf(187033616,plain,(~p(g(d),f(g(c)),f(g(b)),f(g(a)))),inference(resolution,[status(thm)],[160521120,160533856]),[]).
%
% cnf(187047952,plain,(~p(f(g(c)),f(g(b)),f(g(a)),g(d))),inference(resolution,[status(thm)],[160506192,187033616]),[]).
%
% cnf(187113960,plain,(~p(f(g(c)),f(g(b)),f(g(a)),d)),inference(resolution,[status(thm)],[160515728,187047952]),[]).
%
% cnf(187180112,plain,(~p(g(c),f(g(b)),f(g(a)),d)),inference(resolution,[status(thm)],[160521120,187113960]),[]).
%
% cnf(187198544,plain,(~p(f(g(b)),f(g(a)),d,g(c))),inference(resolution,[status(thm)],[160506192,187180112]),[]).
%
% cnf(187263552,plain,(~p(f(g(b)),f(g(a)),d,c)),inference(resolution,[status(thm)],[160515728,187198544]),[]).
%
% cnf(187326336,plain,(~p(g(b),f(g(a)),d,c)),inference(resolution,[status(thm)],[160521120,187263552]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[184312960,160506192,187326336]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------