%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN296-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:47:08 EDT 2009
% Result : Unsatisfiable 0.8s
% Output : Refutation 0.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 4 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_092,plain,
! [A,B,C,D] :
( q1(A,B,A)
| ~ n0(C,B)
| ~ p0(D,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN296-1.tptp',unknown),
[] ).
cnf(166926824,plain,
( q1(A,B,A)
| ~ n0(C,B)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_092]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN296-1.tptp',unknown),
[] ).
cnf(165772096,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(194177128,plain,
( q1(A,b,A)
| ~ p0(B,A) ),
inference(resolution,[status(thm)],[166926824,165772096]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN296-1.tptp',unknown),
[] ).
cnf(165812408,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(194204336,plain,
q1(A,b,A),
inference(resolution,[status(thm)],[194177128,165812408]),
[] ).
fof(prove_this,plain,
~ q1(e,b,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN296-1.tptp',unknown),
[] ).
cnf(170109408,plain,
~ q1(e,b,e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[194204336,170109408]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_092,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN296-1.tptp',unknown),[]).
%
% cnf(166926824,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_092]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN296-1.tptp',unknown),[]).
%
% cnf(165772096,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(194177128,plain,(q1(A,b,A)|~p0(B,A)),inference(resolution,[status(thm)],[166926824,165772096]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN296-1.tptp',unknown),[]).
%
% cnf(165812408,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(194204336,plain,(q1(A,b,A)),inference(resolution,[status(thm)],[194177128,165812408]),[]).
%
% fof(prove_this,plain,(~q1(e,b,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN296-1.tptp',unknown),[]).
%
% cnf(170109408,plain,(~q1(e,b,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[194204336,170109408]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------