%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN154-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:00:01 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 3 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ n3(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),
[] ).
cnf(184093232,plain,
~ n3(e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),
[] ).
cnf(181708976,plain,
( p2(A,A,A)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_159]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),
[] ).
cnf(179917192,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),
[] ).
cnf(179727352,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(193374344,plain,
k1(e),
inference(resolution,[status(thm)],[179917192,179727352]),
[] ).
cnf(193514832,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[181708976,193374344]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),
[] ).
cnf(182816464,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(197709472,plain,
n3(e),
inference(resolution,[status(thm)],[193514832,182816464]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[184093232,197709472]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~n3(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),[]).
%
% cnf(184093232,plain,(~n3(e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),[]).
%
% cnf(181708976,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),[]).
%
% cnf(179917192,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),[]).
%
% cnf(179727352,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(193374344,plain,(k1(e)),inference(resolution,[status(thm)],[179917192,179727352]),[]).
%
% cnf(193514832,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[181708976,193374344]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN154-1.tptp',unknown),[]).
%
% cnf(182816464,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(197709472,plain,(n3(e)),inference(resolution,[status(thm)],[193514832,182816464]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[184093232,197709472]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------