%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN233-1 : TPTP v3.4.2. Released v1.1.0.
% 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 17:18:40 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_13,plain,
r0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),
[] ).
cnf(153279768,plain,
r0(e),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
fof(rule_215,plain,
! [A,B] :
( l3(A,B)
| ~ r0(A)
| ~ p2(A,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),
[] ).
cnf(155946048,plain,
( l3(A,B)
| ~ r0(A)
| ~ p2(A,B,A) ),
inference(rewrite,[status(thm)],[rule_215]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),
[] ).
cnf(155194816,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/SYN233-1.tptp',unknown),
[] ).
cnf(153403824,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/SYN233-1.tptp',unknown),
[] ).
cnf(153213984,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(166745064,plain,
k1(e),
inference(resolution,[status(thm)],[153403824,153213984]),
[] ).
cnf(166870312,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[155194816,166745064]),
[] ).
cnf(169851648,plain,
l3(e,e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[153279768,155946048,166870312]),
[] ).
fof(prove_this,plain,
! [A] : ~ l3(e,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),
[] ).
cnf(157579112,plain,
~ l3(e,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[169851648,157579112]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_13,plain,(r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),[]).
%
% cnf(153279768,plain,(r0(e)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% fof(rule_215,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),[]).
%
% cnf(155946048,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),inference(rewrite,[status(thm)],[rule_215]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),[]).
%
% cnf(155194816,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),[]).
%
% cnf(153403824,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),[]).
%
% cnf(153213984,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(166745064,plain,(k1(e)),inference(resolution,[status(thm)],[153403824,153213984]),[]).
%
% cnf(166870312,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[155194816,166745064]),[]).
%
% cnf(169851648,plain,(l3(e,e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153279768,155946048,166870312]),[]).
%
% fof(prove_this,plain,(~l3(e,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN233-1.tptp',unknown),[]).
%
% cnf(157579112,plain,(~l3(e,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169851648,157579112]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------