%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN235-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 17:18:47 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 17 ( 2 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_215,plain,
! [A,B] :
( l3(A,B)
| ~ r0(A)
| ~ p2(A,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),
[] ).
cnf(181660696,plain,
( l3(A,B)
| ~ r0(A)
| ~ p2(A,B,A) ),
inference(rewrite,[status(thm)],[rule_215]),
[] ).
fof(axiom_13,plain,
r0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),
[] ).
cnf(178993616,plain,
r0(e),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
cnf(192008072,plain,
( l3(e,A)
| ~ p2(e,A,e) ),
inference(resolution,[status(thm)],[181660696,178993616]),
[] ).
fof(prove_this,plain,
~ l3(e,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),
[] ).
cnf(183293744,plain,
~ l3(e,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(194753216,plain,
~ p2(e,b,e),
inference(resolution,[status(thm)],[192008072,183293744]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),
[] ).
cnf(178997408,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(rule_029,plain,
! [A,B] :
( m1(A,B,A)
| ~ p0(A,B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),
[] ).
cnf(179413816,plain,
( m1(A,B,A)
| ~ p0(A,B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_029]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),
[] ).
cnf(178949608,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(191710400,plain,
m1(b,A,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178997408,179413816,178949608]),
[] ).
fof(rule_176,plain,
! [A,B] :
( p2(A,B,A)
| ~ m1(B,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),
[] ).
cnf(181130344,plain,
( p2(A,B,A)
| ~ m1(B,A,B) ),
inference(rewrite,[status(thm)],[rule_176]),
[] ).
cnf(198703560,plain,
p2(A,b,A),
inference(resolution,[status(thm)],[191710400,181130344]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[194753216,198703560]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_215,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),[]).
%
% cnf(181660696,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),inference(rewrite,[status(thm)],[rule_215]),[]).
%
% fof(axiom_13,plain,(r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),[]).
%
% cnf(178993616,plain,(r0(e)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% cnf(192008072,plain,(l3(e,A)|~p2(e,A,e)),inference(resolution,[status(thm)],[181660696,178993616]),[]).
%
% fof(prove_this,plain,(~l3(e,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),[]).
%
% cnf(183293744,plain,(~l3(e,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(194753216,plain,(~p2(e,b,e)),inference(resolution,[status(thm)],[192008072,183293744]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),[]).
%
% cnf(178997408,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(rule_029,plain,(m1(A,B,A)|~p0(A,B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),[]).
%
% cnf(179413816,plain,(m1(A,B,A)|~p0(A,B)|~s0(A)),inference(rewrite,[status(thm)],[rule_029]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),[]).
%
% cnf(178949608,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(191710400,plain,(m1(b,A,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178997408,179413816,178949608]),[]).
%
% fof(rule_176,plain,(p2(A,B,A)|~m1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN235-1.tptp',unknown),[]).
%
% cnf(181130344,plain,(p2(A,B,A)|~m1(B,A,B)),inference(rewrite,[status(thm)],[rule_176]),[]).
%
% cnf(198703560,plain,(p2(A,b,A)),inference(resolution,[status(thm)],[191710400,181130344]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[194753216,198703560]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------