%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN134-1 : 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 16:54:15 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 5 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),
[] ).
cnf(153322448,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
fof(rule_135,plain,
! [A,B,C] :
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),
[] ).
cnf(154988296,plain,
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
inference(rewrite,[status(thm)],[rule_135]),
[] ).
fof(prove_this,plain,
~ m2(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),
[] ).
cnf(157706880,plain,
~ m2(d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(168401984,plain,
~ l1(A,B),
inference(forward_subsumption_resolution__resolution,[status(thm)],[153322448,154988296,157706880]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),
[] ).
cnf(153544216,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),
[] ).
cnf(153340920,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(166897752,plain,
l1(e,e),
inference(resolution,[status(thm)],[153544216,153340920]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[168401984,166897752]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),[]).
%
% cnf(153322448,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% fof(rule_135,plain,(m2(A)|~s0(A)|~l1(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),[]).
%
% cnf(154988296,plain,(m2(A)|~s0(A)|~l1(B,C)),inference(rewrite,[status(thm)],[rule_135]),[]).
%
% fof(prove_this,plain,(~m2(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),[]).
%
% cnf(157706880,plain,(~m2(d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(168401984,plain,(~l1(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153322448,154988296,157706880]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),[]).
%
% cnf(153544216,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN134-1.tptp',unknown),[]).
%
% cnf(153340920,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(166897752,plain,(l1(e,e)),inference(resolution,[status(thm)],[153544216,153340920]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168401984,166897752]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------