%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN247-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 17:24:58 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (  12 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (   7 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ! [A,B] : ~ m1(d,A,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),
    [] ).

cnf(169338832,plain,
    ~ m1(d,A,B),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_007,plain,
    ! [A,B,C] :
      ( m1(A,B,A)
      | ~ p0(C,B)
      | ~ r0(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),
    [] ).

cnf(165247776,plain,
    ( m1(A,B,A)
    | ~ p0(C,B)
    | ~ r0(A) ),
    inference(rewrite,[status(thm)],[rule_007]),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),
    [] ).

cnf(165044064,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(179001680,plain,
    ( m1(A,B,A)
    | ~ r0(A) ),
    inference(resolution,[status(thm)],[165247776,165044064]),
    [] ).

fof(axiom_9,plain,
    r0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),
    [] ).

cnf(165016120,plain,
    r0(b),
    inference(rewrite,[status(thm)],[axiom_9]),
    [] ).

cnf(179006120,plain,
    m1(b,A,b),
    inference(resolution,[status(thm)],[179001680,165016120]),
    [] ).

fof(rule_024,plain,
    ! [A,B,C] :
      ( m1(A,a,B)
      | ~ m0(a,C,a)
      | ~ q0(A,B)
      | ~ m1(B,c,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),
    [] ).

fof(axiom_12,plain,
    ! [A] : m0(a,A,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),
    [] ).

cnf(165036464,plain,
    m0(a,A,a),
    inference(rewrite,[status(thm)],[axiom_12]),
    [] ).

cnf(165422408,plain,
    ( m1(A,a,B)
    | ~ q0(A,B)
    | ~ m1(B,c,B) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_024,165036464]),
    [] ).

fof(axiom_29,plain,
    q0(d,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),
    [] ).

cnf(165120640,plain,
    q0(d,b),
    inference(rewrite,[status(thm)],[axiom_29]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[169338832,179006120,165422408,165120640]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~m1(d,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),[]).
% 
% cnf(169338832,plain,(~m1(d,A,B)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_007,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),[]).
% 
% cnf(165247776,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),inference(rewrite,[status(thm)],[rule_007]),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),[]).
% 
% cnf(165044064,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(179001680,plain,(m1(A,B,A)|~r0(A)),inference(resolution,[status(thm)],[165247776,165044064]),[]).
% 
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),[]).
% 
% cnf(165016120,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
% 
% cnf(179006120,plain,(m1(b,A,b)),inference(resolution,[status(thm)],[179001680,165016120]),[]).
% 
% fof(rule_024,plain,(m1(A,a,B)|~m0(a,C,a)|~q0(A,B)|~m1(B,c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),[]).
% 
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),[]).
% 
% cnf(165036464,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
% 
% cnf(165422408,plain,(m1(A,a,B)|~q0(A,B)|~m1(B,c,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_024,165036464]),[]).
% 
% fof(axiom_29,plain,(q0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN247-1.tptp',unknown),[]).
% 
% cnf(165120640,plain,(q0(d,b)),inference(rewrite,[status(thm)],[axiom_29]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[169338832,179006120,165422408,165120640]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------