%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN186-1 : 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 17:09:58 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   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; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   2 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_097,plain,
    ! [A] :
      ( q1(A,A,A)
      | ~ s0(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),
    [] ).

cnf(150990160,plain,
    ( q1(A,A,A)
    | ~ s0(A) ),
    inference(rewrite,[status(thm)],[rule_097]),
    [] ).

fof(axiom_1,plain,
    s0(d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),
    [] ).

cnf(149717968,plain,
    s0(d),
    inference(rewrite,[status(thm)],[axiom_1]),
    [] ).

cnf(162400152,plain,
    q1(d,d,d),
    inference(resolution,[status(thm)],[150990160,149717968]),
    [] ).

fof(rule_124,plain,
    ! [A,B] :
      ( r1(A)
      | ~ q0(A,B)
      | ~ s0(d)
      | ~ q1(d,B,d) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),
    [] ).

cnf(151221080,plain,
    ( r1(A)
    | ~ q0(A,B)
    | ~ q1(d,B,d) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,149717968]),
    [] ).

fof(axiom_17,plain,
    ! [A] : q0(A,d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),
    [] ).

cnf(149821304,plain,
    q0(A,d),
    inference(rewrite,[status(thm)],[axiom_17]),
    [] ).

cnf(164387656,plain,
    r1(A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162400152,151221080,149821304]),
    [] ).

fof(prove_this,plain,
    ~ r1(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),
    [] ).

cnf(154102896,plain,
    ~ r1(a),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[164387656,154102896]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),[]).
% 
% cnf(150990160,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
% 
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),[]).
% 
% cnf(149717968,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
% 
% cnf(162400152,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[150990160,149717968]),[]).
% 
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),[]).
% 
% cnf(151221080,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,149717968]),[]).
% 
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),[]).
% 
% cnf(149821304,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
% 
% cnf(164387656,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162400152,151221080,149821304]),[]).
% 
% fof(prove_this,plain,(~r1(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN186-1.tptp',unknown),[]).
% 
% cnf(154102896,plain,(~r1(a)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164387656,154102896]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------