%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN054-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 16:39:31 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  14   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   1 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_2,plain,
    ! [A] :
      ( ~ big_p(A)
      | big_q(A)
      | big_r(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),
    [] ).

cnf(150059312,plain,
    ( ~ big_p(A)
    | big_q(A)
    | big_r(A) ),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

fof(clause_4,plain,
    ! [A] :
      ( ~ big_q(A)
      | big_s(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),
    [] ).

cnf(150072296,plain,
    ( ~ big_q(A)
    | big_s(A) ),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

fof(clause_3,plain,
    ( big_p(a)
    | big_q(b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),
    [] ).

cnf(150065752,plain,
    ( big_p(a)
    | big_q(b) ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(160496744,plain,
    ( big_s(b)
    | big_p(a) ),
    inference(resolution,[status(thm)],[150072296,150065752]),
    [] ).

fof(clause_1,plain,
    ! [A] :
      ( ~ big_s(A)
      | ~ big_q(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),
    [] ).

cnf(150051064,plain,
    ( ~ big_s(A)
    | ~ big_q(A) ),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(160501472,plain,
    big_p(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[160496744,150051064,150065752]),
    [] ).

cnf(160532256,plain,
    ( big_q(a)
    | big_r(a) ),
    inference(resolution,[status(thm)],[150059312,160501472]),
    [] ).

cnf(160506912,plain,
    ~ big_q(A),
    inference(resolution,[status(thm)],[150051064,150072296]),
    [] ).

cnf(160542992,plain,
    big_r(a),
    inference(resolution,[status(thm)],[160532256,160506912]),
    [] ).

fof(clause_6,plain,
    ! [A] :
      ( ~ big_p(A)
      | ~ big_r(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),
    [] ).

cnf(150083200,plain,
    ( ~ big_p(A)
    | ~ big_r(A) ),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

cnf(160520272,plain,
    ~ big_r(a),
    inference(resolution,[status(thm)],[150083200,160501472]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[160542992,160520272]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_2,plain,(~big_p(A)|big_q(A)|big_r(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),[]).
% 
% cnf(150059312,plain,(~big_p(A)|big_q(A)|big_r(A)),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% fof(clause_4,plain,(~big_q(A)|big_s(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),[]).
% 
% cnf(150072296,plain,(~big_q(A)|big_s(A)),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% fof(clause_3,plain,(big_p(a)|big_q(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),[]).
% 
% cnf(150065752,plain,(big_p(a)|big_q(b)),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(160496744,plain,(big_s(b)|big_p(a)),inference(resolution,[status(thm)],[150072296,150065752]),[]).
% 
% fof(clause_1,plain,(~big_s(A)|~big_q(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),[]).
% 
% cnf(150051064,plain,(~big_s(A)|~big_q(A)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(160501472,plain,(big_p(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[160496744,150051064,150065752]),[]).
% 
% cnf(160532256,plain,(big_q(a)|big_r(a)),inference(resolution,[status(thm)],[150059312,160501472]),[]).
% 
% cnf(160506912,plain,(~big_q(A)),inference(resolution,[status(thm)],[150051064,150072296]),[]).
% 
% cnf(160542992,plain,(big_r(a)),inference(resolution,[status(thm)],[160532256,160506912]),[]).
% 
% fof(clause_6,plain,(~big_p(A)|~big_r(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054-1.tptp',unknown),[]).
% 
% cnf(150083200,plain,(~big_p(A)|~big_r(A)),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% cnf(160520272,plain,(~big_r(a)),inference(resolution,[status(thm)],[150083200,160501472]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160542992,160520272]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------