TSTP Solution File: SYN058-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN058-1 : 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 16:39:50 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   10 (   4 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_6,plain,
    ! [A,B] :
      ( ~ big_s(A)
      | ~ big_f(B)
      | big_g(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
    [] ).

cnf(161837552,plain,
    ( ~ big_s(A)
    | ~ big_f(B)
    | big_g(B) ),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

fof(clause_3,plain,
    ( ~ big_q(b)
    | big_s(c) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
    [] ).

cnf(161803408,plain,
    ( ~ big_q(b)
    | big_s(c) ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

fof(clause_1,plain,
    ! [A,B] :
      ( ~ big_p(A)
      | big_q(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
    [] ).

cnf(161791768,plain,
    ( ~ big_p(A)
    | big_q(B) ),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

fof(clause_7,plain,
    big_p(d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
    [] ).

cnf(161842504,plain,
    big_p(d),
    inference(rewrite,[status(thm)],[clause_7]),
    [] ).

cnf(174924560,plain,
    big_q(A),
    inference(resolution,[status(thm)],[161791768,161842504]),
    [] ).

cnf(174936376,plain,
    big_s(c),
    inference(resolution,[status(thm)],[161803408,174924560]),
    [] ).

cnf(174943544,plain,
    ( ~ big_f(A)
    | big_g(A) ),
    inference(resolution,[status(thm)],[161837552,174936376]),
    [] ).

fof(clause_8,plain,
    big_f(d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
    [] ).

cnf(161847328,plain,
    big_f(d),
    inference(rewrite,[status(thm)],[clause_8]),
    [] ).

cnf(174948968,plain,
    big_g(d),
    inference(resolution,[status(thm)],[174943544,161847328]),
    [] ).

fof(clause_9,plain,
    ~ big_g(d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),
    [] ).

cnf(161852176,plain,
    ~ big_g(d),
    inference(rewrite,[status(thm)],[clause_9]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[174948968,161852176]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_6,plain,(~big_s(A)|~big_f(B)|big_g(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
% 
% cnf(161837552,plain,(~big_s(A)|~big_f(B)|big_g(B)),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% fof(clause_3,plain,(~big_q(b)|big_s(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
% 
% cnf(161803408,plain,(~big_q(b)|big_s(c)),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% fof(clause_1,plain,(~big_p(A)|big_q(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
% 
% cnf(161791768,plain,(~big_p(A)|big_q(B)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% fof(clause_7,plain,(big_p(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
% 
% cnf(161842504,plain,(big_p(d)),inference(rewrite,[status(thm)],[clause_7]),[]).
% 
% cnf(174924560,plain,(big_q(A)),inference(resolution,[status(thm)],[161791768,161842504]),[]).
% 
% cnf(174936376,plain,(big_s(c)),inference(resolution,[status(thm)],[161803408,174924560]),[]).
% 
% cnf(174943544,plain,(~big_f(A)|big_g(A)),inference(resolution,[status(thm)],[161837552,174936376]),[]).
% 
% fof(clause_8,plain,(big_f(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
% 
% cnf(161847328,plain,(big_f(d)),inference(rewrite,[status(thm)],[clause_8]),[]).
% 
% cnf(174948968,plain,(big_g(d)),inference(resolution,[status(thm)],[174943544,161847328]),[]).
% 
% fof(clause_9,plain,(~big_g(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058-1.tptp',unknown),[]).
% 
% cnf(161852176,plain,(~big_g(d)),inference(rewrite,[status(thm)],[clause_9]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174948968,161852176]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------