TSTP Solution File: SYN085-1.010 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN085-1.010 : TPTP v3.4.2. Released v1.0.0.
% 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 16:42:52 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (  24 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives :   42 (  22   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   12 (  11 usr;  12 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(s1_11,plain,
    p_10,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152773416,plain,
    p_10,
    inference(rewrite,[status(thm)],[s1_11]),
    [] ).

fof(s1_3,plain,
    p_2,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152730040,plain,
    p_2,
    inference(rewrite,[status(thm)],[s1_3]),
    [] ).

fof(s1_4,plain,
    p_3,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152735096,plain,
    p_3,
    inference(rewrite,[status(thm)],[s1_4]),
    [] ).

fof(s1_5,plain,
    p_4,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152740088,plain,
    p_4,
    inference(rewrite,[status(thm)],[s1_5]),
    [] ).

fof(s1_6,plain,
    p_5,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152745040,plain,
    p_5,
    inference(rewrite,[status(thm)],[s1_6]),
    [] ).

fof(s1_7,plain,
    p_6,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152754096,plain,
    p_6,
    inference(rewrite,[status(thm)],[s1_7]),
    [] ).

fof(s1_8,plain,
    p_7,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152758944,plain,
    p_7,
    inference(rewrite,[status(thm)],[s1_8]),
    [] ).

fof(s1_9,plain,
    p_8,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152763792,plain,
    p_8,
    inference(rewrite,[status(thm)],[s1_9]),
    [] ).

fof(s1_10,plain,
    p_9,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152768632,plain,
    p_9,
    inference(rewrite,[status(thm)],[s1_10]),
    [] ).

fof(s1_1,plain,
    ( p_0
    | ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | ~ p_10 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152715216,plain,
    ( p_0
    | ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5
    | ~ p_6
    | ~ p_7
    | ~ p_8
    | ~ p_9
    | ~ p_10 ),
    inference(rewrite,[status(thm)],[s1_1]),
    [] ).

fof(s1_2,plain,
    p_1,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152724952,plain,
    p_1,
    inference(rewrite,[status(thm)],[s1_2]),
    [] ).

cnf(160616200,plain,
    p_0,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152773416,152730040,152735096,152740088,152745040,152754096,152758944,152763792,152768632,152715216,152724952]),
    [] ).

fof(s1_goal_1,plain,
    ~ p_0,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),
    [] ).

cnf(152693088,plain,
    ~ p_0,
    inference(rewrite,[status(thm)],[s1_goal_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[160616200,152693088]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(s1_11,plain,(p_10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152773416,plain,(p_10),inference(rewrite,[status(thm)],[s1_11]),[]).
% 
% fof(s1_3,plain,(p_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152730040,plain,(p_2),inference(rewrite,[status(thm)],[s1_3]),[]).
% 
% fof(s1_4,plain,(p_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152735096,plain,(p_3),inference(rewrite,[status(thm)],[s1_4]),[]).
% 
% fof(s1_5,plain,(p_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152740088,plain,(p_4),inference(rewrite,[status(thm)],[s1_5]),[]).
% 
% fof(s1_6,plain,(p_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152745040,plain,(p_5),inference(rewrite,[status(thm)],[s1_6]),[]).
% 
% fof(s1_7,plain,(p_6),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152754096,plain,(p_6),inference(rewrite,[status(thm)],[s1_7]),[]).
% 
% fof(s1_8,plain,(p_7),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152758944,plain,(p_7),inference(rewrite,[status(thm)],[s1_8]),[]).
% 
% fof(s1_9,plain,(p_8),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152763792,plain,(p_8),inference(rewrite,[status(thm)],[s1_9]),[]).
% 
% fof(s1_10,plain,(p_9),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152768632,plain,(p_9),inference(rewrite,[status(thm)],[s1_10]),[]).
% 
% fof(s1_1,plain,(p_0|~p_1|~p_2|~p_3|~p_4|~p_5|~p_6|~p_7|~p_8|~p_9|~p_10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152715216,plain,(p_0|~p_1|~p_2|~p_3|~p_4|~p_5|~p_6|~p_7|~p_8|~p_9|~p_10),inference(rewrite,[status(thm)],[s1_1]),[]).
% 
% fof(s1_2,plain,(p_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152724952,plain,(p_1),inference(rewrite,[status(thm)],[s1_2]),[]).
% 
% cnf(160616200,plain,(p_0),inference(forward_subsumption_resolution__resolution,[status(thm)],[152773416,152730040,152735096,152740088,152745040,152754096,152758944,152763792,152768632,152715216,152724952]),[]).
% 
% fof(s1_goal_1,plain,(~p_0),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN085-1.010.tptp',unknown),[]).
% 
% cnf(152693088,plain,(~p_0),inference(rewrite,[status(thm)],[s1_goal_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160616200,152693088]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------