TSTP Solution File: SYN010-1.005.005 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN010-1.005.005 : TPTP v3.4.2. Released v1.0.0.
% 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 16:37:46 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   76 (  34 unt;   0 def)
%            Number of atoms       :  286 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  422 ( 212   ~; 210   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   27 (  26 usr;  27 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(clause_24,plain,
    p_5_2,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151218952,plain,
    p_5_2,
    inference(rewrite,[status(thm)],[clause_24]),
    [] ).

fof(clause_25,plain,
    p_5_3,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151224312,plain,
    p_5_3,
    inference(rewrite,[status(thm)],[clause_25]),
    [] ).

fof(clause_26,plain,
    p_5_4,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151229640,plain,
    p_5_4,
    inference(rewrite,[status(thm)],[clause_26]),
    [] ).

fof(clause_27,plain,
    p_5_5,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151239024,plain,
    p_5_5,
    inference(rewrite,[status(thm)],[clause_27]),
    [] ).

fof(clause_19,plain,
    ( p_4_2
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151154280,plain,
    ( p_4_2
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    inference(rewrite,[status(thm)],[clause_19]),
    [] ).

fof(clause_23,plain,
    p_5_1,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151209488,plain,
    p_5_1,
    inference(rewrite,[status(thm)],[clause_23]),
    [] ).

cnf(229215288,plain,
    p_4_2,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151154280,151209488]),
    [] ).

fof(clause_20,plain,
    ( p_4_3
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151172352,plain,
    ( p_4_3
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    inference(rewrite,[status(thm)],[clause_20]),
    [] ).

cnf(229220552,plain,
    p_4_3,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151172352,151209488]),
    [] ).

fof(clause_21,plain,
    ( p_4_4
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151186168,plain,
    ( p_4_4
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    inference(rewrite,[status(thm)],[clause_21]),
    [] ).

cnf(229229920,plain,
    p_4_4,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151186168,151209488]),
    [] ).

fof(clause_22,plain,
    ( p_4_5
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151204040,plain,
    ( p_4_5
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    inference(rewrite,[status(thm)],[clause_22]),
    [] ).

cnf(229239248,plain,
    p_4_5,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151204040,151209488]),
    [] ).

fof(clause_14,plain,
    ( p_3_2
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151075992,plain,
    ( p_3_2
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    inference(rewrite,[status(thm)],[clause_14]),
    [] ).

fof(clause_18,plain,
    ( p_4_1
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151140080,plain,
    ( p_4_1
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    inference(rewrite,[status(thm)],[clause_18]),
    [] ).

cnf(229201848,plain,
    p_4_1,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151140080,151209488]),
    [] ).

cnf(229254152,plain,
    p_3_2,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151075992,229201848]),
    [] ).

fof(clause_15,plain,
    ( p_3_3
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151090000,plain,
    ( p_3_3
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    inference(rewrite,[status(thm)],[clause_15]),
    [] ).

cnf(229259560,plain,
    p_3_3,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151090000,229201848]),
    [] ).

fof(clause_16,plain,
    ( p_3_4
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151108064,plain,
    ( p_3_4
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    inference(rewrite,[status(thm)],[clause_16]),
    [] ).

cnf(229264984,plain,
    p_3_4,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151108064,229201848]),
    [] ).

fof(clause_17,plain,
    ( p_3_5
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151122008,plain,
    ( p_3_5
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    inference(rewrite,[status(thm)],[clause_17]),
    [] ).

cnf(229274464,plain,
    p_3_5,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151122008,229201848]),
    [] ).

fof(clause_9,plain,
    ( p_2_2
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(150988704,plain,
    ( p_2_2
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    inference(rewrite,[status(thm)],[clause_9]),
    [] ).

fof(clause_13,plain,
    ( p_3_1
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151057544,plain,
    ( p_3_1
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    inference(rewrite,[status(thm)],[clause_13]),
    [] ).

cnf(229244656,plain,
    p_3_1,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151057544,229201848]),
    [] ).

cnf(229289704,plain,
    p_2_2,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,150988704,229244656]),
    [] ).

fof(clause_10,plain,
    ( p_2_3
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151002904,plain,
    ( p_2_3
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    inference(rewrite,[status(thm)],[clause_10]),
    [] ).

cnf(229295304,plain,
    p_2_3,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,151002904,229244656]),
    [] ).

fof(clause_11,plain,
    ( p_2_4
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151021128,plain,
    ( p_2_4
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    inference(rewrite,[status(thm)],[clause_11]),
    [] ).

cnf(229304936,plain,
    p_2_4,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,151021128,229244656]),
    [] ).

fof(clause_12,plain,
    ( p_2_5
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(151039384,plain,
    ( p_2_5
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    inference(rewrite,[status(thm)],[clause_12]),
    [] ).

cnf(229310552,plain,
    p_2_5,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,151039384,229244656]),
    [] ).

fof(clause_4,plain,
    ( p_1_2
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(150904760,plain,
    ( p_1_2
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

fof(clause_8,plain,
    ( p_2_1
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(150970104,plain,
    ( p_2_1
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    inference(rewrite,[status(thm)],[clause_8]),
    [] ).

cnf(229280056,plain,
    p_2_1,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,150970104,229244656]),
    [] ).

cnf(229326088,plain,
    p_1_2,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150904760,229280056]),
    [] ).

fof(clause_5,plain,
    ( p_1_3
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(150919080,plain,
    ( p_1_3
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

cnf(229331808,plain,
    p_1_3,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150919080,229280056]),
    [] ).

fof(clause_6,plain,
    ( p_1_4
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(150937488,plain,
    ( p_1_4
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

cnf(229341656,plain,
    p_1_4,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150937488,229280056]),
    [] ).

fof(clause_7,plain,
    ( p_1_5
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(150955848,plain,
    ( p_1_5
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    inference(rewrite,[status(thm)],[clause_7]),
    [] ).

cnf(229347400,plain,
    p_1_5,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150955848,229280056]),
    [] ).

fof(clause_2,plain,
    ( p_0
    | ~ p_1_1
    | ~ p_1_2
    | ~ p_1_3
    | ~ p_1_4
    | ~ p_1_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(150867224,plain,
    ( p_0
    | ~ p_1_1
    | ~ p_1_2
    | ~ p_1_3
    | ~ p_1_4
    | ~ p_1_5 ),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

fof(clause_3,plain,
    ( p_1_1
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(150885960,plain,
    ( p_1_1
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(229316248,plain,
    p_1_1,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150885960,229280056]),
    [] ).

cnf(229357344,plain,
    p_0,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[229326088,229331808,229341656,229347400,150867224,229316248]),
    [] ).

fof(clause_1,plain,
    ~ p_0,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),
    [] ).

cnf(150852656,plain,
    ~ p_0,
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[229357344,150852656]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_24,plain,(p_5_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151218952,plain,(p_5_2),inference(rewrite,[status(thm)],[clause_24]),[]).
% 
% fof(clause_25,plain,(p_5_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151224312,plain,(p_5_3),inference(rewrite,[status(thm)],[clause_25]),[]).
% 
% fof(clause_26,plain,(p_5_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151229640,plain,(p_5_4),inference(rewrite,[status(thm)],[clause_26]),[]).
% 
% fof(clause_27,plain,(p_5_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151239024,plain,(p_5_5),inference(rewrite,[status(thm)],[clause_27]),[]).
% 
% fof(clause_19,plain,(p_4_2|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151154280,plain,(p_4_2|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),inference(rewrite,[status(thm)],[clause_19]),[]).
% 
% fof(clause_23,plain,(p_5_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151209488,plain,(p_5_1),inference(rewrite,[status(thm)],[clause_23]),[]).
% 
% cnf(229215288,plain,(p_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151154280,151209488]),[]).
% 
% fof(clause_20,plain,(p_4_3|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151172352,plain,(p_4_3|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),inference(rewrite,[status(thm)],[clause_20]),[]).
% 
% cnf(229220552,plain,(p_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151172352,151209488]),[]).
% 
% fof(clause_21,plain,(p_4_4|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151186168,plain,(p_4_4|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),inference(rewrite,[status(thm)],[clause_21]),[]).
% 
% cnf(229229920,plain,(p_4_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151186168,151209488]),[]).
% 
% fof(clause_22,plain,(p_4_5|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151204040,plain,(p_4_5|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),inference(rewrite,[status(thm)],[clause_22]),[]).
% 
% cnf(229239248,plain,(p_4_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151204040,151209488]),[]).
% 
% fof(clause_14,plain,(p_3_2|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151075992,plain,(p_3_2|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),inference(rewrite,[status(thm)],[clause_14]),[]).
% 
% fof(clause_18,plain,(p_4_1|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151140080,plain,(p_4_1|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),inference(rewrite,[status(thm)],[clause_18]),[]).
% 
% cnf(229201848,plain,(p_4_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[151218952,151224312,151229640,151239024,151140080,151209488]),[]).
% 
% cnf(229254152,plain,(p_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151075992,229201848]),[]).
% 
% fof(clause_15,plain,(p_3_3|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151090000,plain,(p_3_3|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),inference(rewrite,[status(thm)],[clause_15]),[]).
% 
% cnf(229259560,plain,(p_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151090000,229201848]),[]).
% 
% fof(clause_16,plain,(p_3_4|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151108064,plain,(p_3_4|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),inference(rewrite,[status(thm)],[clause_16]),[]).
% 
% cnf(229264984,plain,(p_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151108064,229201848]),[]).
% 
% fof(clause_17,plain,(p_3_5|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151122008,plain,(p_3_5|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),inference(rewrite,[status(thm)],[clause_17]),[]).
% 
% cnf(229274464,plain,(p_3_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151122008,229201848]),[]).
% 
% fof(clause_9,plain,(p_2_2|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(150988704,plain,(p_2_2|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),inference(rewrite,[status(thm)],[clause_9]),[]).
% 
% fof(clause_13,plain,(p_3_1|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151057544,plain,(p_3_1|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),inference(rewrite,[status(thm)],[clause_13]),[]).
% 
% cnf(229244656,plain,(p_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[229215288,229220552,229229920,229239248,151057544,229201848]),[]).
% 
% cnf(229289704,plain,(p_2_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,150988704,229244656]),[]).
% 
% fof(clause_10,plain,(p_2_3|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151002904,plain,(p_2_3|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),inference(rewrite,[status(thm)],[clause_10]),[]).
% 
% cnf(229295304,plain,(p_2_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,151002904,229244656]),[]).
% 
% fof(clause_11,plain,(p_2_4|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151021128,plain,(p_2_4|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),inference(rewrite,[status(thm)],[clause_11]),[]).
% 
% cnf(229304936,plain,(p_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,151021128,229244656]),[]).
% 
% fof(clause_12,plain,(p_2_5|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(151039384,plain,(p_2_5|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),inference(rewrite,[status(thm)],[clause_12]),[]).
% 
% cnf(229310552,plain,(p_2_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,151039384,229244656]),[]).
% 
% fof(clause_4,plain,(p_1_2|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(150904760,plain,(p_1_2|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% fof(clause_8,plain,(p_2_1|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(150970104,plain,(p_2_1|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),inference(rewrite,[status(thm)],[clause_8]),[]).
% 
% cnf(229280056,plain,(p_2_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[229254152,229259560,229264984,229274464,150970104,229244656]),[]).
% 
% cnf(229326088,plain,(p_1_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150904760,229280056]),[]).
% 
% fof(clause_5,plain,(p_1_3|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(150919080,plain,(p_1_3|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% cnf(229331808,plain,(p_1_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150919080,229280056]),[]).
% 
% fof(clause_6,plain,(p_1_4|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(150937488,plain,(p_1_4|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% cnf(229341656,plain,(p_1_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150937488,229280056]),[]).
% 
% fof(clause_7,plain,(p_1_5|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(150955848,plain,(p_1_5|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),inference(rewrite,[status(thm)],[clause_7]),[]).
% 
% cnf(229347400,plain,(p_1_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150955848,229280056]),[]).
% 
% fof(clause_2,plain,(p_0|~p_1_1|~p_1_2|~p_1_3|~p_1_4|~p_1_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(150867224,plain,(p_0|~p_1_1|~p_1_2|~p_1_3|~p_1_4|~p_1_5),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% fof(clause_3,plain,(p_1_1|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(150885960,plain,(p_1_1|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(229316248,plain,(p_1_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[229289704,229295304,229304936,229310552,150885960,229280056]),[]).
% 
% cnf(229357344,plain,(p_0),inference(forward_subsumption_resolution__resolution,[status(thm)],[229326088,229331808,229341656,229347400,150867224,229316248]),[]).
% 
% fof(clause_1,plain,(~p_0),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN010-1.005.005.tptp',unknown),[]).
% 
% cnf(150852656,plain,(~p_0),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[229357344,150852656]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------