TSTP Solution File: SYN102-1.007.007 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN102-1.007.007 : TPTP v3.4.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:43:24 EDT 2009

% Result   : Unsatisfiable 249.6s
% Output   : Refutation 249.6s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  105 (  16 unt;   0 def)
%            Number of atoms       :  322 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  457 ( 240   ~; 217   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   32 (  31 usr;   1 prp; 0-7 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :  464 (   0 sgn 196   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(n_3,plain,
    nq_2(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165282008,plain,
    nq_2(a),
    inference(rewrite,[status(thm)],[n_3]),
    [] ).

fof(n_5,plain,
    nq_3(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165296552,plain,
    nq_3(a),
    inference(rewrite,[status(thm)],[n_5]),
    [] ).

fof(n_7,plain,
    nq_4(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165311064,plain,
    nq_4(a),
    inference(rewrite,[status(thm)],[n_7]),
    [] ).

fof(n_9,plain,
    nq_5(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165325544,plain,
    nq_5(a),
    inference(rewrite,[status(thm)],[n_9]),
    [] ).

fof(n_11,plain,
    nq_6(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165340256,plain,
    nq_6(a),
    inference(rewrite,[status(thm)],[n_11]),
    [] ).

fof(n_13,plain,
    nq_7(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165350584,plain,
    nq_7(a),
    inference(rewrite,[status(thm)],[n_13]),
    [] ).

fof(n_s3_type12_4,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_1(A,B,C,D,E,F,G)
      | ~ q_2(A,B,C,D,E,F,G)
      | ~ p_3(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164859968,plain,
    ( q_1(A,B,C,D,E,F,G)
    | ~ q_2(A,B,C,D,E,F,G)
    | ~ p_3(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_4]),
    [] ).

fof(n_s3_type11_2,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_0(A,B,C,D,E,F,G)
      | ~ q_1(A,B,C,D,E,F,G)
      | ~ q_2(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164525864,plain,
    ( p_0(A,B,C,D,E,F,G)
    | ~ q_1(A,B,C,D,E,F,G)
    | ~ q_2(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type11_2]),
    [] ).

cnf(174767280,plain,
    ( ~ q_2(A,B,C,D,E,F,G)
    | ~ p_3(A,B,C,D,E,F,G)
    | p_0(A,B,C,D,E,F,G) ),
    inference(resolution,[status(thm)],[164859968,164525864]),
    [] ).

fof(n_s3_goal_1,plain,
    ( ~ p_0(a,a,a,a,a,a,a)
    | ~ q_0(a,a,a,a,a,a,a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164498256,plain,
    ( ~ p_0(a,a,a,a,a,a,a)
    | ~ q_0(a,a,a,a,a,a,a) ),
    inference(rewrite,[status(thm)],[n_s3_goal_1]),
    [] ).

cnf(177296120,plain,
    ( ~ q_2(a,a,a,a,a,a,a)
    | ~ p_3(a,a,a,a,a,a,a)
    | ~ q_0(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[174767280,164498256]),
    [] ).

fof(n_s3_type12_5,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_2(A,B,C,D,E,F,G)
      | ~ p_3(A,B,C,D,E,F,G)
      | ~ q_4(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164869568,plain,
    ( q_2(A,B,C,D,E,F,G)
    | ~ p_3(A,B,C,D,E,F,G)
    | ~ q_4(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_5]),
    [] ).

cnf(199463480,plain,
    ( ~ p_3(a,a,a,a,a,a,a)
    | ~ q_0(a,a,a,a,a,a,a)
    | ~ q_4(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[177296120,164869568]),
    [] ).

fof(n_s3_type11_8,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_3(A,B,C,D,E,F,G)
      | ~ q_4(A,B,C,D,E,F,G)
      | ~ q_5(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164601320,plain,
    ( p_3(A,B,C,D,E,F,G)
    | ~ q_4(A,B,C,D,E,F,G)
    | ~ q_5(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type11_8]),
    [] ).

cnf(199636872,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ q_4(a,a,a,a,a,a,a)
    | ~ q_5(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[199463480,164601320]),
    [] ).

fof(n_s3_type12_10,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_4(A,B,C,D,E,F,G)
      | ~ q_5(A,B,C,D,E,F,G)
      | ~ p_6(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164924040,plain,
    ( q_4(A,B,C,D,E,F,G)
    | ~ q_5(A,B,C,D,E,F,G)
    | ~ p_6(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_10]),
    [] ).

cnf(200957512,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ q_5(a,a,a,a,a,a,a)
    | ~ p_6(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[199636872,164924040]),
    [] ).

fof(n_s3_type12_11,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_5(A,B,C,D,E,F,G)
      | ~ p_6(A,B,C,D,E,F,G)
      | ~ q_7(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164937392,plain,
    ( q_5(A,B,C,D,E,F,G)
    | ~ p_6(A,B,C,D,E,F,G)
    | ~ q_7(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_11]),
    [] ).

cnf(201078176,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ p_6(a,a,a,a,a,a,a)
    | ~ q_7(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[200957512,164937392]),
    [] ).

fof(n_s3_type11_14,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_6(A,B,C,D,E,F,G)
      | ~ q_7(A,B,C,D,E,F,G)
      | ~ q_8(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164680224,plain,
    ( p_6(A,B,C,D,E,F,G)
    | ~ q_7(A,B,C,D,E,F,G)
    | ~ q_8(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type11_14]),
    [] ).

cnf(201108808,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ q_7(a,a,a,a,a,a,a)
    | ~ q_8(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[201078176,164680224]),
    [] ).

fof(n_s3_type12_16,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_7(A,B,C,D,E,F,G)
      | ~ q_8(A,B,C,D,E,F,G)
      | ~ p_9(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164991488,plain,
    ( q_7(A,B,C,D,E,F,G)
    | ~ q_8(A,B,C,D,E,F,G)
    | ~ p_9(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_16]),
    [] ).

cnf(201157376,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ q_8(a,a,a,a,a,a,a)
    | ~ p_9(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[201108808,164991488]),
    [] ).

fof(n_s3_type12_17,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_8(A,B,C,D,E,F,G)
      | ~ p_9(A,B,C,D,E,F,G)
      | ~ q_10(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165001056,plain,
    ( q_8(A,B,C,D,E,F,G)
    | ~ p_9(A,B,C,D,E,F,G)
    | ~ q_10(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_17]),
    [] ).

cnf(201254072,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ p_9(a,a,a,a,a,a,a)
    | ~ q_10(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[201157376,165001056]),
    [] ).

fof(n_s3_type11_20,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_9(A,B,C,D,E,F,G)
      | ~ q_10(A,B,C,D,E,F,G)
      | ~ q_11(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164755232,plain,
    ( p_9(A,B,C,D,E,F,G)
    | ~ q_10(A,B,C,D,E,F,G)
    | ~ q_11(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type11_20]),
    [] ).

cnf(201284232,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ q_10(a,a,a,a,a,a,a)
    | ~ q_11(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[201254072,164755232]),
    [] ).

fof(n_s3_type12_22,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_10(A,B,C,D,E,F,G)
      | ~ q_11(A,B,C,D,E,F,G)
      | ~ p_12(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165060136,plain,
    ( q_10(A,B,C,D,E,F,G)
    | ~ q_11(A,B,C,D,E,F,G)
    | ~ p_12(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_22]),
    [] ).

cnf(201376920,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ q_11(a,a,a,a,a,a,a)
    | ~ p_12(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[201284232,165060136]),
    [] ).

fof(n_s3_type12_23,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_11(A,B,C,D,E,F,G)
      | ~ p_12(A,B,C,D,E,F,G)
      | ~ q_13(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165070120,plain,
    ( q_11(A,B,C,D,E,F,G)
    | ~ p_12(A,B,C,D,E,F,G)
    | ~ q_13(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_23]),
    [] ).

cnf(201434104,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ p_12(a,a,a,a,a,a,a)
    | ~ q_13(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[201376920,165070120]),
    [] ).

fof(n_t3_1,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_12(A,B,C,D,E,F,G)
      | ~ nq_1(A)
      | ~ nq_2(B)
      | ~ nq_3(C)
      | ~ nq_4(D)
      | ~ nq_5(E)
      | ~ nq_6(F)
      | ~ nq_7(G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165192944,plain,
    ( p_12(A,B,C,D,E,F,G)
    | ~ nq_1(A)
    | ~ nq_2(B)
    | ~ nq_3(C)
    | ~ nq_4(D)
    | ~ nq_5(E)
    | ~ nq_6(F)
    | ~ nq_7(G) ),
    inference(rewrite,[status(thm)],[n_t3_1]),
    [] ).

fof(n_1,plain,
    nq_1(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165267464,plain,
    nq_1(a),
    inference(rewrite,[status(thm)],[n_1]),
    [] ).

cnf(173496728,plain,
    ( p_12(a,A,B,C,D,E,F)
    | ~ nq_2(A)
    | ~ nq_3(B)
    | ~ nq_4(C)
    | ~ nq_5(D)
    | ~ nq_6(E)
    | ~ nq_7(F) ),
    inference(resolution,[status(thm)],[165192944,165267464]),
    [] ).

cnf(271546656,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ q_13(a,a,a,a,a,a,a) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[165282008,165296552,165311064,165325544,165340256,165350584,201434104,173496728]),
    [] ).

fof(n_s3_type2_3,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_13(A,B,C,D,E,F,G)
      | ~ q_6(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165114696,plain,
    ( q_13(A,B,C,D,E,F,G)
    | ~ q_6(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type2_3]),
    [] ).

cnf(271556456,plain,
    ( ~ q_0(a,a,a,a,a,a,a)
    | ~ q_6(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[271546656,165114696]),
    [] ).

fof(n_s3_type12_6,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_2(A,B,C,D,E,F,G)
      | ~ q_3(A,B,C,D,E,F,G)
      | ~ p_4(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164881424,plain,
    ( q_2(A,B,C,D,E,F,G)
    | ~ q_3(A,B,C,D,E,F,G)
    | ~ p_4(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_6]),
    [] ).

fof(n_s3_type11_4,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_1(A,B,C,D,E,F,G)
      | ~ q_2(A,B,C,D,E,F,G)
      | ~ q_3(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164552336,plain,
    ( p_1(A,B,C,D,E,F,G)
    | ~ q_2(A,B,C,D,E,F,G)
    | ~ q_3(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type11_4]),
    [] ).

cnf(174871888,plain,
    ( ~ q_3(A,B,C,D,E,F,G)
    | ~ p_4(A,B,C,D,E,F,G)
    | p_1(A,B,C,D,E,F,G) ),
    inference(resolution,[status(thm)],[164881424,164552336]),
    [] ).

fof(n_s3_type12_1,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_0(A,B,C,D,E,F,G)
      | ~ p_1(A,B,C,D,E,F,G)
      | ~ q_2(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164822088,plain,
    ( q_0(A,B,C,D,E,F,G)
    | ~ p_1(A,B,C,D,E,F,G)
    | ~ q_2(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_1]),
    [] ).

cnf(174904512,plain,
    ( ~ q_3(A,B,C,D,E,F,G)
    | ~ p_4(A,B,C,D,E,F,G)
    | q_0(A,B,C,D,E,F,G) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[174871888,164881424,164822088]),
    [] ).

cnf(271682000,plain,
    ( ~ q_6(a,a,a,a,a,a,a)
    | ~ q_3(a,a,a,a,a,a,a)
    | ~ p_4(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[271556456,174904512]),
    [] ).

fof(n_s3_type12_12,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_5(A,B,C,D,E,F,G)
      | ~ q_6(A,B,C,D,E,F,G)
      | ~ p_7(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164945064,plain,
    ( q_5(A,B,C,D,E,F,G)
    | ~ q_6(A,B,C,D,E,F,G)
    | ~ p_7(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_12]),
    [] ).

fof(n_s3_type11_10,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_4(A,B,C,D,E,F,G)
      | ~ q_5(A,B,C,D,E,F,G)
      | ~ q_6(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164627696,plain,
    ( p_4(A,B,C,D,E,F,G)
    | ~ q_5(A,B,C,D,E,F,G)
    | ~ q_6(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type11_10]),
    [] ).

cnf(175216600,plain,
    ( ~ q_6(A,B,C,D,E,F,G)
    | ~ p_7(A,B,C,D,E,F,G)
    | p_4(A,B,C,D,E,F,G) ),
    inference(resolution,[status(thm)],[164945064,164627696]),
    [] ).

fof(n_s3_type12_7,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_3(A,B,C,D,E,F,G)
      | ~ p_4(A,B,C,D,E,F,G)
      | ~ q_5(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164894920,plain,
    ( q_3(A,B,C,D,E,F,G)
    | ~ p_4(A,B,C,D,E,F,G)
    | ~ q_5(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_7]),
    [] ).

cnf(175249160,plain,
    ( ~ q_6(A,B,C,D,E,F,G)
    | ~ p_7(A,B,C,D,E,F,G)
    | q_3(A,B,C,D,E,F,G) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[175216600,164945064,164894920]),
    [] ).

cnf(285827472,plain,
    ( ~ q_6(a,a,a,a,a,a,a)
    | ~ p_4(a,a,a,a,a,a,a)
    | ~ p_7(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[271682000,175249160]),
    [] ).

cnf(285916432,plain,
    ( ~ q_6(a,a,a,a,a,a,a)
    | ~ p_7(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[285827472,175216600]),
    [] ).

fof(n_s3_type12_13,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_6(A,B,C,D,E,F,G)
      | ~ p_7(A,B,C,D,E,F,G)
      | ~ q_8(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164958464,plain,
    ( q_6(A,B,C,D,E,F,G)
    | ~ p_7(A,B,C,D,E,F,G)
    | ~ q_8(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_13]),
    [] ).

cnf(783783096,plain,
    ( ~ p_7(a,a,a,a,a,a,a)
    | ~ q_8(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[285916432,164958464]),
    [] ).

fof(n_s3_type11_16,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_7(A,B,C,D,E,F,G)
      | ~ q_8(A,B,C,D,E,F,G)
      | ~ q_9(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164702288,plain,
    ( p_7(A,B,C,D,E,F,G)
    | ~ q_8(A,B,C,D,E,F,G)
    | ~ q_9(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type11_16]),
    [] ).

cnf(788807024,plain,
    ( ~ q_8(a,a,a,a,a,a,a)
    | ~ q_9(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[783783096,164702288]),
    [] ).

fof(n_s3_type12_18,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_8(A,B,C,D,E,F,G)
      | ~ q_9(A,B,C,D,E,F,G)
      | ~ p_10(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165013040,plain,
    ( q_8(A,B,C,D,E,F,G)
    | ~ q_9(A,B,C,D,E,F,G)
    | ~ p_10(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_18]),
    [] ).

cnf(153547331,plain,
    ( ~ q_9(a,a,a,a,a,a,a)
    | ~ p_10(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[788807024,165013040]),
    [] ).

fof(n_s3_type12_19,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_9(A,B,C,D,E,F,G)
      | ~ p_10(A,B,C,D,E,F,G)
      | ~ q_11(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165026664,plain,
    ( q_9(A,B,C,D,E,F,G)
    | ~ p_10(A,B,C,D,E,F,G)
    | ~ q_11(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type12_19]),
    [] ).

cnf(154487116,plain,
    ( ~ p_10(a,a,a,a,a,a,a)
    | ~ q_11(a,a,a,a,a,a,a) ),
    inference(resolution,[status(thm)],[153547331,165026664]),
    [] ).

fof(n_t3_4,plain,
    ! [A,B,C,D,E,F,G] :
      ( q_13(A,B,C,D,E,F,G)
      | ~ nq_1(A)
      | ~ nq_2(B)
      | ~ nq_3(C)
      | ~ nq_4(D)
      | ~ nq_5(E)
      | ~ nq_6(F)
      | ~ nq_7(G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165261744,plain,
    ( q_13(A,B,C,D,E,F,G)
    | ~ nq_1(A)
    | ~ nq_2(B)
    | ~ nq_3(C)
    | ~ nq_4(D)
    | ~ nq_5(E)
    | ~ nq_6(F)
    | ~ nq_7(G) ),
    inference(rewrite,[status(thm)],[n_t3_4]),
    [] ).

cnf(173568664,plain,
    ( q_13(a,A,B,C,D,E,F)
    | ~ nq_2(A)
    | ~ nq_3(B)
    | ~ nq_4(C)
    | ~ nq_5(D)
    | ~ nq_6(E)
    | ~ nq_7(F) ),
    inference(resolution,[status(thm)],[165261744,165267464]),
    [] ).

cnf(179973368,plain,
    ( ~ nq_2(A)
    | ~ nq_3(B)
    | ~ nq_4(C)
    | ~ nq_5(D)
    | ~ nq_6(E)
    | ~ nq_7(F)
    | q_11(a,A,B,C,D,E,F) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173568664,173496728,165070120]),
    [] ).

cnf(189534943,plain,
    ~ p_10(a,a,a,a,a,a,a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[165282008,165296552,165311064,165325544,165340256,165350584,154487116,179973368]),
    [] ).

fof(n_t3_2,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_13(A,B,C,D,E,F,G)
      | ~ nq_1(A)
      | ~ nq_2(B)
      | ~ nq_3(C)
      | ~ nq_4(D)
      | ~ nq_5(E)
      | ~ nq_6(F)
      | ~ nq_7(G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(165218600,plain,
    ( p_13(A,B,C,D,E,F,G)
    | ~ nq_1(A)
    | ~ nq_2(B)
    | ~ nq_3(C)
    | ~ nq_4(D)
    | ~ nq_5(E)
    | ~ nq_6(F)
    | ~ nq_7(G) ),
    inference(rewrite,[status(thm)],[n_t3_2]),
    [] ).

cnf(173520920,plain,
    ( p_13(a,A,B,C,D,E,F)
    | ~ nq_2(A)
    | ~ nq_3(B)
    | ~ nq_4(C)
    | ~ nq_5(D)
    | ~ nq_6(E)
    | ~ nq_7(F) ),
    inference(resolution,[status(thm)],[165218600,165267464]),
    [] ).

fof(n_s3_type11_23,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_11(A,B,C,D,E,F,G)
      | ~ p_12(A,B,C,D,E,F,G)
      | ~ p_13(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164795424,plain,
    ( p_11(A,B,C,D,E,F,G)
    | ~ p_12(A,B,C,D,E,F,G)
    | ~ p_13(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type11_23]),
    [] ).

fof(n_s3_type11_21,plain,
    ! [A,B,C,D,E,F,G] :
      ( p_10(A,B,C,D,E,F,G)
      | ~ p_11(A,B,C,D,E,F,G)
      | ~ p_12(A,B,C,D,E,F,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),
    [] ).

cnf(164769080,plain,
    ( p_10(A,B,C,D,E,F,G)
    | ~ p_11(A,B,C,D,E,F,G)
    | ~ p_12(A,B,C,D,E,F,G) ),
    inference(rewrite,[status(thm)],[n_s3_type11_21]),
    [] ).

cnf(174615552,plain,
    ( ~ p_12(A,B,C,D,E,F,G)
    | ~ p_13(A,B,C,D,E,F,G)
    | p_10(A,B,C,D,E,F,G) ),
    inference(resolution,[status(thm)],[164795424,164769080]),
    [] ).

cnf(179995096,plain,
    ( ~ nq_2(A)
    | ~ nq_3(B)
    | ~ nq_4(C)
    | ~ nq_5(D)
    | ~ nq_6(E)
    | ~ nq_7(F)
    | p_10(a,A,B,C,D,E,F) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173520920,173496728,174615552]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[165282008,165296552,165311064,165325544,165340256,165350584,189534943,179995096]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 401 seconds
% START OF PROOF SEQUENCE
% fof(n_3,plain,(nq_2(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165282008,plain,(nq_2(a)),inference(rewrite,[status(thm)],[n_3]),[]).
% 
% fof(n_5,plain,(nq_3(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165296552,plain,(nq_3(a)),inference(rewrite,[status(thm)],[n_5]),[]).
% 
% fof(n_7,plain,(nq_4(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165311064,plain,(nq_4(a)),inference(rewrite,[status(thm)],[n_7]),[]).
% 
% fof(n_9,plain,(nq_5(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165325544,plain,(nq_5(a)),inference(rewrite,[status(thm)],[n_9]),[]).
% 
% fof(n_11,plain,(nq_6(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165340256,plain,(nq_6(a)),inference(rewrite,[status(thm)],[n_11]),[]).
% 
% fof(n_13,plain,(nq_7(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165350584,plain,(nq_7(a)),inference(rewrite,[status(thm)],[n_13]),[]).
% 
% fof(n_s3_type12_4,plain,(q_1(A,B,C,D,E,F,G)|~q_2(A,B,C,D,E,F,G)|~p_3(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164859968,plain,(q_1(A,B,C,D,E,F,G)|~q_2(A,B,C,D,E,F,G)|~p_3(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_4]),[]).
% 
% fof(n_s3_type11_2,plain,(p_0(A,B,C,D,E,F,G)|~q_1(A,B,C,D,E,F,G)|~q_2(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164525864,plain,(p_0(A,B,C,D,E,F,G)|~q_1(A,B,C,D,E,F,G)|~q_2(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type11_2]),[]).
% 
% cnf(174767280,plain,(~q_2(A,B,C,D,E,F,G)|~p_3(A,B,C,D,E,F,G)|p_0(A,B,C,D,E,F,G)),inference(resolution,[status(thm)],[164859968,164525864]),[]).
% 
% fof(n_s3_goal_1,plain,(~p_0(a,a,a,a,a,a,a)|~q_0(a,a,a,a,a,a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164498256,plain,(~p_0(a,a,a,a,a,a,a)|~q_0(a,a,a,a,a,a,a)),inference(rewrite,[status(thm)],[n_s3_goal_1]),[]).
% 
% cnf(177296120,plain,(~q_2(a,a,a,a,a,a,a)|~p_3(a,a,a,a,a,a,a)|~q_0(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[174767280,164498256]),[]).
% 
% fof(n_s3_type12_5,plain,(q_2(A,B,C,D,E,F,G)|~p_3(A,B,C,D,E,F,G)|~q_4(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164869568,plain,(q_2(A,B,C,D,E,F,G)|~p_3(A,B,C,D,E,F,G)|~q_4(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_5]),[]).
% 
% cnf(199463480,plain,(~p_3(a,a,a,a,a,a,a)|~q_0(a,a,a,a,a,a,a)|~q_4(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[177296120,164869568]),[]).
% 
% fof(n_s3_type11_8,plain,(p_3(A,B,C,D,E,F,G)|~q_4(A,B,C,D,E,F,G)|~q_5(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164601320,plain,(p_3(A,B,C,D,E,F,G)|~q_4(A,B,C,D,E,F,G)|~q_5(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type11_8]),[]).
% 
% cnf(199636872,plain,(~q_0(a,a,a,a,a,a,a)|~q_4(a,a,a,a,a,a,a)|~q_5(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[199463480,164601320]),[]).
% 
% fof(n_s3_type12_10,plain,(q_4(A,B,C,D,E,F,G)|~q_5(A,B,C,D,E,F,G)|~p_6(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164924040,plain,(q_4(A,B,C,D,E,F,G)|~q_5(A,B,C,D,E,F,G)|~p_6(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_10]),[]).
% 
% cnf(200957512,plain,(~q_0(a,a,a,a,a,a,a)|~q_5(a,a,a,a,a,a,a)|~p_6(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[199636872,164924040]),[]).
% 
% fof(n_s3_type12_11,plain,(q_5(A,B,C,D,E,F,G)|~p_6(A,B,C,D,E,F,G)|~q_7(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164937392,plain,(q_5(A,B,C,D,E,F,G)|~p_6(A,B,C,D,E,F,G)|~q_7(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_11]),[]).
% 
% cnf(201078176,plain,(~q_0(a,a,a,a,a,a,a)|~p_6(a,a,a,a,a,a,a)|~q_7(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[200957512,164937392]),[]).
% 
% fof(n_s3_type11_14,plain,(p_6(A,B,C,D,E,F,G)|~q_7(A,B,C,D,E,F,G)|~q_8(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164680224,plain,(p_6(A,B,C,D,E,F,G)|~q_7(A,B,C,D,E,F,G)|~q_8(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type11_14]),[]).
% 
% cnf(201108808,plain,(~q_0(a,a,a,a,a,a,a)|~q_7(a,a,a,a,a,a,a)|~q_8(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[201078176,164680224]),[]).
% 
% fof(n_s3_type12_16,plain,(q_7(A,B,C,D,E,F,G)|~q_8(A,B,C,D,E,F,G)|~p_9(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164991488,plain,(q_7(A,B,C,D,E,F,G)|~q_8(A,B,C,D,E,F,G)|~p_9(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_16]),[]).
% 
% cnf(201157376,plain,(~q_0(a,a,a,a,a,a,a)|~q_8(a,a,a,a,a,a,a)|~p_9(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[201108808,164991488]),[]).
% 
% fof(n_s3_type12_17,plain,(q_8(A,B,C,D,E,F,G)|~p_9(A,B,C,D,E,F,G)|~q_10(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165001056,plain,(q_8(A,B,C,D,E,F,G)|~p_9(A,B,C,D,E,F,G)|~q_10(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_17]),[]).
% 
% cnf(201254072,plain,(~q_0(a,a,a,a,a,a,a)|~p_9(a,a,a,a,a,a,a)|~q_10(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[201157376,165001056]),[]).
% 
% fof(n_s3_type11_20,plain,(p_9(A,B,C,D,E,F,G)|~q_10(A,B,C,D,E,F,G)|~q_11(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164755232,plain,(p_9(A,B,C,D,E,F,G)|~q_10(A,B,C,D,E,F,G)|~q_11(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type11_20]),[]).
% 
% cnf(201284232,plain,(~q_0(a,a,a,a,a,a,a)|~q_10(a,a,a,a,a,a,a)|~q_11(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[201254072,164755232]),[]).
% 
% fof(n_s3_type12_22,plain,(q_10(A,B,C,D,E,F,G)|~q_11(A,B,C,D,E,F,G)|~p_12(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165060136,plain,(q_10(A,B,C,D,E,F,G)|~q_11(A,B,C,D,E,F,G)|~p_12(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_22]),[]).
% 
% cnf(201376920,plain,(~q_0(a,a,a,a,a,a,a)|~q_11(a,a,a,a,a,a,a)|~p_12(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[201284232,165060136]),[]).
% 
% fof(n_s3_type12_23,plain,(q_11(A,B,C,D,E,F,G)|~p_12(A,B,C,D,E,F,G)|~q_13(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165070120,plain,(q_11(A,B,C,D,E,F,G)|~p_12(A,B,C,D,E,F,G)|~q_13(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_23]),[]).
% 
% cnf(201434104,plain,(~q_0(a,a,a,a,a,a,a)|~p_12(a,a,a,a,a,a,a)|~q_13(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[201376920,165070120]),[]).
% 
% fof(n_t3_1,plain,(p_12(A,B,C,D,E,F,G)|~nq_1(A)|~nq_2(B)|~nq_3(C)|~nq_4(D)|~nq_5(E)|~nq_6(F)|~nq_7(G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165192944,plain,(p_12(A,B,C,D,E,F,G)|~nq_1(A)|~nq_2(B)|~nq_3(C)|~nq_4(D)|~nq_5(E)|~nq_6(F)|~nq_7(G)),inference(rewrite,[status(thm)],[n_t3_1]),[]).
% 
% fof(n_1,plain,(nq_1(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165267464,plain,(nq_1(a)),inference(rewrite,[status(thm)],[n_1]),[]).
% 
% cnf(173496728,plain,(p_12(a,A,B,C,D,E,F)|~nq_2(A)|~nq_3(B)|~nq_4(C)|~nq_5(D)|~nq_6(E)|~nq_7(F)),inference(resolution,[status(thm)],[165192944,165267464]),[]).
% 
% cnf(271546656,plain,(~q_0(a,a,a,a,a,a,a)|~q_13(a,a,a,a,a,a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[165282008,165296552,165311064,165325544,165340256,165350584,201434104,173496728]),[]).
% 
% fof(n_s3_type2_3,plain,(q_13(A,B,C,D,E,F,G)|~q_6(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165114696,plain,(q_13(A,B,C,D,E,F,G)|~q_6(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type2_3]),[]).
% 
% cnf(271556456,plain,(~q_0(a,a,a,a,a,a,a)|~q_6(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[271546656,165114696]),[]).
% 
% fof(n_s3_type12_6,plain,(q_2(A,B,C,D,E,F,G)|~q_3(A,B,C,D,E,F,G)|~p_4(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164881424,plain,(q_2(A,B,C,D,E,F,G)|~q_3(A,B,C,D,E,F,G)|~p_4(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_6]),[]).
% 
% fof(n_s3_type11_4,plain,(p_1(A,B,C,D,E,F,G)|~q_2(A,B,C,D,E,F,G)|~q_3(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164552336,plain,(p_1(A,B,C,D,E,F,G)|~q_2(A,B,C,D,E,F,G)|~q_3(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type11_4]),[]).
% 
% cnf(174871888,plain,(~q_3(A,B,C,D,E,F,G)|~p_4(A,B,C,D,E,F,G)|p_1(A,B,C,D,E,F,G)),inference(resolution,[status(thm)],[164881424,164552336]),[]).
% 
% fof(n_s3_type12_1,plain,(q_0(A,B,C,D,E,F,G)|~p_1(A,B,C,D,E,F,G)|~q_2(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164822088,plain,(q_0(A,B,C,D,E,F,G)|~p_1(A,B,C,D,E,F,G)|~q_2(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_1]),[]).
% 
% cnf(174904512,plain,(~q_3(A,B,C,D,E,F,G)|~p_4(A,B,C,D,E,F,G)|q_0(A,B,C,D,E,F,G)),inference(forward_subsumption_resolution__resolution,[status(thm)],[174871888,164881424,164822088]),[]).
% 
% cnf(271682000,plain,(~q_6(a,a,a,a,a,a,a)|~q_3(a,a,a,a,a,a,a)|~p_4(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[271556456,174904512]),[]).
% 
% fof(n_s3_type12_12,plain,(q_5(A,B,C,D,E,F,G)|~q_6(A,B,C,D,E,F,G)|~p_7(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164945064,plain,(q_5(A,B,C,D,E,F,G)|~q_6(A,B,C,D,E,F,G)|~p_7(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_12]),[]).
% 
% fof(n_s3_type11_10,plain,(p_4(A,B,C,D,E,F,G)|~q_5(A,B,C,D,E,F,G)|~q_6(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164627696,plain,(p_4(A,B,C,D,E,F,G)|~q_5(A,B,C,D,E,F,G)|~q_6(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type11_10]),[]).
% 
% cnf(175216600,plain,(~q_6(A,B,C,D,E,F,G)|~p_7(A,B,C,D,E,F,G)|p_4(A,B,C,D,E,F,G)),inference(resolution,[status(thm)],[164945064,164627696]),[]).
% 
% fof(n_s3_type12_7,plain,(q_3(A,B,C,D,E,F,G)|~p_4(A,B,C,D,E,F,G)|~q_5(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164894920,plain,(q_3(A,B,C,D,E,F,G)|~p_4(A,B,C,D,E,F,G)|~q_5(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_7]),[]).
% 
% cnf(175249160,plain,(~q_6(A,B,C,D,E,F,G)|~p_7(A,B,C,D,E,F,G)|q_3(A,B,C,D,E,F,G)),inference(forward_subsumption_resolution__resolution,[status(thm)],[175216600,164945064,164894920]),[]).
% 
% cnf(285827472,plain,(~q_6(a,a,a,a,a,a,a)|~p_4(a,a,a,a,a,a,a)|~p_7(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[271682000,175249160]),[]).
% 
% cnf(285916432,plain,(~q_6(a,a,a,a,a,a,a)|~p_7(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[285827472,175216600]),[]).
% 
% fof(n_s3_type12_13,plain,(q_6(A,B,C,D,E,F,G)|~p_7(A,B,C,D,E,F,G)|~q_8(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164958464,plain,(q_6(A,B,C,D,E,F,G)|~p_7(A,B,C,D,E,F,G)|~q_8(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_13]),[]).
% 
% cnf(783783096,plain,(~p_7(a,a,a,a,a,a,a)|~q_8(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[285916432,164958464]),[]).
% 
% fof(n_s3_type11_16,plain,(p_7(A,B,C,D,E,F,G)|~q_8(A,B,C,D,E,F,G)|~q_9(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164702288,plain,(p_7(A,B,C,D,E,F,G)|~q_8(A,B,C,D,E,F,G)|~q_9(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type11_16]),[]).
% 
% cnf(788807024,plain,(~q_8(a,a,a,a,a,a,a)|~q_9(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[783783096,164702288]),[]).
% 
% fof(n_s3_type12_18,plain,(q_8(A,B,C,D,E,F,G)|~q_9(A,B,C,D,E,F,G)|~p_10(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165013040,plain,(q_8(A,B,C,D,E,F,G)|~q_9(A,B,C,D,E,F,G)|~p_10(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_18]),[]).
% 
% cnf(153547331,plain,(~q_9(a,a,a,a,a,a,a)|~p_10(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[788807024,165013040]),[]).
% 
% fof(n_s3_type12_19,plain,(q_9(A,B,C,D,E,F,G)|~p_10(A,B,C,D,E,F,G)|~q_11(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165026664,plain,(q_9(A,B,C,D,E,F,G)|~p_10(A,B,C,D,E,F,G)|~q_11(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type12_19]),[]).
% 
% cnf(154487116,plain,(~p_10(a,a,a,a,a,a,a)|~q_11(a,a,a,a,a,a,a)),inference(resolution,[status(thm)],[153547331,165026664]),[]).
% 
% fof(n_t3_4,plain,(q_13(A,B,C,D,E,F,G)|~nq_1(A)|~nq_2(B)|~nq_3(C)|~nq_4(D)|~nq_5(E)|~nq_6(F)|~nq_7(G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165261744,plain,(q_13(A,B,C,D,E,F,G)|~nq_1(A)|~nq_2(B)|~nq_3(C)|~nq_4(D)|~nq_5(E)|~nq_6(F)|~nq_7(G)),inference(rewrite,[status(thm)],[n_t3_4]),[]).
% 
% cnf(173568664,plain,(q_13(a,A,B,C,D,E,F)|~nq_2(A)|~nq_3(B)|~nq_4(C)|~nq_5(D)|~nq_6(E)|~nq_7(F)),inference(resolution,[status(thm)],[165261744,165267464]),[]).
% 
% cnf(179973368,plain,(~nq_2(A)|~nq_3(B)|~nq_4(C)|~nq_5(D)|~nq_6(E)|~nq_7(F)|q_11(a,A,B,C,D,E,F)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173568664,173496728,165070120]),[]).
% 
% cnf(189534943,plain,(~p_10(a,a,a,a,a,a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[165282008,165296552,165311064,165325544,165340256,165350584,154487116,179973368]),[]).
% 
% fof(n_t3_2,plain,(p_13(A,B,C,D,E,F,G)|~nq_1(A)|~nq_2(B)|~nq_3(C)|~nq_4(D)|~nq_5(E)|~nq_6(F)|~nq_7(G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(165218600,plain,(p_13(A,B,C,D,E,F,G)|~nq_1(A)|~nq_2(B)|~nq_3(C)|~nq_4(D)|~nq_5(E)|~nq_6(F)|~nq_7(G)),inference(rewrite,[status(thm)],[n_t3_2]),[]).
% 
% cnf(173520920,plain,(p_13(a,A,B,C,D,E,F)|~nq_2(A)|~nq_3(B)|~nq_4(C)|~nq_5(D)|~nq_6(E)|~nq_7(F)),inference(resolution,[status(thm)],[165218600,165267464]),[]).
% 
% fof(n_s3_type11_23,plain,(p_11(A,B,C,D,E,F,G)|~p_12(A,B,C,D,E,F,G)|~p_13(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164795424,plain,(p_11(A,B,C,D,E,F,G)|~p_12(A,B,C,D,E,F,G)|~p_13(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type11_23]),[]).
% 
% fof(n_s3_type11_21,plain,(p_10(A,B,C,D,E,F,G)|~p_11(A,B,C,D,E,F,G)|~p_12(A,B,C,D,E,F,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN102-1.007.007.tptp',unknown),[]).
% 
% cnf(164769080,plain,(p_10(A,B,C,D,E,F,G)|~p_11(A,B,C,D,E,F,G)|~p_12(A,B,C,D,E,F,G)),inference(rewrite,[status(thm)],[n_s3_type11_21]),[]).
% 
% cnf(174615552,plain,(~p_12(A,B,C,D,E,F,G)|~p_13(A,B,C,D,E,F,G)|p_10(A,B,C,D,E,F,G)),inference(resolution,[status(thm)],[164795424,164769080]),[]).
% 
% cnf(179995096,plain,(~nq_2(A)|~nq_3(B)|~nq_4(C)|~nq_5(D)|~nq_6(E)|~nq_7(F)|p_10(a,A,B,C,D,E,F)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173520920,173496728,174615552]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[165282008,165296552,165311064,165325544,165340256,165350584,189534943,179995096]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------