TSTP Solution File: SYN056+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN056+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 16:39:40 EDT 2009

% Result   : Theorem 0.6s
% Output   : Refutation 0.6s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   42 (   9 unt;   0 def)
%            Number of atoms       :  424 (   0 equ)
%            Maximal formula atoms :  324 (  10 avg)
%            Number of connectives :  598 ( 216   ~; 300   |;  82   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   87 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   68 (  37 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel26,plain,
    ! [A,D] :
      ( ( big_p(x(A))
        | big_p(x(A))
        | big_q(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_r(x(A))
        | big_p(x(A))
        | big_q(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_q(D)
        | big_p(x(A))
        | big_q(y_nn_1(A))
        | ~ big_p(A) )
      & ( big_p(x(A))
        | ~ big_r(x(A))
        | big_q(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_r(x(A))
        | ~ big_r(x(A))
        | big_q(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_q(D)
        | ~ big_r(x(A))
        | big_q(y_nn_1(A))
        | ~ big_p(A) )
      & ( big_p(x(A))
        | big_s(D)
        | big_q(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_r(x(A))
        | big_s(D)
        | big_q(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_q(D)
        | big_s(D)
        | big_q(y_nn_1(A))
        | ~ big_p(A) )
      & ( big_p(x(A))
        | big_p(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_r(x(A))
        | big_p(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_q(D)
        | big_p(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_p(A) )
      & ( big_p(x(A))
        | ~ big_r(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_r(x(A))
        | ~ big_r(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_q(D)
        | ~ big_r(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_p(A) )
      & ( big_p(x(A))
        | big_s(D)
        | ~ big_s(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_r(x(A))
        | big_s(D)
        | ~ big_s(y_nn_1(A))
        | ~ big_p(A) )
      & ( ~ big_q(D)
        | big_s(D)
        | ~ big_s(y_nn_1(A))
        | ~ big_p(A) )
      & ( big_p(x(A))
        | big_p(x(A))
        | big_r(A)
        | ~ big_p(A) )
      & ( ~ big_r(x(A))
        | big_p(x(A))
        | big_r(A)
        | ~ big_p(A) )
      & ( ~ big_q(D)
        | big_p(x(A))
        | big_r(A)
        | ~ big_p(A) )
      & ( big_p(x(A))
        | ~ big_r(x(A))
        | big_r(A)
        | ~ big_p(A) )
      & ( ~ big_r(x(A))
        | ~ big_r(x(A))
        | big_r(A)
        | ~ big_p(A) )
      & ( ~ big_q(D)
        | ~ big_r(x(A))
        | big_r(A)
        | ~ big_p(A) )
      & ( big_p(x(A))
        | big_s(D)
        | big_r(A)
        | ~ big_p(A) )
      & ( ~ big_r(x(A))
        | big_s(D)
        | big_r(A)
        | ~ big_p(A) )
      & ( ~ big_q(D)
        | big_s(D)
        | big_r(A)
        | ~ big_p(A) )
      & ( big_p(x(A))
        | big_p(x(A))
        | big_q(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_p(x(A))
        | big_q(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_p(x(A))
        | big_q(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | ~ big_r(x(A))
        | big_q(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | ~ big_r(x(A))
        | big_q(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_q(D)
        | ~ big_r(x(A))
        | big_q(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_s(D)
        | big_q(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_s(D)
        | big_q(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_s(D)
        | big_q(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_p(x(A))
        | ~ big_s(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_p(x(A))
        | ~ big_s(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_p(x(A))
        | ~ big_s(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | ~ big_r(x(A))
        | ~ big_s(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | ~ big_r(x(A))
        | ~ big_s(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_q(D)
        | ~ big_r(x(A))
        | ~ big_s(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_s(D)
        | ~ big_s(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_s(D)
        | ~ big_s(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_s(D)
        | ~ big_s(y_nn_1(A))
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_p(x(A))
        | big_r(A)
        | big_q(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_p(x(A))
        | big_r(A)
        | big_q(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_p(x(A))
        | big_r(A)
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | ~ big_r(x(A))
        | big_r(A)
        | big_q(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | ~ big_r(x(A))
        | big_r(A)
        | big_q(y_nn_1(A)) )
      & ( ~ big_q(D)
        | ~ big_r(x(A))
        | big_r(A)
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_s(D)
        | big_r(A)
        | big_q(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_s(D)
        | big_r(A)
        | big_q(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_s(D)
        | big_r(A)
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_p(x(A))
        | big_q(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_p(x(A))
        | big_q(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_p(x(A))
        | big_q(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( big_p(x(A))
        | ~ big_r(x(A))
        | big_q(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | ~ big_r(x(A))
        | big_q(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_q(D)
        | ~ big_r(x(A))
        | big_q(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_s(D)
        | big_q(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_s(D)
        | big_q(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_s(D)
        | big_q(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_p(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_p(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_p(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( big_p(x(A))
        | ~ big_r(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | ~ big_r(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_q(D)
        | ~ big_r(x(A))
        | ~ big_s(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_s(D)
        | ~ big_s(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_s(D)
        | ~ big_s(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_s(D)
        | ~ big_s(y_nn_1(A))
        | ~ big_s(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_p(x(A))
        | big_r(A)
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_p(x(A))
        | big_r(A)
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_p(x(A))
        | big_r(A)
        | ~ big_s(y_nn_1(A)) )
      & ( big_p(x(A))
        | ~ big_r(x(A))
        | big_r(A)
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | ~ big_r(x(A))
        | big_r(A)
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_q(D)
        | ~ big_r(x(A))
        | big_r(A)
        | ~ big_s(y_nn_1(A)) )
      & ( big_p(x(A))
        | big_s(D)
        | big_r(A)
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_r(x(A))
        | big_s(D)
        | big_r(A)
        | ~ big_s(y_nn_1(A)) )
      & ( ~ big_q(D)
        | big_s(D)
        | big_r(A)
        | ~ big_s(y_nn_1(A)) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN056+1.tptp',unknown),
    [] ).

cnf(160969104,plain,
    ( ~ big_q(D)
    | big_s(D)
    | big_r(A)
    | ~ big_p(A) ),
    inference(rewrite,[status(thm)],[pel26]),
    [] ).

fof(pel26_1,plain,
    ! [A,D] :
      ( ( ~ big_p(A)
        | big_q(y_nn_1(A)) )
      & ( big_p(x(A))
        | ~ big_q(D) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN056+1.tptp',unknown),
    [] ).

cnf(160112192,plain,
    ( big_p(x(A))
    | ~ big_q(D) ),
    inference(rewrite,[status(thm)],[pel26_1]),
    [] ).

cnf(262563400,plain,
    ( ~ big_q(C)
    | big_s(C)
    | big_r(x(D))
    | ~ big_q(G) ),
    inference(resolution,[status(thm)],[160969104,160112192]),
    [] ).

cnf(160118824,plain,
    ( ~ big_p(A)
    | big_q(y_nn_1(A)) ),
    inference(rewrite,[status(thm)],[pel26_1]),
    [] ).

cnf(262612424,plain,
    ( big_s(y_nn_1(F))
    | big_r(x(C))
    | ~ big_p(F) ),
    inference(resolution,[status(thm)],[262563400,160118824]),
    [] ).

fof(pel26_2,plain,
    ! [A,B] :
      ( ( big_r(A)
        | ~ big_s(B)
        | ~ big_p(A)
        | ~ big_q(B) )
      & ( ~ big_r(A)
        | big_s(B)
        | ~ big_p(A)
        | ~ big_q(B) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN056+1.tptp',unknown),
    [] ).

cnf(160145960,plain,
    ( big_r(A)
    | ~ big_s(B)
    | ~ big_p(A)
    | ~ big_q(B) ),
    inference(rewrite,[status(thm)],[pel26_2]),
    [] ).

cnf(258724816,plain,
    ( big_r(A)
    | ~ big_s(y_nn_1(B))
    | ~ big_p(A)
    | ~ big_p(B) ),
    inference(resolution,[status(thm)],[160145960,160118824]),
    [] ).

cnf(258383672,plain,
    ( ~ big_p(A)
    | big_p(x(B)) ),
    inference(resolution,[status(thm)],[160118824,160112192]),
    [] ).

cnf(160964208,plain,
    ( big_p(x(A))
    | big_q(y_nn_1(A)) ),
    inference(rewrite,[status(thm)],[pel26]),
    [] ).

cnf(258362744,plain,
    ( big_p(x(A))
    | big_p(x(D)) ),
    inference(resolution,[status(thm)],[160112192,160964208]),
    [] ).

cnf(258426560,plain,
    ( big_p(x(A))
    | big_p(x(B)) ),
    inference(resolution,[status(thm)],[258383672,258362744]),
    [] ).

cnf(258453584,plain,
    big_p(x(B)),
    inference(resolution,[status(thm)],[258426560,258383672]),
    [] ).

cnf(262825440,plain,
    ( big_r(x(C))
    | ~ big_p(A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[262612424,258724816,258453584]),
    [] ).

cnf(160931336,plain,
    ( ~ big_q(D)
    | big_s(D)
    | big_q(y_nn_1(A)) ),
    inference(rewrite,[status(thm)],[pel26]),
    [] ).

cnf(160954528,plain,
    ( ~ big_r(x(A))
    | big_q(y_nn_1(A)) ),
    inference(rewrite,[status(thm)],[pel26]),
    [] ).

cnf(258771832,plain,
    ( ~ big_q(A)
    | big_q(y_nn_1(B)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[160931336,160964208,160145960,160954528]),
    [] ).

cnf(258444936,plain,
    big_q(y_nn_1(x(A))),
    inference(resolution,[status(thm)],[258426560,160118824]),
    [] ).

cnf(258851200,plain,
    big_q(y_nn_1(A)),
    inference(resolution,[status(thm)],[258771832,258444936]),
    [] ).

cnf(160131992,plain,
    ( ~ big_r(A)
    | big_s(B)
    | ~ big_p(A)
    | ~ big_q(B) ),
    inference(rewrite,[status(thm)],[pel26_2]),
    [] ).

cnf(258883672,plain,
    ( ~ big_r(B)
    | big_s(y_nn_1(A))
    | ~ big_p(B) ),
    inference(resolution,[status(thm)],[258851200,160131992]),
    [] ).

cnf(160886728,plain,
    ( big_p(x(A))
    | ~ big_s(y_nn_1(A)) ),
    inference(rewrite,[status(thm)],[pel26]),
    [] ).

cnf(258462296,plain,
    ( ~ big_s(y_nn_1(A))
    | big_q(y_nn_1(x(A))) ),
    inference(resolution,[status(thm)],[160886728,160118824]),
    [] ).

cnf(259055080,plain,
    ( ~ big_r(B)
    | big_s(y_nn_1(x(A)))
    | ~ big_p(B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[258883672,258462296,160131992]),
    [] ).

cnf(263025416,plain,
    ( big_s(y_nn_1(x(A)))
    | ~ big_p(B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[262825440,259055080,258383672]),
    [] ).

cnf(263031712,plain,
    big_s(y_nn_1(x(A))),
    inference(resolution,[status(thm)],[263025416,258453584]),
    [] ).

cnf(258505456,plain,
    ( ~ big_r(x(C))
    | big_s(A)
    | ~ big_q(A) ),
    inference(resolution,[status(thm)],[160131992,258453584]),
    [] ).

cnf(160882032,plain,
    ( ~ big_q(D)
    | big_p(x(A))
    | ~ big_s(y_nn_1(A)) ),
    inference(rewrite,[status(thm)],[pel26]),
    [] ).

cnf(160853712,plain,
    ( ~ big_q(D)
    | big_s(D)
    | ~ big_s(y_nn_1(A)) ),
    inference(rewrite,[status(thm)],[pel26]),
    [] ).

cnf(160877000,plain,
    ( ~ big_r(x(A))
    | ~ big_s(y_nn_1(A)) ),
    inference(rewrite,[status(thm)],[pel26]),
    [] ).

cnf(258810296,plain,
    ( ~ big_q(A)
    | ~ big_s(y_nn_1(B)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[160882032,160853712,160145960,160877000]),
    [] ).

cnf(258961136,plain,
    ~ big_s(y_nn_1(A)),
    inference(resolution,[status(thm)],[258810296,258851200]),
    [] ).

cnf(259451184,plain,
    ~ big_r(x(B)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[258851200,258505456,258961136]),
    [] ).

cnf(259461888,plain,
    ( ~ big_s(C)
    | ~ big_q(C) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[160112192,259451184,160145960]),
    [] ).

cnf(262799640,plain,
    ( big_s(y_nn_1(x(G)))
    | big_r(x(C)) ),
    inference(resolution,[status(thm)],[262612424,258453584]),
    [] ).

cnf(262829048,plain,
    big_r(x(B)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[262799640,258724816,258453584]),
    [] ).

cnf(258562936,plain,
    ( ~ big_r(A)
    | ~ big_p(A)
    | big_p(x(B)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[160964208,160131992,160886728]),
    [] ).

cnf(259980144,plain,
    ( ~ big_r(A)
    | ~ big_p(A)
    | big_q(y_nn_1(x(B))) ),
    inference(resolution,[status(thm)],[258562936,160118824]),
    [] ).

cnf(263291296,plain,
    big_q(y_nn_1(x(A))),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[262829048,259980144,258453584]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[263031712,259461888,263291296]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel26,plain,(((big_p(x(A))|big_p(x(A))|big_q(y_nn_1(A))|~big_p(A))&(~big_r(x(A))|big_p(x(A))|big_q(y_nn_1(A))|~big_p(A))&(~big_q(D)|big_p(x(A))|big_q(y_nn_1(A))|~big_p(A))&(big_p(x(A))|~big_r(x(A))|big_q(y_nn_1(A))|~big_p(A))&(~big_r(x(A))|~big_r(x(A))|big_q(y_nn_1(A))|~big_p(A))&(~big_q(D)|~big_r(x(A))|big_q(y_nn_1(A))|~big_p(A))&(big_p(x(A))|big_s(D)|big_q(y_nn_1(A))|~big_p(A))&(~big_r(x(A))|big_s(D)|big_q(y_nn_1(A))|~big_p(A))&(~big_q(D)|big_s(D)|big_q(y_nn_1(A))|~big_p(A))&(big_p(x(A))|big_p(x(A))|~big_s(y_nn_1(A))|~big_p(A))&(~big_r(x(A))|big_p(x(A))|~big_s(y_nn_1(A))|~big_p(A))&(~big_q(D)|big_p(x(A))|~big_s(y_nn_1(A))|~big_p(A))&(big_p(x(A))|~big_r(x(A))|~big_s(y_nn_1(A))|~big_p(A))&(~big_r(x(A))|~big_r(x(A))|~big_s(y_nn_1(A))|~big_p(A))&(~big_q(D)|~big_r(x(A))|~big_s(y_nn_1(A))|~big_p(A))&(big_p(x(A))|big_s(D)|~big_s(y_nn_1(A))|~big_p(A))&(~big_r(x(A))|big_s(D)|~big_s(y_nn_1(A))|~big_p(A))&(~big_q(D)|big_s(D)|~big_s(y_nn_1(A))|~big_p(A))&(big_p(x(A))|big_p(x(A))|big_r(A)|~big_p(A))&(~big_r(x(A))|big_p(x(A))|big_r(A)|~big_p(A))&(~big_q(D)|big_p(x(A))|big_r(A)|~big_p(A))&(big_p(x(A))|~big_r(x(A))|big_r(A)|~big_p(A))&(~big_r(x(A))|~big_r(x(A))|big_r(A)|~big_p(A))&(~big_q(D)|~big_r(x(A))|big_r(A)|~big_p(A))&(big_p(x(A))|big_s(D)|big_r(A)|~big_p(A))&(~big_r(x(A))|big_s(D)|big_r(A)|~big_p(A))&(~big_q(D)|big_s(D)|big_r(A)|~big_p(A))&(big_p(x(A))|big_p(x(A))|big_q(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_r(x(A))|big_p(x(A))|big_q(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_q(D)|big_p(x(A))|big_q(y_nn_1(A))|big_q(y_nn_1(A)))&(big_p(x(A))|~big_r(x(A))|big_q(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_r(x(A))|~big_r(x(A))|big_q(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_q(D)|~big_r(x(A))|big_q(y_nn_1(A))|big_q(y_nn_1(A)))&(big_p(x(A))|big_s(D)|big_q(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_r(x(A))|big_s(D)|big_q(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_q(D)|big_s(D)|big_q(y_nn_1(A))|big_q(y_nn_1(A)))&(big_p(x(A))|big_p(x(A))|~big_s(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_r(x(A))|big_p(x(A))|~big_s(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_q(D)|big_p(x(A))|~big_s(y_nn_1(A))|big_q(y_nn_1(A)))&(big_p(x(A))|~big_r(x(A))|~big_s(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_r(x(A))|~big_r(x(A))|~big_s(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_q(D)|~big_r(x(A))|~big_s(y_nn_1(A))|big_q(y_nn_1(A)))&(big_p(x(A))|big_s(D)|~big_s(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_r(x(A))|big_s(D)|~big_s(y_nn_1(A))|big_q(y_nn_1(A)))&(~big_q(D)|big_s(D)|~big_s(y_nn_1(A))|big_q(y_nn_1(A)))&(big_p(x(A))|big_p(x(A))|big_r(A)|big_q(y_nn_1(A)))&(~big_r(x(A))|big_p(x(A))|big_r(A)|big_q(y_nn_1(A)))&(~big_q(D)|big_p(x(A))|big_r(A)|big_q(y_nn_1(A)))&(big_p(x(A))|~big_r(x(A))|big_r(A)|big_q(y_nn_1(A)))&(~big_r(x(A))|~big_r(x(A))|big_r(A)|big_q(y_nn_1(A)))&(~big_q(D)|~big_r(x(A))|big_r(A)|big_q(y_nn_1(A)))&(big_p(x(A))|big_s(D)|big_r(A)|big_q(y_nn_1(A)))&(~big_r(x(A))|big_s(D)|big_r(A)|big_q(y_nn_1(A)))&(~big_q(D)|big_s(D)|big_r(A)|big_q(y_nn_1(A)))&(big_p(x(A))|big_p(x(A))|big_q(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_r(x(A))|big_p(x(A))|big_q(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_q(D)|big_p(x(A))|big_q(y_nn_1(A))|~big_s(y_nn_1(A)))&(big_p(x(A))|~big_r(x(A))|big_q(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_r(x(A))|~big_r(x(A))|big_q(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_q(D)|~big_r(x(A))|big_q(y_nn_1(A))|~big_s(y_nn_1(A)))&(big_p(x(A))|big_s(D)|big_q(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_r(x(A))|big_s(D)|big_q(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_q(D)|big_s(D)|big_q(y_nn_1(A))|~big_s(y_nn_1(A)))&(big_p(x(A))|big_p(x(A))|~big_s(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_r(x(A))|big_p(x(A))|~big_s(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_q(D)|big_p(x(A))|~big_s(y_nn_1(A))|~big_s(y_nn_1(A)))&(big_p(x(A))|~big_r(x(A))|~big_s(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_r(x(A))|~big_r(x(A))|~big_s(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_q(D)|~big_r(x(A))|~big_s(y_nn_1(A))|~big_s(y_nn_1(A)))&(big_p(x(A))|big_s(D)|~big_s(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_r(x(A))|big_s(D)|~big_s(y_nn_1(A))|~big_s(y_nn_1(A)))&(~big_q(D)|big_s(D)|~big_s(y_nn_1(A))|~big_s(y_nn_1(A)))&(big_p(x(A))|big_p(x(A))|big_r(A)|~big_s(y_nn_1(A)))&(~big_r(x(A))|big_p(x(A))|big_r(A)|~big_s(y_nn_1(A)))&(~big_q(D)|big_p(x(A))|big_r(A)|~big_s(y_nn_1(A)))&(big_p(x(A))|~big_r(x(A))|big_r(A)|~big_s(y_nn_1(A)))&(~big_r(x(A))|~big_r(x(A))|big_r(A)|~big_s(y_nn_1(A)))&(~big_q(D)|~big_r(x(A))|big_r(A)|~big_s(y_nn_1(A)))&(big_p(x(A))|big_s(D)|big_r(A)|~big_s(y_nn_1(A)))&(~big_r(x(A))|big_s(D)|big_r(A)|~big_s(y_nn_1(A)))&(~big_q(D)|big_s(D)|big_r(A)|~big_s(y_nn_1(A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN056+1.tptp',unknown),[]).
% 
% cnf(160969104,plain,(~big_q(D)|big_s(D)|big_r(A)|~big_p(A)),inference(rewrite,[status(thm)],[pel26]),[]).
% 
% fof(pel26_1,plain,(((~big_p(A)|big_q(y_nn_1(A)))&(big_p(x(A))|~big_q(D)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN056+1.tptp',unknown),[]).
% 
% cnf(160112192,plain,(big_p(x(A))|~big_q(D)),inference(rewrite,[status(thm)],[pel26_1]),[]).
% 
% cnf(262563400,plain,(~big_q(C)|big_s(C)|big_r(x(D))|~big_q(G)),inference(resolution,[status(thm)],[160969104,160112192]),[]).
% 
% cnf(160118824,plain,(~big_p(A)|big_q(y_nn_1(A))),inference(rewrite,[status(thm)],[pel26_1]),[]).
% 
% cnf(262612424,plain,(big_s(y_nn_1(F))|big_r(x(C))|~big_p(F)),inference(resolution,[status(thm)],[262563400,160118824]),[]).
% 
% fof(pel26_2,plain,(((big_r(A)|~big_s(B)|~big_p(A)|~big_q(B))&(~big_r(A)|big_s(B)|~big_p(A)|~big_q(B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN056+1.tptp',unknown),[]).
% 
% cnf(160145960,plain,(big_r(A)|~big_s(B)|~big_p(A)|~big_q(B)),inference(rewrite,[status(thm)],[pel26_2]),[]).
% 
% cnf(258724816,plain,(big_r(A)|~big_s(y_nn_1(B))|~big_p(A)|~big_p(B)),inference(resolution,[status(thm)],[160145960,160118824]),[]).
% 
% cnf(258383672,plain,(~big_p(A)|big_p(x(B))),inference(resolution,[status(thm)],[160118824,160112192]),[]).
% 
% cnf(160964208,plain,(big_p(x(A))|big_q(y_nn_1(A))),inference(rewrite,[status(thm)],[pel26]),[]).
% 
% cnf(258362744,plain,(big_p(x(A))|big_p(x(D))),inference(resolution,[status(thm)],[160112192,160964208]),[]).
% 
% cnf(258426560,plain,(big_p(x(A))|big_p(x(B))),inference(resolution,[status(thm)],[258383672,258362744]),[]).
% 
% cnf(258453584,plain,(big_p(x(B))),inference(resolution,[status(thm)],[258426560,258383672]),[]).
% 
% cnf(262825440,plain,(big_r(x(C))|~big_p(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[262612424,258724816,258453584]),[]).
% 
% cnf(160931336,plain,(~big_q(D)|big_s(D)|big_q(y_nn_1(A))),inference(rewrite,[status(thm)],[pel26]),[]).
% 
% cnf(160954528,plain,(~big_r(x(A))|big_q(y_nn_1(A))),inference(rewrite,[status(thm)],[pel26]),[]).
% 
% cnf(258771832,plain,(~big_q(A)|big_q(y_nn_1(B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160931336,160964208,160145960,160954528]),[]).
% 
% cnf(258444936,plain,(big_q(y_nn_1(x(A)))),inference(resolution,[status(thm)],[258426560,160118824]),[]).
% 
% cnf(258851200,plain,(big_q(y_nn_1(A))),inference(resolution,[status(thm)],[258771832,258444936]),[]).
% 
% cnf(160131992,plain,(~big_r(A)|big_s(B)|~big_p(A)|~big_q(B)),inference(rewrite,[status(thm)],[pel26_2]),[]).
% 
% cnf(258883672,plain,(~big_r(B)|big_s(y_nn_1(A))|~big_p(B)),inference(resolution,[status(thm)],[258851200,160131992]),[]).
% 
% cnf(160886728,plain,(big_p(x(A))|~big_s(y_nn_1(A))),inference(rewrite,[status(thm)],[pel26]),[]).
% 
% cnf(258462296,plain,(~big_s(y_nn_1(A))|big_q(y_nn_1(x(A)))),inference(resolution,[status(thm)],[160886728,160118824]),[]).
% 
% cnf(259055080,plain,(~big_r(B)|big_s(y_nn_1(x(A)))|~big_p(B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[258883672,258462296,160131992]),[]).
% 
% cnf(263025416,plain,(big_s(y_nn_1(x(A)))|~big_p(B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[262825440,259055080,258383672]),[]).
% 
% cnf(263031712,plain,(big_s(y_nn_1(x(A)))),inference(resolution,[status(thm)],[263025416,258453584]),[]).
% 
% cnf(258505456,plain,(~big_r(x(C))|big_s(A)|~big_q(A)),inference(resolution,[status(thm)],[160131992,258453584]),[]).
% 
% cnf(160882032,plain,(~big_q(D)|big_p(x(A))|~big_s(y_nn_1(A))),inference(rewrite,[status(thm)],[pel26]),[]).
% 
% cnf(160853712,plain,(~big_q(D)|big_s(D)|~big_s(y_nn_1(A))),inference(rewrite,[status(thm)],[pel26]),[]).
% 
% cnf(160877000,plain,(~big_r(x(A))|~big_s(y_nn_1(A))),inference(rewrite,[status(thm)],[pel26]),[]).
% 
% cnf(258810296,plain,(~big_q(A)|~big_s(y_nn_1(B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160882032,160853712,160145960,160877000]),[]).
% 
% cnf(258961136,plain,(~big_s(y_nn_1(A))),inference(resolution,[status(thm)],[258810296,258851200]),[]).
% 
% cnf(259451184,plain,(~big_r(x(B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[258851200,258505456,258961136]),[]).
% 
% cnf(259461888,plain,(~big_s(C)|~big_q(C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[160112192,259451184,160145960]),[]).
% 
% cnf(262799640,plain,(big_s(y_nn_1(x(G)))|big_r(x(C))),inference(resolution,[status(thm)],[262612424,258453584]),[]).
% 
% cnf(262829048,plain,(big_r(x(B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[262799640,258724816,258453584]),[]).
% 
% cnf(258562936,plain,(~big_r(A)|~big_p(A)|big_p(x(B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160964208,160131992,160886728]),[]).
% 
% cnf(259980144,plain,(~big_r(A)|~big_p(A)|big_q(y_nn_1(x(B)))),inference(resolution,[status(thm)],[258562936,160118824]),[]).
% 
% cnf(263291296,plain,(big_q(y_nn_1(x(A)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[262829048,259980144,258453584]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[263031712,259461888,263291296]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------