TSTP Solution File: LCL414+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LCL414+1 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:49:33 EDT 2009

% Result   : Theorem 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :  390 (   0 equ)
%            Maximal formula atoms :  375 (  35 avg)
%            Number of connectives :  510 ( 131   ~; 255   |; 124   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  137 (  14 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-9 aty)
%            Number of variables   :   36 (   6 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm147,plain,
    ! [C,D,A,B,E,F,G,H,I] :
      ( ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(A,B)) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(B)
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(A,B)) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(B)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(A,B)) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(B)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(A,B)) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(B)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(A)
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(A)
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(A)
        | ~ a_truth(implies(A,B)) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(A)
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(B)
        | ~ a_truth(A)
        | ~ a_truth(implies(A,B)) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(B)
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(B)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(B)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(B)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(A)
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(A)
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(A)
        | a_truth(implies(C,implies(D,C))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(A)
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(B)
        | ~ a_truth(A)
        | a_truth(implies(C,implies(D,C))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(B)
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(B)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(B)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(B)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(A)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(A)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(A)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(A)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(B)
        | ~ a_truth(A)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(B)
        | a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(B)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(B)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(B)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(A)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(A)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(A)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(A)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(B)
        | ~ a_truth(A)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(B)
        | a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(B)
        | a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(C,implies(D,C)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(B)
        | a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(B)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(C,implies(D,C)))
        | ~ a_truth(A)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))
        | ~ a_truth(A)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(implies(implies(not(H),not(I)),implies(I,H)))
        | ~ a_truth(A)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
        | ~ a_truth(A)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) )
      & ( a_truth(B)
        | ~ a_truth(A)
        | ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414+1.tptp',unknown),
    [] ).

cnf(172187304,plain,
    ( a_truth(B)
    | ~ a_truth(A)
    | ~ a_truth(implies(A,B)) ),
    inference(rewrite,[status(thm)],[thm147]),
    [] ).

cnf(172183208,plain,
    a_truth(implies(C,implies(D,C))),
    inference(rewrite,[status(thm)],[thm147]),
    [] ).

cnf(222103432,plain,
    ( a_truth(A)
    | ~ a_truth(implies(implies(D,implies(E,D)),A)) ),
    inference(resolution,[status(thm)],[172187304,172183208]),
    [] ).

cnf(172149272,plain,
    a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))),
    inference(rewrite,[status(thm)],[thm147]),
    [] ).

cnf(222753144,plain,
    a_truth(implies(implies(C,D),implies(C,C))),
    inference(resolution,[status(thm)],[222103432,172149272]),
    [] ).

cnf(222837208,plain,
    a_truth(implies(C,C)),
    inference(resolution,[status(thm)],[222753144,222103432]),
    [] ).

cnf(172021832,plain,
    ( ~ a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))
    | ~ a_truth(A) ),
    inference(rewrite,[status(thm)],[thm147]),
    [] ).

cnf(222109040,plain,
    ( a_truth(implies(D,A))
    | ~ a_truth(A) ),
    inference(resolution,[status(thm)],[172187304,172183208]),
    [] ).

cnf(222313816,plain,
    a_truth(implies(C,implies(F,implies(G,F)))),
    inference(resolution,[status(thm)],[222109040,172183208]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[222837208,172021832,222313816]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(thm147,plain,(((a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C)))|~a_truth(implies(A,B)))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C)))|~a_truth(implies(A,B)))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C)))|~a_truth(implies(A,B)))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C)))|~a_truth(implies(A,B)))&(a_truth(B)|a_truth(implies(C,implies(D,C)))|~a_truth(implies(A,B)))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(A,B)))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(A,B)))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(A,B)))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(A,B)))&(a_truth(B)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(A,B)))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(A,B)))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(A,B)))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(A,B)))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(A,B)))&(a_truth(B)|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(A,B)))&(a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(A,B)))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(A,B)))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(A,B)))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(A,B)))&(a_truth(B)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(A,B)))&(a_truth(implies(C,implies(D,C)))|~a_truth(A)|~a_truth(implies(A,B)))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(A)|~a_truth(implies(A,B)))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(A)|~a_truth(implies(A,B)))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(A)|~a_truth(implies(A,B)))&(a_truth(B)|~a_truth(A)|~a_truth(implies(A,B)))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C))))&(a_truth(B)|a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C))))&(a_truth(B)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C))))&(a_truth(B)|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C))))&(a_truth(B)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C))))&(a_truth(implies(C,implies(D,C)))|~a_truth(A)|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(A)|a_truth(implies(C,implies(D,C))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(A)|a_truth(implies(C,implies(D,C))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(A)|a_truth(implies(C,implies(D,C))))&(a_truth(B)|~a_truth(A)|a_truth(implies(C,implies(D,C))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(B)|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(B)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(B)|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(B)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(C,implies(D,C)))|~a_truth(A)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(A)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(A)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(A)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(B)|~a_truth(A)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G)))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(B)|a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(B)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(B)|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(B)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(C,implies(D,C)))|~a_truth(A)|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(A)|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(A)|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(A)|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(B)|~a_truth(A)|a_truth(implies(implies(not(H),not(I)),implies(I,H))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(B)|a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(B)|a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(C,implies(D,C)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(B)|a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(C,implies(D,C)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(B)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(C,implies(D,C)))|~a_truth(A)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))|~a_truth(A)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(implies(implies(not(H),not(I)),implies(I,H)))|~a_truth(A)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(A)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I))))&(a_truth(B)|~a_truth(A)|~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414+1.tptp',unknown),[]).
% 
% cnf(172187304,plain,(a_truth(B)|~a_truth(A)|~a_truth(implies(A,B))),inference(rewrite,[status(thm)],[thm147]),[]).
% 
% cnf(172183208,plain,(a_truth(implies(C,implies(D,C)))),inference(rewrite,[status(thm)],[thm147]),[]).
% 
% cnf(222103432,plain,(a_truth(A)|~a_truth(implies(implies(D,implies(E,D)),A))),inference(resolution,[status(thm)],[172187304,172183208]),[]).
% 
% cnf(172149272,plain,(a_truth(implies(implies(E,implies(F,G)),implies(implies(E,F),implies(E,G))))),inference(rewrite,[status(thm)],[thm147]),[]).
% 
% cnf(222753144,plain,(a_truth(implies(implies(C,D),implies(C,C)))),inference(resolution,[status(thm)],[222103432,172149272]),[]).
% 
% cnf(222837208,plain,(a_truth(implies(C,C))),inference(resolution,[status(thm)],[222753144,222103432]),[]).
% 
% cnf(172021832,plain,(~a_truth(implies(a(A,B,C,D,E,F,G,H,I),a(A,B,C,D,E,F,G,H,I)))|~a_truth(A)),inference(rewrite,[status(thm)],[thm147]),[]).
% 
% cnf(222109040,plain,(a_truth(implies(D,A))|~a_truth(A)),inference(resolution,[status(thm)],[172187304,172183208]),[]).
% 
% cnf(222313816,plain,(a_truth(implies(C,implies(F,implies(G,F))))),inference(resolution,[status(thm)],[222109040,172183208]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[222837208,172021832,222313816]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------