TSTP Solution File: SET789+4 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET789+4 : TPTP v3.4.2. Released v3.2.0.
% 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 15:37:02 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 305 ( 0 equ)
% Maximal formula atoms : 256 ( 16 avg)
% Number of connectives : 381 ( 95 ~; 218 |; 68 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-8 aty)
% Number of variables : 27 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(greatest,plain,
! [D,B,A,C] :
( ( ~ member(D,B)
| apply(A,D,C)
| ~ greatest(C,A,B) )
& ( member(C,B)
| ~ greatest(C,A,B) )
& ( member(x(A,B,C,D),B)
| ~ member(C,B)
| greatest(C,A,B) )
& ( ~ apply(A,x(A,B,C,D),C)
| ~ member(C,B)
| greatest(C,A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET789+4.tptp',unknown),
[] ).
cnf(145908680,plain,
( member(C,B)
| ~ greatest(C,A,B) ),
inference(rewrite,[status(thm)],[greatest]),
[] ).
fof(thIV1,plain,
( order(r,e)
& greatest(m,r,e)
& greatest(x,r,e)
& ~ $equal(x,m) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET789+4.tptp',unknown),
[] ).
cnf(146340440,plain,
greatest(x,r,e),
inference(rewrite,[status(thm)],[thIV1]),
[] ).
cnf(162695296,plain,
member(x,e),
inference(resolution,[status(thm)],[145908680,146340440]),
[] ).
cnf(145915312,plain,
( ~ member(D,B)
| apply(A,D,C)
| ~ greatest(C,A,B) ),
inference(rewrite,[status(thm)],[greatest]),
[] ).
cnf(146348656,plain,
greatest(m,r,e),
inference(rewrite,[status(thm)],[thIV1]),
[] ).
cnf(163298408,plain,
( ~ member(A,e)
| apply(r,A,m) ),
inference(resolution,[status(thm)],[145915312,146348656]),
[] ).
cnf(162705552,plain,
( ~ member(A,e)
| apply(r,A,x) ),
inference(resolution,[status(thm)],[145915312,146340440]),
[] ).
fof(order,plain,
! [D,B,E,A,F,G,H,C] :
( ( ~ member(D,B)
| ~ member(E,B)
| ~ apply(A,D,E)
| ~ apply(A,E,D)
| $equal(E,D)
| ~ order(A,B) )
& ( ~ member(F,B)
| ~ member(G,B)
| ~ member(H,B)
| ~ apply(A,F,G)
| ~ apply(A,G,H)
| apply(A,F,H)
| ~ order(A,B) )
& ( ~ member(C,B)
| apply(A,C,C)
| ~ order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| ~ apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))
| order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| ~ $equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| member(x_nn_1(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( ~ apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(x(A,B,C,D,E,F,G,H),B)
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(y(A,B,C,D,E,F,G,H),B)
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) )
& ( member(z(A,B,C,D,E,F,G,H),B)
| member(y_nn_6(A,B,C,D,E,F,G,H),B)
| member(x_nn_2(A,B,C,D,E,F,G,H),B)
| order(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET789+4.tptp',unknown),
[] ).
cnf(145721232,plain,
( ~ member(D,B)
| ~ member(E,B)
| ~ apply(A,D,E)
| ~ apply(A,E,D)
| $equal(E,D)
| ~ order(A,B) ),
inference(rewrite,[status(thm)],[order]),
[] ).
cnf(146326648,plain,
~ $equal(x,m),
inference(rewrite,[status(thm)],[thIV1]),
[] ).
cnf(162631856,plain,
( ~ member(m,B)
| ~ member(x,B)
| ~ apply(A,m,x)
| ~ apply(A,x,m)
| ~ order(A,B) ),
inference(resolution,[status(thm)],[145721232,146326648]),
[] ).
cnf(146355888,plain,
order(r,e),
inference(rewrite,[status(thm)],[thIV1]),
[] ).
cnf(162685744,plain,
( ~ member(m,e)
| ~ member(x,e)
| ~ apply(r,m,x)
| ~ apply(r,x,m) ),
inference(resolution,[status(thm)],[162631856,146355888]),
[] ).
cnf(163254648,plain,
( ~ member(m,e)
| ~ apply(r,x,m) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162705552,162685744,162695296]),
[] ).
cnf(163288408,plain,
member(m,e),
inference(resolution,[status(thm)],[145908680,146348656]),
[] ).
cnf(163338480,plain,
~ apply(r,x,m),
inference(resolution,[status(thm)],[163254648,163288408]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[162695296,163298408,163338480]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(greatest,plain,(((~member(D,B)|apply(A,D,C)|~greatest(C,A,B))&(member(C,B)|~greatest(C,A,B))&(member(x(A,B,C,D),B)|~member(C,B)|greatest(C,A,B))&(~apply(A,x(A,B,C,D),C)|~member(C,B)|greatest(C,A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET789+4.tptp',unknown),[]).
%
% cnf(145908680,plain,(member(C,B)|~greatest(C,A,B)),inference(rewrite,[status(thm)],[greatest]),[]).
%
% fof(thIV1,plain,((order(r,e)&greatest(m,r,e)&greatest(x,r,e)&~$equal(x,m))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET789+4.tptp',unknown),[]).
%
% cnf(146340440,plain,(greatest(x,r,e)),inference(rewrite,[status(thm)],[thIV1]),[]).
%
% cnf(162695296,plain,(member(x,e)),inference(resolution,[status(thm)],[145908680,146340440]),[]).
%
% cnf(145915312,plain,(~member(D,B)|apply(A,D,C)|~greatest(C,A,B)),inference(rewrite,[status(thm)],[greatest]),[]).
%
% cnf(146348656,plain,(greatest(m,r,e)),inference(rewrite,[status(thm)],[thIV1]),[]).
%
% cnf(163298408,plain,(~member(A,e)|apply(r,A,m)),inference(resolution,[status(thm)],[145915312,146348656]),[]).
%
% cnf(162705552,plain,(~member(A,e)|apply(r,A,x)),inference(resolution,[status(thm)],[145915312,146340440]),[]).
%
% fof(order,plain,(((~member(D,B)|~member(E,B)|~apply(A,D,E)|~apply(A,E,D)|$equal(E,D)|~order(A,B))&(~member(F,B)|~member(G,B)|~member(H,B)|~apply(A,F,G)|~apply(A,G,H)|apply(A,F,H)|~order(A,B))&(~member(C,B)|apply(A,C,C)|~order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|member(x_nn_1(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|member(x_nn_1(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|member(x_nn_1(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|member(x_nn_1(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|member(x_nn_1(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|member(x_nn_1(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|member(y_nn_6(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|member(y_nn_6(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|member(y_nn_6(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|member(y_nn_6(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|member(y_nn_6(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|member(y_nn_6(A,B,C,D,E,F,G,H),B)|~apply(A,x_nn_2(A,B,C,D,E,F,G,H),x_nn_2(A,B,C,D,E,F,G,H))|order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|apply(A,x_nn_1(A,B,C,D,E,F,G,H),y_nn_6(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|apply(A,y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|~$equal(y_nn_6(A,B,C,D,E,F,G,H),x_nn_1(A,B,C,D,E,F,G,H))|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|member(x_nn_1(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|member(x_nn_1(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|member(x_nn_1(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|member(x_nn_1(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|member(x_nn_1(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|member(x_nn_1(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(apply(A,x(A,B,C,D,E,F,G,H),y(A,B,C,D,E,F,G,H))|member(y_nn_6(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(apply(A,y(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|member(y_nn_6(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(~apply(A,x(A,B,C,D,E,F,G,H),z(A,B,C,D,E,F,G,H))|member(y_nn_6(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(x(A,B,C,D,E,F,G,H),B)|member(y_nn_6(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(y(A,B,C,D,E,F,G,H),B)|member(y_nn_6(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B))&(member(z(A,B,C,D,E,F,G,H),B)|member(y_nn_6(A,B,C,D,E,F,G,H),B)|member(x_nn_2(A,B,C,D,E,F,G,H),B)|order(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET789+4.tptp',unknown),[]).
%
% cnf(145721232,plain,(~member(D,B)|~member(E,B)|~apply(A,D,E)|~apply(A,E,D)|$equal(E,D)|~order(A,B)),inference(rewrite,[status(thm)],[order]),[]).
%
% cnf(146326648,plain,(~$equal(x,m)),inference(rewrite,[status(thm)],[thIV1]),[]).
%
% cnf(162631856,plain,(~member(m,B)|~member(x,B)|~apply(A,m,x)|~apply(A,x,m)|~order(A,B)),inference(resolution,[status(thm)],[145721232,146326648]),[]).
%
% cnf(146355888,plain,(order(r,e)),inference(rewrite,[status(thm)],[thIV1]),[]).
%
% cnf(162685744,plain,(~member(m,e)|~member(x,e)|~apply(r,m,x)|~apply(r,x,m)),inference(resolution,[status(thm)],[162631856,146355888]),[]).
%
% cnf(163254648,plain,(~member(m,e)|~apply(r,x,m)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162705552,162685744,162695296]),[]).
%
% cnf(163288408,plain,(member(m,e)),inference(resolution,[status(thm)],[145908680,146348656]),[]).
%
% cnf(163338480,plain,(~apply(r,x,m)),inference(resolution,[status(thm)],[163254648,163288408]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[162695296,163298408,163338480]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------