%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET791+4 : TPTP v3.4.2. Released v3.2.0.
% 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 15:37:08 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 324 ( 0 equ)
% Maximal formula atoms : 256 ( 15 avg)
% Number of connectives : 406 ( 103 ~; 232 |; 71 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-8 aty)
% Number of variables : 47 ( 7 sgn 16 !; 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/SET791+4.tptp',unknown),
[] ).
cnf(155856024,plain,
( ~ member(D,B)
| apply(A,D,C)
| ~ greatest(C,A,B) ),
inference(rewrite,[status(thm)],[greatest]),
[] ).
fof(thIV3,plain,
( order(r,e)
& greatest(m,r,e)
& ~ max(m,r,e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET791+4.tptp',unknown),
[] ).
cnf(156267960,plain,
greatest(m,r,e),
inference(rewrite,[status(thm)],[thIV3]),
[] ).
cnf(169786408,plain,
( ~ member(A,e)
| apply(r,A,m) ),
inference(resolution,[status(thm)],[155856024,156267960]),
[] ).
cnf(155849392,plain,
( member(C,B)
| ~ greatest(C,A,B) ),
inference(rewrite,[status(thm)],[greatest]),
[] ).
cnf(169771968,plain,
member(m,e),
inference(resolution,[status(thm)],[155849392,156267960]),
[] ).
fof(max,plain,
! [D,B,A,C] :
( ( ~ member(D,B)
| ~ apply(A,C,D)
| $equal(D,C)
| ~ max(C,A,B) )
& ( member(C,B)
| ~ max(C,A,B) )
& ( member(x(A,B,C,D),B)
| ~ member(C,B)
| max(C,A,B) )
& ( apply(A,C,x(A,B,C,D))
| ~ member(C,B)
| max(C,A,B) )
& ( ~ $equal(x(A,B,C,D),C)
| ~ member(C,B)
| max(C,A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET791+4.tptp',unknown),
[] ).
cnf(155956192,plain,
( member(x(A,B,C,D),B)
| ~ member(C,B)
| max(C,A,B) ),
inference(rewrite,[status(thm)],[max]),
[] ).
cnf(156254024,plain,
~ max(m,r,e),
inference(rewrite,[status(thm)],[thIV3]),
[] ).
cnf(170540952,plain,
member(x(r,e,m,A),e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169771968,155956192,156254024]),
[] ).
cnf(156276312,plain,
order(r,e),
inference(rewrite,[status(thm)],[thIV3]),
[] ).
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/SET791+4.tptp',unknown),
[] ).
cnf(155661944,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(155943920,plain,
( apply(A,C,x(A,B,C,D))
| ~ member(C,B)
| max(C,A,B) ),
inference(rewrite,[status(thm)],[max]),
[] ).
cnf(170570704,plain,
apply(r,m,x(r,e,m,A)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169771968,155943920,156254024]),
[] ).
cnf(170790800,plain,
( ~ member(m,A)
| ~ member(x(r,e,m,C),A)
| ~ apply(r,x(r,e,m,C),m)
| $equal(x(r,e,m,C),m)
| ~ order(r,A) ),
inference(resolution,[status(thm)],[155661944,170570704]),
[] ).
cnf(155927504,plain,
( ~ $equal(x(A,B,C,D),C)
| ~ member(C,B)
| max(C,A,B) ),
inference(rewrite,[status(thm)],[max]),
[] ).
cnf(170555352,plain,
~ $equal(x(r,e,m,A),m),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169771968,155927504,156254024]),
[] ).
cnf(170812072,plain,
( ~ member(m,A)
| ~ member(x(r,e,m,C),A)
| ~ apply(r,x(r,e,m,C),m)
| ~ order(r,A) ),
inference(resolution,[status(thm)],[170790800,170555352]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[169786408,170540952,156276312,170812072,169771968]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(greatest,plain,(((~member(D,B)|apply(A,D,C)|~greatest(C,A,B))&(member(C,B)|~greatest(C,A,B))&(member(x(A,B,C,D),B)|~member(C,B)|greatest(C,A,B))&(~apply(A,x(A,B,C,D),C)|~member(C,B)|greatest(C,A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET791+4.tptp',unknown),[]).
%
% cnf(155856024,plain,(~member(D,B)|apply(A,D,C)|~greatest(C,A,B)),inference(rewrite,[status(thm)],[greatest]),[]).
%
% fof(thIV3,plain,((order(r,e)&greatest(m,r,e)&~max(m,r,e))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET791+4.tptp',unknown),[]).
%
% cnf(156267960,plain,(greatest(m,r,e)),inference(rewrite,[status(thm)],[thIV3]),[]).
%
% cnf(169786408,plain,(~member(A,e)|apply(r,A,m)),inference(resolution,[status(thm)],[155856024,156267960]),[]).
%
% cnf(155849392,plain,(member(C,B)|~greatest(C,A,B)),inference(rewrite,[status(thm)],[greatest]),[]).
%
% cnf(169771968,plain,(member(m,e)),inference(resolution,[status(thm)],[155849392,156267960]),[]).
%
% fof(max,plain,(((~member(D,B)|~apply(A,C,D)|$equal(D,C)|~max(C,A,B))&(member(C,B)|~max(C,A,B))&(member(x(A,B,C,D),B)|~member(C,B)|max(C,A,B))&(apply(A,C,x(A,B,C,D))|~member(C,B)|max(C,A,B))&(~$equal(x(A,B,C,D),C)|~member(C,B)|max(C,A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET791+4.tptp',unknown),[]).
%
% cnf(155956192,plain,(member(x(A,B,C,D),B)|~member(C,B)|max(C,A,B)),inference(rewrite,[status(thm)],[max]),[]).
%
% cnf(156254024,plain,(~max(m,r,e)),inference(rewrite,[status(thm)],[thIV3]),[]).
%
% cnf(170540952,plain,(member(x(r,e,m,A),e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169771968,155956192,156254024]),[]).
%
% cnf(156276312,plain,(order(r,e)),inference(rewrite,[status(thm)],[thIV3]),[]).
%
% fof(order,plain,(((~member(D,B)|~member(E,B)|~apply(A,D,E)|~apply(A,E,D)|$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/SET791+4.tptp',unknown),[]).
%
% cnf(155661944,plain,(~member(D,B)|~member(E,B)|~apply(A,D,E)|~apply(A,E,D)|$equal(E,D)|~order(A,B)),inference(rewrite,[status(thm)],[order]),[]).
%
% cnf(155943920,plain,(apply(A,C,x(A,B,C,D))|~member(C,B)|max(C,A,B)),inference(rewrite,[status(thm)],[max]),[]).
%
% cnf(170570704,plain,(apply(r,m,x(r,e,m,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[169771968,155943920,156254024]),[]).
%
% cnf(170790800,plain,(~member(m,A)|~member(x(r,e,m,C),A)|~apply(r,x(r,e,m,C),m)|$equal(x(r,e,m,C),m)|~order(r,A)),inference(resolution,[status(thm)],[155661944,170570704]),[]).
%
% cnf(155927504,plain,(~$equal(x(A,B,C,D),C)|~member(C,B)|max(C,A,B)),inference(rewrite,[status(thm)],[max]),[]).
%
% cnf(170555352,plain,(~$equal(x(r,e,m,A),m)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169771968,155927504,156254024]),[]).
%
% cnf(170812072,plain,(~member(m,A)|~member(x(r,e,m,C),A)|~apply(r,x(r,e,m,C),m)|~order(r,A)),inference(resolution,[status(thm)],[170790800,170555352]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[169786408,170540952,156276312,170812072,169771968]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------