%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:54:15 EDT 2022
% Result : Theorem 9.58s 9.82s
% Output : CNFRefutation 9.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 368 ( 61 unt; 0 def)
% Number of atoms : 5113 ( 0 equ)
% Maximal formula atoms : 128 ( 13 avg)
% Number of connectives : 8994 (4249 ~;3675 |; 986 &)
% ( 0 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 6 con; 0-1 aty)
% Number of variables : 2629 ( 0 sgn1884 !; 259 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X] : r1(X,X) ).
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( p6(X)
& p5(X)
& p4(X)
& p3(X)
& p2(X)
& p1(X) ) ) ) ) ) ) ) ) ).
fof(subgoal_0,plain,
! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> p6(X) ) ) ) ) ) ) ),
inference(strip,[],[main]) ).
fof(subgoal_1,plain,
! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X) )
=> p5(X) ) ) ) ) ) ) ),
inference(strip,[],[main]) ).
fof(subgoal_2,plain,
! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X)
& p5(X) )
=> p4(X) ) ) ) ) ) ) ),
inference(strip,[],[main]) ).
fof(subgoal_3,plain,
! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X)
& p5(X)
& p4(X) )
=> p3(X) ) ) ) ) ) ) ),
inference(strip,[],[main]) ).
fof(subgoal_4,plain,
! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X)
& p5(X)
& p4(X)
& p3(X) )
=> p2(X) ) ) ) ) ) ) ),
inference(strip,[],[main]) ).
fof(subgoal_5,plain,
! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X)
& p5(X)
& p4(X)
& p3(X)
& p2(X) )
=> p1(X) ) ) ) ) ) ) ),
inference(strip,[],[main]) ).
fof(negate_0_0,plain,
~ ! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> p6(X) ) ) ) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X] :
( ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p6(X)
& r1(Y,X) ) ) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [Y] :
( ~ p7(Y)
& r1(skolemFOFtoCNF_X,Y) )
& ? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p6(X)
& r1(Y,X) ) ) ) ) ) )
& ? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ( ~ p6(skolemFOFtoCNF_X_8(Y))
| ~ r1(skolemFOFtoCNF_X,Y) )
& ( ~ r1(skolemFOFtoCNF_X,Y)
| r1(Y,skolemFOFtoCNF_X_8(Y)) )
& ( ~ p5(skolemFOFtoCNF_Y_8(X))
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y) )
& ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| r1(X,skolemFOFtoCNF_Y_8(X)) )
& ( ~ p4(skolemFOFtoCNF_X_7(Y0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| r1(Y0,skolemFOFtoCNF_X_7(Y0)) )
& ( ~ p3(skolemFOFtoCNF_Y_7(X0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X,Y)
| r1(X0,skolemFOFtoCNF_Y_7(X0)) )
& ( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) )
& ( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) )
& ( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) )
& ( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) )
& ( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(X2)
| p2(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(X2)
| p5(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p2(X2)
| p3(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p3(X2)
| p4(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p4(X2)
| p5(X2) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] : r1(X,X),
inference(canonicalize,[],[reflexivity]) ).
fof(normalize_0_7,plain,
! [X] : r1(X,X),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p2(X2)
| p3(X2) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_9,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_10,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_11,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p4(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_12,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(X2)
| p2(X2) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_13,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_14,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p3(X2)
| p4(X2) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_15,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_16,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
( ~ p1(skolemFOFtoCNF_X)
| ~ p2(skolemFOFtoCNF_X)
| ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
r1(X,X),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_4,plain,
( ~ p1(skolemFOFtoCNF_X)
| ~ p2(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p2(X2)
| p3(X2) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| p2(skolemFOFtoCNF_X)
| p3(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_7,plain,
( p2(skolemFOFtoCNF_X)
| p3(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_9,plain,
( ~ p3(skolemFOFtoCNF_X)
| ~ p4(skolemFOFtoCNF_X)
| ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_10,plain,
( ~ p3(skolemFOFtoCNF_X)
| ~ p4(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_12,plain,
( ~ p1(skolemFOFtoCNF_X)
| ~ p5(skolemFOFtoCNF_X)
| ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_13,plain,
( ~ p1(skolemFOFtoCNF_X)
| ~ p5(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p4(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_15,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| p4(skolemFOFtoCNF_X)
| p5(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_16,plain,
( p4(skolemFOFtoCNF_X)
| p5(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ p1(skolemFOFtoCNF_X)
| p4(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X) )],[refute_0_16,refute_0_13]) ).
cnf(refute_0_18,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(X2)
| p2(X2) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_19,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| p1(skolemFOFtoCNF_X)
| p2(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_20,plain,
( p1(skolemFOFtoCNF_X)
| p2(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_22,plain,
( ~ p2(skolemFOFtoCNF_X)
| ~ p3(skolemFOFtoCNF_X)
| ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_23,plain,
( ~ p2(skolemFOFtoCNF_X)
| ~ p3(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p3(X2)
| p4(X2) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_25,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| p3(skolemFOFtoCNF_X)
| p4(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_26,plain,
( p3(skolemFOFtoCNF_X)
| p4(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_28,plain,
( ~ p4(skolemFOFtoCNF_X)
| ~ p5(skolemFOFtoCNF_X)
| ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_29,plain,
( ~ p4(skolemFOFtoCNF_X)
| ~ p5(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_31,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| p1(skolemFOFtoCNF_X)
| p5(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_30:[bind(X,$fot(skolemFOFtoCNF_X)),bind(X0,$fot(skolemFOFtoCNF_X)),bind(X1,$fot(skolemFOFtoCNF_X)),bind(X2,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Y0,$fot(skolemFOFtoCNF_X)),bind(Y1,$fot(skolemFOFtoCNF_X)),bind(Y2,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_32,plain,
( p1(skolemFOFtoCNF_X)
| p5(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ p4(skolemFOFtoCNF_X)
| p1(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X) )],[refute_0_32,refute_0_29]) ).
cnf(refute_0_34,plain,
( p1(skolemFOFtoCNF_X)
| p3(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X) )],[refute_0_26,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ p2(skolemFOFtoCNF_X)
| p1(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X) )],[refute_0_34,refute_0_23]) ).
cnf(refute_0_36,plain,
p1(skolemFOFtoCNF_X),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X) )],[refute_0_20,refute_0_35]) ).
cnf(refute_0_37,plain,
p4(skolemFOFtoCNF_X),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X) )],[refute_0_36,refute_0_17]) ).
cnf(refute_0_38,plain,
~ p3(skolemFOFtoCNF_X),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X) )],[refute_0_37,refute_0_10]) ).
cnf(refute_0_39,plain,
p2(skolemFOFtoCNF_X),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_38]) ).
cnf(refute_0_40,plain,
~ p1(skolemFOFtoCNF_X),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X) )],[refute_0_39,refute_0_4]) ).
cnf(refute_0_41,plain,
$false,
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X) )],[refute_0_36,refute_0_40]) ).
fof(negate_1_0,plain,
~ ! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X) )
=> p5(X) ) ) ) ) ) ) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [X] :
( ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ? [Y] :
( ~ p7(Y)
& r1(skolemFOFtoCNF_X_9,Y) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_9,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_9,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X_9,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_9,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_9,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(specialize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ( ~ p6(skolemFOFtoCNF_X_17(Y))
| ~ r1(skolemFOFtoCNF_X_9,Y) )
& ( ~ r1(skolemFOFtoCNF_X_9,Y)
| r1(Y,skolemFOFtoCNF_X_17(Y)) )
& ( ~ p5(skolemFOFtoCNF_Y_17(X))
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_9,Y) )
& ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| r1(X,skolemFOFtoCNF_Y_17(X)) )
& ( ~ p4(skolemFOFtoCNF_X_16(Y0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_9,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| r1(Y0,skolemFOFtoCNF_X_16(Y0)) )
& ( ~ p3(skolemFOFtoCNF_Y_16(X0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_9,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| r1(X0,skolemFOFtoCNF_Y_16(X0)) )
& ( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) )
& ( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) )
& ( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) )
& ( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) )
& ( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p1(X2)
| p2(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p1(X2)
| p5(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p2(X2)
| p3(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p3(X2)
| p4(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p4(X2)
| p5(X2) ) ),
inference(clausify,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [X] : r1(X,X),
inference(canonicalize,[],[reflexivity]) ).
fof(normalize_1_7,plain,
! [X] : r1(X,X),
inference(specialize,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p2(X2)
| p3(X2) ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_9,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_10,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_11,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p4(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_12,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p1(X2)
| p2(X2) ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_13,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_14,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_15,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p1(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_16,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p3(X2)
| p4(X2) ),
inference(conjunct,[],[normalize_1_4]) ).
cnf(refute_1_0,plain,
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_1,plain,
( ~ p1(skolemFOFtoCNF_X_9)
| ~ p2(skolemFOFtoCNF_X_9)
| ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_0:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_2,plain,
r1(X,X),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_3,plain,
r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9),
inference(subst,[],[refute_1_2:[bind(X,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_4,plain,
( ~ p1(skolemFOFtoCNF_X_9)
| ~ p2(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_1]) ).
cnf(refute_1_5,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p2(X2)
| p3(X2) ),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_6,plain,
( ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9)
| p2(skolemFOFtoCNF_X_9)
| p3(skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_7,plain,
( p2(skolemFOFtoCNF_X_9)
| p3(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_6]) ).
cnf(refute_1_8,plain,
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_9,plain,
( ~ p3(skolemFOFtoCNF_X_9)
| ~ p4(skolemFOFtoCNF_X_9)
| ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_10,plain,
( ~ p3(skolemFOFtoCNF_X_9)
| ~ p4(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_9]) ).
cnf(refute_1_11,plain,
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_12,plain,
( ~ p1(skolemFOFtoCNF_X_9)
| ~ p5(skolemFOFtoCNF_X_9)
| ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_11:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_13,plain,
( ~ p1(skolemFOFtoCNF_X_9)
| ~ p5(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_12]) ).
cnf(refute_1_14,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p4(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_15,plain,
( ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9)
| p4(skolemFOFtoCNF_X_9)
| p5(skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_14:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_16,plain,
( p4(skolemFOFtoCNF_X_9)
| p5(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_15]) ).
cnf(refute_1_17,plain,
( ~ p1(skolemFOFtoCNF_X_9)
| p4(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_9) )],[refute_1_16,refute_1_13]) ).
cnf(refute_1_18,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p1(X2)
| p2(X2) ),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_19,plain,
( ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9)
| p1(skolemFOFtoCNF_X_9)
| p2(skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_18:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_20,plain,
( p1(skolemFOFtoCNF_X_9)
| p2(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_19]) ).
cnf(refute_1_21,plain,
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_22,plain,
( ~ p2(skolemFOFtoCNF_X_9)
| ~ p3(skolemFOFtoCNF_X_9)
| ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_21:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_23,plain,
( ~ p2(skolemFOFtoCNF_X_9)
| ~ p3(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_22]) ).
cnf(refute_1_24,plain,
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y) ),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_25,plain,
( ~ p4(skolemFOFtoCNF_X_9)
| ~ p5(skolemFOFtoCNF_X_9)
| ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_26,plain,
( ~ p4(skolemFOFtoCNF_X_9)
| ~ p5(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_25]) ).
cnf(refute_1_27,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p1(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_28,plain,
( ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9)
| p1(skolemFOFtoCNF_X_9)
| p5(skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_27:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_29,plain,
( p1(skolemFOFtoCNF_X_9)
| p5(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_28]) ).
cnf(refute_1_30,plain,
( ~ p4(skolemFOFtoCNF_X_9)
| p1(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_9) )],[refute_1_29,refute_1_26]) ).
cnf(refute_1_31,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_9,Y)
| p3(X2)
| p4(X2) ),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_32,plain,
( ~ r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9)
| p3(skolemFOFtoCNF_X_9)
| p4(skolemFOFtoCNF_X_9) ),
inference(subst,[],[refute_1_31:[bind(X,$fot(skolemFOFtoCNF_X_9)),bind(X0,$fot(skolemFOFtoCNF_X_9)),bind(X1,$fot(skolemFOFtoCNF_X_9)),bind(X2,$fot(skolemFOFtoCNF_X_9)),bind(Y,$fot(skolemFOFtoCNF_X_9)),bind(Y0,$fot(skolemFOFtoCNF_X_9)),bind(Y1,$fot(skolemFOFtoCNF_X_9)),bind(Y2,$fot(skolemFOFtoCNF_X_9))]]) ).
cnf(refute_1_33,plain,
( p3(skolemFOFtoCNF_X_9)
| p4(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_9,skolemFOFtoCNF_X_9) )],[refute_1_3,refute_1_32]) ).
cnf(refute_1_34,plain,
( p1(skolemFOFtoCNF_X_9)
| p3(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_9) )],[refute_1_33,refute_1_30]) ).
cnf(refute_1_35,plain,
( ~ p2(skolemFOFtoCNF_X_9)
| p1(skolemFOFtoCNF_X_9) ),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_9) )],[refute_1_34,refute_1_23]) ).
cnf(refute_1_36,plain,
p1(skolemFOFtoCNF_X_9),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_9) )],[refute_1_20,refute_1_35]) ).
cnf(refute_1_37,plain,
p4(skolemFOFtoCNF_X_9),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_9) )],[refute_1_36,refute_1_17]) ).
cnf(refute_1_38,plain,
~ p3(skolemFOFtoCNF_X_9),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_9) )],[refute_1_37,refute_1_10]) ).
cnf(refute_1_39,plain,
p2(skolemFOFtoCNF_X_9),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_9) )],[refute_1_7,refute_1_38]) ).
cnf(refute_1_40,plain,
~ p1(skolemFOFtoCNF_X_9),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_9) )],[refute_1_39,refute_1_4]) ).
cnf(refute_1_41,plain,
$false,
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_9) )],[refute_1_36,refute_1_40]) ).
fof(negate_2_0,plain,
~ ! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X)
& p5(X) )
=> p4(X) ) ) ) ) ) ) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
? [X] :
( ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p4(X)
& p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
( ? [Y] :
( ~ p7(Y)
& r1(skolemFOFtoCNF_X_18,Y) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_18,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_18,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p4(X)
& p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X_18,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(skolemize,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_18,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_3,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_18,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(specialize,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ( ~ p6(skolemFOFtoCNF_X_26(Y))
| ~ r1(skolemFOFtoCNF_X_18,Y) )
& ( ~ r1(skolemFOFtoCNF_X_18,Y)
| r1(Y,skolemFOFtoCNF_X_26(Y)) )
& ( ~ p5(skolemFOFtoCNF_Y_26(X))
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_18,Y) )
& ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| r1(X,skolemFOFtoCNF_Y_26(X)) )
& ( ~ p4(skolemFOFtoCNF_X_25(Y0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_18,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| r1(Y0,skolemFOFtoCNF_X_25(Y0)) )
& ( ~ p3(skolemFOFtoCNF_Y_25(X0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_18,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| r1(X0,skolemFOFtoCNF_Y_25(X0)) )
& ( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) )
& ( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) )
& ( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) )
& ( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) )
& ( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p1(X2)
| p2(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p1(X2)
| p5(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p2(X2)
| p3(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p3(X2)
| p4(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p4(X2)
| p5(X2) ) ),
inference(clausify,[],[normalize_2_3]) ).
fof(normalize_2_5,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_6,plain,
! [X] : r1(X,X),
inference(canonicalize,[],[reflexivity]) ).
fof(normalize_2_7,plain,
! [X] : r1(X,X),
inference(specialize,[],[normalize_2_6]) ).
fof(normalize_2_8,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p2(X2)
| p3(X2) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_9,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_10,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_11,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p4(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_12,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p1(X2)
| p2(X2) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_13,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_14,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p3(X2)
| p4(X2) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_15,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_16,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p1(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_2_4]) ).
cnf(refute_2_0,plain,
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_1,plain,
( ~ p1(skolemFOFtoCNF_X_18)
| ~ p2(skolemFOFtoCNF_X_18)
| ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_0:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_2,plain,
r1(X,X),
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_3,plain,
r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18),
inference(subst,[],[refute_2_2:[bind(X,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_4,plain,
( ~ p1(skolemFOFtoCNF_X_18)
| ~ p2(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_1]) ).
cnf(refute_2_5,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p2(X2)
| p3(X2) ),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_6,plain,
( ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18)
| p2(skolemFOFtoCNF_X_18)
| p3(skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_7,plain,
( p2(skolemFOFtoCNF_X_18)
| p3(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_6]) ).
cnf(refute_2_8,plain,
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(canonicalize,[],[normalize_2_9]) ).
cnf(refute_2_9,plain,
( ~ p3(skolemFOFtoCNF_X_18)
| ~ p4(skolemFOFtoCNF_X_18)
| ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_8:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_10,plain,
( ~ p3(skolemFOFtoCNF_X_18)
| ~ p4(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_9]) ).
cnf(refute_2_11,plain,
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(canonicalize,[],[normalize_2_10]) ).
cnf(refute_2_12,plain,
( ~ p1(skolemFOFtoCNF_X_18)
| ~ p5(skolemFOFtoCNF_X_18)
| ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_11:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_13,plain,
( ~ p1(skolemFOFtoCNF_X_18)
| ~ p5(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_12]) ).
cnf(refute_2_14,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p4(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_15,plain,
( ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18)
| p4(skolemFOFtoCNF_X_18)
| p5(skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_16,plain,
( p4(skolemFOFtoCNF_X_18)
| p5(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_15]) ).
cnf(refute_2_17,plain,
( ~ p1(skolemFOFtoCNF_X_18)
| p4(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_18) )],[refute_2_16,refute_2_13]) ).
cnf(refute_2_18,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p1(X2)
| p2(X2) ),
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_19,plain,
( ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18)
| p1(skolemFOFtoCNF_X_18)
| p2(skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_18:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_20,plain,
( p1(skolemFOFtoCNF_X_18)
| p2(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_19]) ).
cnf(refute_2_21,plain,
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_22,plain,
( ~ p2(skolemFOFtoCNF_X_18)
| ~ p3(skolemFOFtoCNF_X_18)
| ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_21:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_23,plain,
( ~ p2(skolemFOFtoCNF_X_18)
| ~ p3(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_22]) ).
cnf(refute_2_24,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p3(X2)
| p4(X2) ),
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_25,plain,
( ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18)
| p3(skolemFOFtoCNF_X_18)
| p4(skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_26,plain,
( p3(skolemFOFtoCNF_X_18)
| p4(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_25]) ).
cnf(refute_2_27,plain,
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y) ),
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_28,plain,
( ~ p4(skolemFOFtoCNF_X_18)
| ~ p5(skolemFOFtoCNF_X_18)
| ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_27:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_29,plain,
( ~ p4(skolemFOFtoCNF_X_18)
| ~ p5(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_28]) ).
cnf(refute_2_30,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_18,Y)
| p1(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_31,plain,
( ~ r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18)
| p1(skolemFOFtoCNF_X_18)
| p5(skolemFOFtoCNF_X_18) ),
inference(subst,[],[refute_2_30:[bind(X,$fot(skolemFOFtoCNF_X_18)),bind(X0,$fot(skolemFOFtoCNF_X_18)),bind(X1,$fot(skolemFOFtoCNF_X_18)),bind(X2,$fot(skolemFOFtoCNF_X_18)),bind(Y,$fot(skolemFOFtoCNF_X_18)),bind(Y0,$fot(skolemFOFtoCNF_X_18)),bind(Y1,$fot(skolemFOFtoCNF_X_18)),bind(Y2,$fot(skolemFOFtoCNF_X_18))]]) ).
cnf(refute_2_32,plain,
( p1(skolemFOFtoCNF_X_18)
| p5(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_18,skolemFOFtoCNF_X_18) )],[refute_2_3,refute_2_31]) ).
cnf(refute_2_33,plain,
( ~ p4(skolemFOFtoCNF_X_18)
| p1(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_18) )],[refute_2_32,refute_2_29]) ).
cnf(refute_2_34,plain,
( p1(skolemFOFtoCNF_X_18)
| p3(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_18) )],[refute_2_26,refute_2_33]) ).
cnf(refute_2_35,plain,
( ~ p2(skolemFOFtoCNF_X_18)
| p1(skolemFOFtoCNF_X_18) ),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_18) )],[refute_2_34,refute_2_23]) ).
cnf(refute_2_36,plain,
p1(skolemFOFtoCNF_X_18),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_18) )],[refute_2_20,refute_2_35]) ).
cnf(refute_2_37,plain,
p4(skolemFOFtoCNF_X_18),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_18) )],[refute_2_36,refute_2_17]) ).
cnf(refute_2_38,plain,
~ p3(skolemFOFtoCNF_X_18),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_18) )],[refute_2_37,refute_2_10]) ).
cnf(refute_2_39,plain,
p2(skolemFOFtoCNF_X_18),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_18) )],[refute_2_7,refute_2_38]) ).
cnf(refute_2_40,plain,
~ p1(skolemFOFtoCNF_X_18),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_18) )],[refute_2_39,refute_2_4]) ).
cnf(refute_2_41,plain,
$false,
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_18) )],[refute_2_36,refute_2_40]) ).
fof(negate_3_0,plain,
~ ! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X)
& p5(X)
& p4(X) )
=> p3(X) ) ) ) ) ) ) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
? [X] :
( ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p3(X)
& p4(X)
& p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
( ? [Y] :
( ~ p7(Y)
& r1(skolemFOFtoCNF_X_27,Y) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_27,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_27,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p3(X)
& p4(X)
& p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X_27,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(skolemize,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_27,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_3_1]) ).
fof(normalize_3_3,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_27,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(specialize,[],[normalize_3_2]) ).
fof(normalize_3_4,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ( ~ p6(skolemFOFtoCNF_X_35(Y))
| ~ r1(skolemFOFtoCNF_X_27,Y) )
& ( ~ r1(skolemFOFtoCNF_X_27,Y)
| r1(Y,skolemFOFtoCNF_X_35(Y)) )
& ( ~ p5(skolemFOFtoCNF_Y_35(X))
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_27,Y) )
& ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| r1(X,skolemFOFtoCNF_Y_35(X)) )
& ( ~ p4(skolemFOFtoCNF_X_34(Y0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_27,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| r1(Y0,skolemFOFtoCNF_X_34(Y0)) )
& ( ~ p3(skolemFOFtoCNF_Y_34(X0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_27,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| r1(X0,skolemFOFtoCNF_Y_34(X0)) )
& ( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) )
& ( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) )
& ( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) )
& ( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) )
& ( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p1(X2)
| p2(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p1(X2)
| p5(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p2(X2)
| p3(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p3(X2)
| p4(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p4(X2)
| p5(X2) ) ),
inference(clausify,[],[normalize_3_3]) ).
fof(normalize_3_5,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_6,plain,
! [X] : r1(X,X),
inference(canonicalize,[],[reflexivity]) ).
fof(normalize_3_7,plain,
! [X] : r1(X,X),
inference(specialize,[],[normalize_3_6]) ).
fof(normalize_3_8,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p2(X2)
| p3(X2) ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_9,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_10,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_11,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p4(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_12,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p1(X2)
| p2(X2) ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_13,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_14,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p3(X2)
| p4(X2) ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_15,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_16,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p1(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_3_4]) ).
cnf(refute_3_0,plain,
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(canonicalize,[],[normalize_3_5]) ).
cnf(refute_3_1,plain,
( ~ p1(skolemFOFtoCNF_X_27)
| ~ p2(skolemFOFtoCNF_X_27)
| ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_0:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_2,plain,
r1(X,X),
inference(canonicalize,[],[normalize_3_7]) ).
cnf(refute_3_3,plain,
r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27),
inference(subst,[],[refute_3_2:[bind(X,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_4,plain,
( ~ p1(skolemFOFtoCNF_X_27)
| ~ p2(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_1]) ).
cnf(refute_3_5,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p2(X2)
| p3(X2) ),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_6,plain,
( ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27)
| p2(skolemFOFtoCNF_X_27)
| p3(skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_7,plain,
( p2(skolemFOFtoCNF_X_27)
| p3(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_6]) ).
cnf(refute_3_8,plain,
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(canonicalize,[],[normalize_3_9]) ).
cnf(refute_3_9,plain,
( ~ p3(skolemFOFtoCNF_X_27)
| ~ p4(skolemFOFtoCNF_X_27)
| ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_8:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_10,plain,
( ~ p3(skolemFOFtoCNF_X_27)
| ~ p4(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_9]) ).
cnf(refute_3_11,plain,
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_12,plain,
( ~ p1(skolemFOFtoCNF_X_27)
| ~ p5(skolemFOFtoCNF_X_27)
| ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_11:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_13,plain,
( ~ p1(skolemFOFtoCNF_X_27)
| ~ p5(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_12]) ).
cnf(refute_3_14,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p4(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_3_11]) ).
cnf(refute_3_15,plain,
( ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27)
| p4(skolemFOFtoCNF_X_27)
| p5(skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_14:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_16,plain,
( p4(skolemFOFtoCNF_X_27)
| p5(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_15]) ).
cnf(refute_3_17,plain,
( ~ p1(skolemFOFtoCNF_X_27)
| p4(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_27) )],[refute_3_16,refute_3_13]) ).
cnf(refute_3_18,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p1(X2)
| p2(X2) ),
inference(canonicalize,[],[normalize_3_12]) ).
cnf(refute_3_19,plain,
( ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27)
| p1(skolemFOFtoCNF_X_27)
| p2(skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_18:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_20,plain,
( p1(skolemFOFtoCNF_X_27)
| p2(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_19]) ).
cnf(refute_3_21,plain,
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(canonicalize,[],[normalize_3_13]) ).
cnf(refute_3_22,plain,
( ~ p2(skolemFOFtoCNF_X_27)
| ~ p3(skolemFOFtoCNF_X_27)
| ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_21:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_23,plain,
( ~ p2(skolemFOFtoCNF_X_27)
| ~ p3(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_22]) ).
cnf(refute_3_24,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p3(X2)
| p4(X2) ),
inference(canonicalize,[],[normalize_3_14]) ).
cnf(refute_3_25,plain,
( ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27)
| p3(skolemFOFtoCNF_X_27)
| p4(skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_24:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_26,plain,
( p3(skolemFOFtoCNF_X_27)
| p4(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_25]) ).
cnf(refute_3_27,plain,
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y) ),
inference(canonicalize,[],[normalize_3_15]) ).
cnf(refute_3_28,plain,
( ~ p4(skolemFOFtoCNF_X_27)
| ~ p5(skolemFOFtoCNF_X_27)
| ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_27:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_29,plain,
( ~ p4(skolemFOFtoCNF_X_27)
| ~ p5(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_28]) ).
cnf(refute_3_30,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_27,Y)
| p1(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_31,plain,
( ~ r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27)
| p1(skolemFOFtoCNF_X_27)
| p5(skolemFOFtoCNF_X_27) ),
inference(subst,[],[refute_3_30:[bind(X,$fot(skolemFOFtoCNF_X_27)),bind(X0,$fot(skolemFOFtoCNF_X_27)),bind(X1,$fot(skolemFOFtoCNF_X_27)),bind(X2,$fot(skolemFOFtoCNF_X_27)),bind(Y,$fot(skolemFOFtoCNF_X_27)),bind(Y0,$fot(skolemFOFtoCNF_X_27)),bind(Y1,$fot(skolemFOFtoCNF_X_27)),bind(Y2,$fot(skolemFOFtoCNF_X_27))]]) ).
cnf(refute_3_32,plain,
( p1(skolemFOFtoCNF_X_27)
| p5(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_27,skolemFOFtoCNF_X_27) )],[refute_3_3,refute_3_31]) ).
cnf(refute_3_33,plain,
( ~ p4(skolemFOFtoCNF_X_27)
| p1(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_27) )],[refute_3_32,refute_3_29]) ).
cnf(refute_3_34,plain,
( p1(skolemFOFtoCNF_X_27)
| p3(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_27) )],[refute_3_26,refute_3_33]) ).
cnf(refute_3_35,plain,
( ~ p2(skolemFOFtoCNF_X_27)
| p1(skolemFOFtoCNF_X_27) ),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_27) )],[refute_3_34,refute_3_23]) ).
cnf(refute_3_36,plain,
p1(skolemFOFtoCNF_X_27),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_27) )],[refute_3_20,refute_3_35]) ).
cnf(refute_3_37,plain,
p4(skolemFOFtoCNF_X_27),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_27) )],[refute_3_36,refute_3_17]) ).
cnf(refute_3_38,plain,
~ p3(skolemFOFtoCNF_X_27),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_27) )],[refute_3_37,refute_3_10]) ).
cnf(refute_3_39,plain,
p2(skolemFOFtoCNF_X_27),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_27) )],[refute_3_7,refute_3_38]) ).
cnf(refute_3_40,plain,
~ p1(skolemFOFtoCNF_X_27),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_27) )],[refute_3_39,refute_3_4]) ).
cnf(refute_3_41,plain,
$false,
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_27) )],[refute_3_36,refute_3_40]) ).
fof(negate_4_0,plain,
~ ! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X)
& p5(X)
& p4(X)
& p3(X) )
=> p2(X) ) ) ) ) ) ) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
? [X] :
( ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p2(X)
& p3(X)
& p4(X)
& p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_1,plain,
( ? [Y] :
( ~ p7(Y)
& r1(skolemFOFtoCNF_X_36,Y) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_36,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_36,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p2(X)
& p3(X)
& p4(X)
& p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X_36,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(skolemize,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_36,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_36,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(specialize,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ( ~ p6(skolemFOFtoCNF_X_44(Y))
| ~ r1(skolemFOFtoCNF_X_36,Y) )
& ( ~ r1(skolemFOFtoCNF_X_36,Y)
| r1(Y,skolemFOFtoCNF_X_44(Y)) )
& ( ~ p5(skolemFOFtoCNF_Y_44(X))
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_36,Y) )
& ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| r1(X,skolemFOFtoCNF_Y_44(X)) )
& ( ~ p4(skolemFOFtoCNF_X_43(Y0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_36,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| r1(Y0,skolemFOFtoCNF_X_43(Y0)) )
& ( ~ p3(skolemFOFtoCNF_Y_43(X0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_36,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| r1(X0,skolemFOFtoCNF_Y_43(X0)) )
& ( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) )
& ( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) )
& ( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) )
& ( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) )
& ( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p1(X2)
| p2(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p1(X2)
| p5(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p2(X2)
| p3(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p3(X2)
| p4(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p4(X2)
| p5(X2) ) ),
inference(clausify,[],[normalize_4_3]) ).
fof(normalize_4_5,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_6,plain,
! [X] : r1(X,X),
inference(canonicalize,[],[reflexivity]) ).
fof(normalize_4_7,plain,
! [X] : r1(X,X),
inference(specialize,[],[normalize_4_6]) ).
fof(normalize_4_8,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p2(X2)
| p3(X2) ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_9,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_10,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_11,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p4(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_12,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p1(X2)
| p2(X2) ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_13,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_14,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p3(X2)
| p4(X2) ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_15,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_16,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p1(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_4_4]) ).
cnf(refute_4_0,plain,
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(canonicalize,[],[normalize_4_5]) ).
cnf(refute_4_1,plain,
( ~ p1(skolemFOFtoCNF_X_36)
| ~ p2(skolemFOFtoCNF_X_36)
| ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_0:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_2,plain,
r1(X,X),
inference(canonicalize,[],[normalize_4_7]) ).
cnf(refute_4_3,plain,
r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36),
inference(subst,[],[refute_4_2:[bind(X,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_4,plain,
( ~ p1(skolemFOFtoCNF_X_36)
| ~ p2(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_1]) ).
cnf(refute_4_5,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p2(X2)
| p3(X2) ),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_6,plain,
( ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36)
| p2(skolemFOFtoCNF_X_36)
| p3(skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_7,plain,
( p2(skolemFOFtoCNF_X_36)
| p3(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_6]) ).
cnf(refute_4_8,plain,
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(canonicalize,[],[normalize_4_9]) ).
cnf(refute_4_9,plain,
( ~ p3(skolemFOFtoCNF_X_36)
| ~ p4(skolemFOFtoCNF_X_36)
| ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_10,plain,
( ~ p3(skolemFOFtoCNF_X_36)
| ~ p4(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_9]) ).
cnf(refute_4_11,plain,
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(canonicalize,[],[normalize_4_10]) ).
cnf(refute_4_12,plain,
( ~ p1(skolemFOFtoCNF_X_36)
| ~ p5(skolemFOFtoCNF_X_36)
| ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_11:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_13,plain,
( ~ p1(skolemFOFtoCNF_X_36)
| ~ p5(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_12]) ).
cnf(refute_4_14,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p4(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_4_11]) ).
cnf(refute_4_15,plain,
( ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36)
| p4(skolemFOFtoCNF_X_36)
| p5(skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_14:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_16,plain,
( p4(skolemFOFtoCNF_X_36)
| p5(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_15]) ).
cnf(refute_4_17,plain,
( ~ p1(skolemFOFtoCNF_X_36)
| p4(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_36) )],[refute_4_16,refute_4_13]) ).
cnf(refute_4_18,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p1(X2)
| p2(X2) ),
inference(canonicalize,[],[normalize_4_12]) ).
cnf(refute_4_19,plain,
( ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36)
| p1(skolemFOFtoCNF_X_36)
| p2(skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_18:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_20,plain,
( p1(skolemFOFtoCNF_X_36)
| p2(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_19]) ).
cnf(refute_4_21,plain,
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_22,plain,
( ~ p2(skolemFOFtoCNF_X_36)
| ~ p3(skolemFOFtoCNF_X_36)
| ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_21:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_23,plain,
( ~ p2(skolemFOFtoCNF_X_36)
| ~ p3(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_22]) ).
cnf(refute_4_24,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p3(X2)
| p4(X2) ),
inference(canonicalize,[],[normalize_4_14]) ).
cnf(refute_4_25,plain,
( ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36)
| p3(skolemFOFtoCNF_X_36)
| p4(skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_26,plain,
( p3(skolemFOFtoCNF_X_36)
| p4(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_25]) ).
cnf(refute_4_27,plain,
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y) ),
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_28,plain,
( ~ p4(skolemFOFtoCNF_X_36)
| ~ p5(skolemFOFtoCNF_X_36)
| ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_27:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_29,plain,
( ~ p4(skolemFOFtoCNF_X_36)
| ~ p5(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_28]) ).
cnf(refute_4_30,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_36,Y)
| p1(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_4_16]) ).
cnf(refute_4_31,plain,
( ~ r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36)
| p1(skolemFOFtoCNF_X_36)
| p5(skolemFOFtoCNF_X_36) ),
inference(subst,[],[refute_4_30:[bind(X,$fot(skolemFOFtoCNF_X_36)),bind(X0,$fot(skolemFOFtoCNF_X_36)),bind(X1,$fot(skolemFOFtoCNF_X_36)),bind(X2,$fot(skolemFOFtoCNF_X_36)),bind(Y,$fot(skolemFOFtoCNF_X_36)),bind(Y0,$fot(skolemFOFtoCNF_X_36)),bind(Y1,$fot(skolemFOFtoCNF_X_36)),bind(Y2,$fot(skolemFOFtoCNF_X_36))]]) ).
cnf(refute_4_32,plain,
( p1(skolemFOFtoCNF_X_36)
| p5(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_36,skolemFOFtoCNF_X_36) )],[refute_4_3,refute_4_31]) ).
cnf(refute_4_33,plain,
( ~ p4(skolemFOFtoCNF_X_36)
| p1(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_36) )],[refute_4_32,refute_4_29]) ).
cnf(refute_4_34,plain,
( p1(skolemFOFtoCNF_X_36)
| p3(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_36) )],[refute_4_26,refute_4_33]) ).
cnf(refute_4_35,plain,
( ~ p2(skolemFOFtoCNF_X_36)
| p1(skolemFOFtoCNF_X_36) ),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_36) )],[refute_4_34,refute_4_23]) ).
cnf(refute_4_36,plain,
p1(skolemFOFtoCNF_X_36),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_36) )],[refute_4_20,refute_4_35]) ).
cnf(refute_4_37,plain,
p4(skolemFOFtoCNF_X_36),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_36) )],[refute_4_36,refute_4_17]) ).
cnf(refute_4_38,plain,
~ p3(skolemFOFtoCNF_X_36),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_36) )],[refute_4_37,refute_4_10]) ).
cnf(refute_4_39,plain,
p2(skolemFOFtoCNF_X_36),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_36) )],[refute_4_7,refute_4_38]) ).
cnf(refute_4_40,plain,
~ p1(skolemFOFtoCNF_X_36),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_36) )],[refute_4_39,refute_4_4]) ).
cnf(refute_4_41,plain,
$false,
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_36) )],[refute_4_36,refute_4_40]) ).
fof(negate_5_0,plain,
~ ! [X] :
( ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p7(Y) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ~ ~ r1(Y,X)
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ! [X] :
( ( ~ ~ r1(Y,X)
& p6(X)
& p5(X)
& p4(X)
& p3(X)
& p2(X) )
=> p1(X) ) ) ) ) ) ) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
? [X] :
( ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p1(X)
& p2(X)
& p3(X)
& p4(X)
& p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_1,plain,
( ? [Y] :
( ~ p7(Y)
& r1(skolemFOFtoCNF_X_45,Y) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_45,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ( p10(X)
| p12(X)
| p2(X)
| p4(X)
| p6(X)
| p8(X) ) ) ) ) ) ) )
& ? [Y] :
( r1(skolemFOFtoCNF_X_45,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( r1(Y,X)
& ? [Y] :
( r1(X,Y)
& ? [X] :
( ~ p1(X)
& p2(X)
& p3(X)
& p4(X)
& p5(X)
& p6(X)
& r1(Y,X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X_45,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ) ),
inference(skolemize,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_45,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X_45,Y)
| ( ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ( ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p2(X) )
& ( p1(X)
| p2(X) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| ~ p3(X) )
& ( p2(X)
| p3(X) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p3(X)
| ~ p4(X) )
& ( p3(X)
| p4(X) ) ) ) ) ) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| ~ p5(X) )
& ( p4(X)
| p5(X) ) ) ) ) ) ) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ( ~ p1(X)
| ~ p5(X) )
& ( p1(X)
| p5(X) ) ) ) ) ) ) ) ) ) ) ),
inference(specialize,[],[normalize_5_2]) ).
fof(normalize_5_4,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ( ~ p6(skolemFOFtoCNF_X_53(Y))
| ~ r1(skolemFOFtoCNF_X_45,Y) )
& ( ~ r1(skolemFOFtoCNF_X_45,Y)
| r1(Y,skolemFOFtoCNF_X_53(Y)) )
& ( ~ p5(skolemFOFtoCNF_Y_53(X))
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_45,Y) )
& ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| r1(X,skolemFOFtoCNF_Y_53(X)) )
& ( ~ p4(skolemFOFtoCNF_X_52(Y0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_45,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| r1(Y0,skolemFOFtoCNF_X_52(Y0)) )
& ( ~ p3(skolemFOFtoCNF_Y_52(X0))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_45,Y) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| r1(X0,skolemFOFtoCNF_Y_52(X0)) )
& ( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) )
& ( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) )
& ( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) )
& ( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) )
& ( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p1(X2)
| p2(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p1(X2)
| p5(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p2(X2)
| p3(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p3(X2)
| p4(X2) )
& ( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p4(X2)
| p5(X2) ) ),
inference(clausify,[],[normalize_5_3]) ).
fof(normalize_5_5,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_6,plain,
! [X] : r1(X,X),
inference(canonicalize,[],[reflexivity]) ).
fof(normalize_5_7,plain,
! [X] : r1(X,X),
inference(specialize,[],[normalize_5_6]) ).
fof(normalize_5_8,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p2(X2)
| p3(X2) ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_9,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_10,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_11,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p4(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_12,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p1(X2)
| p2(X2) ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_13,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_14,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p3(X2)
| p4(X2) ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_15,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_16,plain,
! [X,X0,X1,X2,Y,Y0,Y1,Y2] :
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p1(X2)
| p5(X2) ),
inference(conjunct,[],[normalize_5_4]) ).
cnf(refute_5_0,plain,
( ~ p1(X2)
| ~ p2(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(canonicalize,[],[normalize_5_5]) ).
cnf(refute_5_1,plain,
( ~ p1(skolemFOFtoCNF_X_45)
| ~ p2(skolemFOFtoCNF_X_45)
| ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_0:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_2,plain,
r1(X,X),
inference(canonicalize,[],[normalize_5_7]) ).
cnf(refute_5_3,plain,
r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45),
inference(subst,[],[refute_5_2:[bind(X,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_4,plain,
( ~ p1(skolemFOFtoCNF_X_45)
| ~ p2(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_1]) ).
cnf(refute_5_5,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p2(X2)
| p3(X2) ),
inference(canonicalize,[],[normalize_5_8]) ).
cnf(refute_5_6,plain,
( ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45)
| p2(skolemFOFtoCNF_X_45)
| p3(skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_7,plain,
( p2(skolemFOFtoCNF_X_45)
| p3(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_6]) ).
cnf(refute_5_8,plain,
( ~ p3(X2)
| ~ p4(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_9,plain,
( ~ p3(skolemFOFtoCNF_X_45)
| ~ p4(skolemFOFtoCNF_X_45)
| ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_8:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_10,plain,
( ~ p3(skolemFOFtoCNF_X_45)
| ~ p4(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_9]) ).
cnf(refute_5_11,plain,
( ~ p1(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(canonicalize,[],[normalize_5_10]) ).
cnf(refute_5_12,plain,
( ~ p1(skolemFOFtoCNF_X_45)
| ~ p5(skolemFOFtoCNF_X_45)
| ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_11:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_13,plain,
( ~ p1(skolemFOFtoCNF_X_45)
| ~ p5(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_12]) ).
cnf(refute_5_14,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p4(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_5_11]) ).
cnf(refute_5_15,plain,
( ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45)
| p4(skolemFOFtoCNF_X_45)
| p5(skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_14:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_16,plain,
( p4(skolemFOFtoCNF_X_45)
| p5(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_15]) ).
cnf(refute_5_17,plain,
( ~ p1(skolemFOFtoCNF_X_45)
| p4(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_45) )],[refute_5_16,refute_5_13]) ).
cnf(refute_5_18,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p1(X2)
| p2(X2) ),
inference(canonicalize,[],[normalize_5_12]) ).
cnf(refute_5_19,plain,
( ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45)
| p1(skolemFOFtoCNF_X_45)
| p2(skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_18:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_20,plain,
( p1(skolemFOFtoCNF_X_45)
| p2(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_19]) ).
cnf(refute_5_21,plain,
( ~ p2(X2)
| ~ p3(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_22,plain,
( ~ p2(skolemFOFtoCNF_X_45)
| ~ p3(skolemFOFtoCNF_X_45)
| ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_21:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_23,plain,
( ~ p2(skolemFOFtoCNF_X_45)
| ~ p3(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_22]) ).
cnf(refute_5_24,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p3(X2)
| p4(X2) ),
inference(canonicalize,[],[normalize_5_14]) ).
cnf(refute_5_25,plain,
( ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45)
| p3(skolemFOFtoCNF_X_45)
| p4(skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_24:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_26,plain,
( p3(skolemFOFtoCNF_X_45)
| p4(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_25]) ).
cnf(refute_5_27,plain,
( ~ p4(X2)
| ~ p5(X2)
| ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y) ),
inference(canonicalize,[],[normalize_5_15]) ).
cnf(refute_5_28,plain,
( ~ p4(skolemFOFtoCNF_X_45)
| ~ p5(skolemFOFtoCNF_X_45)
| ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_27:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_29,plain,
( ~ p4(skolemFOFtoCNF_X_45)
| ~ p5(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_28]) ).
cnf(refute_5_30,plain,
( ~ r1(X,Y0)
| ~ r1(X0,Y1)
| ~ r1(X1,Y2)
| ~ r1(Y,X)
| ~ r1(Y0,X0)
| ~ r1(Y1,X1)
| ~ r1(Y2,X2)
| ~ r1(skolemFOFtoCNF_X_45,Y)
| p1(X2)
| p5(X2) ),
inference(canonicalize,[],[normalize_5_16]) ).
cnf(refute_5_31,plain,
( ~ r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45)
| p1(skolemFOFtoCNF_X_45)
| p5(skolemFOFtoCNF_X_45) ),
inference(subst,[],[refute_5_30:[bind(X,$fot(skolemFOFtoCNF_X_45)),bind(X0,$fot(skolemFOFtoCNF_X_45)),bind(X1,$fot(skolemFOFtoCNF_X_45)),bind(X2,$fot(skolemFOFtoCNF_X_45)),bind(Y,$fot(skolemFOFtoCNF_X_45)),bind(Y0,$fot(skolemFOFtoCNF_X_45)),bind(Y1,$fot(skolemFOFtoCNF_X_45)),bind(Y2,$fot(skolemFOFtoCNF_X_45))]]) ).
cnf(refute_5_32,plain,
( p1(skolemFOFtoCNF_X_45)
| p5(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_45,skolemFOFtoCNF_X_45) )],[refute_5_3,refute_5_31]) ).
cnf(refute_5_33,plain,
( ~ p4(skolemFOFtoCNF_X_45)
| p1(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_X_45) )],[refute_5_32,refute_5_29]) ).
cnf(refute_5_34,plain,
( p1(skolemFOFtoCNF_X_45)
| p3(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_45) )],[refute_5_26,refute_5_33]) ).
cnf(refute_5_35,plain,
( ~ p2(skolemFOFtoCNF_X_45)
| p1(skolemFOFtoCNF_X_45) ),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_45) )],[refute_5_34,refute_5_23]) ).
cnf(refute_5_36,plain,
p1(skolemFOFtoCNF_X_45),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_45) )],[refute_5_20,refute_5_35]) ).
cnf(refute_5_37,plain,
p4(skolemFOFtoCNF_X_45),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_45) )],[refute_5_36,refute_5_17]) ).
cnf(refute_5_38,plain,
~ p3(skolemFOFtoCNF_X_45),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_X_45) )],[refute_5_37,refute_5_10]) ).
cnf(refute_5_39,plain,
p2(skolemFOFtoCNF_X_45),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_X_45) )],[refute_5_7,refute_5_38]) ).
cnf(refute_5_40,plain,
~ p1(skolemFOFtoCNF_X_45),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_X_45) )],[refute_5_39,refute_5_4]) ).
cnf(refute_5_41,plain,
$false,
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_45) )],[refute_5_36,refute_5_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 07:33:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 9.58/9.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.58/9.82
% 9.58/9.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.76/9.93
%------------------------------------------------------------------------------