%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 12:55:13 EDT 2022
% Result : Theorem 0.95s 1.12s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 79 ( 19 unt; 0 def)
% Number of atoms : 1599 ( 0 equ)
% Maximal formula atoms : 214 ( 20 avg)
% Number of connectives : 2493 ( 973 ~; 877 |; 638 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 75 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-1 aty)
% Number of variables : 331 ( 0 sgn 208 !; 99 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X] : r1(X,X) ).
fof(transitivity,axiom,
! [X,Y,Z] :
( ( r1(X,Y)
& r1(Y,Z) )
=> r1(X,Z) ) ).
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ~ p15(Y)
| ! [X] :
( ~ r1(Y,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)
| ! [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)
| ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p14(Y)
& ~ p13(Y) )
| ( ~ p14(Y)
& p13(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p13(X)
& ~ p12(X) )
| ( ~ p13(X)
& p12(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p12(Y)
& ~ p11(Y) )
| ( ~ p12(Y)
& p11(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p11(X)
& ~ p10(X) )
| ( ~ p11(X)
& p10(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p10(Y)
& ~ p9(Y) )
| ( ~ p10(Y)
& p9(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p9(X)
& ~ p8(X) )
| ( ~ p9(X)
& p8(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p8(Y)
& ~ p7(Y) )
| ( ~ p8(Y)
& p7(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p7(X)
& ~ p6(X) )
| ( ~ p7(X)
& p6(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p6(Y)
& ~ p5(Y) )
| ( ~ p6(Y)
& p5(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p5(X)
& ~ p4(X) )
| ( ~ p5(X)
& p4(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p4(Y)
& ~ p3(Y) )
| ( ~ p4(Y)
& p3(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p3(X)
& ~ p2(X) )
| ( ~ p3(X)
& p2(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p15(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p13(Y)
& ~ p14(Y) )
| ( p14(Y)
& p13(Y) )
| ( ~ p12(Y)
& ~ p13(Y) )
| ( p13(Y)
& p12(Y) )
| ( ~ p11(Y)
& ~ p12(Y) )
| ( p12(Y)
& p11(Y) )
| ( ~ p10(Y)
& ~ p11(Y) )
| ( p11(Y)
& p10(Y) )
| ( ~ p9(Y)
& ~ p10(Y) )
| ( p10(Y)
& p9(Y) )
| ( ~ p8(Y)
& ~ p9(Y) )
| ( p9(Y)
& p8(Y) )
| ( ~ p7(Y)
& ~ p8(Y) )
| ( p8(Y)
& p7(Y) )
| ( ~ p6(Y)
& ~ p7(Y) )
| ( p7(Y)
& p6(Y) )
| ( ~ p5(Y)
& ~ p6(Y) )
| ( p6(Y)
& p5(Y) )
| ( ~ p4(Y)
& ~ p5(Y) )
| ( p5(Y)
& p4(Y) )
| ( ~ p3(Y)
& ~ p4(Y) )
| ( p4(Y)
& p3(Y) )
| ( ~ p2(Y)
& ~ p3(Y) )
| ( p3(Y)
& p2(Y) )
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ) ).
fof(subgoal_0,plain,
! [X] :
( ~ ! [Y] :
( ~ r1(X,Y)
| ~ p15(Y)
| ! [X] :
( ~ r1(Y,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)
| ! [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)
| ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p14(Y)
& ~ p13(Y) )
| ( ~ p14(Y)
& p13(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p13(X)
& ~ p12(X) )
| ( ~ p13(X)
& p12(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p12(Y)
& ~ p11(Y) )
| ( ~ p12(Y)
& p11(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p11(X)
& ~ p10(X) )
| ( ~ p11(X)
& p10(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p10(Y)
& ~ p9(Y) )
| ( ~ p10(Y)
& p9(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p9(X)
& ~ p8(X) )
| ( ~ p9(X)
& p8(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p8(Y)
& ~ p7(Y) )
| ( ~ p8(Y)
& p7(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p7(X)
& ~ p6(X) )
| ( ~ p7(X)
& p6(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p6(Y)
& ~ p5(Y) )
| ( ~ p6(Y)
& p5(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p5(X)
& ~ p4(X) )
| ( ~ p5(X)
& p4(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p4(Y)
& ~ p3(Y) )
| ( ~ p4(Y)
& p3(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p3(X)
& ~ p2(X) )
| ( ~ p3(X)
& p2(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p15(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p13(Y)
& ~ p14(Y) )
| ( p14(Y)
& p13(Y) )
| ( ~ p12(Y)
& ~ p13(Y) )
| ( p13(Y)
& p12(Y) )
| ( ~ p11(Y)
& ~ p12(Y) )
| ( p12(Y)
& p11(Y) )
| ( ~ p10(Y)
& ~ p11(Y) )
| ( p11(Y)
& p10(Y) )
| ( ~ p9(Y)
& ~ p10(Y) )
| ( p10(Y)
& p9(Y) )
| ( ~ p8(Y)
& ~ p9(Y) )
| ( p9(Y)
& p8(Y) )
| ( ~ p7(Y)
& ~ p8(Y) )
| ( p8(Y)
& p7(Y) )
| ( ~ p6(Y)
& ~ p7(Y) )
| ( p7(Y)
& p6(Y) )
| ( ~ p5(Y)
& ~ p6(Y) )
| ( p6(Y)
& p5(Y) )
| ( ~ p4(Y)
& ~ p5(Y) )
| ( p5(Y)
& p4(Y) )
| ( ~ p3(Y)
& ~ p4(Y) )
| ( p4(Y)
& p3(Y) )
| ( ~ p2(Y)
& ~ p3(Y) )
| ( p3(Y)
& p2(Y) )
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
inference(strip,[],[main]) ).
fof(negate_0_0,plain,
~ ! [X] :
( ~ ! [Y] :
( ~ r1(X,Y)
| ~ p15(Y)
| ! [X] :
( ~ r1(Y,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)
| ! [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)
| ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p14(Y)
& ~ p13(Y) )
| ( ~ p14(Y)
& p13(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p13(X)
& ~ p12(X) )
| ( ~ p13(X)
& p12(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p12(Y)
& ~ p11(Y) )
| ( ~ p12(Y)
& p11(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p11(X)
& ~ p10(X) )
| ( ~ p11(X)
& p10(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p10(Y)
& ~ p9(Y) )
| ( ~ p10(Y)
& p9(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p9(X)
& ~ p8(X) )
| ( ~ p9(X)
& p8(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p8(Y)
& ~ p7(Y) )
| ( ~ p8(Y)
& p7(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p7(X)
& ~ p6(X) )
| ( ~ p7(X)
& p6(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p6(Y)
& ~ p5(Y) )
| ( ~ p6(Y)
& p5(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p5(X)
& ~ p4(X) )
| ( ~ p5(X)
& p4(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p4(Y)
& ~ p3(Y) )
| ( ~ p4(Y)
& p3(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p3(X)
& ~ p2(X) )
| ( ~ p3(X)
& p2(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p15(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p13(Y)
& ~ p14(Y) )
| ( p14(Y)
& p13(Y) )
| ( ~ p12(Y)
& ~ p13(Y) )
| ( p13(Y)
& p12(Y) )
| ( ~ p11(Y)
& ~ p12(Y) )
| ( p12(Y)
& p11(Y) )
| ( ~ p10(Y)
& ~ p11(Y) )
| ( p11(Y)
& p10(Y) )
| ( ~ p9(Y)
& ~ p10(Y) )
| ( p10(Y)
& p9(Y) )
| ( ~ p8(Y)
& ~ p9(Y) )
| ( p9(Y)
& p8(Y) )
| ( ~ p7(Y)
& ~ p8(Y) )
| ( p8(Y)
& p7(Y) )
| ( ~ p6(Y)
& ~ p7(Y) )
| ( p7(Y)
& p6(Y) )
| ( ~ p5(Y)
& ~ p6(Y) )
| ( p6(Y)
& p5(Y) )
| ( ~ p4(Y)
& ~ p5(Y) )
| ( p5(Y)
& p4(Y) )
| ( ~ p3(Y)
& ~ p4(Y) )
| ( p4(Y)
& p3(Y) )
| ( ~ p2(Y)
& ~ p3(Y) )
| ( p3(Y)
& p2(Y) )
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X] :
( ? [Y] :
( r1(X,Y)
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p15(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)
& ? [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)
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p13(Y)
| p14(Y) )
& ( ~ p14(Y)
| p13(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p12(X)
| p13(X) )
& ( ~ p13(X)
| p12(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p11(Y)
| p12(Y) )
& ( ~ p12(Y)
| p11(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p10(X)
| p11(X) )
& ( ~ p11(X)
| p10(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p10(Y)
| p9(Y) )
& ( ~ p9(Y)
| p10(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p8(X)
| p9(X) )
& ( ~ p9(X)
| p8(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p7(Y)
| p8(Y) )
& ( ~ p8(Y)
| p7(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p6(X)
| p7(X) )
& ( ~ p7(X)
| p6(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p5(Y)
| p6(Y) )
& ( ~ p6(Y)
| p5(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| p5(X) )
& ( ~ p5(X)
| p4(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p3(Y)
| p4(Y) )
& ( ~ p4(Y)
| p3(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| p3(X) )
& ( ~ p3(X)
| p2(X) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( ~ p10(Y)
| ~ p9(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p1(Y)
| p2(Y) )
& ( p10(Y)
| p11(Y) )
& ( p10(Y)
| p9(Y) )
& ( p11(Y)
| p12(Y) )
& ( p12(Y)
| p13(Y) )
& ( p13(Y)
| p14(Y) )
& ( p2(Y)
| p3(Y) )
& ( p3(Y)
| p4(Y) )
& ( p4(Y)
| p5(Y) )
& ( p5(Y)
| p6(Y) )
& ( p6(Y)
| p7(Y) )
& ( p7(Y)
| p8(Y) )
& ( p8(Y)
| p9(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ) )
& ? [Y] :
( p15(Y)
& r1(X,Y)
& ? [X] :
( p1(X)
& r1(Y,X) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p15(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)
& ? [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)
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p13(Y)
| p14(Y) )
& ( ~ p14(Y)
| p13(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p12(X)
| p13(X) )
& ( ~ p13(X)
| p12(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p11(Y)
| p12(Y) )
& ( ~ p12(Y)
| p11(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p10(X)
| p11(X) )
& ( ~ p11(X)
| p10(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p10(Y)
| p9(Y) )
& ( ~ p9(Y)
| p10(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p8(X)
| p9(X) )
& ( ~ p9(X)
| p8(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p7(Y)
| p8(Y) )
& ( ~ p8(Y)
| p7(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p6(X)
| p7(X) )
& ( ~ p7(X)
| p6(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p5(Y)
| p6(Y) )
& ( ~ p6(Y)
| p5(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| p5(X) )
& ( ~ p5(X)
| p4(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p3(Y)
| p4(Y) )
& ( ~ p4(Y)
| p3(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| p3(X) )
& ( ~ p3(X)
| p2(X) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( ~ p10(Y)
| ~ p9(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p1(Y)
| p2(Y) )
& ( p10(Y)
| p11(Y) )
& ( p10(Y)
| p9(Y) )
& ( p11(Y)
| p12(Y) )
& ( p12(Y)
| p13(Y) )
& ( p13(Y)
| p14(Y) )
& ( p2(Y)
| p3(Y) )
& ( p3(Y)
| p4(Y) )
& ( p4(Y)
| p5(Y) )
& ( p5(Y)
| p6(Y) )
& ( p6(Y)
| p7(Y) )
& ( p7(Y)
| p8(Y) )
& ( p8(Y)
| p9(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ) )
& ? [Y] :
( p15(Y)
& r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( p1(X)
& r1(Y,X) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p15(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)
& ? [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)
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p13(Y)
| p14(Y) )
& ( ~ p14(Y)
| p13(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p12(X)
| p13(X) )
& ( ~ p13(X)
| p12(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p11(Y)
| p12(Y) )
& ( ~ p12(Y)
| p11(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p10(X)
| p11(X) )
& ( ~ p11(X)
| p10(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p10(Y)
| p9(Y) )
& ( ~ p9(Y)
| p10(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p8(X)
| p9(X) )
& ( ~ p9(X)
| p8(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p7(Y)
| p8(Y) )
& ( ~ p8(Y)
| p7(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p6(X)
| p7(X) )
& ( ~ p7(X)
| p6(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p5(Y)
| p6(Y) )
& ( ~ p6(Y)
| p5(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| p5(X) )
& ( ~ p5(X)
| p4(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p3(Y)
| p4(Y) )
& ( ~ p4(Y)
| p3(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| p3(X) )
& ( ~ p3(X)
| p2(X) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( ~ p10(Y)
| ~ p9(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p1(Y)
| p2(Y) )
& ( p10(Y)
| p11(Y) )
& ( p10(Y)
| p9(Y) )
& ( p11(Y)
| p12(Y) )
& ( p12(Y)
| p13(Y) )
& ( p13(Y)
| p14(Y) )
& ( p2(Y)
| p3(Y) )
& ( p3(Y)
| p4(Y) )
& ( p4(Y)
| p5(Y) )
& ( p5(Y)
| p6(Y) )
& ( p6(Y)
| p7(Y) )
& ( p7(Y)
| p8(Y) )
& ( p8(Y)
| p9(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
& ! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| ( ? [Y] :
( ~ p15(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)
& ? [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)
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p13(Y)
| p14(Y) )
& ( ~ p14(Y)
| p13(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p12(X)
| p13(X) )
& ( ~ p13(X)
| p12(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p11(Y)
| p12(Y) )
& ( ~ p12(Y)
| p11(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p10(X)
| p11(X) )
& ( ~ p11(X)
| p10(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p10(Y)
| p9(Y) )
& ( ~ p9(Y)
| p10(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p8(X)
| p9(X) )
& ( ~ p9(X)
| p8(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p7(Y)
| p8(Y) )
& ( ~ p8(Y)
| p7(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p6(X)
| p7(X) )
& ( ~ p7(X)
| p6(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p5(Y)
| p6(Y) )
& ( ~ p6(Y)
| p5(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| p5(X) )
& ( ~ p5(X)
| p4(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p3(Y)
| p4(Y) )
& ( ~ p4(Y)
| p3(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| p3(X) )
& ( ~ p3(X)
| p2(X) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( ~ p10(Y)
| ~ p9(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p1(Y)
| p2(Y) )
& ( p10(Y)
| p11(Y) )
& ( p10(Y)
| p9(Y) )
& ( p11(Y)
| p12(Y) )
& ( p12(Y)
| p13(Y) )
& ( p13(Y)
| p14(Y) )
& ( p2(Y)
| p3(Y) )
& ( p3(Y)
| p4(Y) )
& ( p4(Y)
| p5(Y) )
& ( p5(Y)
| p6(Y) )
& ( p6(Y)
| p7(Y) )
& ( p7(Y)
| p8(Y) )
& ( p8(Y)
| p9(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| ( ? [Y] :
( ~ p15(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)
& ? [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)
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p13(Y)
| p14(Y) )
& ( ~ p14(Y)
| p13(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p12(X)
| p13(X) )
& ( ~ p13(X)
| p12(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p11(Y)
| p12(Y) )
& ( ~ p12(Y)
| p11(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p10(X)
| p11(X) )
& ( ~ p11(X)
| p10(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p10(Y)
| p9(Y) )
& ( ~ p9(Y)
| p10(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p8(X)
| p9(X) )
& ( ~ p9(X)
| p8(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p7(Y)
| p8(Y) )
& ( ~ p8(Y)
| p7(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p6(X)
| p7(X) )
& ( ~ p7(X)
| p6(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p5(Y)
| p6(Y) )
& ( ~ p6(Y)
| p5(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| p5(X) )
& ( ~ p5(X)
| p4(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p3(Y)
| p4(Y) )
& ( ~ p4(Y)
| p3(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| p3(X) )
& ( ~ p3(X)
| p2(X) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( ~ p10(Y)
| ~ p9(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p1(Y)
| p2(Y) )
& ( p10(Y)
| p11(Y) )
& ( p10(Y)
| p9(Y) )
& ( p11(Y)
| p12(Y) )
& ( p12(Y)
| p13(Y) )
& ( p13(Y)
| p14(Y) )
& ( p2(Y)
| p3(Y) )
& ( p3(Y)
| p4(Y) )
& ( p4(Y)
| p5(Y) )
& ( p5(Y)
| p6(Y) )
& ( p6(Y)
| p7(Y) )
& ( p7(Y)
| p8(Y) )
& ( p8(Y)
| p9(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| ( ? [Y] :
( ~ p15(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)
& ? [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)
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p13(Y)
| p14(Y) )
& ( ~ p14(Y)
| p13(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p12(X)
| p13(X) )
& ( ~ p13(X)
| p12(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p11(Y)
| p12(Y) )
& ( ~ p12(Y)
| p11(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p10(X)
| p11(X) )
& ( ~ p11(X)
| p10(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p10(Y)
| p9(Y) )
& ( ~ p9(Y)
| p10(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p8(X)
| p9(X) )
& ( ~ p9(X)
| p8(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p7(Y)
| p8(Y) )
& ( ~ p8(Y)
| p7(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p6(X)
| p7(X) )
& ( ~ p7(X)
| p6(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p5(Y)
| p6(Y) )
& ( ~ p6(Y)
| p5(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p4(X)
| p5(X) )
& ( ~ p5(X)
| p4(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p3(Y)
| p4(Y) )
& ( ~ p4(Y)
| p3(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p2(X)
| p3(X) )
& ( ~ p3(X)
| p2(X) ) ) ) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( ~ p10(Y)
| ~ p9(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p1(Y)
| p2(Y) )
& ( p10(Y)
| p11(Y) )
& ( p10(Y)
| p9(Y) )
& ( p11(Y)
| p12(Y) )
& ( p12(Y)
| p13(Y) )
& ( p13(Y)
| p14(Y) )
& ( p2(Y)
| p3(Y) )
& ( p3(Y)
| p4(Y) )
& ( p4(Y)
| p5(Y) )
& ( p5(Y)
| p6(Y) )
& ( p6(Y)
| p7(Y) )
& ( p7(Y)
| p8(Y) )
& ( p8(Y)
| p9(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,X0,Y] :
( ( ~ p15(skolemFOFtoCNF_Y_9(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_9(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\''(X),skolemFOFtoCNF_Y_2(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_1'(X),skolemFOFtoCNF_Y_3(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_2'(X),skolemFOFtoCNF_Y_4(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_3'(X),skolemFOFtoCNF_Y_5(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_4'(X),skolemFOFtoCNF_Y_6(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_5'(X),skolemFOFtoCNF_Y_7(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_2(X),'skolemFOFtoCNF_X\''(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_3(X),'skolemFOFtoCNF_X\'_1'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_4(X),'skolemFOFtoCNF_X\'_2'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_5(X),'skolemFOFtoCNF_X\'_3'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_6(X),'skolemFOFtoCNF_X\'_4'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_7(X),'skolemFOFtoCNF_X\'_5'(X)) )
& ( ~ p1(skolemFOFtoCNF_Y_1(X))
| ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p10(skolemFOFtoCNF_Y_1(X))
| ~ p11(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p10(skolemFOFtoCNF_Y_1(X))
| ~ p9(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p11(skolemFOFtoCNF_Y_1(X))
| ~ p12(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p12(skolemFOFtoCNF_Y_1(X))
| ~ p13(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p13(skolemFOFtoCNF_Y_1(X))
| ~ p14(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ p3(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p3(skolemFOFtoCNF_Y_1(X))
| ~ p4(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p4(skolemFOFtoCNF_Y_1(X))
| ~ p5(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p5(skolemFOFtoCNF_Y_1(X))
| ~ p6(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p6(skolemFOFtoCNF_Y_1(X))
| ~ p7(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p7(skolemFOFtoCNF_Y_1(X))
| ~ p8(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p8(skolemFOFtoCNF_Y_1(X))
| ~ p9(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p10(skolemFOFtoCNF_Y_1(X))
| p11(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p10(skolemFOFtoCNF_Y_1(X))
| p9(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p11(skolemFOFtoCNF_Y_1(X))
| p12(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p12(skolemFOFtoCNF_Y_1(X))
| p13(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p13(skolemFOFtoCNF_Y_1(X))
| p14(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p2(skolemFOFtoCNF_Y_1(X))
| p3(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p3(skolemFOFtoCNF_Y_1(X))
| p4(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p4(skolemFOFtoCNF_Y_1(X))
| p5(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p5(skolemFOFtoCNF_Y_1(X))
| p6(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p6(skolemFOFtoCNF_Y_1(X))
| p7(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p7(skolemFOFtoCNF_Y_1(X))
| p8(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p8(skolemFOFtoCNF_Y_1(X))
| p9(skolemFOFtoCNF_Y_1(X)) )
& ( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) )
& ( ~ p10(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_6(X),X0)
| p11(X0) )
& ( ~ p10(Y)
| ~ r1('skolemFOFtoCNF_X\'_3'(X),skolemFOFtoCNF_Y_5(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p9(Y) )
& ( ~ p11(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_6(X),X0)
| p10(X0) )
& ( ~ p11(Y)
| ~ r1('skolemFOFtoCNF_X\'_4'(X),skolemFOFtoCNF_Y_6(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p12(Y) )
& ( ~ p12(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_7(X),X0)
| p13(X0) )
& ( ~ p12(Y)
| ~ r1('skolemFOFtoCNF_X\'_4'(X),skolemFOFtoCNF_Y_6(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p11(Y) )
& ( ~ p13(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_7(X),X0)
| p12(X0) )
& ( ~ p13(Y)
| ~ r1('skolemFOFtoCNF_X\'_5'(X),skolemFOFtoCNF_Y_7(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p14(Y) )
& ( ~ p14(Y)
| ~ r1('skolemFOFtoCNF_X\'_5'(X),skolemFOFtoCNF_Y_7(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p13(Y) )
& ( ~ p2(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_2(X),X0)
| p3(X0) )
& ( ~ p2(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p1(Y) )
& ( ~ p3(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_2(X),X0)
| p2(X0) )
& ( ~ p3(Y)
| ~ r1('skolemFOFtoCNF_X\''(X),skolemFOFtoCNF_Y_2(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p4(Y) )
& ( ~ p4(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_3(X),X0)
| p5(X0) )
& ( ~ p4(Y)
| ~ r1('skolemFOFtoCNF_X\''(X),skolemFOFtoCNF_Y_2(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p3(Y) )
& ( ~ p5(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_3(X),X0)
| p4(X0) )
& ( ~ p5(Y)
| ~ r1('skolemFOFtoCNF_X\'_1'(X),skolemFOFtoCNF_Y_3(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p6(Y) )
& ( ~ p6(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_4(X),X0)
| p7(X0) )
& ( ~ p6(Y)
| ~ r1('skolemFOFtoCNF_X\'_1'(X),skolemFOFtoCNF_Y_3(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p5(Y) )
& ( ~ p7(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_4(X),X0)
| p6(X0) )
& ( ~ p7(Y)
| ~ r1('skolemFOFtoCNF_X\'_2'(X),skolemFOFtoCNF_Y_4(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p8(Y) )
& ( ~ p8(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_5(X),X0)
| p9(X0) )
& ( ~ p8(Y)
| ~ r1('skolemFOFtoCNF_X\'_2'(X),skolemFOFtoCNF_Y_4(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p7(Y) )
& ( ~ p9(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_5(X),X0)
| p8(X0) )
& ( ~ p9(Y)
| ~ r1('skolemFOFtoCNF_X\'_3'(X),skolemFOFtoCNF_Y_5(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p10(Y) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] : r1(X,X),
inference(canonicalize,[],[reflexivity]) ).
fof(normalize_0_9,plain,
! [X] : r1(X,X),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_2(X),'skolemFOFtoCNF_X\''(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_12,plain,
! [X,Y,Z] :
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(canonicalize,[],[transitivity]) ).
fof(normalize_0_13,plain,
! [X,Y,Z] :
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ p3(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\''(X),skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ p4(Y)
| ~ r1('skolemFOFtoCNF_X\''(X),skolemFOFtoCNF_Y_2(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p3(Y) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p3(skolemFOFtoCNF_Y_1(X))
| p4(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_1,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| r1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_0:[bind(X,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_2,plain,
r1(X,X),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_3,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_4,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_6,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_2(X),'skolemFOFtoCNF_X\''(X)) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_8,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_9,plain,
r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_3,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
( ~ r1(X_43,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| r1(X_43,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_43)),bind(Y,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))),bind(Z,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_12,plain,
( ~ r1(X_43,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| r1(X_43,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_12:[bind(X_43,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_14,plain,
r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) )],[refute_0_6,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ r1(X,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| ~ r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| r1(X,skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_10:[bind(Y,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))),bind(Z,$fot(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_16,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_17,plain,
r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ r1(X,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| r1(X,skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) )],[refute_0_17,refute_0_15]) ).
cnf(refute_0_19,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_20,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ r1(X,skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| r1(X,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_10:[bind(Y,$fot(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))),bind(Z,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_22,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_23,plain,
r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) )],[refute_0_14,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ r1(X,skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| r1(X,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) )],[refute_0_23,refute_0_21]) ).
cnf(refute_0_25,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_26,plain,
r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) )],[refute_0_20,refute_0_25]) ).
cnf(refute_0_27,plain,
r1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) )],[refute_0_26,refute_0_1]) ).
cnf(refute_0_28,plain,
( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_29,plain,
( ~ p1(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| ~ r1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))),bind(Y,$fot(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))))]]) ).
cnf(refute_0_30,plain,
( ~ p1(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(resolve,[$cnf( r1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_32,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| p1(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_31:[bind(X,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_33,plain,
( p1(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) )],[refute_0_26,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ p3(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_35,plain,
( ~ p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| ~ p3(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_34:[bind(X,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_36,plain,
( ~ p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| ~ p3(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) )],[refute_0_26,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\''(X),skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_38,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| r1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_37:[bind(X,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_39,plain,
r1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) )],[refute_0_14,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ p4(Y)
| ~ r1('skolemFOFtoCNF_X\''(X),skolemFOFtoCNF_Y_2(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p3(Y) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_41,plain,
( ~ p4(X_319)
| ~ r1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| p3(X_319) ),
inference(subst,[],[refute_0_40:[bind(X,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))),bind(Y,$fot(X_319))]]) ).
cnf(refute_0_42,plain,
( ~ p4(X_319)
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| p3(X_319) ),
inference(resolve,[$cnf( r1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ p4(X_319)
| p3(X_319) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) )],[refute_0_14,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ p4(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| p3(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_43:[bind(X_319,$fot(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))))]]) ).
cnf(refute_0_45,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p3(skolemFOFtoCNF_Y_1(X))
| p4(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_46,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| p3(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| p4(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_45:[bind(X,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_47,plain,
( p3(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))))
| p4(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) )],[refute_0_26,refute_0_46]) ).
cnf(refute_0_48,plain,
p3(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) )],[refute_0_47,refute_0_44]) ).
cnf(refute_0_49,plain,
~ p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) )],[refute_0_48,refute_0_36]) ).
cnf(refute_0_50,plain,
p1(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) )],[refute_0_33,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) ),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) )],[refute_0_50,refute_0_30]) ).
cnf(refute_0_52,plain,
p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))) )],[refute_0_26,refute_0_51]) ).
cnf(refute_0_53,plain,
$false,
inference(resolve,[$cnf( p2(skolemFOFtoCNF_Y_1('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))) )],[refute_0_52,refute_0_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 10:04:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.95/1.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.95/1.12
% 0.95/1.12 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.99/1.16
%------------------------------------------------------------------------------