%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:43:21 PM UTC 2026
% Result : Theorem 1.78s 2.04s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 3
% Syntax : Number of formulae : 182 ( 33 unt; 0 def)
% Number of atoms : 3438 ( 0 equ)
% Maximal formula atoms : 454 ( 18 avg)
% Number of connectives : 5351 (2095 ~;1908 |;1343 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 150 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 2 con; 0-1 aty)
% Number of variables : 643 ( 0 sgn 406 !; 189 ?)
% 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)
| ~ p30(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)
| ! [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)
| ! [X] :
( ~ r1(Y,X)
| $false )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p29(X)
& ~ p28(X) )
| ( ~ p29(X)
& p28(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p28(Y)
& ~ p27(Y) )
| ( ~ p28(Y)
& p27(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p27(X)
& ~ p26(X) )
| ( ~ p27(X)
& p26(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p26(Y)
& ~ p25(Y) )
| ( ~ p26(Y)
& p25(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p25(X)
& ~ p24(X) )
| ( ~ p25(X)
& p24(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p24(Y)
& ~ p23(Y) )
| ( ~ p24(Y)
& p23(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p23(X)
& ~ p22(X) )
| ( ~ p23(X)
& p22(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p22(Y)
& ~ p21(Y) )
| ( ~ p22(Y)
& p21(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p21(X)
& ~ p20(X) )
| ( ~ p21(X)
& p20(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p20(Y)
& ~ p19(Y) )
| ( ~ p20(Y)
& p19(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p19(X)
& ~ p18(X) )
| ( ~ p19(X)
& p18(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p18(Y)
& ~ p17(Y) )
| ( ~ p18(Y)
& p17(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p17(X)
& ~ p16(X) )
| ( ~ p17(X)
& p16(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p16(Y)
& ~ p15(Y) )
| ( ~ p16(Y)
& p15(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p15(X)
& ~ p14(X) )
| ( ~ p15(X)
& p14(X) ) ) ) )
| ~ ! [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)
| p30(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p28(Y)
& ~ p29(Y) )
| ( p29(Y)
& p28(Y) )
| ( ~ p27(Y)
& ~ p28(Y) )
| ( p28(Y)
& p27(Y) )
| ( ~ p26(Y)
& ~ p27(Y) )
| ( p27(Y)
& p26(Y) )
| ( ~ p25(Y)
& ~ p26(Y) )
| ( p26(Y)
& p25(Y) )
| ( ~ p24(Y)
& ~ p25(Y) )
| ( p25(Y)
& p24(Y) )
| ( ~ p23(Y)
& ~ p24(Y) )
| ( p24(Y)
& p23(Y) )
| ( ~ p22(Y)
& ~ p23(Y) )
| ( p23(Y)
& p22(Y) )
| ( ~ p21(Y)
& ~ p22(Y) )
| ( p22(Y)
& p21(Y) )
| ( ~ p20(Y)
& ~ p21(Y) )
| ( p21(Y)
& p20(Y) )
| ( ~ p19(Y)
& ~ p20(Y) )
| ( p20(Y)
& p19(Y) )
| ( ~ p18(Y)
& ~ p19(Y) )
| ( p19(Y)
& p18(Y) )
| ( ~ p17(Y)
& ~ p18(Y) )
| ( p18(Y)
& p17(Y) )
| ( ~ p16(Y)
& ~ p17(Y) )
| ( p17(Y)
& p16(Y) )
| ( ~ p15(Y)
& ~ p16(Y) )
| ( p16(Y)
& p15(Y) )
| ( ~ p14(Y)
& ~ p15(Y) )
| ( p15(Y)
& p14(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)
| ~ p30(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)
| ! [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)
| ! [X] :
( ~ r1(Y,X)
| $false )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p29(X)
& ~ p28(X) )
| ( ~ p29(X)
& p28(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p28(Y)
& ~ p27(Y) )
| ( ~ p28(Y)
& p27(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p27(X)
& ~ p26(X) )
| ( ~ p27(X)
& p26(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p26(Y)
& ~ p25(Y) )
| ( ~ p26(Y)
& p25(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p25(X)
& ~ p24(X) )
| ( ~ p25(X)
& p24(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p24(Y)
& ~ p23(Y) )
| ( ~ p24(Y)
& p23(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p23(X)
& ~ p22(X) )
| ( ~ p23(X)
& p22(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p22(Y)
& ~ p21(Y) )
| ( ~ p22(Y)
& p21(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p21(X)
& ~ p20(X) )
| ( ~ p21(X)
& p20(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p20(Y)
& ~ p19(Y) )
| ( ~ p20(Y)
& p19(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p19(X)
& ~ p18(X) )
| ( ~ p19(X)
& p18(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p18(Y)
& ~ p17(Y) )
| ( ~ p18(Y)
& p17(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p17(X)
& ~ p16(X) )
| ( ~ p17(X)
& p16(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p16(Y)
& ~ p15(Y) )
| ( ~ p16(Y)
& p15(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p15(X)
& ~ p14(X) )
| ( ~ p15(X)
& p14(X) ) ) ) )
| ~ ! [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)
| p30(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p28(Y)
& ~ p29(Y) )
| ( p29(Y)
& p28(Y) )
| ( ~ p27(Y)
& ~ p28(Y) )
| ( p28(Y)
& p27(Y) )
| ( ~ p26(Y)
& ~ p27(Y) )
| ( p27(Y)
& p26(Y) )
| ( ~ p25(Y)
& ~ p26(Y) )
| ( p26(Y)
& p25(Y) )
| ( ~ p24(Y)
& ~ p25(Y) )
| ( p25(Y)
& p24(Y) )
| ( ~ p23(Y)
& ~ p24(Y) )
| ( p24(Y)
& p23(Y) )
| ( ~ p22(Y)
& ~ p23(Y) )
| ( p23(Y)
& p22(Y) )
| ( ~ p21(Y)
& ~ p22(Y) )
| ( p22(Y)
& p21(Y) )
| ( ~ p20(Y)
& ~ p21(Y) )
| ( p21(Y)
& p20(Y) )
| ( ~ p19(Y)
& ~ p20(Y) )
| ( p20(Y)
& p19(Y) )
| ( ~ p18(Y)
& ~ p19(Y) )
| ( p19(Y)
& p18(Y) )
| ( ~ p17(Y)
& ~ p18(Y) )
| ( p18(Y)
& p17(Y) )
| ( ~ p16(Y)
& ~ p17(Y) )
| ( p17(Y)
& p16(Y) )
| ( ~ p15(Y)
& ~ p16(Y) )
| ( p16(Y)
& p15(Y) )
| ( ~ p14(Y)
& ~ p15(Y) )
| ( p15(Y)
& p14(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)
| ~ p30(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)
| ! [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)
| ! [X] :
( ~ r1(Y,X)
| $false )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p29(X)
& ~ p28(X) )
| ( ~ p29(X)
& p28(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p28(Y)
& ~ p27(Y) )
| ( ~ p28(Y)
& p27(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p27(X)
& ~ p26(X) )
| ( ~ p27(X)
& p26(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p26(Y)
& ~ p25(Y) )
| ( ~ p26(Y)
& p25(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p25(X)
& ~ p24(X) )
| ( ~ p25(X)
& p24(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p24(Y)
& ~ p23(Y) )
| ( ~ p24(Y)
& p23(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p23(X)
& ~ p22(X) )
| ( ~ p23(X)
& p22(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p22(Y)
& ~ p21(Y) )
| ( ~ p22(Y)
& p21(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p21(X)
& ~ p20(X) )
| ( ~ p21(X)
& p20(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p20(Y)
& ~ p19(Y) )
| ( ~ p20(Y)
& p19(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p19(X)
& ~ p18(X) )
| ( ~ p19(X)
& p18(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p18(Y)
& ~ p17(Y) )
| ( ~ p18(Y)
& p17(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p17(X)
& ~ p16(X) )
| ( ~ p17(X)
& p16(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p16(Y)
& ~ p15(Y) )
| ( ~ p16(Y)
& p15(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p15(X)
& ~ p14(X) )
| ( ~ p15(X)
& p14(X) ) ) ) )
| ~ ! [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)
| p30(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p28(Y)
& ~ p29(Y) )
| ( p29(Y)
& p28(Y) )
| ( ~ p27(Y)
& ~ p28(Y) )
| ( p28(Y)
& p27(Y) )
| ( ~ p26(Y)
& ~ p27(Y) )
| ( p27(Y)
& p26(Y) )
| ( ~ p25(Y)
& ~ p26(Y) )
| ( p26(Y)
& p25(Y) )
| ( ~ p24(Y)
& ~ p25(Y) )
| ( p25(Y)
& p24(Y) )
| ( ~ p23(Y)
& ~ p24(Y) )
| ( p24(Y)
& p23(Y) )
| ( ~ p22(Y)
& ~ p23(Y) )
| ( p23(Y)
& p22(Y) )
| ( ~ p21(Y)
& ~ p22(Y) )
| ( p22(Y)
& p21(Y) )
| ( ~ p20(Y)
& ~ p21(Y) )
| ( p21(Y)
& p20(Y) )
| ( ~ p19(Y)
& ~ p20(Y) )
| ( p20(Y)
& p19(Y) )
| ( ~ p18(Y)
& ~ p19(Y) )
| ( p19(Y)
& p18(Y) )
| ( ~ p17(Y)
& ~ p18(Y) )
| ( p18(Y)
& p17(Y) )
| ( ~ p16(Y)
& ~ p17(Y) )
| ( p17(Y)
& p16(Y) )
| ( ~ p15(Y)
& ~ p16(Y) )
| ( p16(Y)
& p15(Y) )
| ( ~ p14(Y)
& ~ p15(Y) )
| ( p15(Y)
& p14(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] : r1(X,X),
inference(canonicalize,[],[reflexivity]) ).
fof(normalize_0_1,plain,
! [X] : r1(X,X),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [X] :
( ? [Y] :
( r1(X,Y)
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p30(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)
& ? [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)
& ? [X] : r1(Y,X)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p28(X)
| p29(X) )
& ( ~ p29(X)
| p28(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p27(Y)
| p28(Y) )
& ( ~ p28(Y)
| p27(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p26(X)
| p27(X) )
& ( ~ p27(X)
| p26(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p25(Y)
| p26(Y) )
& ( ~ p26(Y)
| p25(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p24(X)
| p25(X) )
& ( ~ p25(X)
| p24(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p23(Y)
| p24(Y) )
& ( ~ p24(Y)
| p23(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p22(X)
| p23(X) )
& ( ~ p23(X)
| p22(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p21(Y)
| p22(Y) )
& ( ~ p22(Y)
| p21(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p20(X)
| p21(X) )
& ( ~ p21(X)
| p20(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p19(Y)
| p20(Y) )
& ( ~ p20(Y)
| p19(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p18(X)
| p19(X) )
& ( ~ p19(X)
| p18(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p17(Y)
| p18(Y) )
& ( ~ p18(Y)
| p17(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p16(X)
| p17(X) )
& ( ~ p17(X)
| p16(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p15(Y)
| p16(Y) )
& ( ~ p16(Y)
| p15(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p14(X)
| p15(X) )
& ( ~ p15(X)
| p14(X) ) ) ) )
& ! [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) )
& ( ~ p14(Y)
| ~ p15(Y) )
& ( ~ p15(Y)
| ~ p16(Y) )
& ( ~ p16(Y)
| ~ p17(Y) )
& ( ~ p17(Y)
| ~ p18(Y) )
& ( ~ p18(Y)
| ~ p19(Y) )
& ( ~ p19(Y)
| ~ p20(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p20(Y)
| ~ p21(Y) )
& ( ~ p21(Y)
| ~ p22(Y) )
& ( ~ p22(Y)
| ~ p23(Y) )
& ( ~ p23(Y)
| ~ p24(Y) )
& ( ~ p24(Y)
| ~ p25(Y) )
& ( ~ p25(Y)
| ~ p26(Y) )
& ( ~ p26(Y)
| ~ p27(Y) )
& ( ~ p27(Y)
| ~ p28(Y) )
& ( ~ p28(Y)
| ~ p29(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) )
& ( p14(Y)
| p15(Y) )
& ( p15(Y)
| p16(Y) )
& ( p16(Y)
| p17(Y) )
& ( p17(Y)
| p18(Y) )
& ( p18(Y)
| p19(Y) )
& ( p19(Y)
| p20(Y) )
& ( p2(Y)
| p3(Y) )
& ( p20(Y)
| p21(Y) )
& ( p21(Y)
| p22(Y) )
& ( p22(Y)
| p23(Y) )
& ( p23(Y)
| p24(Y) )
& ( p24(Y)
| p25(Y) )
& ( p25(Y)
| p26(Y) )
& ( p26(Y)
| p27(Y) )
& ( p27(Y)
| p28(Y) )
& ( p28(Y)
| p29(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] :
( p30(Y)
& r1(X,Y)
& ? [X] :
( p1(X)
& r1(Y,X) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_3,plain,
( ? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p30(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)
& ? [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)
& ? [X] : r1(Y,X)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p28(X)
| p29(X) )
& ( ~ p29(X)
| p28(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p27(Y)
| p28(Y) )
& ( ~ p28(Y)
| p27(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p26(X)
| p27(X) )
& ( ~ p27(X)
| p26(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p25(Y)
| p26(Y) )
& ( ~ p26(Y)
| p25(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p24(X)
| p25(X) )
& ( ~ p25(X)
| p24(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p23(Y)
| p24(Y) )
& ( ~ p24(Y)
| p23(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p22(X)
| p23(X) )
& ( ~ p23(X)
| p22(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p21(Y)
| p22(Y) )
& ( ~ p22(Y)
| p21(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p20(X)
| p21(X) )
& ( ~ p21(X)
| p20(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p19(Y)
| p20(Y) )
& ( ~ p20(Y)
| p19(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p18(X)
| p19(X) )
& ( ~ p19(X)
| p18(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p17(Y)
| p18(Y) )
& ( ~ p18(Y)
| p17(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p16(X)
| p17(X) )
& ( ~ p17(X)
| p16(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p15(Y)
| p16(Y) )
& ( ~ p16(Y)
| p15(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p14(X)
| p15(X) )
& ( ~ p15(X)
| p14(X) ) ) ) )
& ! [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) )
& ( ~ p14(Y)
| ~ p15(Y) )
& ( ~ p15(Y)
| ~ p16(Y) )
& ( ~ p16(Y)
| ~ p17(Y) )
& ( ~ p17(Y)
| ~ p18(Y) )
& ( ~ p18(Y)
| ~ p19(Y) )
& ( ~ p19(Y)
| ~ p20(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p20(Y)
| ~ p21(Y) )
& ( ~ p21(Y)
| ~ p22(Y) )
& ( ~ p22(Y)
| ~ p23(Y) )
& ( ~ p23(Y)
| ~ p24(Y) )
& ( ~ p24(Y)
| ~ p25(Y) )
& ( ~ p25(Y)
| ~ p26(Y) )
& ( ~ p26(Y)
| ~ p27(Y) )
& ( ~ p27(Y)
| ~ p28(Y) )
& ( ~ p28(Y)
| ~ p29(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) )
& ( p14(Y)
| p15(Y) )
& ( p15(Y)
| p16(Y) )
& ( p16(Y)
| p17(Y) )
& ( p17(Y)
| p18(Y) )
& ( p18(Y)
| p19(Y) )
& ( p19(Y)
| p20(Y) )
& ( p2(Y)
| p3(Y) )
& ( p20(Y)
| p21(Y) )
& ( p21(Y)
| p22(Y) )
& ( p22(Y)
| p23(Y) )
& ( p23(Y)
| p24(Y) )
& ( p24(Y)
| p25(Y) )
& ( p25(Y)
| p26(Y) )
& ( p26(Y)
| p27(Y) )
& ( p27(Y)
| p28(Y) )
& ( p28(Y)
| p29(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] :
( p30(Y)
& r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( p1(X)
& r1(Y,X) ) ) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] :
( ~ p30(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)
& ? [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)
& ? [X] : r1(Y,X)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p28(X)
| p29(X) )
& ( ~ p29(X)
| p28(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p27(Y)
| p28(Y) )
& ( ~ p28(Y)
| p27(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p26(X)
| p27(X) )
& ( ~ p27(X)
| p26(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p25(Y)
| p26(Y) )
& ( ~ p26(Y)
| p25(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p24(X)
| p25(X) )
& ( ~ p25(X)
| p24(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p23(Y)
| p24(Y) )
& ( ~ p24(Y)
| p23(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p22(X)
| p23(X) )
& ( ~ p23(X)
| p22(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p21(Y)
| p22(Y) )
& ( ~ p22(Y)
| p21(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p20(X)
| p21(X) )
& ( ~ p21(X)
| p20(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p19(Y)
| p20(Y) )
& ( ~ p20(Y)
| p19(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p18(X)
| p19(X) )
& ( ~ p19(X)
| p18(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p17(Y)
| p18(Y) )
& ( ~ p18(Y)
| p17(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p16(X)
| p17(X) )
& ( ~ p17(X)
| p16(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p15(Y)
| p16(Y) )
& ( ~ p16(Y)
| p15(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p14(X)
| p15(X) )
& ( ~ p15(X)
| p14(X) ) ) ) )
& ! [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) )
& ( ~ p14(Y)
| ~ p15(Y) )
& ( ~ p15(Y)
| ~ p16(Y) )
& ( ~ p16(Y)
| ~ p17(Y) )
& ( ~ p17(Y)
| ~ p18(Y) )
& ( ~ p18(Y)
| ~ p19(Y) )
& ( ~ p19(Y)
| ~ p20(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p20(Y)
| ~ p21(Y) )
& ( ~ p21(Y)
| ~ p22(Y) )
& ( ~ p22(Y)
| ~ p23(Y) )
& ( ~ p23(Y)
| ~ p24(Y) )
& ( ~ p24(Y)
| ~ p25(Y) )
& ( ~ p25(Y)
| ~ p26(Y) )
& ( ~ p26(Y)
| ~ p27(Y) )
& ( ~ p27(Y)
| ~ p28(Y) )
& ( ~ p28(Y)
| ~ p29(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) )
& ( p14(Y)
| p15(Y) )
& ( p15(Y)
| p16(Y) )
& ( p16(Y)
| p17(Y) )
& ( p17(Y)
| p18(Y) )
& ( p18(Y)
| p19(Y) )
& ( p19(Y)
| p20(Y) )
& ( p2(Y)
| p3(Y) )
& ( p20(Y)
| p21(Y) )
& ( p21(Y)
| p22(Y) )
& ( p22(Y)
| p23(Y) )
& ( p23(Y)
| p24(Y) )
& ( p24(Y)
| p25(Y) )
& ( p25(Y)
| p26(Y) )
& ( p26(Y)
| p27(Y) )
& ( p27(Y)
| p28(Y) )
& ( p28(Y)
| p29(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,
( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
& ! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| ( ? [Y] :
( ~ p30(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)
& ? [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)
& ? [X] : r1(Y,X)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p28(X)
| p29(X) )
& ( ~ p29(X)
| p28(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p27(Y)
| p28(Y) )
& ( ~ p28(Y)
| p27(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p26(X)
| p27(X) )
& ( ~ p27(X)
| p26(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p25(Y)
| p26(Y) )
& ( ~ p26(Y)
| p25(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p24(X)
| p25(X) )
& ( ~ p25(X)
| p24(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p23(Y)
| p24(Y) )
& ( ~ p24(Y)
| p23(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p22(X)
| p23(X) )
& ( ~ p23(X)
| p22(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p21(Y)
| p22(Y) )
& ( ~ p22(Y)
| p21(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p20(X)
| p21(X) )
& ( ~ p21(X)
| p20(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p19(Y)
| p20(Y) )
& ( ~ p20(Y)
| p19(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p18(X)
| p19(X) )
& ( ~ p19(X)
| p18(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p17(Y)
| p18(Y) )
& ( ~ p18(Y)
| p17(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p16(X)
| p17(X) )
& ( ~ p17(X)
| p16(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p15(Y)
| p16(Y) )
& ( ~ p16(Y)
| p15(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p14(X)
| p15(X) )
& ( ~ p15(X)
| p14(X) ) ) ) )
& ! [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) )
& ( ~ p14(Y)
| ~ p15(Y) )
& ( ~ p15(Y)
| ~ p16(Y) )
& ( ~ p16(Y)
| ~ p17(Y) )
& ( ~ p17(Y)
| ~ p18(Y) )
& ( ~ p18(Y)
| ~ p19(Y) )
& ( ~ p19(Y)
| ~ p20(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p20(Y)
| ~ p21(Y) )
& ( ~ p21(Y)
| ~ p22(Y) )
& ( ~ p22(Y)
| ~ p23(Y) )
& ( ~ p23(Y)
| ~ p24(Y) )
& ( ~ p24(Y)
| ~ p25(Y) )
& ( ~ p25(Y)
| ~ p26(Y) )
& ( ~ p26(Y)
| ~ p27(Y) )
& ( ~ p27(Y)
| ~ p28(Y) )
& ( ~ p28(Y)
| ~ p29(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) )
& ( p14(Y)
| p15(Y) )
& ( p15(Y)
| p16(Y) )
& ( p16(Y)
| p17(Y) )
& ( p17(Y)
| p18(Y) )
& ( p18(Y)
| p19(Y) )
& ( p19(Y)
| p20(Y) )
& ( p2(Y)
| p3(Y) )
& ( p20(Y)
| p21(Y) )
& ( p21(Y)
| p22(Y) )
& ( p22(Y)
| p23(Y) )
& ( p23(Y)
| p24(Y) )
& ( p24(Y)
| p25(Y) )
& ( p25(Y)
| p26(Y) )
& ( p26(Y)
| p27(Y) )
& ( p27(Y)
| p28(Y) )
& ( p28(Y)
| p29(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_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| ( ? [Y] :
( ~ p30(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)
& ? [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)
& ? [X] : r1(Y,X)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p28(X)
| p29(X) )
& ( ~ p29(X)
| p28(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p27(Y)
| p28(Y) )
& ( ~ p28(Y)
| p27(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p26(X)
| p27(X) )
& ( ~ p27(X)
| p26(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p25(Y)
| p26(Y) )
& ( ~ p26(Y)
| p25(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p24(X)
| p25(X) )
& ( ~ p25(X)
| p24(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p23(Y)
| p24(Y) )
& ( ~ p24(Y)
| p23(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p22(X)
| p23(X) )
& ( ~ p23(X)
| p22(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p21(Y)
| p22(Y) )
& ( ~ p22(Y)
| p21(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p20(X)
| p21(X) )
& ( ~ p21(X)
| p20(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p19(Y)
| p20(Y) )
& ( ~ p20(Y)
| p19(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p18(X)
| p19(X) )
& ( ~ p19(X)
| p18(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p17(Y)
| p18(Y) )
& ( ~ p18(Y)
| p17(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p16(X)
| p17(X) )
& ( ~ p17(X)
| p16(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p15(Y)
| p16(Y) )
& ( ~ p16(Y)
| p15(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p14(X)
| p15(X) )
& ( ~ p15(X)
| p14(X) ) ) ) )
& ! [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) )
& ( ~ p14(Y)
| ~ p15(Y) )
& ( ~ p15(Y)
| ~ p16(Y) )
& ( ~ p16(Y)
| ~ p17(Y) )
& ( ~ p17(Y)
| ~ p18(Y) )
& ( ~ p18(Y)
| ~ p19(Y) )
& ( ~ p19(Y)
| ~ p20(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p20(Y)
| ~ p21(Y) )
& ( ~ p21(Y)
| ~ p22(Y) )
& ( ~ p22(Y)
| ~ p23(Y) )
& ( ~ p23(Y)
| ~ p24(Y) )
& ( ~ p24(Y)
| ~ p25(Y) )
& ( ~ p25(Y)
| ~ p26(Y) )
& ( ~ p26(Y)
| ~ p27(Y) )
& ( ~ p27(Y)
| ~ p28(Y) )
& ( ~ p28(Y)
| ~ p29(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) )
& ( p14(Y)
| p15(Y) )
& ( p15(Y)
| p16(Y) )
& ( p16(Y)
| p17(Y) )
& ( p17(Y)
| p18(Y) )
& ( p18(Y)
| p19(Y) )
& ( p19(Y)
| p20(Y) )
& ( p2(Y)
| p3(Y) )
& ( p20(Y)
| p21(Y) )
& ( p21(Y)
| p22(Y) )
& ( p22(Y)
| p23(Y) )
& ( p23(Y)
| p24(Y) )
& ( p24(Y)
| p25(Y) )
& ( p25(Y)
| p26(Y) )
& ( p26(Y)
| p27(Y) )
& ( p27(Y)
| p28(Y) )
& ( p28(Y)
| p29(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_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| ( ? [Y] :
( ~ p30(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)
& ? [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)
& ? [X] : r1(Y,X)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p28(X)
| p29(X) )
& ( ~ p29(X)
| p28(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p27(Y)
| p28(Y) )
& ( ~ p28(Y)
| p27(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p26(X)
| p27(X) )
& ( ~ p27(X)
| p26(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p25(Y)
| p26(Y) )
& ( ~ p26(Y)
| p25(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p24(X)
| p25(X) )
& ( ~ p25(X)
| p24(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p23(Y)
| p24(Y) )
& ( ~ p24(Y)
| p23(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p22(X)
| p23(X) )
& ( ~ p23(X)
| p22(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p21(Y)
| p22(Y) )
& ( ~ p22(Y)
| p21(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p20(X)
| p21(X) )
& ( ~ p21(X)
| p20(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p19(Y)
| p20(Y) )
& ( ~ p20(Y)
| p19(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p18(X)
| p19(X) )
& ( ~ p19(X)
| p18(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p17(Y)
| p18(Y) )
& ( ~ p18(Y)
| p17(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p16(X)
| p17(X) )
& ( ~ p17(X)
| p16(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p15(Y)
| p16(Y) )
& ( ~ p16(Y)
| p15(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p14(X)
| p15(X) )
& ( ~ p15(X)
| p14(X) ) ) ) )
& ! [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) )
& ( ~ p14(Y)
| ~ p15(Y) )
& ( ~ p15(Y)
| ~ p16(Y) )
& ( ~ p16(Y)
| ~ p17(Y) )
& ( ~ p17(Y)
| ~ p18(Y) )
& ( ~ p18(Y)
| ~ p19(Y) )
& ( ~ p19(Y)
| ~ p20(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( ~ p20(Y)
| ~ p21(Y) )
& ( ~ p21(Y)
| ~ p22(Y) )
& ( ~ p22(Y)
| ~ p23(Y) )
& ( ~ p23(Y)
| ~ p24(Y) )
& ( ~ p24(Y)
| ~ p25(Y) )
& ( ~ p25(Y)
| ~ p26(Y) )
& ( ~ p26(Y)
| ~ p27(Y) )
& ( ~ p27(Y)
| ~ p28(Y) )
& ( ~ p28(Y)
| ~ p29(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) )
& ( p14(Y)
| p15(Y) )
& ( p15(Y)
| p16(Y) )
& ( p16(Y)
| p17(Y) )
& ( p17(Y)
| p18(Y) )
& ( p18(Y)
| p19(Y) )
& ( p19(Y)
| p20(Y) )
& ( p2(Y)
| p3(Y) )
& ( p20(Y)
| p21(Y) )
& ( p21(Y)
| p22(Y) )
& ( p22(Y)
| p23(Y) )
& ( p23(Y)
| p24(Y) )
& ( p24(Y)
| p25(Y) )
& ( p25(Y)
| p26(Y) )
& ( p26(Y)
| p27(Y) )
& ( p27(Y)
| p28(Y) )
& ( p28(Y)
| p29(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_6]) ).
fof(normalize_0_8,plain,
! [X,X0,Y] :
( ( ~ p30(skolemFOFtoCNF_Y_16(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_16(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_2(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\'_10'(X),skolemFOFtoCNF_Y_12(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_11'(X),skolemFOFtoCNF_Y_13(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_12'(X),skolemFOFtoCNF_Y_14(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_X\'_6'(X),skolemFOFtoCNF_Y_8(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_7'(X),skolemFOFtoCNF_Y_9(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_8'(X),skolemFOFtoCNF_Y_10(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_9'(X),skolemFOFtoCNF_Y_11(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_10(X),'skolemFOFtoCNF_X\'_8'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_11(X),'skolemFOFtoCNF_X\'_9'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_12(X),'skolemFOFtoCNF_X\'_10'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_13(X),'skolemFOFtoCNF_X\'_11'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_14(X),'skolemFOFtoCNF_X\'_12'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_15(X),'skolemFOFtoCNF_X\'_13'(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)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_8(X),'skolemFOFtoCNF_X\'_6'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_9(X),'skolemFOFtoCNF_X\'_7'(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) )
& ( ~ p14(skolemFOFtoCNF_Y_1(X))
| ~ p15(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p15(skolemFOFtoCNF_Y_1(X))
| ~ p16(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p16(skolemFOFtoCNF_Y_1(X))
| ~ p17(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p17(skolemFOFtoCNF_Y_1(X))
| ~ p18(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p18(skolemFOFtoCNF_Y_1(X))
| ~ p19(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p19(skolemFOFtoCNF_Y_1(X))
| ~ p20(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ p3(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p20(skolemFOFtoCNF_Y_1(X))
| ~ p21(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p21(skolemFOFtoCNF_Y_1(X))
| ~ p22(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p22(skolemFOFtoCNF_Y_1(X))
| ~ p23(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p23(skolemFOFtoCNF_Y_1(X))
| ~ p24(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p24(skolemFOFtoCNF_Y_1(X))
| ~ p25(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p25(skolemFOFtoCNF_Y_1(X))
| ~ p26(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p26(skolemFOFtoCNF_Y_1(X))
| ~ p27(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p27(skolemFOFtoCNF_Y_1(X))
| ~ p28(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p28(skolemFOFtoCNF_Y_1(X))
| ~ p29(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)
| p14(skolemFOFtoCNF_Y_1(X))
| p15(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p15(skolemFOFtoCNF_Y_1(X))
| p16(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p16(skolemFOFtoCNF_Y_1(X))
| p17(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p17(skolemFOFtoCNF_Y_1(X))
| p18(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p18(skolemFOFtoCNF_Y_1(X))
| p19(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p19(skolemFOFtoCNF_Y_1(X))
| p20(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p2(skolemFOFtoCNF_Y_1(X))
| p3(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p20(skolemFOFtoCNF_Y_1(X))
| p21(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p21(skolemFOFtoCNF_Y_1(X))
| p22(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p22(skolemFOFtoCNF_Y_1(X))
| p23(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p23(skolemFOFtoCNF_Y_1(X))
| p24(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p24(skolemFOFtoCNF_Y_1(X))
| p25(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p25(skolemFOFtoCNF_Y_1(X))
| p26(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p26(skolemFOFtoCNF_Y_1(X))
| p27(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p27(skolemFOFtoCNF_Y_1(X))
| p28(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p28(skolemFOFtoCNF_Y_1(X))
| p29(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(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_8(X),X0)
| p15(X0) )
& ( ~ p14(Y)
| ~ r1('skolemFOFtoCNF_X\'_5'(X),skolemFOFtoCNF_Y_7(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p13(Y) )
& ( ~ p15(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_8(X),X0)
| p14(X0) )
& ( ~ p15(Y)
| ~ r1('skolemFOFtoCNF_X\'_6'(X),skolemFOFtoCNF_Y_8(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p16(Y) )
& ( ~ p16(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_9(X),X0)
| p17(X0) )
& ( ~ p16(Y)
| ~ r1('skolemFOFtoCNF_X\'_6'(X),skolemFOFtoCNF_Y_8(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p15(Y) )
& ( ~ p17(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_9(X),X0)
| p16(X0) )
& ( ~ p17(Y)
| ~ r1('skolemFOFtoCNF_X\'_7'(X),skolemFOFtoCNF_Y_9(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p18(Y) )
& ( ~ p18(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_10(X),X0)
| p19(X0) )
& ( ~ p18(Y)
| ~ r1('skolemFOFtoCNF_X\'_7'(X),skolemFOFtoCNF_Y_9(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p17(Y) )
& ( ~ p19(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_10(X),X0)
| p18(X0) )
& ( ~ p19(Y)
| ~ r1('skolemFOFtoCNF_X\'_8'(X),skolemFOFtoCNF_Y_10(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p20(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) )
& ( ~ p20(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_11(X),X0)
| p21(X0) )
& ( ~ p20(Y)
| ~ r1('skolemFOFtoCNF_X\'_8'(X),skolemFOFtoCNF_Y_10(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p19(Y) )
& ( ~ p21(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_11(X),X0)
| p20(X0) )
& ( ~ p21(Y)
| ~ r1('skolemFOFtoCNF_X\'_9'(X),skolemFOFtoCNF_Y_11(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p22(Y) )
& ( ~ p22(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_12(X),X0)
| p23(X0) )
& ( ~ p22(Y)
| ~ r1('skolemFOFtoCNF_X\'_9'(X),skolemFOFtoCNF_Y_11(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p21(Y) )
& ( ~ p23(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_12(X),X0)
| p22(X0) )
& ( ~ p23(Y)
| ~ r1('skolemFOFtoCNF_X\'_10'(X),skolemFOFtoCNF_Y_12(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p24(Y) )
& ( ~ p24(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_13(X),X0)
| p25(X0) )
& ( ~ p24(Y)
| ~ r1('skolemFOFtoCNF_X\'_10'(X),skolemFOFtoCNF_Y_12(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p23(Y) )
& ( ~ p25(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_13(X),X0)
| p24(X0) )
& ( ~ p25(Y)
| ~ r1('skolemFOFtoCNF_X\'_11'(X),skolemFOFtoCNF_Y_13(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p26(Y) )
& ( ~ p26(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_14(X),X0)
| p27(X0) )
& ( ~ p26(Y)
| ~ r1('skolemFOFtoCNF_X\'_11'(X),skolemFOFtoCNF_Y_13(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p25(Y) )
& ( ~ p27(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_14(X),X0)
| p26(X0) )
& ( ~ p27(Y)
| ~ r1('skolemFOFtoCNF_X\'_12'(X),skolemFOFtoCNF_Y_14(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p28(Y) )
& ( ~ p28(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_15(X),X0)
| p29(X0) )
& ( ~ p28(Y)
| ~ r1('skolemFOFtoCNF_X\'_12'(X),skolemFOFtoCNF_Y_14(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p27(Y) )
& ( ~ p29(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_15(X),X0)
| p28(X0) )
& ( ~ 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_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ p3(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p3(skolemFOFtoCNF_Y_1(X))
| p4(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ p4(skolemFOFtoCNF_Y_1(X))
| ~ p5(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p5(skolemFOFtoCNF_Y_1(X))
| p6(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ p6(skolemFOFtoCNF_Y_1(X))
| ~ p7(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p10(skolemFOFtoCNF_Y_1(X))
| p9(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ p8(skolemFOFtoCNF_Y_1(X))
| ~ p9(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p7(skolemFOFtoCNF_Y_1(X))
| p8(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_20,plain,
! [X] :
( ~ p10(skolemFOFtoCNF_Y_1(X))
| ~ p11(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p11(skolemFOFtoCNF_Y_1(X))
| p12(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ p12(skolemFOFtoCNF_Y_1(X))
| ~ p13(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_23,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p13(skolemFOFtoCNF_Y_1(X))
| p14(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ p14(skolemFOFtoCNF_Y_1(X))
| ~ p15(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_25,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p15(skolemFOFtoCNF_Y_1(X))
| p16(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_26,plain,
! [X] :
( ~ p16(skolemFOFtoCNF_Y_1(X))
| ~ p17(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_27,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p17(skolemFOFtoCNF_Y_1(X))
| p18(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_28,plain,
! [X] :
( ~ p18(skolemFOFtoCNF_Y_1(X))
| ~ p19(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_29,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p19(skolemFOFtoCNF_Y_1(X))
| p20(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_30,plain,
! [X] :
( ~ p20(skolemFOFtoCNF_Y_1(X))
| ~ p21(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_31,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p21(skolemFOFtoCNF_Y_1(X))
| p22(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_32,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_9'(X),skolemFOFtoCNF_Y_11(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_33,plain,
! [X,Y,Z] :
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(canonicalize,[],[transitivity]) ).
fof(normalize_0_34,plain,
! [X,Y,Z] :
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_2(X),'skolemFOFtoCNF_X\''(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_36,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_37,plain,
! [X,Y] :
( ~ p22(Y)
| ~ r1('skolemFOFtoCNF_X\'_9'(X),skolemFOFtoCNF_Y_11(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p21(Y) ),
inference(conjunct,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
r1(X,X),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_2,plain,
( ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ p3(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_3,plain,
( ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p3(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_4,plain,
( ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p3(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p3(skolemFOFtoCNF_Y_1(X))
| p4(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_6,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p3(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p4(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_7,plain,
( p3(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p4(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ p4(skolemFOFtoCNF_Y_1(X))
| ~ p5(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_9,plain,
( ~ p4(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p5(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_10,plain,
( ~ p4(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p5(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p5(skolemFOFtoCNF_Y_1(X))
| p6(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_12,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p5(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p6(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_13,plain,
( p5(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p6(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ p6(skolemFOFtoCNF_Y_1(X))
| ~ p7(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_15,plain,
( ~ p6(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p7(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_16,plain,
( ~ p6(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p7(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p10(skolemFOFtoCNF_Y_1(X))
| p9(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_18,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p9(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_19,plain,
( p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p9(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ p8(skolemFOFtoCNF_Y_1(X))
| ~ p9(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_21,plain,
( ~ p8(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p9(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_22,plain,
( ~ p8(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p9(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ p8(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( p9(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p7(skolemFOFtoCNF_Y_1(X))
| p8(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_25,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p7(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p8(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_26,plain,
( p7(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p8(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_25]) ).
cnf(refute_0_27,plain,
( p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p7(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( p8(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_26,refute_0_23]) ).
cnf(refute_0_28,plain,
( ~ p6(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( p7(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_27,refute_0_16]) ).
cnf(refute_0_29,plain,
( p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p5(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( p6(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_13,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ p4(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( p5(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_29,refute_0_10]) ).
cnf(refute_0_31,plain,
( p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p3(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( p4(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_7,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( p3(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_31,refute_0_4]) ).
cnf(refute_0_33,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_34,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_33:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_35,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_37,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_38,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_35,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_41,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_42,plain,
( p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_41]) ).
cnf(refute_0_43,plain,
( p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_42,refute_0_32]) ).
cnf(refute_0_44,plain,
( ~ p10(skolemFOFtoCNF_Y_1(X))
| ~ p11(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_45,plain,
( ~ p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p11(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_46,plain,
( ~ p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p11(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p11(skolemFOFtoCNF_Y_1(X))
| p12(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_48,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p11(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p12(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_49,plain,
( p11(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p12(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ p12(skolemFOFtoCNF_Y_1(X))
| ~ p13(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_51,plain,
( ~ p12(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p13(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_52,plain,
( ~ p12(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p13(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p13(skolemFOFtoCNF_Y_1(X))
| p14(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_54,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p13(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p14(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_53:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_55,plain,
( p13(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p14(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ p14(skolemFOFtoCNF_Y_1(X))
| ~ p15(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_57,plain,
( ~ p14(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p15(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_58,plain,
( ~ p14(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p15(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p15(skolemFOFtoCNF_Y_1(X))
| p16(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_60,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p15(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p16(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_59:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_61,plain,
( p15(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p16(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ p16(skolemFOFtoCNF_Y_1(X))
| ~ p17(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_63,plain,
( ~ p16(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p17(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_64,plain,
( ~ p16(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p17(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p17(skolemFOFtoCNF_Y_1(X))
| p18(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_66,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p17(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p18(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_67,plain,
( p17(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p18(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ p18(skolemFOFtoCNF_Y_1(X))
| ~ p19(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_69,plain,
( ~ p18(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p19(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_68:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_70,plain,
( ~ p18(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p19(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p19(skolemFOFtoCNF_Y_1(X))
| p20(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_72,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p19(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p20(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_73,plain,
( p19(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p20(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ p20(skolemFOFtoCNF_Y_1(X))
| ~ p21(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_75,plain,
( ~ p20(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p21(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_74:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_76,plain,
( ~ p20(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ p21(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p21(skolemFOFtoCNF_Y_1(X))
| p22(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_78,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p21(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p22(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_77:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_79,plain,
( p21(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p22(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_78]) ).
cnf(refute_0_80,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_9'(X),skolemFOFtoCNF_Y_11(X)) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_81,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))
| r1('skolemFOFtoCNF_X\'_9'('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),skolemFOFtoCNF_Y_11('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))) ),
inference(subst,[],[refute_0_80:[bind(X,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))))]]) ).
cnf(refute_0_82,plain,
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_83,plain,
( ~ r1(X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))
| r1(X,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_82:[bind(Y,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),bind(Z,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))))]]) ).
cnf(refute_0_84,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_2(X),'skolemFOFtoCNF_X\''(X)) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_85,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_84:[bind(X,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_86,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_87,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_88,plain,
r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_35,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ r1(X_94,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| r1(X_94,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_82:[bind(X,$fot(X_94)),bind(Y,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),bind(Z,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_90,plain,
( ~ r1(X_94,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| r1(X_94,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_90:[bind(X_94,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_92,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_35,refute_0_91]) ).
cnf(refute_0_93,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_84:[bind(X,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_94,plain,
r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_35,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ r1(X_94,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| r1(X_94,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_82:[bind(X,$fot(X_94)),bind(Y,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),bind(Z,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_96,plain,
( ~ r1(X_94,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| r1(X_94,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_96:[bind(X_94,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_98,plain,
r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_92,refute_0_97]) ).
cnf(refute_0_99,plain,
r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_98,refute_0_85]) ).
cnf(refute_0_100,plain,
( ~ r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))
| ~ r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),Z)
| r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),Z) ),
inference(subst,[],[refute_0_82:[bind(X,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),bind(Y,$fot(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))))]]) ).
cnf(refute_0_101,plain,
( ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_86:[bind(X,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_102,plain,
r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
( ~ r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),X_96)
| ~ r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),X_96) ),
inference(subst,[],[refute_0_82:[bind(X,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),bind(Y,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),bind(Z,$fot(X_96))]]) ).
cnf(refute_0_104,plain,
( ~ r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),X_96)
| r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),X_96) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_94,refute_0_103]) ).
cnf(refute_0_105,plain,
( ~ r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))
| r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_104:[bind(X_96,$fot(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))))]]) ).
cnf(refute_0_106,plain,
r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
( ~ r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),X_96)
| r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),X_96) ),
inference(subst,[],[refute_0_82:[bind(X,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),bind(Y,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),bind(Z,$fot(X_96))]]) ).
cnf(refute_0_108,plain,
( ~ r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),X_96)
| r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),X_96) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_88,refute_0_107]) ).
cnf(refute_0_109,plain,
( ~ r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))
| r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_108:[bind(X_96,$fot(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))))]]) ).
cnf(refute_0_110,plain,
r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
( ~ r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),Z)
| r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),Z) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) )],[refute_0_110,refute_0_100]) ).
cnf(refute_0_112,plain,
( ~ r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))
| r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_111:[bind(Z,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))))]]) ).
cnf(refute_0_113,plain,
r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_2('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) )],[refute_0_99,refute_0_112]) ).
cnf(refute_0_114,plain,
( ~ r1(X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| r1(X,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) )],[refute_0_113,refute_0_83]) ).
cnf(refute_0_115,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) ),
inference(subst,[],[refute_0_114:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_116,plain,
r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_35,refute_0_115]) ).
cnf(refute_0_117,plain,
r1('skolemFOFtoCNF_X\'_9'('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),skolemFOFtoCNF_Y_11('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) )],[refute_0_116,refute_0_81]) ).
cnf(refute_0_118,plain,
( ~ p22(Y)
| ~ r1('skolemFOFtoCNF_X\'_9'(X),skolemFOFtoCNF_Y_11(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p21(Y) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_119,plain,
( ~ p22(X_535)
| ~ r1('skolemFOFtoCNF_X\'_9'('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),skolemFOFtoCNF_Y_11('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))))
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))
| p21(X_535) ),
inference(subst,[],[refute_0_118:[bind(X,$fot('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))),bind(Y,$fot(X_535))]]) ).
cnf(refute_0_120,plain,
( ~ p22(X_535)
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))
| p21(X_535) ),
inference(resolve,[$cnf( r1('skolemFOFtoCNF_X\'_9'('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))),skolemFOFtoCNF_Y_11('skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))) )],[refute_0_117,refute_0_119]) ).
cnf(refute_0_121,plain,
( ~ p22(X_535)
| p21(X_535) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))) )],[refute_0_116,refute_0_120]) ).
cnf(refute_0_122,plain,
( ~ p22(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p21(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_121:[bind(X_535,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_123,plain,
p21(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p22(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_79,refute_0_122]) ).
cnf(refute_0_124,plain,
~ p20(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p21(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_123,refute_0_76]) ).
cnf(refute_0_125,plain,
p19(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p20(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_73,refute_0_124]) ).
cnf(refute_0_126,plain,
~ p18(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p19(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_125,refute_0_70]) ).
cnf(refute_0_127,plain,
p17(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p18(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_67,refute_0_126]) ).
cnf(refute_0_128,plain,
~ p16(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p17(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_127,refute_0_64]) ).
cnf(refute_0_129,plain,
p15(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p16(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_61,refute_0_128]) ).
cnf(refute_0_130,plain,
~ p14(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p15(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_129,refute_0_58]) ).
cnf(refute_0_131,plain,
p13(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p14(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_55,refute_0_130]) ).
cnf(refute_0_132,plain,
~ p12(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p13(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_131,refute_0_52]) ).
cnf(refute_0_133,plain,
p11(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p12(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_49,refute_0_132]) ).
cnf(refute_0_134,plain,
~ p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p11(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_133,refute_0_46]) ).
cnf(refute_0_135,plain,
p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_43,refute_0_134]) ).
cnf(refute_0_136,plain,
p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_135,refute_0_39]) ).
cnf(refute_0_137,plain,
p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_136,refute_0_32]) ).
cnf(refute_0_138,plain,
$false,
inference(resolve,[$cnf( p10(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_137,refute_0_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : metis --show proof --show saturation %s
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 16:24:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.78/2.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.78/2.04
% 1.78/2.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.89/2.18
%------------------------------------------------------------------------------