%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL686+1.020 : 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 25.23s 25.55s
% Output : CNFRefutation 26.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 65 ( 15 unt; 0 def)
% Number of atoms : 6341 ( 0 equ)
% Maximal formula atoms : 934 ( 97 avg)
% Number of connectives : 10164 (3888 ~;3518 |;2753 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 300 ( 33 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 62 ( 61 usr; 1 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 2 con; 0-1 aty)
% Number of variables : 1134 ( 0 sgn 747 !; 369 ?)
% 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)
| ~ p60(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)
| ! [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)
| ~ ( ( p59(X)
& ~ p58(X) )
| ( ~ p59(X)
& p58(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p58(Y)
& ~ p57(Y) )
| ( ~ p58(Y)
& p57(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p57(X)
& ~ p56(X) )
| ( ~ p57(X)
& p56(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p56(Y)
& ~ p55(Y) )
| ( ~ p56(Y)
& p55(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p55(X)
& ~ p54(X) )
| ( ~ p55(X)
& p54(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p54(Y)
& ~ p53(Y) )
| ( ~ p54(Y)
& p53(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p53(X)
& ~ p52(X) )
| ( ~ p53(X)
& p52(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p52(Y)
& ~ p51(Y) )
| ( ~ p52(Y)
& p51(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p51(X)
& ~ p50(X) )
| ( ~ p51(X)
& p50(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p50(Y)
& ~ p49(Y) )
| ( ~ p50(Y)
& p49(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p49(X)
& ~ p48(X) )
| ( ~ p49(X)
& p48(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p48(Y)
& ~ p47(Y) )
| ( ~ p48(Y)
& p47(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p47(X)
& ~ p46(X) )
| ( ~ p47(X)
& p46(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p46(Y)
& ~ p45(Y) )
| ( ~ p46(Y)
& p45(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p45(X)
& ~ p44(X) )
| ( ~ p45(X)
& p44(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p44(Y)
& ~ p43(Y) )
| ( ~ p44(Y)
& p43(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p43(X)
& ~ p42(X) )
| ( ~ p43(X)
& p42(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p42(Y)
& ~ p41(Y) )
| ( ~ p42(Y)
& p41(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p41(X)
& ~ p40(X) )
| ( ~ p41(X)
& p40(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p40(Y)
& ~ p39(Y) )
| ( ~ p40(Y)
& p39(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p39(X)
& ~ p38(X) )
| ( ~ p39(X)
& p38(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p38(Y)
& ~ p37(Y) )
| ( ~ p38(Y)
& p37(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p37(X)
& ~ p36(X) )
| ( ~ p37(X)
& p36(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p36(Y)
& ~ p35(Y) )
| ( ~ p36(Y)
& p35(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p35(X)
& ~ p34(X) )
| ( ~ p35(X)
& p34(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p34(Y)
& ~ p33(Y) )
| ( ~ p34(Y)
& p33(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p33(X)
& ~ p32(X) )
| ( ~ p33(X)
& p32(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p32(Y)
& ~ p31(Y) )
| ( ~ p32(Y)
& p31(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p31(X)
& ~ p30(X) )
| ( ~ p31(X)
& p30(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p30(Y)
& ~ p29(Y) )
| ( ~ p30(Y)
& p29(Y) ) ) ) )
| ~ ! [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)
| p60(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p58(Y)
& ~ p59(Y) )
| ( p59(Y)
& p58(Y) )
| ( ~ p57(Y)
& ~ p58(Y) )
| ( p58(Y)
& p57(Y) )
| ( ~ p56(Y)
& ~ p57(Y) )
| ( p57(Y)
& p56(Y) )
| ( ~ p55(Y)
& ~ p56(Y) )
| ( p56(Y)
& p55(Y) )
| ( ~ p54(Y)
& ~ p55(Y) )
| ( p55(Y)
& p54(Y) )
| ( ~ p53(Y)
& ~ p54(Y) )
| ( p54(Y)
& p53(Y) )
| ( ~ p52(Y)
& ~ p53(Y) )
| ( p53(Y)
& p52(Y) )
| ( ~ p51(Y)
& ~ p52(Y) )
| ( p52(Y)
& p51(Y) )
| ( ~ p50(Y)
& ~ p51(Y) )
| ( p51(Y)
& p50(Y) )
| ( ~ p49(Y)
& ~ p50(Y) )
| ( p50(Y)
& p49(Y) )
| ( ~ p48(Y)
& ~ p49(Y) )
| ( p49(Y)
& p48(Y) )
| ( ~ p47(Y)
& ~ p48(Y) )
| ( p48(Y)
& p47(Y) )
| ( ~ p46(Y)
& ~ p47(Y) )
| ( p47(Y)
& p46(Y) )
| ( ~ p45(Y)
& ~ p46(Y) )
| ( p46(Y)
& p45(Y) )
| ( ~ p44(Y)
& ~ p45(Y) )
| ( p45(Y)
& p44(Y) )
| ( ~ p43(Y)
& ~ p44(Y) )
| ( p44(Y)
& p43(Y) )
| ( ~ p42(Y)
& ~ p43(Y) )
| ( p43(Y)
& p42(Y) )
| ( ~ p41(Y)
& ~ p42(Y) )
| ( p42(Y)
& p41(Y) )
| ( ~ p40(Y)
& ~ p41(Y) )
| ( p41(Y)
& p40(Y) )
| ( ~ p39(Y)
& ~ p40(Y) )
| ( p40(Y)
& p39(Y) )
| ( ~ p38(Y)
& ~ p39(Y) )
| ( p39(Y)
& p38(Y) )
| ( ~ p37(Y)
& ~ p38(Y) )
| ( p38(Y)
& p37(Y) )
| ( ~ p36(Y)
& ~ p37(Y) )
| ( p37(Y)
& p36(Y) )
| ( ~ p35(Y)
& ~ p36(Y) )
| ( p36(Y)
& p35(Y) )
| ( ~ p34(Y)
& ~ p35(Y) )
| ( p35(Y)
& p34(Y) )
| ( ~ p33(Y)
& ~ p34(Y) )
| ( p34(Y)
& p33(Y) )
| ( ~ p32(Y)
& ~ p33(Y) )
| ( p33(Y)
& p32(Y) )
| ( ~ p31(Y)
& ~ p32(Y) )
| ( p32(Y)
& p31(Y) )
| ( ~ p30(Y)
& ~ p31(Y) )
| ( p31(Y)
& p30(Y) )
| ( ~ p29(Y)
& ~ p30(Y) )
| ( p30(Y)
& p29(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)
| ~ p60(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)
| ! [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)
| ~ ( ( p59(X)
& ~ p58(X) )
| ( ~ p59(X)
& p58(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p58(Y)
& ~ p57(Y) )
| ( ~ p58(Y)
& p57(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p57(X)
& ~ p56(X) )
| ( ~ p57(X)
& p56(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p56(Y)
& ~ p55(Y) )
| ( ~ p56(Y)
& p55(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p55(X)
& ~ p54(X) )
| ( ~ p55(X)
& p54(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p54(Y)
& ~ p53(Y) )
| ( ~ p54(Y)
& p53(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p53(X)
& ~ p52(X) )
| ( ~ p53(X)
& p52(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p52(Y)
& ~ p51(Y) )
| ( ~ p52(Y)
& p51(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p51(X)
& ~ p50(X) )
| ( ~ p51(X)
& p50(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p50(Y)
& ~ p49(Y) )
| ( ~ p50(Y)
& p49(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p49(X)
& ~ p48(X) )
| ( ~ p49(X)
& p48(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p48(Y)
& ~ p47(Y) )
| ( ~ p48(Y)
& p47(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p47(X)
& ~ p46(X) )
| ( ~ p47(X)
& p46(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p46(Y)
& ~ p45(Y) )
| ( ~ p46(Y)
& p45(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p45(X)
& ~ p44(X) )
| ( ~ p45(X)
& p44(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p44(Y)
& ~ p43(Y) )
| ( ~ p44(Y)
& p43(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p43(X)
& ~ p42(X) )
| ( ~ p43(X)
& p42(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p42(Y)
& ~ p41(Y) )
| ( ~ p42(Y)
& p41(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p41(X)
& ~ p40(X) )
| ( ~ p41(X)
& p40(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p40(Y)
& ~ p39(Y) )
| ( ~ p40(Y)
& p39(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p39(X)
& ~ p38(X) )
| ( ~ p39(X)
& p38(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p38(Y)
& ~ p37(Y) )
| ( ~ p38(Y)
& p37(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p37(X)
& ~ p36(X) )
| ( ~ p37(X)
& p36(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p36(Y)
& ~ p35(Y) )
| ( ~ p36(Y)
& p35(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p35(X)
& ~ p34(X) )
| ( ~ p35(X)
& p34(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p34(Y)
& ~ p33(Y) )
| ( ~ p34(Y)
& p33(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p33(X)
& ~ p32(X) )
| ( ~ p33(X)
& p32(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p32(Y)
& ~ p31(Y) )
| ( ~ p32(Y)
& p31(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p31(X)
& ~ p30(X) )
| ( ~ p31(X)
& p30(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p30(Y)
& ~ p29(Y) )
| ( ~ p30(Y)
& p29(Y) ) ) ) )
| ~ ! [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)
| p60(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p58(Y)
& ~ p59(Y) )
| ( p59(Y)
& p58(Y) )
| ( ~ p57(Y)
& ~ p58(Y) )
| ( p58(Y)
& p57(Y) )
| ( ~ p56(Y)
& ~ p57(Y) )
| ( p57(Y)
& p56(Y) )
| ( ~ p55(Y)
& ~ p56(Y) )
| ( p56(Y)
& p55(Y) )
| ( ~ p54(Y)
& ~ p55(Y) )
| ( p55(Y)
& p54(Y) )
| ( ~ p53(Y)
& ~ p54(Y) )
| ( p54(Y)
& p53(Y) )
| ( ~ p52(Y)
& ~ p53(Y) )
| ( p53(Y)
& p52(Y) )
| ( ~ p51(Y)
& ~ p52(Y) )
| ( p52(Y)
& p51(Y) )
| ( ~ p50(Y)
& ~ p51(Y) )
| ( p51(Y)
& p50(Y) )
| ( ~ p49(Y)
& ~ p50(Y) )
| ( p50(Y)
& p49(Y) )
| ( ~ p48(Y)
& ~ p49(Y) )
| ( p49(Y)
& p48(Y) )
| ( ~ p47(Y)
& ~ p48(Y) )
| ( p48(Y)
& p47(Y) )
| ( ~ p46(Y)
& ~ p47(Y) )
| ( p47(Y)
& p46(Y) )
| ( ~ p45(Y)
& ~ p46(Y) )
| ( p46(Y)
& p45(Y) )
| ( ~ p44(Y)
& ~ p45(Y) )
| ( p45(Y)
& p44(Y) )
| ( ~ p43(Y)
& ~ p44(Y) )
| ( p44(Y)
& p43(Y) )
| ( ~ p42(Y)
& ~ p43(Y) )
| ( p43(Y)
& p42(Y) )
| ( ~ p41(Y)
& ~ p42(Y) )
| ( p42(Y)
& p41(Y) )
| ( ~ p40(Y)
& ~ p41(Y) )
| ( p41(Y)
& p40(Y) )
| ( ~ p39(Y)
& ~ p40(Y) )
| ( p40(Y)
& p39(Y) )
| ( ~ p38(Y)
& ~ p39(Y) )
| ( p39(Y)
& p38(Y) )
| ( ~ p37(Y)
& ~ p38(Y) )
| ( p38(Y)
& p37(Y) )
| ( ~ p36(Y)
& ~ p37(Y) )
| ( p37(Y)
& p36(Y) )
| ( ~ p35(Y)
& ~ p36(Y) )
| ( p36(Y)
& p35(Y) )
| ( ~ p34(Y)
& ~ p35(Y) )
| ( p35(Y)
& p34(Y) )
| ( ~ p33(Y)
& ~ p34(Y) )
| ( p34(Y)
& p33(Y) )
| ( ~ p32(Y)
& ~ p33(Y) )
| ( p33(Y)
& p32(Y) )
| ( ~ p31(Y)
& ~ p32(Y) )
| ( p32(Y)
& p31(Y) )
| ( ~ p30(Y)
& ~ p31(Y) )
| ( p31(Y)
& p30(Y) )
| ( ~ p29(Y)
& ~ p30(Y) )
| ( p30(Y)
& p29(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)
| ~ p60(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)
| ! [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)
| ~ ( ( p59(X)
& ~ p58(X) )
| ( ~ p59(X)
& p58(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p58(Y)
& ~ p57(Y) )
| ( ~ p58(Y)
& p57(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p57(X)
& ~ p56(X) )
| ( ~ p57(X)
& p56(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p56(Y)
& ~ p55(Y) )
| ( ~ p56(Y)
& p55(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p55(X)
& ~ p54(X) )
| ( ~ p55(X)
& p54(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p54(Y)
& ~ p53(Y) )
| ( ~ p54(Y)
& p53(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p53(X)
& ~ p52(X) )
| ( ~ p53(X)
& p52(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p52(Y)
& ~ p51(Y) )
| ( ~ p52(Y)
& p51(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p51(X)
& ~ p50(X) )
| ( ~ p51(X)
& p50(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p50(Y)
& ~ p49(Y) )
| ( ~ p50(Y)
& p49(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p49(X)
& ~ p48(X) )
| ( ~ p49(X)
& p48(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p48(Y)
& ~ p47(Y) )
| ( ~ p48(Y)
& p47(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p47(X)
& ~ p46(X) )
| ( ~ p47(X)
& p46(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p46(Y)
& ~ p45(Y) )
| ( ~ p46(Y)
& p45(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p45(X)
& ~ p44(X) )
| ( ~ p45(X)
& p44(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p44(Y)
& ~ p43(Y) )
| ( ~ p44(Y)
& p43(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p43(X)
& ~ p42(X) )
| ( ~ p43(X)
& p42(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p42(Y)
& ~ p41(Y) )
| ( ~ p42(Y)
& p41(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p41(X)
& ~ p40(X) )
| ( ~ p41(X)
& p40(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p40(Y)
& ~ p39(Y) )
| ( ~ p40(Y)
& p39(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p39(X)
& ~ p38(X) )
| ( ~ p39(X)
& p38(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p38(Y)
& ~ p37(Y) )
| ( ~ p38(Y)
& p37(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p37(X)
& ~ p36(X) )
| ( ~ p37(X)
& p36(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p36(Y)
& ~ p35(Y) )
| ( ~ p36(Y)
& p35(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p35(X)
& ~ p34(X) )
| ( ~ p35(X)
& p34(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p34(Y)
& ~ p33(Y) )
| ( ~ p34(Y)
& p33(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p33(X)
& ~ p32(X) )
| ( ~ p33(X)
& p32(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p32(Y)
& ~ p31(Y) )
| ( ~ p32(Y)
& p31(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p31(X)
& ~ p30(X) )
| ( ~ p31(X)
& p30(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p30(Y)
& ~ p29(Y) )
| ( ~ p30(Y)
& p29(Y) ) ) ) )
| ~ ! [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)
| p60(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p58(Y)
& ~ p59(Y) )
| ( p59(Y)
& p58(Y) )
| ( ~ p57(Y)
& ~ p58(Y) )
| ( p58(Y)
& p57(Y) )
| ( ~ p56(Y)
& ~ p57(Y) )
| ( p57(Y)
& p56(Y) )
| ( ~ p55(Y)
& ~ p56(Y) )
| ( p56(Y)
& p55(Y) )
| ( ~ p54(Y)
& ~ p55(Y) )
| ( p55(Y)
& p54(Y) )
| ( ~ p53(Y)
& ~ p54(Y) )
| ( p54(Y)
& p53(Y) )
| ( ~ p52(Y)
& ~ p53(Y) )
| ( p53(Y)
& p52(Y) )
| ( ~ p51(Y)
& ~ p52(Y) )
| ( p52(Y)
& p51(Y) )
| ( ~ p50(Y)
& ~ p51(Y) )
| ( p51(Y)
& p50(Y) )
| ( ~ p49(Y)
& ~ p50(Y) )
| ( p50(Y)
& p49(Y) )
| ( ~ p48(Y)
& ~ p49(Y) )
| ( p49(Y)
& p48(Y) )
| ( ~ p47(Y)
& ~ p48(Y) )
| ( p48(Y)
& p47(Y) )
| ( ~ p46(Y)
& ~ p47(Y) )
| ( p47(Y)
& p46(Y) )
| ( ~ p45(Y)
& ~ p46(Y) )
| ( p46(Y)
& p45(Y) )
| ( ~ p44(Y)
& ~ p45(Y) )
| ( p45(Y)
& p44(Y) )
| ( ~ p43(Y)
& ~ p44(Y) )
| ( p44(Y)
& p43(Y) )
| ( ~ p42(Y)
& ~ p43(Y) )
| ( p43(Y)
& p42(Y) )
| ( ~ p41(Y)
& ~ p42(Y) )
| ( p42(Y)
& p41(Y) )
| ( ~ p40(Y)
& ~ p41(Y) )
| ( p41(Y)
& p40(Y) )
| ( ~ p39(Y)
& ~ p40(Y) )
| ( p40(Y)
& p39(Y) )
| ( ~ p38(Y)
& ~ p39(Y) )
| ( p39(Y)
& p38(Y) )
| ( ~ p37(Y)
& ~ p38(Y) )
| ( p38(Y)
& p37(Y) )
| ( ~ p36(Y)
& ~ p37(Y) )
| ( p37(Y)
& p36(Y) )
| ( ~ p35(Y)
& ~ p36(Y) )
| ( p36(Y)
& p35(Y) )
| ( ~ p34(Y)
& ~ p35(Y) )
| ( p35(Y)
& p34(Y) )
| ( ~ p33(Y)
& ~ p34(Y) )
| ( p34(Y)
& p33(Y) )
| ( ~ p32(Y)
& ~ p33(Y) )
| ( p33(Y)
& p32(Y) )
| ( ~ p31(Y)
& ~ p32(Y) )
| ( p32(Y)
& p31(Y) )
| ( ~ p30(Y)
& ~ p31(Y) )
| ( p31(Y)
& p30(Y) )
| ( ~ p29(Y)
& ~ p30(Y) )
| ( p30(Y)
& p29(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] :
( ~ p60(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)
& ? [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)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p58(X)
| p59(X) )
& ( ~ p59(X)
| p58(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p57(Y)
| p58(Y) )
& ( ~ p58(Y)
| p57(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p56(X)
| p57(X) )
& ( ~ p57(X)
| p56(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p55(Y)
| p56(Y) )
& ( ~ p56(Y)
| p55(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p54(X)
| p55(X) )
& ( ~ p55(X)
| p54(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p53(Y)
| p54(Y) )
& ( ~ p54(Y)
| p53(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p52(X)
| p53(X) )
& ( ~ p53(X)
| p52(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p51(Y)
| p52(Y) )
& ( ~ p52(Y)
| p51(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p50(X)
| p51(X) )
& ( ~ p51(X)
| p50(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p49(Y)
| p50(Y) )
& ( ~ p50(Y)
| p49(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p48(X)
| p49(X) )
& ( ~ p49(X)
| p48(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p47(Y)
| p48(Y) )
& ( ~ p48(Y)
| p47(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p46(X)
| p47(X) )
& ( ~ p47(X)
| p46(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p45(Y)
| p46(Y) )
& ( ~ p46(Y)
| p45(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p44(X)
| p45(X) )
& ( ~ p45(X)
| p44(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p43(Y)
| p44(Y) )
& ( ~ p44(Y)
| p43(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p42(X)
| p43(X) )
& ( ~ p43(X)
| p42(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p41(Y)
| p42(Y) )
& ( ~ p42(Y)
| p41(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p40(X)
| p41(X) )
& ( ~ p41(X)
| p40(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p39(Y)
| p40(Y) )
& ( ~ p40(Y)
| p39(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p38(X)
| p39(X) )
& ( ~ p39(X)
| p38(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p37(Y)
| p38(Y) )
& ( ~ p38(Y)
| p37(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p36(X)
| p37(X) )
& ( ~ p37(X)
| p36(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p35(Y)
| p36(Y) )
& ( ~ p36(Y)
| p35(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p34(X)
| p35(X) )
& ( ~ p35(X)
| p34(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p33(Y)
| p34(Y) )
& ( ~ p34(Y)
| p33(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p32(X)
| p33(X) )
& ( ~ p33(X)
| p32(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p31(Y)
| p32(Y) )
& ( ~ p32(Y)
| p31(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p30(X)
| p31(X) )
& ( ~ p31(X)
| p30(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p29(Y)
| p30(Y) )
& ( ~ p30(Y)
| p29(Y) ) ) ) )
& ! [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) )
& ( ~ p29(Y)
| ~ p30(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p30(Y)
| ~ p31(Y) )
& ( ~ p31(Y)
| ~ p32(Y) )
& ( ~ p32(Y)
| ~ p33(Y) )
& ( ~ p33(Y)
| ~ p34(Y) )
& ( ~ p34(Y)
| ~ p35(Y) )
& ( ~ p35(Y)
| ~ p36(Y) )
& ( ~ p36(Y)
| ~ p37(Y) )
& ( ~ p37(Y)
| ~ p38(Y) )
& ( ~ p38(Y)
| ~ p39(Y) )
& ( ~ p39(Y)
| ~ p40(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p40(Y)
| ~ p41(Y) )
& ( ~ p41(Y)
| ~ p42(Y) )
& ( ~ p42(Y)
| ~ p43(Y) )
& ( ~ p43(Y)
| ~ p44(Y) )
& ( ~ p44(Y)
| ~ p45(Y) )
& ( ~ p45(Y)
| ~ p46(Y) )
& ( ~ p46(Y)
| ~ p47(Y) )
& ( ~ p47(Y)
| ~ p48(Y) )
& ( ~ p48(Y)
| ~ p49(Y) )
& ( ~ p49(Y)
| ~ p50(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p50(Y)
| ~ p51(Y) )
& ( ~ p51(Y)
| ~ p52(Y) )
& ( ~ p52(Y)
| ~ p53(Y) )
& ( ~ p53(Y)
| ~ p54(Y) )
& ( ~ p54(Y)
| ~ p55(Y) )
& ( ~ p55(Y)
| ~ p56(Y) )
& ( ~ p56(Y)
| ~ p57(Y) )
& ( ~ p57(Y)
| ~ p58(Y) )
& ( ~ p58(Y)
| ~ p59(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) )
& ( p29(Y)
| p30(Y) )
& ( p3(Y)
| p4(Y) )
& ( p30(Y)
| p31(Y) )
& ( p31(Y)
| p32(Y) )
& ( p32(Y)
| p33(Y) )
& ( p33(Y)
| p34(Y) )
& ( p34(Y)
| p35(Y) )
& ( p35(Y)
| p36(Y) )
& ( p36(Y)
| p37(Y) )
& ( p37(Y)
| p38(Y) )
& ( p38(Y)
| p39(Y) )
& ( p39(Y)
| p40(Y) )
& ( p4(Y)
| p5(Y) )
& ( p40(Y)
| p41(Y) )
& ( p41(Y)
| p42(Y) )
& ( p42(Y)
| p43(Y) )
& ( p43(Y)
| p44(Y) )
& ( p44(Y)
| p45(Y) )
& ( p45(Y)
| p46(Y) )
& ( p46(Y)
| p47(Y) )
& ( p47(Y)
| p48(Y) )
& ( p48(Y)
| p49(Y) )
& ( p49(Y)
| p50(Y) )
& ( p5(Y)
| p6(Y) )
& ( p50(Y)
| p51(Y) )
& ( p51(Y)
| p52(Y) )
& ( p52(Y)
| p53(Y) )
& ( p53(Y)
| p54(Y) )
& ( p54(Y)
| p55(Y) )
& ( p55(Y)
| p56(Y) )
& ( p56(Y)
| p57(Y) )
& ( p57(Y)
| p58(Y) )
& ( p58(Y)
| p59(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] :
( p60(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] :
( ~ p60(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)
& ? [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)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p58(X)
| p59(X) )
& ( ~ p59(X)
| p58(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p57(Y)
| p58(Y) )
& ( ~ p58(Y)
| p57(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p56(X)
| p57(X) )
& ( ~ p57(X)
| p56(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p55(Y)
| p56(Y) )
& ( ~ p56(Y)
| p55(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p54(X)
| p55(X) )
& ( ~ p55(X)
| p54(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p53(Y)
| p54(Y) )
& ( ~ p54(Y)
| p53(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p52(X)
| p53(X) )
& ( ~ p53(X)
| p52(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p51(Y)
| p52(Y) )
& ( ~ p52(Y)
| p51(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p50(X)
| p51(X) )
& ( ~ p51(X)
| p50(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p49(Y)
| p50(Y) )
& ( ~ p50(Y)
| p49(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p48(X)
| p49(X) )
& ( ~ p49(X)
| p48(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p47(Y)
| p48(Y) )
& ( ~ p48(Y)
| p47(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p46(X)
| p47(X) )
& ( ~ p47(X)
| p46(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p45(Y)
| p46(Y) )
& ( ~ p46(Y)
| p45(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p44(X)
| p45(X) )
& ( ~ p45(X)
| p44(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p43(Y)
| p44(Y) )
& ( ~ p44(Y)
| p43(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p42(X)
| p43(X) )
& ( ~ p43(X)
| p42(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p41(Y)
| p42(Y) )
& ( ~ p42(Y)
| p41(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p40(X)
| p41(X) )
& ( ~ p41(X)
| p40(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p39(Y)
| p40(Y) )
& ( ~ p40(Y)
| p39(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p38(X)
| p39(X) )
& ( ~ p39(X)
| p38(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p37(Y)
| p38(Y) )
& ( ~ p38(Y)
| p37(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p36(X)
| p37(X) )
& ( ~ p37(X)
| p36(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p35(Y)
| p36(Y) )
& ( ~ p36(Y)
| p35(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p34(X)
| p35(X) )
& ( ~ p35(X)
| p34(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p33(Y)
| p34(Y) )
& ( ~ p34(Y)
| p33(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p32(X)
| p33(X) )
& ( ~ p33(X)
| p32(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p31(Y)
| p32(Y) )
& ( ~ p32(Y)
| p31(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p30(X)
| p31(X) )
& ( ~ p31(X)
| p30(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p29(Y)
| p30(Y) )
& ( ~ p30(Y)
| p29(Y) ) ) ) )
& ! [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) )
& ( ~ p29(Y)
| ~ p30(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p30(Y)
| ~ p31(Y) )
& ( ~ p31(Y)
| ~ p32(Y) )
& ( ~ p32(Y)
| ~ p33(Y) )
& ( ~ p33(Y)
| ~ p34(Y) )
& ( ~ p34(Y)
| ~ p35(Y) )
& ( ~ p35(Y)
| ~ p36(Y) )
& ( ~ p36(Y)
| ~ p37(Y) )
& ( ~ p37(Y)
| ~ p38(Y) )
& ( ~ p38(Y)
| ~ p39(Y) )
& ( ~ p39(Y)
| ~ p40(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p40(Y)
| ~ p41(Y) )
& ( ~ p41(Y)
| ~ p42(Y) )
& ( ~ p42(Y)
| ~ p43(Y) )
& ( ~ p43(Y)
| ~ p44(Y) )
& ( ~ p44(Y)
| ~ p45(Y) )
& ( ~ p45(Y)
| ~ p46(Y) )
& ( ~ p46(Y)
| ~ p47(Y) )
& ( ~ p47(Y)
| ~ p48(Y) )
& ( ~ p48(Y)
| ~ p49(Y) )
& ( ~ p49(Y)
| ~ p50(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p50(Y)
| ~ p51(Y) )
& ( ~ p51(Y)
| ~ p52(Y) )
& ( ~ p52(Y)
| ~ p53(Y) )
& ( ~ p53(Y)
| ~ p54(Y) )
& ( ~ p54(Y)
| ~ p55(Y) )
& ( ~ p55(Y)
| ~ p56(Y) )
& ( ~ p56(Y)
| ~ p57(Y) )
& ( ~ p57(Y)
| ~ p58(Y) )
& ( ~ p58(Y)
| ~ p59(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) )
& ( p29(Y)
| p30(Y) )
& ( p3(Y)
| p4(Y) )
& ( p30(Y)
| p31(Y) )
& ( p31(Y)
| p32(Y) )
& ( p32(Y)
| p33(Y) )
& ( p33(Y)
| p34(Y) )
& ( p34(Y)
| p35(Y) )
& ( p35(Y)
| p36(Y) )
& ( p36(Y)
| p37(Y) )
& ( p37(Y)
| p38(Y) )
& ( p38(Y)
| p39(Y) )
& ( p39(Y)
| p40(Y) )
& ( p4(Y)
| p5(Y) )
& ( p40(Y)
| p41(Y) )
& ( p41(Y)
| p42(Y) )
& ( p42(Y)
| p43(Y) )
& ( p43(Y)
| p44(Y) )
& ( p44(Y)
| p45(Y) )
& ( p45(Y)
| p46(Y) )
& ( p46(Y)
| p47(Y) )
& ( p47(Y)
| p48(Y) )
& ( p48(Y)
| p49(Y) )
& ( p49(Y)
| p50(Y) )
& ( p5(Y)
| p6(Y) )
& ( p50(Y)
| p51(Y) )
& ( p51(Y)
| p52(Y) )
& ( p52(Y)
| p53(Y) )
& ( p53(Y)
| p54(Y) )
& ( p54(Y)
| p55(Y) )
& ( p55(Y)
| p56(Y) )
& ( p56(Y)
| p57(Y) )
& ( p57(Y)
| p58(Y) )
& ( p58(Y)
| p59(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] :
( p60(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] :
( ~ p60(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)
& ? [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)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p58(X)
| p59(X) )
& ( ~ p59(X)
| p58(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p57(Y)
| p58(Y) )
& ( ~ p58(Y)
| p57(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p56(X)
| p57(X) )
& ( ~ p57(X)
| p56(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p55(Y)
| p56(Y) )
& ( ~ p56(Y)
| p55(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p54(X)
| p55(X) )
& ( ~ p55(X)
| p54(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p53(Y)
| p54(Y) )
& ( ~ p54(Y)
| p53(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p52(X)
| p53(X) )
& ( ~ p53(X)
| p52(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p51(Y)
| p52(Y) )
& ( ~ p52(Y)
| p51(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p50(X)
| p51(X) )
& ( ~ p51(X)
| p50(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p49(Y)
| p50(Y) )
& ( ~ p50(Y)
| p49(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p48(X)
| p49(X) )
& ( ~ p49(X)
| p48(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p47(Y)
| p48(Y) )
& ( ~ p48(Y)
| p47(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p46(X)
| p47(X) )
& ( ~ p47(X)
| p46(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p45(Y)
| p46(Y) )
& ( ~ p46(Y)
| p45(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p44(X)
| p45(X) )
& ( ~ p45(X)
| p44(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p43(Y)
| p44(Y) )
& ( ~ p44(Y)
| p43(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p42(X)
| p43(X) )
& ( ~ p43(X)
| p42(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p41(Y)
| p42(Y) )
& ( ~ p42(Y)
| p41(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p40(X)
| p41(X) )
& ( ~ p41(X)
| p40(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p39(Y)
| p40(Y) )
& ( ~ p40(Y)
| p39(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p38(X)
| p39(X) )
& ( ~ p39(X)
| p38(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p37(Y)
| p38(Y) )
& ( ~ p38(Y)
| p37(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p36(X)
| p37(X) )
& ( ~ p37(X)
| p36(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p35(Y)
| p36(Y) )
& ( ~ p36(Y)
| p35(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p34(X)
| p35(X) )
& ( ~ p35(X)
| p34(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p33(Y)
| p34(Y) )
& ( ~ p34(Y)
| p33(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p32(X)
| p33(X) )
& ( ~ p33(X)
| p32(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p31(Y)
| p32(Y) )
& ( ~ p32(Y)
| p31(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p30(X)
| p31(X) )
& ( ~ p31(X)
| p30(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p29(Y)
| p30(Y) )
& ( ~ p30(Y)
| p29(Y) ) ) ) )
& ! [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) )
& ( ~ p29(Y)
| ~ p30(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p30(Y)
| ~ p31(Y) )
& ( ~ p31(Y)
| ~ p32(Y) )
& ( ~ p32(Y)
| ~ p33(Y) )
& ( ~ p33(Y)
| ~ p34(Y) )
& ( ~ p34(Y)
| ~ p35(Y) )
& ( ~ p35(Y)
| ~ p36(Y) )
& ( ~ p36(Y)
| ~ p37(Y) )
& ( ~ p37(Y)
| ~ p38(Y) )
& ( ~ p38(Y)
| ~ p39(Y) )
& ( ~ p39(Y)
| ~ p40(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p40(Y)
| ~ p41(Y) )
& ( ~ p41(Y)
| ~ p42(Y) )
& ( ~ p42(Y)
| ~ p43(Y) )
& ( ~ p43(Y)
| ~ p44(Y) )
& ( ~ p44(Y)
| ~ p45(Y) )
& ( ~ p45(Y)
| ~ p46(Y) )
& ( ~ p46(Y)
| ~ p47(Y) )
& ( ~ p47(Y)
| ~ p48(Y) )
& ( ~ p48(Y)
| ~ p49(Y) )
& ( ~ p49(Y)
| ~ p50(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p50(Y)
| ~ p51(Y) )
& ( ~ p51(Y)
| ~ p52(Y) )
& ( ~ p52(Y)
| ~ p53(Y) )
& ( ~ p53(Y)
| ~ p54(Y) )
& ( ~ p54(Y)
| ~ p55(Y) )
& ( ~ p55(Y)
| ~ p56(Y) )
& ( ~ p56(Y)
| ~ p57(Y) )
& ( ~ p57(Y)
| ~ p58(Y) )
& ( ~ p58(Y)
| ~ p59(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) )
& ( p29(Y)
| p30(Y) )
& ( p3(Y)
| p4(Y) )
& ( p30(Y)
| p31(Y) )
& ( p31(Y)
| p32(Y) )
& ( p32(Y)
| p33(Y) )
& ( p33(Y)
| p34(Y) )
& ( p34(Y)
| p35(Y) )
& ( p35(Y)
| p36(Y) )
& ( p36(Y)
| p37(Y) )
& ( p37(Y)
| p38(Y) )
& ( p38(Y)
| p39(Y) )
& ( p39(Y)
| p40(Y) )
& ( p4(Y)
| p5(Y) )
& ( p40(Y)
| p41(Y) )
& ( p41(Y)
| p42(Y) )
& ( p42(Y)
| p43(Y) )
& ( p43(Y)
| p44(Y) )
& ( p44(Y)
| p45(Y) )
& ( p45(Y)
| p46(Y) )
& ( p46(Y)
| p47(Y) )
& ( p47(Y)
| p48(Y) )
& ( p48(Y)
| p49(Y) )
& ( p49(Y)
| p50(Y) )
& ( p5(Y)
| p6(Y) )
& ( p50(Y)
| p51(Y) )
& ( p51(Y)
| p52(Y) )
& ( p52(Y)
| p53(Y) )
& ( p53(Y)
| p54(Y) )
& ( p54(Y)
| p55(Y) )
& ( p55(Y)
| p56(Y) )
& ( p56(Y)
| p57(Y) )
& ( p57(Y)
| p58(Y) )
& ( p58(Y)
| p59(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] :
( ~ p60(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)
& ? [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)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p58(X)
| p59(X) )
& ( ~ p59(X)
| p58(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p57(Y)
| p58(Y) )
& ( ~ p58(Y)
| p57(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p56(X)
| p57(X) )
& ( ~ p57(X)
| p56(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p55(Y)
| p56(Y) )
& ( ~ p56(Y)
| p55(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p54(X)
| p55(X) )
& ( ~ p55(X)
| p54(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p53(Y)
| p54(Y) )
& ( ~ p54(Y)
| p53(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p52(X)
| p53(X) )
& ( ~ p53(X)
| p52(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p51(Y)
| p52(Y) )
& ( ~ p52(Y)
| p51(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p50(X)
| p51(X) )
& ( ~ p51(X)
| p50(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p49(Y)
| p50(Y) )
& ( ~ p50(Y)
| p49(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p48(X)
| p49(X) )
& ( ~ p49(X)
| p48(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p47(Y)
| p48(Y) )
& ( ~ p48(Y)
| p47(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p46(X)
| p47(X) )
& ( ~ p47(X)
| p46(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p45(Y)
| p46(Y) )
& ( ~ p46(Y)
| p45(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p44(X)
| p45(X) )
& ( ~ p45(X)
| p44(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p43(Y)
| p44(Y) )
& ( ~ p44(Y)
| p43(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p42(X)
| p43(X) )
& ( ~ p43(X)
| p42(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p41(Y)
| p42(Y) )
& ( ~ p42(Y)
| p41(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p40(X)
| p41(X) )
& ( ~ p41(X)
| p40(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p39(Y)
| p40(Y) )
& ( ~ p40(Y)
| p39(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p38(X)
| p39(X) )
& ( ~ p39(X)
| p38(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p37(Y)
| p38(Y) )
& ( ~ p38(Y)
| p37(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p36(X)
| p37(X) )
& ( ~ p37(X)
| p36(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p35(Y)
| p36(Y) )
& ( ~ p36(Y)
| p35(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p34(X)
| p35(X) )
& ( ~ p35(X)
| p34(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p33(Y)
| p34(Y) )
& ( ~ p34(Y)
| p33(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p32(X)
| p33(X) )
& ( ~ p33(X)
| p32(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p31(Y)
| p32(Y) )
& ( ~ p32(Y)
| p31(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p30(X)
| p31(X) )
& ( ~ p31(X)
| p30(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p29(Y)
| p30(Y) )
& ( ~ p30(Y)
| p29(Y) ) ) ) )
& ! [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) )
& ( ~ p29(Y)
| ~ p30(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p30(Y)
| ~ p31(Y) )
& ( ~ p31(Y)
| ~ p32(Y) )
& ( ~ p32(Y)
| ~ p33(Y) )
& ( ~ p33(Y)
| ~ p34(Y) )
& ( ~ p34(Y)
| ~ p35(Y) )
& ( ~ p35(Y)
| ~ p36(Y) )
& ( ~ p36(Y)
| ~ p37(Y) )
& ( ~ p37(Y)
| ~ p38(Y) )
& ( ~ p38(Y)
| ~ p39(Y) )
& ( ~ p39(Y)
| ~ p40(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p40(Y)
| ~ p41(Y) )
& ( ~ p41(Y)
| ~ p42(Y) )
& ( ~ p42(Y)
| ~ p43(Y) )
& ( ~ p43(Y)
| ~ p44(Y) )
& ( ~ p44(Y)
| ~ p45(Y) )
& ( ~ p45(Y)
| ~ p46(Y) )
& ( ~ p46(Y)
| ~ p47(Y) )
& ( ~ p47(Y)
| ~ p48(Y) )
& ( ~ p48(Y)
| ~ p49(Y) )
& ( ~ p49(Y)
| ~ p50(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p50(Y)
| ~ p51(Y) )
& ( ~ p51(Y)
| ~ p52(Y) )
& ( ~ p52(Y)
| ~ p53(Y) )
& ( ~ p53(Y)
| ~ p54(Y) )
& ( ~ p54(Y)
| ~ p55(Y) )
& ( ~ p55(Y)
| ~ p56(Y) )
& ( ~ p56(Y)
| ~ p57(Y) )
& ( ~ p57(Y)
| ~ p58(Y) )
& ( ~ p58(Y)
| ~ p59(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) )
& ( p29(Y)
| p30(Y) )
& ( p3(Y)
| p4(Y) )
& ( p30(Y)
| p31(Y) )
& ( p31(Y)
| p32(Y) )
& ( p32(Y)
| p33(Y) )
& ( p33(Y)
| p34(Y) )
& ( p34(Y)
| p35(Y) )
& ( p35(Y)
| p36(Y) )
& ( p36(Y)
| p37(Y) )
& ( p37(Y)
| p38(Y) )
& ( p38(Y)
| p39(Y) )
& ( p39(Y)
| p40(Y) )
& ( p4(Y)
| p5(Y) )
& ( p40(Y)
| p41(Y) )
& ( p41(Y)
| p42(Y) )
& ( p42(Y)
| p43(Y) )
& ( p43(Y)
| p44(Y) )
& ( p44(Y)
| p45(Y) )
& ( p45(Y)
| p46(Y) )
& ( p46(Y)
| p47(Y) )
& ( p47(Y)
| p48(Y) )
& ( p48(Y)
| p49(Y) )
& ( p49(Y)
| p50(Y) )
& ( p5(Y)
| p6(Y) )
& ( p50(Y)
| p51(Y) )
& ( p51(Y)
| p52(Y) )
& ( p52(Y)
| p53(Y) )
& ( p53(Y)
| p54(Y) )
& ( p54(Y)
| p55(Y) )
& ( p55(Y)
| p56(Y) )
& ( p56(Y)
| p57(Y) )
& ( p57(Y)
| p58(Y) )
& ( p58(Y)
| p59(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] :
( ~ p60(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)
& ? [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)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p58(X)
| p59(X) )
& ( ~ p59(X)
| p58(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p57(Y)
| p58(Y) )
& ( ~ p58(Y)
| p57(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p56(X)
| p57(X) )
& ( ~ p57(X)
| p56(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p55(Y)
| p56(Y) )
& ( ~ p56(Y)
| p55(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p54(X)
| p55(X) )
& ( ~ p55(X)
| p54(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p53(Y)
| p54(Y) )
& ( ~ p54(Y)
| p53(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p52(X)
| p53(X) )
& ( ~ p53(X)
| p52(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p51(Y)
| p52(Y) )
& ( ~ p52(Y)
| p51(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p50(X)
| p51(X) )
& ( ~ p51(X)
| p50(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p49(Y)
| p50(Y) )
& ( ~ p50(Y)
| p49(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p48(X)
| p49(X) )
& ( ~ p49(X)
| p48(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p47(Y)
| p48(Y) )
& ( ~ p48(Y)
| p47(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p46(X)
| p47(X) )
& ( ~ p47(X)
| p46(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p45(Y)
| p46(Y) )
& ( ~ p46(Y)
| p45(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p44(X)
| p45(X) )
& ( ~ p45(X)
| p44(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p43(Y)
| p44(Y) )
& ( ~ p44(Y)
| p43(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p42(X)
| p43(X) )
& ( ~ p43(X)
| p42(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p41(Y)
| p42(Y) )
& ( ~ p42(Y)
| p41(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p40(X)
| p41(X) )
& ( ~ p41(X)
| p40(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p39(Y)
| p40(Y) )
& ( ~ p40(Y)
| p39(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p38(X)
| p39(X) )
& ( ~ p39(X)
| p38(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p37(Y)
| p38(Y) )
& ( ~ p38(Y)
| p37(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p36(X)
| p37(X) )
& ( ~ p37(X)
| p36(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p35(Y)
| p36(Y) )
& ( ~ p36(Y)
| p35(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p34(X)
| p35(X) )
& ( ~ p35(X)
| p34(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p33(Y)
| p34(Y) )
& ( ~ p34(Y)
| p33(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p32(X)
| p33(X) )
& ( ~ p33(X)
| p32(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p31(Y)
| p32(Y) )
& ( ~ p32(Y)
| p31(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p30(X)
| p31(X) )
& ( ~ p31(X)
| p30(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p29(Y)
| p30(Y) )
& ( ~ p30(Y)
| p29(Y) ) ) ) )
& ! [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) )
& ( ~ p29(Y)
| ~ p30(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p30(Y)
| ~ p31(Y) )
& ( ~ p31(Y)
| ~ p32(Y) )
& ( ~ p32(Y)
| ~ p33(Y) )
& ( ~ p33(Y)
| ~ p34(Y) )
& ( ~ p34(Y)
| ~ p35(Y) )
& ( ~ p35(Y)
| ~ p36(Y) )
& ( ~ p36(Y)
| ~ p37(Y) )
& ( ~ p37(Y)
| ~ p38(Y) )
& ( ~ p38(Y)
| ~ p39(Y) )
& ( ~ p39(Y)
| ~ p40(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p40(Y)
| ~ p41(Y) )
& ( ~ p41(Y)
| ~ p42(Y) )
& ( ~ p42(Y)
| ~ p43(Y) )
& ( ~ p43(Y)
| ~ p44(Y) )
& ( ~ p44(Y)
| ~ p45(Y) )
& ( ~ p45(Y)
| ~ p46(Y) )
& ( ~ p46(Y)
| ~ p47(Y) )
& ( ~ p47(Y)
| ~ p48(Y) )
& ( ~ p48(Y)
| ~ p49(Y) )
& ( ~ p49(Y)
| ~ p50(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p50(Y)
| ~ p51(Y) )
& ( ~ p51(Y)
| ~ p52(Y) )
& ( ~ p52(Y)
| ~ p53(Y) )
& ( ~ p53(Y)
| ~ p54(Y) )
& ( ~ p54(Y)
| ~ p55(Y) )
& ( ~ p55(Y)
| ~ p56(Y) )
& ( ~ p56(Y)
| ~ p57(Y) )
& ( ~ p57(Y)
| ~ p58(Y) )
& ( ~ p58(Y)
| ~ p59(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) )
& ( p29(Y)
| p30(Y) )
& ( p3(Y)
| p4(Y) )
& ( p30(Y)
| p31(Y) )
& ( p31(Y)
| p32(Y) )
& ( p32(Y)
| p33(Y) )
& ( p33(Y)
| p34(Y) )
& ( p34(Y)
| p35(Y) )
& ( p35(Y)
| p36(Y) )
& ( p36(Y)
| p37(Y) )
& ( p37(Y)
| p38(Y) )
& ( p38(Y)
| p39(Y) )
& ( p39(Y)
| p40(Y) )
& ( p4(Y)
| p5(Y) )
& ( p40(Y)
| p41(Y) )
& ( p41(Y)
| p42(Y) )
& ( p42(Y)
| p43(Y) )
& ( p43(Y)
| p44(Y) )
& ( p44(Y)
| p45(Y) )
& ( p45(Y)
| p46(Y) )
& ( p46(Y)
| p47(Y) )
& ( p47(Y)
| p48(Y) )
& ( p48(Y)
| p49(Y) )
& ( p49(Y)
| p50(Y) )
& ( p5(Y)
| p6(Y) )
& ( p50(Y)
| p51(Y) )
& ( p51(Y)
| p52(Y) )
& ( p52(Y)
| p53(Y) )
& ( p53(Y)
| p54(Y) )
& ( p54(Y)
| p55(Y) )
& ( p55(Y)
| p56(Y) )
& ( p56(Y)
| p57(Y) )
& ( p57(Y)
| p58(Y) )
& ( p58(Y)
| p59(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] :
( ~ p60(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)
& ? [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)
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p58(X)
| p59(X) )
& ( ~ p59(X)
| p58(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p57(Y)
| p58(Y) )
& ( ~ p58(Y)
| p57(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p56(X)
| p57(X) )
& ( ~ p57(X)
| p56(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p55(Y)
| p56(Y) )
& ( ~ p56(Y)
| p55(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p54(X)
| p55(X) )
& ( ~ p55(X)
| p54(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p53(Y)
| p54(Y) )
& ( ~ p54(Y)
| p53(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p52(X)
| p53(X) )
& ( ~ p53(X)
| p52(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p51(Y)
| p52(Y) )
& ( ~ p52(Y)
| p51(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p50(X)
| p51(X) )
& ( ~ p51(X)
| p50(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p49(Y)
| p50(Y) )
& ( ~ p50(Y)
| p49(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p48(X)
| p49(X) )
& ( ~ p49(X)
| p48(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p47(Y)
| p48(Y) )
& ( ~ p48(Y)
| p47(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p46(X)
| p47(X) )
& ( ~ p47(X)
| p46(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p45(Y)
| p46(Y) )
& ( ~ p46(Y)
| p45(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p44(X)
| p45(X) )
& ( ~ p45(X)
| p44(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p43(Y)
| p44(Y) )
& ( ~ p44(Y)
| p43(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p42(X)
| p43(X) )
& ( ~ p43(X)
| p42(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p41(Y)
| p42(Y) )
& ( ~ p42(Y)
| p41(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p40(X)
| p41(X) )
& ( ~ p41(X)
| p40(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p39(Y)
| p40(Y) )
& ( ~ p40(Y)
| p39(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p38(X)
| p39(X) )
& ( ~ p39(X)
| p38(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p37(Y)
| p38(Y) )
& ( ~ p38(Y)
| p37(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p36(X)
| p37(X) )
& ( ~ p37(X)
| p36(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p35(Y)
| p36(Y) )
& ( ~ p36(Y)
| p35(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p34(X)
| p35(X) )
& ( ~ p35(X)
| p34(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p33(Y)
| p34(Y) )
& ( ~ p34(Y)
| p33(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p32(X)
| p33(X) )
& ( ~ p33(X)
| p32(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p31(Y)
| p32(Y) )
& ( ~ p32(Y)
| p31(Y) ) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ( ( ~ p30(X)
| p31(X) )
& ( ~ p31(X)
| p30(X) ) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p29(Y)
| p30(Y) )
& ( ~ p30(Y)
| p29(Y) ) ) ) )
& ! [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) )
& ( ~ p29(Y)
| ~ p30(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( ~ p30(Y)
| ~ p31(Y) )
& ( ~ p31(Y)
| ~ p32(Y) )
& ( ~ p32(Y)
| ~ p33(Y) )
& ( ~ p33(Y)
| ~ p34(Y) )
& ( ~ p34(Y)
| ~ p35(Y) )
& ( ~ p35(Y)
| ~ p36(Y) )
& ( ~ p36(Y)
| ~ p37(Y) )
& ( ~ p37(Y)
| ~ p38(Y) )
& ( ~ p38(Y)
| ~ p39(Y) )
& ( ~ p39(Y)
| ~ p40(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( ~ p40(Y)
| ~ p41(Y) )
& ( ~ p41(Y)
| ~ p42(Y) )
& ( ~ p42(Y)
| ~ p43(Y) )
& ( ~ p43(Y)
| ~ p44(Y) )
& ( ~ p44(Y)
| ~ p45(Y) )
& ( ~ p45(Y)
| ~ p46(Y) )
& ( ~ p46(Y)
| ~ p47(Y) )
& ( ~ p47(Y)
| ~ p48(Y) )
& ( ~ p48(Y)
| ~ p49(Y) )
& ( ~ p49(Y)
| ~ p50(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( ~ p50(Y)
| ~ p51(Y) )
& ( ~ p51(Y)
| ~ p52(Y) )
& ( ~ p52(Y)
| ~ p53(Y) )
& ( ~ p53(Y)
| ~ p54(Y) )
& ( ~ p54(Y)
| ~ p55(Y) )
& ( ~ p55(Y)
| ~ p56(Y) )
& ( ~ p56(Y)
| ~ p57(Y) )
& ( ~ p57(Y)
| ~ p58(Y) )
& ( ~ p58(Y)
| ~ p59(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) )
& ( p29(Y)
| p30(Y) )
& ( p3(Y)
| p4(Y) )
& ( p30(Y)
| p31(Y) )
& ( p31(Y)
| p32(Y) )
& ( p32(Y)
| p33(Y) )
& ( p33(Y)
| p34(Y) )
& ( p34(Y)
| p35(Y) )
& ( p35(Y)
| p36(Y) )
& ( p36(Y)
| p37(Y) )
& ( p37(Y)
| p38(Y) )
& ( p38(Y)
| p39(Y) )
& ( p39(Y)
| p40(Y) )
& ( p4(Y)
| p5(Y) )
& ( p40(Y)
| p41(Y) )
& ( p41(Y)
| p42(Y) )
& ( p42(Y)
| p43(Y) )
& ( p43(Y)
| p44(Y) )
& ( p44(Y)
| p45(Y) )
& ( p45(Y)
| p46(Y) )
& ( p46(Y)
| p47(Y) )
& ( p47(Y)
| p48(Y) )
& ( p48(Y)
| p49(Y) )
& ( p49(Y)
| p50(Y) )
& ( p5(Y)
| p6(Y) )
& ( p50(Y)
| p51(Y) )
& ( p51(Y)
| p52(Y) )
& ( p52(Y)
| p53(Y) )
& ( p53(Y)
| p54(Y) )
& ( p54(Y)
| p55(Y) )
& ( p55(Y)
| p56(Y) )
& ( p56(Y)
| p57(Y) )
& ( p57(Y)
| p58(Y) )
& ( p58(Y)
| p59(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] :
( ( ~ p60(skolemFOFtoCNF_Y_31(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_31(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\'_13'(X),skolemFOFtoCNF_Y_15(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_14'(X),skolemFOFtoCNF_Y_16(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_15'(X),skolemFOFtoCNF_Y_17(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_16'(X),skolemFOFtoCNF_Y_18(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_17'(X),skolemFOFtoCNF_Y_19(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_18'(X),skolemFOFtoCNF_Y_20(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_19'(X),skolemFOFtoCNF_Y_21(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_2'(X),skolemFOFtoCNF_Y_4(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_20'(X),skolemFOFtoCNF_Y_22(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_21'(X),skolemFOFtoCNF_Y_23(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_22'(X),skolemFOFtoCNF_Y_24(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_23'(X),skolemFOFtoCNF_Y_25(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_24'(X),skolemFOFtoCNF_Y_26(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_25'(X),skolemFOFtoCNF_Y_27(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_26'(X),skolemFOFtoCNF_Y_28(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\'_27'(X),skolemFOFtoCNF_Y_29(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_16(X),'skolemFOFtoCNF_X\'_14'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_17(X),'skolemFOFtoCNF_X\'_15'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_18(X),'skolemFOFtoCNF_X\'_16'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_19(X),'skolemFOFtoCNF_X\'_17'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_2(X),'skolemFOFtoCNF_X\''(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_20(X),'skolemFOFtoCNF_X\'_18'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_21(X),'skolemFOFtoCNF_X\'_19'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_22(X),'skolemFOFtoCNF_X\'_20'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_23(X),'skolemFOFtoCNF_X\'_21'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_24(X),'skolemFOFtoCNF_X\'_22'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_25(X),'skolemFOFtoCNF_X\'_23'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_26(X),'skolemFOFtoCNF_X\'_24'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_27(X),'skolemFOFtoCNF_X\'_25'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_28(X),'skolemFOFtoCNF_X\'_26'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_29(X),'skolemFOFtoCNF_X\'_27'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_3(X),'skolemFOFtoCNF_X\'_1'(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_30(X),'skolemFOFtoCNF_X\'_28'(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) )
& ( ~ p29(skolemFOFtoCNF_Y_1(X))
| ~ p30(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p3(skolemFOFtoCNF_Y_1(X))
| ~ p4(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p30(skolemFOFtoCNF_Y_1(X))
| ~ p31(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p31(skolemFOFtoCNF_Y_1(X))
| ~ p32(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p32(skolemFOFtoCNF_Y_1(X))
| ~ p33(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p33(skolemFOFtoCNF_Y_1(X))
| ~ p34(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p34(skolemFOFtoCNF_Y_1(X))
| ~ p35(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p35(skolemFOFtoCNF_Y_1(X))
| ~ p36(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p36(skolemFOFtoCNF_Y_1(X))
| ~ p37(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p37(skolemFOFtoCNF_Y_1(X))
| ~ p38(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p38(skolemFOFtoCNF_Y_1(X))
| ~ p39(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p39(skolemFOFtoCNF_Y_1(X))
| ~ p40(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p4(skolemFOFtoCNF_Y_1(X))
| ~ p5(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p40(skolemFOFtoCNF_Y_1(X))
| ~ p41(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p41(skolemFOFtoCNF_Y_1(X))
| ~ p42(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p42(skolemFOFtoCNF_Y_1(X))
| ~ p43(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p43(skolemFOFtoCNF_Y_1(X))
| ~ p44(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p44(skolemFOFtoCNF_Y_1(X))
| ~ p45(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p45(skolemFOFtoCNF_Y_1(X))
| ~ p46(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p46(skolemFOFtoCNF_Y_1(X))
| ~ p47(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p47(skolemFOFtoCNF_Y_1(X))
| ~ p48(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p48(skolemFOFtoCNF_Y_1(X))
| ~ p49(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p49(skolemFOFtoCNF_Y_1(X))
| ~ p50(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p5(skolemFOFtoCNF_Y_1(X))
| ~ p6(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p50(skolemFOFtoCNF_Y_1(X))
| ~ p51(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p51(skolemFOFtoCNF_Y_1(X))
| ~ p52(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p52(skolemFOFtoCNF_Y_1(X))
| ~ p53(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p53(skolemFOFtoCNF_Y_1(X))
| ~ p54(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p54(skolemFOFtoCNF_Y_1(X))
| ~ p55(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p55(skolemFOFtoCNF_Y_1(X))
| ~ p56(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p56(skolemFOFtoCNF_Y_1(X))
| ~ p57(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p57(skolemFOFtoCNF_Y_1(X))
| ~ p58(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ p58(skolemFOFtoCNF_Y_1(X))
| ~ p59(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)
| p29(skolemFOFtoCNF_Y_1(X))
| p30(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p3(skolemFOFtoCNF_Y_1(X))
| p4(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p30(skolemFOFtoCNF_Y_1(X))
| p31(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p31(skolemFOFtoCNF_Y_1(X))
| p32(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p32(skolemFOFtoCNF_Y_1(X))
| p33(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p33(skolemFOFtoCNF_Y_1(X))
| p34(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p34(skolemFOFtoCNF_Y_1(X))
| p35(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p35(skolemFOFtoCNF_Y_1(X))
| p36(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p36(skolemFOFtoCNF_Y_1(X))
| p37(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p37(skolemFOFtoCNF_Y_1(X))
| p38(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p38(skolemFOFtoCNF_Y_1(X))
| p39(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p39(skolemFOFtoCNF_Y_1(X))
| p40(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p4(skolemFOFtoCNF_Y_1(X))
| p5(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p40(skolemFOFtoCNF_Y_1(X))
| p41(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p41(skolemFOFtoCNF_Y_1(X))
| p42(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p42(skolemFOFtoCNF_Y_1(X))
| p43(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p43(skolemFOFtoCNF_Y_1(X))
| p44(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p44(skolemFOFtoCNF_Y_1(X))
| p45(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p45(skolemFOFtoCNF_Y_1(X))
| p46(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p46(skolemFOFtoCNF_Y_1(X))
| p47(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p47(skolemFOFtoCNF_Y_1(X))
| p48(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p48(skolemFOFtoCNF_Y_1(X))
| p49(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p49(skolemFOFtoCNF_Y_1(X))
| p50(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p5(skolemFOFtoCNF_Y_1(X))
| p6(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p50(skolemFOFtoCNF_Y_1(X))
| p51(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p51(skolemFOFtoCNF_Y_1(X))
| p52(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p52(skolemFOFtoCNF_Y_1(X))
| p53(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p53(skolemFOFtoCNF_Y_1(X))
| p54(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p54(skolemFOFtoCNF_Y_1(X))
| p55(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p55(skolemFOFtoCNF_Y_1(X))
| p56(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p56(skolemFOFtoCNF_Y_1(X))
| p57(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p57(skolemFOFtoCNF_Y_1(X))
| p58(skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p58(skolemFOFtoCNF_Y_1(X))
| p59(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) )
& ( ~ p29(Y)
| ~ r1('skolemFOFtoCNF_X\'_13'(X),skolemFOFtoCNF_Y_15(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p30(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) )
& ( ~ p30(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_16(X),X0)
| p31(X0) )
& ( ~ p30(Y)
| ~ r1('skolemFOFtoCNF_X\'_13'(X),skolemFOFtoCNF_Y_15(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p29(Y) )
& ( ~ p31(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_16(X),X0)
| p30(X0) )
& ( ~ p31(Y)
| ~ r1('skolemFOFtoCNF_X\'_14'(X),skolemFOFtoCNF_Y_16(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p32(Y) )
& ( ~ p32(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_17(X),X0)
| p33(X0) )
& ( ~ p32(Y)
| ~ r1('skolemFOFtoCNF_X\'_14'(X),skolemFOFtoCNF_Y_16(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p31(Y) )
& ( ~ p33(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_17(X),X0)
| p32(X0) )
& ( ~ p33(Y)
| ~ r1('skolemFOFtoCNF_X\'_15'(X),skolemFOFtoCNF_Y_17(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p34(Y) )
& ( ~ p34(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_18(X),X0)
| p35(X0) )
& ( ~ p34(Y)
| ~ r1('skolemFOFtoCNF_X\'_15'(X),skolemFOFtoCNF_Y_17(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p33(Y) )
& ( ~ p35(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_18(X),X0)
| p34(X0) )
& ( ~ p35(Y)
| ~ r1('skolemFOFtoCNF_X\'_16'(X),skolemFOFtoCNF_Y_18(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p36(Y) )
& ( ~ p36(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_19(X),X0)
| p37(X0) )
& ( ~ p36(Y)
| ~ r1('skolemFOFtoCNF_X\'_16'(X),skolemFOFtoCNF_Y_18(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p35(Y) )
& ( ~ p37(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_19(X),X0)
| p36(X0) )
& ( ~ p37(Y)
| ~ r1('skolemFOFtoCNF_X\'_17'(X),skolemFOFtoCNF_Y_19(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p38(Y) )
& ( ~ p38(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_20(X),X0)
| p39(X0) )
& ( ~ p38(Y)
| ~ r1('skolemFOFtoCNF_X\'_17'(X),skolemFOFtoCNF_Y_19(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p37(Y) )
& ( ~ p39(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_20(X),X0)
| p38(X0) )
& ( ~ p39(Y)
| ~ r1('skolemFOFtoCNF_X\'_18'(X),skolemFOFtoCNF_Y_20(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p40(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) )
& ( ~ p40(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_21(X),X0)
| p41(X0) )
& ( ~ p40(Y)
| ~ r1('skolemFOFtoCNF_X\'_18'(X),skolemFOFtoCNF_Y_20(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p39(Y) )
& ( ~ p41(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_21(X),X0)
| p40(X0) )
& ( ~ p41(Y)
| ~ r1('skolemFOFtoCNF_X\'_19'(X),skolemFOFtoCNF_Y_21(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p42(Y) )
& ( ~ p42(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_22(X),X0)
| p43(X0) )
& ( ~ p42(Y)
| ~ r1('skolemFOFtoCNF_X\'_19'(X),skolemFOFtoCNF_Y_21(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p41(Y) )
& ( ~ p43(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_22(X),X0)
| p42(X0) )
& ( ~ p43(Y)
| ~ r1('skolemFOFtoCNF_X\'_20'(X),skolemFOFtoCNF_Y_22(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p44(Y) )
& ( ~ p44(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_23(X),X0)
| p45(X0) )
& ( ~ p44(Y)
| ~ r1('skolemFOFtoCNF_X\'_20'(X),skolemFOFtoCNF_Y_22(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p43(Y) )
& ( ~ p45(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_23(X),X0)
| p44(X0) )
& ( ~ p45(Y)
| ~ r1('skolemFOFtoCNF_X\'_21'(X),skolemFOFtoCNF_Y_23(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p46(Y) )
& ( ~ p46(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_24(X),X0)
| p47(X0) )
& ( ~ p46(Y)
| ~ r1('skolemFOFtoCNF_X\'_21'(X),skolemFOFtoCNF_Y_23(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p45(Y) )
& ( ~ p47(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_24(X),X0)
| p46(X0) )
& ( ~ p47(Y)
| ~ r1('skolemFOFtoCNF_X\'_22'(X),skolemFOFtoCNF_Y_24(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p48(Y) )
& ( ~ p48(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_25(X),X0)
| p49(X0) )
& ( ~ p48(Y)
| ~ r1('skolemFOFtoCNF_X\'_22'(X),skolemFOFtoCNF_Y_24(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p47(Y) )
& ( ~ p49(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_25(X),X0)
| p48(X0) )
& ( ~ p49(Y)
| ~ r1('skolemFOFtoCNF_X\'_23'(X),skolemFOFtoCNF_Y_25(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p50(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) )
& ( ~ p50(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_26(X),X0)
| p51(X0) )
& ( ~ p50(Y)
| ~ r1('skolemFOFtoCNF_X\'_23'(X),skolemFOFtoCNF_Y_25(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p49(Y) )
& ( ~ p51(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_26(X),X0)
| p50(X0) )
& ( ~ p51(Y)
| ~ r1('skolemFOFtoCNF_X\'_24'(X),skolemFOFtoCNF_Y_26(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p52(Y) )
& ( ~ p52(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_27(X),X0)
| p53(X0) )
& ( ~ p52(Y)
| ~ r1('skolemFOFtoCNF_X\'_24'(X),skolemFOFtoCNF_Y_26(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p51(Y) )
& ( ~ p53(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_27(X),X0)
| p52(X0) )
& ( ~ p53(Y)
| ~ r1('skolemFOFtoCNF_X\'_25'(X),skolemFOFtoCNF_Y_27(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p54(Y) )
& ( ~ p54(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_28(X),X0)
| p55(X0) )
& ( ~ p54(Y)
| ~ r1('skolemFOFtoCNF_X\'_25'(X),skolemFOFtoCNF_Y_27(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p53(Y) )
& ( ~ p55(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_28(X),X0)
| p54(X0) )
& ( ~ p55(Y)
| ~ r1('skolemFOFtoCNF_X\'_26'(X),skolemFOFtoCNF_Y_28(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p56(Y) )
& ( ~ p56(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_29(X),X0)
| p57(X0) )
& ( ~ p56(Y)
| ~ r1('skolemFOFtoCNF_X\'_26'(X),skolemFOFtoCNF_Y_28(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p55(Y) )
& ( ~ p57(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_29(X),X0)
| p56(X0) )
& ( ~ p57(Y)
| ~ r1('skolemFOFtoCNF_X\'_27'(X),skolemFOFtoCNF_Y_29(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p58(Y) )
& ( ~ p58(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_30(X),X0)
| p59(X0) )
& ( ~ p58(Y)
| ~ r1('skolemFOFtoCNF_X\'_27'(X),skolemFOFtoCNF_Y_29(X))
| ~ r1(skolemFOFtoCNF_Y,X)
| p57(Y) )
& ( ~ p59(X0)
| ~ r1(skolemFOFtoCNF_Y,X)
| ~ r1(skolemFOFtoCNF_Y_30(X),X0)
| p58(X0) )
& ( ~ 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] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ p1(skolemFOFtoCNF_Y_1(X))
| ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\''(X),skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_13,plain,
! [X,Y,Z] :
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(canonicalize,[],[transitivity]) ).
fof(normalize_0_14,plain,
! [X,Y,Z] :
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_2(X),'skolemFOFtoCNF_X\''(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ p2(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p1(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,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_3,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_4,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ p1(skolemFOFtoCNF_Y_1(X))
| ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_6,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_7,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1('skolemFOFtoCNF_X\''(X),skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_9,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_10,plain,
r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_12,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_13,plain,
r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_15,plain,
( ~ r1(X_178,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| r1(X_178,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_178)),bind(Y,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))),bind(Z,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_16,plain,
( ~ r1(X_178,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| r1(X_178,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) )],[refute_0_13,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_16:[bind(X_178,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_18,plain,
r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) )],[refute_0_10,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_20,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| ~ r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))),bind(Y,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_21,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(skolemFOFtoCNF_Y_2(X),'skolemFOFtoCNF_X\''(X)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_23,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_24,plain,
r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ r1(X_178,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| r1(X_178,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_178)),bind(Y,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))),bind(Z,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_26,plain,
( ~ r1(X_178,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| r1(X_178,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y),'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_26:[bind(X_178,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_28,plain,
r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) )],[refute_0_4,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) )],[refute_0_28,refute_0_21]) ).
cnf(refute_0_30,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_31,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))
| p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_30:[bind(X,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_32,plain,
( p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)) )],[refute_0_4,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ p2(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p1(Y) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_34,plain,
( ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| ~ r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_33:[bind(X,$fot('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))),bind(Y,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_35,plain,
( ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y))
| p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1('skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) )],[refute_0_18,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y)))
| p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,'skolemFOFtoCNF_X\''(skolemFOFtoCNF_Y)) )],[refute_0_28,refute_0_35]) ).
cnf(refute_0_37,plain,
p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) )],[refute_0_32,refute_0_36]) ).
cnf(refute_0_38,plain,
p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) )],[refute_0_37,refute_0_29]) ).
cnf(refute_0_39,plain,
~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) )],[refute_0_38,refute_0_7]) ).
cnf(refute_0_40,plain,
$false,
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y))) )],[refute_0_37,refute_0_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 6 00:31:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 25.23/25.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.23/25.55
% 25.23/25.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 26.33/26.61
%------------------------------------------------------------------------------