%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 : Thu Sep 24 01:08:36 PM UTC 2026
% Result : Theorem 1.06s 0.55s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 5 unt; 1 def)
% Number of atoms : 2704 ( 0 equ)
% Maximal formula atoms : 440 ( 84 avg)
% Number of connectives : 4294 (1622 ~;1436 |;1235 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 185 ( 31 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 49 ( 47 usr; 3 prp; 0-2 aty)
% Number of functors : 49 ( 49 usr; 4 con; 0-1 aty)
% Number of variables : 534 ( 385 !; 149 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( ~ ( ! [Y] :
( ( p1(Y)
& p2(Y) )
| ( ~ p2(Y)
& ~ p1(Y) )
| ( p2(Y)
& p3(Y) )
| ( ~ p3(Y)
& ~ p2(Y) )
| ( p3(Y)
& p4(Y) )
| ( ~ p4(Y)
& ~ p3(Y) )
| ( p4(Y)
& p5(Y) )
| ( ~ p5(Y)
& ~ p4(Y) )
| ( p5(Y)
& p6(Y) )
| ( ~ p6(Y)
& ~ p5(Y) )
| ( p6(Y)
& p7(Y) )
| ( ~ p7(Y)
& ~ p6(Y) )
| ( p7(Y)
& p8(Y) )
| ( ~ p8(Y)
& ~ p7(Y) )
| ( p8(Y)
& p9(Y) )
| ( ~ p9(Y)
& ~ p8(Y) )
| ( p9(Y)
& p10(Y) )
| ( ~ p10(Y)
& ~ p9(Y) )
| ( p10(Y)
& p11(Y) )
| ( ~ p11(Y)
& ~ p10(Y) )
| ( p11(Y)
& p12(Y) )
| ( ~ p12(Y)
& ~ p11(Y) )
| ( p12(Y)
& p13(Y) )
| ( ~ p13(Y)
& ~ p12(Y) )
| ( p13(Y)
& p14(Y) )
| ( ~ p14(Y)
& ~ p13(Y) )
| ( p14(Y)
& p15(Y) )
| ( ~ p15(Y)
& ~ p14(Y) )
| ( p15(Y)
& p16(Y) )
| ( ~ p16(Y)
& ~ p15(Y) )
| ( p16(Y)
& p17(Y) )
| ( ~ p17(Y)
& ~ p16(Y) )
| ( p17(Y)
& p18(Y) )
| ( ~ p18(Y)
& ~ p17(Y) )
| ( p18(Y)
& p19(Y) )
| ( ~ p19(Y)
& ~ p18(Y) )
| ( p19(Y)
& p20(Y) )
| ( ~ p20(Y)
& ~ p19(Y) )
| ( p20(Y)
& p21(Y) )
| ( ~ p21(Y)
& ~ p20(Y) )
| ( p21(Y)
& p22(Y) )
| ( ~ p22(Y)
& ~ p21(Y) )
| ( p22(Y)
& p23(Y) )
| ( ~ p23(Y)
& ~ p22(Y) )
| ( p23(Y)
& p24(Y) )
| ( ~ p24(Y)
& ~ p23(Y) )
| ( p24(Y)
& p25(Y) )
| ( ~ p25(Y)
& ~ p24(Y) )
| ( p25(Y)
& p26(Y) )
| ( ~ p26(Y)
& ~ p25(Y) )
| ( p26(Y)
& p27(Y) )
| ( ~ p27(Y)
& ~ p26(Y) )
| ( p27(Y)
& p28(Y) )
| ( ~ p28(Y)
& ~ p27(Y) )
| ( p28(Y)
& p29(Y) )
| ( ~ p29(Y)
& ~ p28(Y) )
| ( p29(Y)
& p30(Y) )
| ( ~ p30(Y)
& ~ p29(Y) )
| ( p30(Y)
& p31(Y) )
| ( ~ p31(Y)
& ~ p30(Y) )
| ( p31(Y)
& p32(Y) )
| ( ~ p32(Y)
& ~ p31(Y) )
| ( p32(Y)
& p33(Y) )
| ( ~ p33(Y)
& ~ p32(Y) )
| ( p33(Y)
& p34(Y) )
| ( ~ p34(Y)
& ~ p33(Y) )
| ( p34(Y)
& p35(Y) )
| ( ~ p35(Y)
& ~ p34(Y) )
| ( p35(Y)
& p36(Y) )
| ( ~ p36(Y)
& ~ p35(Y) )
| ( p36(Y)
& p37(Y) )
| ( ~ p37(Y)
& ~ p36(Y) )
| ( p37(Y)
& p38(Y) )
| ( ~ p38(Y)
& ~ p37(Y) )
| ( p38(Y)
& p39(Y) )
| ( ~ p39(Y)
& ~ p38(Y) )
| ( p39(Y)
& p40(Y) )
| ( ~ p40(Y)
& ~ p39(Y) )
| ( p40(Y)
& p41(Y) )
| ( ~ p41(Y)
& ~ p40(Y) )
| ( p41(Y)
& p42(Y) )
| ( ~ p42(Y)
& ~ p41(Y) )
| ( p42(Y)
& p43(Y) )
| ( ~ p43(Y)
& ~ p42(Y) )
| ( p43(Y)
& p44(Y) )
| ( ~ p44(Y)
& ~ p43(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p45(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p1(Y)
& ~ p2(Y) )
| ( ~ p1(Y)
& p2(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p2(X)
& ~ p3(X) )
| ( ~ p2(X)
& p3(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p3(Y)
& ~ p4(Y) )
| ( ~ p3(Y)
& p4(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p4(X)
& ~ p5(X) )
| ( ~ p4(X)
& p5(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p5(Y)
& ~ p6(Y) )
| ( ~ p5(Y)
& p6(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p6(X)
& ~ p7(X) )
| ( ~ p6(X)
& p7(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p7(Y)
& ~ p8(Y) )
| ( ~ p7(Y)
& p8(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p8(X)
& ~ p9(X) )
| ( ~ p8(X)
& p9(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p9(Y)
& ~ p10(Y) )
| ( ~ p9(Y)
& p10(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p10(X)
& ~ p11(X) )
| ( ~ p10(X)
& p11(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p11(Y)
& ~ p12(Y) )
| ( ~ p11(Y)
& p12(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p12(X)
& ~ p13(X) )
| ( ~ p12(X)
& p13(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p13(Y)
& ~ p14(Y) )
| ( ~ p13(Y)
& p14(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p14(X)
& ~ p15(X) )
| ( ~ p14(X)
& p15(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p15(Y)
& ~ p16(Y) )
| ( ~ p15(Y)
& p16(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p16(X)
& ~ p17(X) )
| ( ~ p16(X)
& p17(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p17(Y)
& ~ p18(Y) )
| ( ~ p17(Y)
& p18(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p18(X)
& ~ p19(X) )
| ( ~ p18(X)
& p19(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p19(Y)
& ~ p20(Y) )
| ( ~ p19(Y)
& p20(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p20(X)
& ~ p21(X) )
| ( ~ p20(X)
& p21(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p21(Y)
& ~ p22(Y) )
| ( ~ p21(Y)
& p22(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p22(X)
& ~ p23(X) )
| ( ~ p22(X)
& p23(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p23(Y)
& ~ p24(Y) )
| ( ~ p23(Y)
& p24(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p24(X)
& ~ p25(X) )
| ( ~ p24(X)
& p25(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p25(Y)
& ~ p26(Y) )
| ( ~ p25(Y)
& p26(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p26(X)
& ~ p27(X) )
| ( ~ p26(X)
& p27(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p27(Y)
& ~ p28(Y) )
| ( ~ p27(Y)
& p28(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p28(X)
& ~ p29(X) )
| ( ~ p28(X)
& p29(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p29(Y)
& ~ p30(Y) )
| ( ~ p29(Y)
& p30(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p30(X)
& ~ p31(X) )
| ( ~ p30(X)
& p31(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p31(Y)
& ~ p32(Y) )
| ( ~ p31(Y)
& p32(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p32(X)
& ~ p33(X) )
| ( ~ p32(X)
& p33(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p33(Y)
& ~ p34(Y) )
| ( ~ p33(Y)
& p34(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p34(X)
& ~ p35(X) )
| ( ~ p34(X)
& p35(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p35(Y)
& ~ p36(Y) )
| ( ~ p35(Y)
& p36(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p36(X)
& ~ p37(X) )
| ( ~ p36(X)
& p37(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p37(Y)
& ~ p38(Y) )
| ( ~ p37(Y)
& p38(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p38(X)
& ~ p39(X) )
| ( ~ p38(X)
& p39(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p39(Y)
& ~ p40(Y) )
| ( ~ p39(Y)
& p40(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p40(X)
& ~ p41(X) )
| ( ~ p40(X)
& p41(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p41(Y)
& ~ p42(Y) )
| ( ~ p41(Y)
& p42(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p42(X)
& ~ p43(X) )
| ( ~ p42(X)
& p43(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p43(Y)
& ~ p44(Y) )
| ( ~ p43(Y)
& p44(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( $false
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ p45(Y)
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( ~ ( ! [Y] :
( ( p1(Y)
& p2(Y) )
| ( ~ p2(Y)
& ~ p1(Y) )
| ( p2(Y)
& p3(Y) )
| ( ~ p3(Y)
& ~ p2(Y) )
| ( p3(Y)
& p4(Y) )
| ( ~ p4(Y)
& ~ p3(Y) )
| ( p4(Y)
& p5(Y) )
| ( ~ p5(Y)
& ~ p4(Y) )
| ( p5(Y)
& p6(Y) )
| ( ~ p6(Y)
& ~ p5(Y) )
| ( p6(Y)
& p7(Y) )
| ( ~ p7(Y)
& ~ p6(Y) )
| ( p7(Y)
& p8(Y) )
| ( ~ p8(Y)
& ~ p7(Y) )
| ( p8(Y)
& p9(Y) )
| ( ~ p9(Y)
& ~ p8(Y) )
| ( p9(Y)
& p10(Y) )
| ( ~ p10(Y)
& ~ p9(Y) )
| ( p10(Y)
& p11(Y) )
| ( ~ p11(Y)
& ~ p10(Y) )
| ( p11(Y)
& p12(Y) )
| ( ~ p12(Y)
& ~ p11(Y) )
| ( p12(Y)
& p13(Y) )
| ( ~ p13(Y)
& ~ p12(Y) )
| ( p13(Y)
& p14(Y) )
| ( ~ p14(Y)
& ~ p13(Y) )
| ( p14(Y)
& p15(Y) )
| ( ~ p15(Y)
& ~ p14(Y) )
| ( p15(Y)
& p16(Y) )
| ( ~ p16(Y)
& ~ p15(Y) )
| ( p16(Y)
& p17(Y) )
| ( ~ p17(Y)
& ~ p16(Y) )
| ( p17(Y)
& p18(Y) )
| ( ~ p18(Y)
& ~ p17(Y) )
| ( p18(Y)
& p19(Y) )
| ( ~ p19(Y)
& ~ p18(Y) )
| ( p19(Y)
& p20(Y) )
| ( ~ p20(Y)
& ~ p19(Y) )
| ( p20(Y)
& p21(Y) )
| ( ~ p21(Y)
& ~ p20(Y) )
| ( p21(Y)
& p22(Y) )
| ( ~ p22(Y)
& ~ p21(Y) )
| ( p22(Y)
& p23(Y) )
| ( ~ p23(Y)
& ~ p22(Y) )
| ( p23(Y)
& p24(Y) )
| ( ~ p24(Y)
& ~ p23(Y) )
| ( p24(Y)
& p25(Y) )
| ( ~ p25(Y)
& ~ p24(Y) )
| ( p25(Y)
& p26(Y) )
| ( ~ p26(Y)
& ~ p25(Y) )
| ( p26(Y)
& p27(Y) )
| ( ~ p27(Y)
& ~ p26(Y) )
| ( p27(Y)
& p28(Y) )
| ( ~ p28(Y)
& ~ p27(Y) )
| ( p28(Y)
& p29(Y) )
| ( ~ p29(Y)
& ~ p28(Y) )
| ( p29(Y)
& p30(Y) )
| ( ~ p30(Y)
& ~ p29(Y) )
| ( p30(Y)
& p31(Y) )
| ( ~ p31(Y)
& ~ p30(Y) )
| ( p31(Y)
& p32(Y) )
| ( ~ p32(Y)
& ~ p31(Y) )
| ( p32(Y)
& p33(Y) )
| ( ~ p33(Y)
& ~ p32(Y) )
| ( p33(Y)
& p34(Y) )
| ( ~ p34(Y)
& ~ p33(Y) )
| ( p34(Y)
& p35(Y) )
| ( ~ p35(Y)
& ~ p34(Y) )
| ( p35(Y)
& p36(Y) )
| ( ~ p36(Y)
& ~ p35(Y) )
| ( p36(Y)
& p37(Y) )
| ( ~ p37(Y)
& ~ p36(Y) )
| ( p37(Y)
& p38(Y) )
| ( ~ p38(Y)
& ~ p37(Y) )
| ( p38(Y)
& p39(Y) )
| ( ~ p39(Y)
& ~ p38(Y) )
| ( p39(Y)
& p40(Y) )
| ( ~ p40(Y)
& ~ p39(Y) )
| ( p40(Y)
& p41(Y) )
| ( ~ p41(Y)
& ~ p40(Y) )
| ( p41(Y)
& p42(Y) )
| ( ~ p42(Y)
& ~ p41(Y) )
| ( p42(Y)
& p43(Y) )
| ( ~ p43(Y)
& ~ p42(Y) )
| ( p43(Y)
& p44(Y) )
| ( ~ p44(Y)
& ~ p43(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p45(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p1(Y)
& ~ p2(Y) )
| ( ~ p1(Y)
& p2(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p2(X)
& ~ p3(X) )
| ( ~ p2(X)
& p3(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p3(Y)
& ~ p4(Y) )
| ( ~ p3(Y)
& p4(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p4(X)
& ~ p5(X) )
| ( ~ p4(X)
& p5(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p5(Y)
& ~ p6(Y) )
| ( ~ p5(Y)
& p6(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p6(X)
& ~ p7(X) )
| ( ~ p6(X)
& p7(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p7(Y)
& ~ p8(Y) )
| ( ~ p7(Y)
& p8(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p8(X)
& ~ p9(X) )
| ( ~ p8(X)
& p9(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p9(Y)
& ~ p10(Y) )
| ( ~ p9(Y)
& p10(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p10(X)
& ~ p11(X) )
| ( ~ p10(X)
& p11(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p11(Y)
& ~ p12(Y) )
| ( ~ p11(Y)
& p12(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p12(X)
& ~ p13(X) )
| ( ~ p12(X)
& p13(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p13(Y)
& ~ p14(Y) )
| ( ~ p13(Y)
& p14(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p14(X)
& ~ p15(X) )
| ( ~ p14(X)
& p15(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p15(Y)
& ~ p16(Y) )
| ( ~ p15(Y)
& p16(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p16(X)
& ~ p17(X) )
| ( ~ p16(X)
& p17(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p17(Y)
& ~ p18(Y) )
| ( ~ p17(Y)
& p18(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p18(X)
& ~ p19(X) )
| ( ~ p18(X)
& p19(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p19(Y)
& ~ p20(Y) )
| ( ~ p19(Y)
& p20(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p20(X)
& ~ p21(X) )
| ( ~ p20(X)
& p21(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p21(Y)
& ~ p22(Y) )
| ( ~ p21(Y)
& p22(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p22(X)
& ~ p23(X) )
| ( ~ p22(X)
& p23(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p23(Y)
& ~ p24(Y) )
| ( ~ p23(Y)
& p24(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p24(X)
& ~ p25(X) )
| ( ~ p24(X)
& p25(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p25(Y)
& ~ p26(Y) )
| ( ~ p25(Y)
& p26(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p26(X)
& ~ p27(X) )
| ( ~ p26(X)
& p27(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p27(Y)
& ~ p28(Y) )
| ( ~ p27(Y)
& p28(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p28(X)
& ~ p29(X) )
| ( ~ p28(X)
& p29(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p29(Y)
& ~ p30(Y) )
| ( ~ p29(Y)
& p30(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p30(X)
& ~ p31(X) )
| ( ~ p30(X)
& p31(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p31(Y)
& ~ p32(Y) )
| ( ~ p31(Y)
& p32(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p32(X)
& ~ p33(X) )
| ( ~ p32(X)
& p33(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p33(Y)
& ~ p34(Y) )
| ( ~ p33(Y)
& p34(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p34(X)
& ~ p35(X) )
| ( ~ p34(X)
& p35(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p35(Y)
& ~ p36(Y) )
| ( ~ p35(Y)
& p36(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p36(X)
& ~ p37(X) )
| ( ~ p36(X)
& p37(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p37(Y)
& ~ p38(Y) )
| ( ~ p37(Y)
& p38(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p38(X)
& ~ p39(X) )
| ( ~ p38(X)
& p39(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p39(Y)
& ~ p40(Y) )
| ( ~ p39(Y)
& p40(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p40(X)
& ~ p41(X) )
| ( ~ p40(X)
& p41(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p41(Y)
& ~ p42(Y) )
| ( ~ p41(Y)
& p42(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p42(X)
& ~ p43(X) )
| ( ~ p42(X)
& p43(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p43(Y)
& ~ p44(Y) )
| ( ~ p43(Y)
& p44(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( $false
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ p45(Y)
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
? [X] :
( ? [Y] :
( ! [X] :
( ( ? [Y] :
( ( ~ p1(Y)
| ~ p2(Y) )
& ( p2(Y)
| p1(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( p3(Y)
| p2(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( p4(Y)
| p3(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( p5(Y)
| p4(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( p6(Y)
| p5(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( p7(Y)
| p6(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( p8(Y)
| p7(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p9(Y)
| p8(Y) )
& ( ~ p9(Y)
| ~ p10(Y) )
& ( p10(Y)
| p9(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( p11(Y)
| p10(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( p12(Y)
| p11(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( p13(Y)
| p12(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( p14(Y)
| p13(Y) )
& ( ~ p14(Y)
| ~ p15(Y) )
& ( p15(Y)
| p14(Y) )
& ( ~ p15(Y)
| ~ p16(Y) )
& ( p16(Y)
| p15(Y) )
& ( ~ p16(Y)
| ~ p17(Y) )
& ( p17(Y)
| p16(Y) )
& ( ~ p17(Y)
| ~ p18(Y) )
& ( p18(Y)
| p17(Y) )
& ( ~ p18(Y)
| ~ p19(Y) )
& ( p19(Y)
| p18(Y) )
& ( ~ p19(Y)
| ~ p20(Y) )
& ( p20(Y)
| p19(Y) )
& ( ~ p20(Y)
| ~ p21(Y) )
& ( p21(Y)
| p20(Y) )
& ( ~ p21(Y)
| ~ p22(Y) )
& ( p22(Y)
| p21(Y) )
& ( ~ p22(Y)
| ~ p23(Y) )
& ( p23(Y)
| p22(Y) )
& ( ~ p23(Y)
| ~ p24(Y) )
& ( p24(Y)
| p23(Y) )
& ( ~ p24(Y)
| ~ p25(Y) )
& ( p25(Y)
| p24(Y) )
& ( ~ p25(Y)
| ~ p26(Y) )
& ( p26(Y)
| p25(Y) )
& ( ~ p26(Y)
| ~ p27(Y) )
& ( p27(Y)
| p26(Y) )
& ( ~ p27(Y)
| ~ p28(Y) )
& ( p28(Y)
| p27(Y) )
& ( ~ p28(Y)
| ~ p29(Y) )
& ( p29(Y)
| p28(Y) )
& ( ~ p29(Y)
| ~ p30(Y) )
& ( p30(Y)
| p29(Y) )
& ( ~ p30(Y)
| ~ p31(Y) )
& ( p31(Y)
| p30(Y) )
& ( ~ p31(Y)
| ~ p32(Y) )
& ( p32(Y)
| p31(Y) )
& ( ~ p32(Y)
| ~ p33(Y) )
& ( p33(Y)
| p32(Y) )
& ( ~ p33(Y)
| ~ p34(Y) )
& ( p34(Y)
| p33(Y) )
& ( ~ p34(Y)
| ~ p35(Y) )
& ( p35(Y)
| p34(Y) )
& ( ~ p35(Y)
| ~ p36(Y) )
& ( p36(Y)
| p35(Y) )
& ( ~ p36(Y)
| ~ p37(Y) )
& ( p37(Y)
| p36(Y) )
& ( ~ p37(Y)
| ~ p38(Y) )
& ( p38(Y)
| p37(Y) )
& ( ~ p38(Y)
| ~ p39(Y) )
& ( p39(Y)
| p38(Y) )
& ( ~ p39(Y)
| ~ p40(Y) )
& ( p40(Y)
| p39(Y) )
& ( ~ p40(Y)
| ~ p41(Y) )
& ( p41(Y)
| p40(Y) )
& ( ~ p41(Y)
| ~ p42(Y) )
& ( p42(Y)
| p41(Y) )
& ( ~ p42(Y)
| ~ p43(Y) )
& ( p43(Y)
| p42(Y) )
& ( ~ p43(Y)
| ~ p44(Y) )
& ( p44(Y)
| p43(Y) )
& r1(X,Y) )
& ? [Y] :
( ~ p45(Y)
& r1(X,Y) )
& ! [Y] :
( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p14(X)
| p15(X) )
& ( p14(X)
| ~ p15(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p15(Y)
| p16(Y) )
& ( p15(Y)
| ~ p16(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p16(X)
| p17(X) )
& ( p16(X)
| ~ p17(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p17(Y)
| p18(Y) )
& ( p17(Y)
| ~ p18(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p18(X)
| p19(X) )
& ( p18(X)
| ~ p19(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p19(Y)
| p20(Y) )
& ( p19(Y)
| ~ p20(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p20(X)
| p21(X) )
& ( p20(X)
| ~ p21(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p21(Y)
| p22(Y) )
& ( p21(Y)
| ~ p22(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p22(X)
| p23(X) )
& ( p22(X)
| ~ p23(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p23(Y)
| p24(Y) )
& ( p23(Y)
| ~ p24(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p24(X)
| p25(X) )
& ( p24(X)
| ~ p25(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p25(Y)
| p26(Y) )
& ( p25(Y)
| ~ p26(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p26(X)
| p27(X) )
& ( p26(X)
| ~ p27(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p27(Y)
| p28(Y) )
& ( p27(Y)
| ~ p28(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p28(X)
| p29(X) )
& ( p28(X)
| ~ p29(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p29(Y)
| p30(Y) )
& ( p29(Y)
| ~ p30(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p30(X)
| p31(X) )
& ( p30(X)
| ~ p31(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p31(Y)
| p32(Y) )
& ( p31(Y)
| ~ p32(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p32(X)
| p33(X) )
& ( p32(X)
| ~ p33(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p33(Y)
| p34(Y) )
& ( p33(Y)
| ~ p34(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p34(X)
| p35(X) )
& ( p34(X)
| ~ p35(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p35(Y)
| p36(Y) )
& ( p35(Y)
| ~ p36(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p36(X)
| p37(X) )
& ( p36(X)
| ~ p37(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p37(Y)
| p38(Y) )
& ( p37(Y)
| ~ p38(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p38(X)
| p39(X) )
& ( p38(X)
| ~ p39(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p39(Y)
| p40(Y) )
& ( p39(Y)
| ~ p40(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p40(X)
| p41(X) )
& ( p40(X)
| ~ p41(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p41(Y)
| p42(Y) )
& ( p41(Y)
| ~ p42(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p42(X)
| p43(X) )
& ( p42(X)
| ~ p43(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p43(Y)
| p44(Y) )
& ( p43(Y)
| ~ p44(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( $true
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) ) )
| ~ r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( p1(X)
& r1(Y,X) )
& p45(Y)
& r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
? [X] :
( ? [Y] :
( ! [X] :
( ( ? [Y] :
( ( ~ p1(Y)
| ~ p2(Y) )
& ( p2(Y)
| p1(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( p3(Y)
| p2(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( p4(Y)
| p3(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( p5(Y)
| p4(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( p6(Y)
| p5(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( p7(Y)
| p6(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( p8(Y)
| p7(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p9(Y)
| p8(Y) )
& ( ~ p9(Y)
| ~ p10(Y) )
& ( p10(Y)
| p9(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( p11(Y)
| p10(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( p12(Y)
| p11(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( p13(Y)
| p12(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( p14(Y)
| p13(Y) )
& ( ~ p14(Y)
| ~ p15(Y) )
& ( p15(Y)
| p14(Y) )
& ( ~ p15(Y)
| ~ p16(Y) )
& ( p16(Y)
| p15(Y) )
& ( ~ p16(Y)
| ~ p17(Y) )
& ( p17(Y)
| p16(Y) )
& ( ~ p17(Y)
| ~ p18(Y) )
& ( p18(Y)
| p17(Y) )
& ( ~ p18(Y)
| ~ p19(Y) )
& ( p19(Y)
| p18(Y) )
& ( ~ p19(Y)
| ~ p20(Y) )
& ( p20(Y)
| p19(Y) )
& ( ~ p20(Y)
| ~ p21(Y) )
& ( p21(Y)
| p20(Y) )
& ( ~ p21(Y)
| ~ p22(Y) )
& ( p22(Y)
| p21(Y) )
& ( ~ p22(Y)
| ~ p23(Y) )
& ( p23(Y)
| p22(Y) )
& ( ~ p23(Y)
| ~ p24(Y) )
& ( p24(Y)
| p23(Y) )
& ( ~ p24(Y)
| ~ p25(Y) )
& ( p25(Y)
| p24(Y) )
& ( ~ p25(Y)
| ~ p26(Y) )
& ( p26(Y)
| p25(Y) )
& ( ~ p26(Y)
| ~ p27(Y) )
& ( p27(Y)
| p26(Y) )
& ( ~ p27(Y)
| ~ p28(Y) )
& ( p28(Y)
| p27(Y) )
& ( ~ p28(Y)
| ~ p29(Y) )
& ( p29(Y)
| p28(Y) )
& ( ~ p29(Y)
| ~ p30(Y) )
& ( p30(Y)
| p29(Y) )
& ( ~ p30(Y)
| ~ p31(Y) )
& ( p31(Y)
| p30(Y) )
& ( ~ p31(Y)
| ~ p32(Y) )
& ( p32(Y)
| p31(Y) )
& ( ~ p32(Y)
| ~ p33(Y) )
& ( p33(Y)
| p32(Y) )
& ( ~ p33(Y)
| ~ p34(Y) )
& ( p34(Y)
| p33(Y) )
& ( ~ p34(Y)
| ~ p35(Y) )
& ( p35(Y)
| p34(Y) )
& ( ~ p35(Y)
| ~ p36(Y) )
& ( p36(Y)
| p35(Y) )
& ( ~ p36(Y)
| ~ p37(Y) )
& ( p37(Y)
| p36(Y) )
& ( ~ p37(Y)
| ~ p38(Y) )
& ( p38(Y)
| p37(Y) )
& ( ~ p38(Y)
| ~ p39(Y) )
& ( p39(Y)
| p38(Y) )
& ( ~ p39(Y)
| ~ p40(Y) )
& ( p40(Y)
| p39(Y) )
& ( ~ p40(Y)
| ~ p41(Y) )
& ( p41(Y)
| p40(Y) )
& ( ~ p41(Y)
| ~ p42(Y) )
& ( p42(Y)
| p41(Y) )
& ( ~ p42(Y)
| ~ p43(Y) )
& ( p43(Y)
| p42(Y) )
& ( ~ p43(Y)
| ~ p44(Y) )
& ( p44(Y)
| p43(Y) )
& r1(X,Y) )
& ? [Y] :
( ~ p45(Y)
& r1(X,Y) )
& ! [Y] :
( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p14(X)
| p15(X) )
& ( p14(X)
| ~ p15(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p15(Y)
| p16(Y) )
& ( p15(Y)
| ~ p16(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p16(X)
| p17(X) )
& ( p16(X)
| ~ p17(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p17(Y)
| p18(Y) )
& ( p17(Y)
| ~ p18(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p18(X)
| p19(X) )
& ( p18(X)
| ~ p19(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p19(Y)
| p20(Y) )
& ( p19(Y)
| ~ p20(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p20(X)
| p21(X) )
& ( p20(X)
| ~ p21(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p21(Y)
| p22(Y) )
& ( p21(Y)
| ~ p22(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p22(X)
| p23(X) )
& ( p22(X)
| ~ p23(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p23(Y)
| p24(Y) )
& ( p23(Y)
| ~ p24(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p24(X)
| p25(X) )
& ( p24(X)
| ~ p25(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p25(Y)
| p26(Y) )
& ( p25(Y)
| ~ p26(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p26(X)
| p27(X) )
& ( p26(X)
| ~ p27(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p27(Y)
| p28(Y) )
& ( p27(Y)
| ~ p28(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p28(X)
| p29(X) )
& ( p28(X)
| ~ p29(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p29(Y)
| p30(Y) )
& ( p29(Y)
| ~ p30(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p30(X)
| p31(X) )
& ( p30(X)
| ~ p31(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p31(Y)
| p32(Y) )
& ( p31(Y)
| ~ p32(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p32(X)
| p33(X) )
& ( p32(X)
| ~ p33(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p33(Y)
| p34(Y) )
& ( p33(Y)
| ~ p34(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p34(X)
| p35(X) )
& ( p34(X)
| ~ p35(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p35(Y)
| p36(Y) )
& ( p35(Y)
| ~ p36(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p36(X)
| p37(X) )
& ( p36(X)
| ~ p37(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p37(Y)
| p38(Y) )
& ( p37(Y)
| ~ p38(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p38(X)
| p39(X) )
& ( p38(X)
| ~ p39(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p39(Y)
| p40(Y) )
& ( p39(Y)
| ~ p40(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p40(X)
| p41(X) )
& ( p40(X)
| ~ p41(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p41(Y)
| p42(Y) )
& ( p41(Y)
| ~ p42(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p42(X)
| p43(X) )
& ( p42(X)
| ~ p43(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p43(Y)
| p44(Y) )
& ( p43(Y)
| ~ p44(Y) ) )
| ~ r1(X,Y) )
& $true
& ? [Y] : r1(X,Y)
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) ) )
| ~ r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( p1(X)
& r1(Y,X) )
& p45(Y)
& r1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f11,plain,
( ! [X] :
( ( ( ~ p1(sK48_skl(X))
| ~ p2(sK48_skl(X)) )
& ( p2(sK48_skl(X))
| p1(sK48_skl(X)) )
& ( ~ p2(sK48_skl(X))
| ~ p3(sK48_skl(X)) )
& ( p3(sK48_skl(X))
| p2(sK48_skl(X)) )
& ( ~ p3(sK48_skl(X))
| ~ p4(sK48_skl(X)) )
& ( p4(sK48_skl(X))
| p3(sK48_skl(X)) )
& ( ~ p4(sK48_skl(X))
| ~ p5(sK48_skl(X)) )
& ( p5(sK48_skl(X))
| p4(sK48_skl(X)) )
& ( ~ p5(sK48_skl(X))
| ~ p6(sK48_skl(X)) )
& ( p6(sK48_skl(X))
| p5(sK48_skl(X)) )
& ( ~ p6(sK48_skl(X))
| ~ p7(sK48_skl(X)) )
& ( p7(sK48_skl(X))
| p6(sK48_skl(X)) )
& ( ~ p7(sK48_skl(X))
| ~ p8(sK48_skl(X)) )
& ( p8(sK48_skl(X))
| p7(sK48_skl(X)) )
& ( ~ p8(sK48_skl(X))
| ~ p9(sK48_skl(X)) )
& ( p9(sK48_skl(X))
| p8(sK48_skl(X)) )
& ( ~ p9(sK48_skl(X))
| ~ p10(sK48_skl(X)) )
& ( p10(sK48_skl(X))
| p9(sK48_skl(X)) )
& ( ~ p10(sK48_skl(X))
| ~ p11(sK48_skl(X)) )
& ( p11(sK48_skl(X))
| p10(sK48_skl(X)) )
& ( ~ p11(sK48_skl(X))
| ~ p12(sK48_skl(X)) )
& ( p12(sK48_skl(X))
| p11(sK48_skl(X)) )
& ( ~ p12(sK48_skl(X))
| ~ p13(sK48_skl(X)) )
& ( p13(sK48_skl(X))
| p12(sK48_skl(X)) )
& ( ~ p13(sK48_skl(X))
| ~ p14(sK48_skl(X)) )
& ( p14(sK48_skl(X))
| p13(sK48_skl(X)) )
& ( ~ p14(sK48_skl(X))
| ~ p15(sK48_skl(X)) )
& ( p15(sK48_skl(X))
| p14(sK48_skl(X)) )
& ( ~ p15(sK48_skl(X))
| ~ p16(sK48_skl(X)) )
& ( p16(sK48_skl(X))
| p15(sK48_skl(X)) )
& ( ~ p16(sK48_skl(X))
| ~ p17(sK48_skl(X)) )
& ( p17(sK48_skl(X))
| p16(sK48_skl(X)) )
& ( ~ p17(sK48_skl(X))
| ~ p18(sK48_skl(X)) )
& ( p18(sK48_skl(X))
| p17(sK48_skl(X)) )
& ( ~ p18(sK48_skl(X))
| ~ p19(sK48_skl(X)) )
& ( p19(sK48_skl(X))
| p18(sK48_skl(X)) )
& ( ~ p19(sK48_skl(X))
| ~ p20(sK48_skl(X)) )
& ( p20(sK48_skl(X))
| p19(sK48_skl(X)) )
& ( ~ p20(sK48_skl(X))
| ~ p21(sK48_skl(X)) )
& ( p21(sK48_skl(X))
| p20(sK48_skl(X)) )
& ( ~ p21(sK48_skl(X))
| ~ p22(sK48_skl(X)) )
& ( p22(sK48_skl(X))
| p21(sK48_skl(X)) )
& ( ~ p22(sK48_skl(X))
| ~ p23(sK48_skl(X)) )
& ( p23(sK48_skl(X))
| p22(sK48_skl(X)) )
& ( ~ p23(sK48_skl(X))
| ~ p24(sK48_skl(X)) )
& ( p24(sK48_skl(X))
| p23(sK48_skl(X)) )
& ( ~ p24(sK48_skl(X))
| ~ p25(sK48_skl(X)) )
& ( p25(sK48_skl(X))
| p24(sK48_skl(X)) )
& ( ~ p25(sK48_skl(X))
| ~ p26(sK48_skl(X)) )
& ( p26(sK48_skl(X))
| p25(sK48_skl(X)) )
& ( ~ p26(sK48_skl(X))
| ~ p27(sK48_skl(X)) )
& ( p27(sK48_skl(X))
| p26(sK48_skl(X)) )
& ( ~ p27(sK48_skl(X))
| ~ p28(sK48_skl(X)) )
& ( p28(sK48_skl(X))
| p27(sK48_skl(X)) )
& ( ~ p28(sK48_skl(X))
| ~ p29(sK48_skl(X)) )
& ( p29(sK48_skl(X))
| p28(sK48_skl(X)) )
& ( ~ p29(sK48_skl(X))
| ~ p30(sK48_skl(X)) )
& ( p30(sK48_skl(X))
| p29(sK48_skl(X)) )
& ( ~ p30(sK48_skl(X))
| ~ p31(sK48_skl(X)) )
& ( p31(sK48_skl(X))
| p30(sK48_skl(X)) )
& ( ~ p31(sK48_skl(X))
| ~ p32(sK48_skl(X)) )
& ( p32(sK48_skl(X))
| p31(sK48_skl(X)) )
& ( ~ p32(sK48_skl(X))
| ~ p33(sK48_skl(X)) )
& ( p33(sK48_skl(X))
| p32(sK48_skl(X)) )
& ( ~ p33(sK48_skl(X))
| ~ p34(sK48_skl(X)) )
& ( p34(sK48_skl(X))
| p33(sK48_skl(X)) )
& ( ~ p34(sK48_skl(X))
| ~ p35(sK48_skl(X)) )
& ( p35(sK48_skl(X))
| p34(sK48_skl(X)) )
& ( ~ p35(sK48_skl(X))
| ~ p36(sK48_skl(X)) )
& ( p36(sK48_skl(X))
| p35(sK48_skl(X)) )
& ( ~ p36(sK48_skl(X))
| ~ p37(sK48_skl(X)) )
& ( p37(sK48_skl(X))
| p36(sK48_skl(X)) )
& ( ~ p37(sK48_skl(X))
| ~ p38(sK48_skl(X)) )
& ( p38(sK48_skl(X))
| p37(sK48_skl(X)) )
& ( ~ p38(sK48_skl(X))
| ~ p39(sK48_skl(X)) )
& ( p39(sK48_skl(X))
| p38(sK48_skl(X)) )
& ( ~ p39(sK48_skl(X))
| ~ p40(sK48_skl(X)) )
& ( p40(sK48_skl(X))
| p39(sK48_skl(X)) )
& ( ~ p40(sK48_skl(X))
| ~ p41(sK48_skl(X)) )
& ( p41(sK48_skl(X))
| p40(sK48_skl(X)) )
& ( ~ p41(sK48_skl(X))
| ~ p42(sK48_skl(X)) )
& ( p42(sK48_skl(X))
| p41(sK48_skl(X)) )
& ( ~ p42(sK48_skl(X))
| ~ p43(sK48_skl(X)) )
& ( p43(sK48_skl(X))
| p42(sK48_skl(X)) )
& ( ~ p43(sK48_skl(X))
| ~ p44(sK48_skl(X)) )
& ( p44(sK48_skl(X))
| p43(sK48_skl(X)) )
& r1(X,sK48_skl(X))
& ~ p45(sK47_skl(X))
& r1(X,sK47_skl(X))
& ! [Y] :
( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ! [X] :
( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(sK4_skl(X),X) )
& ! [Y] :
( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(sK5_skl(X),Y) )
& ! [X] :
( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(sK6_skl(X),X) )
& ! [Y] :
( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(sK7_skl(X),Y) )
& ! [X] :
( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(sK8_skl(X),X) )
& ! [Y] :
( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(sK9_skl(X),Y) )
& ! [X] :
( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(sK10_skl(X),X) )
& ! [Y] :
( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(sK11_skl(X),Y) )
& ! [X] :
( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(sK12_skl(X),X) )
& ! [Y] :
( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(sK13_skl(X),Y) )
& ! [X] :
( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(sK14_skl(X),X) )
& ! [Y] :
( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(sK15_skl(X),Y) )
& ! [X] :
( ( ( ~ p14(X)
| p15(X) )
& ( p14(X)
| ~ p15(X) ) )
| ~ r1(sK16_skl(X),X) )
& ! [Y] :
( ( ( ~ p15(Y)
| p16(Y) )
& ( p15(Y)
| ~ p16(Y) ) )
| ~ r1(sK17_skl(X),Y) )
& ! [X] :
( ( ( ~ p16(X)
| p17(X) )
& ( p16(X)
| ~ p17(X) ) )
| ~ r1(sK18_skl(X),X) )
& ! [Y] :
( ( ( ~ p17(Y)
| p18(Y) )
& ( p17(Y)
| ~ p18(Y) ) )
| ~ r1(sK19_skl(X),Y) )
& ! [X] :
( ( ( ~ p18(X)
| p19(X) )
& ( p18(X)
| ~ p19(X) ) )
| ~ r1(sK20_skl(X),X) )
& ! [Y] :
( ( ( ~ p19(Y)
| p20(Y) )
& ( p19(Y)
| ~ p20(Y) ) )
| ~ r1(sK21_skl(X),Y) )
& ! [X] :
( ( ( ~ p20(X)
| p21(X) )
& ( p20(X)
| ~ p21(X) ) )
| ~ r1(sK22_skl(X),X) )
& ! [Y] :
( ( ( ~ p21(Y)
| p22(Y) )
& ( p21(Y)
| ~ p22(Y) ) )
| ~ r1(sK23_skl(X),Y) )
& ! [X] :
( ( ( ~ p22(X)
| p23(X) )
& ( p22(X)
| ~ p23(X) ) )
| ~ r1(sK24_skl(X),X) )
& ! [Y] :
( ( ( ~ p23(Y)
| p24(Y) )
& ( p23(Y)
| ~ p24(Y) ) )
| ~ r1(sK25_skl(X),Y) )
& ! [X] :
( ( ( ~ p24(X)
| p25(X) )
& ( p24(X)
| ~ p25(X) ) )
| ~ r1(sK26_skl(X),X) )
& ! [Y] :
( ( ( ~ p25(Y)
| p26(Y) )
& ( p25(Y)
| ~ p26(Y) ) )
| ~ r1(sK27_skl(X),Y) )
& ! [X] :
( ( ( ~ p26(X)
| p27(X) )
& ( p26(X)
| ~ p27(X) ) )
| ~ r1(sK28_skl(X),X) )
& ! [Y] :
( ( ( ~ p27(Y)
| p28(Y) )
& ( p27(Y)
| ~ p28(Y) ) )
| ~ r1(sK29_skl(X),Y) )
& ! [X] :
( ( ( ~ p28(X)
| p29(X) )
& ( p28(X)
| ~ p29(X) ) )
| ~ r1(sK30_skl(X),X) )
& ! [Y] :
( ( ( ~ p29(Y)
| p30(Y) )
& ( p29(Y)
| ~ p30(Y) ) )
| ~ r1(sK31_skl(X),Y) )
& ! [X] :
( ( ( ~ p30(X)
| p31(X) )
& ( p30(X)
| ~ p31(X) ) )
| ~ r1(sK32_skl(X),X) )
& ! [Y] :
( ( ( ~ p31(Y)
| p32(Y) )
& ( p31(Y)
| ~ p32(Y) ) )
| ~ r1(sK33_skl(X),Y) )
& ! [X] :
( ( ( ~ p32(X)
| p33(X) )
& ( p32(X)
| ~ p33(X) ) )
| ~ r1(sK34_skl(X),X) )
& ! [Y] :
( ( ( ~ p33(Y)
| p34(Y) )
& ( p33(Y)
| ~ p34(Y) ) )
| ~ r1(sK35_skl(X),Y) )
& ! [X] :
( ( ( ~ p34(X)
| p35(X) )
& ( p34(X)
| ~ p35(X) ) )
| ~ r1(sK36_skl(X),X) )
& ! [Y] :
( ( ( ~ p35(Y)
| p36(Y) )
& ( p35(Y)
| ~ p36(Y) ) )
| ~ r1(sK37_skl(X),Y) )
& ! [X] :
( ( ( ~ p36(X)
| p37(X) )
& ( p36(X)
| ~ p37(X) ) )
| ~ r1(sK38_skl(X),X) )
& ! [Y] :
( ( ( ~ p37(Y)
| p38(Y) )
& ( p37(Y)
| ~ p38(Y) ) )
| ~ r1(sK39_skl(X),Y) )
& ! [X] :
( ( ( ~ p38(X)
| p39(X) )
& ( p38(X)
| ~ p39(X) ) )
| ~ r1(sK40_skl(X),X) )
& ! [Y] :
( ( ( ~ p39(Y)
| p40(Y) )
& ( p39(Y)
| ~ p40(Y) ) )
| ~ r1(sK41_skl(X),Y) )
& ! [X] :
( ( ( ~ p40(X)
| p41(X) )
& ( p40(X)
| ~ p41(X) ) )
| ~ r1(sK42_skl(X),X) )
& ! [Y] :
( ( ( ~ p41(Y)
| p42(Y) )
& ( p41(Y)
| ~ p42(Y) ) )
| ~ r1(sK43_skl(X),Y) )
& ! [X] :
( ( ( ~ p42(X)
| p43(X) )
& ( p42(X)
| ~ p43(X) ) )
| ~ r1(sK44_skl(X),X) )
& ! [Y] :
( ( ( ~ p43(Y)
| p44(Y) )
& ( p43(Y)
| ~ p44(Y) ) )
| ~ r1(sK45_skl(X),Y) )
& $true
& r1(sK45_skl(X),sK46_skl(X))
& r1(sK44_skl(X),sK45_skl(X))
& r1(sK43_skl(X),sK44_skl(X))
& r1(sK42_skl(X),sK43_skl(X))
& r1(sK41_skl(X),sK42_skl(X))
& r1(sK40_skl(X),sK41_skl(X))
& r1(sK39_skl(X),sK40_skl(X))
& r1(sK38_skl(X),sK39_skl(X))
& r1(sK37_skl(X),sK38_skl(X))
& r1(sK36_skl(X),sK37_skl(X))
& r1(sK35_skl(X),sK36_skl(X))
& r1(sK34_skl(X),sK35_skl(X))
& r1(sK33_skl(X),sK34_skl(X))
& r1(sK32_skl(X),sK33_skl(X))
& r1(sK31_skl(X),sK32_skl(X))
& r1(sK30_skl(X),sK31_skl(X))
& r1(sK29_skl(X),sK30_skl(X))
& r1(sK28_skl(X),sK29_skl(X))
& r1(sK27_skl(X),sK28_skl(X))
& r1(sK26_skl(X),sK27_skl(X))
& r1(sK25_skl(X),sK26_skl(X))
& r1(sK24_skl(X),sK25_skl(X))
& r1(sK23_skl(X),sK24_skl(X))
& r1(sK22_skl(X),sK23_skl(X))
& r1(sK21_skl(X),sK22_skl(X))
& r1(sK20_skl(X),sK21_skl(X))
& r1(sK19_skl(X),sK20_skl(X))
& r1(sK18_skl(X),sK19_skl(X))
& r1(sK17_skl(X),sK18_skl(X))
& r1(sK16_skl(X),sK17_skl(X))
& r1(sK15_skl(X),sK16_skl(X))
& r1(sK14_skl(X),sK15_skl(X))
& r1(sK13_skl(X),sK14_skl(X))
& r1(sK12_skl(X),sK13_skl(X))
& r1(sK11_skl(X),sK12_skl(X))
& r1(sK10_skl(X),sK11_skl(X))
& r1(sK9_skl(X),sK10_skl(X))
& r1(sK8_skl(X),sK9_skl(X))
& r1(sK7_skl(X),sK8_skl(X))
& r1(sK6_skl(X),sK7_skl(X))
& r1(sK5_skl(X),sK6_skl(X))
& r1(sK4_skl(X),sK5_skl(X))
& r1(X,sK4_skl(X)) )
| ~ r1(sK3_skl,X) )
& r1(sK0_skl,sK3_skl)
& p1(sK2_skl)
& r1(sK1_skl,sK2_skl)
& p45(sK1_skl)
& r1(sK0_skl,sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl,sK17_skl,sK18_skl,sK19_skl,sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl,sK40_skl,sK41_skl,sK42_skl,sK43_skl,sK44_skl,sK45_skl,sK46_skl,sK47_skl,sK48_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(X,sK2_skl),skolemize(Y,sK3_skl),skolemize(Y,sK4_skl(X)),skolemize(X,sK5_skl(X)),skolemize(Y,sK6_skl(X)),skolemize(X,sK7_skl(X)),skolemize(Y,sK8_skl(X)),skolemize(X,sK9_skl(X)),skolemize(Y,sK10_skl(X)),skolemize(X,sK11_skl(X)),skolemize(Y,sK12_skl(X)),skolemize(X,sK13_skl(X)),skolemize(Y,sK14_skl(X)),skolemize(X,sK15_skl(X)),skolemize(Y,sK16_skl(X)),skolemize(X,sK17_skl(X)),skolemize(Y,sK18_skl(X)),skolemize(X,sK19_skl(X)),skolemize(Y,sK20_skl(X)),skolemize(X,sK21_skl(X)),skolemize(Y,sK22_skl(X)),skolemize(X,sK23_skl(X)),skolemize(Y,sK24_skl(X)),skolemize(X,sK25_skl(X)),skolemize(Y,sK26_skl(X)),skolemize(X,sK27_skl(X)),skolemize(Y,sK28_skl(X)),skolemize(X,sK29_skl(X)),skolemize(Y,sK30_skl(X)),skolemize(X,sK31_skl(X)),skolemize(Y,sK32_skl(X)),skolemize(X,sK33_skl(X)),skolemize(Y,sK34_skl(X)),skolemize(X,sK35_skl(X)),skolemize(Y,sK36_skl(X)),skolemize(X,sK37_skl(X)),skolemize(Y,sK38_skl(X)),skolemize(X,sK39_skl(X)),skolemize(Y,sK40_skl(X)),skolemize(X,sK41_skl(X)),skolemize(Y,sK42_skl(X)),skolemize(X,sK43_skl(X)),skolemize(Y,sK44_skl(X)),skolemize(X,sK45_skl(X)),skolemize(Y,sK46_skl(X)),skolemize(Y,sK47_skl(X)),skolemize(Y,sK48_skl(X))],[f10]) ).
fof(f12,plain,
? [X] :
( ? [Y] :
( ! [X] :
( ( ? [Y] :
( ( ~ p1(sK48_skl(X))
| ~ p2(sK48_skl(X)) )
& ( p2(sK48_skl(X))
| p1(sK48_skl(X)) )
& ( ~ p2(sK48_skl(X))
| ~ p3(sK48_skl(X)) )
& ( p3(sK48_skl(X))
| p2(sK48_skl(X)) )
& ( ~ p3(sK48_skl(X))
| ~ p4(sK48_skl(X)) )
& ( p4(sK48_skl(X))
| p3(sK48_skl(X)) )
& ( ~ p4(sK48_skl(X))
| ~ p5(sK48_skl(X)) )
& ( p5(sK48_skl(X))
| p4(sK48_skl(X)) )
& ( ~ p5(sK48_skl(X))
| ~ p6(sK48_skl(X)) )
& ( p6(sK48_skl(X))
| p5(sK48_skl(X)) )
& ( ~ p6(sK48_skl(X))
| ~ p7(sK48_skl(X)) )
& ( p7(sK48_skl(X))
| p6(sK48_skl(X)) )
& ( ~ p7(sK48_skl(X))
| ~ p8(sK48_skl(X)) )
& ( p8(sK48_skl(X))
| p7(sK48_skl(X)) )
& ( ~ p8(sK48_skl(X))
| ~ p9(sK48_skl(X)) )
& ( p9(sK48_skl(X))
| p8(sK48_skl(X)) )
& ( ~ p9(sK48_skl(X))
| ~ p10(sK48_skl(X)) )
& ( p10(sK48_skl(X))
| p9(sK48_skl(X)) )
& ( ~ p10(sK48_skl(X))
| ~ p11(sK48_skl(X)) )
& ( p11(sK48_skl(X))
| p10(sK48_skl(X)) )
& ( ~ p11(sK48_skl(X))
| ~ p12(sK48_skl(X)) )
& ( p12(sK48_skl(X))
| p11(sK48_skl(X)) )
& ( ~ p12(sK48_skl(X))
| ~ p13(sK48_skl(X)) )
& ( p13(sK48_skl(X))
| p12(sK48_skl(X)) )
& ( ~ p13(sK48_skl(X))
| ~ p14(sK48_skl(X)) )
& ( p14(sK48_skl(X))
| p13(sK48_skl(X)) )
& ( ~ p14(sK48_skl(X))
| ~ p15(sK48_skl(X)) )
& ( p15(sK48_skl(X))
| p14(sK48_skl(X)) )
& ( ~ p15(sK48_skl(X))
| ~ p16(sK48_skl(X)) )
& ( p16(sK48_skl(X))
| p15(sK48_skl(X)) )
& ( ~ p16(sK48_skl(X))
| ~ p17(sK48_skl(X)) )
& ( p17(sK48_skl(X))
| p16(sK48_skl(X)) )
& ( ~ p17(sK48_skl(X))
| ~ p18(sK48_skl(X)) )
& ( p18(sK48_skl(X))
| p17(sK48_skl(X)) )
& ( ~ p18(sK48_skl(X))
| ~ p19(sK48_skl(X)) )
& ( p19(sK48_skl(X))
| p18(sK48_skl(X)) )
& ( ~ p19(sK48_skl(X))
| ~ p20(sK48_skl(X)) )
& ( p20(sK48_skl(X))
| p19(sK48_skl(X)) )
& ( ~ p20(sK48_skl(X))
| ~ p21(sK48_skl(X)) )
& ( p21(sK48_skl(X))
| p20(sK48_skl(X)) )
& ( ~ p21(sK48_skl(X))
| ~ p22(sK48_skl(X)) )
& ( p22(sK48_skl(X))
| p21(sK48_skl(X)) )
& ( ~ p22(sK48_skl(X))
| ~ p23(sK48_skl(X)) )
& ( p23(sK48_skl(X))
| p22(sK48_skl(X)) )
& ( ~ p23(sK48_skl(X))
| ~ p24(sK48_skl(X)) )
& ( p24(sK48_skl(X))
| p23(sK48_skl(X)) )
& ( ~ p24(sK48_skl(X))
| ~ p25(sK48_skl(X)) )
& ( p25(sK48_skl(X))
| p24(sK48_skl(X)) )
& ( ~ p25(sK48_skl(X))
| ~ p26(sK48_skl(X)) )
& ( p26(sK48_skl(X))
| p25(sK48_skl(X)) )
& ( ~ p26(sK48_skl(X))
| ~ p27(sK48_skl(X)) )
& ( p27(sK48_skl(X))
| p26(sK48_skl(X)) )
& ( ~ p27(sK48_skl(X))
| ~ p28(sK48_skl(X)) )
& ( p28(sK48_skl(X))
| p27(sK48_skl(X)) )
& ( ~ p28(sK48_skl(X))
| ~ p29(sK48_skl(X)) )
& ( p29(sK48_skl(X))
| p28(sK48_skl(X)) )
& ( ~ p29(sK48_skl(X))
| ~ p30(sK48_skl(X)) )
& ( p30(sK48_skl(X))
| p29(sK48_skl(X)) )
& ( ~ p30(sK48_skl(X))
| ~ p31(sK48_skl(X)) )
& ( p31(sK48_skl(X))
| p30(sK48_skl(X)) )
& ( ~ p31(sK48_skl(X))
| ~ p32(sK48_skl(X)) )
& ( p32(sK48_skl(X))
| p31(sK48_skl(X)) )
& ( ~ p32(sK48_skl(X))
| ~ p33(sK48_skl(X)) )
& ( p33(sK48_skl(X))
| p32(sK48_skl(X)) )
& ( ~ p33(sK48_skl(X))
| ~ p34(sK48_skl(X)) )
& ( p34(sK48_skl(X))
| p33(sK48_skl(X)) )
& ( ~ p34(sK48_skl(X))
| ~ p35(sK48_skl(X)) )
& ( p35(sK48_skl(X))
| p34(sK48_skl(X)) )
& ( ~ p35(sK48_skl(X))
| ~ p36(sK48_skl(X)) )
& ( p36(sK48_skl(X))
| p35(sK48_skl(X)) )
& ( ~ p36(sK48_skl(X))
| ~ p37(sK48_skl(X)) )
& ( p37(sK48_skl(X))
| p36(sK48_skl(X)) )
& ( ~ p37(sK48_skl(X))
| ~ p38(sK48_skl(X)) )
& ( p38(sK48_skl(X))
| p37(sK48_skl(X)) )
& ( ~ p38(sK48_skl(X))
| ~ p39(sK48_skl(X)) )
& ( p39(sK48_skl(X))
| p38(sK48_skl(X)) )
& ( ~ p39(sK48_skl(X))
| ~ p40(sK48_skl(X)) )
& ( p40(sK48_skl(X))
| p39(sK48_skl(X)) )
& ( ~ p40(sK48_skl(X))
| ~ p41(sK48_skl(X)) )
& ( p41(sK48_skl(X))
| p40(sK48_skl(X)) )
& ( ~ p41(sK48_skl(X))
| ~ p42(sK48_skl(X)) )
& ( p42(sK48_skl(X))
| p41(sK48_skl(X)) )
& ( ~ p42(sK48_skl(X))
| ~ p43(sK48_skl(X)) )
& ( p43(sK48_skl(X))
| p42(sK48_skl(X)) )
& ( ~ p43(sK48_skl(X))
| ~ p44(sK48_skl(X)) )
& ( p44(sK48_skl(X))
| p43(sK48_skl(X)) )
& r1(X,sK48_skl(X)) )
& ? [Y] :
( ~ p45(sK47_skl(X))
& r1(X,sK47_skl(X)) )
& ! [Y] :
( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(sK4_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(sK5_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(sK6_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(sK7_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(sK8_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(sK9_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(sK10_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(sK11_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(sK12_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(sK13_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(sK14_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(sK15_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p14(X)
| p15(X) )
& ( p14(X)
| ~ p15(X) ) )
| ~ r1(sK16_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p15(Y)
| p16(Y) )
& ( p15(Y)
| ~ p16(Y) ) )
| ~ r1(sK17_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p16(X)
| p17(X) )
& ( p16(X)
| ~ p17(X) ) )
| ~ r1(sK18_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p17(Y)
| p18(Y) )
& ( p17(Y)
| ~ p18(Y) ) )
| ~ r1(sK19_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p18(X)
| p19(X) )
& ( p18(X)
| ~ p19(X) ) )
| ~ r1(sK20_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p19(Y)
| p20(Y) )
& ( p19(Y)
| ~ p20(Y) ) )
| ~ r1(sK21_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p20(X)
| p21(X) )
& ( p20(X)
| ~ p21(X) ) )
| ~ r1(sK22_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p21(Y)
| p22(Y) )
& ( p21(Y)
| ~ p22(Y) ) )
| ~ r1(sK23_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p22(X)
| p23(X) )
& ( p22(X)
| ~ p23(X) ) )
| ~ r1(sK24_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p23(Y)
| p24(Y) )
& ( p23(Y)
| ~ p24(Y) ) )
| ~ r1(sK25_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p24(X)
| p25(X) )
& ( p24(X)
| ~ p25(X) ) )
| ~ r1(sK26_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p25(Y)
| p26(Y) )
& ( p25(Y)
| ~ p26(Y) ) )
| ~ r1(sK27_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p26(X)
| p27(X) )
& ( p26(X)
| ~ p27(X) ) )
| ~ r1(sK28_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p27(Y)
| p28(Y) )
& ( p27(Y)
| ~ p28(Y) ) )
| ~ r1(sK29_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p28(X)
| p29(X) )
& ( p28(X)
| ~ p29(X) ) )
| ~ r1(sK30_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p29(Y)
| p30(Y) )
& ( p29(Y)
| ~ p30(Y) ) )
| ~ r1(sK31_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p30(X)
| p31(X) )
& ( p30(X)
| ~ p31(X) ) )
| ~ r1(sK32_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p31(Y)
| p32(Y) )
& ( p31(Y)
| ~ p32(Y) ) )
| ~ r1(sK33_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p32(X)
| p33(X) )
& ( p32(X)
| ~ p33(X) ) )
| ~ r1(sK34_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p33(Y)
| p34(Y) )
& ( p33(Y)
| ~ p34(Y) ) )
| ~ r1(sK35_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p34(X)
| p35(X) )
& ( p34(X)
| ~ p35(X) ) )
| ~ r1(sK36_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p35(Y)
| p36(Y) )
& ( p35(Y)
| ~ p36(Y) ) )
| ~ r1(sK37_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p36(X)
| p37(X) )
& ( p36(X)
| ~ p37(X) ) )
| ~ r1(sK38_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p37(Y)
| p38(Y) )
& ( p37(Y)
| ~ p38(Y) ) )
| ~ r1(sK39_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p38(X)
| p39(X) )
& ( p38(X)
| ~ p39(X) ) )
| ~ r1(sK40_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p39(Y)
| p40(Y) )
& ( p39(Y)
| ~ p40(Y) ) )
| ~ r1(sK41_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p40(X)
| p41(X) )
& ( p40(X)
| ~ p41(X) ) )
| ~ r1(sK42_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p41(Y)
| p42(Y) )
& ( p41(Y)
| ~ p42(Y) ) )
| ~ r1(sK43_skl(X),Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p42(X)
| p43(X) )
& ( p42(X)
| ~ p43(X) ) )
| ~ r1(sK44_skl(X),X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p43(Y)
| p44(Y) )
& ( p43(Y)
| ~ p44(Y) ) )
| ~ r1(sK45_skl(X),Y) )
& ? [Y] : r1(sK45_skl(X),sK46_skl(X))
& r1(sK44_skl(X),sK45_skl(X)) )
& r1(sK43_skl(X),sK44_skl(X)) )
& r1(sK42_skl(X),sK43_skl(X)) )
& r1(sK41_skl(X),sK42_skl(X)) )
& r1(sK40_skl(X),sK41_skl(X)) )
& r1(sK39_skl(X),sK40_skl(X)) )
& r1(sK38_skl(X),sK39_skl(X)) )
& r1(sK37_skl(X),sK38_skl(X)) )
& r1(sK36_skl(X),sK37_skl(X)) )
& r1(sK35_skl(X),sK36_skl(X)) )
& r1(sK34_skl(X),sK35_skl(X)) )
& r1(sK33_skl(X),sK34_skl(X)) )
& r1(sK32_skl(X),sK33_skl(X)) )
& r1(sK31_skl(X),sK32_skl(X)) )
& r1(sK30_skl(X),sK31_skl(X)) )
& r1(sK29_skl(X),sK30_skl(X)) )
& r1(sK28_skl(X),sK29_skl(X)) )
& r1(sK27_skl(X),sK28_skl(X)) )
& r1(sK26_skl(X),sK27_skl(X)) )
& r1(sK25_skl(X),sK26_skl(X)) )
& r1(sK24_skl(X),sK25_skl(X)) )
& r1(sK23_skl(X),sK24_skl(X)) )
& r1(sK22_skl(X),sK23_skl(X)) )
& r1(sK21_skl(X),sK22_skl(X)) )
& r1(sK20_skl(X),sK21_skl(X)) )
& r1(sK19_skl(X),sK20_skl(X)) )
& r1(sK18_skl(X),sK19_skl(X)) )
& r1(sK17_skl(X),sK18_skl(X)) )
& r1(sK16_skl(X),sK17_skl(X)) )
& r1(sK15_skl(X),sK16_skl(X)) )
& r1(sK14_skl(X),sK15_skl(X)) )
& r1(sK13_skl(X),sK14_skl(X)) )
& r1(sK12_skl(X),sK13_skl(X)) )
& r1(sK11_skl(X),sK12_skl(X)) )
& r1(sK10_skl(X),sK11_skl(X)) )
& r1(sK9_skl(X),sK10_skl(X)) )
& r1(sK8_skl(X),sK9_skl(X)) )
& r1(sK7_skl(X),sK8_skl(X)) )
& r1(sK6_skl(X),sK7_skl(X)) )
& r1(sK5_skl(X),sK6_skl(X)) )
& r1(sK4_skl(X),sK5_skl(X)) )
& r1(X,sK4_skl(X)) ) )
| ~ r1(sK3_skl,X) )
& r1(sK0_skl,sK3_skl) )
& ? [Y] :
( ? [X] :
( p1(sK2_skl)
& r1(sK1_skl,sK2_skl) )
& p45(sK1_skl)
& r1(sK0_skl,sK1_skl) ) ),
inference(true_and_false_simplification,[status(thm)],[f11]) ).
fof(f18,plain,
! [X0] :
( r1(X0,sK4_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f143,plain,
! [X0,X1] :
( p2(X1)
| ~ p3(X1)
| ~ r1(sK4_skl(X0),X1)
| ~ r1(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f145,plain,
! [X0,X1] :
( p1(X1)
| ~ p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f149,plain,
! [X0] :
( r1(X0,sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f232,plain,
! [X0] :
( p3(sK48_skl(X0))
| p2(sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f234,plain,
! [X0] :
( p2(sK48_skl(X0))
| p1(sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f235,plain,
! [X0] :
( ~ p1(sK48_skl(X0))
| ~ p2(sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f353,plain,
! [X0,X1] :
( p1(sK48_skl(X0))
| ~ r1(X1,sK48_skl(X0))
| ~ r1(sK3_skl,X1)
| p1(sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(resolution,[status(thm)],[f234,f145]) ).
fof(f355,plain,
! [X0,X1] :
( ~ r1(X1,sK48_skl(X0))
| ~ r1(sK3_skl,X1)
| p1(sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f353]) ).
fof(f601,plain,
! [X0] :
( ~ r1(sK3_skl,X0)
| ~ r1(sK3_skl,X0)
| p1(sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(resolution,[status(thm)],[f355,f149]) ).
fof(f604,plain,
! [X0] :
( p1(sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f601]) ).
fof(f605,plain,
! [X0] :
( ~ p2(sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f235,f604]) ).
fof(f607,plain,
! [X0] :
( p3(sK48_skl(X0))
| ~ r1(sK3_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f605]) ).
fof(f609,plain,
! [X0,X1] :
( p2(sK48_skl(X0))
| ~ r1(sK4_skl(X1),sK48_skl(X0))
| ~ r1(sK3_skl,X1)
| ~ r1(sK3_skl,X0) ),
inference(resolution,[status(thm)],[f607,f143]) ).
fof(f611,plain,
! [X0,X1] :
( ~ r1(sK4_skl(X1),sK48_skl(X0))
| ~ r1(sK3_skl,X1)
| ~ r1(sK3_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f605]) ).
fof(f712,plain,
! [X0] :
( ~ r1(sK3_skl,sK4_skl(X0))
| ~ r1(sK3_skl,X0)
| ~ r1(sK3_skl,sK4_skl(X0)) ),
inference(resolution,[status(thm)],[f611,f149]) ).
fof(f714,plain,
! [X0] :
( ~ r1(sK3_skl,X0)
| ~ r1(sK3_skl,sK4_skl(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f712]) ).
fof(f715,plain,
( ~ r1(sK3_skl,sK3_skl)
| ~ r1(sK3_skl,sK3_skl) ),
inference(resolution,[status(thm)],[f714,f18]) ).
fof(f717,definition,
( sQ2_spl
<=> r1(sK3_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( sQ2_spl
| ~ r1(sK3_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,plain,
~ sQ2_spl,
inference(split_clause,[status(thm)],[f715,f717]) ).
fof(f721,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f719,f5]) ).
fof(f722,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f723,plain,
$false,
inference(sat_refutation,[status(thm)],[f720,f722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:59:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 1.06/0.55 % Refutation found
% 1.06/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.06/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.06/0.56 % Elapsed time: 0.200876 seconds
% 1.06/0.56 % CPU time: 1.289189 seconds
% 1.06/0.56 % Total memory used: 38.965 MB
% 1.06/0.56 % Net memory used: 37.580 MB
%------------------------------------------------------------------------------