%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 : Fri Sep 25 02:02:41 PM UTC 2026
% Result : Theorem 11.75s 2.22s
% Output : Proof 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 2401 ( 0 equ)
% Maximal formula atoms : 590 ( 96 avg)
% Number of connectives : 3935 (1559 ~;1316 |;1060 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 246 ( 35 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 62 ( 61 usr; 1 prp; 0-2 aty)
% Number of functors : 64 ( 64 usr; 4 con; 0-1 aty)
% Number of variables : 384 ( 0 sgn 308 !; 66 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,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) )
| ( p44(Y)
& p45(Y) )
| ( ~ p45(Y)
& ~ p44(Y) )
| ( p45(Y)
& p46(Y) )
| ( ~ p46(Y)
& ~ p45(Y) )
| ( p46(Y)
& p47(Y) )
| ( ~ p47(Y)
& ~ p46(Y) )
| ( p47(Y)
& p48(Y) )
| ( ~ p48(Y)
& ~ p47(Y) )
| ( p48(Y)
& p49(Y) )
| ( ~ p49(Y)
& ~ p48(Y) )
| ( p49(Y)
& p50(Y) )
| ( ~ p50(Y)
& ~ p49(Y) )
| ( p50(Y)
& p51(Y) )
| ( ~ p51(Y)
& ~ p50(Y) )
| ( p51(Y)
& p52(Y) )
| ( ~ p52(Y)
& ~ p51(Y) )
| ( p52(Y)
& p53(Y) )
| ( ~ p53(Y)
& ~ p52(Y) )
| ( p53(Y)
& p54(Y) )
| ( ~ p54(Y)
& ~ p53(Y) )
| ( p54(Y)
& p55(Y) )
| ( ~ p55(Y)
& ~ p54(Y) )
| ( p55(Y)
& p56(Y) )
| ( ~ p56(Y)
& ~ p55(Y) )
| ( p56(Y)
& p57(Y) )
| ( ~ p57(Y)
& ~ p56(Y) )
| ( p57(Y)
& p58(Y) )
| ( ~ p58(Y)
& ~ p57(Y) )
| ( p58(Y)
& p59(Y) )
| ( ~ p59(Y)
& ~ p58(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p60(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] :
( ~ ! [X] :
( ~ ( ( p44(X)
& ~ p45(X) )
| ( ~ p44(X)
& p45(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p45(Y)
& ~ p46(Y) )
| ( ~ p45(Y)
& p46(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p46(X)
& ~ p47(X) )
| ( ~ p46(X)
& p47(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p47(Y)
& ~ p48(Y) )
| ( ~ p47(Y)
& p48(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p48(X)
& ~ p49(X) )
| ( ~ p48(X)
& p49(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p49(Y)
& ~ p50(Y) )
| ( ~ p49(Y)
& p50(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p50(X)
& ~ p51(X) )
| ( ~ p50(X)
& p51(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p51(Y)
& ~ p52(Y) )
| ( ~ p51(Y)
& p52(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p52(X)
& ~ p53(X) )
| ( ~ p52(X)
& p53(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p53(Y)
& ~ p54(Y) )
| ( ~ p53(Y)
& p54(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p54(X)
& ~ p55(X) )
| ( ~ p54(X)
& p55(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p55(Y)
& ~ p56(Y) )
| ( ~ p55(Y)
& p56(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p56(X)
& ~ p57(X) )
| ( ~ p56(X)
& p57(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p57(Y)
& ~ p58(Y) )
| ( ~ p57(Y)
& p58(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p58(X)
& ~ p59(X) )
| ( ~ p58(X)
& p59(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( $false
| ~ 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) )
| ~ 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) )
| ~ p60(Y)
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2_neg,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) )
| ( p44(Y)
& p45(Y) )
| ( ~ p45(Y)
& ~ p44(Y) )
| ( p45(Y)
& p46(Y) )
| ( ~ p46(Y)
& ~ p45(Y) )
| ( p46(Y)
& p47(Y) )
| ( ~ p47(Y)
& ~ p46(Y) )
| ( p47(Y)
& p48(Y) )
| ( ~ p48(Y)
& ~ p47(Y) )
| ( p48(Y)
& p49(Y) )
| ( ~ p49(Y)
& ~ p48(Y) )
| ( p49(Y)
& p50(Y) )
| ( ~ p50(Y)
& ~ p49(Y) )
| ( p50(Y)
& p51(Y) )
| ( ~ p51(Y)
& ~ p50(Y) )
| ( p51(Y)
& p52(Y) )
| ( ~ p52(Y)
& ~ p51(Y) )
| ( p52(Y)
& p53(Y) )
| ( ~ p53(Y)
& ~ p52(Y) )
| ( p53(Y)
& p54(Y) )
| ( ~ p54(Y)
& ~ p53(Y) )
| ( p54(Y)
& p55(Y) )
| ( ~ p55(Y)
& ~ p54(Y) )
| ( p55(Y)
& p56(Y) )
| ( ~ p56(Y)
& ~ p55(Y) )
| ( p56(Y)
& p57(Y) )
| ( ~ p57(Y)
& ~ p56(Y) )
| ( p57(Y)
& p58(Y) )
| ( ~ p58(Y)
& ~ p57(Y) )
| ( p58(Y)
& p59(Y) )
| ( ~ p59(Y)
& ~ p58(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p60(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] :
( ~ ! [X] :
( ~ ( ( p44(X)
& ~ p45(X) )
| ( ~ p44(X)
& p45(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p45(Y)
& ~ p46(Y) )
| ( ~ p45(Y)
& p46(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p46(X)
& ~ p47(X) )
| ( ~ p46(X)
& p47(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p47(Y)
& ~ p48(Y) )
| ( ~ p47(Y)
& p48(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p48(X)
& ~ p49(X) )
| ( ~ p48(X)
& p49(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p49(Y)
& ~ p50(Y) )
| ( ~ p49(Y)
& p50(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p50(X)
& ~ p51(X) )
| ( ~ p50(X)
& p51(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p51(Y)
& ~ p52(Y) )
| ( ~ p51(Y)
& p52(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p52(X)
& ~ p53(X) )
| ( ~ p52(X)
& p53(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p53(Y)
& ~ p54(Y) )
| ( ~ p53(Y)
& p54(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p54(X)
& ~ p55(X) )
| ( ~ p54(X)
& p55(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p55(Y)
& ~ p56(Y) )
| ( ~ p55(Y)
& p56(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p56(X)
& ~ p57(X) )
| ( ~ p56(X)
& p57(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p57(Y)
& ~ p58(Y) )
| ( ~ p57(Y)
& p58(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p58(X)
& ~ p59(X) )
| ( ~ p58(X)
& p59(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( $false
| ~ 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) )
| ~ 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) )
| ~ p60(Y)
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f2_nnf,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) )
& ( ~ p44(Y)
| ~ p45(Y) )
& ( p45(Y)
| p44(Y) )
& ( ~ p45(Y)
| ~ p46(Y) )
& ( p46(Y)
| p45(Y) )
& ( ~ p46(Y)
| ~ p47(Y) )
& ( p47(Y)
| p46(Y) )
& ( ~ p47(Y)
| ~ p48(Y) )
& ( p48(Y)
| p47(Y) )
& ( ~ p48(Y)
| ~ p49(Y) )
& ( p49(Y)
| p48(Y) )
& ( ~ p49(Y)
| ~ p50(Y) )
& ( p50(Y)
| p49(Y) )
& ( ~ p50(Y)
| ~ p51(Y) )
& ( p51(Y)
| p50(Y) )
& ( ~ p51(Y)
| ~ p52(Y) )
& ( p52(Y)
| p51(Y) )
& ( ~ p52(Y)
| ~ p53(Y) )
& ( p53(Y)
| p52(Y) )
& ( ~ p53(Y)
| ~ p54(Y) )
& ( p54(Y)
| p53(Y) )
& ( ~ p54(Y)
| ~ p55(Y) )
& ( p55(Y)
| p54(Y) )
& ( ~ p55(Y)
| ~ p56(Y) )
& ( p56(Y)
| p55(Y) )
& ( ~ p56(Y)
| ~ p57(Y) )
& ( p57(Y)
| p56(Y) )
& ( ~ p57(Y)
| ~ p58(Y) )
& ( p58(Y)
| p57(Y) )
& ( ~ p58(Y)
| ~ p59(Y) )
& ( p59(Y)
| p58(Y) )
& r1(X,Y) )
& ? [Y] :
( ~ p60(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] :
( ! [X] :
( ( ( ~ p44(X)
| p45(X) )
& ( p44(X)
| ~ p45(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p45(Y)
| p46(Y) )
& ( p45(Y)
| ~ p46(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p46(X)
| p47(X) )
& ( p46(X)
| ~ p47(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p47(Y)
| p48(Y) )
& ( p47(Y)
| ~ p48(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p48(X)
| p49(X) )
& ( p48(X)
| ~ p49(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p49(Y)
| p50(Y) )
& ( p49(Y)
| ~ p50(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p50(X)
| p51(X) )
& ( p50(X)
| ~ p51(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p51(Y)
| p52(Y) )
& ( p51(Y)
| ~ p52(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p52(X)
| p53(X) )
& ( p52(X)
| ~ p53(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p53(Y)
| p54(Y) )
& ( p53(Y)
| ~ p54(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p54(X)
| p55(X) )
& ( p54(X)
| ~ p55(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p55(Y)
| p56(Y) )
& ( p55(Y)
| ~ p56(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p56(X)
| p57(X) )
& ( p56(X)
| ~ p57(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p57(Y)
| p58(Y) )
& ( p57(Y)
| ~ p58(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p58(X)
| p59(X) )
& ( p58(X)
| ~ p59(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ~ $false
& 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) )
& 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) )
& p60(Y)
& r1(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f2_neg]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ( ( ~ p1(sk63(X))
| ~ p2(sk63(X)) )
& ( p2(sk63(X))
| p1(sk63(X)) )
& ( ~ p2(sk63(X))
| ~ p3(sk63(X)) )
& ( p3(sk63(X))
| p2(sk63(X)) )
& ( ~ p3(sk63(X))
| ~ p4(sk63(X)) )
& ( p4(sk63(X))
| p3(sk63(X)) )
& ( ~ p4(sk63(X))
| ~ p5(sk63(X)) )
& ( p5(sk63(X))
| p4(sk63(X)) )
& ( ~ p5(sk63(X))
| ~ p6(sk63(X)) )
& ( p6(sk63(X))
| p5(sk63(X)) )
& ( ~ p6(sk63(X))
| ~ p7(sk63(X)) )
& ( p7(sk63(X))
| p6(sk63(X)) )
& ( ~ p7(sk63(X))
| ~ p8(sk63(X)) )
& ( p8(sk63(X))
| p7(sk63(X)) )
& ( ~ p8(sk63(X))
| ~ p9(sk63(X)) )
& ( p9(sk63(X))
| p8(sk63(X)) )
& ( ~ p9(sk63(X))
| ~ p10(sk63(X)) )
& ( p10(sk63(X))
| p9(sk63(X)) )
& ( ~ p10(sk63(X))
| ~ p11(sk63(X)) )
& ( p11(sk63(X))
| p10(sk63(X)) )
& ( ~ p11(sk63(X))
| ~ p12(sk63(X)) )
& ( p12(sk63(X))
| p11(sk63(X)) )
& ( ~ p12(sk63(X))
| ~ p13(sk63(X)) )
& ( p13(sk63(X))
| p12(sk63(X)) )
& ( ~ p13(sk63(X))
| ~ p14(sk63(X)) )
& ( p14(sk63(X))
| p13(sk63(X)) )
& ( ~ p14(sk63(X))
| ~ p15(sk63(X)) )
& ( p15(sk63(X))
| p14(sk63(X)) )
& ( ~ p15(sk63(X))
| ~ p16(sk63(X)) )
& ( p16(sk63(X))
| p15(sk63(X)) )
& ( ~ p16(sk63(X))
| ~ p17(sk63(X)) )
& ( p17(sk63(X))
| p16(sk63(X)) )
& ( ~ p17(sk63(X))
| ~ p18(sk63(X)) )
& ( p18(sk63(X))
| p17(sk63(X)) )
& ( ~ p18(sk63(X))
| ~ p19(sk63(X)) )
& ( p19(sk63(X))
| p18(sk63(X)) )
& ( ~ p19(sk63(X))
| ~ p20(sk63(X)) )
& ( p20(sk63(X))
| p19(sk63(X)) )
& ( ~ p20(sk63(X))
| ~ p21(sk63(X)) )
& ( p21(sk63(X))
| p20(sk63(X)) )
& ( ~ p21(sk63(X))
| ~ p22(sk63(X)) )
& ( p22(sk63(X))
| p21(sk63(X)) )
& ( ~ p22(sk63(X))
| ~ p23(sk63(X)) )
& ( p23(sk63(X))
| p22(sk63(X)) )
& ( ~ p23(sk63(X))
| ~ p24(sk63(X)) )
& ( p24(sk63(X))
| p23(sk63(X)) )
& ( ~ p24(sk63(X))
| ~ p25(sk63(X)) )
& ( p25(sk63(X))
| p24(sk63(X)) )
& ( ~ p25(sk63(X))
| ~ p26(sk63(X)) )
& ( p26(sk63(X))
| p25(sk63(X)) )
& ( ~ p26(sk63(X))
| ~ p27(sk63(X)) )
& ( p27(sk63(X))
| p26(sk63(X)) )
& ( ~ p27(sk63(X))
| ~ p28(sk63(X)) )
& ( p28(sk63(X))
| p27(sk63(X)) )
& ( ~ p28(sk63(X))
| ~ p29(sk63(X)) )
& ( p29(sk63(X))
| p28(sk63(X)) )
& ( ~ p29(sk63(X))
| ~ p30(sk63(X)) )
& ( p30(sk63(X))
| p29(sk63(X)) )
& ( ~ p30(sk63(X))
| ~ p31(sk63(X)) )
& ( p31(sk63(X))
| p30(sk63(X)) )
& ( ~ p31(sk63(X))
| ~ p32(sk63(X)) )
& ( p32(sk63(X))
| p31(sk63(X)) )
& ( ~ p32(sk63(X))
| ~ p33(sk63(X)) )
& ( p33(sk63(X))
| p32(sk63(X)) )
& ( ~ p33(sk63(X))
| ~ p34(sk63(X)) )
& ( p34(sk63(X))
| p33(sk63(X)) )
& ( ~ p34(sk63(X))
| ~ p35(sk63(X)) )
& ( p35(sk63(X))
| p34(sk63(X)) )
& ( ~ p35(sk63(X))
| ~ p36(sk63(X)) )
& ( p36(sk63(X))
| p35(sk63(X)) )
& ( ~ p36(sk63(X))
| ~ p37(sk63(X)) )
& ( p37(sk63(X))
| p36(sk63(X)) )
& ( ~ p37(sk63(X))
| ~ p38(sk63(X)) )
& ( p38(sk63(X))
| p37(sk63(X)) )
& ( ~ p38(sk63(X))
| ~ p39(sk63(X)) )
& ( p39(sk63(X))
| p38(sk63(X)) )
& ( ~ p39(sk63(X))
| ~ p40(sk63(X)) )
& ( p40(sk63(X))
| p39(sk63(X)) )
& ( ~ p40(sk63(X))
| ~ p41(sk63(X)) )
& ( p41(sk63(X))
| p40(sk63(X)) )
& ( ~ p41(sk63(X))
| ~ p42(sk63(X)) )
& ( p42(sk63(X))
| p41(sk63(X)) )
& ( ~ p42(sk63(X))
| ~ p43(sk63(X)) )
& ( p43(sk63(X))
| p42(sk63(X)) )
& ( ~ p43(sk63(X))
| ~ p44(sk63(X)) )
& ( p44(sk63(X))
| p43(sk63(X)) )
& ( ~ p44(sk63(X))
| ~ p45(sk63(X)) )
& ( p45(sk63(X))
| p44(sk63(X)) )
& ( ~ p45(sk63(X))
| ~ p46(sk63(X)) )
& ( p46(sk63(X))
| p45(sk63(X)) )
& ( ~ p46(sk63(X))
| ~ p47(sk63(X)) )
& ( p47(sk63(X))
| p46(sk63(X)) )
& ( ~ p47(sk63(X))
| ~ p48(sk63(X)) )
& ( p48(sk63(X))
| p47(sk63(X)) )
& ( ~ p48(sk63(X))
| ~ p49(sk63(X)) )
& ( p49(sk63(X))
| p48(sk63(X)) )
& ( ~ p49(sk63(X))
| ~ p50(sk63(X)) )
& ( p50(sk63(X))
| p49(sk63(X)) )
& ( ~ p50(sk63(X))
| ~ p51(sk63(X)) )
& ( p51(sk63(X))
| p50(sk63(X)) )
& ( ~ p51(sk63(X))
| ~ p52(sk63(X)) )
& ( p52(sk63(X))
| p51(sk63(X)) )
& ( ~ p52(sk63(X))
| ~ p53(sk63(X)) )
& ( p53(sk63(X))
| p52(sk63(X)) )
& ( ~ p53(sk63(X))
| ~ p54(sk63(X)) )
& ( p54(sk63(X))
| p53(sk63(X)) )
& ( ~ p54(sk63(X))
| ~ p55(sk63(X)) )
& ( p55(sk63(X))
| p54(sk63(X)) )
& ( ~ p55(sk63(X))
| ~ p56(sk63(X)) )
& ( p56(sk63(X))
| p55(sk63(X)) )
& ( ~ p56(sk63(X))
| ~ p57(sk63(X)) )
& ( p57(sk63(X))
| p56(sk63(X)) )
& ( ~ p57(sk63(X))
| ~ p58(sk63(X)) )
& ( p58(sk63(X))
| p57(sk63(X)) )
& ( ~ p58(sk63(X))
| ~ p59(sk63(X)) )
& ( p59(sk63(X))
| p58(sk63(X)) )
& r1(X,sk63(X))
& ~ p60(sk62(X))
& r1(X,sk62(X))
& ( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(sk4(X),X) )
& ( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(sk5(X),Y) )
& ( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(sk6(X),X) )
& ( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(sk7(X),Y) )
& ( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(sk8(X),X) )
& ( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(sk9(X),Y) )
& ( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(sk10(X),X) )
& ( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(sk11(X),Y) )
& ( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(sk12(X),X) )
& ( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(sk13(X),Y) )
& ( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(sk14(X),X) )
& ( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(sk15(X),Y) )
& ( ( ( ~ p14(X)
| p15(X) )
& ( p14(X)
| ~ p15(X) ) )
| ~ r1(sk16(X),X) )
& ( ( ( ~ p15(Y)
| p16(Y) )
& ( p15(Y)
| ~ p16(Y) ) )
| ~ r1(sk17(X),Y) )
& ( ( ( ~ p16(X)
| p17(X) )
& ( p16(X)
| ~ p17(X) ) )
| ~ r1(sk18(X),X) )
& ( ( ( ~ p17(Y)
| p18(Y) )
& ( p17(Y)
| ~ p18(Y) ) )
| ~ r1(sk19(X),Y) )
& ( ( ( ~ p18(X)
| p19(X) )
& ( p18(X)
| ~ p19(X) ) )
| ~ r1(sk20(X),X) )
& ( ( ( ~ p19(Y)
| p20(Y) )
& ( p19(Y)
| ~ p20(Y) ) )
| ~ r1(sk21(X),Y) )
& ( ( ( ~ p20(X)
| p21(X) )
& ( p20(X)
| ~ p21(X) ) )
| ~ r1(sk22(X),X) )
& ( ( ( ~ p21(Y)
| p22(Y) )
& ( p21(Y)
| ~ p22(Y) ) )
| ~ r1(sk23(X),Y) )
& ( ( ( ~ p22(X)
| p23(X) )
& ( p22(X)
| ~ p23(X) ) )
| ~ r1(sk24(X),X) )
& ( ( ( ~ p23(Y)
| p24(Y) )
& ( p23(Y)
| ~ p24(Y) ) )
| ~ r1(sk25(X),Y) )
& ( ( ( ~ p24(X)
| p25(X) )
& ( p24(X)
| ~ p25(X) ) )
| ~ r1(sk26(X),X) )
& ( ( ( ~ p25(Y)
| p26(Y) )
& ( p25(Y)
| ~ p26(Y) ) )
| ~ r1(sk27(X),Y) )
& ( ( ( ~ p26(X)
| p27(X) )
& ( p26(X)
| ~ p27(X) ) )
| ~ r1(sk28(X),X) )
& ( ( ( ~ p27(Y)
| p28(Y) )
& ( p27(Y)
| ~ p28(Y) ) )
| ~ r1(sk29(X),Y) )
& ( ( ( ~ p28(X)
| p29(X) )
& ( p28(X)
| ~ p29(X) ) )
| ~ r1(sk30(X),X) )
& ( ( ( ~ p29(Y)
| p30(Y) )
& ( p29(Y)
| ~ p30(Y) ) )
| ~ r1(sk31(X),Y) )
& ( ( ( ~ p30(X)
| p31(X) )
& ( p30(X)
| ~ p31(X) ) )
| ~ r1(sk32(X),X) )
& ( ( ( ~ p31(Y)
| p32(Y) )
& ( p31(Y)
| ~ p32(Y) ) )
| ~ r1(sk33(X),Y) )
& ( ( ( ~ p32(X)
| p33(X) )
& ( p32(X)
| ~ p33(X) ) )
| ~ r1(sk34(X),X) )
& ( ( ( ~ p33(Y)
| p34(Y) )
& ( p33(Y)
| ~ p34(Y) ) )
| ~ r1(sk35(X),Y) )
& ( ( ( ~ p34(X)
| p35(X) )
& ( p34(X)
| ~ p35(X) ) )
| ~ r1(sk36(X),X) )
& ( ( ( ~ p35(Y)
| p36(Y) )
& ( p35(Y)
| ~ p36(Y) ) )
| ~ r1(sk37(X),Y) )
& ( ( ( ~ p36(X)
| p37(X) )
& ( p36(X)
| ~ p37(X) ) )
| ~ r1(sk38(X),X) )
& ( ( ( ~ p37(Y)
| p38(Y) )
& ( p37(Y)
| ~ p38(Y) ) )
| ~ r1(sk39(X),Y) )
& ( ( ( ~ p38(X)
| p39(X) )
& ( p38(X)
| ~ p39(X) ) )
| ~ r1(sk40(X),X) )
& ( ( ( ~ p39(Y)
| p40(Y) )
& ( p39(Y)
| ~ p40(Y) ) )
| ~ r1(sk41(X),Y) )
& ( ( ( ~ p40(X)
| p41(X) )
& ( p40(X)
| ~ p41(X) ) )
| ~ r1(sk42(X),X) )
& ( ( ( ~ p41(Y)
| p42(Y) )
& ( p41(Y)
| ~ p42(Y) ) )
| ~ r1(sk43(X),Y) )
& ( ( ( ~ p42(X)
| p43(X) )
& ( p42(X)
| ~ p43(X) ) )
| ~ r1(sk44(X),X) )
& ( ( ( ~ p43(Y)
| p44(Y) )
& ( p43(Y)
| ~ p44(Y) ) )
| ~ r1(sk45(X),Y) )
& ( ( ( ~ p44(X)
| p45(X) )
& ( p44(X)
| ~ p45(X) ) )
| ~ r1(sk46(X),X) )
& ( ( ( ~ p45(Y)
| p46(Y) )
& ( p45(Y)
| ~ p46(Y) ) )
| ~ r1(sk47(X),Y) )
& ( ( ( ~ p46(X)
| p47(X) )
& ( p46(X)
| ~ p47(X) ) )
| ~ r1(sk48(X),X) )
& ( ( ( ~ p47(Y)
| p48(Y) )
& ( p47(Y)
| ~ p48(Y) ) )
| ~ r1(sk49(X),Y) )
& ( ( ( ~ p48(X)
| p49(X) )
& ( p48(X)
| ~ p49(X) ) )
| ~ r1(sk50(X),X) )
& ( ( ( ~ p49(Y)
| p50(Y) )
& ( p49(Y)
| ~ p50(Y) ) )
| ~ r1(sk51(X),Y) )
& ( ( ( ~ p50(X)
| p51(X) )
& ( p50(X)
| ~ p51(X) ) )
| ~ r1(sk52(X),X) )
& ( ( ( ~ p51(Y)
| p52(Y) )
& ( p51(Y)
| ~ p52(Y) ) )
| ~ r1(sk53(X),Y) )
& ( ( ( ~ p52(X)
| p53(X) )
& ( p52(X)
| ~ p53(X) ) )
| ~ r1(sk54(X),X) )
& ( ( ( ~ p53(Y)
| p54(Y) )
& ( p53(Y)
| ~ p54(Y) ) )
| ~ r1(sk55(X),Y) )
& ( ( ( ~ p54(X)
| p55(X) )
& ( p54(X)
| ~ p55(X) ) )
| ~ r1(sk56(X),X) )
& ( ( ( ~ p55(Y)
| p56(Y) )
& ( p55(Y)
| ~ p56(Y) ) )
| ~ r1(sk57(X),Y) )
& ( ( ( ~ p56(X)
| p57(X) )
& ( p56(X)
| ~ p57(X) ) )
| ~ r1(sk58(X),X) )
& ( ( ( ~ p57(Y)
| p58(Y) )
& ( p57(Y)
| ~ p58(Y) ) )
| ~ r1(sk59(X),Y) )
& ( ( ( ~ p58(X)
| p59(X) )
& ( p58(X)
| ~ p59(X) ) )
| ~ r1(sk60(X),X) )
& ~ $false
& r1(sk60(sk61(X)),sk61(X))
& r1(sk59(X),sk60(X))
& r1(sk58(sk59(X)),sk59(X))
& r1(sk57(X),sk58(X))
& r1(sk56(sk57(X)),sk57(X))
& r1(sk55(X),sk56(X))
& r1(sk54(sk55(X)),sk55(X))
& r1(sk53(X),sk54(X))
& r1(sk52(sk53(X)),sk53(X))
& r1(sk51(X),sk52(X))
& r1(sk50(sk51(X)),sk51(X))
& r1(sk49(X),sk50(X))
& r1(sk48(sk49(X)),sk49(X))
& r1(sk47(X),sk48(X))
& r1(sk46(sk47(X)),sk47(X))
& r1(sk45(X),sk46(X))
& r1(sk44(sk45(X)),sk45(X))
& r1(sk43(X),sk44(X))
& r1(sk42(sk43(X)),sk43(X))
& r1(sk41(X),sk42(X))
& r1(sk40(sk41(X)),sk41(X))
& r1(sk39(X),sk40(X))
& r1(sk38(sk39(X)),sk39(X))
& r1(sk37(X),sk38(X))
& r1(sk36(sk37(X)),sk37(X))
& r1(sk35(X),sk36(X))
& r1(sk34(sk35(X)),sk35(X))
& r1(sk33(X),sk34(X))
& r1(sk32(sk33(X)),sk33(X))
& r1(sk31(X),sk32(X))
& r1(sk30(sk31(X)),sk31(X))
& r1(sk29(X),sk30(X))
& r1(sk28(sk29(X)),sk29(X))
& r1(sk27(X),sk28(X))
& r1(sk26(sk27(X)),sk27(X))
& r1(sk25(X),sk26(X))
& r1(sk24(sk25(X)),sk25(X))
& r1(sk23(X),sk24(X))
& r1(sk22(sk23(X)),sk23(X))
& r1(sk21(X),sk22(X))
& r1(sk20(sk21(X)),sk21(X))
& r1(sk19(X),sk20(X))
& r1(sk18(sk19(X)),sk19(X))
& r1(sk17(X),sk18(X))
& r1(sk16(sk17(X)),sk17(X))
& r1(sk15(X),sk16(X))
& r1(sk14(sk15(X)),sk15(X))
& r1(sk13(X),sk14(X))
& r1(sk12(sk13(X)),sk13(X))
& r1(sk11(X),sk12(X))
& r1(sk10(sk11(X)),sk11(X))
& r1(sk9(X),sk10(X))
& r1(sk8(sk9(X)),sk9(X))
& r1(sk7(X),sk8(X))
& r1(sk6(sk7(X)),sk7(X))
& r1(sk5(X),sk6(X))
& r1(sk4(sk5(X)),sk5(X))
& r1(X,sk4(X)) )
| ~ r1(sk3,X) )
& r1(sk0,sk3)
& p1(sk2)
& r1(sk1,sk2)
& p60(sk1)
& r1(sk0,sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4,sk5,sk6,sk7,sk8,sk9,sk10,sk11,sk12,sk13,sk14,sk15,sk16,sk17,sk18,sk19,sk20,sk21,sk22,sk23,sk24,sk25,sk26,sk27,sk28,sk29,sk30,sk31,sk32,sk33,sk34,sk35,sk36,sk37,sk38,sk39,sk40,sk41,sk42,sk43,sk44,sk45,sk46,sk47,sk48,sk49,sk50,sk51,sk52,sk53,sk54,sk55,sk56,sk57,sk58,sk59,sk60,sk61,sk62,sk63])],[f2_nnf]) ).
cnf(c300,plain,
( ~ p1(sk63(X0))
| ~ p2(sk63(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f0,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f0_nnf,plain,
! [X] : r1(X,X),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] : r1(X,X),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
r1(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p12905,plain,
( ~ p1(sk63(sk3))
| ~ p2(sk63(sk3)) ),
inference(resolution,[status(thm)],[c300,c0]) ).
cnf(c299,plain,
( p2(sk63(X0))
| p1(sk63(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p12861,plain,
( p2(sk63(sk3))
| p1(sk63(sk3)) ),
inference(resolution,[status(thm)],[c299,c0]) ).
cnf(c180,plain,
( p1(X1)
| ~ p2(X1)
| ~ r1(X0,X1)
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7977,plain,
( p1(X0)
| ~ p2(X0)
| ~ r1(sk3,X0) ),
inference(resolution,[status(thm)],[c180,c0]) ).
cnf(c184,plain,
( r1(X0,sk63(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p350,plain,
r1(sk3,sk63(sk3)),
inference(resolution,[status(thm)],[c184,c0]) ).
cnf(p8020,plain,
( p1(sk63(sk3))
| ~ p2(sk63(sk3)) ),
inference(resolution,[status(thm)],[p7977,p350]) ).
cnf(p12903,plain,
( p1(sk63(sk3))
| p1(sk63(sk3)) ),
inference(resolution,[status(thm)],[p12861,p8020]) ).
cnf(p12947,plain,
p1(sk63(sk3)),
inference(factoring,[status(thm)],[p12903]) ).
cnf(c181,plain,
( ~ p1(X1)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p8058,plain,
( ~ p1(X0)
| p2(X0)
| ~ r1(sk3,X0) ),
inference(resolution,[status(thm)],[c181,c0]) ).
cnf(p8221,plain,
( ~ p1(sk63(sk3))
| p2(sk63(sk3)) ),
inference(resolution,[status(thm)],[p8058,p350]) ).
cnf(p12948,plain,
p2(sk63(sk3)),
inference(resolution,[status(thm)],[p12947,p8221]) ).
cnf(p13038,plain,
~ p1(sk63(sk3)),
inference(resolution,[status(thm)],[p12905,p12948]) ).
cnf(p13039,plain,
$false,
inference(resolution,[status(thm)],[p13038,p12947]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.42 % Computer : n008.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Thu Sep 24 00:20:55 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.75/2.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.75/2.22 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------