%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL645+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 01:10:28 PM UTC 2026
% Result : CounterSatisfiable 0.13s 0.40s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
~ ( ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p2(Y)
& ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p1(Y)
| ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p1(X)
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p2(Y)
& ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
| ~ p1(Y)
| ! [X] :
( p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p3(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p3(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p3(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p4(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p4(Y)
& ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p3(Y)
| ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p3(X)
| ! [Y] :
( p4(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p4(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p4(Y)
& ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
| ~ p3(Y)
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p4(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p4(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p5(Y)
& ! [X] :
( p5(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p4(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p4(Y)
| ! [X] :
( p5(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p4(X)
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p5(Y)
& ! [X] :
( p5(X)
| ~ r1(Y,X) ) )
| ~ p4(Y)
| ! [X] :
( p5(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p5(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p5(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p6(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p6(Y)
& ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p5(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p5(Y)
| ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p5(X)
| ! [Y] :
( p6(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p6(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p6(Y)
& ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
| ~ p5(Y)
| ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p6(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p6(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p7(Y)
& ! [X] :
( p7(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p6(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p6(Y)
| ! [X] :
( p7(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p6(X)
| ! [Y] :
( p7(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p7(Y)
& ! [X] :
( p7(X)
| ~ r1(Y,X) ) )
| ~ p6(Y)
| ! [X] :
( p7(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p7(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p7(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p8(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p8(Y)
& ! [X] :
( p8(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p7(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p7(Y)
| ! [X] :
( p8(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p7(X)
| ! [Y] :
( p8(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p8(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p8(Y)
& ! [X] :
( p8(X)
| ~ r1(Y,X) ) )
| ~ p7(Y)
| ! [X] :
( p8(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p8(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p8(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p9(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p9(Y)
& ! [X] :
( p9(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p8(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p8(Y)
| ! [X] :
( p9(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p8(X)
| ! [Y] :
( p9(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p9(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p9(Y)
& ! [X] :
( p9(X)
| ~ r1(Y,X) ) )
| ~ p8(Y)
| ! [X] :
( p9(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ! [Y] :
( ~ ! [X] :
( p5(X)
| ~ r1(Y,X) )
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( p5(X)
| ~ r1(Y,X) )
| p5(Y)
| ~ r1(X,Y) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p10(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p10(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p11(Y)
& ! [X] :
( p11(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p10(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p10(Y)
| ! [X] :
( p11(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p10(X)
| ! [Y] :
( p11(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p11(Y)
& ! [X] :
( p11(X)
| ~ r1(Y,X) ) )
| ~ p10(Y)
| ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p11(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p11(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p12(Y)
& ! [X] :
( p12(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p11(Y)
| ! [X] :
( p12(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p11(X)
| ! [Y] :
( p12(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p12(Y)
& ! [X] :
( p12(X)
| ~ r1(Y,X) ) )
| ~ p11(Y)
| ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p12(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p12(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p13(Y)
& ! [X] :
( p13(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p12(Y)
| ! [X] :
( p13(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p12(X)
| ! [Y] :
( p13(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p13(Y)
& ! [X] :
( p13(X)
| ~ r1(Y,X) ) )
| ~ p12(Y)
| ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p13(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p13(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p14(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p14(Y)
& ! [X] :
( p14(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p13(Y)
| ! [X] :
( p14(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p13(X)
| ! [Y] :
( p14(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p14(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p14(Y)
& ! [X] :
( p14(X)
| ~ r1(Y,X) ) )
| ~ p13(Y)
| ! [X] :
( p14(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p14(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p14(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p15(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p15(Y)
& ! [X] :
( p15(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p14(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p14(Y)
| ! [X] :
( p15(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p14(X)
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p15(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p15(Y)
& ! [X] :
( p15(X)
| ~ r1(Y,X) ) )
| ~ p14(Y)
| ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p15(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p15(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p16(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p16(Y)
& ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p15(Y)
| ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p15(X)
| ! [Y] :
( p16(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p16(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p16(Y)
& ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ p15(Y)
| ! [X] :
( p16(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p16(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p16(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p17(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p17(Y)
& ! [X] :
( p17(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p16(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p16(Y)
| ! [X] :
( p17(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p16(X)
| ! [Y] :
( p17(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p17(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p17(Y)
& ! [X] :
( p17(X)
| ~ r1(Y,X) ) )
| ~ p16(Y)
| ! [X] :
( p17(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p2(Y)
& ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p1(Y)
| ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p1(X)
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p2(Y)
& ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
| ~ p1(Y)
| ! [X] :
( p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p3(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p3(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p3(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p4(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p4(Y)
& ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p3(Y)
| ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p3(X)
| ! [Y] :
( p4(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p4(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p4(Y)
& ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
| ~ p3(Y)
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p4(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p4(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p5(Y)
& ! [X] :
( p5(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p4(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p4(Y)
| ! [X] :
( p5(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p4(X)
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p5(Y)
& ! [X] :
( p5(X)
| ~ r1(Y,X) ) )
| ~ p4(Y)
| ! [X] :
( p5(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p5(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p5(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p6(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p6(Y)
& ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p5(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p5(Y)
| ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p5(X)
| ! [Y] :
( p6(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p6(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p6(Y)
& ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
| ~ p5(Y)
| ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p6(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p6(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p7(Y)
& ! [X] :
( p7(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p6(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p6(Y)
| ! [X] :
( p7(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p6(X)
| ! [Y] :
( p7(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p7(Y)
& ! [X] :
( p7(X)
| ~ r1(Y,X) ) )
| ~ p6(Y)
| ! [X] :
( p7(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p7(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p7(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p8(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p8(Y)
& ! [X] :
( p8(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p7(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p7(Y)
| ! [X] :
( p8(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p7(X)
| ! [Y] :
( p8(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p8(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p8(Y)
& ! [X] :
( p8(X)
| ~ r1(Y,X) ) )
| ~ p7(Y)
| ! [X] :
( p8(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p8(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p8(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p9(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p9(Y)
& ! [X] :
( p9(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p8(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p8(Y)
| ! [X] :
( p9(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p8(X)
| ! [Y] :
( p9(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p9(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p9(Y)
& ! [X] :
( p9(X)
| ~ r1(Y,X) ) )
| ~ p8(Y)
| ! [X] :
( p9(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ! [Y] :
( ~ ! [X] :
( p5(X)
| ~ r1(Y,X) )
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( p5(X)
| ~ r1(Y,X) )
| p5(Y)
| ~ r1(X,Y) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p10(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p10(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p11(Y)
& ! [X] :
( p11(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p10(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p10(Y)
| ! [X] :
( p11(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p10(X)
| ! [Y] :
( p11(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p11(Y)
& ! [X] :
( p11(X)
| ~ r1(Y,X) ) )
| ~ p10(Y)
| ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p11(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p11(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p12(Y)
& ! [X] :
( p12(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p11(Y)
| ! [X] :
( p12(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p11(X)
| ! [Y] :
( p12(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p12(Y)
& ! [X] :
( p12(X)
| ~ r1(Y,X) ) )
| ~ p11(Y)
| ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p12(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p12(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p13(Y)
& ! [X] :
( p13(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p12(Y)
| ! [X] :
( p13(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p12(X)
| ! [Y] :
( p13(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p13(Y)
& ! [X] :
( p13(X)
| ~ r1(Y,X) ) )
| ~ p12(Y)
| ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p13(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p13(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p14(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p14(Y)
& ! [X] :
( p14(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p13(Y)
| ! [X] :
( p14(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p13(X)
| ! [Y] :
( p14(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p14(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p14(Y)
& ! [X] :
( p14(X)
| ~ r1(Y,X) ) )
| ~ p13(Y)
| ! [X] :
( p14(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p14(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p14(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p15(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p15(Y)
& ! [X] :
( p15(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p14(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p14(Y)
| ! [X] :
( p15(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p14(X)
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p15(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p15(Y)
& ! [X] :
( p15(X)
| ~ r1(Y,X) ) )
| ~ p14(Y)
| ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p15(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p15(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p16(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p16(Y)
& ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p15(Y)
| ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p15(X)
| ! [Y] :
( p16(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p16(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p16(Y)
& ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ p15(Y)
| ! [X] :
( p16(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ~ ! [X] :
( ~ p16(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ ! [Y] :
( ~ p16(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p17(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p17(Y)
& ! [X] :
( p17(X)
| ~ r1(Y,X) ) )
| ~ ! [X] :
( ~ p16(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ ( ! [Y] :
( ~ ( ( ~ p16(Y)
| ! [X] :
( p17(X)
| ~ r1(Y,X) ) )
& ! [X] :
( ~ p16(X)
| ! [Y] :
( p17(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| p17(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ ( p17(Y)
& ! [X] :
( p17(X)
| ~ r1(Y,X) ) )
| ~ p16(Y)
| ! [X] :
( p17(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
( ( ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p2(Y)
| ? [X] :
( ~ p2(X)
& r1(Y,X) )
| ? [X] :
( p1(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p1(Y)
& ? [X] :
( ~ p2(X)
& r1(Y,X) ) )
| ? [X] :
( p1(X)
& ? [Y] :
( ~ p2(Y)
& r1(X,Y) )
& r1(Y,X) )
| p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p2(Y)
| ? [X] :
( ~ p2(X)
& r1(Y,X) )
| ~ p1(Y)
| ! [X] :
( p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p3(Y)
| ? [X] :
( ~ p3(X)
& r1(Y,X) )
| ? [X] :
( p2(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p2(Y)
& ? [X] :
( ~ p3(X)
& r1(Y,X) ) )
| ? [X] :
( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) )
| p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p3(Y)
| ? [X] :
( ~ p3(X)
& r1(Y,X) )
| ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p3(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p3(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p4(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p4(Y)
| ? [X] :
( ~ p4(X)
& r1(Y,X) )
| ? [X] :
( p3(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p3(Y)
& ? [X] :
( ~ p4(X)
& r1(Y,X) ) )
| ? [X] :
( p3(X)
& ? [Y] :
( ~ p4(Y)
& r1(X,Y) )
& r1(Y,X) )
| p4(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p4(Y)
| ? [X] :
( ~ p4(X)
& r1(Y,X) )
| ~ p3(Y)
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p4(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p4(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p5(Y)
| ? [X] :
( ~ p5(X)
& r1(Y,X) )
| ? [X] :
( p4(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p4(Y)
& ? [X] :
( ~ p5(X)
& r1(Y,X) ) )
| ? [X] :
( p4(X)
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& r1(Y,X) )
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p5(Y)
| ? [X] :
( ~ p5(X)
& r1(Y,X) )
| ~ p4(Y)
| ! [X] :
( p5(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p5(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p5(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p6(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p6(Y)
| ? [X] :
( ~ p6(X)
& r1(Y,X) )
| ? [X] :
( p5(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p5(Y)
& ? [X] :
( ~ p6(X)
& r1(Y,X) ) )
| ? [X] :
( p5(X)
& ? [Y] :
( ~ p6(Y)
& r1(X,Y) )
& r1(Y,X) )
| p6(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p6(Y)
| ? [X] :
( ~ p6(X)
& r1(Y,X) )
| ~ p5(Y)
| ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p6(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p6(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p7(Y)
| ? [X] :
( ~ p7(X)
& r1(Y,X) )
| ? [X] :
( p6(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p6(Y)
& ? [X] :
( ~ p7(X)
& r1(Y,X) ) )
| ? [X] :
( p6(X)
& ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& r1(Y,X) )
| p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p7(Y)
| ? [X] :
( ~ p7(X)
& r1(Y,X) )
| ~ p6(Y)
| ! [X] :
( p7(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p7(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p7(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p8(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p8(Y)
| ? [X] :
( ~ p8(X)
& r1(Y,X) )
| ? [X] :
( p7(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p7(Y)
& ? [X] :
( ~ p8(X)
& r1(Y,X) ) )
| ? [X] :
( p7(X)
& ? [Y] :
( ~ p8(Y)
& r1(X,Y) )
& r1(Y,X) )
| p8(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p8(Y)
| ? [X] :
( ~ p8(X)
& r1(Y,X) )
| ~ p7(Y)
| ! [X] :
( p8(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p8(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p8(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p9(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p9(Y)
| ? [X] :
( ~ p9(X)
& r1(Y,X) )
| ? [X] :
( p8(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p8(Y)
& ? [X] :
( ~ p9(X)
& r1(Y,X) ) )
| ? [X] :
( p8(X)
& ? [Y] :
( ~ p9(Y)
& r1(X,Y) )
& r1(Y,X) )
| p9(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p9(Y)
| ? [X] :
( ~ p9(X)
& r1(Y,X) )
| ~ p8(Y)
| ! [X] :
( p9(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ? [Y] :
( ! [X] :
( p5(X)
| ~ r1(Y,X) )
& ~ p5(Y)
& r1(X,Y) )
& ? [Y] :
( ! [X] :
( p5(X)
| ~ r1(Y,X) )
& ~ p5(Y)
& r1(X,Y) )
& ( ! [Y] :
( ! [X] :
( ~ p10(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p10(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p11(Y)
| ? [X] :
( ~ p11(X)
& r1(Y,X) )
| ? [X] :
( p10(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p10(Y)
& ? [X] :
( ~ p11(X)
& r1(Y,X) ) )
| ? [X] :
( p10(X)
& ? [Y] :
( ~ p11(Y)
& r1(X,Y) )
& r1(Y,X) )
| p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p11(Y)
| ? [X] :
( ~ p11(X)
& r1(Y,X) )
| ~ p10(Y)
| ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p11(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p11(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p12(Y)
| ? [X] :
( ~ p12(X)
& r1(Y,X) )
| ? [X] :
( p11(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p11(Y)
& ? [X] :
( ~ p12(X)
& r1(Y,X) ) )
| ? [X] :
( p11(X)
& ? [Y] :
( ~ p12(Y)
& r1(X,Y) )
& r1(Y,X) )
| p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p12(Y)
| ? [X] :
( ~ p12(X)
& r1(Y,X) )
| ~ p11(Y)
| ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p12(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p12(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p13(Y)
| ? [X] :
( ~ p13(X)
& r1(Y,X) )
| ? [X] :
( p12(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p12(Y)
& ? [X] :
( ~ p13(X)
& r1(Y,X) ) )
| ? [X] :
( p12(X)
& ? [Y] :
( ~ p13(Y)
& r1(X,Y) )
& r1(Y,X) )
| p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p13(Y)
| ? [X] :
( ~ p13(X)
& r1(Y,X) )
| ~ p12(Y)
| ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p13(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p13(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p14(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p14(Y)
| ? [X] :
( ~ p14(X)
& r1(Y,X) )
| ? [X] :
( p13(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p13(Y)
& ? [X] :
( ~ p14(X)
& r1(Y,X) ) )
| ? [X] :
( p13(X)
& ? [Y] :
( ~ p14(Y)
& r1(X,Y) )
& r1(Y,X) )
| p14(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p14(Y)
| ? [X] :
( ~ p14(X)
& r1(Y,X) )
| ~ p13(Y)
| ! [X] :
( p14(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p14(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p14(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p15(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p15(Y)
| ? [X] :
( ~ p15(X)
& r1(Y,X) )
| ? [X] :
( p14(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p14(Y)
& ? [X] :
( ~ p15(X)
& r1(Y,X) ) )
| ? [X] :
( p14(X)
& ? [Y] :
( ~ p15(Y)
& r1(X,Y) )
& r1(Y,X) )
| p15(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p15(Y)
| ? [X] :
( ~ p15(X)
& r1(Y,X) )
| ~ p14(Y)
| ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p15(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p15(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p16(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p16(Y)
| ? [X] :
( ~ p16(X)
& r1(Y,X) )
| ? [X] :
( p15(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p15(Y)
& ? [X] :
( ~ p16(X)
& r1(Y,X) ) )
| ? [X] :
( p15(X)
& ? [Y] :
( ~ p16(Y)
& r1(X,Y) )
& r1(Y,X) )
| p16(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p16(Y)
| ? [X] :
( ~ p16(X)
& r1(Y,X) )
| ~ p15(Y)
| ! [X] :
( p16(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p16(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p16(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p17(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p17(Y)
| ? [X] :
( ~ p17(X)
& r1(Y,X) )
| ? [X] :
( p16(X)
& r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p16(Y)
& ? [X] :
( ~ p17(X)
& r1(Y,X) ) )
| ? [X] :
( p16(X)
& ? [Y] :
( ~ p17(Y)
& r1(X,Y) )
& r1(Y,X) )
| p17(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p17(Y)
| ? [X] :
( ~ p17(X)
& r1(Y,X) )
| ~ p16(Y)
| ! [X] :
( p17(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [Y,X] :
( sP0_prd(X,Y)
<=> ( p16(X)
& ? [Y] :
( ~ p17(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
! [Y,X] :
( sP1_prd(X,Y)
<=> ( p16(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
! [Y,X] :
( sP2_prd(X,Y)
<=> ( p15(X)
& ? [Y] :
( ~ p16(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
! [Y,X] :
( sP3_prd(X,Y)
<=> ( p15(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,definition,
! [Y,X] :
( sP4_prd(X,Y)
<=> ( p14(X)
& ? [Y] :
( ~ p15(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f9,definition,
! [Y,X] :
( sP5_prd(X,Y)
<=> ( p14(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f10,definition,
! [Y,X] :
( sP6_prd(X,Y)
<=> ( p13(X)
& ? [Y] :
( ~ p14(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f11,definition,
! [Y,X] :
( sP7_prd(X,Y)
<=> ( p13(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f12,definition,
! [Y,X] :
( sP8_prd(X,Y)
<=> ( p12(X)
& ? [Y] :
( ~ p13(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f13,definition,
! [Y,X] :
( sP9_prd(X,Y)
<=> ( p12(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f14,definition,
! [Y,X] :
( sP10_prd(X,Y)
<=> ( p11(X)
& ? [Y] :
( ~ p12(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f15,definition,
! [Y,X] :
( sP11_prd(X,Y)
<=> ( p11(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f16,definition,
! [Y,X] :
( sP12_prd(X,Y)
<=> ( p10(X)
& ? [Y] :
( ~ p11(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f17,definition,
! [Y,X] :
( sP13_prd(X,Y)
<=> ( p10(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f18,definition,
! [Y,X] :
( sP14_prd(X,Y)
<=> ( p8(X)
& ? [Y] :
( ~ p9(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f19,definition,
! [Y,X] :
( sP15_prd(X,Y)
<=> ( p8(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f20,definition,
! [Y,X] :
( sP16_prd(X,Y)
<=> ( p7(X)
& ? [Y] :
( ~ p8(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f21,definition,
! [Y,X] :
( sP17_prd(X,Y)
<=> ( p7(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f22,definition,
! [Y,X] :
( sP18_prd(X,Y)
<=> ( p6(X)
& ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f23,definition,
! [Y,X] :
( sP19_prd(X,Y)
<=> ( p6(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f24,definition,
! [Y,X] :
( sP20_prd(X,Y)
<=> ( p5(X)
& ? [Y] :
( ~ p6(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f25,definition,
! [Y,X] :
( sP21_prd(X,Y)
<=> ( p5(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f26,definition,
! [Y,X] :
( sP22_prd(X,Y)
<=> ( p4(X)
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f27,definition,
! [Y,X] :
( sP23_prd(X,Y)
<=> ( p4(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f28,definition,
! [Y,X] :
( sP24_prd(X,Y)
<=> ( p3(X)
& ? [Y] :
( ~ p4(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f29,definition,
! [Y,X] :
( sP25_prd(X,Y)
<=> ( p3(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f30,definition,
! [Y,X] :
( sP26_prd(X,Y)
<=> ( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f31,definition,
! [Y,X] :
( sP27_prd(X,Y)
<=> ( p2(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f32,definition,
! [Y,X] :
( sP28_prd(X,Y)
<=> ( p1(X)
& ? [Y] :
( ~ p2(Y)
& r1(X,Y) )
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f33,definition,
! [Y,X] :
( sP29_prd(X,Y)
<=> ( p1(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f34,plain,
? [X] :
( ( ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p2(Y)
| ? [X] :
( ~ p2(X)
& r1(Y,X) )
| ? [X] : sP29_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p1(Y)
& ? [X] :
( ~ p2(X)
& r1(Y,X) ) )
| ? [X] : sP28_prd(X,Y)
| p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p2(Y)
| ? [X] :
( ~ p2(X)
& r1(Y,X) )
| ~ p1(Y)
| ! [X] :
( p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p2(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p3(Y)
| ? [X] :
( ~ p3(X)
& r1(Y,X) )
| ? [X] : sP27_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p2(Y)
& ? [X] :
( ~ p3(X)
& r1(Y,X) ) )
| ? [X] : sP26_prd(X,Y)
| p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p3(Y)
| ? [X] :
( ~ p3(X)
& r1(Y,X) )
| ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p3(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p3(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p4(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p4(Y)
| ? [X] :
( ~ p4(X)
& r1(Y,X) )
| ? [X] : sP25_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p3(Y)
& ? [X] :
( ~ p4(X)
& r1(Y,X) ) )
| ? [X] : sP24_prd(X,Y)
| p4(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p4(Y)
| ? [X] :
( ~ p4(X)
& r1(Y,X) )
| ~ p3(Y)
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p4(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p4(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p5(Y)
| ? [X] :
( ~ p5(X)
& r1(Y,X) )
| ? [X] : sP23_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p4(Y)
& ? [X] :
( ~ p5(X)
& r1(Y,X) ) )
| ? [X] : sP22_prd(X,Y)
| p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p5(Y)
| ? [X] :
( ~ p5(X)
& r1(Y,X) )
| ~ p4(Y)
| ! [X] :
( p5(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p5(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p5(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p6(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p6(Y)
| ? [X] :
( ~ p6(X)
& r1(Y,X) )
| ? [X] : sP21_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p5(Y)
& ? [X] :
( ~ p6(X)
& r1(Y,X) ) )
| ? [X] : sP20_prd(X,Y)
| p6(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p6(Y)
| ? [X] :
( ~ p6(X)
& r1(Y,X) )
| ~ p5(Y)
| ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p6(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p6(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p7(Y)
| ? [X] :
( ~ p7(X)
& r1(Y,X) )
| ? [X] : sP19_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p6(Y)
& ? [X] :
( ~ p7(X)
& r1(Y,X) ) )
| ? [X] : sP18_prd(X,Y)
| p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p7(Y)
| ? [X] :
( ~ p7(X)
& r1(Y,X) )
| ~ p6(Y)
| ! [X] :
( p7(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p7(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p7(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p8(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p8(Y)
| ? [X] :
( ~ p8(X)
& r1(Y,X) )
| ? [X] : sP17_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p7(Y)
& ? [X] :
( ~ p8(X)
& r1(Y,X) ) )
| ? [X] : sP16_prd(X,Y)
| p8(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p8(Y)
| ? [X] :
( ~ p8(X)
& r1(Y,X) )
| ~ p7(Y)
| ! [X] :
( p8(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p8(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p8(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p9(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p9(Y)
| ? [X] :
( ~ p9(X)
& r1(Y,X) )
| ? [X] : sP15_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p8(Y)
& ? [X] :
( ~ p9(X)
& r1(Y,X) ) )
| ? [X] : sP14_prd(X,Y)
| p9(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p9(Y)
| ? [X] :
( ~ p9(X)
& r1(Y,X) )
| ~ p8(Y)
| ! [X] :
( p9(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ? [Y] :
( ! [X] :
( p5(X)
| ~ r1(Y,X) )
& ~ p5(Y)
& r1(X,Y) )
& ? [Y] :
( ! [X] :
( p5(X)
| ~ r1(Y,X) )
& ~ p5(Y)
& r1(X,Y) )
& ( ! [Y] :
( ! [X] :
( ~ p10(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p10(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p11(Y)
| ? [X] :
( ~ p11(X)
& r1(Y,X) )
| ? [X] : sP13_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p10(Y)
& ? [X] :
( ~ p11(X)
& r1(Y,X) ) )
| ? [X] : sP12_prd(X,Y)
| p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p11(Y)
| ? [X] :
( ~ p11(X)
& r1(Y,X) )
| ~ p10(Y)
| ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p11(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p11(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p12(Y)
| ? [X] :
( ~ p12(X)
& r1(Y,X) )
| ? [X] : sP11_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p11(Y)
& ? [X] :
( ~ p12(X)
& r1(Y,X) ) )
| ? [X] : sP10_prd(X,Y)
| p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p12(Y)
| ? [X] :
( ~ p12(X)
& r1(Y,X) )
| ~ p11(Y)
| ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p12(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p12(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p13(Y)
| ? [X] :
( ~ p13(X)
& r1(Y,X) )
| ? [X] : sP9_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p12(Y)
& ? [X] :
( ~ p13(X)
& r1(Y,X) ) )
| ? [X] : sP8_prd(X,Y)
| p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p13(Y)
| ? [X] :
( ~ p13(X)
& r1(Y,X) )
| ~ p12(Y)
| ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p13(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p13(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p14(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p14(Y)
| ? [X] :
( ~ p14(X)
& r1(Y,X) )
| ? [X] : sP7_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p13(Y)
& ? [X] :
( ~ p14(X)
& r1(Y,X) ) )
| ? [X] : sP6_prd(X,Y)
| p14(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p14(Y)
| ? [X] :
( ~ p14(X)
& r1(Y,X) )
| ~ p13(Y)
| ! [X] :
( p14(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p14(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p14(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p15(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p15(Y)
| ? [X] :
( ~ p15(X)
& r1(Y,X) )
| ? [X] : sP5_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p14(Y)
& ? [X] :
( ~ p15(X)
& r1(Y,X) ) )
| ? [X] : sP4_prd(X,Y)
| p15(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p15(Y)
| ? [X] :
( ~ p15(X)
& r1(Y,X) )
| ~ p14(Y)
| ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p15(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p15(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p16(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p16(Y)
| ? [X] :
( ~ p16(X)
& r1(Y,X) )
| ? [X] : sP3_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p15(Y)
& ? [X] :
( ~ p16(X)
& r1(Y,X) ) )
| ? [X] : sP2_prd(X,Y)
| p16(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p16(Y)
| ? [X] :
( ~ p16(X)
& r1(Y,X) )
| ~ p15(Y)
| ! [X] :
( p16(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p16(X)
| ~ r1(Y,X) )
| ? [X] :
( ! [Y] :
( ~ p16(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
| p17(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p17(Y)
| ? [X] :
( ~ p17(X)
& r1(Y,X) )
| ? [X] : sP1_prd(X,Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( ( p16(Y)
& ? [X] :
( ~ p17(X)
& r1(Y,X) ) )
| ? [X] : sP0_prd(X,Y)
| p17(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p17(Y)
| ? [X] :
( ~ p17(X)
& r1(Y,X) )
| ~ p16(Y)
| ! [X] :
( p17(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ) ),
inference(formula_renaming,[status(thm)],[f3,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5,f4]) ).
fof(f35,plain,
( ( ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p1(Y)
| ~ r1(sK92_skl(Y),Y) )
& r1(Y,sK92_skl(Y)) )
| p2(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p2(Y)
| ( ~ p2(sK91_skl(Y))
& r1(Y,sK91_skl(Y)) )
| sP29_prd(sK90_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p1(Y)
& ~ p2(sK89_skl(Y))
& r1(Y,sK89_skl(Y)) )
| sP28_prd(sK88_skl(Y),Y)
| p2(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p2(Y)
| ( ~ p2(sK87_skl(Y))
& r1(Y,sK87_skl(Y)) )
| ~ p1(Y)
| ! [X] :
( p2(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p2(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p2(Y)
| ~ r1(sK86_skl(Y),Y) )
& r1(Y,sK86_skl(Y)) )
| p3(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p3(Y)
| ( ~ p3(sK85_skl(Y))
& r1(Y,sK85_skl(Y)) )
| sP27_prd(sK84_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p2(Y)
& ~ p3(sK83_skl(Y))
& r1(Y,sK83_skl(Y)) )
| sP26_prd(sK82_skl(Y),Y)
| p3(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p3(Y)
| ( ~ p3(sK81_skl(Y))
& r1(Y,sK81_skl(Y)) )
| ~ p2(Y)
| ! [X] :
( p3(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p3(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p3(Y)
| ~ r1(sK80_skl(Y),Y) )
& r1(Y,sK80_skl(Y)) )
| p4(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p4(Y)
| ( ~ p4(sK79_skl(Y))
& r1(Y,sK79_skl(Y)) )
| sP25_prd(sK78_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p3(Y)
& ~ p4(sK77_skl(Y))
& r1(Y,sK77_skl(Y)) )
| sP24_prd(sK76_skl(Y),Y)
| p4(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p4(Y)
| ( ~ p4(sK75_skl(Y))
& r1(Y,sK75_skl(Y)) )
| ~ p3(Y)
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p4(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p4(Y)
| ~ r1(sK74_skl(Y),Y) )
& r1(Y,sK74_skl(Y)) )
| p5(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p5(Y)
| ( ~ p5(sK73_skl(Y))
& r1(Y,sK73_skl(Y)) )
| sP23_prd(sK72_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p4(Y)
& ~ p5(sK71_skl(Y))
& r1(Y,sK71_skl(Y)) )
| sP22_prd(sK70_skl(Y),Y)
| p5(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p5(Y)
| ( ~ p5(sK69_skl(Y))
& r1(Y,sK69_skl(Y)) )
| ~ p4(Y)
| ! [X] :
( p5(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p5(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p5(Y)
| ~ r1(sK68_skl(Y),Y) )
& r1(Y,sK68_skl(Y)) )
| p6(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p6(Y)
| ( ~ p6(sK67_skl(Y))
& r1(Y,sK67_skl(Y)) )
| sP21_prd(sK66_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p5(Y)
& ~ p6(sK65_skl(Y))
& r1(Y,sK65_skl(Y)) )
| sP20_prd(sK64_skl(Y),Y)
| p6(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p6(Y)
| ( ~ p6(sK63_skl(Y))
& r1(Y,sK63_skl(Y)) )
| ~ p5(Y)
| ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p6(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p6(Y)
| ~ r1(sK62_skl(Y),Y) )
& r1(Y,sK62_skl(Y)) )
| p7(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p7(Y)
| ( ~ p7(sK61_skl(Y))
& r1(Y,sK61_skl(Y)) )
| sP19_prd(sK60_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p6(Y)
& ~ p7(sK59_skl(Y))
& r1(Y,sK59_skl(Y)) )
| sP18_prd(sK58_skl(Y),Y)
| p7(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p7(Y)
| ( ~ p7(sK57_skl(Y))
& r1(Y,sK57_skl(Y)) )
| ~ p6(Y)
| ! [X] :
( p7(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p7(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p7(Y)
| ~ r1(sK56_skl(Y),Y) )
& r1(Y,sK56_skl(Y)) )
| p8(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p8(Y)
| ( ~ p8(sK55_skl(Y))
& r1(Y,sK55_skl(Y)) )
| sP17_prd(sK54_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p7(Y)
& ~ p8(sK53_skl(Y))
& r1(Y,sK53_skl(Y)) )
| sP16_prd(sK52_skl(Y),Y)
| p8(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p8(Y)
| ( ~ p8(sK51_skl(Y))
& r1(Y,sK51_skl(Y)) )
| ~ p7(Y)
| ! [X] :
( p8(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p8(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p8(Y)
| ~ r1(sK50_skl(Y),Y) )
& r1(Y,sK50_skl(Y)) )
| p9(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p9(Y)
| ( ~ p9(sK49_skl(Y))
& r1(Y,sK49_skl(Y)) )
| sP15_prd(sK48_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p8(Y)
& ~ p9(sK47_skl(Y))
& r1(Y,sK47_skl(Y)) )
| sP14_prd(sK46_skl(Y),Y)
| p9(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p9(Y)
| ( ~ p9(sK45_skl(Y))
& r1(Y,sK45_skl(Y)) )
| ~ p8(Y)
| ! [X] :
( p9(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ! [X] :
( p5(X)
| ~ r1(sK44_skl,X) )
& ~ p5(sK44_skl)
& r1(sK0_skl,sK44_skl)
& ! [X] :
( p5(X)
| ~ r1(sK43_skl,X) )
& ~ p5(sK43_skl)
& r1(sK0_skl,sK43_skl)
& ( ! [Y] :
( ! [X] :
( ~ p10(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p10(Y)
| ~ r1(sK42_skl(Y),Y) )
& r1(Y,sK42_skl(Y)) )
| p11(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p11(Y)
| ( ~ p11(sK41_skl(Y))
& r1(Y,sK41_skl(Y)) )
| sP13_prd(sK40_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p10(Y)
& ~ p11(sK39_skl(Y))
& r1(Y,sK39_skl(Y)) )
| sP12_prd(sK38_skl(Y),Y)
| p11(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p11(Y)
| ( ~ p11(sK37_skl(Y))
& r1(Y,sK37_skl(Y)) )
| ~ p10(Y)
| ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p11(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p11(Y)
| ~ r1(sK36_skl(Y),Y) )
& r1(Y,sK36_skl(Y)) )
| p12(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p12(Y)
| ( ~ p12(sK35_skl(Y))
& r1(Y,sK35_skl(Y)) )
| sP11_prd(sK34_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p11(Y)
& ~ p12(sK33_skl(Y))
& r1(Y,sK33_skl(Y)) )
| sP10_prd(sK32_skl(Y),Y)
| p12(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p12(Y)
| ( ~ p12(sK31_skl(Y))
& r1(Y,sK31_skl(Y)) )
| ~ p11(Y)
| ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p12(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p12(Y)
| ~ r1(sK30_skl(Y),Y) )
& r1(Y,sK30_skl(Y)) )
| p13(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p13(Y)
| ( ~ p13(sK29_skl(Y))
& r1(Y,sK29_skl(Y)) )
| sP9_prd(sK28_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p12(Y)
& ~ p13(sK27_skl(Y))
& r1(Y,sK27_skl(Y)) )
| sP8_prd(sK26_skl(Y),Y)
| p13(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p13(Y)
| ( ~ p13(sK25_skl(Y))
& r1(Y,sK25_skl(Y)) )
| ~ p12(Y)
| ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p13(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p13(Y)
| ~ r1(sK24_skl(Y),Y) )
& r1(Y,sK24_skl(Y)) )
| p14(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p14(Y)
| ( ~ p14(sK23_skl(Y))
& r1(Y,sK23_skl(Y)) )
| sP7_prd(sK22_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p13(Y)
& ~ p14(sK21_skl(Y))
& r1(Y,sK21_skl(Y)) )
| sP6_prd(sK20_skl(Y),Y)
| p14(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p14(Y)
| ( ~ p14(sK19_skl(Y))
& r1(Y,sK19_skl(Y)) )
| ~ p13(Y)
| ! [X] :
( p14(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p14(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p14(Y)
| ~ r1(sK18_skl(Y),Y) )
& r1(Y,sK18_skl(Y)) )
| p15(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p15(Y)
| ( ~ p15(sK17_skl(Y))
& r1(Y,sK17_skl(Y)) )
| sP5_prd(sK16_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p14(Y)
& ~ p15(sK15_skl(Y))
& r1(Y,sK15_skl(Y)) )
| sP4_prd(sK14_skl(Y),Y)
| p15(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p15(Y)
| ( ~ p15(sK13_skl(Y))
& r1(Y,sK13_skl(Y)) )
| ~ p14(Y)
| ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p15(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p15(Y)
| ~ r1(sK12_skl(Y),Y) )
& r1(Y,sK12_skl(Y)) )
| p16(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p16(Y)
| ( ~ p16(sK11_skl(Y))
& r1(Y,sK11_skl(Y)) )
| sP3_prd(sK10_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p15(Y)
& ~ p16(sK9_skl(Y))
& r1(Y,sK9_skl(Y)) )
| sP2_prd(sK8_skl(Y),Y)
| p16(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p16(Y)
| ( ~ p16(sK7_skl(Y))
& r1(Y,sK7_skl(Y)) )
| ~ p15(Y)
| ! [X] :
( p16(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ! [X] :
( ~ p16(X)
| ~ r1(Y,X) )
| ( ! [Y] :
( ~ p16(Y)
| ~ r1(sK6_skl(Y),Y) )
& r1(Y,sK6_skl(Y)) )
| p17(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p17(Y)
| ( ~ p17(sK5_skl(Y))
& r1(Y,sK5_skl(Y)) )
| sP1_prd(sK4_skl(Y),Y)
| ~ r1(sK0_skl,Y) ) )
& ( ! [Y] :
( ( p16(Y)
& ~ p17(sK3_skl(Y))
& r1(Y,sK3_skl(Y)) )
| sP0_prd(sK2_skl(Y),Y)
| p17(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( ~ p17(Y)
| ( ~ p17(sK1_skl(Y))
& r1(Y,sK1_skl(Y)) )
| ~ p16(Y)
| ! [X] :
( p17(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) ) ),
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,sK49_skl,sK50_skl,sK51_skl,sK52_skl,sK53_skl,sK54_skl,sK55_skl,sK56_skl,sK57_skl,sK58_skl,sK59_skl,sK60_skl,sK61_skl,sK62_skl,sK63_skl,sK64_skl,sK65_skl,sK66_skl,sK67_skl,sK68_skl,sK69_skl,sK70_skl,sK71_skl,sK72_skl,sK73_skl,sK74_skl,sK75_skl,sK76_skl,sK77_skl,sK78_skl,sK79_skl,sK80_skl,sK81_skl,sK82_skl,sK83_skl,sK84_skl,sK85_skl,sK86_skl,sK87_skl,sK88_skl,sK89_skl,sK90_skl,sK91_skl,sK92_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y)),skolemize(X,sK2_skl(Y)),skolemize(X,sK3_skl(Y)),skolemize(X,sK4_skl(Y)),skolemize(X,sK5_skl(Y)),skolemize(X,sK6_skl(Y)),skolemize(X,sK7_skl(Y)),skolemize(X,sK8_skl(Y)),skolemize(X,sK9_skl(Y)),skolemize(X,sK10_skl(Y)),skolemize(X,sK11_skl(Y)),skolemize(X,sK12_skl(Y)),skolemize(X,sK13_skl(Y)),skolemize(X,sK14_skl(Y)),skolemize(X,sK15_skl(Y)),skolemize(X,sK16_skl(Y)),skolemize(X,sK17_skl(Y)),skolemize(X,sK18_skl(Y)),skolemize(X,sK19_skl(Y)),skolemize(X,sK20_skl(Y)),skolemize(X,sK21_skl(Y)),skolemize(X,sK22_skl(Y)),skolemize(X,sK23_skl(Y)),skolemize(X,sK24_skl(Y)),skolemize(X,sK25_skl(Y)),skolemize(X,sK26_skl(Y)),skolemize(X,sK27_skl(Y)),skolemize(X,sK28_skl(Y)),skolemize(X,sK29_skl(Y)),skolemize(X,sK30_skl(Y)),skolemize(X,sK31_skl(Y)),skolemize(X,sK32_skl(Y)),skolemize(X,sK33_skl(Y)),skolemize(X,sK34_skl(Y)),skolemize(X,sK35_skl(Y)),skolemize(X,sK36_skl(Y)),skolemize(X,sK37_skl(Y)),skolemize(X,sK38_skl(Y)),skolemize(X,sK39_skl(Y)),skolemize(X,sK40_skl(Y)),skolemize(X,sK41_skl(Y)),skolemize(X,sK42_skl(Y)),skolemize(Y,sK43_skl),skolemize(Y,sK44_skl),skolemize(X,sK45_skl(Y)),skolemize(X,sK46_skl(Y)),skolemize(X,sK47_skl(Y)),skolemize(X,sK48_skl(Y)),skolemize(X,sK49_skl(Y)),skolemize(X,sK50_skl(Y)),skolemize(X,sK51_skl(Y)),skolemize(X,sK52_skl(Y)),skolemize(X,sK53_skl(Y)),skolemize(X,sK54_skl(Y)),skolemize(X,sK55_skl(Y)),skolemize(X,sK56_skl(Y)),skolemize(X,sK57_skl(Y)),skolemize(X,sK58_skl(Y)),skolemize(X,sK59_skl(Y)),skolemize(X,sK60_skl(Y)),skolemize(X,sK61_skl(Y)),skolemize(X,sK62_skl(Y)),skolemize(X,sK63_skl(Y)),skolemize(X,sK64_skl(Y)),skolemize(X,sK65_skl(Y)),skolemize(X,sK66_skl(Y)),skolemize(X,sK67_skl(Y)),skolemize(X,sK68_skl(Y)),skolemize(X,sK69_skl(Y)),skolemize(X,sK70_skl(Y)),skolemize(X,sK71_skl(Y)),skolemize(X,sK72_skl(Y)),skolemize(X,sK73_skl(Y)),skolemize(X,sK74_skl(Y)),skolemize(X,sK75_skl(Y)),skolemize(X,sK76_skl(Y)),skolemize(X,sK77_skl(Y)),skolemize(X,sK78_skl(Y)),skolemize(X,sK79_skl(Y)),skolemize(X,sK80_skl(Y)),skolemize(X,sK81_skl(Y)),skolemize(X,sK82_skl(Y)),skolemize(X,sK83_skl(Y)),skolemize(X,sK84_skl(Y)),skolemize(X,sK85_skl(Y)),skolemize(X,sK86_skl(Y)),skolemize(X,sK87_skl(Y)),skolemize(X,sK88_skl(Y)),skolemize(X,sK89_skl(Y)),skolemize(X,sK90_skl(Y)),skolemize(X,sK91_skl(Y)),skolemize(X,sK92_skl(Y))],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( r1(X2,sK3_skl(X2))
| sP0_prd(sK2_skl(X2),X2)
| p17(X2)
| ~ r1(sK0_skl,X2)
| ~ p17(X0)
| r1(X0,sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ p17(sK3_skl(X2))
| sP0_prd(sK2_skl(X2),X2)
| p17(X2)
| ~ r1(sK0_skl,X2)
| ~ p17(X0)
| r1(X0,sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [X0,X1,X2] :
( p16(X2)
| sP0_prd(sK2_skl(X2),X2)
| p17(X2)
| ~ r1(sK0_skl,X2)
| ~ p17(X0)
| r1(X0,sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f39,plain,
! [X0,X1,X2] :
( r1(X2,sK3_skl(X2))
| sP0_prd(sK2_skl(X2),X2)
| p17(X2)
| ~ r1(sK0_skl,X2)
| ~ p17(X0)
| ~ p17(sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ p17(sK3_skl(X2))
| sP0_prd(sK2_skl(X2),X2)
| p17(X2)
| ~ r1(sK0_skl,X2)
| ~ p17(X0)
| ~ p17(sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f41,plain,
! [X0,X1,X2] :
( p16(X2)
| sP0_prd(sK2_skl(X2),X2)
| p17(X2)
| ~ r1(sK0_skl,X2)
| ~ p17(X0)
| ~ p17(sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ p16(X2)
| ~ r1(X1,X2)
| r1(X1,sK6_skl(X1))
| p17(X1)
| ~ r1(sK0_skl,X1)
| ~ p17(X0)
| r1(X0,sK5_skl(X0))
| sP1_prd(sK4_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ~ p16(X3)
| ~ r1(X1,X3)
| ~ p16(X2)
| ~ r1(sK6_skl(X1),X2)
| p17(X1)
| ~ r1(sK0_skl,X1)
| ~ p17(X0)
| r1(X0,sK5_skl(X0))
| sP1_prd(sK4_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ p16(X2)
| ~ r1(X1,X2)
| r1(X1,sK6_skl(X1))
| p17(X1)
| ~ r1(sK0_skl,X1)
| ~ p17(X0)
| ~ p17(sK5_skl(X0))
| sP1_prd(sK4_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ p16(X3)
| ~ r1(X1,X3)
| ~ p16(X2)
| ~ r1(sK6_skl(X1),X2)
| p17(X1)
| ~ r1(sK0_skl,X1)
| ~ p17(X0)
| ~ p17(sK5_skl(X0))
| sP1_prd(sK4_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f46,plain,
! [X0,X1,X2] :
( r1(X2,sK9_skl(X2))
| sP2_prd(sK8_skl(X2),X2)
| p16(X2)
| ~ r1(sK0_skl,X2)
| ~ p16(X0)
| r1(X0,sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ p16(sK9_skl(X2))
| sP2_prd(sK8_skl(X2),X2)
| p16(X2)
| ~ r1(sK0_skl,X2)
| ~ p16(X0)
| r1(X0,sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f48,plain,
! [X0,X1,X2] :
( p15(X2)
| sP2_prd(sK8_skl(X2),X2)
| p16(X2)
| ~ r1(sK0_skl,X2)
| ~ p16(X0)
| r1(X0,sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f49,plain,
! [X0,X1,X2] :
( r1(X2,sK9_skl(X2))
| sP2_prd(sK8_skl(X2),X2)
| p16(X2)
| ~ r1(sK0_skl,X2)
| ~ p16(X0)
| ~ p16(sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ p16(sK9_skl(X2))
| sP2_prd(sK8_skl(X2),X2)
| p16(X2)
| ~ r1(sK0_skl,X2)
| ~ p16(X0)
| ~ p16(sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f51,plain,
! [X0,X1,X2] :
( p15(X2)
| sP2_prd(sK8_skl(X2),X2)
| p16(X2)
| ~ r1(sK0_skl,X2)
| ~ p16(X0)
| ~ p16(sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ p15(X2)
| ~ r1(X1,X2)
| r1(X1,sK12_skl(X1))
| p16(X1)
| ~ r1(sK0_skl,X1)
| ~ p16(X0)
| r1(X0,sK11_skl(X0))
| sP3_prd(sK10_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ~ p15(X3)
| ~ r1(X1,X3)
| ~ p15(X2)
| ~ r1(sK12_skl(X1),X2)
| p16(X1)
| ~ r1(sK0_skl,X1)
| ~ p16(X0)
| r1(X0,sK11_skl(X0))
| sP3_prd(sK10_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ p15(X2)
| ~ r1(X1,X2)
| r1(X1,sK12_skl(X1))
| p16(X1)
| ~ r1(sK0_skl,X1)
| ~ p16(X0)
| ~ p16(sK11_skl(X0))
| sP3_prd(sK10_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( ~ p15(X3)
| ~ r1(X1,X3)
| ~ p15(X2)
| ~ r1(sK12_skl(X1),X2)
| p16(X1)
| ~ r1(sK0_skl,X1)
| ~ p16(X0)
| ~ p16(sK11_skl(X0))
| sP3_prd(sK10_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f56,plain,
! [X0,X1,X2] :
( r1(X2,sK15_skl(X2))
| sP4_prd(sK14_skl(X2),X2)
| p15(X2)
| ~ r1(sK0_skl,X2)
| ~ p15(X0)
| r1(X0,sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ p15(sK15_skl(X2))
| sP4_prd(sK14_skl(X2),X2)
| p15(X2)
| ~ r1(sK0_skl,X2)
| ~ p15(X0)
| r1(X0,sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f58,plain,
! [X0,X1,X2] :
( p14(X2)
| sP4_prd(sK14_skl(X2),X2)
| p15(X2)
| ~ r1(sK0_skl,X2)
| ~ p15(X0)
| r1(X0,sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f59,plain,
! [X0,X1,X2] :
( r1(X2,sK15_skl(X2))
| sP4_prd(sK14_skl(X2),X2)
| p15(X2)
| ~ r1(sK0_skl,X2)
| ~ p15(X0)
| ~ p15(sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ p15(sK15_skl(X2))
| sP4_prd(sK14_skl(X2),X2)
| p15(X2)
| ~ r1(sK0_skl,X2)
| ~ p15(X0)
| ~ p15(sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f61,plain,
! [X0,X1,X2] :
( p14(X2)
| sP4_prd(sK14_skl(X2),X2)
| p15(X2)
| ~ r1(sK0_skl,X2)
| ~ p15(X0)
| ~ p15(sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ p14(X2)
| ~ r1(X1,X2)
| r1(X1,sK18_skl(X1))
| p15(X1)
| ~ r1(sK0_skl,X1)
| ~ p15(X0)
| r1(X0,sK17_skl(X0))
| sP5_prd(sK16_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ~ p14(X3)
| ~ r1(X1,X3)
| ~ p14(X2)
| ~ r1(sK18_skl(X1),X2)
| p15(X1)
| ~ r1(sK0_skl,X1)
| ~ p15(X0)
| r1(X0,sK17_skl(X0))
| sP5_prd(sK16_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ p14(X2)
| ~ r1(X1,X2)
| r1(X1,sK18_skl(X1))
| p15(X1)
| ~ r1(sK0_skl,X1)
| ~ p15(X0)
| ~ p15(sK17_skl(X0))
| sP5_prd(sK16_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ p14(X3)
| ~ r1(X1,X3)
| ~ p14(X2)
| ~ r1(sK18_skl(X1),X2)
| p15(X1)
| ~ r1(sK0_skl,X1)
| ~ p15(X0)
| ~ p15(sK17_skl(X0))
| sP5_prd(sK16_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f66,plain,
! [X0,X1,X2] :
( r1(X2,sK21_skl(X2))
| sP6_prd(sK20_skl(X2),X2)
| p14(X2)
| ~ r1(sK0_skl,X2)
| ~ p14(X0)
| r1(X0,sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ p14(sK21_skl(X2))
| sP6_prd(sK20_skl(X2),X2)
| p14(X2)
| ~ r1(sK0_skl,X2)
| ~ p14(X0)
| r1(X0,sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f68,plain,
! [X0,X1,X2] :
( p13(X2)
| sP6_prd(sK20_skl(X2),X2)
| p14(X2)
| ~ r1(sK0_skl,X2)
| ~ p14(X0)
| r1(X0,sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f69,plain,
! [X0,X1,X2] :
( r1(X2,sK21_skl(X2))
| sP6_prd(sK20_skl(X2),X2)
| p14(X2)
| ~ r1(sK0_skl,X2)
| ~ p14(X0)
| ~ p14(sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ p14(sK21_skl(X2))
| sP6_prd(sK20_skl(X2),X2)
| p14(X2)
| ~ r1(sK0_skl,X2)
| ~ p14(X0)
| ~ p14(sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f71,plain,
! [X0,X1,X2] :
( p13(X2)
| sP6_prd(sK20_skl(X2),X2)
| p14(X2)
| ~ r1(sK0_skl,X2)
| ~ p14(X0)
| ~ p14(sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ p13(X2)
| ~ r1(X1,X2)
| r1(X1,sK24_skl(X1))
| p14(X1)
| ~ r1(sK0_skl,X1)
| ~ p14(X0)
| r1(X0,sK23_skl(X0))
| sP7_prd(sK22_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ p13(X3)
| ~ r1(X1,X3)
| ~ p13(X2)
| ~ r1(sK24_skl(X1),X2)
| p14(X1)
| ~ r1(sK0_skl,X1)
| ~ p14(X0)
| r1(X0,sK23_skl(X0))
| sP7_prd(sK22_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ p13(X2)
| ~ r1(X1,X2)
| r1(X1,sK24_skl(X1))
| p14(X1)
| ~ r1(sK0_skl,X1)
| ~ p14(X0)
| ~ p14(sK23_skl(X0))
| sP7_prd(sK22_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ p13(X3)
| ~ r1(X1,X3)
| ~ p13(X2)
| ~ r1(sK24_skl(X1),X2)
| p14(X1)
| ~ r1(sK0_skl,X1)
| ~ p14(X0)
| ~ p14(sK23_skl(X0))
| sP7_prd(sK22_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f76,plain,
! [X0,X1,X2] :
( r1(X2,sK27_skl(X2))
| sP8_prd(sK26_skl(X2),X2)
| p13(X2)
| ~ r1(sK0_skl,X2)
| ~ p13(X0)
| r1(X0,sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ p13(sK27_skl(X2))
| sP8_prd(sK26_skl(X2),X2)
| p13(X2)
| ~ r1(sK0_skl,X2)
| ~ p13(X0)
| r1(X0,sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f78,plain,
! [X0,X1,X2] :
( p12(X2)
| sP8_prd(sK26_skl(X2),X2)
| p13(X2)
| ~ r1(sK0_skl,X2)
| ~ p13(X0)
| r1(X0,sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f79,plain,
! [X0,X1,X2] :
( r1(X2,sK27_skl(X2))
| sP8_prd(sK26_skl(X2),X2)
| p13(X2)
| ~ r1(sK0_skl,X2)
| ~ p13(X0)
| ~ p13(sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ p13(sK27_skl(X2))
| sP8_prd(sK26_skl(X2),X2)
| p13(X2)
| ~ r1(sK0_skl,X2)
| ~ p13(X0)
| ~ p13(sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f81,plain,
! [X0,X1,X2] :
( p12(X2)
| sP8_prd(sK26_skl(X2),X2)
| p13(X2)
| ~ r1(sK0_skl,X2)
| ~ p13(X0)
| ~ p13(sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ p12(X2)
| ~ r1(X1,X2)
| r1(X1,sK30_skl(X1))
| p13(X1)
| ~ r1(sK0_skl,X1)
| ~ p13(X0)
| r1(X0,sK29_skl(X0))
| sP9_prd(sK28_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ~ p12(X3)
| ~ r1(X1,X3)
| ~ p12(X2)
| ~ r1(sK30_skl(X1),X2)
| p13(X1)
| ~ r1(sK0_skl,X1)
| ~ p13(X0)
| r1(X0,sK29_skl(X0))
| sP9_prd(sK28_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ p12(X2)
| ~ r1(X1,X2)
| r1(X1,sK30_skl(X1))
| p13(X1)
| ~ r1(sK0_skl,X1)
| ~ p13(X0)
| ~ p13(sK29_skl(X0))
| sP9_prd(sK28_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( ~ p12(X3)
| ~ r1(X1,X3)
| ~ p12(X2)
| ~ r1(sK30_skl(X1),X2)
| p13(X1)
| ~ r1(sK0_skl,X1)
| ~ p13(X0)
| ~ p13(sK29_skl(X0))
| sP9_prd(sK28_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f86,plain,
! [X0,X1,X2] :
( r1(X2,sK33_skl(X2))
| sP10_prd(sK32_skl(X2),X2)
| p12(X2)
| ~ r1(sK0_skl,X2)
| ~ p12(X0)
| r1(X0,sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ p12(sK33_skl(X2))
| sP10_prd(sK32_skl(X2),X2)
| p12(X2)
| ~ r1(sK0_skl,X2)
| ~ p12(X0)
| r1(X0,sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f88,plain,
! [X0,X1,X2] :
( p11(X2)
| sP10_prd(sK32_skl(X2),X2)
| p12(X2)
| ~ r1(sK0_skl,X2)
| ~ p12(X0)
| r1(X0,sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f89,plain,
! [X0,X1,X2] :
( r1(X2,sK33_skl(X2))
| sP10_prd(sK32_skl(X2),X2)
| p12(X2)
| ~ r1(sK0_skl,X2)
| ~ p12(X0)
| ~ p12(sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ p12(sK33_skl(X2))
| sP10_prd(sK32_skl(X2),X2)
| p12(X2)
| ~ r1(sK0_skl,X2)
| ~ p12(X0)
| ~ p12(sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f91,plain,
! [X0,X1,X2] :
( p11(X2)
| sP10_prd(sK32_skl(X2),X2)
| p12(X2)
| ~ r1(sK0_skl,X2)
| ~ p12(X0)
| ~ p12(sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ p11(X2)
| ~ r1(X1,X2)
| r1(X1,sK36_skl(X1))
| p12(X1)
| ~ r1(sK0_skl,X1)
| ~ p12(X0)
| r1(X0,sK35_skl(X0))
| sP11_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ~ p11(X3)
| ~ r1(X1,X3)
| ~ p11(X2)
| ~ r1(sK36_skl(X1),X2)
| p12(X1)
| ~ r1(sK0_skl,X1)
| ~ p12(X0)
| r1(X0,sK35_skl(X0))
| sP11_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ p11(X2)
| ~ r1(X1,X2)
| r1(X1,sK36_skl(X1))
| p12(X1)
| ~ r1(sK0_skl,X1)
| ~ p12(X0)
| ~ p12(sK35_skl(X0))
| sP11_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( ~ p11(X3)
| ~ r1(X1,X3)
| ~ p11(X2)
| ~ r1(sK36_skl(X1),X2)
| p12(X1)
| ~ r1(sK0_skl,X1)
| ~ p12(X0)
| ~ p12(sK35_skl(X0))
| sP11_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f96,plain,
! [X0,X1,X2] :
( r1(X2,sK39_skl(X2))
| sP12_prd(sK38_skl(X2),X2)
| p11(X2)
| ~ r1(sK0_skl,X2)
| ~ p11(X0)
| r1(X0,sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ p11(sK39_skl(X2))
| sP12_prd(sK38_skl(X2),X2)
| p11(X2)
| ~ r1(sK0_skl,X2)
| ~ p11(X0)
| r1(X0,sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f98,plain,
! [X0,X1,X2] :
( p10(X2)
| sP12_prd(sK38_skl(X2),X2)
| p11(X2)
| ~ r1(sK0_skl,X2)
| ~ p11(X0)
| r1(X0,sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f99,plain,
! [X0,X1,X2] :
( r1(X2,sK39_skl(X2))
| sP12_prd(sK38_skl(X2),X2)
| p11(X2)
| ~ r1(sK0_skl,X2)
| ~ p11(X0)
| ~ p11(sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ p11(sK39_skl(X2))
| sP12_prd(sK38_skl(X2),X2)
| p11(X2)
| ~ r1(sK0_skl,X2)
| ~ p11(X0)
| ~ p11(sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f101,plain,
! [X0,X1,X2] :
( p10(X2)
| sP12_prd(sK38_skl(X2),X2)
| p11(X2)
| ~ r1(sK0_skl,X2)
| ~ p11(X0)
| ~ p11(sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ p10(X2)
| ~ r1(X1,X2)
| r1(X1,sK42_skl(X1))
| p11(X1)
| ~ r1(sK0_skl,X1)
| ~ p11(X0)
| r1(X0,sK41_skl(X0))
| sP13_prd(sK40_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ p10(X3)
| ~ r1(X1,X3)
| ~ p10(X2)
| ~ r1(sK42_skl(X1),X2)
| p11(X1)
| ~ r1(sK0_skl,X1)
| ~ p11(X0)
| r1(X0,sK41_skl(X0))
| sP13_prd(sK40_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ p10(X2)
| ~ r1(X1,X2)
| r1(X1,sK42_skl(X1))
| p11(X1)
| ~ r1(sK0_skl,X1)
| ~ p11(X0)
| ~ p11(sK41_skl(X0))
| sP13_prd(sK40_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ~ p10(X3)
| ~ r1(X1,X3)
| ~ p10(X2)
| ~ r1(sK42_skl(X1),X2)
| p11(X1)
| ~ r1(sK0_skl,X1)
| ~ p11(X0)
| ~ p11(sK41_skl(X0))
| sP13_prd(sK40_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f106,plain,
r1(sK0_skl,sK43_skl),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f107,plain,
~ p5(sK43_skl),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f108,plain,
! [X0] :
( p5(X0)
| ~ r1(sK43_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f109,plain,
r1(sK0_skl,sK44_skl),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f110,plain,
~ p5(sK44_skl),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f111,plain,
! [X0] :
( p5(X0)
| ~ r1(sK44_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f112,plain,
! [X0,X1,X2] :
( r1(X2,sK47_skl(X2))
| sP14_prd(sK46_skl(X2),X2)
| p9(X2)
| ~ r1(sK0_skl,X2)
| ~ p9(X0)
| r1(X0,sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ p9(sK47_skl(X2))
| sP14_prd(sK46_skl(X2),X2)
| p9(X2)
| ~ r1(sK0_skl,X2)
| ~ p9(X0)
| r1(X0,sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f114,plain,
! [X0,X1,X2] :
( p8(X2)
| sP14_prd(sK46_skl(X2),X2)
| p9(X2)
| ~ r1(sK0_skl,X2)
| ~ p9(X0)
| r1(X0,sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f115,plain,
! [X0,X1,X2] :
( r1(X2,sK47_skl(X2))
| sP14_prd(sK46_skl(X2),X2)
| p9(X2)
| ~ r1(sK0_skl,X2)
| ~ p9(X0)
| ~ p9(sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ p9(sK47_skl(X2))
| sP14_prd(sK46_skl(X2),X2)
| p9(X2)
| ~ r1(sK0_skl,X2)
| ~ p9(X0)
| ~ p9(sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f117,plain,
! [X0,X1,X2] :
( p8(X2)
| sP14_prd(sK46_skl(X2),X2)
| p9(X2)
| ~ r1(sK0_skl,X2)
| ~ p9(X0)
| ~ p9(sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ p8(X2)
| ~ r1(X1,X2)
| r1(X1,sK50_skl(X1))
| p9(X1)
| ~ r1(sK0_skl,X1)
| ~ p9(X0)
| r1(X0,sK49_skl(X0))
| sP15_prd(sK48_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ p8(X3)
| ~ r1(X1,X3)
| ~ p8(X2)
| ~ r1(sK50_skl(X1),X2)
| p9(X1)
| ~ r1(sK0_skl,X1)
| ~ p9(X0)
| r1(X0,sK49_skl(X0))
| sP15_prd(sK48_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ p8(X2)
| ~ r1(X1,X2)
| r1(X1,sK50_skl(X1))
| p9(X1)
| ~ r1(sK0_skl,X1)
| ~ p9(X0)
| ~ p9(sK49_skl(X0))
| sP15_prd(sK48_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ~ p8(X3)
| ~ r1(X1,X3)
| ~ p8(X2)
| ~ r1(sK50_skl(X1),X2)
| p9(X1)
| ~ r1(sK0_skl,X1)
| ~ p9(X0)
| ~ p9(sK49_skl(X0))
| sP15_prd(sK48_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f122,plain,
! [X0,X1,X2] :
( r1(X2,sK53_skl(X2))
| sP16_prd(sK52_skl(X2),X2)
| p8(X2)
| ~ r1(sK0_skl,X2)
| ~ p8(X0)
| r1(X0,sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ p8(sK53_skl(X2))
| sP16_prd(sK52_skl(X2),X2)
| p8(X2)
| ~ r1(sK0_skl,X2)
| ~ p8(X0)
| r1(X0,sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f124,plain,
! [X0,X1,X2] :
( p7(X2)
| sP16_prd(sK52_skl(X2),X2)
| p8(X2)
| ~ r1(sK0_skl,X2)
| ~ p8(X0)
| r1(X0,sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f125,plain,
! [X0,X1,X2] :
( r1(X2,sK53_skl(X2))
| sP16_prd(sK52_skl(X2),X2)
| p8(X2)
| ~ r1(sK0_skl,X2)
| ~ p8(X0)
| ~ p8(sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ~ p8(sK53_skl(X2))
| sP16_prd(sK52_skl(X2),X2)
| p8(X2)
| ~ r1(sK0_skl,X2)
| ~ p8(X0)
| ~ p8(sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f127,plain,
! [X0,X1,X2] :
( p7(X2)
| sP16_prd(sK52_skl(X2),X2)
| p8(X2)
| ~ r1(sK0_skl,X2)
| ~ p8(X0)
| ~ p8(sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ p7(X2)
| ~ r1(X1,X2)
| r1(X1,sK56_skl(X1))
| p8(X1)
| ~ r1(sK0_skl,X1)
| ~ p8(X0)
| r1(X0,sK55_skl(X0))
| sP17_prd(sK54_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ p7(X3)
| ~ r1(X1,X3)
| ~ p7(X2)
| ~ r1(sK56_skl(X1),X2)
| p8(X1)
| ~ r1(sK0_skl,X1)
| ~ p8(X0)
| r1(X0,sK55_skl(X0))
| sP17_prd(sK54_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ p7(X2)
| ~ r1(X1,X2)
| r1(X1,sK56_skl(X1))
| p8(X1)
| ~ r1(sK0_skl,X1)
| ~ p8(X0)
| ~ p8(sK55_skl(X0))
| sP17_prd(sK54_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ~ p7(X3)
| ~ r1(X1,X3)
| ~ p7(X2)
| ~ r1(sK56_skl(X1),X2)
| p8(X1)
| ~ r1(sK0_skl,X1)
| ~ p8(X0)
| ~ p8(sK55_skl(X0))
| sP17_prd(sK54_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f132,plain,
! [X0,X1,X2] :
( r1(X2,sK59_skl(X2))
| sP18_prd(sK58_skl(X2),X2)
| p7(X2)
| ~ r1(sK0_skl,X2)
| ~ p7(X0)
| r1(X0,sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ~ p7(sK59_skl(X2))
| sP18_prd(sK58_skl(X2),X2)
| p7(X2)
| ~ r1(sK0_skl,X2)
| ~ p7(X0)
| r1(X0,sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f134,plain,
! [X0,X1,X2] :
( p6(X2)
| sP18_prd(sK58_skl(X2),X2)
| p7(X2)
| ~ r1(sK0_skl,X2)
| ~ p7(X0)
| r1(X0,sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f135,plain,
! [X0,X1,X2] :
( r1(X2,sK59_skl(X2))
| sP18_prd(sK58_skl(X2),X2)
| p7(X2)
| ~ r1(sK0_skl,X2)
| ~ p7(X0)
| ~ p7(sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ~ p7(sK59_skl(X2))
| sP18_prd(sK58_skl(X2),X2)
| p7(X2)
| ~ r1(sK0_skl,X2)
| ~ p7(X0)
| ~ p7(sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f137,plain,
! [X0,X1,X2] :
( p6(X2)
| sP18_prd(sK58_skl(X2),X2)
| p7(X2)
| ~ r1(sK0_skl,X2)
| ~ p7(X0)
| ~ p7(sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ~ p6(X2)
| ~ r1(X1,X2)
| r1(X1,sK62_skl(X1))
| p7(X1)
| ~ r1(sK0_skl,X1)
| ~ p7(X0)
| r1(X0,sK61_skl(X0))
| sP19_prd(sK60_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( ~ p6(X3)
| ~ r1(X1,X3)
| ~ p6(X2)
| ~ r1(sK62_skl(X1),X2)
| p7(X1)
| ~ r1(sK0_skl,X1)
| ~ p7(X0)
| r1(X0,sK61_skl(X0))
| sP19_prd(sK60_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ p6(X2)
| ~ r1(X1,X2)
| r1(X1,sK62_skl(X1))
| p7(X1)
| ~ r1(sK0_skl,X1)
| ~ p7(X0)
| ~ p7(sK61_skl(X0))
| sP19_prd(sK60_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( ~ p6(X3)
| ~ r1(X1,X3)
| ~ p6(X2)
| ~ r1(sK62_skl(X1),X2)
| p7(X1)
| ~ r1(sK0_skl,X1)
| ~ p7(X0)
| ~ p7(sK61_skl(X0))
| sP19_prd(sK60_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f142,plain,
! [X0,X1,X2] :
( r1(X2,sK65_skl(X2))
| sP20_prd(sK64_skl(X2),X2)
| p6(X2)
| ~ r1(sK0_skl,X2)
| ~ p6(X0)
| r1(X0,sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ~ p6(sK65_skl(X2))
| sP20_prd(sK64_skl(X2),X2)
| p6(X2)
| ~ r1(sK0_skl,X2)
| ~ p6(X0)
| r1(X0,sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f144,plain,
! [X0,X1,X2] :
( p5(X2)
| sP20_prd(sK64_skl(X2),X2)
| p6(X2)
| ~ r1(sK0_skl,X2)
| ~ p6(X0)
| r1(X0,sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f145,plain,
! [X0,X1,X2] :
( r1(X2,sK65_skl(X2))
| sP20_prd(sK64_skl(X2),X2)
| p6(X2)
| ~ r1(sK0_skl,X2)
| ~ p6(X0)
| ~ p6(sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ~ p6(sK65_skl(X2))
| sP20_prd(sK64_skl(X2),X2)
| p6(X2)
| ~ r1(sK0_skl,X2)
| ~ p6(X0)
| ~ p6(sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f147,plain,
! [X0,X1,X2] :
( p5(X2)
| sP20_prd(sK64_skl(X2),X2)
| p6(X2)
| ~ r1(sK0_skl,X2)
| ~ p6(X0)
| ~ p6(sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ~ p5(X2)
| ~ r1(X1,X2)
| r1(X1,sK68_skl(X1))
| p6(X1)
| ~ r1(sK0_skl,X1)
| ~ p6(X0)
| r1(X0,sK67_skl(X0))
| sP21_prd(sK66_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( ~ p5(X3)
| ~ r1(X1,X3)
| ~ p5(X2)
| ~ r1(sK68_skl(X1),X2)
| p6(X1)
| ~ r1(sK0_skl,X1)
| ~ p6(X0)
| r1(X0,sK67_skl(X0))
| sP21_prd(sK66_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ~ p5(X2)
| ~ r1(X1,X2)
| r1(X1,sK68_skl(X1))
| p6(X1)
| ~ r1(sK0_skl,X1)
| ~ p6(X0)
| ~ p6(sK67_skl(X0))
| sP21_prd(sK66_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ~ p5(X3)
| ~ r1(X1,X3)
| ~ p5(X2)
| ~ r1(sK68_skl(X1),X2)
| p6(X1)
| ~ r1(sK0_skl,X1)
| ~ p6(X0)
| ~ p6(sK67_skl(X0))
| sP21_prd(sK66_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f152,plain,
! [X0,X1,X2] :
( r1(X2,sK71_skl(X2))
| sP22_prd(sK70_skl(X2),X2)
| p5(X2)
| ~ r1(sK0_skl,X2)
| ~ p5(X0)
| r1(X0,sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ~ p5(sK71_skl(X2))
| sP22_prd(sK70_skl(X2),X2)
| p5(X2)
| ~ r1(sK0_skl,X2)
| ~ p5(X0)
| r1(X0,sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f154,plain,
! [X0,X1,X2] :
( p4(X2)
| sP22_prd(sK70_skl(X2),X2)
| p5(X2)
| ~ r1(sK0_skl,X2)
| ~ p5(X0)
| r1(X0,sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f155,plain,
! [X0,X1,X2] :
( r1(X2,sK71_skl(X2))
| sP22_prd(sK70_skl(X2),X2)
| p5(X2)
| ~ r1(sK0_skl,X2)
| ~ p5(X0)
| ~ p5(sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ p5(sK71_skl(X2))
| sP22_prd(sK70_skl(X2),X2)
| p5(X2)
| ~ r1(sK0_skl,X2)
| ~ p5(X0)
| ~ p5(sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f157,plain,
! [X0,X1,X2] :
( p4(X2)
| sP22_prd(sK70_skl(X2),X2)
| p5(X2)
| ~ r1(sK0_skl,X2)
| ~ p5(X0)
| ~ p5(sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ~ p4(X2)
| ~ r1(X1,X2)
| r1(X1,sK74_skl(X1))
| p5(X1)
| ~ r1(sK0_skl,X1)
| ~ p5(X0)
| r1(X0,sK73_skl(X0))
| sP23_prd(sK72_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ p4(X3)
| ~ r1(X1,X3)
| ~ p4(X2)
| ~ r1(sK74_skl(X1),X2)
| p5(X1)
| ~ r1(sK0_skl,X1)
| ~ p5(X0)
| r1(X0,sK73_skl(X0))
| sP23_prd(sK72_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ~ p4(X2)
| ~ r1(X1,X2)
| r1(X1,sK74_skl(X1))
| p5(X1)
| ~ r1(sK0_skl,X1)
| ~ p5(X0)
| ~ p5(sK73_skl(X0))
| sP23_prd(sK72_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ~ p4(X3)
| ~ r1(X1,X3)
| ~ p4(X2)
| ~ r1(sK74_skl(X1),X2)
| p5(X1)
| ~ r1(sK0_skl,X1)
| ~ p5(X0)
| ~ p5(sK73_skl(X0))
| sP23_prd(sK72_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f162,plain,
! [X0,X1,X2] :
( r1(X2,sK77_skl(X2))
| sP24_prd(sK76_skl(X2),X2)
| p4(X2)
| ~ r1(sK0_skl,X2)
| ~ p4(X0)
| r1(X0,sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ~ p4(sK77_skl(X2))
| sP24_prd(sK76_skl(X2),X2)
| p4(X2)
| ~ r1(sK0_skl,X2)
| ~ p4(X0)
| r1(X0,sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f164,plain,
! [X0,X1,X2] :
( p3(X2)
| sP24_prd(sK76_skl(X2),X2)
| p4(X2)
| ~ r1(sK0_skl,X2)
| ~ p4(X0)
| r1(X0,sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f165,plain,
! [X0,X1,X2] :
( r1(X2,sK77_skl(X2))
| sP24_prd(sK76_skl(X2),X2)
| p4(X2)
| ~ r1(sK0_skl,X2)
| ~ p4(X0)
| ~ p4(sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ~ p4(sK77_skl(X2))
| sP24_prd(sK76_skl(X2),X2)
| p4(X2)
| ~ r1(sK0_skl,X2)
| ~ p4(X0)
| ~ p4(sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f167,plain,
! [X0,X1,X2] :
( p3(X2)
| sP24_prd(sK76_skl(X2),X2)
| p4(X2)
| ~ r1(sK0_skl,X2)
| ~ p4(X0)
| ~ p4(sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ~ p3(X2)
| ~ r1(X1,X2)
| r1(X1,sK80_skl(X1))
| p4(X1)
| ~ r1(sK0_skl,X1)
| ~ p4(X0)
| r1(X0,sK79_skl(X0))
| sP25_prd(sK78_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3)
| ~ r1(X1,X3)
| ~ p3(X2)
| ~ r1(sK80_skl(X1),X2)
| p4(X1)
| ~ r1(sK0_skl,X1)
| ~ p4(X0)
| r1(X0,sK79_skl(X0))
| sP25_prd(sK78_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ~ p3(X2)
| ~ r1(X1,X2)
| r1(X1,sK80_skl(X1))
| p4(X1)
| ~ r1(sK0_skl,X1)
| ~ p4(X0)
| ~ p4(sK79_skl(X0))
| sP25_prd(sK78_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3)
| ~ r1(X1,X3)
| ~ p3(X2)
| ~ r1(sK80_skl(X1),X2)
| p4(X1)
| ~ r1(sK0_skl,X1)
| ~ p4(X0)
| ~ p4(sK79_skl(X0))
| sP25_prd(sK78_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f172,plain,
! [X0,X1,X2] :
( r1(X2,sK83_skl(X2))
| sP26_prd(sK82_skl(X2),X2)
| p3(X2)
| ~ r1(sK0_skl,X2)
| ~ p3(X0)
| r1(X0,sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ~ p3(sK83_skl(X2))
| sP26_prd(sK82_skl(X2),X2)
| p3(X2)
| ~ r1(sK0_skl,X2)
| ~ p3(X0)
| r1(X0,sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f174,plain,
! [X0,X1,X2] :
( p2(X2)
| sP26_prd(sK82_skl(X2),X2)
| p3(X2)
| ~ r1(sK0_skl,X2)
| ~ p3(X0)
| r1(X0,sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f175,plain,
! [X0,X1,X2] :
( r1(X2,sK83_skl(X2))
| sP26_prd(sK82_skl(X2),X2)
| p3(X2)
| ~ r1(sK0_skl,X2)
| ~ p3(X0)
| ~ p3(sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ~ p3(sK83_skl(X2))
| sP26_prd(sK82_skl(X2),X2)
| p3(X2)
| ~ r1(sK0_skl,X2)
| ~ p3(X0)
| ~ p3(sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f177,plain,
! [X0,X1,X2] :
( p2(X2)
| sP26_prd(sK82_skl(X2),X2)
| p3(X2)
| ~ r1(sK0_skl,X2)
| ~ p3(X0)
| ~ p3(sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ~ p2(X2)
| ~ r1(X1,X2)
| r1(X1,sK86_skl(X1))
| p3(X1)
| ~ r1(sK0_skl,X1)
| ~ p3(X0)
| r1(X0,sK85_skl(X0))
| sP27_prd(sK84_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3)
| ~ r1(X1,X3)
| ~ p2(X2)
| ~ r1(sK86_skl(X1),X2)
| p3(X1)
| ~ r1(sK0_skl,X1)
| ~ p3(X0)
| r1(X0,sK85_skl(X0))
| sP27_prd(sK84_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ~ p2(X2)
| ~ r1(X1,X2)
| r1(X1,sK86_skl(X1))
| p3(X1)
| ~ r1(sK0_skl,X1)
| ~ p3(X0)
| ~ p3(sK85_skl(X0))
| sP27_prd(sK84_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3)
| ~ r1(X1,X3)
| ~ p2(X2)
| ~ r1(sK86_skl(X1),X2)
| p3(X1)
| ~ r1(sK0_skl,X1)
| ~ p3(X0)
| ~ p3(sK85_skl(X0))
| sP27_prd(sK84_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f182,plain,
! [X0,X1,X2] :
( r1(X2,sK89_skl(X2))
| sP28_prd(sK88_skl(X2),X2)
| p2(X2)
| ~ r1(sK0_skl,X2)
| ~ p2(X0)
| r1(X0,sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ~ p2(sK89_skl(X2))
| sP28_prd(sK88_skl(X2),X2)
| p2(X2)
| ~ r1(sK0_skl,X2)
| ~ p2(X0)
| r1(X0,sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f184,plain,
! [X0,X1,X2] :
( p1(X2)
| sP28_prd(sK88_skl(X2),X2)
| p2(X2)
| ~ r1(sK0_skl,X2)
| ~ p2(X0)
| r1(X0,sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f185,plain,
! [X0,X1,X2] :
( r1(X2,sK89_skl(X2))
| sP28_prd(sK88_skl(X2),X2)
| p2(X2)
| ~ r1(sK0_skl,X2)
| ~ p2(X0)
| ~ p2(sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ~ p2(sK89_skl(X2))
| sP28_prd(sK88_skl(X2),X2)
| p2(X2)
| ~ r1(sK0_skl,X2)
| ~ p2(X0)
| ~ p2(sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f187,plain,
! [X0,X1,X2] :
( p1(X2)
| sP28_prd(sK88_skl(X2),X2)
| p2(X2)
| ~ r1(sK0_skl,X2)
| ~ p2(X0)
| ~ p2(sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ~ p1(X2)
| ~ r1(X1,X2)
| r1(X1,sK92_skl(X1))
| p2(X1)
| ~ r1(sK0_skl,X1)
| ~ p2(X0)
| r1(X0,sK91_skl(X0))
| sP29_prd(sK90_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( ~ p1(X3)
| ~ r1(X1,X3)
| ~ p1(X2)
| ~ r1(sK92_skl(X1),X2)
| p2(X1)
| ~ r1(sK0_skl,X1)
| ~ p2(X0)
| r1(X0,sK91_skl(X0))
| sP29_prd(sK90_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ~ p1(X2)
| ~ r1(X1,X2)
| r1(X1,sK92_skl(X1))
| p2(X1)
| ~ r1(sK0_skl,X1)
| ~ p2(X0)
| ~ p2(sK91_skl(X0))
| sP29_prd(sK90_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ p1(X3)
| ~ r1(X1,X3)
| ~ p1(X2)
| ~ r1(sK92_skl(X1),X2)
| p2(X1)
| ~ r1(sK0_skl,X1)
| ~ p2(X0)
| ~ p2(sK91_skl(X0))
| sP29_prd(sK90_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f192,plain,
! [Y,X] :
( ( ~ p16(X)
| ! [Y] :
( p17(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ( ( p16(X)
& ? [Y] :
( ~ p17(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f193,plain,
( ! [Y,X] :
( ~ p16(X)
| ! [Y] :
( p17(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ! [Y,X] :
( ( p16(X)
& ? [Y] :
( ~ p17(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f192]) ).
fof(f194,plain,
( ! [Y,X] :
( ~ p16(X)
| ! [Y] :
( p17(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ! [Y,X] :
( ( p16(X)
& ~ p17(sK93_skl(X,Y))
& r1(X,sK93_skl(X,Y))
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93_skl]),skolemize(Y,sK93_skl(X,Y))],[f193]) ).
fof(f195,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
! [X0,X1] :
( r1(X0,sK93_skl(X0,X1))
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f197,plain,
! [X0,X1] :
( ~ p17(sK93_skl(X0,X1))
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f198,plain,
! [X0,X1] :
( p16(X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ p16(X0)
| p17(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f200,plain,
! [Y,X] :
( ( ~ p16(X)
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ( ( p16(X)
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f201,plain,
( ! [Y,X] :
( ~ p16(X)
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ! [Y,X] :
( ( p16(X)
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f200]) ).
fof(f202,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
! [X0,X1] :
( p16(X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f204,plain,
! [X0,X1] :
( ~ p16(X0)
| ~ r1(X1,X0)
| sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f205,plain,
! [Y,X] :
( ( ~ p15(X)
| ! [Y] :
( p16(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP2_prd(X,Y) )
& ( ( p15(X)
& ? [Y] :
( ~ p16(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP2_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
( ! [Y,X] :
( ~ p15(X)
| ! [Y] :
( p16(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP2_prd(X,Y) )
& ! [Y,X] :
( ( p15(X)
& ? [Y] :
( ~ p16(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP2_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f205]) ).
fof(f207,plain,
( ! [Y,X] :
( ~ p15(X)
| ! [Y] :
( p16(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP2_prd(X,Y) )
& ! [Y,X] :
( ( p15(X)
& ~ p16(sK94_skl(X,Y))
& r1(X,sK94_skl(X,Y))
& r1(Y,X) )
| ~ sP2_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94_skl]),skolemize(Y,sK94_skl(X,Y))],[f206]) ).
fof(f208,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f209,plain,
! [X0,X1] :
( r1(X0,sK94_skl(X0,X1))
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f210,plain,
! [X0,X1] :
( ~ p16(sK94_skl(X0,X1))
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f211,plain,
! [X0,X1] :
( p15(X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ~ p15(X0)
| p16(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f213,plain,
! [Y,X] :
( ( ~ p15(X)
| ~ r1(Y,X)
| sP3_prd(X,Y) )
& ( ( p15(X)
& r1(Y,X) )
| ~ sP3_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
( ! [Y,X] :
( ~ p15(X)
| ~ r1(Y,X)
| sP3_prd(X,Y) )
& ! [Y,X] :
( ( p15(X)
& r1(Y,X) )
| ~ sP3_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f213]) ).
fof(f215,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f216,plain,
! [X0,X1] :
( p15(X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f217,plain,
! [X0,X1] :
( ~ p15(X0)
| ~ r1(X1,X0)
| sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f218,plain,
! [Y,X] :
( ( ~ p14(X)
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP4_prd(X,Y) )
& ( ( p14(X)
& ? [Y] :
( ~ p15(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP4_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f219,plain,
( ! [Y,X] :
( ~ p14(X)
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP4_prd(X,Y) )
& ! [Y,X] :
( ( p14(X)
& ? [Y] :
( ~ p15(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP4_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f218]) ).
fof(f220,plain,
( ! [Y,X] :
( ~ p14(X)
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP4_prd(X,Y) )
& ! [Y,X] :
( ( p14(X)
& ~ p15(sK95_skl(X,Y))
& r1(X,sK95_skl(X,Y))
& r1(Y,X) )
| ~ sP4_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95_skl]),skolemize(Y,sK95_skl(X,Y))],[f219]) ).
fof(f221,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
! [X0,X1] :
( r1(X0,sK95_skl(X0,X1))
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f223,plain,
! [X0,X1] :
( ~ p15(sK95_skl(X0,X1))
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f224,plain,
! [X0,X1] :
( p14(X0)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ~ p14(X0)
| p15(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f226,plain,
! [Y,X] :
( ( ~ p14(X)
| ~ r1(Y,X)
| sP5_prd(X,Y) )
& ( ( p14(X)
& r1(Y,X) )
| ~ sP5_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f227,plain,
( ! [Y,X] :
( ~ p14(X)
| ~ r1(Y,X)
| sP5_prd(X,Y) )
& ! [Y,X] :
( ( p14(X)
& r1(Y,X) )
| ~ sP5_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f226]) ).
fof(f228,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
! [X0,X1] :
( p14(X0)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f230,plain,
! [X0,X1] :
( ~ p14(X0)
| ~ r1(X1,X0)
| sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f231,plain,
! [Y,X] :
( ( ~ p13(X)
| ! [Y] :
( p14(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP6_prd(X,Y) )
& ( ( p13(X)
& ? [Y] :
( ~ p14(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP6_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f232,plain,
( ! [Y,X] :
( ~ p13(X)
| ! [Y] :
( p14(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP6_prd(X,Y) )
& ! [Y,X] :
( ( p13(X)
& ? [Y] :
( ~ p14(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP6_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f231]) ).
fof(f233,plain,
( ! [Y,X] :
( ~ p13(X)
| ! [Y] :
( p14(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP6_prd(X,Y) )
& ! [Y,X] :
( ( p13(X)
& ~ p14(sK96_skl(X,Y))
& r1(X,sK96_skl(X,Y))
& r1(Y,X) )
| ~ sP6_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK96_skl]),skolemize(Y,sK96_skl(X,Y))],[f232]) ).
fof(f234,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f235,plain,
! [X0,X1] :
( r1(X0,sK96_skl(X0,X1))
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f236,plain,
! [X0,X1] :
( ~ p14(sK96_skl(X0,X1))
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f237,plain,
! [X0,X1] :
( p13(X0)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ~ p13(X0)
| p14(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f239,plain,
! [Y,X] :
( ( ~ p13(X)
| ~ r1(Y,X)
| sP7_prd(X,Y) )
& ( ( p13(X)
& r1(Y,X) )
| ~ sP7_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f240,plain,
( ! [Y,X] :
( ~ p13(X)
| ~ r1(Y,X)
| sP7_prd(X,Y) )
& ! [Y,X] :
( ( p13(X)
& r1(Y,X) )
| ~ sP7_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f239]) ).
fof(f241,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f242,plain,
! [X0,X1] :
( p13(X0)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f243,plain,
! [X0,X1] :
( ~ p13(X0)
| ~ r1(X1,X0)
| sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f244,plain,
! [Y,X] :
( ( ~ p12(X)
| ! [Y] :
( p13(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP8_prd(X,Y) )
& ( ( p12(X)
& ? [Y] :
( ~ p13(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP8_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f245,plain,
( ! [Y,X] :
( ~ p12(X)
| ! [Y] :
( p13(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP8_prd(X,Y) )
& ! [Y,X] :
( ( p12(X)
& ? [Y] :
( ~ p13(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP8_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f244]) ).
fof(f246,plain,
( ! [Y,X] :
( ~ p12(X)
| ! [Y] :
( p13(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP8_prd(X,Y) )
& ! [Y,X] :
( ( p12(X)
& ~ p13(sK97_skl(X,Y))
& r1(X,sK97_skl(X,Y))
& r1(Y,X) )
| ~ sP8_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK97_skl]),skolemize(Y,sK97_skl(X,Y))],[f245]) ).
fof(f247,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
! [X0,X1] :
( r1(X0,sK97_skl(X0,X1))
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f249,plain,
! [X0,X1] :
( ~ p13(sK97_skl(X0,X1))
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f250,plain,
! [X0,X1] :
( p12(X0)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f251,plain,
! [X0,X1,X2] :
( ~ p12(X0)
| p13(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f252,plain,
! [Y,X] :
( ( ~ p12(X)
| ~ r1(Y,X)
| sP9_prd(X,Y) )
& ( ( p12(X)
& r1(Y,X) )
| ~ sP9_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f253,plain,
( ! [Y,X] :
( ~ p12(X)
| ~ r1(Y,X)
| sP9_prd(X,Y) )
& ! [Y,X] :
( ( p12(X)
& r1(Y,X) )
| ~ sP9_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f252]) ).
fof(f254,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
! [X0,X1] :
( p12(X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f256,plain,
! [X0,X1] :
( ~ p12(X0)
| ~ r1(X1,X0)
| sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f257,plain,
! [Y,X] :
( ( ~ p11(X)
| ! [Y] :
( p12(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP10_prd(X,Y) )
& ( ( p11(X)
& ? [Y] :
( ~ p12(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP10_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f258,plain,
( ! [Y,X] :
( ~ p11(X)
| ! [Y] :
( p12(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP10_prd(X,Y) )
& ! [Y,X] :
( ( p11(X)
& ? [Y] :
( ~ p12(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP10_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f257]) ).
fof(f259,plain,
( ! [Y,X] :
( ~ p11(X)
| ! [Y] :
( p12(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP10_prd(X,Y) )
& ! [Y,X] :
( ( p11(X)
& ~ p12(sK98_skl(X,Y))
& r1(X,sK98_skl(X,Y))
& r1(Y,X) )
| ~ sP10_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98_skl]),skolemize(Y,sK98_skl(X,Y))],[f258]) ).
fof(f260,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP10_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
! [X0,X1] :
( r1(X0,sK98_skl(X0,X1))
| ~ sP10_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f262,plain,
! [X0,X1] :
( ~ p12(sK98_skl(X0,X1))
| ~ sP10_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f263,plain,
! [X0,X1] :
( p11(X0)
| ~ sP10_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f264,plain,
! [X0,X1,X2] :
( ~ p11(X0)
| p12(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP10_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f265,plain,
! [Y,X] :
( ( ~ p11(X)
| ~ r1(Y,X)
| sP11_prd(X,Y) )
& ( ( p11(X)
& r1(Y,X) )
| ~ sP11_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f266,plain,
( ! [Y,X] :
( ~ p11(X)
| ~ r1(Y,X)
| sP11_prd(X,Y) )
& ! [Y,X] :
( ( p11(X)
& r1(Y,X) )
| ~ sP11_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f265]) ).
fof(f267,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP11_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f268,plain,
! [X0,X1] :
( p11(X0)
| ~ sP11_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f269,plain,
! [X0,X1] :
( ~ p11(X0)
| ~ r1(X1,X0)
| sP11_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f270,plain,
! [Y,X] :
( ( ~ p10(X)
| ! [Y] :
( p11(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP12_prd(X,Y) )
& ( ( p10(X)
& ? [Y] :
( ~ p11(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP12_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f271,plain,
( ! [Y,X] :
( ~ p10(X)
| ! [Y] :
( p11(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP12_prd(X,Y) )
& ! [Y,X] :
( ( p10(X)
& ? [Y] :
( ~ p11(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP12_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f270]) ).
fof(f272,plain,
( ! [Y,X] :
( ~ p10(X)
| ! [Y] :
( p11(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP12_prd(X,Y) )
& ! [Y,X] :
( ( p10(X)
& ~ p11(sK99_skl(X,Y))
& r1(X,sK99_skl(X,Y))
& r1(Y,X) )
| ~ sP12_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK99_skl]),skolemize(Y,sK99_skl(X,Y))],[f271]) ).
fof(f273,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP12_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f274,plain,
! [X0,X1] :
( r1(X0,sK99_skl(X0,X1))
| ~ sP12_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f275,plain,
! [X0,X1] :
( ~ p11(sK99_skl(X0,X1))
| ~ sP12_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f276,plain,
! [X0,X1] :
( p10(X0)
| ~ sP12_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ~ p10(X0)
| p11(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP12_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f278,plain,
! [Y,X] :
( ( ~ p10(X)
| ~ r1(Y,X)
| sP13_prd(X,Y) )
& ( ( p10(X)
& r1(Y,X) )
| ~ sP13_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f17]) ).
fof(f279,plain,
( ! [Y,X] :
( ~ p10(X)
| ~ r1(Y,X)
| sP13_prd(X,Y) )
& ! [Y,X] :
( ( p10(X)
& r1(Y,X) )
| ~ sP13_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f278]) ).
fof(f280,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP13_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f281,plain,
! [X0,X1] :
( p10(X0)
| ~ sP13_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f282,plain,
! [X0,X1] :
( ~ p10(X0)
| ~ r1(X1,X0)
| sP13_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f283,plain,
! [Y,X] :
( ( ~ p8(X)
| ! [Y] :
( p9(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP14_prd(X,Y) )
& ( ( p8(X)
& ? [Y] :
( ~ p9(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP14_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f284,plain,
( ! [Y,X] :
( ~ p8(X)
| ! [Y] :
( p9(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP14_prd(X,Y) )
& ! [Y,X] :
( ( p8(X)
& ? [Y] :
( ~ p9(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP14_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f283]) ).
fof(f285,plain,
( ! [Y,X] :
( ~ p8(X)
| ! [Y] :
( p9(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP14_prd(X,Y) )
& ! [Y,X] :
( ( p8(X)
& ~ p9(sK100_skl(X,Y))
& r1(X,sK100_skl(X,Y))
& r1(Y,X) )
| ~ sP14_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK100_skl]),skolemize(Y,sK100_skl(X,Y))],[f284]) ).
fof(f286,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP14_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f287,plain,
! [X0,X1] :
( r1(X0,sK100_skl(X0,X1))
| ~ sP14_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f288,plain,
! [X0,X1] :
( ~ p9(sK100_skl(X0,X1))
| ~ sP14_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f289,plain,
! [X0,X1] :
( p8(X0)
| ~ sP14_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ~ p8(X0)
| p9(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP14_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f291,plain,
! [Y,X] :
( ( ~ p8(X)
| ~ r1(Y,X)
| sP15_prd(X,Y) )
& ( ( p8(X)
& r1(Y,X) )
| ~ sP15_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f292,plain,
( ! [Y,X] :
( ~ p8(X)
| ~ r1(Y,X)
| sP15_prd(X,Y) )
& ! [Y,X] :
( ( p8(X)
& r1(Y,X) )
| ~ sP15_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f291]) ).
fof(f293,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP15_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
! [X0,X1] :
( p8(X0)
| ~ sP15_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f295,plain,
! [X0,X1] :
( ~ p8(X0)
| ~ r1(X1,X0)
| sP15_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f296,plain,
! [Y,X] :
( ( ~ p7(X)
| ! [Y] :
( p8(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP16_prd(X,Y) )
& ( ( p7(X)
& ? [Y] :
( ~ p8(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP16_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f297,plain,
( ! [Y,X] :
( ~ p7(X)
| ! [Y] :
( p8(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP16_prd(X,Y) )
& ! [Y,X] :
( ( p7(X)
& ? [Y] :
( ~ p8(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP16_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f296]) ).
fof(f298,plain,
( ! [Y,X] :
( ~ p7(X)
| ! [Y] :
( p8(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP16_prd(X,Y) )
& ! [Y,X] :
( ( p7(X)
& ~ p8(sK101_skl(X,Y))
& r1(X,sK101_skl(X,Y))
& r1(Y,X) )
| ~ sP16_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK101_skl]),skolemize(Y,sK101_skl(X,Y))],[f297]) ).
fof(f299,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP16_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f300,plain,
! [X0,X1] :
( r1(X0,sK101_skl(X0,X1))
| ~ sP16_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f301,plain,
! [X0,X1] :
( ~ p8(sK101_skl(X0,X1))
| ~ sP16_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f302,plain,
! [X0,X1] :
( p7(X0)
| ~ sP16_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f303,plain,
! [X0,X1,X2] :
( ~ p7(X0)
| p8(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP16_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f304,plain,
! [Y,X] :
( ( ~ p7(X)
| ~ r1(Y,X)
| sP17_prd(X,Y) )
& ( ( p7(X)
& r1(Y,X) )
| ~ sP17_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f305,plain,
( ! [Y,X] :
( ~ p7(X)
| ~ r1(Y,X)
| sP17_prd(X,Y) )
& ! [Y,X] :
( ( p7(X)
& r1(Y,X) )
| ~ sP17_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f304]) ).
fof(f306,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP17_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f307,plain,
! [X0,X1] :
( p7(X0)
| ~ sP17_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f308,plain,
! [X0,X1] :
( ~ p7(X0)
| ~ r1(X1,X0)
| sP17_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f309,plain,
! [Y,X] :
( ( ~ p6(X)
| ! [Y] :
( p7(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP18_prd(X,Y) )
& ( ( p6(X)
& ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP18_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f310,plain,
( ! [Y,X] :
( ~ p6(X)
| ! [Y] :
( p7(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP18_prd(X,Y) )
& ! [Y,X] :
( ( p6(X)
& ? [Y] :
( ~ p7(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP18_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f309]) ).
fof(f311,plain,
( ! [Y,X] :
( ~ p6(X)
| ! [Y] :
( p7(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP18_prd(X,Y) )
& ! [Y,X] :
( ( p6(X)
& ~ p7(sK102_skl(X,Y))
& r1(X,sK102_skl(X,Y))
& r1(Y,X) )
| ~ sP18_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK102_skl]),skolemize(Y,sK102_skl(X,Y))],[f310]) ).
fof(f312,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP18_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f313,plain,
! [X0,X1] :
( r1(X0,sK102_skl(X0,X1))
| ~ sP18_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f314,plain,
! [X0,X1] :
( ~ p7(sK102_skl(X0,X1))
| ~ sP18_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f315,plain,
! [X0,X1] :
( p6(X0)
| ~ sP18_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f316,plain,
! [X0,X1,X2] :
( ~ p6(X0)
| p7(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP18_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f317,plain,
! [Y,X] :
( ( ~ p6(X)
| ~ r1(Y,X)
| sP19_prd(X,Y) )
& ( ( p6(X)
& r1(Y,X) )
| ~ sP19_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f318,plain,
( ! [Y,X] :
( ~ p6(X)
| ~ r1(Y,X)
| sP19_prd(X,Y) )
& ! [Y,X] :
( ( p6(X)
& r1(Y,X) )
| ~ sP19_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f317]) ).
fof(f319,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP19_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f320,plain,
! [X0,X1] :
( p6(X0)
| ~ sP19_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f321,plain,
! [X0,X1] :
( ~ p6(X0)
| ~ r1(X1,X0)
| sP19_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f322,plain,
! [Y,X] :
( ( ~ p5(X)
| ! [Y] :
( p6(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP20_prd(X,Y) )
& ( ( p5(X)
& ? [Y] :
( ~ p6(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP20_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f323,plain,
( ! [Y,X] :
( ~ p5(X)
| ! [Y] :
( p6(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP20_prd(X,Y) )
& ! [Y,X] :
( ( p5(X)
& ? [Y] :
( ~ p6(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP20_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f322]) ).
fof(f324,plain,
( ! [Y,X] :
( ~ p5(X)
| ! [Y] :
( p6(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP20_prd(X,Y) )
& ! [Y,X] :
( ( p5(X)
& ~ p6(sK103_skl(X,Y))
& r1(X,sK103_skl(X,Y))
& r1(Y,X) )
| ~ sP20_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103_skl]),skolemize(Y,sK103_skl(X,Y))],[f323]) ).
fof(f325,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP20_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f326,plain,
! [X0,X1] :
( r1(X0,sK103_skl(X0,X1))
| ~ sP20_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f327,plain,
! [X0,X1] :
( ~ p6(sK103_skl(X0,X1))
| ~ sP20_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f328,plain,
! [X0,X1] :
( p5(X0)
| ~ sP20_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f329,plain,
! [X0,X1,X2] :
( ~ p5(X0)
| p6(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP20_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f330,plain,
! [Y,X] :
( ( ~ p5(X)
| ~ r1(Y,X)
| sP21_prd(X,Y) )
& ( ( p5(X)
& r1(Y,X) )
| ~ sP21_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f331,plain,
( ! [Y,X] :
( ~ p5(X)
| ~ r1(Y,X)
| sP21_prd(X,Y) )
& ! [Y,X] :
( ( p5(X)
& r1(Y,X) )
| ~ sP21_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f330]) ).
fof(f332,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP21_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f333,plain,
! [X0,X1] :
( p5(X0)
| ~ sP21_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f334,plain,
! [X0,X1] :
( ~ p5(X0)
| ~ r1(X1,X0)
| sP21_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f335,plain,
! [Y,X] :
( ( ~ p4(X)
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP22_prd(X,Y) )
& ( ( p4(X)
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP22_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f336,plain,
( ! [Y,X] :
( ~ p4(X)
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP22_prd(X,Y) )
& ! [Y,X] :
( ( p4(X)
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP22_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f335]) ).
fof(f337,plain,
( ! [Y,X] :
( ~ p4(X)
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP22_prd(X,Y) )
& ! [Y,X] :
( ( p4(X)
& ~ p5(sK104_skl(X,Y))
& r1(X,sK104_skl(X,Y))
& r1(Y,X) )
| ~ sP22_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104_skl]),skolemize(Y,sK104_skl(X,Y))],[f336]) ).
fof(f338,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP22_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
! [X0,X1] :
( r1(X0,sK104_skl(X0,X1))
| ~ sP22_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f340,plain,
! [X0,X1] :
( ~ p5(sK104_skl(X0,X1))
| ~ sP22_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f341,plain,
! [X0,X1] :
( p4(X0)
| ~ sP22_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f342,plain,
! [X0,X1,X2] :
( ~ p4(X0)
| p5(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP22_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f343,plain,
! [Y,X] :
( ( ~ p4(X)
| ~ r1(Y,X)
| sP23_prd(X,Y) )
& ( ( p4(X)
& r1(Y,X) )
| ~ sP23_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f27]) ).
fof(f344,plain,
( ! [Y,X] :
( ~ p4(X)
| ~ r1(Y,X)
| sP23_prd(X,Y) )
& ! [Y,X] :
( ( p4(X)
& r1(Y,X) )
| ~ sP23_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f343]) ).
fof(f345,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP23_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f346,plain,
! [X0,X1] :
( p4(X0)
| ~ sP23_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f347,plain,
! [X0,X1] :
( ~ p4(X0)
| ~ r1(X1,X0)
| sP23_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f348,plain,
! [Y,X] :
( ( ~ p3(X)
| ! [Y] :
( p4(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP24_prd(X,Y) )
& ( ( p3(X)
& ? [Y] :
( ~ p4(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP24_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f349,plain,
( ! [Y,X] :
( ~ p3(X)
| ! [Y] :
( p4(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP24_prd(X,Y) )
& ! [Y,X] :
( ( p3(X)
& ? [Y] :
( ~ p4(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP24_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f348]) ).
fof(f350,plain,
( ! [Y,X] :
( ~ p3(X)
| ! [Y] :
( p4(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP24_prd(X,Y) )
& ! [Y,X] :
( ( p3(X)
& ~ p4(sK105_skl(X,Y))
& r1(X,sK105_skl(X,Y))
& r1(Y,X) )
| ~ sP24_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK105_skl]),skolemize(Y,sK105_skl(X,Y))],[f349]) ).
fof(f351,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP24_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f352,plain,
! [X0,X1] :
( r1(X0,sK105_skl(X0,X1))
| ~ sP24_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f353,plain,
! [X0,X1] :
( ~ p4(sK105_skl(X0,X1))
| ~ sP24_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f354,plain,
! [X0,X1] :
( p3(X0)
| ~ sP24_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f355,plain,
! [X0,X1,X2] :
( ~ p3(X0)
| p4(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP24_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f356,plain,
! [Y,X] :
( ( ~ p3(X)
| ~ r1(Y,X)
| sP25_prd(X,Y) )
& ( ( p3(X)
& r1(Y,X) )
| ~ sP25_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f29]) ).
fof(f357,plain,
( ! [Y,X] :
( ~ p3(X)
| ~ r1(Y,X)
| sP25_prd(X,Y) )
& ! [Y,X] :
( ( p3(X)
& r1(Y,X) )
| ~ sP25_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f356]) ).
fof(f358,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP25_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f359,plain,
! [X0,X1] :
( p3(X0)
| ~ sP25_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f360,plain,
! [X0,X1] :
( ~ p3(X0)
| ~ r1(X1,X0)
| sP25_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f361,plain,
! [Y,X] :
( ( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP26_prd(X,Y) )
& ( ( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP26_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f30]) ).
fof(f362,plain,
( ! [Y,X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP26_prd(X,Y) )
& ! [Y,X] :
( ( p2(X)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP26_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f361]) ).
fof(f363,plain,
( ! [Y,X] :
( ~ p2(X)
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP26_prd(X,Y) )
& ! [Y,X] :
( ( p2(X)
& ~ p3(sK106_skl(X,Y))
& r1(X,sK106_skl(X,Y))
& r1(Y,X) )
| ~ sP26_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK106_skl]),skolemize(Y,sK106_skl(X,Y))],[f362]) ).
fof(f364,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP26_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f365,plain,
! [X0,X1] :
( r1(X0,sK106_skl(X0,X1))
| ~ sP26_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f366,plain,
! [X0,X1] :
( ~ p3(sK106_skl(X0,X1))
| ~ sP26_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f367,plain,
! [X0,X1] :
( p2(X0)
| ~ sP26_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f368,plain,
! [X0,X1,X2] :
( ~ p2(X0)
| p3(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP26_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f369,plain,
! [Y,X] :
( ( ~ p2(X)
| ~ r1(Y,X)
| sP27_prd(X,Y) )
& ( ( p2(X)
& r1(Y,X) )
| ~ sP27_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f31]) ).
fof(f370,plain,
( ! [Y,X] :
( ~ p2(X)
| ~ r1(Y,X)
| sP27_prd(X,Y) )
& ! [Y,X] :
( ( p2(X)
& r1(Y,X) )
| ~ sP27_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP27_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f372,plain,
! [X0,X1] :
( p2(X0)
| ~ sP27_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f373,plain,
! [X0,X1] :
( ~ p2(X0)
| ~ r1(X1,X0)
| sP27_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f374,plain,
! [Y,X] :
( ( ~ p1(X)
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP28_prd(X,Y) )
& ( ( p1(X)
& ? [Y] :
( ~ p2(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP28_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f32]) ).
fof(f375,plain,
( ! [Y,X] :
( ~ p1(X)
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP28_prd(X,Y) )
& ! [Y,X] :
( ( p1(X)
& ? [Y] :
( ~ p2(Y)
& r1(X,Y) )
& r1(Y,X) )
| ~ sP28_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f374]) ).
fof(f376,plain,
( ! [Y,X] :
( ~ p1(X)
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X)
| sP28_prd(X,Y) )
& ! [Y,X] :
( ( p1(X)
& ~ p2(sK107_skl(X,Y))
& r1(X,sK107_skl(X,Y))
& r1(Y,X) )
| ~ sP28_prd(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK107_skl]),skolemize(Y,sK107_skl(X,Y))],[f375]) ).
fof(f377,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP28_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f378,plain,
! [X0,X1] :
( r1(X0,sK107_skl(X0,X1))
| ~ sP28_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f379,plain,
! [X0,X1] :
( ~ p2(sK107_skl(X0,X1))
| ~ sP28_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f380,plain,
! [X0,X1] :
( p1(X0)
| ~ sP28_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f381,plain,
! [X0,X1,X2] :
( ~ p1(X0)
| p2(X2)
| ~ r1(X0,X2)
| ~ r1(X1,X0)
| sP28_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f382,plain,
! [Y,X] :
( ( ~ p1(X)
| ~ r1(Y,X)
| sP29_prd(X,Y) )
& ( ( p1(X)
& r1(Y,X) )
| ~ sP29_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f33]) ).
fof(f383,plain,
( ! [Y,X] :
( ~ p1(X)
| ~ r1(Y,X)
| sP29_prd(X,Y) )
& ! [Y,X] :
( ( p1(X)
& r1(Y,X) )
| ~ sP29_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f382]) ).
fof(f384,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP29_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f385,plain,
! [X0,X1] :
( p1(X0)
| ~ sP29_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f386,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ r1(X1,X0)
| sP29_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f387,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ p17(X0)
| r1(X0,sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f388,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p17(X0)
| r1(X0,sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
! [X2] :
( sQ1_spl
<=> ( r1(X2,sK3_skl(X2))
| sP0_prd(sK2_skl(X2),X2)
| p17(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f387,f390]) ).
fof(f394,definition,
! [X2] :
( sQ2_spl
<=> ( ~ p17(sK3_skl(X2))
| sP0_prd(sK2_skl(X2),X2)
| p17(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f387,f394]) ).
fof(f398,definition,
! [X2] :
( sQ3_spl
<=> ( p16(X2)
| sP0_prd(sK2_skl(X2),X2)
| p17(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f38,f387,f398]) ).
fof(f402,definition,
! [X0,X1] :
( sQ4_spl
<=> ( ~ p17(X0)
| ~ p17(sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f403,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ p17(X0)
| ~ p17(sK1_skl(X0))
| ~ p16(X0)
| p17(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f39,f402,f390]) ).
fof(f406,plain,
( sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f40,f402,f394]) ).
fof(f407,plain,
( sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f41,f402,f398]) ).
fof(f408,definition,
! [X0] :
( sQ5_spl
<=> ( ~ p17(X0)
| r1(X0,sK5_skl(X0))
| sP1_prd(sK4_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f409,plain,
! [X0] :
( ~ sQ5_spl
| ~ p17(X0)
| r1(X0,sK5_skl(X0))
| sP1_prd(sK4_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
! [X1,X2] :
( sQ6_spl
<=> ( ~ p16(X2)
| ~ r1(X1,X2)
| r1(X1,sK6_skl(X1))
| p17(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f42,f408,f411]) ).
fof(f415,definition,
! [X1,X2,X3] :
( sQ7_spl
<=> ( ~ p16(X3)
| ~ r1(X1,X3)
| ~ p16(X2)
| ~ r1(sK6_skl(X1),X2)
| p17(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( sQ7_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f43,f408,f415]) ).
fof(f419,definition,
! [X0] :
( sQ8_spl
<=> ( ~ p17(X0)
| ~ p17(sK5_skl(X0))
| sP1_prd(sK4_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f420,plain,
! [X0] :
( ~ sQ8_spl
| ~ p17(X0)
| ~ p17(sK5_skl(X0))
| sP1_prd(sK4_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f44,f419,f411]) ).
fof(f423,plain,
( sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f45,f419,f415]) ).
fof(f424,definition,
! [X0,X1] :
( sQ9_spl
<=> ( ~ p16(X0)
| r1(X0,sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f425,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ p16(X0)
| r1(X0,sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
! [X2] :
( sQ10_spl
<=> ( r1(X2,sK9_skl(X2))
| sP2_prd(sK8_skl(X2),X2)
| p16(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f46,f424,f427]) ).
fof(f431,definition,
! [X2] :
( sQ11_spl
<=> ( ~ p16(sK9_skl(X2))
| sP2_prd(sK8_skl(X2),X2)
| p16(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ11_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f47,f424,f431]) ).
fof(f435,definition,
! [X2] :
( sQ12_spl
<=> ( p15(X2)
| sP2_prd(sK8_skl(X2),X2)
| p16(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ12_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f48,f424,f435]) ).
fof(f439,definition,
! [X0,X1] :
( sQ13_spl
<=> ( ~ p16(X0)
| ~ p16(sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f440,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ p16(X0)
| ~ p16(sK7_skl(X0))
| ~ p15(X0)
| p16(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( sQ10_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f49,f439,f427]) ).
fof(f443,plain,
( sQ11_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f50,f439,f431]) ).
fof(f444,plain,
( sQ12_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f51,f439,f435]) ).
fof(f445,definition,
! [X0] :
( sQ14_spl
<=> ( ~ p16(X0)
| r1(X0,sK11_skl(X0))
| sP3_prd(sK10_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f446,plain,
! [X0] :
( ~ sQ14_spl
| ~ p16(X0)
| r1(X0,sK11_skl(X0))
| sP3_prd(sK10_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
! [X1,X2] :
( sQ15_spl
<=> ( ~ p15(X2)
| ~ r1(X1,X2)
| r1(X1,sK12_skl(X1))
| p16(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f52,f445,f448]) ).
fof(f452,definition,
! [X1,X2,X3] :
( sQ16_spl
<=> ( ~ p15(X3)
| ~ r1(X1,X3)
| ~ p15(X2)
| ~ r1(sK12_skl(X1),X2)
| p16(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( sQ16_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f53,f445,f452]) ).
fof(f456,definition,
! [X0] :
( sQ17_spl
<=> ( ~ p16(X0)
| ~ p16(sK11_skl(X0))
| sP3_prd(sK10_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f457,plain,
! [X0] :
( ~ sQ17_spl
| ~ p16(X0)
| ~ p16(sK11_skl(X0))
| sP3_prd(sK10_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( sQ15_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f54,f456,f448]) ).
fof(f460,plain,
( sQ16_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f55,f456,f452]) ).
fof(f461,definition,
! [X0,X1] :
( sQ18_spl
<=> ( ~ p15(X0)
| r1(X0,sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f462,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ p15(X0)
| r1(X0,sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
! [X2] :
( sQ19_spl
<=> ( r1(X2,sK15_skl(X2))
| sP4_prd(sK14_skl(X2),X2)
| p15(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( sQ19_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f56,f461,f464]) ).
fof(f468,definition,
! [X2] :
( sQ20_spl
<=> ( ~ p15(sK15_skl(X2))
| sP4_prd(sK14_skl(X2),X2)
| p15(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ20_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f57,f461,f468]) ).
fof(f472,definition,
! [X2] :
( sQ21_spl
<=> ( p14(X2)
| sP4_prd(sK14_skl(X2),X2)
| p15(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( sQ21_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f461,f472]) ).
fof(f476,definition,
! [X0,X1] :
( sQ22_spl
<=> ( ~ p15(X0)
| ~ p15(sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f477,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ p15(X0)
| ~ p15(sK13_skl(X0))
| ~ p14(X0)
| p15(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ19_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f59,f476,f464]) ).
fof(f480,plain,
( sQ20_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f60,f476,f468]) ).
fof(f481,plain,
( sQ21_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f61,f476,f472]) ).
fof(f482,definition,
! [X0] :
( sQ23_spl
<=> ( ~ p15(X0)
| r1(X0,sK17_skl(X0))
| sP5_prd(sK16_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f483,plain,
! [X0] :
( ~ sQ23_spl
| ~ p15(X0)
| r1(X0,sK17_skl(X0))
| sP5_prd(sK16_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
! [X1,X2] :
( sQ24_spl
<=> ( ~ p14(X2)
| ~ r1(X1,X2)
| r1(X1,sK18_skl(X1))
| p15(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f62,f482,f485]) ).
fof(f489,definition,
! [X1,X2,X3] :
( sQ25_spl
<=> ( ~ p14(X3)
| ~ r1(X1,X3)
| ~ p14(X2)
| ~ r1(sK18_skl(X1),X2)
| p15(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ25_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f63,f482,f489]) ).
fof(f493,definition,
! [X0] :
( sQ26_spl
<=> ( ~ p15(X0)
| ~ p15(sK17_skl(X0))
| sP5_prd(sK16_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f494,plain,
! [X0] :
( ~ sQ26_spl
| ~ p15(X0)
| ~ p15(sK17_skl(X0))
| sP5_prd(sK16_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( sQ24_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f64,f493,f485]) ).
fof(f497,plain,
( sQ25_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f65,f493,f489]) ).
fof(f498,definition,
! [X0,X1] :
( sQ27_spl
<=> ( ~ p14(X0)
| r1(X0,sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f499,plain,
! [X0,X1] :
( ~ sQ27_spl
| ~ p14(X0)
| r1(X0,sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
! [X2] :
( sQ28_spl
<=> ( r1(X2,sK21_skl(X2))
| sP6_prd(sK20_skl(X2),X2)
| p14(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f66,f498,f501]) ).
fof(f505,definition,
! [X2] :
( sQ29_spl
<=> ( ~ p14(sK21_skl(X2))
| sP6_prd(sK20_skl(X2),X2)
| p14(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( sQ29_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f67,f498,f505]) ).
fof(f509,definition,
! [X2] :
( sQ30_spl
<=> ( p13(X2)
| sP6_prd(sK20_skl(X2),X2)
| p14(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( sQ30_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f68,f498,f509]) ).
fof(f513,definition,
! [X0,X1] :
( sQ31_spl
<=> ( ~ p14(X0)
| ~ p14(sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f514,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ p14(X0)
| ~ p14(sK19_skl(X0))
| ~ p13(X0)
| p14(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( sQ28_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f69,f513,f501]) ).
fof(f517,plain,
( sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f70,f513,f505]) ).
fof(f518,plain,
( sQ30_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f71,f513,f509]) ).
fof(f519,definition,
! [X0] :
( sQ32_spl
<=> ( ~ p14(X0)
| r1(X0,sK23_skl(X0))
| sP7_prd(sK22_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f520,plain,
! [X0] :
( ~ sQ32_spl
| ~ p14(X0)
| r1(X0,sK23_skl(X0))
| sP7_prd(sK22_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
! [X1,X2] :
( sQ33_spl
<=> ( ~ p13(X2)
| ~ r1(X1,X2)
| r1(X1,sK24_skl(X1))
| p14(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f72,f519,f522]) ).
fof(f526,definition,
! [X1,X2,X3] :
( sQ34_spl
<=> ( ~ p13(X3)
| ~ r1(X1,X3)
| ~ p13(X2)
| ~ r1(sK24_skl(X1),X2)
| p14(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f73,f519,f526]) ).
fof(f530,definition,
! [X0] :
( sQ35_spl
<=> ( ~ p14(X0)
| ~ p14(sK23_skl(X0))
| sP7_prd(sK22_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f531,plain,
! [X0] :
( ~ sQ35_spl
| ~ p14(X0)
| ~ p14(sK23_skl(X0))
| sP7_prd(sK22_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( sQ33_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f74,f530,f522]) ).
fof(f534,plain,
( sQ34_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f75,f530,f526]) ).
fof(f535,definition,
! [X0,X1] :
( sQ36_spl
<=> ( ~ p13(X0)
| r1(X0,sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f536,plain,
! [X0,X1] :
( ~ sQ36_spl
| ~ p13(X0)
| r1(X0,sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
! [X2] :
( sQ37_spl
<=> ( r1(X2,sK27_skl(X2))
| sP8_prd(sK26_skl(X2),X2)
| p13(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f76,f535,f538]) ).
fof(f542,definition,
! [X2] :
( sQ38_spl
<=> ( ~ p13(sK27_skl(X2))
| sP8_prd(sK26_skl(X2),X2)
| p13(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f77,f535,f542]) ).
fof(f546,definition,
! [X2] :
( sQ39_spl
<=> ( p12(X2)
| sP8_prd(sK26_skl(X2),X2)
| p13(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( sQ39_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f78,f535,f546]) ).
fof(f550,definition,
! [X0,X1] :
( sQ40_spl
<=> ( ~ p13(X0)
| ~ p13(sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f551,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ p13(X0)
| ~ p13(sK25_skl(X0))
| ~ p12(X0)
| p13(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( sQ37_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f79,f550,f538]) ).
fof(f554,plain,
( sQ38_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f80,f550,f542]) ).
fof(f555,plain,
( sQ39_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f81,f550,f546]) ).
fof(f556,definition,
! [X0] :
( sQ41_spl
<=> ( ~ p13(X0)
| r1(X0,sK29_skl(X0))
| sP9_prd(sK28_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f557,plain,
! [X0] :
( ~ sQ41_spl
| ~ p13(X0)
| r1(X0,sK29_skl(X0))
| sP9_prd(sK28_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,definition,
! [X1,X2] :
( sQ42_spl
<=> ( ~ p12(X2)
| ~ r1(X1,X2)
| r1(X1,sK30_skl(X1))
| p13(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f82,f556,f559]) ).
fof(f563,definition,
! [X1,X2,X3] :
( sQ43_spl
<=> ( ~ p12(X3)
| ~ r1(X1,X3)
| ~ p12(X2)
| ~ r1(sK30_skl(X1),X2)
| p13(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( sQ43_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f83,f556,f563]) ).
fof(f567,definition,
! [X0] :
( sQ44_spl
<=> ( ~ p13(X0)
| ~ p13(sK29_skl(X0))
| sP9_prd(sK28_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f568,plain,
! [X0] :
( ~ sQ44_spl
| ~ p13(X0)
| ~ p13(sK29_skl(X0))
| sP9_prd(sK28_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( sQ42_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f84,f567,f559]) ).
fof(f571,plain,
( sQ43_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f85,f567,f563]) ).
fof(f572,definition,
! [X0,X1] :
( sQ45_spl
<=> ( ~ p12(X0)
| r1(X0,sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f573,plain,
! [X0,X1] :
( ~ sQ45_spl
| ~ p12(X0)
| r1(X0,sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
! [X2] :
( sQ46_spl
<=> ( r1(X2,sK33_skl(X2))
| sP10_prd(sK32_skl(X2),X2)
| p12(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f86,f572,f575]) ).
fof(f579,definition,
! [X2] :
( sQ47_spl
<=> ( ~ p12(sK33_skl(X2))
| sP10_prd(sK32_skl(X2),X2)
| p12(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( sQ47_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f87,f572,f579]) ).
fof(f583,definition,
! [X2] :
( sQ48_spl
<=> ( p11(X2)
| sP10_prd(sK32_skl(X2),X2)
| p12(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( sQ48_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f88,f572,f583]) ).
fof(f587,definition,
! [X0,X1] :
( sQ49_spl
<=> ( ~ p12(X0)
| ~ p12(sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f588,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ p12(X0)
| ~ p12(sK31_skl(X0))
| ~ p11(X0)
| p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( sQ46_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f89,f587,f575]) ).
fof(f591,plain,
( sQ47_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f90,f587,f579]) ).
fof(f592,plain,
( sQ48_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f91,f587,f583]) ).
fof(f593,definition,
! [X0] :
( sQ50_spl
<=> ( ~ p12(X0)
| r1(X0,sK35_skl(X0))
| sP11_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f594,plain,
! [X0] :
( ~ sQ50_spl
| ~ p12(X0)
| r1(X0,sK35_skl(X0))
| sP11_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
! [X1,X2] :
( sQ51_spl
<=> ( ~ p11(X2)
| ~ r1(X1,X2)
| r1(X1,sK36_skl(X1))
| p12(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f92,f593,f596]) ).
fof(f600,definition,
! [X1,X2,X3] :
( sQ52_spl
<=> ( ~ p11(X3)
| ~ r1(X1,X3)
| ~ p11(X2)
| ~ r1(sK36_skl(X1),X2)
| p12(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( sQ52_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f93,f593,f600]) ).
fof(f604,definition,
! [X0] :
( sQ53_spl
<=> ( ~ p12(X0)
| ~ p12(sK35_skl(X0))
| sP11_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f605,plain,
! [X0] :
( ~ sQ53_spl
| ~ p12(X0)
| ~ p12(sK35_skl(X0))
| sP11_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( sQ51_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f94,f604,f596]) ).
fof(f608,plain,
( sQ52_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f95,f604,f600]) ).
fof(f609,definition,
! [X0,X1] :
( sQ54_spl
<=> ( ~ p11(X0)
| r1(X0,sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f610,plain,
! [X0,X1] :
( ~ sQ54_spl
| ~ p11(X0)
| r1(X0,sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
! [X2] :
( sQ55_spl
<=> ( r1(X2,sK39_skl(X2))
| sP12_prd(sK38_skl(X2),X2)
| p11(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( sQ55_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f96,f609,f612]) ).
fof(f616,definition,
! [X2] :
( sQ56_spl
<=> ( ~ p11(sK39_skl(X2))
| sP12_prd(sK38_skl(X2),X2)
| p11(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( sQ56_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f97,f609,f616]) ).
fof(f620,definition,
! [X2] :
( sQ57_spl
<=> ( p10(X2)
| sP12_prd(sK38_skl(X2),X2)
| p11(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( sQ57_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f98,f609,f620]) ).
fof(f624,definition,
! [X0,X1] :
( sQ58_spl
<=> ( ~ p11(X0)
| ~ p11(sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f625,plain,
! [X0,X1] :
( ~ sQ58_spl
| ~ p11(X0)
| ~ p11(sK37_skl(X0))
| ~ p10(X0)
| p11(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( sQ55_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f99,f624,f612]) ).
fof(f628,plain,
( sQ56_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f100,f624,f616]) ).
fof(f629,plain,
( sQ57_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f101,f624,f620]) ).
fof(f630,definition,
! [X0] :
( sQ59_spl
<=> ( ~ p11(X0)
| r1(X0,sK41_skl(X0))
| sP13_prd(sK40_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f631,plain,
! [X0] :
( ~ sQ59_spl
| ~ p11(X0)
| r1(X0,sK41_skl(X0))
| sP13_prd(sK40_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
! [X1,X2] :
( sQ60_spl
<=> ( ~ p10(X2)
| ~ r1(X1,X2)
| r1(X1,sK42_skl(X1))
| p11(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( sQ60_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f102,f630,f633]) ).
fof(f637,definition,
! [X1,X2,X3] :
( sQ61_spl
<=> ( ~ p10(X3)
| ~ r1(X1,X3)
| ~ p10(X2)
| ~ r1(sK42_skl(X1),X2)
| p11(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( sQ61_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f103,f630,f637]) ).
fof(f641,definition,
! [X0] :
( sQ62_spl
<=> ( ~ p11(X0)
| ~ p11(sK41_skl(X0))
| sP13_prd(sK40_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f642,plain,
! [X0] :
( ~ sQ62_spl
| ~ p11(X0)
| ~ p11(sK41_skl(X0))
| sP13_prd(sK40_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( sQ60_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f104,f641,f633]) ).
fof(f645,plain,
( sQ61_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f105,f641,f637]) ).
fof(f646,definition,
! [X0,X1] :
( sQ63_spl
<=> ( ~ p9(X0)
| r1(X0,sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f647,plain,
! [X0,X1] :
( ~ sQ63_spl
| ~ p9(X0)
| r1(X0,sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
! [X2] :
( sQ64_spl
<=> ( r1(X2,sK47_skl(X2))
| sP14_prd(sK46_skl(X2),X2)
| p9(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( sQ64_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f112,f646,f649]) ).
fof(f653,definition,
! [X2] :
( sQ65_spl
<=> ( ~ p9(sK47_skl(X2))
| sP14_prd(sK46_skl(X2),X2)
| p9(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( sQ65_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f113,f646,f653]) ).
fof(f657,definition,
! [X2] :
( sQ66_spl
<=> ( p8(X2)
| sP14_prd(sK46_skl(X2),X2)
| p9(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( sQ66_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f114,f646,f657]) ).
fof(f661,definition,
! [X0,X1] :
( sQ67_spl
<=> ( ~ p9(X0)
| ~ p9(sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f662,plain,
! [X0,X1] :
( ~ sQ67_spl
| ~ p9(X0)
| ~ p9(sK45_skl(X0))
| ~ p8(X0)
| p9(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( sQ64_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f115,f661,f649]) ).
fof(f665,plain,
( sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f116,f661,f653]) ).
fof(f666,plain,
( sQ66_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f117,f661,f657]) ).
fof(f667,definition,
! [X0] :
( sQ68_spl
<=> ( ~ p9(X0)
| r1(X0,sK49_skl(X0))
| sP15_prd(sK48_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f668,plain,
! [X0] :
( ~ sQ68_spl
| ~ p9(X0)
| r1(X0,sK49_skl(X0))
| sP15_prd(sK48_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
! [X1,X2] :
( sQ69_spl
<=> ( ~ p8(X2)
| ~ r1(X1,X2)
| r1(X1,sK50_skl(X1))
| p9(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f118,f667,f670]) ).
fof(f674,definition,
! [X1,X2,X3] :
( sQ70_spl
<=> ( ~ p8(X3)
| ~ r1(X1,X3)
| ~ p8(X2)
| ~ r1(sK50_skl(X1),X2)
| p9(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( sQ70_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f119,f667,f674]) ).
fof(f678,definition,
! [X0] :
( sQ71_spl
<=> ( ~ p9(X0)
| ~ p9(sK49_skl(X0))
| sP15_prd(sK48_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f679,plain,
! [X0] :
( ~ sQ71_spl
| ~ p9(X0)
| ~ p9(sK49_skl(X0))
| sP15_prd(sK48_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( sQ69_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f120,f678,f670]) ).
fof(f682,plain,
( sQ70_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f121,f678,f674]) ).
fof(f683,definition,
! [X0,X1] :
( sQ72_spl
<=> ( ~ p8(X0)
| r1(X0,sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f684,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ p8(X0)
| r1(X0,sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
! [X2] :
( sQ73_spl
<=> ( r1(X2,sK53_skl(X2))
| sP16_prd(sK52_skl(X2),X2)
| p8(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f122,f683,f686]) ).
fof(f690,definition,
! [X2] :
( sQ74_spl
<=> ( ~ p8(sK53_skl(X2))
| sP16_prd(sK52_skl(X2),X2)
| p8(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( sQ74_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f123,f683,f690]) ).
fof(f694,definition,
! [X2] :
( sQ75_spl
<=> ( p7(X2)
| sP16_prd(sK52_skl(X2),X2)
| p8(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( sQ75_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f124,f683,f694]) ).
fof(f698,definition,
! [X0,X1] :
( sQ76_spl
<=> ( ~ p8(X0)
| ~ p8(sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f699,plain,
! [X0,X1] :
( ~ sQ76_spl
| ~ p8(X0)
| ~ p8(sK51_skl(X0))
| ~ p7(X0)
| p8(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,plain,
( sQ73_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f125,f698,f686]) ).
fof(f702,plain,
( sQ74_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f126,f698,f690]) ).
fof(f703,plain,
( sQ75_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f127,f698,f694]) ).
fof(f704,definition,
! [X0] :
( sQ77_spl
<=> ( ~ p8(X0)
| r1(X0,sK55_skl(X0))
| sP17_prd(sK54_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f705,plain,
! [X0] :
( ~ sQ77_spl
| ~ p8(X0)
| r1(X0,sK55_skl(X0))
| sP17_prd(sK54_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,definition,
! [X1,X2] :
( sQ78_spl
<=> ( ~ p7(X2)
| ~ r1(X1,X2)
| r1(X1,sK56_skl(X1))
| p8(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f128,f704,f707]) ).
fof(f711,definition,
! [X1,X2,X3] :
( sQ79_spl
<=> ( ~ p7(X3)
| ~ r1(X1,X3)
| ~ p7(X2)
| ~ r1(sK56_skl(X1),X2)
| p8(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( sQ79_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f129,f704,f711]) ).
fof(f715,definition,
! [X0] :
( sQ80_spl
<=> ( ~ p8(X0)
| ~ p8(sK55_skl(X0))
| sP17_prd(sK54_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f716,plain,
! [X0] :
( ~ sQ80_spl
| ~ p8(X0)
| ~ p8(sK55_skl(X0))
| sP17_prd(sK54_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( sQ78_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f130,f715,f707]) ).
fof(f719,plain,
( sQ79_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f131,f715,f711]) ).
fof(f720,definition,
! [X0,X1] :
( sQ81_spl
<=> ( ~ p7(X0)
| r1(X0,sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f721,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ p7(X0)
| r1(X0,sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,definition,
! [X2] :
( sQ82_spl
<=> ( r1(X2,sK59_skl(X2))
| sP18_prd(sK58_skl(X2),X2)
| p7(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f132,f720,f723]) ).
fof(f727,definition,
! [X2] :
( sQ83_spl
<=> ( ~ p7(sK59_skl(X2))
| sP18_prd(sK58_skl(X2),X2)
| p7(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( sQ83_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f133,f720,f727]) ).
fof(f731,definition,
! [X2] :
( sQ84_spl
<=> ( p6(X2)
| sP18_prd(sK58_skl(X2),X2)
| p7(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( sQ84_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f134,f720,f731]) ).
fof(f735,definition,
! [X0,X1] :
( sQ85_spl
<=> ( ~ p7(X0)
| ~ p7(sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f736,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ p7(X0)
| ~ p7(sK57_skl(X0))
| ~ p6(X0)
| p7(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( sQ82_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f135,f735,f723]) ).
fof(f739,plain,
( sQ83_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f136,f735,f727]) ).
fof(f740,plain,
( sQ84_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f137,f735,f731]) ).
fof(f741,definition,
! [X0] :
( sQ86_spl
<=> ( ~ p7(X0)
| r1(X0,sK61_skl(X0))
| sP19_prd(sK60_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f742,plain,
! [X0] :
( ~ sQ86_spl
| ~ p7(X0)
| r1(X0,sK61_skl(X0))
| sP19_prd(sK60_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
! [X1,X2] :
( sQ87_spl
<=> ( ~ p6(X2)
| ~ r1(X1,X2)
| r1(X1,sK62_skl(X1))
| p7(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( sQ87_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f138,f741,f744]) ).
fof(f748,definition,
! [X1,X2,X3] :
( sQ88_spl
<=> ( ~ p6(X3)
| ~ r1(X1,X3)
| ~ p6(X2)
| ~ r1(sK62_skl(X1),X2)
| p7(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( sQ88_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f139,f741,f748]) ).
fof(f752,definition,
! [X0] :
( sQ89_spl
<=> ( ~ p7(X0)
| ~ p7(sK61_skl(X0))
| sP19_prd(sK60_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f753,plain,
! [X0] :
( ~ sQ89_spl
| ~ p7(X0)
| ~ p7(sK61_skl(X0))
| sP19_prd(sK60_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( sQ87_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f140,f752,f744]) ).
fof(f756,plain,
( sQ88_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f141,f752,f748]) ).
fof(f757,definition,
! [X0,X1] :
( sQ90_spl
<=> ( ~ p6(X0)
| r1(X0,sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f758,plain,
! [X0,X1] :
( ~ sQ90_spl
| ~ p6(X0)
| r1(X0,sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
! [X2] :
( sQ91_spl
<=> ( r1(X2,sK65_skl(X2))
| sP20_prd(sK64_skl(X2),X2)
| p6(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f142,f757,f760]) ).
fof(f764,definition,
! [X2] :
( sQ92_spl
<=> ( ~ p6(sK65_skl(X2))
| sP20_prd(sK64_skl(X2),X2)
| p6(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( sQ92_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f143,f757,f764]) ).
fof(f768,definition,
! [X2] :
( sQ93_spl
<=> ( p5(X2)
| sP20_prd(sK64_skl(X2),X2)
| p6(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( sQ93_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f144,f757,f768]) ).
fof(f772,definition,
! [X0,X1] :
( sQ94_spl
<=> ( ~ p6(X0)
| ~ p6(sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f773,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ p6(X0)
| ~ p6(sK63_skl(X0))
| ~ p5(X0)
| p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( sQ91_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f145,f772,f760]) ).
fof(f776,plain,
( sQ92_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f146,f772,f764]) ).
fof(f777,plain,
( sQ93_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f147,f772,f768]) ).
fof(f778,definition,
! [X0] :
( sQ95_spl
<=> ( ~ p6(X0)
| r1(X0,sK67_skl(X0))
| sP21_prd(sK66_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f779,plain,
! [X0] :
( ~ sQ95_spl
| ~ p6(X0)
| r1(X0,sK67_skl(X0))
| sP21_prd(sK66_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,definition,
! [X1,X2] :
( sQ96_spl
<=> ( ~ p5(X2)
| ~ r1(X1,X2)
| r1(X1,sK68_skl(X1))
| p6(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f148,f778,f781]) ).
fof(f785,definition,
! [X1,X2,X3] :
( sQ97_spl
<=> ( ~ p5(X3)
| ~ r1(X1,X3)
| ~ p5(X2)
| ~ r1(sK68_skl(X1),X2)
| p6(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( sQ97_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f149,f778,f785]) ).
fof(f789,definition,
! [X0] :
( sQ98_spl
<=> ( ~ p6(X0)
| ~ p6(sK67_skl(X0))
| sP21_prd(sK66_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f790,plain,
! [X0] :
( ~ sQ98_spl
| ~ p6(X0)
| ~ p6(sK67_skl(X0))
| sP21_prd(sK66_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,plain,
( sQ96_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f150,f789,f781]) ).
fof(f793,plain,
( sQ97_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f151,f789,f785]) ).
fof(f794,definition,
! [X0,X1] :
( sQ99_spl
<=> ( ~ p5(X0)
| r1(X0,sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f795,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ p5(X0)
| r1(X0,sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
! [X2] :
( sQ100_spl
<=> ( r1(X2,sK71_skl(X2))
| sP22_prd(sK70_skl(X2),X2)
| p5(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( sQ100_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f152,f794,f797]) ).
fof(f801,definition,
! [X2] :
( sQ101_spl
<=> ( ~ p5(sK71_skl(X2))
| sP22_prd(sK70_skl(X2),X2)
| p5(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( sQ101_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f153,f794,f801]) ).
fof(f805,definition,
! [X2] :
( sQ102_spl
<=> ( p4(X2)
| sP22_prd(sK70_skl(X2),X2)
| p5(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( sQ102_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f154,f794,f805]) ).
fof(f809,definition,
! [X0,X1] :
( sQ103_spl
<=> ( ~ p5(X0)
| ~ p5(sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f810,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ p5(X0)
| ~ p5(sK69_skl(X0))
| ~ p4(X0)
| p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( sQ100_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f155,f809,f797]) ).
fof(f813,plain,
( sQ101_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f156,f809,f801]) ).
fof(f814,plain,
( sQ102_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f157,f809,f805]) ).
fof(f815,definition,
! [X0] :
( sQ104_spl
<=> ( ~ p5(X0)
| r1(X0,sK73_skl(X0))
| sP23_prd(sK72_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f816,plain,
! [X0] :
( ~ sQ104_spl
| ~ p5(X0)
| r1(X0,sK73_skl(X0))
| sP23_prd(sK72_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,definition,
! [X1,X2] :
( sQ105_spl
<=> ( ~ p4(X2)
| ~ r1(X1,X2)
| r1(X1,sK74_skl(X1))
| p5(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f158,f815,f818]) ).
fof(f822,definition,
! [X1,X2,X3] :
( sQ106_spl
<=> ( ~ p4(X3)
| ~ r1(X1,X3)
| ~ p4(X2)
| ~ r1(sK74_skl(X1),X2)
| p5(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( sQ106_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f159,f815,f822]) ).
fof(f826,definition,
! [X0] :
( sQ107_spl
<=> ( ~ p5(X0)
| ~ p5(sK73_skl(X0))
| sP23_prd(sK72_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f827,plain,
! [X0] :
( ~ sQ107_spl
| ~ p5(X0)
| ~ p5(sK73_skl(X0))
| sP23_prd(sK72_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,plain,
( sQ105_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f160,f826,f818]) ).
fof(f830,plain,
( sQ106_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f161,f826,f822]) ).
fof(f831,definition,
! [X0,X1] :
( sQ108_spl
<=> ( ~ p4(X0)
| r1(X0,sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f832,plain,
! [X0,X1] :
( ~ sQ108_spl
| ~ p4(X0)
| r1(X0,sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,definition,
! [X2] :
( sQ109_spl
<=> ( r1(X2,sK77_skl(X2))
| sP24_prd(sK76_skl(X2),X2)
| p4(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f162,f831,f834]) ).
fof(f838,definition,
! [X2] :
( sQ110_spl
<=> ( ~ p4(sK77_skl(X2))
| sP24_prd(sK76_skl(X2),X2)
| p4(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( sQ110_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f163,f831,f838]) ).
fof(f842,definition,
! [X2] :
( sQ111_spl
<=> ( p3(X2)
| sP24_prd(sK76_skl(X2),X2)
| p4(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( sQ111_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f164,f831,f842]) ).
fof(f846,definition,
! [X0,X1] :
( sQ112_spl
<=> ( ~ p4(X0)
| ~ p4(sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f847,plain,
! [X0,X1] :
( ~ sQ112_spl
| ~ p4(X0)
| ~ p4(sK75_skl(X0))
| ~ p3(X0)
| p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( sQ109_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f165,f846,f834]) ).
fof(f850,plain,
( sQ110_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f166,f846,f838]) ).
fof(f851,plain,
( sQ111_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f167,f846,f842]) ).
fof(f852,definition,
! [X0] :
( sQ113_spl
<=> ( ~ p4(X0)
| r1(X0,sK79_skl(X0))
| sP25_prd(sK78_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f853,plain,
! [X0] :
( ~ sQ113_spl
| ~ p4(X0)
| r1(X0,sK79_skl(X0))
| sP25_prd(sK78_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
! [X1,X2] :
( sQ114_spl
<=> ( ~ p3(X2)
| ~ r1(X1,X2)
| r1(X1,sK80_skl(X1))
| p4(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f168,f852,f855]) ).
fof(f859,definition,
! [X1,X2,X3] :
( sQ115_spl
<=> ( ~ p3(X3)
| ~ r1(X1,X3)
| ~ p3(X2)
| ~ r1(sK80_skl(X1),X2)
| p4(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( sQ115_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f169,f852,f859]) ).
fof(f863,definition,
! [X0] :
( sQ116_spl
<=> ( ~ p4(X0)
| ~ p4(sK79_skl(X0))
| sP25_prd(sK78_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f864,plain,
! [X0] :
( ~ sQ116_spl
| ~ p4(X0)
| ~ p4(sK79_skl(X0))
| sP25_prd(sK78_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,plain,
( sQ114_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f170,f863,f855]) ).
fof(f867,plain,
( sQ115_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f171,f863,f859]) ).
fof(f868,definition,
! [X0,X1] :
( sQ117_spl
<=> ( ~ p3(X0)
| r1(X0,sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f869,plain,
! [X0,X1] :
( ~ sQ117_spl
| ~ p3(X0)
| r1(X0,sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,definition,
! [X2] :
( sQ118_spl
<=> ( r1(X2,sK83_skl(X2))
| sP26_prd(sK82_skl(X2),X2)
| p3(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f172,f868,f871]) ).
fof(f875,definition,
! [X2] :
( sQ119_spl
<=> ( ~ p3(sK83_skl(X2))
| sP26_prd(sK82_skl(X2),X2)
| p3(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( sQ119_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f173,f868,f875]) ).
fof(f879,definition,
! [X2] :
( sQ120_spl
<=> ( p2(X2)
| sP26_prd(sK82_skl(X2),X2)
| p3(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( sQ120_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f174,f868,f879]) ).
fof(f883,definition,
! [X0,X1] :
( sQ121_spl
<=> ( ~ p3(X0)
| ~ p3(sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f884,plain,
! [X0,X1] :
( ~ sQ121_spl
| ~ p3(X0)
| ~ p3(sK81_skl(X0))
| ~ p2(X0)
| p3(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( sQ118_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f175,f883,f871]) ).
fof(f887,plain,
( sQ119_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f176,f883,f875]) ).
fof(f888,plain,
( sQ120_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f177,f883,f879]) ).
fof(f889,definition,
! [X0] :
( sQ122_spl
<=> ( ~ p3(X0)
| r1(X0,sK85_skl(X0))
| sP27_prd(sK84_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f890,plain,
! [X0] :
( ~ sQ122_spl
| ~ p3(X0)
| r1(X0,sK85_skl(X0))
| sP27_prd(sK84_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,definition,
! [X1,X2] :
( sQ123_spl
<=> ( ~ p2(X2)
| ~ r1(X1,X2)
| r1(X1,sK86_skl(X1))
| p3(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f178,f889,f892]) ).
fof(f896,definition,
! [X1,X2,X3] :
( sQ124_spl
<=> ( ~ p2(X3)
| ~ r1(X1,X3)
| ~ p2(X2)
| ~ r1(sK86_skl(X1),X2)
| p3(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( sQ124_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f179,f889,f896]) ).
fof(f900,definition,
! [X0] :
( sQ125_spl
<=> ( ~ p3(X0)
| ~ p3(sK85_skl(X0))
| sP27_prd(sK84_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f901,plain,
! [X0] :
( ~ sQ125_spl
| ~ p3(X0)
| ~ p3(sK85_skl(X0))
| sP27_prd(sK84_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,plain,
( sQ123_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f180,f900,f892]) ).
fof(f904,plain,
( sQ124_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f181,f900,f896]) ).
fof(f905,definition,
! [X0,X1] :
( sQ126_spl
<=> ( ~ p2(X0)
| r1(X0,sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f906,plain,
! [X0,X1] :
( ~ sQ126_spl
| ~ p2(X0)
| r1(X0,sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,definition,
! [X2] :
( sQ127_spl
<=> ( r1(X2,sK89_skl(X2))
| sP28_prd(sK88_skl(X2),X2)
| p2(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( sQ127_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f182,f905,f908]) ).
fof(f912,definition,
! [X2] :
( sQ128_spl
<=> ( ~ p2(sK89_skl(X2))
| sP28_prd(sK88_skl(X2),X2)
| p2(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( sQ128_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f183,f905,f912]) ).
fof(f916,definition,
! [X2] :
( sQ129_spl
<=> ( p1(X2)
| sP28_prd(sK88_skl(X2),X2)
| p2(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f919,plain,
( sQ129_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f184,f905,f916]) ).
fof(f920,definition,
! [X0,X1] :
( sQ130_spl
<=> ( ~ p2(X0)
| ~ p2(sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f921,plain,
! [X0,X1] :
( ~ sQ130_spl
| ~ p2(X0)
| ~ p2(sK87_skl(X0))
| ~ p1(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( sQ127_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f185,f920,f908]) ).
fof(f924,plain,
( sQ128_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f186,f920,f912]) ).
fof(f925,plain,
( sQ129_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f187,f920,f916]) ).
fof(f926,definition,
! [X0] :
( sQ131_spl
<=> ( ~ p2(X0)
| r1(X0,sK91_skl(X0))
| sP29_prd(sK90_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f927,plain,
! [X0] :
( ~ sQ131_spl
| ~ p2(X0)
| r1(X0,sK91_skl(X0))
| sP29_prd(sK90_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,definition,
! [X1,X2] :
( sQ132_spl
<=> ( ~ p1(X2)
| ~ r1(X1,X2)
| r1(X1,sK92_skl(X1))
| p2(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f188,f926,f929]) ).
fof(f933,definition,
! [X1,X2,X3] :
( sQ133_spl
<=> ( ~ p1(X3)
| ~ r1(X1,X3)
| ~ p1(X2)
| ~ r1(sK92_skl(X1),X2)
| p2(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f189,f926,f933]) ).
fof(f937,definition,
! [X0] :
( sQ134_spl
<=> ( ~ p2(X0)
| ~ p2(sK91_skl(X0))
| sP29_prd(sK90_skl(X0),X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f938,plain,
! [X0] :
( ~ sQ134_spl
| ~ p2(X0)
| ~ p2(sK91_skl(X0))
| sP29_prd(sK90_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( sQ132_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f190,f937,f929]) ).
fof(f941,plain,
( sQ133_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f191,f937,f933]) ).
fof(model,axiom,
( sQ0_spl
| sQ4_spl
| sQ5_spl
| sQ8_spl
| sQ9_spl
| sQ13_spl
| sQ14_spl
| sQ17_spl
| sQ18_spl
| sQ22_spl
| sQ23_spl
| sQ26_spl
| sQ27_spl
| sQ31_spl
| sQ32_spl
| sQ35_spl
| sQ36_spl
| sQ40_spl
| sQ41_spl
| sQ44_spl
| sQ45_spl
| sQ49_spl
| sQ50_spl
| sQ53_spl
| sQ54_spl
| sQ58_spl
| sQ59_spl
| sQ62_spl
| sQ63_spl
| sQ67_spl
| sQ68_spl
| sQ71_spl
| sQ72_spl
| sQ76_spl
| sQ77_spl
| sQ80_spl
| sQ81_spl
| sQ85_spl
| sQ86_spl
| sQ89_spl
| sQ90_spl
| sQ94_spl
| sQ95_spl
| sQ98_spl
| sQ99_spl
| sQ103_spl
| sQ104_spl
| sQ107_spl
| sQ108_spl
| sQ112_spl
| sQ113_spl
| sQ116_spl
| sQ117_spl
| sQ121_spl
| sQ122_spl
| sQ125_spl
| sQ126_spl
| sQ130_spl
| sQ131_spl
| sQ134_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL645+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:48:53 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.13/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.062351 seconds
% 0.13/0.43 % CPU time: 0.205988 seconds
% 0.13/0.43 % Total memory used: 31.667 MB
% 0.13/0.43 % Net memory used: 31.426 MB
%------------------------------------------------------------------------------