%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL649+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 : n010.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 01:10:37 PM UTC 2026
% Result : CounterSatisfiable 7.74s 11.59s
% Output : Saturation 0.82s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ ( ( p101(Y)
| ! [X] :
( p102(X)
| ~ r1(Y,X) )
| ! [X] :
( p103(X)
| ~ r1(Y,X) )
| ! [X] :
( p104(X)
| ~ r1(Y,X) )
| ! [X] :
( p105(X)
| ~ r1(Y,X) ) )
& ( p201(Y)
| p202(Y)
| ! [X] :
( p203(X)
| ~ r1(Y,X) )
| ! [X] :
( p204(X)
| ~ r1(Y,X) )
| ! [X] :
( p205(X)
| ~ r1(Y,X) ) )
& ( p301(Y)
| p302(Y)
| p303(Y)
| ! [X] :
( p304(X)
| ~ r1(Y,X) )
| ! [X] :
( p305(X)
| ~ r1(Y,X) ) )
& ( p401(Y)
| p402(Y)
| p403(Y)
| p404(Y)
| ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
& ( p501(Y)
| p502(Y)
| p503(Y)
| p504(Y)
| p505(Y) )
& ( p601(Y)
| p602(Y)
| p603(Y)
| p604(Y)
| p605(Y) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p101(Y)
& p201(Y) )
| ( p101(Y)
& p301(Y) )
| ( p101(Y)
& p401(Y) )
| ( p101(Y)
& p501(Y) )
| ( p101(Y)
& p601(Y) )
| ( p201(Y)
& p301(Y) )
| ( p201(Y)
& p401(Y) )
| ( p201(Y)
& p501(Y) )
| ( p201(Y)
& p601(Y) )
| ( p301(Y)
& p401(Y) )
| ( p301(Y)
& p501(Y) )
| ( p301(Y)
& p601(Y) )
| ( p401(Y)
& p501(Y) )
| ( p401(Y)
& p601(Y) )
| ( p501(Y)
& p601(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p202(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p302(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p402(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p502(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p602(Y) )
| ( p202(Y)
& p302(Y) )
| ( p202(Y)
& p402(Y) )
| ( p202(Y)
& p502(Y) )
| ( p202(Y)
& p602(Y) )
| ( p302(Y)
& p402(Y) )
| ( p302(Y)
& p502(Y) )
| ( p302(Y)
& p602(Y) )
| ( p402(Y)
& p502(Y) )
| ( p402(Y)
& p602(Y) )
| ( p502(Y)
& p602(Y) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& ! [X] :
( p203(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& p303(Y) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& p403(Y) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& p503(Y) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& p603(Y) )
| ( ! [X] :
( p203(X)
| ~ r1(Y,X) )
& p303(Y) )
| ( ! [X] :
( p203(X)
| ~ r1(Y,X) )
& p403(Y) )
| ( ! [X] :
( p203(X)
| ~ r1(Y,X) )
& p503(Y) )
| ( ! [X] :
( p203(X)
| ~ r1(Y,X) )
& p603(Y) )
| ( p303(Y)
& p403(Y) )
| ( p303(Y)
& p503(Y) )
| ( p303(Y)
& p603(Y) )
| ( p403(Y)
& p503(Y) )
| ( p403(Y)
& p603(Y) )
| ( p503(Y)
& p603(Y) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& ! [X] :
( p204(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& ! [X] :
( p304(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& ~ p404(Y) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& p504(Y) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& p604(Y) )
| ( ! [X] :
( p204(X)
| ~ r1(Y,X) )
& ! [X] :
( p304(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p204(X)
| ~ r1(Y,X) )
& ~ p404(Y) )
| ( ! [X] :
( p204(X)
| ~ r1(Y,X) )
& p504(Y) )
| ( ! [X] :
( p204(X)
| ~ r1(Y,X) )
& p604(Y) )
| ( ! [X] :
( p304(X)
| ~ r1(Y,X) )
& ~ p404(Y) )
| ( ! [X] :
( p304(X)
| ~ r1(Y,X) )
& p504(Y) )
| ( ! [X] :
( p304(X)
| ~ r1(Y,X) )
& p604(Y) )
| ( ~ p404(Y)
& p504(Y) )
| ( ~ p404(Y)
& p604(Y) )
| ( p504(Y)
& p604(Y) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& ! [X] :
( p205(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& ! [X] :
( p305(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& p505(Y) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& p605(Y) )
| ( ! [X] :
( p205(X)
| ~ r1(Y,X) )
& ! [X] :
( p305(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p205(X)
| ~ r1(Y,X) )
& ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p205(X)
| ~ r1(Y,X) )
& p505(Y) )
| ( ! [X] :
( p205(X)
| ~ r1(Y,X) )
& p605(Y) )
| ( ! [X] :
( p305(X)
| ~ r1(Y,X) )
& ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p305(X)
| ~ r1(Y,X) )
& p505(Y) )
| ( ! [X] :
( p305(X)
| ~ r1(Y,X) )
& p605(Y) )
| ( ! [X] :
( p405(X)
| ~ r1(Y,X) )
& p505(Y) )
| ( ! [X] :
( p405(X)
| ~ r1(Y,X) )
& p605(Y) )
| ( p505(Y)
& p605(Y) ) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ ( ( p101(Y)
| ! [X] :
( p102(X)
| ~ r1(Y,X) )
| ! [X] :
( p103(X)
| ~ r1(Y,X) )
| ! [X] :
( p104(X)
| ~ r1(Y,X) )
| ! [X] :
( p105(X)
| ~ r1(Y,X) ) )
& ( p201(Y)
| p202(Y)
| ! [X] :
( p203(X)
| ~ r1(Y,X) )
| ! [X] :
( p204(X)
| ~ r1(Y,X) )
| ! [X] :
( p205(X)
| ~ r1(Y,X) ) )
& ( p301(Y)
| p302(Y)
| p303(Y)
| ! [X] :
( p304(X)
| ~ r1(Y,X) )
| ! [X] :
( p305(X)
| ~ r1(Y,X) ) )
& ( p401(Y)
| p402(Y)
| p403(Y)
| p404(Y)
| ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
& ( p501(Y)
| p502(Y)
| p503(Y)
| p504(Y)
| p505(Y) )
& ( p601(Y)
| p602(Y)
| p603(Y)
| p604(Y)
| p605(Y) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p101(Y)
& p201(Y) )
| ( p101(Y)
& p301(Y) )
| ( p101(Y)
& p401(Y) )
| ( p101(Y)
& p501(Y) )
| ( p101(Y)
& p601(Y) )
| ( p201(Y)
& p301(Y) )
| ( p201(Y)
& p401(Y) )
| ( p201(Y)
& p501(Y) )
| ( p201(Y)
& p601(Y) )
| ( p301(Y)
& p401(Y) )
| ( p301(Y)
& p501(Y) )
| ( p301(Y)
& p601(Y) )
| ( p401(Y)
& p501(Y) )
| ( p401(Y)
& p601(Y) )
| ( p501(Y)
& p601(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p202(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p302(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p402(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p502(Y) )
| ( ! [X] :
( p102(X)
| ~ r1(Y,X) )
& p602(Y) )
| ( p202(Y)
& p302(Y) )
| ( p202(Y)
& p402(Y) )
| ( p202(Y)
& p502(Y) )
| ( p202(Y)
& p602(Y) )
| ( p302(Y)
& p402(Y) )
| ( p302(Y)
& p502(Y) )
| ( p302(Y)
& p602(Y) )
| ( p402(Y)
& p502(Y) )
| ( p402(Y)
& p602(Y) )
| ( p502(Y)
& p602(Y) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& ! [X] :
( p203(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& p303(Y) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& p403(Y) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& p503(Y) )
| ( ! [X] :
( p103(X)
| ~ r1(Y,X) )
& p603(Y) )
| ( ! [X] :
( p203(X)
| ~ r1(Y,X) )
& p303(Y) )
| ( ! [X] :
( p203(X)
| ~ r1(Y,X) )
& p403(Y) )
| ( ! [X] :
( p203(X)
| ~ r1(Y,X) )
& p503(Y) )
| ( ! [X] :
( p203(X)
| ~ r1(Y,X) )
& p603(Y) )
| ( p303(Y)
& p403(Y) )
| ( p303(Y)
& p503(Y) )
| ( p303(Y)
& p603(Y) )
| ( p403(Y)
& p503(Y) )
| ( p403(Y)
& p603(Y) )
| ( p503(Y)
& p603(Y) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& ! [X] :
( p204(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& ! [X] :
( p304(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& ~ p404(Y) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& p504(Y) )
| ( ! [X] :
( p104(X)
| ~ r1(Y,X) )
& p604(Y) )
| ( ! [X] :
( p204(X)
| ~ r1(Y,X) )
& ! [X] :
( p304(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p204(X)
| ~ r1(Y,X) )
& ~ p404(Y) )
| ( ! [X] :
( p204(X)
| ~ r1(Y,X) )
& p504(Y) )
| ( ! [X] :
( p204(X)
| ~ r1(Y,X) )
& p604(Y) )
| ( ! [X] :
( p304(X)
| ~ r1(Y,X) )
& ~ p404(Y) )
| ( ! [X] :
( p304(X)
| ~ r1(Y,X) )
& p504(Y) )
| ( ! [X] :
( p304(X)
| ~ r1(Y,X) )
& p604(Y) )
| ( ~ p404(Y)
& p504(Y) )
| ( ~ p404(Y)
& p604(Y) )
| ( p504(Y)
& p604(Y) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& ! [X] :
( p205(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& ! [X] :
( p305(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& p505(Y) )
| ( ! [X] :
( p105(X)
| ~ r1(Y,X) )
& p605(Y) )
| ( ! [X] :
( p205(X)
| ~ r1(Y,X) )
& ! [X] :
( p305(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p205(X)
| ~ r1(Y,X) )
& ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p205(X)
| ~ r1(Y,X) )
& p505(Y) )
| ( ! [X] :
( p205(X)
| ~ r1(Y,X) )
& p605(Y) )
| ( ! [X] :
( p305(X)
| ~ r1(Y,X) )
& ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
| ( ! [X] :
( p305(X)
| ~ r1(Y,X) )
& p505(Y) )
| ( ! [X] :
( p305(X)
| ~ r1(Y,X) )
& p605(Y) )
| ( ! [X] :
( p405(X)
| ~ r1(Y,X) )
& p505(Y) )
| ( ! [X] :
( p405(X)
| ~ r1(Y,X) )
& p605(Y) )
| ( p505(Y)
& p605(Y) ) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
( ? [Y] :
( ( p101(Y)
| ! [X] :
( p102(X)
| ~ r1(Y,X) )
| ! [X] :
( p103(X)
| ~ r1(Y,X) )
| ! [X] :
( p104(X)
| ~ r1(Y,X) )
| ! [X] :
( p105(X)
| ~ r1(Y,X) ) )
& ( p201(Y)
| p202(Y)
| ! [X] :
( p203(X)
| ~ r1(Y,X) )
| ! [X] :
( p204(X)
| ~ r1(Y,X) )
| ! [X] :
( p205(X)
| ~ r1(Y,X) ) )
& ( p301(Y)
| p302(Y)
| p303(Y)
| ! [X] :
( p304(X)
| ~ r1(Y,X) )
| ! [X] :
( p305(X)
| ~ r1(Y,X) ) )
& ( p401(Y)
| p402(Y)
| p403(Y)
| p404(Y)
| ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
& ( p501(Y)
| p502(Y)
| p503(Y)
| p504(Y)
| p505(Y) )
& ( p601(Y)
| p602(Y)
| p603(Y)
| p604(Y)
| p605(Y) )
& r1(X,Y) )
& ! [Y] :
( ( ( ~ p101(Y)
| ~ p201(Y) )
& ( ~ p101(Y)
| ~ p301(Y) )
& ( ~ p101(Y)
| ~ p401(Y) )
& ( ~ p101(Y)
| ~ p501(Y) )
& ( ~ p101(Y)
| ~ p601(Y) )
& ( ~ p201(Y)
| ~ p301(Y) )
& ( ~ p201(Y)
| ~ p401(Y) )
& ( ~ p201(Y)
| ~ p501(Y) )
& ( ~ p201(Y)
| ~ p601(Y) )
& ( ~ p301(Y)
| ~ p401(Y) )
& ( ~ p301(Y)
| ~ p501(Y) )
& ( ~ p301(Y)
| ~ p601(Y) )
& ( ~ p401(Y)
| ~ p501(Y) )
& ( ~ p401(Y)
| ~ p601(Y) )
& ( ~ p501(Y)
| ~ p601(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p202(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p302(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p402(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p502(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p602(Y) )
& ( ~ p202(Y)
| ~ p302(Y) )
& ( ~ p202(Y)
| ~ p402(Y) )
& ( ~ p202(Y)
| ~ p502(Y) )
& ( ~ p202(Y)
| ~ p602(Y) )
& ( ~ p302(Y)
| ~ p402(Y) )
& ( ~ p302(Y)
| ~ p502(Y) )
& ( ~ p302(Y)
| ~ p602(Y) )
& ( ~ p402(Y)
| ~ p502(Y) )
& ( ~ p402(Y)
| ~ p602(Y) )
& ( ~ p502(Y)
| ~ p602(Y) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ? [X] :
( ~ p203(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ~ p303(Y) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ~ p403(Y) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ~ p503(Y) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ~ p603(Y) )
& ( ? [X] :
( ~ p203(X)
& r1(Y,X) )
| ~ p303(Y) )
& ( ? [X] :
( ~ p203(X)
& r1(Y,X) )
| ~ p403(Y) )
& ( ? [X] :
( ~ p203(X)
& r1(Y,X) )
| ~ p503(Y) )
& ( ? [X] :
( ~ p203(X)
& r1(Y,X) )
| ~ p603(Y) )
& ( ~ p303(Y)
| ~ p403(Y) )
& ( ~ p303(Y)
| ~ p503(Y) )
& ( ~ p303(Y)
| ~ p603(Y) )
& ( ~ p403(Y)
| ~ p503(Y) )
& ( ~ p403(Y)
| ~ p603(Y) )
& ( ~ p503(Y)
| ~ p603(Y) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| ? [X] :
( ~ p204(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| ? [X] :
( ~ p304(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| p404(Y) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| ~ p504(Y) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| ~ p604(Y) )
& ( ? [X] :
( ~ p204(X)
& r1(Y,X) )
| ? [X] :
( ~ p304(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p204(X)
& r1(Y,X) )
| p404(Y) )
& ( ? [X] :
( ~ p204(X)
& r1(Y,X) )
| ~ p504(Y) )
& ( ? [X] :
( ~ p204(X)
& r1(Y,X) )
| ~ p604(Y) )
& ( ? [X] :
( ~ p304(X)
& r1(Y,X) )
| p404(Y) )
& ( ? [X] :
( ~ p304(X)
& r1(Y,X) )
| ~ p504(Y) )
& ( ? [X] :
( ~ p304(X)
& r1(Y,X) )
| ~ p604(Y) )
& ( p404(Y)
| ~ p504(Y) )
& ( p404(Y)
| ~ p604(Y) )
& ( ~ p504(Y)
| ~ p604(Y) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ? [X] :
( ~ p205(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ? [X] :
( ~ p305(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ? [X] :
( ~ p405(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ~ p505(Y) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ~ p605(Y) )
& ( ? [X] :
( ~ p205(X)
& r1(Y,X) )
| ? [X] :
( ~ p305(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p205(X)
& r1(Y,X) )
| ? [X] :
( ~ p405(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p205(X)
& r1(Y,X) )
| ~ p505(Y) )
& ( ? [X] :
( ~ p205(X)
& r1(Y,X) )
| ~ p605(Y) )
& ( ? [X] :
( ~ p305(X)
& r1(Y,X) )
| ? [X] :
( ~ p405(X)
& r1(Y,X) ) )
& ( ? [X] :
( ~ p305(X)
& r1(Y,X) )
| ~ p505(Y) )
& ( ? [X] :
( ~ p305(X)
& r1(Y,X) )
| ~ p605(Y) )
& ( ? [X] :
( ~ p405(X)
& r1(Y,X) )
| ~ p505(Y) )
& ( ? [X] :
( ~ p405(X)
& r1(Y,X) )
| ~ p605(Y) )
& ( ~ p505(Y)
| ~ p605(Y) ) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [Y,X] :
( sP0_prd(X,Y)
<=> ( ~ p405(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
! [Y,X] :
( sP1_prd(X,Y)
<=> ( ~ p405(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
! [Y,X] :
( sP2_prd(X,Y)
<=> ( ~ p305(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
! [Y,X] :
( sP3_prd(X,Y)
<=> ( ~ p405(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,definition,
! [Y,X] :
( sP4_prd(X,Y)
<=> ( ~ p305(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f9,definition,
! [Y,X] :
( sP5_prd(X,Y)
<=> ( ~ p205(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f10,definition,
! [Y,X] :
( sP6_prd(X,Y)
<=> ( ~ p304(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f11,definition,
! [Y,X] :
( sP7_prd(X,Y)
<=> ( ~ p304(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f12,definition,
! [Y,X] :
( sP8_prd(X,Y)
<=> ( ~ p204(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f13,definition,
! [Y,X] :
( sP9_prd(X,Y)
<=> ( ~ p203(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f14,plain,
? [X] :
( ? [Y] :
( ( p101(Y)
| ! [X] :
( p102(X)
| ~ r1(Y,X) )
| ! [X] :
( p103(X)
| ~ r1(Y,X) )
| ! [X] :
( p104(X)
| ~ r1(Y,X) )
| ! [X] :
( p105(X)
| ~ r1(Y,X) ) )
& ( p201(Y)
| p202(Y)
| ! [X] :
( p203(X)
| ~ r1(Y,X) )
| ! [X] :
( p204(X)
| ~ r1(Y,X) )
| ! [X] :
( p205(X)
| ~ r1(Y,X) ) )
& ( p301(Y)
| p302(Y)
| p303(Y)
| ! [X] :
( p304(X)
| ~ r1(Y,X) )
| ! [X] :
( p305(X)
| ~ r1(Y,X) ) )
& ( p401(Y)
| p402(Y)
| p403(Y)
| p404(Y)
| ! [X] :
( p405(X)
| ~ r1(Y,X) ) )
& ( p501(Y)
| p502(Y)
| p503(Y)
| p504(Y)
| p505(Y) )
& ( p601(Y)
| p602(Y)
| p603(Y)
| p604(Y)
| p605(Y) )
& r1(X,Y) )
& ! [Y] :
( ( ( ~ p101(Y)
| ~ p201(Y) )
& ( ~ p101(Y)
| ~ p301(Y) )
& ( ~ p101(Y)
| ~ p401(Y) )
& ( ~ p101(Y)
| ~ p501(Y) )
& ( ~ p101(Y)
| ~ p601(Y) )
& ( ~ p201(Y)
| ~ p301(Y) )
& ( ~ p201(Y)
| ~ p401(Y) )
& ( ~ p201(Y)
| ~ p501(Y) )
& ( ~ p201(Y)
| ~ p601(Y) )
& ( ~ p301(Y)
| ~ p401(Y) )
& ( ~ p301(Y)
| ~ p501(Y) )
& ( ~ p301(Y)
| ~ p601(Y) )
& ( ~ p401(Y)
| ~ p501(Y) )
& ( ~ p401(Y)
| ~ p601(Y) )
& ( ~ p501(Y)
| ~ p601(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p202(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p302(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p402(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p502(Y) )
& ( ? [X] :
( ~ p102(X)
& r1(Y,X) )
| ~ p602(Y) )
& ( ~ p202(Y)
| ~ p302(Y) )
& ( ~ p202(Y)
| ~ p402(Y) )
& ( ~ p202(Y)
| ~ p502(Y) )
& ( ~ p202(Y)
| ~ p602(Y) )
& ( ~ p302(Y)
| ~ p402(Y) )
& ( ~ p302(Y)
| ~ p502(Y) )
& ( ~ p302(Y)
| ~ p602(Y) )
& ( ~ p402(Y)
| ~ p502(Y) )
& ( ~ p402(Y)
| ~ p602(Y) )
& ( ~ p502(Y)
| ~ p602(Y) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ? [X] : sP9_prd(X,Y) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ~ p303(Y) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ~ p403(Y) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ~ p503(Y) )
& ( ? [X] :
( ~ p103(X)
& r1(Y,X) )
| ~ p603(Y) )
& ( ? [X] :
( ~ p203(X)
& r1(Y,X) )
| ~ p303(Y) )
& ( ? [X] :
( ~ p203(X)
& r1(Y,X) )
| ~ p403(Y) )
& ( ? [X] :
( ~ p203(X)
& r1(Y,X) )
| ~ p503(Y) )
& ( ? [X] :
( ~ p203(X)
& r1(Y,X) )
| ~ p603(Y) )
& ( ~ p303(Y)
| ~ p403(Y) )
& ( ~ p303(Y)
| ~ p503(Y) )
& ( ~ p303(Y)
| ~ p603(Y) )
& ( ~ p403(Y)
| ~ p503(Y) )
& ( ~ p403(Y)
| ~ p603(Y) )
& ( ~ p503(Y)
| ~ p603(Y) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| ? [X] : sP8_prd(X,Y) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| ? [X] : sP7_prd(X,Y) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| p404(Y) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| ~ p504(Y) )
& ( ? [X] :
( ~ p104(X)
& r1(Y,X) )
| ~ p604(Y) )
& ( ? [X] :
( ~ p204(X)
& r1(Y,X) )
| ? [X] : sP6_prd(X,Y) )
& ( ? [X] :
( ~ p204(X)
& r1(Y,X) )
| p404(Y) )
& ( ? [X] :
( ~ p204(X)
& r1(Y,X) )
| ~ p504(Y) )
& ( ? [X] :
( ~ p204(X)
& r1(Y,X) )
| ~ p604(Y) )
& ( ? [X] :
( ~ p304(X)
& r1(Y,X) )
| p404(Y) )
& ( ? [X] :
( ~ p304(X)
& r1(Y,X) )
| ~ p504(Y) )
& ( ? [X] :
( ~ p304(X)
& r1(Y,X) )
| ~ p604(Y) )
& ( p404(Y)
| ~ p504(Y) )
& ( p404(Y)
| ~ p604(Y) )
& ( ~ p504(Y)
| ~ p604(Y) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ? [X] : sP5_prd(X,Y) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ? [X] : sP4_prd(X,Y) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ? [X] : sP3_prd(X,Y) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ~ p505(Y) )
& ( ? [X] :
( ~ p105(X)
& r1(Y,X) )
| ~ p605(Y) )
& ( ? [X] :
( ~ p205(X)
& r1(Y,X) )
| ? [X] : sP2_prd(X,Y) )
& ( ? [X] :
( ~ p205(X)
& r1(Y,X) )
| ? [X] : sP1_prd(X,Y) )
& ( ? [X] :
( ~ p205(X)
& r1(Y,X) )
| ~ p505(Y) )
& ( ? [X] :
( ~ p205(X)
& r1(Y,X) )
| ~ p605(Y) )
& ( ? [X] :
( ~ p305(X)
& r1(Y,X) )
| ? [X] : sP0_prd(X,Y) )
& ( ? [X] :
( ~ p305(X)
& r1(Y,X) )
| ~ p505(Y) )
& ( ? [X] :
( ~ p305(X)
& r1(Y,X) )
| ~ p605(Y) )
& ( ? [X] :
( ~ p405(X)
& r1(Y,X) )
| ~ p505(Y) )
& ( ? [X] :
( ~ p405(X)
& r1(Y,X) )
| ~ p605(Y) )
& ( ~ p505(Y)
| ~ p605(Y) ) )
| ~ r1(X,Y) ) ),
inference(formula_renaming,[status(thm)],[f3,f13,f12,f11,f10,f9,f8,f7,f6,f5,f4]) ).
fof(f15,plain,
( ( p101(sK51_skl)
| ! [X] :
( p102(X)
| ~ r1(sK51_skl,X) )
| ! [X] :
( p103(X)
| ~ r1(sK51_skl,X) )
| ! [X] :
( p104(X)
| ~ r1(sK51_skl,X) )
| ! [X] :
( p105(X)
| ~ r1(sK51_skl,X) ) )
& ( p201(sK51_skl)
| p202(sK51_skl)
| ! [X] :
( p203(X)
| ~ r1(sK51_skl,X) )
| ! [X] :
( p204(X)
| ~ r1(sK51_skl,X) )
| ! [X] :
( p205(X)
| ~ r1(sK51_skl,X) ) )
& ( p301(sK51_skl)
| p302(sK51_skl)
| p303(sK51_skl)
| ! [X] :
( p304(X)
| ~ r1(sK51_skl,X) )
| ! [X] :
( p305(X)
| ~ r1(sK51_skl,X) ) )
& ( p401(sK51_skl)
| p402(sK51_skl)
| p403(sK51_skl)
| p404(sK51_skl)
| ! [X] :
( p405(X)
| ~ r1(sK51_skl,X) ) )
& ( p501(sK51_skl)
| p502(sK51_skl)
| p503(sK51_skl)
| p504(sK51_skl)
| p505(sK51_skl) )
& ( p601(sK51_skl)
| p602(sK51_skl)
| p603(sK51_skl)
| p604(sK51_skl)
| p605(sK51_skl) )
& r1(sK0_skl,sK51_skl)
& ! [Y] :
( ( ( ~ p101(Y)
| ~ p201(Y) )
& ( ~ p101(Y)
| ~ p301(Y) )
& ( ~ p101(Y)
| ~ p401(Y) )
& ( ~ p101(Y)
| ~ p501(Y) )
& ( ~ p101(Y)
| ~ p601(Y) )
& ( ~ p201(Y)
| ~ p301(Y) )
& ( ~ p201(Y)
| ~ p401(Y) )
& ( ~ p201(Y)
| ~ p501(Y) )
& ( ~ p201(Y)
| ~ p601(Y) )
& ( ~ p301(Y)
| ~ p401(Y) )
& ( ~ p301(Y)
| ~ p501(Y) )
& ( ~ p301(Y)
| ~ p601(Y) )
& ( ~ p401(Y)
| ~ p501(Y) )
& ( ~ p401(Y)
| ~ p601(Y) )
& ( ~ p501(Y)
| ~ p601(Y) )
& ( ( ~ p102(sK50_skl(Y))
& r1(Y,sK50_skl(Y)) )
| ~ p202(Y) )
& ( ( ~ p102(sK49_skl(Y))
& r1(Y,sK49_skl(Y)) )
| ~ p302(Y) )
& ( ( ~ p102(sK48_skl(Y))
& r1(Y,sK48_skl(Y)) )
| ~ p402(Y) )
& ( ( ~ p102(sK47_skl(Y))
& r1(Y,sK47_skl(Y)) )
| ~ p502(Y) )
& ( ( ~ p102(sK46_skl(Y))
& r1(Y,sK46_skl(Y)) )
| ~ p602(Y) )
& ( ~ p202(Y)
| ~ p302(Y) )
& ( ~ p202(Y)
| ~ p402(Y) )
& ( ~ p202(Y)
| ~ p502(Y) )
& ( ~ p202(Y)
| ~ p602(Y) )
& ( ~ p302(Y)
| ~ p402(Y) )
& ( ~ p302(Y)
| ~ p502(Y) )
& ( ~ p302(Y)
| ~ p602(Y) )
& ( ~ p402(Y)
| ~ p502(Y) )
& ( ~ p402(Y)
| ~ p602(Y) )
& ( ~ p502(Y)
| ~ p602(Y) )
& ( ( ~ p103(sK45_skl(Y))
& r1(Y,sK45_skl(Y)) )
| sP9_prd(sK44_skl(Y),Y) )
& ( ( ~ p103(sK43_skl(Y))
& r1(Y,sK43_skl(Y)) )
| ~ p303(Y) )
& ( ( ~ p103(sK42_skl(Y))
& r1(Y,sK42_skl(Y)) )
| ~ p403(Y) )
& ( ( ~ p103(sK41_skl(Y))
& r1(Y,sK41_skl(Y)) )
| ~ p503(Y) )
& ( ( ~ p103(sK40_skl(Y))
& r1(Y,sK40_skl(Y)) )
| ~ p603(Y) )
& ( ( ~ p203(sK39_skl(Y))
& r1(Y,sK39_skl(Y)) )
| ~ p303(Y) )
& ( ( ~ p203(sK38_skl(Y))
& r1(Y,sK38_skl(Y)) )
| ~ p403(Y) )
& ( ( ~ p203(sK37_skl(Y))
& r1(Y,sK37_skl(Y)) )
| ~ p503(Y) )
& ( ( ~ p203(sK36_skl(Y))
& r1(Y,sK36_skl(Y)) )
| ~ p603(Y) )
& ( ~ p303(Y)
| ~ p403(Y) )
& ( ~ p303(Y)
| ~ p503(Y) )
& ( ~ p303(Y)
| ~ p603(Y) )
& ( ~ p403(Y)
| ~ p503(Y) )
& ( ~ p403(Y)
| ~ p603(Y) )
& ( ~ p503(Y)
| ~ p603(Y) )
& ( ( ~ p104(sK35_skl(Y))
& r1(Y,sK35_skl(Y)) )
| sP8_prd(sK34_skl(Y),Y) )
& ( ( ~ p104(sK33_skl(Y))
& r1(Y,sK33_skl(Y)) )
| sP7_prd(sK32_skl(Y),Y) )
& ( ( ~ p104(sK31_skl(Y))
& r1(Y,sK31_skl(Y)) )
| p404(Y) )
& ( ( ~ p104(sK30_skl(Y))
& r1(Y,sK30_skl(Y)) )
| ~ p504(Y) )
& ( ( ~ p104(sK29_skl(Y))
& r1(Y,sK29_skl(Y)) )
| ~ p604(Y) )
& ( ( ~ p204(sK28_skl(Y))
& r1(Y,sK28_skl(Y)) )
| sP6_prd(sK27_skl(Y),Y) )
& ( ( ~ p204(sK26_skl(Y))
& r1(Y,sK26_skl(Y)) )
| p404(Y) )
& ( ( ~ p204(sK25_skl(Y))
& r1(Y,sK25_skl(Y)) )
| ~ p504(Y) )
& ( ( ~ p204(sK24_skl(Y))
& r1(Y,sK24_skl(Y)) )
| ~ p604(Y) )
& ( ( ~ p304(sK23_skl(Y))
& r1(Y,sK23_skl(Y)) )
| p404(Y) )
& ( ( ~ p304(sK22_skl(Y))
& r1(Y,sK22_skl(Y)) )
| ~ p504(Y) )
& ( ( ~ p304(sK21_skl(Y))
& r1(Y,sK21_skl(Y)) )
| ~ p604(Y) )
& ( p404(Y)
| ~ p504(Y) )
& ( p404(Y)
| ~ p604(Y) )
& ( ~ p504(Y)
| ~ p604(Y) )
& ( ( ~ p105(sK20_skl(Y))
& r1(Y,sK20_skl(Y)) )
| sP5_prd(sK19_skl(Y),Y) )
& ( ( ~ p105(sK18_skl(Y))
& r1(Y,sK18_skl(Y)) )
| sP4_prd(sK17_skl(Y),Y) )
& ( ( ~ p105(sK16_skl(Y))
& r1(Y,sK16_skl(Y)) )
| sP3_prd(sK15_skl(Y),Y) )
& ( ( ~ p105(sK14_skl(Y))
& r1(Y,sK14_skl(Y)) )
| ~ p505(Y) )
& ( ( ~ p105(sK13_skl(Y))
& r1(Y,sK13_skl(Y)) )
| ~ p605(Y) )
& ( ( ~ p205(sK12_skl(Y))
& r1(Y,sK12_skl(Y)) )
| sP2_prd(sK11_skl(Y),Y) )
& ( ( ~ p205(sK10_skl(Y))
& r1(Y,sK10_skl(Y)) )
| sP1_prd(sK9_skl(Y),Y) )
& ( ( ~ p205(sK8_skl(Y))
& r1(Y,sK8_skl(Y)) )
| ~ p505(Y) )
& ( ( ~ p205(sK7_skl(Y))
& r1(Y,sK7_skl(Y)) )
| ~ p605(Y) )
& ( ( ~ p305(sK6_skl(Y))
& r1(Y,sK6_skl(Y)) )
| sP0_prd(sK5_skl(Y),Y) )
& ( ( ~ p305(sK4_skl(Y))
& r1(Y,sK4_skl(Y)) )
| ~ p505(Y) )
& ( ( ~ p305(sK3_skl(Y))
& r1(Y,sK3_skl(Y)) )
| ~ p605(Y) )
& ( ( ~ p405(sK2_skl(Y))
& r1(Y,sK2_skl(Y)) )
| ~ p505(Y) )
& ( ( ~ p405(sK1_skl(Y))
& r1(Y,sK1_skl(Y)) )
| ~ p605(Y) )
& ( ~ p505(Y)
| ~ p605(Y) ) )
| ~ 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]),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(X,sK43_skl(Y)),skolemize(X,sK44_skl(Y)),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(Y,sK51_skl)],[f14]) ).
fof(f16,plain,
! [X0] :
( ~ p505(X0)
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0] :
( r1(X0,sK1_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f18,plain,
! [X0] :
( ~ p405(sK1_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f19,plain,
! [X0] :
( r1(X0,sK2_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f20,plain,
! [X0] :
( ~ p405(sK2_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f21,plain,
! [X0] :
( r1(X0,sK3_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f22,plain,
! [X0] :
( ~ p305(sK3_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f23,plain,
! [X0] :
( r1(X0,sK4_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f24,plain,
! [X0] :
( ~ p305(sK4_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f25,plain,
! [X0] :
( r1(X0,sK6_skl(X0))
| sP0_prd(sK5_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f26,plain,
! [X0] :
( ~ p305(sK6_skl(X0))
| sP0_prd(sK5_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f27,plain,
! [X0] :
( r1(X0,sK7_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f28,plain,
! [X0] :
( ~ p205(sK7_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f29,plain,
! [X0] :
( r1(X0,sK8_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f30,plain,
! [X0] :
( ~ p205(sK8_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f31,plain,
! [X0] :
( r1(X0,sK10_skl(X0))
| sP1_prd(sK9_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f32,plain,
! [X0] :
( ~ p205(sK10_skl(X0))
| sP1_prd(sK9_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f33,plain,
! [X0] :
( r1(X0,sK12_skl(X0))
| sP2_prd(sK11_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f34,plain,
! [X0] :
( ~ p205(sK12_skl(X0))
| sP2_prd(sK11_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f35,plain,
! [X0] :
( r1(X0,sK13_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f36,plain,
! [X0] :
( ~ p105(sK13_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f37,plain,
! [X0] :
( r1(X0,sK14_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f38,plain,
! [X0] :
( ~ p105(sK14_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f39,plain,
! [X0] :
( r1(X0,sK16_skl(X0))
| sP3_prd(sK15_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f40,plain,
! [X0] :
( ~ p105(sK16_skl(X0))
| sP3_prd(sK15_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f41,plain,
! [X0] :
( r1(X0,sK18_skl(X0))
| sP4_prd(sK17_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f42,plain,
! [X0] :
( ~ p105(sK18_skl(X0))
| sP4_prd(sK17_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f43,plain,
! [X0] :
( r1(X0,sK20_skl(X0))
| sP5_prd(sK19_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f44,plain,
! [X0] :
( ~ p105(sK20_skl(X0))
| sP5_prd(sK19_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f45,plain,
! [X0] :
( ~ p504(X0)
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f46,plain,
! [X0] :
( p404(X0)
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f47,plain,
! [X0] :
( p404(X0)
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f48,plain,
! [X0] :
( r1(X0,sK21_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f49,plain,
! [X0] :
( ~ p304(sK21_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f50,plain,
! [X0] :
( r1(X0,sK22_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f51,plain,
! [X0] :
( ~ p304(sK22_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f52,plain,
! [X0] :
( r1(X0,sK23_skl(X0))
| p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f53,plain,
! [X0] :
( ~ p304(sK23_skl(X0))
| p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f54,plain,
! [X0] :
( r1(X0,sK24_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f55,plain,
! [X0] :
( ~ p204(sK24_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f56,plain,
! [X0] :
( r1(X0,sK25_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f57,plain,
! [X0] :
( ~ p204(sK25_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f58,plain,
! [X0] :
( r1(X0,sK26_skl(X0))
| p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f59,plain,
! [X0] :
( ~ p204(sK26_skl(X0))
| p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f60,plain,
! [X0] :
( r1(X0,sK28_skl(X0))
| sP6_prd(sK27_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f61,plain,
! [X0] :
( ~ p204(sK28_skl(X0))
| sP6_prd(sK27_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f62,plain,
! [X0] :
( r1(X0,sK29_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f63,plain,
! [X0] :
( ~ p104(sK29_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f64,plain,
! [X0] :
( r1(X0,sK30_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f65,plain,
! [X0] :
( ~ p104(sK30_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f66,plain,
! [X0] :
( r1(X0,sK31_skl(X0))
| p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f67,plain,
! [X0] :
( ~ p104(sK31_skl(X0))
| p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f68,plain,
! [X0] :
( r1(X0,sK33_skl(X0))
| sP7_prd(sK32_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f69,plain,
! [X0] :
( ~ p104(sK33_skl(X0))
| sP7_prd(sK32_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f70,plain,
! [X0] :
( r1(X0,sK35_skl(X0))
| sP8_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f71,plain,
! [X0] :
( ~ p104(sK35_skl(X0))
| sP8_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f72,plain,
! [X0] :
( ~ p503(X0)
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f73,plain,
! [X0] :
( ~ p403(X0)
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f74,plain,
! [X0] :
( ~ p403(X0)
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f75,plain,
! [X0] :
( ~ p303(X0)
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f76,plain,
! [X0] :
( ~ p303(X0)
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f77,plain,
! [X0] :
( ~ p303(X0)
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f78,plain,
! [X0] :
( r1(X0,sK36_skl(X0))
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f79,plain,
! [X0] :
( ~ p203(sK36_skl(X0))
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f80,plain,
! [X0] :
( r1(X0,sK37_skl(X0))
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f81,plain,
! [X0] :
( ~ p203(sK37_skl(X0))
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f82,plain,
! [X0] :
( r1(X0,sK38_skl(X0))
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f83,plain,
! [X0] :
( ~ p203(sK38_skl(X0))
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f84,plain,
! [X0] :
( r1(X0,sK39_skl(X0))
| ~ p303(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f85,plain,
! [X0] :
( ~ p203(sK39_skl(X0))
| ~ p303(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f86,plain,
! [X0] :
( r1(X0,sK40_skl(X0))
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f87,plain,
! [X0] :
( ~ p103(sK40_skl(X0))
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f88,plain,
! [X0] :
( r1(X0,sK41_skl(X0))
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f89,plain,
! [X0] :
( ~ p103(sK41_skl(X0))
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f90,plain,
! [X0] :
( r1(X0,sK42_skl(X0))
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f91,plain,
! [X0] :
( ~ p103(sK42_skl(X0))
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f92,plain,
! [X0] :
( r1(X0,sK43_skl(X0))
| ~ p303(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f93,plain,
! [X0] :
( ~ p103(sK43_skl(X0))
| ~ p303(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f94,plain,
! [X0] :
( r1(X0,sK45_skl(X0))
| sP9_prd(sK44_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f95,plain,
! [X0] :
( ~ p103(sK45_skl(X0))
| sP9_prd(sK44_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f96,plain,
! [X0] :
( ~ p502(X0)
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f97,plain,
! [X0] :
( ~ p402(X0)
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f98,plain,
! [X0] :
( ~ p402(X0)
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f99,plain,
! [X0] :
( ~ p302(X0)
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f100,plain,
! [X0] :
( ~ p302(X0)
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f101,plain,
! [X0] :
( ~ p302(X0)
| ~ p402(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f102,plain,
! [X0] :
( ~ p202(X0)
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f103,plain,
! [X0] :
( ~ p202(X0)
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f104,plain,
! [X0] :
( ~ p202(X0)
| ~ p402(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f105,plain,
! [X0] :
( ~ p202(X0)
| ~ p302(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f106,plain,
! [X0] :
( r1(X0,sK46_skl(X0))
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f107,plain,
! [X0] :
( ~ p102(sK46_skl(X0))
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f108,plain,
! [X0] :
( r1(X0,sK47_skl(X0))
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f109,plain,
! [X0] :
( ~ p102(sK47_skl(X0))
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f110,plain,
! [X0] :
( r1(X0,sK48_skl(X0))
| ~ p402(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f111,plain,
! [X0] :
( ~ p102(sK48_skl(X0))
| ~ p402(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f112,plain,
! [X0] :
( r1(X0,sK49_skl(X0))
| ~ p302(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f113,plain,
! [X0] :
( ~ p102(sK49_skl(X0))
| ~ p302(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f114,plain,
! [X0] :
( r1(X0,sK50_skl(X0))
| ~ p202(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f115,plain,
! [X0] :
( ~ p102(sK50_skl(X0))
| ~ p202(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f116,plain,
! [X0] :
( ~ p501(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f117,plain,
! [X0] :
( ~ p401(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f118,plain,
! [X0] :
( ~ p401(X0)
| ~ p501(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f119,plain,
! [X0] :
( ~ p301(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f120,plain,
! [X0] :
( ~ p301(X0)
| ~ p501(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f121,plain,
! [X0] :
( ~ p301(X0)
| ~ p401(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f122,plain,
! [X0] :
( ~ p201(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f123,plain,
! [X0] :
( ~ p201(X0)
| ~ p501(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f124,plain,
! [X0] :
( ~ p201(X0)
| ~ p401(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f125,plain,
! [X0] :
( ~ p201(X0)
| ~ p301(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f126,plain,
! [X0] :
( ~ p101(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f127,plain,
! [X0] :
( ~ p101(X0)
| ~ p501(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f128,plain,
! [X0] :
( ~ p101(X0)
| ~ p401(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f129,plain,
! [X0] :
( ~ p101(X0)
| ~ p301(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f130,plain,
! [X0] :
( ~ p101(X0)
| ~ p201(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f131,plain,
r1(sK0_skl,sK51_skl),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f132,plain,
( p601(sK51_skl)
| p602(sK51_skl)
| p603(sK51_skl)
| p604(sK51_skl)
| p605(sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f133,plain,
( p501(sK51_skl)
| p502(sK51_skl)
| p503(sK51_skl)
| p504(sK51_skl)
| p505(sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f134,plain,
! [X0] :
( p401(sK51_skl)
| p402(sK51_skl)
| p403(sK51_skl)
| p404(sK51_skl)
| p405(X0)
| ~ r1(sK51_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f135,plain,
! [X0,X1] :
( p301(sK51_skl)
| p302(sK51_skl)
| p303(sK51_skl)
| p304(X1)
| ~ r1(sK51_skl,X1)
| p305(X0)
| ~ r1(sK51_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f136,plain,
! [X0,X1,X2] :
( p201(sK51_skl)
| p202(sK51_skl)
| p203(X2)
| ~ r1(sK51_skl,X2)
| p204(X1)
| ~ r1(sK51_skl,X1)
| p205(X0)
| ~ r1(sK51_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( p101(sK51_skl)
| p102(X3)
| ~ r1(sK51_skl,X3)
| p103(X2)
| ~ r1(sK51_skl,X2)
| p104(X1)
| ~ r1(sK51_skl,X1)
| p105(X0)
| ~ r1(sK51_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f138,plain,
! [Y,X] :
( ( p405(X)
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ( ( ~ p405(X)
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f139,plain,
( ! [Y,X] :
( p405(X)
| ~ r1(Y,X)
| sP0_prd(X,Y) )
& ! [Y,X] :
( ( ~ p405(X)
& r1(Y,X) )
| ~ sP0_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f138]) ).
fof(f140,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
! [X0,X1] :
( ~ p405(X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f142,plain,
! [X0,X1] :
( p405(X0)
| ~ r1(X1,X0)
| sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f143,plain,
! [Y,X] :
( ( p405(X)
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ( ( ~ p405(X)
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
( ! [Y,X] :
( p405(X)
| ~ r1(Y,X)
| sP1_prd(X,Y) )
& ! [Y,X] :
( ( ~ p405(X)
& r1(Y,X) )
| ~ sP1_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( ~ p405(X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f147,plain,
! [X0,X1] :
( p405(X0)
| ~ r1(X1,X0)
| sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f148,plain,
! [Y,X] :
( ( p305(X)
| ~ r1(Y,X)
| sP2_prd(X,Y) )
& ( ( ~ p305(X)
& r1(Y,X) )
| ~ sP2_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f149,plain,
( ! [Y,X] :
( p305(X)
| ~ r1(Y,X)
| sP2_prd(X,Y) )
& ! [Y,X] :
( ( ~ p305(X)
& r1(Y,X) )
| ~ sP2_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f150,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
! [X0,X1] :
( ~ p305(X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,plain,
! [X0,X1] :
( p305(X0)
| ~ r1(X1,X0)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f153,plain,
! [Y,X] :
( ( p405(X)
| ~ r1(Y,X)
| sP3_prd(X,Y) )
& ( ( ~ p405(X)
& r1(Y,X) )
| ~ sP3_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f154,plain,
( ! [Y,X] :
( p405(X)
| ~ r1(Y,X)
| sP3_prd(X,Y) )
& ! [Y,X] :
( ( ~ p405(X)
& r1(Y,X) )
| ~ sP3_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
! [X0,X1] :
( ~ p405(X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f157,plain,
! [X0,X1] :
( p405(X0)
| ~ r1(X1,X0)
| sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f158,plain,
! [Y,X] :
( ( p305(X)
| ~ r1(Y,X)
| sP4_prd(X,Y) )
& ( ( ~ p305(X)
& r1(Y,X) )
| ~ sP4_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f159,plain,
( ! [Y,X] :
( p305(X)
| ~ r1(Y,X)
| sP4_prd(X,Y) )
& ! [Y,X] :
( ( ~ p305(X)
& r1(Y,X) )
| ~ sP4_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f158]) ).
fof(f160,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
! [X0,X1] :
( ~ p305(X0)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f162,plain,
! [X0,X1] :
( p305(X0)
| ~ r1(X1,X0)
| sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f163,plain,
! [Y,X] :
( ( p205(X)
| ~ r1(Y,X)
| sP5_prd(X,Y) )
& ( ( ~ p205(X)
& r1(Y,X) )
| ~ sP5_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f164,plain,
( ! [Y,X] :
( p205(X)
| ~ r1(Y,X)
| sP5_prd(X,Y) )
& ! [Y,X] :
( ( ~ p205(X)
& r1(Y,X) )
| ~ sP5_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f163]) ).
fof(f165,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
! [X0,X1] :
( ~ p205(X0)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f167,plain,
! [X0,X1] :
( p205(X0)
| ~ r1(X1,X0)
| sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f168,plain,
! [Y,X] :
( ( p304(X)
| ~ r1(Y,X)
| sP6_prd(X,Y) )
& ( ( ~ p304(X)
& r1(Y,X) )
| ~ sP6_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f169,plain,
( ! [Y,X] :
( p304(X)
| ~ r1(Y,X)
| sP6_prd(X,Y) )
& ! [Y,X] :
( ( ~ p304(X)
& r1(Y,X) )
| ~ sP6_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f168]) ).
fof(f170,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( ~ p304(X0)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f172,plain,
! [X0,X1] :
( p304(X0)
| ~ r1(X1,X0)
| sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f173,plain,
! [Y,X] :
( ( p304(X)
| ~ r1(Y,X)
| sP7_prd(X,Y) )
& ( ( ~ p304(X)
& r1(Y,X) )
| ~ sP7_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f174,plain,
( ! [Y,X] :
( p304(X)
| ~ r1(Y,X)
| sP7_prd(X,Y) )
& ! [Y,X] :
( ( ~ p304(X)
& r1(Y,X) )
| ~ sP7_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f175,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
! [X0,X1] :
( ~ p304(X0)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f177,plain,
! [X0,X1] :
( p304(X0)
| ~ r1(X1,X0)
| sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f178,plain,
! [Y,X] :
( ( p204(X)
| ~ r1(Y,X)
| sP8_prd(X,Y) )
& ( ( ~ p204(X)
& r1(Y,X) )
| ~ sP8_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f179,plain,
( ! [Y,X] :
( p204(X)
| ~ r1(Y,X)
| sP8_prd(X,Y) )
& ! [Y,X] :
( ( ~ p204(X)
& r1(Y,X) )
| ~ sP8_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f178]) ).
fof(f180,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
! [X0,X1] :
( ~ p204(X0)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f182,plain,
! [X0,X1] :
( p204(X0)
| ~ r1(X1,X0)
| sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f183,plain,
! [Y,X] :
( ( p203(X)
| ~ r1(Y,X)
| sP9_prd(X,Y) )
& ( ( ~ p203(X)
& r1(Y,X) )
| ~ sP9_prd(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f184,plain,
( ! [Y,X] :
( p203(X)
| ~ r1(Y,X)
| sP9_prd(X,Y) )
& ! [Y,X] :
( ( ~ p203(X)
& r1(Y,X) )
| ~ sP9_prd(X,Y) ) ),
inference(miniscoping,[status(thm)],[f183]) ).
fof(f185,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
! [X0,X1] :
( ~ p203(X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f187,plain,
! [X0,X1] :
( p203(X0)
| ~ r1(X1,X0)
| sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f188,definition,
( sQ0_spl
<=> p605(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ0_spl
| p605(sK51_skl) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ0_spl
| ~ p605(sK51_skl) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ1_spl
<=> p604(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ1_spl
| p604(sK51_skl) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ1_spl
| ~ p604(sK51_skl) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ2_spl
<=> p603(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ2_spl
| p603(sK51_skl) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( sQ2_spl
| ~ p603(sK51_skl) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ3_spl
<=> p602(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ3_spl
| p602(sK51_skl) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ3_spl
| ~ p602(sK51_skl) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ4_spl
<=> p601(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ4_spl
| p601(sK51_skl) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( sQ4_spl
| ~ p601(sK51_skl) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f132,f188,f191,f194,f197,f200]) ).
fof(f204,definition,
( sQ5_spl
<=> p505(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ5_spl
| p505(sK51_skl) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ5_spl
| ~ p505(sK51_skl) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ6_spl
<=> p504(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ6_spl
| p504(sK51_skl) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ6_spl
| ~ p504(sK51_skl) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ7_spl
<=> p503(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ7_spl
| p503(sK51_skl) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ7_spl
| ~ p503(sK51_skl) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ8_spl
<=> p502(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ8_spl
| p502(sK51_skl) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ8_spl
| ~ p502(sK51_skl) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ9_spl
<=> p501(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ9_spl
| p501(sK51_skl) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ9_spl
| ~ p501(sK51_skl) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f133,f204,f207,f210,f213,f216]) ).
fof(f220,definition,
! [X0] :
( sQ10_spl
<=> ( p405(X0)
| ~ r1(sK51_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f221,plain,
! [X0] :
( ~ sQ10_spl
| p405(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
( sQ11_spl
<=> p404(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ11_spl
| p404(sK51_skl) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,definition,
( sQ12_spl
<=> p403(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ12_spl
| p403(sK51_skl) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( sQ12_spl
| ~ p403(sK51_skl) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ13_spl
<=> p402(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ13_spl
| p402(sK51_skl) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ13_spl
| ~ p402(sK51_skl) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ14_spl
<=> p401(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ14_spl
| p401(sK51_skl) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ14_spl
| ~ p401(sK51_skl) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f134,f220,f223,f226,f229,f232]) ).
fof(f236,definition,
! [X0] :
( sQ15_spl
<=> ( p305(X0)
| ~ r1(sK51_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f237,plain,
! [X0] :
( ~ sQ15_spl
| p305(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
! [X1] :
( sQ16_spl
<=> ( p304(X1)
| ~ r1(sK51_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f240,plain,
! [X0] :
( ~ sQ16_spl
| p304(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ17_spl
<=> p303(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ17_spl
| p303(sK51_skl) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ17_spl
| ~ p303(sK51_skl) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ18_spl
<=> p302(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ18_spl
| p302(sK51_skl) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ18_spl
| ~ p302(sK51_skl) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ19_spl
<=> p301(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ19_spl
| p301(sK51_skl) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ19_spl
| ~ p301(sK51_skl) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f135,f236,f239,f242,f245,f248]) ).
fof(f252,definition,
! [X0] :
( sQ20_spl
<=> ( p205(X0)
| ~ r1(sK51_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f253,plain,
! [X0] :
( ~ sQ20_spl
| p205(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
! [X1] :
( sQ21_spl
<=> ( p204(X1)
| ~ r1(sK51_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f256,plain,
! [X0] :
( ~ sQ21_spl
| p204(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
! [X2] :
( sQ22_spl
<=> ( p203(X2)
| ~ r1(sK51_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f259,plain,
! [X0] :
( ~ sQ22_spl
| p203(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ23_spl
<=> p202(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ23_spl
| p202(sK51_skl) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ23_spl
| ~ p202(sK51_skl) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,definition,
( sQ24_spl
<=> p201(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ24_spl
| p201(sK51_skl) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ24_spl
| ~ p201(sK51_skl) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f136,f252,f255,f258,f261,f264]) ).
fof(f268,definition,
! [X0] :
( sQ25_spl
<=> ( p105(X0)
| ~ r1(sK51_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f269,plain,
! [X0] :
( ~ sQ25_spl
| p105(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
! [X1] :
( sQ26_spl
<=> ( p104(X1)
| ~ r1(sK51_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f272,plain,
! [X0] :
( ~ sQ26_spl
| p104(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,definition,
! [X2] :
( sQ27_spl
<=> ( p103(X2)
| ~ r1(sK51_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f275,plain,
! [X0] :
( ~ sQ27_spl
| p103(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,definition,
! [X3] :
( sQ28_spl
<=> ( p102(X3)
| ~ r1(sK51_skl,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f278,plain,
! [X0] :
( ~ sQ28_spl
| p102(X0)
| ~ r1(sK51_skl,X0) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,definition,
( sQ29_spl
<=> p101(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ29_spl
| p101(sK51_skl) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ29_spl
| ~ p101(sK51_skl) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f137,f268,f271,f274,f277,f280]) ).
fof(f284,plain,
( r1(sK51_skl,sK1_skl(sK51_skl))
| ~ p605(sK51_skl) ),
inference(resolution,[status(thm)],[f131,f17]) ).
fof(f285,plain,
( ~ p505(sK51_skl)
| ~ p605(sK51_skl) ),
inference(resolution,[status(thm)],[f131,f16]) ).
fof(f286,definition,
( sQ30_spl
<=> r1(sK51_skl,sK1_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ30_spl
| r1(sK51_skl,sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( sQ30_spl
| ~ r1(sK51_skl,sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( sQ30_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f284,f188,f286]) ).
fof(f290,plain,
( ~ sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f285,f188,f204]) ).
fof(f291,plain,
( r1(sK51_skl,sK2_skl(sK51_skl))
| ~ p505(sK51_skl) ),
inference(resolution,[status(thm)],[f19,f131]) ).
fof(f292,definition,
( sQ31_spl
<=> r1(sK51_skl,sK2_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ31_spl
| r1(sK51_skl,sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ31_spl
| ~ r1(sK51_skl,sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( sQ31_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f291,f204,f292]) ).
fof(f296,plain,
( r1(sK51_skl,sK3_skl(sK51_skl))
| ~ p605(sK51_skl) ),
inference(resolution,[status(thm)],[f21,f131]) ).
fof(f297,definition,
( sQ32_spl
<=> r1(sK51_skl,sK3_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ32_spl
| r1(sK51_skl,sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ32_spl
| ~ r1(sK51_skl,sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f296,f188,f297]) ).
fof(f301,plain,
( r1(sK51_skl,sK4_skl(sK51_skl))
| ~ p505(sK51_skl) ),
inference(resolution,[status(thm)],[f23,f131]) ).
fof(f302,definition,
( sQ33_spl
<=> r1(sK51_skl,sK4_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ33_spl
| r1(sK51_skl,sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ33_spl
| ~ r1(sK51_skl,sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ33_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f301,f204,f302]) ).
fof(f306,plain,
( ~ sQ10_spl
| ~ sQ30_spl
| p405(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f221]) ).
fof(f307,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| p305(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f237]) ).
fof(f308,plain,
( ~ sQ16_spl
| ~ sQ30_spl
| p304(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f240]) ).
fof(f309,plain,
( ~ sQ20_spl
| ~ sQ30_spl
| p205(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f253]) ).
fof(f310,plain,
( ~ sQ21_spl
| ~ sQ30_spl
| p204(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f256]) ).
fof(f311,plain,
( ~ sQ22_spl
| ~ sQ30_spl
| p203(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f259]) ).
fof(f312,plain,
( ~ sQ25_spl
| ~ sQ30_spl
| p105(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f269]) ).
fof(f313,plain,
( ~ sQ26_spl
| ~ sQ30_spl
| p104(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f272]) ).
fof(f314,plain,
( ~ sQ27_spl
| ~ sQ30_spl
| p103(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f275]) ).
fof(f315,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| p102(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f278]) ).
fof(f316,plain,
( ~ sQ10_spl
| ~ sQ31_spl
| p405(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f221]) ).
fof(f317,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| p305(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f237]) ).
fof(f318,plain,
( ~ sQ16_spl
| ~ sQ31_spl
| p304(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f240]) ).
fof(f319,plain,
( ~ sQ20_spl
| ~ sQ31_spl
| p205(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f253]) ).
fof(f320,plain,
( ~ sQ21_spl
| ~ sQ31_spl
| p204(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f256]) ).
fof(f321,plain,
( ~ sQ22_spl
| ~ sQ31_spl
| p203(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f259]) ).
fof(f322,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| p105(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f269]) ).
fof(f323,plain,
( ~ sQ26_spl
| ~ sQ31_spl
| p104(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f272]) ).
fof(f324,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| p103(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f275]) ).
fof(f325,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| p102(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f278]) ).
fof(f326,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| p405(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f221]) ).
fof(f327,plain,
( ~ sQ15_spl
| ~ sQ32_spl
| p305(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f237]) ).
fof(f328,plain,
( ~ sQ16_spl
| ~ sQ32_spl
| p304(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f240]) ).
fof(f329,plain,
( ~ sQ20_spl
| ~ sQ32_spl
| p205(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f253]) ).
fof(f330,plain,
( ~ sQ21_spl
| ~ sQ32_spl
| p204(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f256]) ).
fof(f331,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| p203(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f259]) ).
fof(f332,plain,
( ~ sQ25_spl
| ~ sQ32_spl
| p105(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f269]) ).
fof(f333,plain,
( ~ sQ26_spl
| ~ sQ32_spl
| p104(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f272]) ).
fof(f334,plain,
( ~ sQ27_spl
| ~ sQ32_spl
| p103(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f275]) ).
fof(f335,plain,
( ~ sQ28_spl
| ~ sQ32_spl
| p102(sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f298,f278]) ).
fof(f336,plain,
( ~ sQ10_spl
| ~ sQ33_spl
| p405(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f221]) ).
fof(f337,plain,
( ~ sQ15_spl
| ~ sQ33_spl
| p305(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f237]) ).
fof(f338,plain,
( ~ sQ16_spl
| ~ sQ33_spl
| p304(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f240]) ).
fof(f339,plain,
( ~ sQ20_spl
| ~ sQ33_spl
| p205(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f253]) ).
fof(f340,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| p204(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f256]) ).
fof(f341,plain,
( ~ sQ22_spl
| ~ sQ33_spl
| p203(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f259]) ).
fof(f342,plain,
( ~ sQ25_spl
| ~ sQ33_spl
| p105(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f269]) ).
fof(f343,plain,
( ~ sQ26_spl
| ~ sQ33_spl
| p104(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f272]) ).
fof(f344,plain,
( ~ sQ27_spl
| ~ sQ33_spl
| p103(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f275]) ).
fof(f345,plain,
( ~ sQ28_spl
| ~ sQ33_spl
| p102(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f278]) ).
fof(f346,plain,
( ~ p504(sK51_skl)
| ~ p604(sK51_skl) ),
inference(resolution,[status(thm)],[f45,f131]) ).
fof(f347,plain,
( ~ sQ6_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f346,f191,f207]) ).
fof(f348,plain,
( p404(sK51_skl)
| ~ p604(sK51_skl) ),
inference(resolution,[status(thm)],[f46,f131]) ).
fof(f349,plain,
( sQ11_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f348,f191,f223]) ).
fof(f350,plain,
( p404(sK51_skl)
| ~ p504(sK51_skl) ),
inference(resolution,[status(thm)],[f47,f131]) ).
fof(f351,plain,
( sQ11_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f350,f207,f223]) ).
fof(f352,plain,
( ~ p503(sK51_skl)
| ~ p603(sK51_skl) ),
inference(resolution,[status(thm)],[f72,f131]) ).
fof(f353,plain,
( ~ sQ7_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f352,f194,f210]) ).
fof(f354,plain,
( r1(sK51_skl,sK6_skl(sK51_skl))
| sP0_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f25,f131]) ).
fof(f355,definition,
( sQ34_spl
<=> sP0_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ34_spl
| sP0_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f357,plain,
( sQ34_spl
| ~ sP0_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,definition,
( sQ35_spl
<=> r1(sK51_skl,sK6_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ35_spl
| r1(sK51_skl,sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f360,plain,
( sQ35_spl
| ~ r1(sK51_skl,sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f354,f355,f358]) ).
fof(f362,plain,
( r1(sK51_skl,sK7_skl(sK51_skl))
| ~ p605(sK51_skl) ),
inference(resolution,[status(thm)],[f27,f131]) ).
fof(f363,definition,
( sQ36_spl
<=> r1(sK51_skl,sK7_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ36_spl
| r1(sK51_skl,sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( sQ36_spl
| ~ r1(sK51_skl,sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( sQ36_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f362,f188,f363]) ).
fof(f367,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| p405(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f221]) ).
fof(f368,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| p305(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f237]) ).
fof(f369,plain,
( ~ sQ16_spl
| ~ sQ35_spl
| p304(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f240]) ).
fof(f370,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| p205(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f253]) ).
fof(f371,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| p204(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f256]) ).
fof(f372,plain,
( ~ sQ22_spl
| ~ sQ35_spl
| p203(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f259]) ).
fof(f373,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| p105(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f269]) ).
fof(f374,plain,
( ~ sQ26_spl
| ~ sQ35_spl
| p104(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f272]) ).
fof(f375,plain,
( ~ sQ27_spl
| ~ sQ35_spl
| p103(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f275]) ).
fof(f376,plain,
( ~ sQ28_spl
| ~ sQ35_spl
| p102(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f278]) ).
fof(f377,plain,
( ~ sQ10_spl
| ~ sQ36_spl
| p405(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f221]) ).
fof(f378,plain,
( ~ sQ15_spl
| ~ sQ36_spl
| p305(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f237]) ).
fof(f379,plain,
( ~ sQ16_spl
| ~ sQ36_spl
| p304(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f240]) ).
fof(f380,plain,
( ~ sQ20_spl
| ~ sQ36_spl
| p205(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f253]) ).
fof(f381,plain,
( ~ sQ21_spl
| ~ sQ36_spl
| p204(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f256]) ).
fof(f382,plain,
( ~ sQ22_spl
| ~ sQ36_spl
| p203(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f259]) ).
fof(f383,plain,
( ~ sQ25_spl
| ~ sQ36_spl
| p105(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f269]) ).
fof(f384,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| p104(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f272]) ).
fof(f385,plain,
( ~ sQ27_spl
| ~ sQ36_spl
| p103(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f275]) ).
fof(f386,plain,
( ~ sQ28_spl
| ~ sQ36_spl
| p102(sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f364,f278]) ).
fof(f387,plain,
( ~ p403(sK51_skl)
| ~ p603(sK51_skl) ),
inference(resolution,[status(thm)],[f73,f131]) ).
fof(f388,plain,
( ~ sQ12_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f387,f194,f226]) ).
fof(f389,plain,
( ~ p403(sK51_skl)
| ~ p503(sK51_skl) ),
inference(resolution,[status(thm)],[f74,f131]) ).
fof(f390,plain,
( ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f389,f210,f226]) ).
fof(f391,plain,
( ~ p303(sK51_skl)
| ~ p603(sK51_skl) ),
inference(resolution,[status(thm)],[f75,f131]) ).
fof(f392,plain,
( ~ sQ17_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f391,f194,f242]) ).
fof(f393,plain,
( ~ p303(sK51_skl)
| ~ p503(sK51_skl) ),
inference(resolution,[status(thm)],[f76,f131]) ).
fof(f394,plain,
( ~ sQ17_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f393,f210,f242]) ).
fof(f395,plain,
( ~ p303(sK51_skl)
| ~ p403(sK51_skl) ),
inference(resolution,[status(thm)],[f77,f131]) ).
fof(f396,plain,
( ~ sQ17_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f395,f226,f242]) ).
fof(f397,plain,
( ~ p502(sK51_skl)
| ~ p602(sK51_skl) ),
inference(resolution,[status(thm)],[f96,f131]) ).
fof(f398,plain,
( ~ sQ8_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f397,f197,f213]) ).
fof(f399,plain,
( ~ p402(sK51_skl)
| ~ p602(sK51_skl) ),
inference(resolution,[status(thm)],[f97,f131]) ).
fof(f400,plain,
( ~ sQ13_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f399,f197,f229]) ).
fof(f401,plain,
( ~ p402(sK51_skl)
| ~ p502(sK51_skl) ),
inference(resolution,[status(thm)],[f98,f131]) ).
fof(f402,plain,
( ~ sQ13_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f401,f213,f229]) ).
fof(f403,plain,
( r1(sK51_skl,sK8_skl(sK51_skl))
| ~ p505(sK51_skl) ),
inference(resolution,[status(thm)],[f29,f131]) ).
fof(f404,definition,
( sQ37_spl
<=> r1(sK51_skl,sK8_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ37_spl
| r1(sK51_skl,sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ37_spl
| ~ r1(sK51_skl,sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f403,f204,f404]) ).
fof(f408,plain,
( ~ sQ20_spl
| ~ sQ37_spl
| p205(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f405,f253]) ).
fof(f409,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| p204(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f405,f256]) ).
fof(f410,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| p203(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f405,f259]) ).
fof(f411,plain,
( ~ sQ25_spl
| ~ sQ37_spl
| p105(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f405,f269]) ).
fof(f412,plain,
( ~ sQ26_spl
| ~ sQ37_spl
| p104(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f405,f272]) ).
fof(f413,plain,
( ~ sQ27_spl
| ~ sQ37_spl
| p103(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f405,f275]) ).
fof(f414,plain,
( ~ sQ28_spl
| ~ sQ37_spl
| p102(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f405,f278]) ).
fof(f415,plain,
( ~ p302(sK51_skl)
| ~ p602(sK51_skl) ),
inference(resolution,[status(thm)],[f99,f131]) ).
fof(f416,plain,
( ~ sQ18_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f415,f197,f245]) ).
fof(f417,plain,
( ~ p302(sK51_skl)
| ~ p502(sK51_skl) ),
inference(resolution,[status(thm)],[f100,f131]) ).
fof(f418,plain,
( ~ sQ18_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f417,f213,f245]) ).
fof(f419,plain,
( ~ p302(sK51_skl)
| ~ p402(sK51_skl) ),
inference(resolution,[status(thm)],[f101,f131]) ).
fof(f420,plain,
( ~ sQ18_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f419,f229,f245]) ).
fof(f421,plain,
( r1(sK51_skl,sK10_skl(sK51_skl))
| sP1_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f31,f131]) ).
fof(f422,definition,
( sQ38_spl
<=> sP1_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ38_spl
| sP1_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f424,plain,
( sQ38_spl
| ~ sP1_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ39_spl
<=> r1(sK51_skl,sK10_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ39_spl
| r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( sQ39_spl
| ~ r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f421,f422,f425]) ).
fof(f429,plain,
( r1(sK51_skl,sK12_skl(sK51_skl))
| sP2_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f33,f131]) ).
fof(f430,definition,
( sQ40_spl
<=> sP2_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ40_spl
| sP2_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ40_spl
| ~ sP2_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ41_spl
<=> r1(sK51_skl,sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ41_spl
| r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ41_spl
| ~ r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f429,f430,f433]) ).
fof(f439,plain,
( ~ sQ22_spl
| ~ sQ39_spl
| p203(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f426,f259]) ).
fof(f440,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| p105(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f426,f269]) ).
fof(f441,plain,
( ~ sQ26_spl
| ~ sQ39_spl
| p104(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f426,f272]) ).
fof(f442,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| p103(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f426,f275]) ).
fof(f443,plain,
( ~ sQ28_spl
| ~ sQ39_spl
| p102(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f426,f278]) ).
fof(f444,plain,
( ~ sQ20_spl
| ~ sQ41_spl
| p205(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f434,f253]) ).
fof(f446,plain,
( ~ sQ22_spl
| ~ sQ41_spl
| p203(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f434,f259]) ).
fof(f447,plain,
( ~ sQ25_spl
| ~ sQ41_spl
| p105(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f434,f269]) ).
fof(f448,plain,
( ~ sQ26_spl
| ~ sQ41_spl
| p104(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f434,f272]) ).
fof(f449,plain,
( ~ sQ27_spl
| ~ sQ41_spl
| p103(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f434,f275]) ).
fof(f450,plain,
( ~ sQ28_spl
| ~ sQ41_spl
| p102(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f434,f278]) ).
fof(f451,plain,
( ~ p202(sK51_skl)
| ~ p602(sK51_skl) ),
inference(resolution,[status(thm)],[f102,f131]) ).
fof(f452,plain,
( ~ sQ23_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f451,f197,f261]) ).
fof(f453,plain,
( ~ p202(sK51_skl)
| ~ p502(sK51_skl) ),
inference(resolution,[status(thm)],[f103,f131]) ).
fof(f454,plain,
( ~ sQ23_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f453,f213,f261]) ).
fof(f455,plain,
( ~ p202(sK51_skl)
| ~ p402(sK51_skl) ),
inference(resolution,[status(thm)],[f104,f131]) ).
fof(f456,plain,
( ~ sQ23_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f455,f229,f261]) ).
fof(f457,plain,
( ~ p202(sK51_skl)
| ~ p302(sK51_skl) ),
inference(resolution,[status(thm)],[f105,f131]) ).
fof(f458,plain,
( ~ sQ23_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f457,f245,f261]) ).
fof(f459,plain,
( ~ p501(sK51_skl)
| ~ p601(sK51_skl) ),
inference(resolution,[status(thm)],[f116,f131]) ).
fof(f460,plain,
( ~ sQ9_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f459,f200,f216]) ).
fof(f461,plain,
( ~ p401(sK51_skl)
| ~ p601(sK51_skl) ),
inference(resolution,[status(thm)],[f117,f131]) ).
fof(f462,plain,
( ~ sQ14_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f461,f200,f232]) ).
fof(f463,plain,
( ~ p401(sK51_skl)
| ~ p501(sK51_skl) ),
inference(resolution,[status(thm)],[f118,f131]) ).
fof(f464,plain,
( ~ sQ14_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f463,f216,f232]) ).
fof(f465,plain,
( r1(sK51_skl,sK13_skl(sK51_skl))
| ~ p605(sK51_skl) ),
inference(resolution,[status(thm)],[f35,f131]) ).
fof(f466,definition,
( sQ42_spl
<=> r1(sK51_skl,sK13_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ42_spl
| r1(sK51_skl,sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ42_spl
| ~ r1(sK51_skl,sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( sQ42_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f465,f188,f466]) ).
fof(f470,plain,
( ~ sQ20_spl
| ~ sQ42_spl
| p205(sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f467,f253]) ).
fof(f471,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| p204(sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f467,f256]) ).
fof(f472,plain,
( ~ sQ22_spl
| ~ sQ42_spl
| p203(sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f467,f259]) ).
fof(f473,plain,
( ~ sQ25_spl
| ~ sQ42_spl
| p105(sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f467,f269]) ).
fof(f474,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| p104(sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f467,f272]) ).
fof(f475,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| p103(sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f467,f275]) ).
fof(f476,plain,
( ~ sQ28_spl
| ~ sQ42_spl
| p102(sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f467,f278]) ).
fof(f477,plain,
( ~ p301(sK51_skl)
| ~ p601(sK51_skl) ),
inference(resolution,[status(thm)],[f119,f131]) ).
fof(f478,plain,
( ~ sQ19_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f477,f200,f248]) ).
fof(f479,plain,
( ~ sQ42_spl
| ~ sQ16_spl
| p304(sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f240,f467]) ).
fof(f480,plain,
( ~ sQ41_spl
| ~ sQ16_spl
| p304(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f240,f434]) ).
fof(f481,plain,
( ~ sQ39_spl
| ~ sQ16_spl
| p304(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f240,f426]) ).
fof(f482,plain,
( ~ sQ37_spl
| ~ sQ16_spl
| p304(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f240,f405]) ).
fof(f489,plain,
( ~ p301(sK51_skl)
| ~ p501(sK51_skl) ),
inference(resolution,[status(thm)],[f120,f131]) ).
fof(f490,plain,
( ~ sQ19_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f489,f216,f248]) ).
fof(f491,plain,
( ~ p301(sK51_skl)
| ~ p401(sK51_skl) ),
inference(resolution,[status(thm)],[f121,f131]) ).
fof(f492,plain,
( ~ sQ19_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f491,f232,f248]) ).
fof(f493,plain,
( ~ p201(sK51_skl)
| ~ p601(sK51_skl) ),
inference(resolution,[status(thm)],[f122,f131]) ).
fof(f494,plain,
( ~ sQ24_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f493,f200,f264]) ).
fof(f495,plain,
( ~ p201(sK51_skl)
| ~ p501(sK51_skl) ),
inference(resolution,[status(thm)],[f123,f131]) ).
fof(f496,plain,
( ~ sQ24_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f495,f216,f264]) ).
fof(f497,plain,
( ~ p201(sK51_skl)
| ~ p401(sK51_skl) ),
inference(resolution,[status(thm)],[f124,f131]) ).
fof(f498,plain,
( ~ sQ24_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f497,f232,f264]) ).
fof(f499,plain,
( ~ p201(sK51_skl)
| ~ p301(sK51_skl) ),
inference(resolution,[status(thm)],[f125,f131]) ).
fof(f500,plain,
( ~ sQ24_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f499,f248,f264]) ).
fof(f501,plain,
( ~ sQ42_spl
| ~ sQ15_spl
| p305(sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f467]) ).
fof(f504,plain,
( ~ sQ37_spl
| ~ sQ15_spl
| p305(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f405]) ).
fof(f511,plain,
( ~ p101(sK51_skl)
| ~ p601(sK51_skl) ),
inference(resolution,[status(thm)],[f126,f131]) ).
fof(f512,plain,
( ~ sQ29_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f511,f200,f280]) ).
fof(f513,plain,
( r1(sK51_skl,sK14_skl(sK51_skl))
| ~ p505(sK51_skl) ),
inference(resolution,[status(thm)],[f37,f131]) ).
fof(f514,definition,
( sQ43_spl
<=> r1(sK51_skl,sK14_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ43_spl
| r1(sK51_skl,sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( sQ43_spl
| ~ r1(sK51_skl,sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( sQ43_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f513,f204,f514]) ).
fof(f518,plain,
( r1(sK51_skl,sK16_skl(sK51_skl))
| sP3_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f39,f131]) ).
fof(f519,definition,
( sQ44_spl
<=> sP3_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ44_spl
| sP3_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( sQ44_spl
| ~ sP3_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ45_spl
<=> r1(sK51_skl,sK16_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ45_spl
| r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f524,plain,
( sQ45_spl
| ~ r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f518,f519,f522]) ).
fof(f526,plain,
( ~ sQ15_spl
| ~ sQ43_spl
| p305(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f237]) ).
fof(f527,plain,
( ~ sQ22_spl
| ~ sQ43_spl
| p203(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f259]) ).
fof(f528,plain,
( ~ sQ25_spl
| ~ sQ43_spl
| p105(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f269]) ).
fof(f529,plain,
( ~ sQ26_spl
| ~ sQ43_spl
| p104(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f272]) ).
fof(f530,plain,
( ~ sQ27_spl
| ~ sQ43_spl
| p103(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f275]) ).
fof(f531,plain,
( ~ sQ28_spl
| ~ sQ43_spl
| p102(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f278]) ).
fof(f533,plain,
( ~ sQ22_spl
| ~ sQ45_spl
| p203(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f523,f259]) ).
fof(f534,plain,
( ~ sQ25_spl
| ~ sQ45_spl
| p105(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f523,f269]) ).
fof(f535,plain,
( ~ sQ26_spl
| ~ sQ45_spl
| p104(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f523,f272]) ).
fof(f536,plain,
( ~ sQ27_spl
| ~ sQ45_spl
| p103(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f523,f275]) ).
fof(f537,plain,
( ~ sQ28_spl
| ~ sQ45_spl
| p102(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f523,f278]) ).
fof(f538,plain,
( ~ p101(sK51_skl)
| ~ p501(sK51_skl) ),
inference(resolution,[status(thm)],[f127,f131]) ).
fof(f539,plain,
( ~ sQ29_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f538,f216,f280]) ).
fof(f540,plain,
( ~ p101(sK51_skl)
| ~ p401(sK51_skl) ),
inference(resolution,[status(thm)],[f128,f131]) ).
fof(f541,plain,
( ~ sQ29_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f540,f232,f280]) ).
fof(f542,plain,
( ~ p101(sK51_skl)
| ~ p301(sK51_skl) ),
inference(resolution,[status(thm)],[f129,f131]) ).
fof(f543,plain,
( ~ sQ29_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f542,f248,f280]) ).
fof(f544,plain,
( ~ p101(sK51_skl)
| ~ p201(sK51_skl) ),
inference(resolution,[status(thm)],[f130,f131]) ).
fof(f545,plain,
( ~ sQ29_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f544,f264,f280]) ).
fof(f546,plain,
( r1(sK51_skl,sK18_skl(sK51_skl))
| sP4_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f41,f131]) ).
fof(f547,definition,
( sQ46_spl
<=> sP4_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ46_spl
| sP4_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f549,plain,
( sQ46_spl
| ~ sP4_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ47_spl
<=> r1(sK51_skl,sK18_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ47_spl
| r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ47_spl
| ~ r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( sQ47_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f546,f547,f550]) ).
fof(f555,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| p203(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f551,f259]) ).
fof(f556,plain,
( ~ sQ25_spl
| ~ sQ47_spl
| p105(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f551,f269]) ).
fof(f557,plain,
( ~ sQ26_spl
| ~ sQ47_spl
| p104(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f551,f272]) ).
fof(f558,plain,
( ~ sQ27_spl
| ~ sQ47_spl
| p103(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f551,f275]) ).
fof(f559,plain,
( ~ sQ28_spl
| ~ sQ47_spl
| p102(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f551,f278]) ).
fof(f560,plain,
( r1(sK51_skl,sK20_skl(sK51_skl))
| sP5_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f43,f131]) ).
fof(f561,definition,
( sQ48_spl
<=> sP5_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ48_spl
| sP5_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( sQ48_spl
| ~ sP5_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ49_spl
<=> r1(sK51_skl,sK20_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ49_spl
| r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( sQ49_spl
| ~ r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f560,f561,f564]) ).
fof(f568,plain,
( r1(sK51_skl,sK21_skl(sK51_skl))
| ~ p604(sK51_skl) ),
inference(resolution,[status(thm)],[f48,f131]) ).
fof(f569,definition,
( sQ50_spl
<=> r1(sK51_skl,sK21_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ50_spl
| r1(sK51_skl,sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f571,plain,
( sQ50_spl
| ~ r1(sK51_skl,sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f568,f191,f569]) ).
fof(f574,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| p203(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f259]) ).
fof(f575,plain,
( ~ sQ25_spl
| ~ sQ49_spl
| p105(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f269]) ).
fof(f576,plain,
( ~ sQ26_spl
| ~ sQ49_spl
| p104(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f272]) ).
fof(f577,plain,
( ~ sQ27_spl
| ~ sQ49_spl
| p103(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f275]) ).
fof(f578,plain,
( ~ sQ28_spl
| ~ sQ49_spl
| p102(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f278]) ).
fof(f579,plain,
( r1(sK51_skl,sK22_skl(sK51_skl))
| ~ p504(sK51_skl) ),
inference(resolution,[status(thm)],[f50,f131]) ).
fof(f580,definition,
( sQ51_spl
<=> r1(sK51_skl,sK22_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ51_spl
| r1(sK51_skl,sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f582,plain,
( sQ51_spl
| ~ r1(sK51_skl,sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( sQ51_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f579,f207,f580]) ).
fof(f584,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| p305(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f237]) ).
fof(f585,plain,
( ~ sQ22_spl
| ~ sQ50_spl
| p203(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f259]) ).
fof(f586,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| p105(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f269]) ).
fof(f587,plain,
( ~ sQ26_spl
| ~ sQ50_spl
| p104(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f272]) ).
fof(f588,plain,
( ~ sQ27_spl
| ~ sQ50_spl
| p103(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f275]) ).
fof(f589,plain,
( ~ sQ28_spl
| ~ sQ50_spl
| p102(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f278]) ).
fof(f590,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| p305(sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f581,f237]) ).
fof(f591,plain,
( ~ sQ22_spl
| ~ sQ51_spl
| p203(sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f581,f259]) ).
fof(f592,plain,
( ~ sQ25_spl
| ~ sQ51_spl
| p105(sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f581,f269]) ).
fof(f593,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| p104(sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f581,f272]) ).
fof(f594,plain,
( ~ sQ27_spl
| ~ sQ51_spl
| p103(sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f581,f275]) ).
fof(f595,plain,
( ~ sQ28_spl
| ~ sQ51_spl
| p102(sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f581,f278]) ).
fof(f596,plain,
( r1(sK51_skl,sK23_skl(sK51_skl))
| p404(sK51_skl) ),
inference(resolution,[status(thm)],[f52,f131]) ).
fof(f597,definition,
( sQ52_spl
<=> r1(sK51_skl,sK23_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ52_spl
| r1(sK51_skl,sK23_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( sQ52_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f596,f223,f597]) ).
fof(f601,plain,
( ~ sQ15_spl
| ~ sQ52_spl
| p305(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f598,f237]) ).
fof(f602,plain,
( ~ sQ22_spl
| ~ sQ52_spl
| p203(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f598,f259]) ).
fof(f603,plain,
( ~ sQ25_spl
| ~ sQ52_spl
| p105(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f598,f269]) ).
fof(f604,plain,
( ~ sQ26_spl
| ~ sQ52_spl
| p104(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f598,f272]) ).
fof(f605,plain,
( ~ sQ27_spl
| ~ sQ52_spl
| p103(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f598,f275]) ).
fof(f606,plain,
( ~ sQ28_spl
| ~ sQ52_spl
| p102(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f598,f278]) ).
fof(f607,plain,
( r1(sK51_skl,sK24_skl(sK51_skl))
| ~ p604(sK51_skl) ),
inference(resolution,[status(thm)],[f54,f131]) ).
fof(f608,definition,
( sQ53_spl
<=> r1(sK51_skl,sK24_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ53_spl
| r1(sK51_skl,sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f610,plain,
( sQ53_spl
| ~ r1(sK51_skl,sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( sQ53_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f607,f191,f608]) ).
fof(f612,plain,
( r1(sK51_skl,sK25_skl(sK51_skl))
| ~ p504(sK51_skl) ),
inference(resolution,[status(thm)],[f56,f131]) ).
fof(f613,definition,
( sQ54_spl
<=> r1(sK51_skl,sK25_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ54_spl
| r1(sK51_skl,sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f615,plain,
( sQ54_spl
| ~ r1(sK51_skl,sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,plain,
( sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f612,f207,f613]) ).
fof(f617,plain,
( ~ sQ15_spl
| ~ sQ53_spl
| p305(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f237]) ).
fof(f618,plain,
( ~ sQ22_spl
| ~ sQ53_spl
| p203(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f259]) ).
fof(f619,plain,
( ~ sQ25_spl
| ~ sQ53_spl
| p105(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f269]) ).
fof(f620,plain,
( ~ sQ26_spl
| ~ sQ53_spl
| p104(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f272]) ).
fof(f621,plain,
( ~ sQ27_spl
| ~ sQ53_spl
| p103(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f275]) ).
fof(f622,plain,
( ~ sQ28_spl
| ~ sQ53_spl
| p102(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f278]) ).
fof(f623,plain,
( ~ sQ15_spl
| ~ sQ54_spl
| p305(sK25_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f614,f237]) ).
fof(f624,plain,
( ~ sQ22_spl
| ~ sQ54_spl
| p203(sK25_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f614,f259]) ).
fof(f625,plain,
( ~ sQ25_spl
| ~ sQ54_spl
| p105(sK25_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f614,f269]) ).
fof(f626,plain,
( ~ sQ26_spl
| ~ sQ54_spl
| p104(sK25_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f614,f272]) ).
fof(f627,plain,
( ~ sQ27_spl
| ~ sQ54_spl
| p103(sK25_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f614,f275]) ).
fof(f628,plain,
( ~ sQ28_spl
| ~ sQ54_spl
| p102(sK25_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f614,f278]) ).
fof(f629,plain,
( r1(sK51_skl,sK26_skl(sK51_skl))
| p404(sK51_skl) ),
inference(resolution,[status(thm)],[f58,f131]) ).
fof(f630,definition,
( sQ55_spl
<=> r1(sK51_skl,sK26_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ55_spl
| r1(sK51_skl,sK26_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( sQ55_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f629,f223,f630]) ).
fof(f634,plain,
( ~ sQ15_spl
| ~ sQ55_spl
| p305(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f631,f237]) ).
fof(f635,plain,
( ~ sQ22_spl
| ~ sQ55_spl
| p203(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f631,f259]) ).
fof(f636,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| p105(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f631,f269]) ).
fof(f637,plain,
( ~ sQ26_spl
| ~ sQ55_spl
| p104(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f631,f272]) ).
fof(f638,plain,
( ~ sQ27_spl
| ~ sQ55_spl
| p103(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f631,f275]) ).
fof(f639,plain,
( ~ sQ28_spl
| ~ sQ55_spl
| p102(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f631,f278]) ).
fof(f640,plain,
( r1(sK51_skl,sK29_skl(sK51_skl))
| ~ p604(sK51_skl) ),
inference(resolution,[status(thm)],[f62,f131]) ).
fof(f641,definition,
( sQ56_spl
<=> r1(sK51_skl,sK29_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ56_spl
| r1(sK51_skl,sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f643,plain,
( sQ56_spl
| ~ r1(sK51_skl,sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( sQ56_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f640,f191,f641]) ).
fof(f645,plain,
( ~ sQ15_spl
| ~ sQ56_spl
| p305(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f237]) ).
fof(f646,plain,
( ~ sQ22_spl
| ~ sQ56_spl
| p203(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f259]) ).
fof(f647,plain,
( ~ sQ25_spl
| ~ sQ56_spl
| p105(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f269]) ).
fof(f648,plain,
( ~ sQ26_spl
| ~ sQ56_spl
| p104(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f272]) ).
fof(f649,plain,
( ~ sQ27_spl
| ~ sQ56_spl
| p103(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f275]) ).
fof(f650,plain,
( ~ sQ28_spl
| ~ sQ56_spl
| p102(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f278]) ).
fof(f651,plain,
( r1(sK51_skl,sK30_skl(sK51_skl))
| ~ p504(sK51_skl) ),
inference(resolution,[status(thm)],[f64,f131]) ).
fof(f652,definition,
( sQ57_spl
<=> r1(sK51_skl,sK30_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ57_spl
| r1(sK51_skl,sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f654,plain,
( sQ57_spl
| ~ r1(sK51_skl,sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,plain,
( sQ57_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f651,f207,f652]) ).
fof(f656,plain,
( ~ sQ15_spl
| ~ sQ57_spl
| p305(sK30_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f653,f237]) ).
fof(f657,plain,
( ~ sQ22_spl
| ~ sQ57_spl
| p203(sK30_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f653,f259]) ).
fof(f658,plain,
( ~ sQ25_spl
| ~ sQ57_spl
| p105(sK30_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f653,f269]) ).
fof(f659,plain,
( ~ sQ26_spl
| ~ sQ57_spl
| p104(sK30_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f653,f272]) ).
fof(f660,plain,
( ~ sQ27_spl
| ~ sQ57_spl
| p103(sK30_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f653,f275]) ).
fof(f661,plain,
( ~ sQ28_spl
| ~ sQ57_spl
| p102(sK30_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f653,f278]) ).
fof(f662,plain,
( r1(sK51_skl,sK31_skl(sK51_skl))
| p404(sK51_skl) ),
inference(resolution,[status(thm)],[f66,f131]) ).
fof(f663,definition,
( sQ58_spl
<=> r1(sK51_skl,sK31_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ58_spl
| r1(sK51_skl,sK31_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( sQ58_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f662,f223,f663]) ).
fof(f667,plain,
( ~ sQ15_spl
| ~ sQ58_spl
| p305(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f664,f237]) ).
fof(f668,plain,
( ~ sQ22_spl
| ~ sQ58_spl
| p203(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f664,f259]) ).
fof(f669,plain,
( ~ sQ25_spl
| ~ sQ58_spl
| p105(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f664,f269]) ).
fof(f670,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| p104(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f664,f272]) ).
fof(f671,plain,
( ~ sQ27_spl
| ~ sQ58_spl
| p103(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f664,f275]) ).
fof(f672,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| p102(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f664,f278]) ).
fof(f673,plain,
( r1(sK51_skl,sK36_skl(sK51_skl))
| ~ p603(sK51_skl) ),
inference(resolution,[status(thm)],[f78,f131]) ).
fof(f674,definition,
( sQ59_spl
<=> r1(sK51_skl,sK36_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ59_spl
| r1(sK51_skl,sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f676,plain,
( sQ59_spl
| ~ r1(sK51_skl,sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( sQ59_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f673,f194,f674]) ).
fof(f678,plain,
( r1(sK51_skl,sK28_skl(sK51_skl))
| sP6_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f60,f131]) ).
fof(f679,definition,
( sQ60_spl
<=> sP6_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ60_spl
| sP6_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( sQ60_spl
| ~ sP6_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,definition,
( sQ61_spl
<=> r1(sK51_skl,sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ61_spl
| r1(sK51_skl,sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( sQ61_spl
| ~ r1(sK51_skl,sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,plain,
( sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f678,f679,f682]) ).
fof(f686,plain,
( r1(sK51_skl,sK33_skl(sK51_skl))
| sP7_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f68,f131]) ).
fof(f687,definition,
( sQ62_spl
<=> sP7_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ62_spl
| sP7_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f689,plain,
( sQ62_spl
| ~ sP7_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ63_spl
<=> r1(sK51_skl,sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ63_spl
| r1(sK51_skl,sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( sQ63_spl
| ~ r1(sK51_skl,sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( sQ63_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f686,f687,f690]) ).
fof(f695,plain,
( ~ sQ22_spl
| ~ sQ59_spl
| p203(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f259]) ).
fof(f696,plain,
( ~ sQ25_spl
| ~ sQ59_spl
| p105(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f269]) ).
fof(f697,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| p104(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f272]) ).
fof(f698,plain,
( ~ sQ27_spl
| ~ sQ59_spl
| p103(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f275]) ).
fof(f699,plain,
( ~ sQ28_spl
| ~ sQ59_spl
| p102(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f278]) ).
fof(f701,plain,
( ~ sQ22_spl
| ~ sQ61_spl
| p203(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f259]) ).
fof(f702,plain,
( ~ sQ25_spl
| ~ sQ61_spl
| p105(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f269]) ).
fof(f703,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| p104(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f272]) ).
fof(f704,plain,
( ~ sQ27_spl
| ~ sQ61_spl
| p103(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f275]) ).
fof(f705,plain,
( ~ sQ28_spl
| ~ sQ61_spl
| p102(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f278]) ).
fof(f707,plain,
( ~ sQ22_spl
| ~ sQ63_spl
| p203(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f691,f259]) ).
fof(f708,plain,
( ~ sQ25_spl
| ~ sQ63_spl
| p105(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f691,f269]) ).
fof(f709,plain,
( ~ sQ26_spl
| ~ sQ63_spl
| p104(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f691,f272]) ).
fof(f710,plain,
( ~ sQ27_spl
| ~ sQ63_spl
| p103(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f691,f275]) ).
fof(f711,plain,
( ~ sQ28_spl
| ~ sQ63_spl
| p102(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f691,f278]) ).
fof(f712,plain,
( r1(sK51_skl,sK37_skl(sK51_skl))
| ~ p503(sK51_skl) ),
inference(resolution,[status(thm)],[f80,f131]) ).
fof(f713,definition,
( sQ64_spl
<=> r1(sK51_skl,sK37_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ64_spl
| r1(sK51_skl,sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f715,plain,
( sQ64_spl
| ~ r1(sK51_skl,sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( sQ64_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f712,f210,f713]) ).
fof(f717,plain,
( ~ sQ15_spl
| ~ sQ64_spl
| p305(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f237]) ).
fof(f718,plain,
( ~ sQ22_spl
| ~ sQ64_spl
| p203(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f259]) ).
fof(f719,plain,
( ~ sQ25_spl
| ~ sQ64_spl
| p105(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f269]) ).
fof(f720,plain,
( ~ sQ26_spl
| ~ sQ64_spl
| p104(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f272]) ).
fof(f721,plain,
( ~ sQ27_spl
| ~ sQ64_spl
| p103(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f275]) ).
fof(f722,plain,
( ~ sQ28_spl
| ~ sQ64_spl
| p102(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f278]) ).
fof(f723,plain,
( r1(sK51_skl,sK38_skl(sK51_skl))
| ~ p403(sK51_skl) ),
inference(resolution,[status(thm)],[f82,f131]) ).
fof(f724,definition,
( sQ65_spl
<=> r1(sK51_skl,sK38_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ65_spl
| r1(sK51_skl,sK38_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( sQ65_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f723,f226,f724]) ).
fof(f728,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| p305(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f725,f237]) ).
fof(f729,plain,
( ~ sQ22_spl
| ~ sQ65_spl
| p203(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f725,f259]) ).
fof(f730,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| p105(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f725,f269]) ).
fof(f731,plain,
( ~ sQ26_spl
| ~ sQ65_spl
| p104(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f725,f272]) ).
fof(f732,plain,
( ~ sQ27_spl
| ~ sQ65_spl
| p103(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f725,f275]) ).
fof(f733,plain,
( ~ sQ28_spl
| ~ sQ65_spl
| p102(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f725,f278]) ).
fof(f734,plain,
( r1(sK51_skl,sK39_skl(sK51_skl))
| ~ p303(sK51_skl) ),
inference(resolution,[status(thm)],[f84,f131]) ).
fof(f735,definition,
( sQ66_spl
<=> r1(sK51_skl,sK39_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ66_spl
| r1(sK51_skl,sK39_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( sQ66_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f734,f242,f735]) ).
fof(f739,plain,
( ~ sQ15_spl
| ~ sQ66_spl
| p305(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f736,f237]) ).
fof(f740,plain,
( ~ sQ22_spl
| ~ sQ66_spl
| p203(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f736,f259]) ).
fof(f741,plain,
( ~ sQ25_spl
| ~ sQ66_spl
| p105(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f736,f269]) ).
fof(f742,plain,
( ~ sQ26_spl
| ~ sQ66_spl
| p104(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f736,f272]) ).
fof(f743,plain,
( ~ sQ27_spl
| ~ sQ66_spl
| p103(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f736,f275]) ).
fof(f744,plain,
( ~ sQ28_spl
| ~ sQ66_spl
| p102(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f736,f278]) ).
fof(f745,plain,
( r1(sK51_skl,sK40_skl(sK51_skl))
| ~ p603(sK51_skl) ),
inference(resolution,[status(thm)],[f86,f131]) ).
fof(f746,definition,
( sQ67_spl
<=> r1(sK51_skl,sK40_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ67_spl
| r1(sK51_skl,sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( sQ67_spl
| ~ r1(sK51_skl,sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( sQ67_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f745,f194,f746]) ).
fof(f751,plain,
( ~ sQ22_spl
| ~ sQ67_spl
| p203(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f747,f259]) ).
fof(f752,plain,
( ~ sQ25_spl
| ~ sQ67_spl
| p105(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f747,f269]) ).
fof(f753,plain,
( ~ sQ26_spl
| ~ sQ67_spl
| p104(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f747,f272]) ).
fof(f754,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| p103(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f747,f275]) ).
fof(f755,plain,
( ~ sQ28_spl
| ~ sQ67_spl
| p102(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f747,f278]) ).
fof(f756,plain,
( r1(sK51_skl,sK35_skl(sK51_skl))
| sP8_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f70,f131]) ).
fof(f757,definition,
( sQ68_spl
<=> sP8_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ68_spl
| sP8_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( sQ68_spl
| ~ sP8_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
( sQ69_spl
<=> r1(sK51_skl,sK35_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ69_spl
| r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f762,plain,
( sQ69_spl
| ~ r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,plain,
( sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f756,f757,f760]) ).
fof(f765,plain,
( ~ sQ22_spl
| ~ sQ69_spl
| p203(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f761,f259]) ).
fof(f766,plain,
( ~ sQ25_spl
| ~ sQ69_spl
| p105(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f761,f269]) ).
fof(f767,plain,
( ~ sQ26_spl
| ~ sQ69_spl
| p104(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f761,f272]) ).
fof(f768,plain,
( ~ sQ27_spl
| ~ sQ69_spl
| p103(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f761,f275]) ).
fof(f769,plain,
( ~ sQ28_spl
| ~ sQ69_spl
| p102(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f761,f278]) ).
fof(f770,plain,
( r1(sK51_skl,sK41_skl(sK51_skl))
| ~ p503(sK51_skl) ),
inference(resolution,[status(thm)],[f88,f131]) ).
fof(f771,definition,
( sQ70_spl
<=> r1(sK51_skl,sK41_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ70_spl
| r1(sK51_skl,sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f773,plain,
( sQ70_spl
| ~ r1(sK51_skl,sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( sQ70_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f770,f210,f771]) ).
fof(f775,plain,
( ~ sQ15_spl
| ~ sQ70_spl
| p305(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f237]) ).
fof(f776,plain,
( ~ sQ22_spl
| ~ sQ70_spl
| p203(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f259]) ).
fof(f777,plain,
( ~ sQ25_spl
| ~ sQ70_spl
| p105(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f269]) ).
fof(f778,plain,
( ~ sQ26_spl
| ~ sQ70_spl
| p104(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f272]) ).
fof(f779,plain,
( ~ sQ27_spl
| ~ sQ70_spl
| p103(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f275]) ).
fof(f780,plain,
( ~ sQ28_spl
| ~ sQ70_spl
| p102(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f278]) ).
fof(f781,plain,
( r1(sK51_skl,sK42_skl(sK51_skl))
| ~ p403(sK51_skl) ),
inference(resolution,[status(thm)],[f90,f131]) ).
fof(f782,definition,
( sQ71_spl
<=> r1(sK51_skl,sK42_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ71_spl
| r1(sK51_skl,sK42_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,plain,
( sQ71_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f781,f226,f782]) ).
fof(f786,plain,
( ~ sQ15_spl
| ~ sQ71_spl
| p305(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f783,f237]) ).
fof(f787,plain,
( ~ sQ22_spl
| ~ sQ71_spl
| p203(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f783,f259]) ).
fof(f788,plain,
( ~ sQ25_spl
| ~ sQ71_spl
| p105(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f783,f269]) ).
fof(f789,plain,
( ~ sQ26_spl
| ~ sQ71_spl
| p104(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f783,f272]) ).
fof(f790,plain,
( ~ sQ27_spl
| ~ sQ71_spl
| p103(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f783,f275]) ).
fof(f791,plain,
( ~ sQ28_spl
| ~ sQ71_spl
| p102(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f783,f278]) ).
fof(f792,plain,
( r1(sK51_skl,sK43_skl(sK51_skl))
| ~ p303(sK51_skl) ),
inference(resolution,[status(thm)],[f92,f131]) ).
fof(f793,definition,
( sQ72_spl
<=> r1(sK51_skl,sK43_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( ~ sQ72_spl
| r1(sK51_skl,sK43_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( sQ72_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f792,f242,f793]) ).
fof(f797,plain,
( ~ sQ15_spl
| ~ sQ72_spl
| p305(sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f794,f237]) ).
fof(f798,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| p203(sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f794,f259]) ).
fof(f799,plain,
( ~ sQ25_spl
| ~ sQ72_spl
| p105(sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f794,f269]) ).
fof(f800,plain,
( ~ sQ26_spl
| ~ sQ72_spl
| p104(sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f794,f272]) ).
fof(f801,plain,
( ~ sQ27_spl
| ~ sQ72_spl
| p103(sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f794,f275]) ).
fof(f802,plain,
( ~ sQ28_spl
| ~ sQ72_spl
| p102(sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f794,f278]) ).
fof(f803,plain,
( r1(sK51_skl,sK46_skl(sK51_skl))
| ~ p602(sK51_skl) ),
inference(resolution,[status(thm)],[f106,f131]) ).
fof(f804,definition,
( sQ73_spl
<=> r1(sK51_skl,sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ73_spl
| r1(sK51_skl,sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f806,plain,
( sQ73_spl
| ~ r1(sK51_skl,sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( sQ73_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f803,f197,f804]) ).
fof(f808,plain,
( ~ sQ15_spl
| ~ sQ73_spl
| p305(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f237]) ).
fof(f809,plain,
( ~ sQ22_spl
| ~ sQ73_spl
| p203(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f259]) ).
fof(f810,plain,
( ~ sQ25_spl
| ~ sQ73_spl
| p105(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f269]) ).
fof(f811,plain,
( ~ sQ26_spl
| ~ sQ73_spl
| p104(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f272]) ).
fof(f812,plain,
( ~ sQ27_spl
| ~ sQ73_spl
| p103(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f275]) ).
fof(f813,plain,
( ~ sQ28_spl
| ~ sQ73_spl
| p102(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f278]) ).
fof(f814,plain,
( r1(sK51_skl,sK47_skl(sK51_skl))
| ~ p502(sK51_skl) ),
inference(resolution,[status(thm)],[f108,f131]) ).
fof(f815,definition,
( sQ74_spl
<=> r1(sK51_skl,sK47_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ74_spl
| r1(sK51_skl,sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f817,plain,
( sQ74_spl
| ~ r1(sK51_skl,sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,plain,
( sQ74_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f814,f213,f815]) ).
fof(f820,plain,
( ~ sQ22_spl
| ~ sQ74_spl
| p203(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f816,f259]) ).
fof(f821,plain,
( ~ sQ25_spl
| ~ sQ74_spl
| p105(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f816,f269]) ).
fof(f822,plain,
( ~ sQ26_spl
| ~ sQ74_spl
| p104(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f816,f272]) ).
fof(f823,plain,
( ~ sQ27_spl
| ~ sQ74_spl
| p103(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f816,f275]) ).
fof(f824,plain,
( ~ sQ28_spl
| ~ sQ74_spl
| p102(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f816,f278]) ).
fof(f825,plain,
( r1(sK51_skl,sK48_skl(sK51_skl))
| ~ p402(sK51_skl) ),
inference(resolution,[status(thm)],[f110,f131]) ).
fof(f826,definition,
( sQ75_spl
<=> r1(sK51_skl,sK48_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ75_spl
| r1(sK51_skl,sK48_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,plain,
( sQ75_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f825,f229,f826]) ).
fof(f830,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| p305(sK48_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f827,f237]) ).
fof(f831,plain,
( ~ sQ22_spl
| ~ sQ75_spl
| p203(sK48_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f827,f259]) ).
fof(f832,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| p105(sK48_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f827,f269]) ).
fof(f833,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| p104(sK48_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f827,f272]) ).
fof(f834,plain,
( ~ sQ27_spl
| ~ sQ75_spl
| p103(sK48_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f827,f275]) ).
fof(f835,plain,
( ~ sQ28_spl
| ~ sQ75_spl
| p102(sK48_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f827,f278]) ).
fof(f836,plain,
( r1(sK51_skl,sK45_skl(sK51_skl))
| sP9_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f94,f131]) ).
fof(f837,definition,
( sQ76_spl
<=> sP9_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ76_spl
| sP9_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f839,plain,
( sQ76_spl
| ~ sP9_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ77_spl
<=> r1(sK51_skl,sK45_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ77_spl
| r1(sK51_skl,sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f842,plain,
( sQ77_spl
| ~ r1(sK51_skl,sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f836,f837,f840]) ).
fof(f844,plain,
( r1(sK51_skl,sK49_skl(sK51_skl))
| ~ p302(sK51_skl) ),
inference(resolution,[status(thm)],[f112,f131]) ).
fof(f845,definition,
( sQ78_spl
<=> r1(sK51_skl,sK49_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ78_spl
| r1(sK51_skl,sK49_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,plain,
( sQ78_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f844,f245,f845]) ).
fof(f850,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| p203(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f841,f259]) ).
fof(f851,plain,
( ~ sQ25_spl
| ~ sQ77_spl
| p105(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f841,f269]) ).
fof(f852,plain,
( ~ sQ26_spl
| ~ sQ77_spl
| p104(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f841,f272]) ).
fof(f853,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| p103(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f841,f275]) ).
fof(f854,plain,
( ~ sQ28_spl
| ~ sQ77_spl
| p102(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f841,f278]) ).
fof(f855,plain,
( ~ sQ15_spl
| ~ sQ78_spl
| p305(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f846,f237]) ).
fof(f856,plain,
( ~ sQ22_spl
| ~ sQ78_spl
| p203(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f846,f259]) ).
fof(f857,plain,
( ~ sQ25_spl
| ~ sQ78_spl
| p105(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f846,f269]) ).
fof(f858,plain,
( ~ sQ26_spl
| ~ sQ78_spl
| p104(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f846,f272]) ).
fof(f859,plain,
( ~ sQ27_spl
| ~ sQ78_spl
| p103(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f846,f275]) ).
fof(f860,plain,
( ~ sQ28_spl
| ~ sQ78_spl
| p102(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f846,f278]) ).
fof(f861,plain,
( r1(sK51_skl,sK50_skl(sK51_skl))
| ~ p202(sK51_skl) ),
inference(resolution,[status(thm)],[f114,f131]) ).
fof(f862,definition,
( sQ79_spl
<=> r1(sK51_skl,sK50_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ79_spl
| r1(sK51_skl,sK50_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( sQ79_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f861,f261,f862]) ).
fof(f866,plain,
( ~ sQ15_spl
| ~ sQ79_spl
| p305(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f863,f237]) ).
fof(f867,plain,
( ~ sQ22_spl
| ~ sQ79_spl
| p203(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f863,f259]) ).
fof(f868,plain,
( ~ sQ25_spl
| ~ sQ79_spl
| p105(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f863,f269]) ).
fof(f869,plain,
( ~ sQ26_spl
| ~ sQ79_spl
| p104(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f863,f272]) ).
fof(f870,plain,
( ~ sQ27_spl
| ~ sQ79_spl
| p103(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f863,f275]) ).
fof(f871,plain,
( ~ sQ28_spl
| ~ sQ79_spl
| p102(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f863,f278]) ).
fof(f872,plain,
( ~ sQ79_spl
| p405(sK50_skl(sK51_skl))
| sP0_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f863]) ).
fof(f873,plain,
( ~ sQ78_spl
| p405(sK49_skl(sK51_skl))
| sP0_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f846]) ).
fof(f874,plain,
( ~ sQ77_spl
| p405(sK45_skl(sK51_skl))
| sP0_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f841]) ).
fof(f875,plain,
( ~ sQ75_spl
| p405(sK48_skl(sK51_skl))
| sP0_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f827]) ).
fof(f876,plain,
( ~ sQ74_spl
| p405(sK47_skl(sK51_skl))
| sP0_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f816]) ).
fof(f877,plain,
( ~ sQ73_spl
| p405(sK46_skl(sK51_skl))
| sP0_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f805]) ).
fof(f878,plain,
( ~ sQ72_spl
| p405(sK43_skl(sK51_skl))
| sP0_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f794]) ).
fof(f879,plain,
( ~ sQ71_spl
| p405(sK42_skl(sK51_skl))
| sP0_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f783]) ).
fof(f880,plain,
( ~ sQ70_spl
| p405(sK41_skl(sK51_skl))
| sP0_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f772]) ).
fof(f881,plain,
( ~ sQ69_spl
| p405(sK35_skl(sK51_skl))
| sP0_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f761]) ).
fof(f882,plain,
( ~ sQ67_spl
| p405(sK40_skl(sK51_skl))
| sP0_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f747]) ).
fof(f883,plain,
( ~ sQ66_spl
| p405(sK39_skl(sK51_skl))
| sP0_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f736]) ).
fof(f884,plain,
( ~ sQ65_spl
| p405(sK38_skl(sK51_skl))
| sP0_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f725]) ).
fof(f885,plain,
( ~ sQ64_spl
| p405(sK37_skl(sK51_skl))
| sP0_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f714]) ).
fof(f886,plain,
( ~ sQ63_spl
| p405(sK33_skl(sK51_skl))
| sP0_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f691]) ).
fof(f887,plain,
( ~ sQ61_spl
| p405(sK28_skl(sK51_skl))
| sP0_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f683]) ).
fof(f888,plain,
( ~ sQ59_spl
| p405(sK36_skl(sK51_skl))
| sP0_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f675]) ).
fof(f889,plain,
( ~ sQ58_spl
| p405(sK31_skl(sK51_skl))
| sP0_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f664]) ).
fof(f890,plain,
( ~ sQ57_spl
| p405(sK30_skl(sK51_skl))
| sP0_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f653]) ).
fof(f891,plain,
( ~ sQ56_spl
| p405(sK29_skl(sK51_skl))
| sP0_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f642]) ).
fof(f892,plain,
( ~ sQ55_spl
| p405(sK26_skl(sK51_skl))
| sP0_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f631]) ).
fof(f893,plain,
( ~ sQ54_spl
| p405(sK25_skl(sK51_skl))
| sP0_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f614]) ).
fof(f894,plain,
( ~ sQ53_spl
| p405(sK24_skl(sK51_skl))
| sP0_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f609]) ).
fof(f895,plain,
( ~ sQ52_spl
| p405(sK23_skl(sK51_skl))
| sP0_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f598]) ).
fof(f896,plain,
( ~ sQ51_spl
| p405(sK22_skl(sK51_skl))
| sP0_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f581]) ).
fof(f897,plain,
( ~ sQ50_spl
| p405(sK21_skl(sK51_skl))
| sP0_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f570]) ).
fof(f898,plain,
( ~ sQ49_spl
| p405(sK20_skl(sK51_skl))
| sP0_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f565]) ).
fof(f899,plain,
( ~ sQ47_spl
| p405(sK18_skl(sK51_skl))
| sP0_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f551]) ).
fof(f900,plain,
( ~ sQ45_spl
| p405(sK16_skl(sK51_skl))
| sP0_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f523]) ).
fof(f901,plain,
( ~ sQ43_spl
| p405(sK14_skl(sK51_skl))
| sP0_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f515]) ).
fof(f902,plain,
( ~ sQ42_spl
| p405(sK13_skl(sK51_skl))
| sP0_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f467]) ).
fof(f903,plain,
( ~ sQ41_spl
| p405(sK12_skl(sK51_skl))
| sP0_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f434]) ).
fof(f904,plain,
( ~ sQ39_spl
| p405(sK10_skl(sK51_skl))
| sP0_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f426]) ).
fof(f905,plain,
( ~ sQ37_spl
| p405(sK8_skl(sK51_skl))
| sP0_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f405]) ).
fof(f906,plain,
( ~ sQ36_spl
| p405(sK7_skl(sK51_skl))
| sP0_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f364]) ).
fof(f907,plain,
( ~ sQ35_spl
| p405(sK6_skl(sK51_skl))
| sP0_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f359]) ).
fof(f908,plain,
( ~ sQ33_spl
| p405(sK4_skl(sK51_skl))
| sP0_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f303]) ).
fof(f909,plain,
( ~ sQ32_spl
| p405(sK3_skl(sK51_skl))
| sP0_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f298]) ).
fof(f910,plain,
( ~ sQ31_spl
| p405(sK2_skl(sK51_skl))
| sP0_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f293]) ).
fof(f911,plain,
( ~ sQ30_spl
| p405(sK1_skl(sK51_skl))
| sP0_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f142,f287]) ).
fof(f912,plain,
( p405(sK51_skl)
| sP0_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f142,f131]) ).
fof(f913,definition,
( sQ80_spl
<=> sP0_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ80_spl
| sP0_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f915,plain,
( sQ80_spl
| ~ sP0_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ81_spl
<=> p405(sK50_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ81_spl
| p405(sK50_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f918,plain,
( sQ81_spl
| ~ p405(sK50_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,plain,
( ~ sQ79_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f872,f913,f916,f862]) ).
fof(f920,definition,
( sQ82_spl
<=> sP0_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( ~ sQ82_spl
| sP0_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f922,plain,
( sQ82_spl
| ~ sP0_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,definition,
( sQ83_spl
<=> p405(sK49_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ83_spl
| p405(sK49_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f925,plain,
( sQ83_spl
| ~ p405(sK49_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( ~ sQ78_spl
| sQ83_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f873,f920,f923,f845]) ).
fof(f927,definition,
( sQ84_spl
<=> sP0_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ84_spl
| sP0_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f929,plain,
( sQ84_spl
| ~ sP0_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,definition,
( sQ85_spl
<=> p405(sK45_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ85_spl
| p405(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f932,plain,
( sQ85_spl
| ~ p405(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,plain,
( ~ sQ77_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f874,f927,f930,f840]) ).
fof(f934,definition,
( sQ86_spl
<=> sP0_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ86_spl
| sP0_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f936,plain,
( sQ86_spl
| ~ sP0_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,definition,
( sQ87_spl
<=> p405(sK48_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( ~ sQ87_spl
| p405(sK48_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f939,plain,
( sQ87_spl
| ~ p405(sK48_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( ~ sQ75_spl
| sQ87_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f875,f934,f937,f826]) ).
fof(f941,definition,
( sQ88_spl
<=> sP0_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f942,plain,
( ~ sQ88_spl
| sP0_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f943,plain,
( sQ88_spl
| ~ sP0_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,definition,
( sQ89_spl
<=> p405(sK47_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( ~ sQ89_spl
| p405(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f946,plain,
( sQ89_spl
| ~ p405(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,plain,
( ~ sQ74_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f876,f941,f944,f815]) ).
fof(f948,definition,
( sQ90_spl
<=> sP0_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ90_spl
| sP0_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ91_spl
<=> p405(sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ91_spl
| p405(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f953,plain,
( sQ91_spl
| ~ p405(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,plain,
( ~ sQ73_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f877,f948,f951,f804]) ).
fof(f955,definition,
( sQ92_spl
<=> sP0_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( ~ sQ92_spl
| sP0_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f957,plain,
( sQ92_spl
| ~ sP0_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,definition,
( sQ93_spl
<=> p405(sK43_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ93_spl
| p405(sK43_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f960,plain,
( sQ93_spl
| ~ p405(sK43_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( ~ sQ72_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f878,f955,f958,f793]) ).
fof(f962,definition,
( sQ94_spl
<=> sP0_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ94_spl
| sP0_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f964,plain,
( sQ94_spl
| ~ sP0_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,definition,
( sQ95_spl
<=> p405(sK42_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ95_spl
| p405(sK42_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f967,plain,
( sQ95_spl
| ~ p405(sK42_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,plain,
( ~ sQ71_spl
| sQ95_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f879,f962,f965,f782]) ).
fof(f969,definition,
( sQ96_spl
<=> sP0_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( ~ sQ96_spl
| sP0_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,definition,
( sQ97_spl
<=> p405(sK41_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( ~ sQ97_spl
| p405(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f974,plain,
( sQ97_spl
| ~ p405(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,plain,
( ~ sQ70_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f880,f969,f972,f771]) ).
fof(f976,definition,
( sQ98_spl
<=> sP0_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( ~ sQ98_spl
| sP0_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f978,plain,
( sQ98_spl
| ~ sP0_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,definition,
( sQ99_spl
<=> p405(sK35_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ99_spl
| p405(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f981,plain,
( sQ99_spl
| ~ p405(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( ~ sQ69_spl
| sQ99_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f881,f976,f979,f760]) ).
fof(f983,definition,
( sQ100_spl
<=> sP0_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f984,plain,
( ~ sQ100_spl
| sP0_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f985,plain,
( sQ100_spl
| ~ sP0_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,definition,
( sQ101_spl
<=> p405(sK40_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ101_spl
| p405(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f988,plain,
( sQ101_spl
| ~ p405(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( ~ sQ67_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f882,f983,f986,f746]) ).
fof(f990,definition,
( sQ102_spl
<=> sP0_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f991,plain,
( ~ sQ102_spl
| sP0_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f992,plain,
( sQ102_spl
| ~ sP0_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f993,definition,
( sQ103_spl
<=> p405(sK39_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( ~ sQ103_spl
| p405(sK39_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f995,plain,
( sQ103_spl
| ~ p405(sK39_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,plain,
( ~ sQ66_spl
| sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f883,f990,f993,f735]) ).
fof(f997,definition,
( sQ104_spl
<=> sP0_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( ~ sQ104_spl
| sP0_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f999,plain,
( sQ104_spl
| ~ sP0_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1000,definition,
( sQ105_spl
<=> p405(sK38_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ105_spl
| p405(sK38_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1002,plain,
( sQ105_spl
| ~ p405(sK38_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,plain,
( ~ sQ65_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f884,f997,f1000,f724]) ).
fof(f1004,definition,
( sQ106_spl
<=> sP0_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( ~ sQ106_spl
| sP0_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,definition,
( sQ107_spl
<=> p405(sK37_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( ~ sQ107_spl
| p405(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1009,plain,
( sQ107_spl
| ~ p405(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,plain,
( ~ sQ64_spl
| sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f885,f1004,f1007,f713]) ).
fof(f1011,definition,
( sQ108_spl
<=> sP0_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( ~ sQ108_spl
| sP0_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1013,plain,
( sQ108_spl
| ~ sP0_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,definition,
( sQ109_spl
<=> p405(sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ109_spl
| p405(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1016,plain,
( sQ109_spl
| ~ p405(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,plain,
( ~ sQ63_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f886,f1011,f1014,f690]) ).
fof(f1018,definition,
( sQ110_spl
<=> sP0_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ110_spl
| sP0_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( sQ110_spl
| ~ sP0_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,definition,
( sQ111_spl
<=> p405(sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1022,plain,
( ~ sQ111_spl
| p405(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1023,plain,
( sQ111_spl
| ~ p405(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1024,plain,
( ~ sQ61_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f887,f1018,f1021,f682]) ).
fof(f1025,definition,
( sQ112_spl
<=> sP0_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ112_spl
| sP0_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( sQ112_spl
| ~ sP0_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,definition,
( sQ113_spl
<=> p405(sK36_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ113_spl
| p405(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1030,plain,
( sQ113_spl
| ~ p405(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( ~ sQ59_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f888,f1025,f1028,f674]) ).
fof(f1032,definition,
( sQ114_spl
<=> sP0_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( ~ sQ114_spl
| sP0_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1034,plain,
( sQ114_spl
| ~ sP0_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,definition,
( sQ115_spl
<=> p405(sK31_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( ~ sQ115_spl
| p405(sK31_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1037,plain,
( sQ115_spl
| ~ p405(sK31_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,plain,
( ~ sQ58_spl
| sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f889,f1032,f1035,f663]) ).
fof(f1039,definition,
( sQ116_spl
<=> sP0_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ116_spl
| sP0_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,definition,
( sQ117_spl
<=> p405(sK30_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( ~ sQ117_spl
| p405(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1044,plain,
( sQ117_spl
| ~ p405(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,plain,
( ~ sQ57_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f890,f1039,f1042,f652]) ).
fof(f1046,definition,
( sQ118_spl
<=> sP0_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ118_spl
| sP0_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,definition,
( sQ119_spl
<=> p405(sK29_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( ~ sQ119_spl
| p405(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1051,plain,
( sQ119_spl
| ~ p405(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,plain,
( ~ sQ56_spl
| sQ119_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f891,f1046,f1049,f641]) ).
fof(f1053,definition,
( sQ120_spl
<=> sP0_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( ~ sQ120_spl
| sP0_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1055,plain,
( sQ120_spl
| ~ sP0_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ121_spl
<=> p405(sK26_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ121_spl
| p405(sK26_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1058,plain,
( sQ121_spl
| ~ p405(sK26_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,plain,
( ~ sQ55_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f892,f1053,f1056,f630]) ).
fof(f1060,definition,
( sQ122_spl
<=> sP0_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ122_spl
| sP0_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,definition,
( sQ123_spl
<=> p405(sK25_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ123_spl
| p405(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1065,plain,
( sQ123_spl
| ~ p405(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,plain,
( ~ sQ54_spl
| sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f893,f1060,f1063,f613]) ).
fof(f1067,definition,
( sQ124_spl
<=> sP0_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( ~ sQ124_spl
| sP0_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,definition,
( sQ125_spl
<=> p405(sK24_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( ~ sQ125_spl
| p405(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1072,plain,
( sQ125_spl
| ~ p405(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,plain,
( ~ sQ53_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f894,f1067,f1070,f608]) ).
fof(f1074,definition,
( sQ126_spl
<=> sP0_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1075,plain,
( ~ sQ126_spl
| sP0_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1074]) ).
fof(f1076,plain,
( sQ126_spl
| ~ sP0_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1074]) ).
fof(f1077,definition,
( sQ127_spl
<=> p405(sK23_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( ~ sQ127_spl
| p405(sK23_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1079,plain,
( sQ127_spl
| ~ p405(sK23_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,plain,
( ~ sQ52_spl
| sQ127_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f895,f1074,f1077,f597]) ).
fof(f1081,definition,
( sQ128_spl
<=> sP0_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1082,plain,
( ~ sQ128_spl
| sP0_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,definition,
( sQ129_spl
<=> p405(sK22_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( ~ sQ129_spl
| p405(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( sQ129_spl
| ~ p405(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( ~ sQ51_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f896,f1081,f1084,f580]) ).
fof(f1088,definition,
( sQ130_spl
<=> sP0_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( ~ sQ130_spl
| sP0_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,definition,
( sQ131_spl
<=> p405(sK21_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ131_spl
| p405(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1093,plain,
( sQ131_spl
| ~ p405(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,plain,
( ~ sQ50_spl
| sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f897,f1088,f1091,f569]) ).
fof(f1095,definition,
( sQ132_spl
<=> sP0_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( ~ sQ132_spl
| sP0_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1097,plain,
( sQ132_spl
| ~ sP0_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
( sQ133_spl
<=> p405(sK20_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( ~ sQ133_spl
| p405(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1100,plain,
( sQ133_spl
| ~ p405(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,plain,
( ~ sQ49_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f898,f1095,f1098,f564]) ).
fof(f1102,definition,
( sQ134_spl
<=> sP0_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( ~ sQ134_spl
| sP0_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1104,plain,
( sQ134_spl
| ~ sP0_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,definition,
( sQ135_spl
<=> p405(sK18_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( ~ sQ135_spl
| p405(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1107,plain,
( sQ135_spl
| ~ p405(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,plain,
( ~ sQ47_spl
| sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f899,f1102,f1105,f550]) ).
fof(f1109,definition,
( sQ136_spl
<=> sP0_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1110,plain,
( ~ sQ136_spl
| sP0_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1111,plain,
( sQ136_spl
| ~ sP0_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,definition,
( sQ137_spl
<=> p405(sK16_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
( ~ sQ137_spl
| p405(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1112]) ).
fof(f1114,plain,
( sQ137_spl
| ~ p405(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1112]) ).
fof(f1115,plain,
( ~ sQ45_spl
| sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f900,f1109,f1112,f522]) ).
fof(f1116,definition,
( sQ138_spl
<=> sP0_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( ~ sQ138_spl
| sP0_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1118,plain,
( sQ138_spl
| ~ sP0_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1119,definition,
( sQ139_spl
<=> p405(sK14_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( ~ sQ139_spl
| p405(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( sQ139_spl
| ~ p405(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( ~ sQ43_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f901,f1116,f1119,f514]) ).
fof(f1123,definition,
( sQ140_spl
<=> sP0_prd(sK13_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1124,plain,
( ~ sQ140_spl
| sP0_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1125,plain,
( sQ140_spl
| ~ sP0_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1126,definition,
( sQ141_spl
<=> p405(sK13_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( ~ sQ141_spl
| p405(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1128,plain,
( sQ141_spl
| ~ p405(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( ~ sQ42_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f902,f1123,f1126,f466]) ).
fof(f1130,definition,
( sQ142_spl
<=> sP0_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( ~ sQ142_spl
| sP0_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1132,plain,
( sQ142_spl
| ~ sP0_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1133,definition,
( sQ143_spl
<=> p405(sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( ~ sQ143_spl
| p405(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1135,plain,
( sQ143_spl
| ~ p405(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,plain,
( ~ sQ41_spl
| sQ143_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f903,f1130,f1133,f433]) ).
fof(f1137,definition,
( sQ144_spl
<=> sP0_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( ~ sQ144_spl
| sP0_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1139,plain,
( sQ144_spl
| ~ sP0_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,definition,
( sQ145_spl
<=> p405(sK10_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1141,plain,
( ~ sQ145_spl
| p405(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1142,plain,
( sQ145_spl
| ~ p405(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1143,plain,
( ~ sQ39_spl
| sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f904,f1137,f1140,f425]) ).
fof(f1144,definition,
( sQ146_spl
<=> sP0_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1145,plain,
( ~ sQ146_spl
| sP0_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1146,plain,
( sQ146_spl
| ~ sP0_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,definition,
( sQ147_spl
<=> p405(sK8_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( ~ sQ147_spl
| p405(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1149,plain,
( sQ147_spl
| ~ p405(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,plain,
( ~ sQ37_spl
| sQ147_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f905,f1144,f1147,f404]) ).
fof(f1151,definition,
( sQ148_spl
<=> sP0_prd(sK7_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( ~ sQ148_spl
| sP0_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1153,plain,
( sQ148_spl
| ~ sP0_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,definition,
( sQ149_spl
<=> p405(sK7_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( ~ sQ149_spl
| p405(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1156,plain,
( sQ149_spl
| ~ p405(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,plain,
( ~ sQ36_spl
| sQ149_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f906,f1151,f1154,f363]) ).
fof(f1158,definition,
( sQ150_spl
<=> sP0_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( ~ sQ150_spl
| sP0_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1160,plain,
( sQ150_spl
| ~ sP0_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,definition,
( sQ151_spl
<=> p405(sK6_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
( ~ sQ151_spl
| p405(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1163,plain,
( sQ151_spl
| ~ p405(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,plain,
( ~ sQ35_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f907,f1158,f1161,f358]) ).
fof(f1165,definition,
( sQ152_spl
<=> sP0_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( ~ sQ152_spl
| sP0_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1167,plain,
( sQ152_spl
| ~ sP0_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1168,definition,
( sQ153_spl
<=> p405(sK4_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( ~ sQ153_spl
| p405(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1170,plain,
( sQ153_spl
| ~ p405(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1171,plain,
( ~ sQ33_spl
| sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f908,f1165,f1168,f302]) ).
fof(f1172,definition,
( sQ154_spl
<=> sP0_prd(sK3_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( ~ sQ154_spl
| sP0_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1174,plain,
( sQ154_spl
| ~ sP0_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1175,definition,
( sQ155_spl
<=> p405(sK3_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
( ~ sQ155_spl
| p405(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1177,plain,
( sQ155_spl
| ~ p405(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1178,plain,
( ~ sQ32_spl
| sQ155_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f909,f1172,f1175,f297]) ).
fof(f1179,definition,
( sQ156_spl
<=> sP0_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1180,plain,
( ~ sQ156_spl
| sP0_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1181,plain,
( sQ156_spl
| ~ sP0_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1182,definition,
( sQ157_spl
<=> p405(sK2_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1183,plain,
( ~ sQ157_spl
| p405(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1184,plain,
( sQ157_spl
| ~ p405(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1185,plain,
( ~ sQ31_spl
| sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f910,f1179,f1182,f292]) ).
fof(f1186,definition,
( sQ158_spl
<=> sP0_prd(sK1_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
( ~ sQ158_spl
| sP0_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,definition,
( sQ159_spl
<=> p405(sK1_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1190,plain,
( ~ sQ159_spl
| p405(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1191,plain,
( sQ159_spl
| ~ p405(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1192,plain,
( ~ sQ30_spl
| sQ159_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f911,f1186,f1189,f286]) ).
fof(f1193,definition,
( sQ160_spl
<=> sP0_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
( ~ sQ160_spl
| sP0_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1195,plain,
( sQ160_spl
| ~ sP0_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1196,definition,
( sQ161_spl
<=> p405(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ161_spl
| p405(sK51_skl) ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1198,plain,
( sQ161_spl
| ~ p405(sK51_skl) ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1199,plain,
( sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f912,f1193,f1196]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ161_spl
| ~ sP3_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1197,f156]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ161_spl
| ~ sP1_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1197,f146]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ161_spl
| ~ sP0_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1197,f141]) ).
fof(f1203,plain,
( ~ sQ160_spl
| ~ sQ161_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1194,f1202]) ).
fof(f1204,plain,
( ~ sQ160_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f1203]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ30_spl
| ~ sP9_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f311,f186]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| ~ sP9_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f331,f186]) ).
fof(f1207,plain,
( ~ sQ57_spl
| p405(sK30_skl(sK51_skl))
| sP1_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f147,f653]) ).
fof(f1208,plain,
( ~ sQ54_spl
| p405(sK25_skl(sK51_skl))
| sP1_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f147,f614]) ).
fof(f1209,plain,
( ~ sQ51_spl
| p405(sK22_skl(sK51_skl))
| sP1_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f147,f581]) ).
fof(f1210,plain,
( ~ sQ42_spl
| p405(sK13_skl(sK51_skl))
| sP1_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f147,f467]) ).
fof(f1211,plain,
( ~ sQ36_spl
| p405(sK7_skl(sK51_skl))
| sP1_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f147,f364]) ).
fof(f1212,plain,
( ~ sQ32_spl
| p405(sK3_skl(sK51_skl))
| sP1_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f147,f298]) ).
fof(f1213,plain,
( ~ sQ30_spl
| p405(sK1_skl(sK51_skl))
| sP1_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f147,f287]) ).
fof(f1214,plain,
( p405(sK51_skl)
| sP1_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f147,f131]) ).
fof(f1215,definition,
( sQ162_spl
<=> sP1_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1216,plain,
( ~ sQ162_spl
| sP1_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1217,plain,
( sQ162_spl
| ~ sP1_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( ~ sQ57_spl
| sQ117_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1207,f1215,f1042,f652]) ).
fof(f1219,definition,
( sQ163_spl
<=> sP1_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( ~ sQ163_spl
| sP1_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1219]) ).
fof(f1221,plain,
( sQ163_spl
| ~ sP1_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1219]) ).
fof(f1222,plain,
( ~ sQ54_spl
| sQ123_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1208,f1219,f1063,f613]) ).
fof(f1223,definition,
( sQ164_spl
<=> sP1_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1224,plain,
( ~ sQ164_spl
| sP1_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1225,plain,
( sQ164_spl
| ~ sP1_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1226,plain,
( ~ sQ51_spl
| sQ129_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1209,f1223,f1084,f580]) ).
fof(f1227,definition,
( sQ165_spl
<=> sP1_prd(sK13_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1228,plain,
( ~ sQ165_spl
| sP1_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( sQ165_spl
| ~ sP1_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,plain,
( ~ sQ42_spl
| sQ141_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1210,f1227,f1126,f466]) ).
fof(f1231,definition,
( sQ166_spl
<=> sP1_prd(sK7_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( ~ sQ166_spl
| sP1_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1231]) ).
fof(f1233,plain,
( sQ166_spl
| ~ sP1_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1231]) ).
fof(f1234,plain,
( ~ sQ36_spl
| sQ149_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1211,f1231,f1154,f363]) ).
fof(f1235,definition,
( sQ167_spl
<=> sP1_prd(sK3_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
( ~ sQ167_spl
| sP1_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1237,plain,
( sQ167_spl
| ~ sP1_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,plain,
( ~ sQ32_spl
| sQ155_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1212,f1235,f1175,f297]) ).
fof(f1239,definition,
( sQ168_spl
<=> sP1_prd(sK1_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( ~ sQ168_spl
| sP1_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1241,plain,
( sQ168_spl
| ~ sP1_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1242,plain,
( ~ sQ30_spl
| sQ159_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1213,f1239,f1189,f286]) ).
fof(f1243,definition,
( sQ169_spl
<=> sP1_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
( ~ sQ169_spl
| sP1_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1245,plain,
( sQ169_spl
| ~ sP1_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1246,plain,
( sQ161_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1214,f1243,f1196]) ).
fof(f1247,plain,
( ~ sQ169_spl
| ~ sQ161_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1244,f1201]) ).
fof(f1248,plain,
( ~ sQ169_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f1247]) ).
fof(f1249,plain,
( ~ sQ57_spl
| p305(sK30_skl(sK51_skl))
| sP2_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f152,f653]) ).
fof(f1250,plain,
( ~ sQ54_spl
| p305(sK25_skl(sK51_skl))
| sP2_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f152,f614]) ).
fof(f1251,plain,
( ~ sQ51_spl
| p305(sK22_skl(sK51_skl))
| sP2_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f152,f581]) ).
fof(f1252,plain,
( ~ sQ42_spl
| p305(sK13_skl(sK51_skl))
| sP2_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f152,f467]) ).
fof(f1253,plain,
( ~ sQ36_spl
| p305(sK7_skl(sK51_skl))
| sP2_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f152,f364]) ).
fof(f1254,plain,
( ~ sQ32_spl
| p305(sK3_skl(sK51_skl))
| sP2_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f152,f298]) ).
fof(f1255,plain,
( ~ sQ30_spl
| p305(sK1_skl(sK51_skl))
| sP2_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f152,f287]) ).
fof(f1256,plain,
( p305(sK51_skl)
| sP2_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f152,f131]) ).
fof(f1257,definition,
( sQ170_spl
<=> sP2_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1258,plain,
( ~ sQ170_spl
| sP2_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1259,plain,
( sQ170_spl
| ~ sP2_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1260,definition,
( sQ171_spl
<=> p305(sK30_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( ~ sQ171_spl
| p305(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1262,plain,
( sQ171_spl
| ~ p305(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1263,plain,
( ~ sQ57_spl
| sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1249,f1257,f1260,f652]) ).
fof(f1264,definition,
( sQ172_spl
<=> sP2_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1265,plain,
( ~ sQ172_spl
| sP2_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1266,plain,
( sQ172_spl
| ~ sP2_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,definition,
( sQ173_spl
<=> p305(sK25_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1268,plain,
( ~ sQ173_spl
| p305(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1269,plain,
( sQ173_spl
| ~ p305(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1270,plain,
( ~ sQ54_spl
| sQ173_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1250,f1264,f1267,f613]) ).
fof(f1271,definition,
( sQ174_spl
<=> sP2_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( ~ sQ174_spl
| sP2_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( sQ174_spl
| ~ sP2_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,definition,
( sQ175_spl
<=> p305(sK22_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
( ~ sQ175_spl
| p305(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1276,plain,
( sQ175_spl
| ~ p305(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,plain,
( ~ sQ51_spl
| sQ175_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1251,f1271,f1274,f580]) ).
fof(f1278,definition,
( sQ176_spl
<=> sP2_prd(sK13_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1279,plain,
( ~ sQ176_spl
| sP2_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1278]) ).
fof(f1280,plain,
( sQ176_spl
| ~ sP2_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1278]) ).
fof(f1281,definition,
( sQ177_spl
<=> p305(sK13_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1282,plain,
( ~ sQ177_spl
| p305(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1283,plain,
( sQ177_spl
| ~ p305(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1284,plain,
( ~ sQ42_spl
| sQ177_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1252,f1278,f1281,f466]) ).
fof(f1285,definition,
( sQ178_spl
<=> sP2_prd(sK7_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ178_spl
| sP2_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1287,plain,
( sQ178_spl
| ~ sP2_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,definition,
( sQ179_spl
<=> p305(sK7_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ179_spl
| p305(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( sQ179_spl
| ~ p305(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( ~ sQ36_spl
| sQ179_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1253,f1285,f1288,f363]) ).
fof(f1292,definition,
( sQ180_spl
<=> sP2_prd(sK3_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( ~ sQ180_spl
| sP2_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1294,plain,
( sQ180_spl
| ~ sP2_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,definition,
( sQ181_spl
<=> p305(sK3_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
( ~ sQ181_spl
| p305(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1295]) ).
fof(f1297,plain,
( sQ181_spl
| ~ p305(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1295]) ).
fof(f1298,plain,
( ~ sQ32_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1254,f1292,f1295,f297]) ).
fof(f1299,definition,
( sQ182_spl
<=> sP2_prd(sK1_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1300,plain,
( ~ sQ182_spl
| sP2_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1299]) ).
fof(f1301,plain,
( sQ182_spl
| ~ sP2_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1299]) ).
fof(f1302,definition,
( sQ183_spl
<=> p305(sK1_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( ~ sQ183_spl
| p305(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1302]) ).
fof(f1304,plain,
( sQ183_spl
| ~ p305(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1302]) ).
fof(f1305,plain,
( ~ sQ30_spl
| sQ183_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1255,f1299,f1302,f286]) ).
fof(f1306,definition,
( sQ184_spl
<=> sP2_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( ~ sQ184_spl
| sP2_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
( sQ184_spl
| ~ sP2_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1309,definition,
( sQ185_spl
<=> p305(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1310,plain,
( ~ sQ185_spl
| p305(sK51_skl) ),
inference(component_clause,[status(thm)],[f1309]) ).
fof(f1311,plain,
( sQ185_spl
| ~ p305(sK51_skl) ),
inference(component_clause,[status(thm)],[f1309]) ).
fof(f1312,plain,
( sQ185_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1256,f1306,f1309]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ185_spl
| ~ sP4_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1310,f161]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ185_spl
| ~ sP2_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1310,f151]) ).
fof(f1315,plain,
( ~ sQ184_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1307,f1314]) ).
fof(f1316,plain,
( ~ sQ184_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f1315]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ36_spl
| ~ sP9_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f382,f186]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ42_spl
| ~ sP9_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f472,f186]) ).
fof(f1319,plain,
( ~ sQ25_spl
| ~ sQ42_spl
| ~ p605(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f473,f36]) ).
fof(f1320,definition,
( sQ186_spl
<=> r1(sK0_skl,sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( sQ186_spl
| ~ r1(sK0_skl,sK51_skl) ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,plain,
( ~ sQ25_spl
| ~ sQ42_spl
| ~ sQ0_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1319,f1320,f188,f466,f268]) ).
fof(f1324,plain,
( sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1322,f131]) ).
fof(f1325,plain,
sQ186_spl,
inference(contradiction_clause,[status(thm)],[f1324]) ).
fof(f1326,plain,
( ~ sQ57_spl
| p405(sK30_skl(sK51_skl))
| sP3_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f157,f653]) ).
fof(f1327,plain,
( ~ sQ54_spl
| p405(sK25_skl(sK51_skl))
| sP3_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f157,f614]) ).
fof(f1328,plain,
( ~ sQ51_spl
| p405(sK22_skl(sK51_skl))
| sP3_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f157,f581]) ).
fof(f1329,plain,
( ~ sQ42_spl
| p405(sK13_skl(sK51_skl))
| sP3_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f157,f467]) ).
fof(f1330,plain,
( ~ sQ36_spl
| p405(sK7_skl(sK51_skl))
| sP3_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f157,f364]) ).
fof(f1331,plain,
( ~ sQ32_spl
| p405(sK3_skl(sK51_skl))
| sP3_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f157,f298]) ).
fof(f1332,plain,
( ~ sQ30_spl
| p405(sK1_skl(sK51_skl))
| sP3_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f157,f287]) ).
fof(f1333,plain,
( p405(sK51_skl)
| sP3_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f157,f131]) ).
fof(f1334,definition,
( sQ187_spl
<=> sP3_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1335,plain,
( ~ sQ187_spl
| sP3_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1336,plain,
( sQ187_spl
| ~ sP3_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,plain,
( ~ sQ57_spl
| sQ117_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1326,f1334,f1042,f652]) ).
fof(f1338,definition,
( sQ188_spl
<=> sP3_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1339,plain,
( ~ sQ188_spl
| sP3_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1340,plain,
( sQ188_spl
| ~ sP3_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1341,plain,
( ~ sQ54_spl
| sQ123_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1327,f1338,f1063,f613]) ).
fof(f1342,definition,
( sQ189_spl
<=> sP3_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( ~ sQ189_spl
| sP3_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1344,plain,
( sQ189_spl
| ~ sP3_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( ~ sQ51_spl
| sQ129_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1328,f1342,f1084,f580]) ).
fof(f1346,definition,
( sQ190_spl
<=> sP3_prd(sK13_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1347,plain,
( ~ sQ190_spl
| sP3_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1348,plain,
( sQ190_spl
| ~ sP3_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,plain,
( ~ sQ42_spl
| sQ141_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1329,f1346,f1126,f466]) ).
fof(f1350,definition,
( sQ191_spl
<=> sP3_prd(sK7_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1351,plain,
( ~ sQ191_spl
| sP3_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1350]) ).
fof(f1352,plain,
( sQ191_spl
| ~ sP3_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1350]) ).
fof(f1353,plain,
( ~ sQ36_spl
| sQ149_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1330,f1350,f1154,f363]) ).
fof(f1354,definition,
( sQ192_spl
<=> sP3_prd(sK3_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1355,plain,
( ~ sQ192_spl
| sP3_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1354]) ).
fof(f1356,plain,
( sQ192_spl
| ~ sP3_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1354]) ).
fof(f1357,plain,
( ~ sQ32_spl
| sQ155_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1331,f1354,f1175,f297]) ).
fof(f1358,definition,
( sQ193_spl
<=> sP3_prd(sK1_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
( ~ sQ193_spl
| sP3_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1360,plain,
( sQ193_spl
| ~ sP3_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1361,plain,
( ~ sQ30_spl
| sQ159_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1332,f1358,f1189,f286]) ).
fof(f1362,definition,
( sQ194_spl
<=> sP3_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1363,plain,
( ~ sQ194_spl
| sP3_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1362]) ).
fof(f1365,plain,
( sQ161_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1333,f1362,f1196]) ).
fof(f1366,plain,
( ~ sQ194_spl
| ~ sQ161_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1363,f1200]) ).
fof(f1367,plain,
( ~ sQ194_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f1366]) ).
fof(f1368,plain,
( ~ sQ57_spl
| p305(sK30_skl(sK51_skl))
| sP4_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f162,f653]) ).
fof(f1369,plain,
( ~ sQ54_spl
| p305(sK25_skl(sK51_skl))
| sP4_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f162,f614]) ).
fof(f1370,plain,
( ~ sQ51_spl
| p305(sK22_skl(sK51_skl))
| sP4_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f162,f581]) ).
fof(f1371,plain,
( ~ sQ42_spl
| p305(sK13_skl(sK51_skl))
| sP4_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f162,f467]) ).
fof(f1372,plain,
( ~ sQ36_spl
| p305(sK7_skl(sK51_skl))
| sP4_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f162,f364]) ).
fof(f1373,plain,
( ~ sQ32_spl
| p305(sK3_skl(sK51_skl))
| sP4_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f162,f298]) ).
fof(f1374,plain,
( ~ sQ30_spl
| p305(sK1_skl(sK51_skl))
| sP4_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f162,f287]) ).
fof(f1375,plain,
( p305(sK51_skl)
| sP4_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f162,f131]) ).
fof(f1376,definition,
( sQ195_spl
<=> sP4_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1377,plain,
( ~ sQ195_spl
| sP4_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1378,plain,
( sQ195_spl
| ~ sP4_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1379,plain,
( ~ sQ57_spl
| sQ171_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1368,f1376,f1260,f652]) ).
fof(f1380,definition,
( sQ196_spl
<=> sP4_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1381,plain,
( ~ sQ196_spl
| sP4_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1380]) ).
fof(f1382,plain,
( sQ196_spl
| ~ sP4_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1380]) ).
fof(f1383,plain,
( ~ sQ54_spl
| sQ173_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1369,f1380,f1267,f613]) ).
fof(f1384,definition,
( sQ197_spl
<=> sP4_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
( ~ sQ197_spl
| sP4_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1386,plain,
( sQ197_spl
| ~ sP4_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1387,plain,
( ~ sQ51_spl
| sQ175_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1370,f1384,f1274,f580]) ).
fof(f1388,definition,
( sQ198_spl
<=> sP4_prd(sK13_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1389,plain,
( ~ sQ198_spl
| sP4_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1390,plain,
( sQ198_spl
| ~ sP4_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1391,plain,
( ~ sQ42_spl
| sQ177_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1371,f1388,f1281,f466]) ).
fof(f1392,definition,
( sQ199_spl
<=> sP4_prd(sK7_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1393,plain,
( ~ sQ199_spl
| sP4_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1392]) ).
fof(f1394,plain,
( sQ199_spl
| ~ sP4_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1392]) ).
fof(f1395,plain,
( ~ sQ36_spl
| sQ179_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1372,f1392,f1288,f363]) ).
fof(f1396,definition,
( sQ200_spl
<=> sP4_prd(sK3_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1397,plain,
( ~ sQ200_spl
| sP4_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1398,plain,
( sQ200_spl
| ~ sP4_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,plain,
( ~ sQ32_spl
| sQ181_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1373,f1396,f1295,f297]) ).
fof(f1400,definition,
( sQ201_spl
<=> sP4_prd(sK1_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
( ~ sQ201_spl
| sP4_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1403,plain,
( ~ sQ30_spl
| sQ183_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1374,f1400,f1302,f286]) ).
fof(f1404,definition,
( sQ202_spl
<=> sP4_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
( ~ sQ202_spl
| sP4_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1407,plain,
( sQ185_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1375,f1404,f1309]) ).
fof(f1408,plain,
( ~ sQ202_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1405,f1313]) ).
fof(f1409,plain,
( ~ sQ202_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f1408]) ).
fof(f1410,plain,
( ~ sQ57_spl
| p205(sK30_skl(sK51_skl))
| sP5_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f167,f653]) ).
fof(f1411,plain,
( ~ sQ54_spl
| p205(sK25_skl(sK51_skl))
| sP5_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f167,f614]) ).
fof(f1412,plain,
( ~ sQ51_spl
| p205(sK22_skl(sK51_skl))
| sP5_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f167,f581]) ).
fof(f1413,plain,
( ~ sQ42_spl
| p205(sK13_skl(sK51_skl))
| sP5_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f167,f467]) ).
fof(f1414,plain,
( ~ sQ36_spl
| p205(sK7_skl(sK51_skl))
| sP5_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f167,f364]) ).
fof(f1415,plain,
( ~ sQ32_spl
| p205(sK3_skl(sK51_skl))
| sP5_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f167,f298]) ).
fof(f1416,plain,
( ~ sQ30_spl
| p205(sK1_skl(sK51_skl))
| sP5_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f167,f287]) ).
fof(f1417,plain,
( p205(sK51_skl)
| sP5_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f167,f131]) ).
fof(f1418,definition,
( sQ203_spl
<=> sP5_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( ~ sQ203_spl
| sP5_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,definition,
( sQ204_spl
<=> p205(sK30_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( ~ sQ204_spl
| p205(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1423,plain,
( sQ204_spl
| ~ p205(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1424,plain,
( ~ sQ57_spl
| sQ204_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1410,f1418,f1421,f652]) ).
fof(f1425,definition,
( sQ205_spl
<=> sP5_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1426,plain,
( ~ sQ205_spl
| sP5_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1425]) ).
fof(f1428,definition,
( sQ206_spl
<=> p205(sK25_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1429,plain,
( ~ sQ206_spl
| p205(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1430,plain,
( sQ206_spl
| ~ p205(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1431,plain,
( ~ sQ54_spl
| sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1411,f1425,f1428,f613]) ).
fof(f1432,definition,
( sQ207_spl
<=> sP5_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1433,plain,
( ~ sQ207_spl
| sP5_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1432]) ).
fof(f1435,definition,
( sQ208_spl
<=> p205(sK22_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1436,plain,
( ~ sQ208_spl
| p205(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1435]) ).
fof(f1437,plain,
( sQ208_spl
| ~ p205(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1435]) ).
fof(f1438,plain,
( ~ sQ51_spl
| sQ208_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1412,f1432,f1435,f580]) ).
fof(f1439,definition,
( sQ209_spl
<=> sP5_prd(sK13_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
( ~ sQ209_spl
| sP5_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1441,plain,
( sQ209_spl
| ~ sP5_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1442,definition,
( sQ210_spl
<=> p205(sK13_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
( ~ sQ210_spl
| p205(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1442]) ).
fof(f1444,plain,
( sQ210_spl
| ~ p205(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1442]) ).
fof(f1445,plain,
( ~ sQ42_spl
| sQ210_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1413,f1439,f1442,f466]) ).
fof(f1446,definition,
( sQ211_spl
<=> sP5_prd(sK7_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( ~ sQ211_spl
| sP5_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1448,plain,
( sQ211_spl
| ~ sP5_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1449,definition,
( sQ212_spl
<=> p205(sK7_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1450,plain,
( ~ sQ212_spl
| p205(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1451,plain,
( sQ212_spl
| ~ p205(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,plain,
( ~ sQ36_spl
| sQ212_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1414,f1446,f1449,f363]) ).
fof(f1453,definition,
( sQ213_spl
<=> sP5_prd(sK3_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( ~ sQ213_spl
| sP5_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1456,definition,
( sQ214_spl
<=> p205(sK3_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1457,plain,
( ~ sQ214_spl
| p205(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1456]) ).
fof(f1458,plain,
( sQ214_spl
| ~ p205(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1456]) ).
fof(f1459,plain,
( ~ sQ32_spl
| sQ214_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1415,f1453,f1456,f297]) ).
fof(f1460,definition,
( sQ215_spl
<=> sP5_prd(sK1_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( ~ sQ215_spl
| sP5_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( sQ215_spl
| ~ sP5_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,definition,
( sQ216_spl
<=> p205(sK1_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ216_spl
| p205(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1465,plain,
( sQ216_spl
| ~ p205(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,plain,
( ~ sQ30_spl
| sQ216_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1416,f1460,f1463,f286]) ).
fof(f1467,definition,
( sQ217_spl
<=> sP5_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( ~ sQ217_spl
| sP5_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,definition,
( sQ218_spl
<=> p205(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( ~ sQ218_spl
| p205(sK51_skl) ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1472,plain,
( sQ218_spl
| ~ p205(sK51_skl) ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,plain,
( sQ218_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1417,f1467,f1470]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ218_spl
| ~ sP5_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1471,f166]) ).
fof(f1475,plain,
( ~ sQ217_spl
| ~ sQ218_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1468,f1474]) ).
fof(f1476,plain,
( ~ sQ217_spl
| ~ sQ218_spl ),
inference(contradiction_clause,[status(thm)],[f1475]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ30_spl
| ~ sP4_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f307,f161]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ30_spl
| ~ sP2_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f307,f151]) ).
fof(f1479,plain,
( ~ sQ201_spl
| ~ sQ15_spl
| ~ sQ30_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1401,f1477]) ).
fof(f1480,plain,
( ~ sQ182_spl
| ~ sQ15_spl
| ~ sQ30_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1300,f1478]) ).
fof(f1481,plain,
( ~ sQ201_spl
| ~ sQ15_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1482,plain,
( ~ sQ57_spl
| p304(sK30_skl(sK51_skl))
| sP6_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f172,f653]) ).
fof(f1483,plain,
( ~ sQ54_spl
| p304(sK25_skl(sK51_skl))
| sP6_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f172,f614]) ).
fof(f1484,plain,
( ~ sQ51_spl
| p304(sK22_skl(sK51_skl))
| sP6_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f172,f581]) ).
fof(f1485,plain,
( ~ sQ42_spl
| p304(sK13_skl(sK51_skl))
| sP6_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f172,f467]) ).
fof(f1486,plain,
( ~ sQ36_spl
| p304(sK7_skl(sK51_skl))
| sP6_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f172,f364]) ).
fof(f1487,plain,
( ~ sQ32_spl
| p304(sK3_skl(sK51_skl))
| sP6_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f172,f298]) ).
fof(f1488,plain,
( ~ sQ30_spl
| p304(sK1_skl(sK51_skl))
| sP6_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f172,f287]) ).
fof(f1489,plain,
( p304(sK51_skl)
| sP6_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f172,f131]) ).
fof(f1490,definition,
( sQ219_spl
<=> sP6_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1491,plain,
( ~ sQ219_spl
| sP6_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,definition,
( sQ220_spl
<=> p304(sK30_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
( ~ sQ220_spl
| p304(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1495,plain,
( sQ220_spl
| ~ p304(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1496,plain,
( ~ sQ57_spl
| sQ220_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1482,f1490,f1493,f652]) ).
fof(f1497,definition,
( sQ221_spl
<=> sP6_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1498,plain,
( ~ sQ221_spl
| sP6_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1497]) ).
fof(f1500,definition,
( sQ222_spl
<=> p304(sK25_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1501,plain,
( ~ sQ222_spl
| p304(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1500]) ).
fof(f1502,plain,
( sQ222_spl
| ~ p304(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1500]) ).
fof(f1503,plain,
( ~ sQ54_spl
| sQ222_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1483,f1497,f1500,f613]) ).
fof(f1504,definition,
( sQ223_spl
<=> sP6_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( ~ sQ223_spl
| sP6_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,definition,
( sQ224_spl
<=> p304(sK22_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( ~ sQ224_spl
| p304(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1507]) ).
fof(f1509,plain,
( sQ224_spl
| ~ p304(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1507]) ).
fof(f1510,plain,
( ~ sQ51_spl
| sQ224_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1484,f1504,f1507,f580]) ).
fof(f1511,definition,
( sQ225_spl
<=> sP6_prd(sK13_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1512,plain,
( ~ sQ225_spl
| sP6_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1511]) ).
fof(f1514,definition,
( sQ226_spl
<=> p304(sK13_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( ~ sQ226_spl
| p304(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1514]) ).
fof(f1516,plain,
( sQ226_spl
| ~ p304(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1514]) ).
fof(f1517,plain,
( ~ sQ42_spl
| sQ226_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1485,f1511,f1514,f466]) ).
fof(f1518,definition,
( sQ227_spl
<=> sP6_prd(sK7_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1519,plain,
( ~ sQ227_spl
| sP6_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1518]) ).
fof(f1521,definition,
( sQ228_spl
<=> p304(sK7_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1522,plain,
( ~ sQ228_spl
| p304(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1521]) ).
fof(f1523,plain,
( sQ228_spl
| ~ p304(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1521]) ).
fof(f1524,plain,
( ~ sQ36_spl
| sQ228_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1486,f1518,f1521,f363]) ).
fof(f1525,definition,
( sQ229_spl
<=> sP6_prd(sK3_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
( ~ sQ229_spl
| sP6_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1527,plain,
( sQ229_spl
| ~ sP6_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1528,definition,
( sQ230_spl
<=> p304(sK3_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1529,plain,
( ~ sQ230_spl
| p304(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1528]) ).
fof(f1530,plain,
( sQ230_spl
| ~ p304(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1528]) ).
fof(f1531,plain,
( ~ sQ32_spl
| sQ230_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1487,f1525,f1528,f297]) ).
fof(f1532,definition,
( sQ231_spl
<=> sP6_prd(sK1_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1533,plain,
( ~ sQ231_spl
| sP6_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1532]) ).
fof(f1534,plain,
( sQ231_spl
| ~ sP6_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1532]) ).
fof(f1535,definition,
( sQ232_spl
<=> p304(sK1_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1536,plain,
( ~ sQ232_spl
| p304(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1535]) ).
fof(f1537,plain,
( sQ232_spl
| ~ p304(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1535]) ).
fof(f1538,plain,
( ~ sQ30_spl
| sQ232_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1488,f1532,f1535,f286]) ).
fof(f1539,definition,
( sQ233_spl
<=> sP6_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ233_spl
| sP6_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( sQ233_spl
| ~ sP6_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,definition,
( sQ234_spl
<=> p304(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1543,plain,
( ~ sQ234_spl
| p304(sK51_skl) ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( sQ234_spl
| ~ p304(sK51_skl) ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1545,plain,
( sQ234_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1489,f1539,f1542]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ234_spl
| ~ sP7_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1543,f176]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ234_spl
| ~ sP6_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1543,f171]) ).
fof(f1548,plain,
( ~ sQ233_spl
| ~ sQ234_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1540,f1547]) ).
fof(f1549,plain,
( ~ sQ233_spl
| ~ sQ234_spl ),
inference(contradiction_clause,[status(thm)],[f1548]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ51_spl
| ~ sP9_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f591,f186]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ54_spl
| ~ sP9_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f624,f186]) ).
fof(f1552,plain,
( ~ sQ57_spl
| p304(sK30_skl(sK51_skl))
| sP7_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f177,f653]) ).
fof(f1553,plain,
( ~ sQ54_spl
| p304(sK25_skl(sK51_skl))
| sP7_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f177,f614]) ).
fof(f1554,plain,
( ~ sQ51_spl
| p304(sK22_skl(sK51_skl))
| sP7_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f177,f581]) ).
fof(f1555,plain,
( ~ sQ42_spl
| p304(sK13_skl(sK51_skl))
| sP7_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f177,f467]) ).
fof(f1556,plain,
( ~ sQ36_spl
| p304(sK7_skl(sK51_skl))
| sP7_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f177,f364]) ).
fof(f1557,plain,
( ~ sQ32_spl
| p304(sK3_skl(sK51_skl))
| sP7_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f177,f298]) ).
fof(f1558,plain,
( ~ sQ30_spl
| p304(sK1_skl(sK51_skl))
| sP7_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f177,f287]) ).
fof(f1559,plain,
( p304(sK51_skl)
| sP7_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f177,f131]) ).
fof(f1560,definition,
( sQ235_spl
<=> sP7_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( ~ sQ235_spl
| sP7_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1562,plain,
( sQ235_spl
| ~ sP7_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1563,plain,
( ~ sQ57_spl
| sQ220_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1552,f1560,f1493,f652]) ).
fof(f1564,definition,
( sQ236_spl
<=> sP7_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( ~ sQ236_spl
| sP7_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1564]) ).
fof(f1566,plain,
( sQ236_spl
| ~ sP7_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1564]) ).
fof(f1567,plain,
( ~ sQ54_spl
| sQ222_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1553,f1564,f1500,f613]) ).
fof(f1568,definition,
( sQ237_spl
<=> sP7_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1569,plain,
( ~ sQ237_spl
| sP7_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1568]) ).
fof(f1571,plain,
( ~ sQ51_spl
| sQ224_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1554,f1568,f1507,f580]) ).
fof(f1572,definition,
( sQ238_spl
<=> sP7_prd(sK13_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1573,plain,
( ~ sQ238_spl
| sP7_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1572]) ).
fof(f1574,plain,
( sQ238_spl
| ~ sP7_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1572]) ).
fof(f1575,plain,
( ~ sQ42_spl
| sQ226_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1555,f1572,f1514,f466]) ).
fof(f1576,definition,
( sQ239_spl
<=> sP7_prd(sK7_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
( ~ sQ239_spl
| sP7_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1576]) ).
fof(f1578,plain,
( sQ239_spl
| ~ sP7_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1576]) ).
fof(f1579,plain,
( ~ sQ36_spl
| sQ228_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1556,f1576,f1521,f363]) ).
fof(f1580,definition,
( sQ240_spl
<=> sP7_prd(sK3_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
( ~ sQ240_spl
| sP7_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1582,plain,
( sQ240_spl
| ~ sP7_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1583,plain,
( ~ sQ32_spl
| sQ230_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f1557,f1580,f1528,f297]) ).
fof(f1584,definition,
( sQ241_spl
<=> sP7_prd(sK1_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1585,plain,
( ~ sQ241_spl
| sP7_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1584]) ).
fof(f1586,plain,
( sQ241_spl
| ~ sP7_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1584]) ).
fof(f1587,plain,
( ~ sQ30_spl
| sQ232_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f1558,f1584,f1535,f286]) ).
fof(f1588,definition,
( sQ242_spl
<=> sP7_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1589,plain,
( ~ sQ242_spl
| sP7_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1588]) ).
fof(f1591,plain,
( sQ234_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f1559,f1588,f1542]) ).
fof(f1592,plain,
( ~ sQ242_spl
| ~ sQ234_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1589,f1546]) ).
fof(f1593,plain,
( ~ sQ242_spl
| ~ sQ234_spl ),
inference(contradiction_clause,[status(thm)],[f1592]) ).
fof(f1594,plain,
( ~ sQ57_spl
| p204(sK30_skl(sK51_skl))
| sP8_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f182,f653]) ).
fof(f1595,plain,
( ~ sQ54_spl
| p204(sK25_skl(sK51_skl))
| sP8_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f182,f614]) ).
fof(f1596,plain,
( ~ sQ51_spl
| p204(sK22_skl(sK51_skl))
| sP8_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f182,f581]) ).
fof(f1597,plain,
( ~ sQ42_spl
| p204(sK13_skl(sK51_skl))
| sP8_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f182,f467]) ).
fof(f1598,plain,
( ~ sQ36_spl
| p204(sK7_skl(sK51_skl))
| sP8_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f182,f364]) ).
fof(f1599,plain,
( ~ sQ32_spl
| p204(sK3_skl(sK51_skl))
| sP8_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f182,f298]) ).
fof(f1600,plain,
( ~ sQ30_spl
| p204(sK1_skl(sK51_skl))
| sP8_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f182,f287]) ).
fof(f1601,plain,
( p204(sK51_skl)
| sP8_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f182,f131]) ).
fof(f1602,definition,
( sQ243_spl
<=> sP8_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( ~ sQ243_spl
| sP8_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,definition,
( sQ244_spl
<=> p204(sK30_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1606,plain,
( ~ sQ244_spl
| p204(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1605]) ).
fof(f1607,plain,
( sQ244_spl
| ~ p204(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1605]) ).
fof(f1608,plain,
( ~ sQ57_spl
| sQ244_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f1594,f1602,f1605,f652]) ).
fof(f1609,definition,
( sQ245_spl
<=> sP8_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1610,plain,
( ~ sQ245_spl
| sP8_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1609]) ).
fof(f1611,plain,
( sQ245_spl
| ~ sP8_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1609]) ).
fof(f1612,definition,
( sQ246_spl
<=> p204(sK25_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1613,plain,
( ~ sQ246_spl
| p204(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1612]) ).
fof(f1614,plain,
( sQ246_spl
| ~ p204(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1612]) ).
fof(f1615,plain,
( ~ sQ54_spl
| sQ246_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f1595,f1609,f1612,f613]) ).
fof(f1616,definition,
( sQ247_spl
<=> sP8_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1617,plain,
( ~ sQ247_spl
| sP8_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1616]) ).
fof(f1619,definition,
( sQ248_spl
<=> p204(sK22_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1620,plain,
( ~ sQ248_spl
| p204(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1619]) ).
fof(f1621,plain,
( sQ248_spl
| ~ p204(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1619]) ).
fof(f1622,plain,
( ~ sQ51_spl
| sQ248_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f1596,f1616,f1619,f580]) ).
fof(f1623,definition,
( sQ249_spl
<=> sP8_prd(sK13_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1624,plain,
( ~ sQ249_spl
| sP8_prd(sK13_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1623]) ).
fof(f1626,definition,
( sQ250_spl
<=> p204(sK13_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1627,plain,
( ~ sQ250_spl
| p204(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1626]) ).
fof(f1628,plain,
( sQ250_spl
| ~ p204(sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1626]) ).
fof(f1629,plain,
( ~ sQ42_spl
| sQ250_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f1597,f1623,f1626,f466]) ).
fof(f1630,definition,
( sQ251_spl
<=> sP8_prd(sK7_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1631,plain,
( ~ sQ251_spl
| sP8_prd(sK7_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1630]) ).
fof(f1633,definition,
( sQ252_spl
<=> p204(sK7_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1634,plain,
( ~ sQ252_spl
| p204(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1633]) ).
fof(f1635,plain,
( sQ252_spl
| ~ p204(sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1633]) ).
fof(f1636,plain,
( ~ sQ36_spl
| sQ252_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f1598,f1630,f1633,f363]) ).
fof(f1637,definition,
( sQ253_spl
<=> sP8_prd(sK3_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1638,plain,
( ~ sQ253_spl
| sP8_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1637]) ).
fof(f1639,plain,
( sQ253_spl
| ~ sP8_prd(sK3_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1637]) ).
fof(f1640,definition,
( sQ254_spl
<=> p204(sK3_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1641,plain,
( ~ sQ254_spl
| p204(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1640]) ).
fof(f1642,plain,
( sQ254_spl
| ~ p204(sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1640]) ).
fof(f1643,plain,
( ~ sQ32_spl
| sQ254_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f1599,f1637,f1640,f297]) ).
fof(f1644,definition,
( sQ255_spl
<=> sP8_prd(sK1_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1645,plain,
( ~ sQ255_spl
| sP8_prd(sK1_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1644]) ).
fof(f1647,definition,
( sQ256_spl
<=> p204(sK1_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1648,plain,
( ~ sQ256_spl
| p204(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1647]) ).
fof(f1649,plain,
( sQ256_spl
| ~ p204(sK1_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1647]) ).
fof(f1650,plain,
( ~ sQ30_spl
| sQ256_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f1600,f1644,f1647,f286]) ).
fof(f1651,definition,
( sQ257_spl
<=> sP8_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1652,plain,
( ~ sQ257_spl
| sP8_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1651]) ).
fof(f1654,definition,
( sQ258_spl
<=> p204(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1655,plain,
( ~ sQ258_spl
| p204(sK51_skl) ),
inference(component_clause,[status(thm)],[f1654]) ).
fof(f1656,plain,
( sQ258_spl
| ~ p204(sK51_skl) ),
inference(component_clause,[status(thm)],[f1654]) ).
fof(f1657,plain,
( sQ258_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f1601,f1651,f1654]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ258_spl
| ~ sP8_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1655,f181]) ).
fof(f1659,plain,
( ~ sQ257_spl
| ~ sQ258_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1652,f1658]) ).
fof(f1660,plain,
( ~ sQ257_spl
| ~ sQ258_spl ),
inference(contradiction_clause,[status(thm)],[f1659]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ57_spl
| ~ sP9_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f657,f186]) ).
fof(f1662,plain,
( ~ sQ26_spl
| ~ sQ57_spl
| ~ p504(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f659,f65]) ).
fof(f1663,plain,
( ~ sQ26_spl
| ~ sQ57_spl
| ~ sQ6_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1662,f1320,f207,f652,f271]) ).
fof(f1664,plain,
( p203(sK51_skl)
| sP9_prd(sK51_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f187,f131]) ).
fof(f1665,definition,
( sQ259_spl
<=> sP9_prd(sK51_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1666,plain,
( ~ sQ259_spl
| sP9_prd(sK51_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1665]) ).
fof(f1668,definition,
( sQ260_spl
<=> p203(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1669,plain,
( ~ sQ260_spl
| p203(sK51_skl) ),
inference(component_clause,[status(thm)],[f1668]) ).
fof(f1670,plain,
( sQ260_spl
| ~ p203(sK51_skl) ),
inference(component_clause,[status(thm)],[f1668]) ).
fof(f1671,plain,
( sQ260_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f1664,f1665,f1668]) ).
fof(f1672,plain,
( ~ sQ34_spl
| r1(sK51_skl,sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f356,f140]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ260_spl
| ~ sP9_prd(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f1669,f186]) ).
fof(f1674,plain,
( ~ sQ259_spl
| ~ sQ260_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1666,f1673]) ).
fof(f1675,plain,
( ~ sQ259_spl
| ~ sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f1674]) ).
fof(f1676,plain,
( ~ sQ10_spl
| ~ sQ31_spl
| p405(sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f221]) ).
fof(f1683,plain,
( ~ sQ31_spl
| p203(sK2_skl(sK51_skl))
| sP9_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f293,f187]) ).
fof(f1684,plain,
( ~ sQ31_spl
| p204(sK2_skl(sK51_skl))
| sP8_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f293,f182]) ).
fof(f1685,plain,
( ~ sQ31_spl
| p304(sK2_skl(sK51_skl))
| sP7_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f293,f177]) ).
fof(f1686,plain,
( ~ sQ31_spl
| p304(sK2_skl(sK51_skl))
| sP6_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f293,f172]) ).
fof(f1687,plain,
( ~ sQ31_spl
| p205(sK2_skl(sK51_skl))
| sP5_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f293,f167]) ).
fof(f1688,plain,
( ~ sQ31_spl
| p305(sK2_skl(sK51_skl))
| sP4_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f293,f162]) ).
fof(f1689,plain,
( ~ sQ31_spl
| p405(sK2_skl(sK51_skl))
| sP3_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f293,f157]) ).
fof(f1690,plain,
( ~ sQ31_spl
| p305(sK2_skl(sK51_skl))
| sP2_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f293,f152]) ).
fof(f1691,plain,
( ~ sQ31_spl
| p405(sK2_skl(sK51_skl))
| sP1_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f293,f147]) ).
fof(f1693,definition,
( sQ261_spl
<=> sP9_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( ~ sQ261_spl
| sP9_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1693]) ).
fof(f1696,definition,
( sQ262_spl
<=> p203(sK2_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( ~ sQ262_spl
| p203(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1698,plain,
( sQ262_spl
| ~ p203(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1699,plain,
( ~ sQ31_spl
| sQ262_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f1683,f1693,f1696,f292]) ).
fof(f1700,definition,
( sQ263_spl
<=> sP8_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
( ~ sQ263_spl
| sP8_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1702,plain,
( sQ263_spl
| ~ sP8_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1703,definition,
( sQ264_spl
<=> p204(sK2_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
( ~ sQ264_spl
| p204(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1703]) ).
fof(f1705,plain,
( sQ264_spl
| ~ p204(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1703]) ).
fof(f1706,plain,
( ~ sQ31_spl
| sQ264_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f1684,f1700,f1703,f292]) ).
fof(f1707,definition,
( sQ265_spl
<=> sP7_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1708,plain,
( ~ sQ265_spl
| sP7_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1707]) ).
fof(f1709,plain,
( sQ265_spl
| ~ sP7_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1707]) ).
fof(f1710,definition,
( sQ266_spl
<=> p304(sK2_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1711,plain,
( ~ sQ266_spl
| p304(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1710]) ).
fof(f1712,plain,
( sQ266_spl
| ~ p304(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1710]) ).
fof(f1713,plain,
( ~ sQ31_spl
| sQ266_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f1685,f1707,f1710,f292]) ).
fof(f1714,definition,
( sQ267_spl
<=> sP6_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1715,plain,
( ~ sQ267_spl
| sP6_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1714]) ).
fof(f1717,plain,
( ~ sQ31_spl
| sQ266_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f1686,f1714,f1710,f292]) ).
fof(f1718,definition,
( sQ268_spl
<=> sP5_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1719,plain,
( ~ sQ268_spl
| sP5_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1718]) ).
fof(f1720,plain,
( sQ268_spl
| ~ sP5_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1718]) ).
fof(f1721,definition,
( sQ269_spl
<=> p205(sK2_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1722,plain,
( ~ sQ269_spl
| p205(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1721]) ).
fof(f1723,plain,
( sQ269_spl
| ~ p205(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1721]) ).
fof(f1724,plain,
( ~ sQ31_spl
| sQ269_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f1687,f1718,f1721,f292]) ).
fof(f1725,definition,
( sQ270_spl
<=> sP4_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ270_spl
| sP4_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1727,plain,
( sQ270_spl
| ~ sP4_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1728,definition,
( sQ271_spl
<=> p305(sK2_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1729,plain,
( ~ sQ271_spl
| p305(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1728]) ).
fof(f1730,plain,
( sQ271_spl
| ~ p305(sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1728]) ).
fof(f1731,plain,
( ~ sQ31_spl
| sQ271_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f1688,f1725,f1728,f292]) ).
fof(f1732,definition,
( sQ272_spl
<=> sP3_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
( ~ sQ272_spl
| sP3_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1732]) ).
fof(f1734,plain,
( sQ272_spl
| ~ sP3_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1732]) ).
fof(f1735,plain,
( ~ sQ31_spl
| sQ157_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f1689,f1732,f1182,f292]) ).
fof(f1736,definition,
( sQ273_spl
<=> sP2_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1737,plain,
( ~ sQ273_spl
| sP2_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1736]) ).
fof(f1739,plain,
( ~ sQ31_spl
| sQ271_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f1690,f1736,f1728,f292]) ).
fof(f1740,definition,
( sQ274_spl
<=> sP1_prd(sK2_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
( ~ sQ274_spl
| sP1_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1740]) ).
fof(f1742,plain,
( sQ274_spl
| ~ sP1_prd(sK2_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1740]) ).
fof(f1743,plain,
( ~ sQ31_spl
| sQ157_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f1691,f1740,f1182,f292]) ).
fof(f1745,plain,
( ~ sQ10_spl
| ~ sQ33_spl
| p405(sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f303,f221]) ).
fof(f1752,plain,
( ~ sQ33_spl
| p203(sK4_skl(sK51_skl))
| sP9_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f303,f187]) ).
fof(f1753,plain,
( ~ sQ33_spl
| p204(sK4_skl(sK51_skl))
| sP8_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f303,f182]) ).
fof(f1754,plain,
( ~ sQ33_spl
| p304(sK4_skl(sK51_skl))
| sP7_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f303,f177]) ).
fof(f1755,plain,
( ~ sQ33_spl
| p304(sK4_skl(sK51_skl))
| sP6_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f303,f172]) ).
fof(f1756,plain,
( ~ sQ33_spl
| p205(sK4_skl(sK51_skl))
| sP5_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f303,f167]) ).
fof(f1757,plain,
( ~ sQ33_spl
| p305(sK4_skl(sK51_skl))
| sP4_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f303,f162]) ).
fof(f1758,plain,
( ~ sQ33_spl
| p405(sK4_skl(sK51_skl))
| sP3_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f303,f157]) ).
fof(f1759,plain,
( ~ sQ33_spl
| p305(sK4_skl(sK51_skl))
| sP2_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f303,f152]) ).
fof(f1760,plain,
( ~ sQ33_spl
| p405(sK4_skl(sK51_skl))
| sP1_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f303,f147]) ).
fof(f1762,definition,
( sQ275_spl
<=> sP9_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1763,plain,
( ~ sQ275_spl
| sP9_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1762]) ).
fof(f1765,definition,
( sQ276_spl
<=> p203(sK4_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
( ~ sQ276_spl
| p203(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1765]) ).
fof(f1767,plain,
( sQ276_spl
| ~ p203(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1765]) ).
fof(f1768,plain,
( ~ sQ33_spl
| sQ276_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f1752,f1762,f1765,f302]) ).
fof(f1769,definition,
( sQ277_spl
<=> sP8_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1770,plain,
( ~ sQ277_spl
| sP8_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1769]) ).
fof(f1771,plain,
( sQ277_spl
| ~ sP8_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1769]) ).
fof(f1772,definition,
( sQ278_spl
<=> p204(sK4_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1773,plain,
( ~ sQ278_spl
| p204(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1772]) ).
fof(f1774,plain,
( sQ278_spl
| ~ p204(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1772]) ).
fof(f1775,plain,
( ~ sQ33_spl
| sQ278_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f1753,f1769,f1772,f302]) ).
fof(f1776,definition,
( sQ279_spl
<=> sP7_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f1777,plain,
( ~ sQ279_spl
| sP7_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1776]) ).
fof(f1778,plain,
( sQ279_spl
| ~ sP7_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1776]) ).
fof(f1779,definition,
( sQ280_spl
<=> p304(sK4_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1780,plain,
( ~ sQ280_spl
| p304(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1779]) ).
fof(f1781,plain,
( sQ280_spl
| ~ p304(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1779]) ).
fof(f1782,plain,
( ~ sQ33_spl
| sQ280_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f1754,f1776,f1779,f302]) ).
fof(f1783,definition,
( sQ281_spl
<=> sP6_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1784,plain,
( ~ sQ281_spl
| sP6_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1783]) ).
fof(f1786,plain,
( ~ sQ33_spl
| sQ280_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f1755,f1783,f1779,f302]) ).
fof(f1787,definition,
( sQ282_spl
<=> sP5_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f1788,plain,
( ~ sQ282_spl
| sP5_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1787]) ).
fof(f1790,definition,
( sQ283_spl
<=> p205(sK4_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f1791,plain,
( ~ sQ283_spl
| p205(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1790]) ).
fof(f1792,plain,
( sQ283_spl
| ~ p205(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1790]) ).
fof(f1793,plain,
( ~ sQ33_spl
| sQ283_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f1756,f1787,f1790,f302]) ).
fof(f1794,definition,
( sQ284_spl
<=> sP4_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1795,plain,
( ~ sQ284_spl
| sP4_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1794]) ).
fof(f1796,plain,
( sQ284_spl
| ~ sP4_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1794]) ).
fof(f1797,definition,
( sQ285_spl
<=> p305(sK4_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1798,plain,
( ~ sQ285_spl
| p305(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1797]) ).
fof(f1799,plain,
( sQ285_spl
| ~ p305(sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1797]) ).
fof(f1800,plain,
( ~ sQ33_spl
| sQ285_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f1757,f1794,f1797,f302]) ).
fof(f1801,definition,
( sQ286_spl
<=> sP3_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1802,plain,
( ~ sQ286_spl
| sP3_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1801]) ).
fof(f1803,plain,
( sQ286_spl
| ~ sP3_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1801]) ).
fof(f1804,plain,
( ~ sQ33_spl
| sQ153_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f1758,f1801,f1168,f302]) ).
fof(f1805,definition,
( sQ287_spl
<=> sP2_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f1806,plain,
( ~ sQ287_spl
| sP2_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1805]) ).
fof(f1807,plain,
( sQ287_spl
| ~ sP2_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1805]) ).
fof(f1808,plain,
( ~ sQ33_spl
| sQ285_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f1759,f1805,f1797,f302]) ).
fof(f1809,definition,
( sQ288_spl
<=> sP1_prd(sK4_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1810,plain,
( ~ sQ288_spl
| sP1_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1809]) ).
fof(f1811,plain,
( sQ288_spl
| ~ sP1_prd(sK4_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1809]) ).
fof(f1812,plain,
( ~ sQ33_spl
| sQ153_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f1760,f1809,f1168,f302]) ).
fof(f1814,plain,
( ~ sQ10_spl
| ~ sQ37_spl
| p405(sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f405,f221]) ).
fof(f1821,plain,
( ~ sQ37_spl
| p203(sK8_skl(sK51_skl))
| sP9_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f405,f187]) ).
fof(f1822,plain,
( ~ sQ37_spl
| p204(sK8_skl(sK51_skl))
| sP8_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f405,f182]) ).
fof(f1823,plain,
( ~ sQ37_spl
| p304(sK8_skl(sK51_skl))
| sP7_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f405,f177]) ).
fof(f1824,plain,
( ~ sQ37_spl
| p304(sK8_skl(sK51_skl))
| sP6_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f405,f172]) ).
fof(f1825,plain,
( ~ sQ37_spl
| p205(sK8_skl(sK51_skl))
| sP5_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f405,f167]) ).
fof(f1826,plain,
( ~ sQ37_spl
| p305(sK8_skl(sK51_skl))
| sP4_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f405,f162]) ).
fof(f1827,plain,
( ~ sQ37_spl
| p405(sK8_skl(sK51_skl))
| sP3_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f405,f157]) ).
fof(f1828,plain,
( ~ sQ37_spl
| p305(sK8_skl(sK51_skl))
| sP2_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f405,f152]) ).
fof(f1829,plain,
( ~ sQ37_spl
| p405(sK8_skl(sK51_skl))
| sP1_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f405,f147]) ).
fof(f1831,definition,
( sQ289_spl
<=> sP9_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1832,plain,
( ~ sQ289_spl
| sP9_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1831]) ).
fof(f1834,definition,
( sQ290_spl
<=> p203(sK8_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1835,plain,
( ~ sQ290_spl
| p203(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1834]) ).
fof(f1836,plain,
( sQ290_spl
| ~ p203(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1834]) ).
fof(f1837,plain,
( ~ sQ37_spl
| sQ290_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f1821,f1831,f1834,f404]) ).
fof(f1838,definition,
( sQ291_spl
<=> sP8_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1839,plain,
( ~ sQ291_spl
| sP8_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1838]) ).
fof(f1841,definition,
( sQ292_spl
<=> p204(sK8_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1842,plain,
( ~ sQ292_spl
| p204(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1841]) ).
fof(f1843,plain,
( sQ292_spl
| ~ p204(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1841]) ).
fof(f1844,plain,
( ~ sQ37_spl
| sQ292_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f1822,f1838,f1841,f404]) ).
fof(f1845,definition,
( sQ293_spl
<=> sP7_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( ~ sQ293_spl
| sP7_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1845]) ).
fof(f1847,plain,
( sQ293_spl
| ~ sP7_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1845]) ).
fof(f1848,definition,
( sQ294_spl
<=> p304(sK8_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1849,plain,
( ~ sQ294_spl
| p304(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1848]) ).
fof(f1850,plain,
( sQ294_spl
| ~ p304(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1848]) ).
fof(f1851,plain,
( ~ sQ37_spl
| sQ294_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f1823,f1845,f1848,f404]) ).
fof(f1852,definition,
( sQ295_spl
<=> sP6_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1853,plain,
( ~ sQ295_spl
| sP6_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1852]) ).
fof(f1855,plain,
( ~ sQ37_spl
| sQ294_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f1824,f1852,f1848,f404]) ).
fof(f1856,definition,
( sQ296_spl
<=> sP5_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1857,plain,
( ~ sQ296_spl
| sP5_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1856]) ).
fof(f1858,plain,
( sQ296_spl
| ~ sP5_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1856]) ).
fof(f1859,definition,
( sQ297_spl
<=> p205(sK8_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1860,plain,
( ~ sQ297_spl
| p205(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1859]) ).
fof(f1861,plain,
( sQ297_spl
| ~ p205(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1859]) ).
fof(f1862,plain,
( ~ sQ37_spl
| sQ297_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f1825,f1856,f1859,f404]) ).
fof(f1863,definition,
( sQ298_spl
<=> sP4_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1864,plain,
( ~ sQ298_spl
| sP4_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1865,plain,
( sQ298_spl
| ~ sP4_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1866,definition,
( sQ299_spl
<=> p305(sK8_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f1867,plain,
( ~ sQ299_spl
| p305(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1868,plain,
( sQ299_spl
| ~ p305(sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1869,plain,
( ~ sQ37_spl
| sQ299_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f1826,f1863,f1866,f404]) ).
fof(f1870,definition,
( sQ300_spl
<=> sP3_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1871,plain,
( ~ sQ300_spl
| sP3_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1870]) ).
fof(f1872,plain,
( sQ300_spl
| ~ sP3_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1870]) ).
fof(f1873,plain,
( ~ sQ37_spl
| sQ147_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f1827,f1870,f1147,f404]) ).
fof(f1874,definition,
( sQ301_spl
<=> sP2_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1875,plain,
( ~ sQ301_spl
| sP2_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1874]) ).
fof(f1876,plain,
( sQ301_spl
| ~ sP2_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1874]) ).
fof(f1877,plain,
( ~ sQ37_spl
| sQ299_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f1828,f1874,f1866,f404]) ).
fof(f1878,definition,
( sQ302_spl
<=> sP1_prd(sK8_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1879,plain,
( ~ sQ302_spl
| sP1_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1878]) ).
fof(f1880,plain,
( sQ302_spl
| ~ sP1_prd(sK8_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1878]) ).
fof(f1881,plain,
( ~ sQ37_spl
| sQ147_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f1829,f1878,f1147,f404]) ).
fof(f1883,plain,
( ~ sQ38_spl
| r1(sK51_skl,sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f423,f145]) ).
fof(f1884,plain,
( ~ sQ10_spl
| ~ sQ43_spl
| p405(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f221]) ).
fof(f1885,plain,
( ~ sQ20_spl
| ~ sQ43_spl
| p205(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f253]) ).
fof(f1886,plain,
( ~ sQ21_spl
| ~ sQ43_spl
| p204(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f256]) ).
fof(f1887,plain,
( ~ sQ16_spl
| ~ sQ43_spl
| p304(sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f515,f240]) ).
fof(f1891,plain,
( ~ sQ43_spl
| p203(sK14_skl(sK51_skl))
| sP9_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f515,f187]) ).
fof(f1892,plain,
( ~ sQ43_spl
| p204(sK14_skl(sK51_skl))
| sP8_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f515,f182]) ).
fof(f1893,plain,
( ~ sQ43_spl
| p304(sK14_skl(sK51_skl))
| sP7_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f515,f177]) ).
fof(f1894,plain,
( ~ sQ43_spl
| p304(sK14_skl(sK51_skl))
| sP6_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f515,f172]) ).
fof(f1895,plain,
( ~ sQ43_spl
| p205(sK14_skl(sK51_skl))
| sP5_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f515,f167]) ).
fof(f1896,plain,
( ~ sQ43_spl
| p305(sK14_skl(sK51_skl))
| sP4_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f515,f162]) ).
fof(f1897,plain,
( ~ sQ43_spl
| p405(sK14_skl(sK51_skl))
| sP3_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f515,f157]) ).
fof(f1898,plain,
( ~ sQ43_spl
| p305(sK14_skl(sK51_skl))
| sP2_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f515,f152]) ).
fof(f1899,plain,
( ~ sQ43_spl
| p405(sK14_skl(sK51_skl))
| sP1_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f515,f147]) ).
fof(f1901,definition,
( sQ303_spl
<=> sP9_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f1902,plain,
( ~ sQ303_spl
| sP9_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1901]) ).
fof(f1904,definition,
( sQ304_spl
<=> p203(sK14_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1905,plain,
( ~ sQ304_spl
| p203(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1904]) ).
fof(f1906,plain,
( sQ304_spl
| ~ p203(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1904]) ).
fof(f1907,plain,
( ~ sQ43_spl
| sQ304_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f1891,f1901,f1904,f514]) ).
fof(f1908,definition,
( sQ305_spl
<=> sP8_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1909,plain,
( ~ sQ305_spl
| sP8_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1910,plain,
( sQ305_spl
| ~ sP8_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1911,definition,
( sQ306_spl
<=> p204(sK14_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f1912,plain,
( ~ sQ306_spl
| p204(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1911]) ).
fof(f1913,plain,
( sQ306_spl
| ~ p204(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1911]) ).
fof(f1914,plain,
( ~ sQ43_spl
| sQ306_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f1892,f1908,f1911,f514]) ).
fof(f1915,definition,
( sQ307_spl
<=> sP7_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f1916,plain,
( ~ sQ307_spl
| sP7_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1915]) ).
fof(f1917,plain,
( sQ307_spl
| ~ sP7_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1915]) ).
fof(f1918,definition,
( sQ308_spl
<=> p304(sK14_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f1919,plain,
( ~ sQ308_spl
| p304(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1918]) ).
fof(f1920,plain,
( sQ308_spl
| ~ p304(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1918]) ).
fof(f1921,plain,
( ~ sQ43_spl
| sQ308_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f1893,f1915,f1918,f514]) ).
fof(f1922,definition,
( sQ309_spl
<=> sP6_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( ~ sQ309_spl
| sP6_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1922]) ).
fof(f1925,plain,
( ~ sQ43_spl
| sQ308_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f1894,f1922,f1918,f514]) ).
fof(f1926,definition,
( sQ310_spl
<=> sP5_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f1927,plain,
( ~ sQ310_spl
| sP5_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1926]) ).
fof(f1929,definition,
( sQ311_spl
<=> p205(sK14_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f1930,plain,
( ~ sQ311_spl
| p205(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1929]) ).
fof(f1931,plain,
( sQ311_spl
| ~ p205(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1929]) ).
fof(f1932,plain,
( ~ sQ43_spl
| sQ311_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f1895,f1926,f1929,f514]) ).
fof(f1933,definition,
( sQ312_spl
<=> sP4_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
( ~ sQ312_spl
| sP4_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1933]) ).
fof(f1935,plain,
( sQ312_spl
| ~ sP4_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1933]) ).
fof(f1936,definition,
( sQ313_spl
<=> p305(sK14_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f1937,plain,
( ~ sQ313_spl
| p305(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1936]) ).
fof(f1938,plain,
( sQ313_spl
| ~ p305(sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1936]) ).
fof(f1939,plain,
( ~ sQ43_spl
| sQ313_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f1896,f1933,f1936,f514]) ).
fof(f1940,definition,
( sQ314_spl
<=> sP3_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f1941,plain,
( ~ sQ314_spl
| sP3_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1940]) ).
fof(f1942,plain,
( sQ314_spl
| ~ sP3_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1940]) ).
fof(f1943,plain,
( ~ sQ43_spl
| sQ139_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f1897,f1940,f1119,f514]) ).
fof(f1944,definition,
( sQ315_spl
<=> sP2_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( ~ sQ315_spl
| sP2_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1946,plain,
( sQ315_spl
| ~ sP2_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1947,plain,
( ~ sQ43_spl
| sQ313_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f1898,f1944,f1936,f514]) ).
fof(f1948,definition,
( sQ316_spl
<=> sP1_prd(sK14_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f1949,plain,
( ~ sQ316_spl
| sP1_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1948]) ).
fof(f1950,plain,
( sQ316_spl
| ~ sP1_prd(sK14_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1948]) ).
fof(f1951,plain,
( ~ sQ43_spl
| sQ139_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f1899,f1948,f1119,f514]) ).
fof(f1953,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| p405(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f221]) ).
fof(f1954,plain,
( ~ sQ20_spl
| ~ sQ50_spl
| p205(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f253]) ).
fof(f1955,plain,
( ~ sQ21_spl
| ~ sQ50_spl
| p204(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f256]) ).
fof(f1956,plain,
( ~ sQ16_spl
| ~ sQ50_spl
| p304(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f240]) ).
fof(f1960,plain,
( ~ sQ50_spl
| p203(sK21_skl(sK51_skl))
| sP9_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f570,f187]) ).
fof(f1961,plain,
( ~ sQ50_spl
| p204(sK21_skl(sK51_skl))
| sP8_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f570,f182]) ).
fof(f1962,plain,
( ~ sQ50_spl
| p304(sK21_skl(sK51_skl))
| sP7_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f570,f177]) ).
fof(f1963,plain,
( ~ sQ50_spl
| p304(sK21_skl(sK51_skl))
| sP6_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f570,f172]) ).
fof(f1964,plain,
( ~ sQ50_spl
| p205(sK21_skl(sK51_skl))
| sP5_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f570,f167]) ).
fof(f1965,plain,
( ~ sQ50_spl
| p305(sK21_skl(sK51_skl))
| sP4_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f570,f162]) ).
fof(f1966,plain,
( ~ sQ50_spl
| p405(sK21_skl(sK51_skl))
| sP3_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f570,f157]) ).
fof(f1967,plain,
( ~ sQ50_spl
| p305(sK21_skl(sK51_skl))
| sP2_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f570,f152]) ).
fof(f1968,plain,
( ~ sQ50_spl
| p405(sK21_skl(sK51_skl))
| sP1_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f570,f147]) ).
fof(f1970,definition,
( sQ317_spl
<=> sP9_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f1971,plain,
( ~ sQ317_spl
| sP9_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1970]) ).
fof(f1973,definition,
( sQ318_spl
<=> p203(sK21_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f1974,plain,
( ~ sQ318_spl
| p203(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1973]) ).
fof(f1975,plain,
( sQ318_spl
| ~ p203(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1973]) ).
fof(f1976,plain,
( ~ sQ50_spl
| sQ318_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f1960,f1970,f1973,f569]) ).
fof(f1977,definition,
( sQ319_spl
<=> sP8_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f1978,plain,
( ~ sQ319_spl
| sP8_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1977]) ).
fof(f1980,definition,
( sQ320_spl
<=> p204(sK21_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f1981,plain,
( ~ sQ320_spl
| p204(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1980]) ).
fof(f1982,plain,
( sQ320_spl
| ~ p204(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1980]) ).
fof(f1983,plain,
( ~ sQ50_spl
| sQ320_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f1961,f1977,f1980,f569]) ).
fof(f1984,definition,
( sQ321_spl
<=> sP7_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f1985,plain,
( ~ sQ321_spl
| sP7_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1984]) ).
fof(f1987,definition,
( sQ322_spl
<=> p304(sK21_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f1988,plain,
( ~ sQ322_spl
| p304(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1987]) ).
fof(f1989,plain,
( sQ322_spl
| ~ p304(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1987]) ).
fof(f1990,plain,
( ~ sQ50_spl
| sQ322_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f1962,f1984,f1987,f569]) ).
fof(f1991,definition,
( sQ323_spl
<=> sP6_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f1992,plain,
( ~ sQ323_spl
| sP6_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1991]) ).
fof(f1994,plain,
( ~ sQ50_spl
| sQ322_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f1963,f1991,f1987,f569]) ).
fof(f1995,definition,
( sQ324_spl
<=> sP5_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f1996,plain,
( ~ sQ324_spl
| sP5_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f1995]) ).
fof(f1998,definition,
( sQ325_spl
<=> p205(sK21_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f1999,plain,
( ~ sQ325_spl
| p205(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1998]) ).
fof(f2000,plain,
( sQ325_spl
| ~ p205(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1998]) ).
fof(f2001,plain,
( ~ sQ50_spl
| sQ325_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f1964,f1995,f1998,f569]) ).
fof(f2002,definition,
( sQ326_spl
<=> sP4_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2003,plain,
( ~ sQ326_spl
| sP4_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2002]) ).
fof(f2004,plain,
( sQ326_spl
| ~ sP4_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2002]) ).
fof(f2005,definition,
( sQ327_spl
<=> p305(sK21_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2006,plain,
( ~ sQ327_spl
| p305(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2005]) ).
fof(f2007,plain,
( sQ327_spl
| ~ p305(sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2005]) ).
fof(f2008,plain,
( ~ sQ50_spl
| sQ327_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f1965,f2002,f2005,f569]) ).
fof(f2009,definition,
( sQ328_spl
<=> sP3_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2010,plain,
( ~ sQ328_spl
| sP3_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2009]) ).
fof(f2011,plain,
( sQ328_spl
| ~ sP3_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2009]) ).
fof(f2012,plain,
( ~ sQ50_spl
| sQ131_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f1966,f2009,f1091,f569]) ).
fof(f2013,definition,
( sQ329_spl
<=> sP2_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2014,plain,
( ~ sQ329_spl
| sP2_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2013]) ).
fof(f2016,plain,
( ~ sQ50_spl
| sQ327_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f1967,f2013,f2005,f569]) ).
fof(f2017,definition,
( sQ330_spl
<=> sP1_prd(sK21_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f2018,plain,
( ~ sQ330_spl
| sP1_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2017]) ).
fof(f2019,plain,
( sQ330_spl
| ~ sP1_prd(sK21_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2017]) ).
fof(f2020,plain,
( ~ sQ50_spl
| sQ131_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f1968,f2017,f1091,f569]) ).
fof(f2022,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| p405(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f221]) ).
fof(f2023,plain,
( ~ sQ20_spl
| ~ sQ53_spl
| p205(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f253]) ).
fof(f2024,plain,
( ~ sQ21_spl
| ~ sQ53_spl
| p204(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f256]) ).
fof(f2025,plain,
( ~ sQ16_spl
| ~ sQ53_spl
| p304(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f240]) ).
fof(f2029,plain,
( ~ sQ53_spl
| p203(sK24_skl(sK51_skl))
| sP9_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f609,f187]) ).
fof(f2030,plain,
( ~ sQ53_spl
| p204(sK24_skl(sK51_skl))
| sP8_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f609,f182]) ).
fof(f2031,plain,
( ~ sQ53_spl
| p304(sK24_skl(sK51_skl))
| sP7_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f609,f177]) ).
fof(f2032,plain,
( ~ sQ53_spl
| p304(sK24_skl(sK51_skl))
| sP6_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f609,f172]) ).
fof(f2033,plain,
( ~ sQ53_spl
| p205(sK24_skl(sK51_skl))
| sP5_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f609,f167]) ).
fof(f2034,plain,
( ~ sQ53_spl
| p305(sK24_skl(sK51_skl))
| sP4_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f609,f162]) ).
fof(f2035,plain,
( ~ sQ53_spl
| p405(sK24_skl(sK51_skl))
| sP3_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f609,f157]) ).
fof(f2036,plain,
( ~ sQ53_spl
| p305(sK24_skl(sK51_skl))
| sP2_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f609,f152]) ).
fof(f2037,plain,
( ~ sQ53_spl
| p405(sK24_skl(sK51_skl))
| sP1_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f609,f147]) ).
fof(f2039,definition,
( sQ331_spl
<=> sP9_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f2040,plain,
( ~ sQ331_spl
| sP9_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2039]) ).
fof(f2042,definition,
( sQ332_spl
<=> p203(sK24_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f2043,plain,
( ~ sQ332_spl
| p203(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2042]) ).
fof(f2044,plain,
( sQ332_spl
| ~ p203(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2042]) ).
fof(f2045,plain,
( ~ sQ53_spl
| sQ332_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f2029,f2039,f2042,f608]) ).
fof(f2046,definition,
( sQ333_spl
<=> sP8_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f2047,plain,
( ~ sQ333_spl
| sP8_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2046]) ).
fof(f2049,definition,
( sQ334_spl
<=> p204(sK24_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f2050,plain,
( ~ sQ334_spl
| p204(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2049]) ).
fof(f2051,plain,
( sQ334_spl
| ~ p204(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2049]) ).
fof(f2052,plain,
( ~ sQ53_spl
| sQ334_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f2030,f2046,f2049,f608]) ).
fof(f2053,definition,
( sQ335_spl
<=> sP7_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f2054,plain,
( ~ sQ335_spl
| sP7_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2053]) ).
fof(f2056,definition,
( sQ336_spl
<=> p304(sK24_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f2057,plain,
( ~ sQ336_spl
| p304(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2056]) ).
fof(f2058,plain,
( sQ336_spl
| ~ p304(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2056]) ).
fof(f2059,plain,
( ~ sQ53_spl
| sQ336_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f2031,f2053,f2056,f608]) ).
fof(f2060,definition,
( sQ337_spl
<=> sP6_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f2061,plain,
( ~ sQ337_spl
| sP6_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2060]) ).
fof(f2063,plain,
( ~ sQ53_spl
| sQ336_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f2032,f2060,f2056,f608]) ).
fof(f2064,definition,
( sQ338_spl
<=> sP5_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f2065,plain,
( ~ sQ338_spl
| sP5_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2064]) ).
fof(f2067,definition,
( sQ339_spl
<=> p205(sK24_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f2068,plain,
( ~ sQ339_spl
| p205(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2067]) ).
fof(f2069,plain,
( sQ339_spl
| ~ p205(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2067]) ).
fof(f2070,plain,
( ~ sQ53_spl
| sQ339_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f2033,f2064,f2067,f608]) ).
fof(f2071,definition,
( sQ340_spl
<=> sP4_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f2072,plain,
( ~ sQ340_spl
| sP4_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2071]) ).
fof(f2074,definition,
( sQ341_spl
<=> p305(sK24_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f2075,plain,
( ~ sQ341_spl
| p305(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2074]) ).
fof(f2076,plain,
( sQ341_spl
| ~ p305(sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2074]) ).
fof(f2077,plain,
( ~ sQ53_spl
| sQ341_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f2034,f2071,f2074,f608]) ).
fof(f2078,definition,
( sQ342_spl
<=> sP3_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f2079,plain,
( ~ sQ342_spl
| sP3_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2078]) ).
fof(f2080,plain,
( sQ342_spl
| ~ sP3_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2078]) ).
fof(f2081,plain,
( ~ sQ53_spl
| sQ125_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f2035,f2078,f1070,f608]) ).
fof(f2082,definition,
( sQ343_spl
<=> sP2_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f2083,plain,
( ~ sQ343_spl
| sP2_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2082]) ).
fof(f2085,plain,
( ~ sQ53_spl
| sQ341_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f2036,f2082,f2074,f608]) ).
fof(f2086,definition,
( sQ344_spl
<=> sP1_prd(sK24_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f2087,plain,
( ~ sQ344_spl
| sP1_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2086]) ).
fof(f2088,plain,
( sQ344_spl
| ~ sP1_prd(sK24_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2086]) ).
fof(f2089,plain,
( ~ sQ53_spl
| sQ125_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f2037,f2086,f1070,f608]) ).
fof(f2091,plain,
( ~ sQ10_spl
| ~ sQ56_spl
| p405(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f221]) ).
fof(f2092,plain,
( ~ sQ20_spl
| ~ sQ56_spl
| p205(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f253]) ).
fof(f2093,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| p204(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f256]) ).
fof(f2094,plain,
( ~ sQ16_spl
| ~ sQ56_spl
| p304(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f240]) ).
fof(f2098,plain,
( ~ sQ56_spl
| p203(sK29_skl(sK51_skl))
| sP9_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f642,f187]) ).
fof(f2099,plain,
( ~ sQ56_spl
| p204(sK29_skl(sK51_skl))
| sP8_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f642,f182]) ).
fof(f2100,plain,
( ~ sQ56_spl
| p304(sK29_skl(sK51_skl))
| sP7_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f642,f177]) ).
fof(f2101,plain,
( ~ sQ56_spl
| p304(sK29_skl(sK51_skl))
| sP6_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f642,f172]) ).
fof(f2102,plain,
( ~ sQ56_spl
| p205(sK29_skl(sK51_skl))
| sP5_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f642,f167]) ).
fof(f2103,plain,
( ~ sQ56_spl
| p305(sK29_skl(sK51_skl))
| sP4_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f642,f162]) ).
fof(f2104,plain,
( ~ sQ56_spl
| p405(sK29_skl(sK51_skl))
| sP3_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f642,f157]) ).
fof(f2105,plain,
( ~ sQ56_spl
| p305(sK29_skl(sK51_skl))
| sP2_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f642,f152]) ).
fof(f2106,plain,
( ~ sQ56_spl
| p405(sK29_skl(sK51_skl))
| sP1_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f642,f147]) ).
fof(f2108,definition,
( sQ345_spl
<=> sP9_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f2109,plain,
( ~ sQ345_spl
| sP9_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2108]) ).
fof(f2111,definition,
( sQ346_spl
<=> p203(sK29_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f2112,plain,
( ~ sQ346_spl
| p203(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2111]) ).
fof(f2113,plain,
( sQ346_spl
| ~ p203(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2111]) ).
fof(f2114,plain,
( ~ sQ56_spl
| sQ346_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f2098,f2108,f2111,f641]) ).
fof(f2115,definition,
( sQ347_spl
<=> sP8_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f2116,plain,
( ~ sQ347_spl
| sP8_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2115]) ).
fof(f2118,definition,
( sQ348_spl
<=> p204(sK29_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f2119,plain,
( ~ sQ348_spl
| p204(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2118]) ).
fof(f2120,plain,
( sQ348_spl
| ~ p204(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2118]) ).
fof(f2121,plain,
( ~ sQ56_spl
| sQ348_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f2099,f2115,f2118,f641]) ).
fof(f2122,definition,
( sQ349_spl
<=> sP7_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f2123,plain,
( ~ sQ349_spl
| sP7_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2122]) ).
fof(f2125,definition,
( sQ350_spl
<=> p304(sK29_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f2126,plain,
( ~ sQ350_spl
| p304(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2125]) ).
fof(f2127,plain,
( sQ350_spl
| ~ p304(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2125]) ).
fof(f2128,plain,
( ~ sQ56_spl
| sQ350_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f2100,f2122,f2125,f641]) ).
fof(f2129,definition,
( sQ351_spl
<=> sP6_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f2130,plain,
( ~ sQ351_spl
| sP6_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2129]) ).
fof(f2132,plain,
( ~ sQ56_spl
| sQ350_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f2101,f2129,f2125,f641]) ).
fof(f2133,definition,
( sQ352_spl
<=> sP5_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f2134,plain,
( ~ sQ352_spl
| sP5_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2133]) ).
fof(f2136,definition,
( sQ353_spl
<=> p205(sK29_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f2137,plain,
( ~ sQ353_spl
| p205(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2136]) ).
fof(f2138,plain,
( sQ353_spl
| ~ p205(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2136]) ).
fof(f2139,plain,
( ~ sQ56_spl
| sQ353_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f2102,f2133,f2136,f641]) ).
fof(f2140,definition,
( sQ354_spl
<=> sP4_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f2141,plain,
( ~ sQ354_spl
| sP4_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2140]) ).
fof(f2143,definition,
( sQ355_spl
<=> p305(sK29_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f2144,plain,
( ~ sQ355_spl
| p305(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2143]) ).
fof(f2145,plain,
( sQ355_spl
| ~ p305(sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2143]) ).
fof(f2146,plain,
( ~ sQ56_spl
| sQ355_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f2103,f2140,f2143,f641]) ).
fof(f2147,definition,
( sQ356_spl
<=> sP3_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f2148,plain,
( ~ sQ356_spl
| sP3_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2147]) ).
fof(f2149,plain,
( sQ356_spl
| ~ sP3_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2147]) ).
fof(f2150,plain,
( ~ sQ56_spl
| sQ119_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f2104,f2147,f1049,f641]) ).
fof(f2151,definition,
( sQ357_spl
<=> sP2_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f2152,plain,
( ~ sQ357_spl
| sP2_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2151]) ).
fof(f2154,plain,
( ~ sQ56_spl
| sQ355_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f2105,f2151,f2143,f641]) ).
fof(f2155,definition,
( sQ358_spl
<=> sP1_prd(sK29_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f2156,plain,
( ~ sQ358_spl
| sP1_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2155]) ).
fof(f2157,plain,
( sQ358_spl
| ~ sP1_prd(sK29_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2155]) ).
fof(f2158,plain,
( ~ sQ56_spl
| sQ119_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f2106,f2155,f1049,f641]) ).
fof(f2160,plain,
( ~ sQ10_spl
| ~ sQ34_spl
| p405(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1672,f221]) ).
fof(f2163,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| p304(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1672,f240]) ).
fof(f2164,plain,
( ~ sQ22_spl
| ~ sQ34_spl
| p203(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1672,f259]) ).
fof(f2165,plain,
( ~ sQ27_spl
| ~ sQ34_spl
| p103(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1672,f275]) ).
fof(f2166,plain,
( ~ sQ28_spl
| ~ sQ34_spl
| p102(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1672,f278]) ).
fof(f2167,plain,
( ~ sQ34_spl
| p203(sK5_skl(sK51_skl))
| sP9_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1672,f187]) ).
fof(f2168,plain,
( ~ sQ34_spl
| p204(sK5_skl(sK51_skl))
| sP8_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1672,f182]) ).
fof(f2169,plain,
( ~ sQ34_spl
| p304(sK5_skl(sK51_skl))
| sP7_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1672,f177]) ).
fof(f2170,plain,
( ~ sQ34_spl
| p304(sK5_skl(sK51_skl))
| sP6_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1672,f172]) ).
fof(f2171,plain,
( ~ sQ34_spl
| p205(sK5_skl(sK51_skl))
| sP5_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1672,f167]) ).
fof(f2172,plain,
( ~ sQ34_spl
| p305(sK5_skl(sK51_skl))
| sP4_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1672,f162]) ).
fof(f2173,plain,
( ~ sQ34_spl
| p405(sK5_skl(sK51_skl))
| sP3_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1672,f157]) ).
fof(f2174,plain,
( ~ sQ34_spl
| p305(sK5_skl(sK51_skl))
| sP2_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1672,f152]) ).
fof(f2175,plain,
( ~ sQ34_spl
| p405(sK5_skl(sK51_skl))
| sP1_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1672,f147]) ).
fof(f2177,definition,
( sQ359_spl
<=> sP9_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f2178,plain,
( ~ sQ359_spl
| sP9_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2177]) ).
fof(f2180,definition,
( sQ360_spl
<=> p203(sK5_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f2181,plain,
( ~ sQ360_spl
| p203(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2180]) ).
fof(f2182,plain,
( sQ360_spl
| ~ p203(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2180]) ).
fof(f2183,plain,
( ~ sQ34_spl
| sQ360_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f2167,f2177,f2180,f355]) ).
fof(f2184,definition,
( sQ361_spl
<=> sP8_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f2185,plain,
( ~ sQ361_spl
| sP8_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2186,plain,
( sQ361_spl
| ~ sP8_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2187,definition,
( sQ362_spl
<=> p204(sK5_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f2188,plain,
( ~ sQ362_spl
| p204(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2187]) ).
fof(f2189,plain,
( sQ362_spl
| ~ p204(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2187]) ).
fof(f2190,plain,
( ~ sQ34_spl
| sQ362_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f2168,f2184,f2187,f355]) ).
fof(f2191,definition,
( sQ363_spl
<=> sP7_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f2192,plain,
( ~ sQ363_spl
| sP7_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2191]) ).
fof(f2194,definition,
( sQ364_spl
<=> p304(sK5_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f2195,plain,
( ~ sQ364_spl
| p304(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2194]) ).
fof(f2196,plain,
( sQ364_spl
| ~ p304(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2194]) ).
fof(f2197,plain,
( ~ sQ34_spl
| sQ364_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f2169,f2191,f2194,f355]) ).
fof(f2198,definition,
( sQ365_spl
<=> sP6_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f2199,plain,
( ~ sQ365_spl
| sP6_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2198]) ).
fof(f2200,plain,
( sQ365_spl
| ~ sP6_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2198]) ).
fof(f2201,plain,
( ~ sQ34_spl
| sQ364_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f2170,f2198,f2194,f355]) ).
fof(f2202,definition,
( sQ366_spl
<=> sP5_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f2203,plain,
( ~ sQ366_spl
| sP5_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2202]) ).
fof(f2204,plain,
( sQ366_spl
| ~ sP5_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2202]) ).
fof(f2205,definition,
( sQ367_spl
<=> p205(sK5_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f2206,plain,
( ~ sQ367_spl
| p205(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2205]) ).
fof(f2207,plain,
( sQ367_spl
| ~ p205(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2205]) ).
fof(f2208,plain,
( ~ sQ34_spl
| sQ367_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f2171,f2202,f2205,f355]) ).
fof(f2209,definition,
( sQ368_spl
<=> sP4_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f2210,plain,
( ~ sQ368_spl
| sP4_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2209]) ).
fof(f2211,plain,
( sQ368_spl
| ~ sP4_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2209]) ).
fof(f2212,definition,
( sQ369_spl
<=> p305(sK5_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f2213,plain,
( ~ sQ369_spl
| p305(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2212]) ).
fof(f2214,plain,
( sQ369_spl
| ~ p305(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2212]) ).
fof(f2215,plain,
( ~ sQ34_spl
| sQ369_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f2172,f2209,f2212,f355]) ).
fof(f2216,definition,
( sQ370_spl
<=> sP3_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f2217,plain,
( ~ sQ370_spl
| sP3_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2216]) ).
fof(f2218,plain,
( sQ370_spl
| ~ sP3_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2216]) ).
fof(f2219,definition,
( sQ371_spl
<=> p405(sK5_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f2220,plain,
( ~ sQ371_spl
| p405(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2219]) ).
fof(f2221,plain,
( sQ371_spl
| ~ p405(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2219]) ).
fof(f2222,plain,
( ~ sQ34_spl
| sQ371_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f2173,f2216,f2219,f355]) ).
fof(f2223,definition,
( sQ372_spl
<=> sP2_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f2224,plain,
( ~ sQ372_spl
| sP2_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2223]) ).
fof(f2225,plain,
( sQ372_spl
| ~ sP2_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2223]) ).
fof(f2226,plain,
( ~ sQ34_spl
| sQ369_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f2174,f2223,f2212,f355]) ).
fof(f2227,definition,
( sQ373_spl
<=> sP1_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f2228,plain,
( ~ sQ373_spl
| sP1_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2227]) ).
fof(f2230,plain,
( ~ sQ34_spl
| sQ371_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f2175,f2227,f2219,f355]) ).
fof(f2232,plain,
( ~ sQ10_spl
| ~ sQ38_spl
| p405(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1883,f221]) ).
fof(f2233,plain,
( ~ sQ20_spl
| ~ sQ38_spl
| p205(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1883,f253]) ).
fof(f2235,plain,
( ~ sQ16_spl
| ~ sQ38_spl
| p304(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1883,f240]) ).
fof(f2236,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| p203(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1883,f259]) ).
fof(f2237,plain,
( ~ sQ27_spl
| ~ sQ38_spl
| p103(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1883,f275]) ).
fof(f2238,plain,
( ~ sQ28_spl
| ~ sQ38_spl
| p102(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1883,f278]) ).
fof(f2239,plain,
( ~ sQ38_spl
| p203(sK9_skl(sK51_skl))
| sP9_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1883,f187]) ).
fof(f2240,plain,
( ~ sQ38_spl
| p204(sK9_skl(sK51_skl))
| sP8_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1883,f182]) ).
fof(f2241,plain,
( ~ sQ38_spl
| p304(sK9_skl(sK51_skl))
| sP7_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1883,f177]) ).
fof(f2242,plain,
( ~ sQ38_spl
| p304(sK9_skl(sK51_skl))
| sP6_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1883,f172]) ).
fof(f2243,plain,
( ~ sQ38_spl
| p205(sK9_skl(sK51_skl))
| sP5_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1883,f167]) ).
fof(f2244,plain,
( ~ sQ38_spl
| p305(sK9_skl(sK51_skl))
| sP4_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1883,f162]) ).
fof(f2245,plain,
( ~ sQ38_spl
| p405(sK9_skl(sK51_skl))
| sP3_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1883,f157]) ).
fof(f2246,plain,
( ~ sQ38_spl
| p305(sK9_skl(sK51_skl))
| sP2_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1883,f152]) ).
fof(f2248,plain,
( ~ sQ38_spl
| p405(sK9_skl(sK51_skl))
| sP0_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f1883,f142]) ).
fof(f2249,definition,
( sQ374_spl
<=> sP9_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f2250,plain,
( ~ sQ374_spl
| sP9_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2249]) ).
fof(f2252,definition,
( sQ375_spl
<=> p203(sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f2253,plain,
( ~ sQ375_spl
| p203(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2252]) ).
fof(f2254,plain,
( sQ375_spl
| ~ p203(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2252]) ).
fof(f2255,plain,
( ~ sQ38_spl
| sQ375_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f2239,f2249,f2252,f422]) ).
fof(f2256,definition,
( sQ376_spl
<=> sP8_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f2257,plain,
( ~ sQ376_spl
| sP8_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2256]) ).
fof(f2259,definition,
( sQ377_spl
<=> p204(sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f2260,plain,
( ~ sQ377_spl
| p204(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2259]) ).
fof(f2261,plain,
( sQ377_spl
| ~ p204(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2259]) ).
fof(f2262,plain,
( ~ sQ38_spl
| sQ377_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f2240,f2256,f2259,f422]) ).
fof(f2263,definition,
( sQ378_spl
<=> sP7_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f2264,plain,
( ~ sQ378_spl
| sP7_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2263]) ).
fof(f2265,plain,
( sQ378_spl
| ~ sP7_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2263]) ).
fof(f2266,definition,
( sQ379_spl
<=> p304(sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f2267,plain,
( ~ sQ379_spl
| p304(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2266]) ).
fof(f2268,plain,
( sQ379_spl
| ~ p304(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2266]) ).
fof(f2269,plain,
( ~ sQ38_spl
| sQ379_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f2241,f2263,f2266,f422]) ).
fof(f2270,definition,
( sQ380_spl
<=> sP6_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f2271,plain,
( ~ sQ380_spl
| sP6_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2270]) ).
fof(f2273,plain,
( ~ sQ38_spl
| sQ379_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f2242,f2270,f2266,f422]) ).
fof(f2274,definition,
( sQ381_spl
<=> sP5_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f2275,plain,
( ~ sQ381_spl
| sP5_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2274]) ).
fof(f2277,definition,
( sQ382_spl
<=> p205(sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f2278,plain,
( ~ sQ382_spl
| p205(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2277]) ).
fof(f2279,plain,
( sQ382_spl
| ~ p205(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2277]) ).
fof(f2280,plain,
( ~ sQ38_spl
| sQ382_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f2243,f2274,f2277,f422]) ).
fof(f2281,definition,
( sQ383_spl
<=> sP4_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f2282,plain,
( ~ sQ383_spl
| sP4_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2281]) ).
fof(f2283,plain,
( sQ383_spl
| ~ sP4_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2281]) ).
fof(f2284,definition,
( sQ384_spl
<=> p305(sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f2285,plain,
( ~ sQ384_spl
| p305(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2284]) ).
fof(f2286,plain,
( sQ384_spl
| ~ p305(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2284]) ).
fof(f2287,plain,
( ~ sQ38_spl
| sQ384_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f2244,f2281,f2284,f422]) ).
fof(f2288,definition,
( sQ385_spl
<=> sP3_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f2289,plain,
( ~ sQ385_spl
| sP3_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2288]) ).
fof(f2290,plain,
( sQ385_spl
| ~ sP3_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2288]) ).
fof(f2291,definition,
( sQ386_spl
<=> p405(sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f2292,plain,
( ~ sQ386_spl
| p405(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2291]) ).
fof(f2293,plain,
( sQ386_spl
| ~ p405(sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2291]) ).
fof(f2294,plain,
( ~ sQ38_spl
| sQ386_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f2245,f2288,f2291,f422]) ).
fof(f2295,definition,
( sQ387_spl
<=> sP2_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f2296,plain,
( ~ sQ387_spl
| sP2_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2295]) ).
fof(f2298,plain,
( ~ sQ38_spl
| sQ384_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f2246,f2295,f2284,f422]) ).
fof(f2300,definition,
( sQ388_spl
<=> sP0_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f2301,plain,
( ~ sQ388_spl
| sP0_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2300]) ).
fof(f2303,plain,
( ~ sQ38_spl
| sQ386_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f2248,f2300,f2291,f422]) ).
fof(f2304,plain,
( ~ sQ159_spl
| ~ p605(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1190,f18]) ).
fof(f2305,plain,
! [X0] :
( ~ sQ159_spl
| ~ sP3_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1190,f156]) ).
fof(f2306,plain,
! [X0] :
( ~ sQ159_spl
| ~ sP1_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1190,f146]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ159_spl
| ~ sP0_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1190,f141]) ).
fof(f2308,plain,
( ~ sQ159_spl
| ~ sQ0_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f2304,f1320,f188,f1189]) ).
fof(f2309,plain,
( ~ sQ193_spl
| ~ sQ159_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1359,f2305]) ).
fof(f2310,plain,
( ~ sQ168_spl
| ~ sQ159_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1240,f2306]) ).
fof(f2311,plain,
( ~ sQ158_spl
| ~ sQ159_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1187,f2307]) ).
fof(f2312,plain,
( ~ sQ193_spl
| ~ sQ159_spl ),
inference(contradiction_clause,[status(thm)],[f2309]) ).
fof(f2313,plain,
( ~ sQ157_spl
| ~ p505(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1183,f20]) ).
fof(f2314,plain,
! [X0] :
( ~ sQ157_spl
| ~ sP3_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1183,f156]) ).
fof(f2315,plain,
! [X0] :
( ~ sQ157_spl
| ~ sP1_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1183,f146]) ).
fof(f2316,plain,
! [X0] :
( ~ sQ157_spl
| ~ sP0_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1183,f141]) ).
fof(f2317,plain,
( ~ sQ157_spl
| ~ sQ5_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f2313,f1320,f204,f1182]) ).
fof(f2318,plain,
( ~ sQ272_spl
| ~ sQ157_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1733,f2314]) ).
fof(f2319,plain,
( ~ sQ274_spl
| ~ sQ157_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1741,f2315]) ).
fof(f2320,plain,
( ~ sQ156_spl
| ~ sQ157_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1180,f2316]) ).
fof(f2321,plain,
( ~ sQ272_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2322,plain,
( ~ sQ40_spl
| r1(sK51_skl,sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f431,f150]) ).
fof(f2323,plain,
( ~ sQ44_spl
| r1(sK51_skl,sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f520,f155]) ).
fof(f2324,plain,
( ~ sQ16_spl
| ~ sQ64_spl
| p304(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f240]) ).
fof(f2328,plain,
( ~ sQ64_spl
| p203(sK37_skl(sK51_skl))
| sP9_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f714,f187]) ).
fof(f2329,plain,
( ~ sQ64_spl
| p204(sK37_skl(sK51_skl))
| sP8_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f714,f182]) ).
fof(f2330,plain,
( ~ sQ64_spl
| p304(sK37_skl(sK51_skl))
| sP7_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f714,f177]) ).
fof(f2331,plain,
( ~ sQ64_spl
| p304(sK37_skl(sK51_skl))
| sP6_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f714,f172]) ).
fof(f2332,plain,
( ~ sQ64_spl
| p205(sK37_skl(sK51_skl))
| sP5_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f714,f167]) ).
fof(f2333,plain,
( ~ sQ64_spl
| p305(sK37_skl(sK51_skl))
| sP4_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f714,f162]) ).
fof(f2334,plain,
( ~ sQ64_spl
| p405(sK37_skl(sK51_skl))
| sP3_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f714,f157]) ).
fof(f2335,plain,
( ~ sQ64_spl
| p305(sK37_skl(sK51_skl))
| sP2_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f714,f152]) ).
fof(f2336,plain,
( ~ sQ64_spl
| p405(sK37_skl(sK51_skl))
| sP1_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f714,f147]) ).
fof(f2338,definition,
( sQ389_spl
<=> sP9_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f2339,plain,
( ~ sQ389_spl
| sP9_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2338]) ).
fof(f2341,definition,
( sQ390_spl
<=> p203(sK37_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f2342,plain,
( ~ sQ390_spl
| p203(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2341]) ).
fof(f2343,plain,
( sQ390_spl
| ~ p203(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2341]) ).
fof(f2344,plain,
( ~ sQ64_spl
| sQ390_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f2328,f2338,f2341,f713]) ).
fof(f2345,definition,
( sQ391_spl
<=> sP8_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f2346,plain,
( ~ sQ391_spl
| sP8_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2345]) ).
fof(f2348,definition,
( sQ392_spl
<=> p204(sK37_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f2349,plain,
( ~ sQ392_spl
| p204(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2348]) ).
fof(f2350,plain,
( sQ392_spl
| ~ p204(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2348]) ).
fof(f2351,plain,
( ~ sQ64_spl
| sQ392_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f2329,f2345,f2348,f713]) ).
fof(f2352,definition,
( sQ393_spl
<=> sP7_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f2353,plain,
( ~ sQ393_spl
| sP7_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2352]) ).
fof(f2355,definition,
( sQ394_spl
<=> p304(sK37_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f2356,plain,
( ~ sQ394_spl
| p304(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2355]) ).
fof(f2357,plain,
( sQ394_spl
| ~ p304(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2355]) ).
fof(f2358,plain,
( ~ sQ64_spl
| sQ394_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f2330,f2352,f2355,f713]) ).
fof(f2359,definition,
( sQ395_spl
<=> sP6_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f2360,plain,
( ~ sQ395_spl
| sP6_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2359]) ).
fof(f2362,plain,
( ~ sQ64_spl
| sQ394_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f2331,f2359,f2355,f713]) ).
fof(f2363,definition,
( sQ396_spl
<=> sP5_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f2364,plain,
( ~ sQ396_spl
| sP5_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2363]) ).
fof(f2366,definition,
( sQ397_spl
<=> p205(sK37_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f2367,plain,
( ~ sQ397_spl
| p205(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2366]) ).
fof(f2368,plain,
( sQ397_spl
| ~ p205(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2366]) ).
fof(f2369,plain,
( ~ sQ64_spl
| sQ397_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f2332,f2363,f2366,f713]) ).
fof(f2370,definition,
( sQ398_spl
<=> sP4_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f2371,plain,
( ~ sQ398_spl
| sP4_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2370]) ).
fof(f2373,definition,
( sQ399_spl
<=> p305(sK37_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f2374,plain,
( ~ sQ399_spl
| p305(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2373]) ).
fof(f2375,plain,
( sQ399_spl
| ~ p305(sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2373]) ).
fof(f2376,plain,
( ~ sQ64_spl
| sQ399_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f2333,f2370,f2373,f713]) ).
fof(f2377,definition,
( sQ400_spl
<=> sP3_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f2378,plain,
( ~ sQ400_spl
| sP3_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2377]) ).
fof(f2379,plain,
( sQ400_spl
| ~ sP3_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2377]) ).
fof(f2380,plain,
( ~ sQ64_spl
| sQ107_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f2334,f2377,f1007,f713]) ).
fof(f2381,definition,
( sQ401_spl
<=> sP2_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f2382,plain,
( ~ sQ401_spl
| sP2_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2381]) ).
fof(f2384,plain,
( ~ sQ64_spl
| sQ399_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f2335,f2381,f2373,f713]) ).
fof(f2385,definition,
( sQ402_spl
<=> sP1_prd(sK37_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f2386,plain,
( ~ sQ402_spl
| sP1_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2385]) ).
fof(f2387,plain,
( sQ402_spl
| ~ sP1_prd(sK37_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2385]) ).
fof(f2388,plain,
( ~ sQ64_spl
| sQ107_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f2336,f2385,f1007,f713]) ).
fof(f2390,plain,
( ~ sQ16_spl
| ~ sQ70_spl
| p304(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f240]) ).
fof(f2394,plain,
( ~ sQ70_spl
| p203(sK41_skl(sK51_skl))
| sP9_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f772,f187]) ).
fof(f2395,plain,
( ~ sQ70_spl
| p204(sK41_skl(sK51_skl))
| sP8_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f772,f182]) ).
fof(f2396,plain,
( ~ sQ70_spl
| p304(sK41_skl(sK51_skl))
| sP7_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f772,f177]) ).
fof(f2397,plain,
( ~ sQ70_spl
| p304(sK41_skl(sK51_skl))
| sP6_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f772,f172]) ).
fof(f2398,plain,
( ~ sQ70_spl
| p205(sK41_skl(sK51_skl))
| sP5_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f772,f167]) ).
fof(f2399,plain,
( ~ sQ70_spl
| p305(sK41_skl(sK51_skl))
| sP4_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f772,f162]) ).
fof(f2400,plain,
( ~ sQ70_spl
| p405(sK41_skl(sK51_skl))
| sP3_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f772,f157]) ).
fof(f2401,plain,
( ~ sQ70_spl
| p305(sK41_skl(sK51_skl))
| sP2_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f772,f152]) ).
fof(f2402,plain,
( ~ sQ70_spl
| p405(sK41_skl(sK51_skl))
| sP1_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f772,f147]) ).
fof(f2404,definition,
( sQ403_spl
<=> sP9_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f2405,plain,
( ~ sQ403_spl
| sP9_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2404]) ).
fof(f2407,definition,
( sQ404_spl
<=> p203(sK41_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f2408,plain,
( ~ sQ404_spl
| p203(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2407]) ).
fof(f2409,plain,
( sQ404_spl
| ~ p203(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2407]) ).
fof(f2410,plain,
( ~ sQ70_spl
| sQ404_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f2394,f2404,f2407,f771]) ).
fof(f2411,definition,
( sQ405_spl
<=> sP8_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f2412,plain,
( ~ sQ405_spl
| sP8_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2411]) ).
fof(f2414,definition,
( sQ406_spl
<=> p204(sK41_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f2415,plain,
( ~ sQ406_spl
| p204(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2414]) ).
fof(f2416,plain,
( sQ406_spl
| ~ p204(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2414]) ).
fof(f2417,plain,
( ~ sQ70_spl
| sQ406_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f2395,f2411,f2414,f771]) ).
fof(f2418,definition,
( sQ407_spl
<=> sP7_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f2419,plain,
( ~ sQ407_spl
| sP7_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2418]) ).
fof(f2421,definition,
( sQ408_spl
<=> p304(sK41_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f2422,plain,
( ~ sQ408_spl
| p304(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2421]) ).
fof(f2423,plain,
( sQ408_spl
| ~ p304(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2421]) ).
fof(f2424,plain,
( ~ sQ70_spl
| sQ408_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f2396,f2418,f2421,f771]) ).
fof(f2425,definition,
( sQ409_spl
<=> sP6_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f2426,plain,
( ~ sQ409_spl
| sP6_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2425]) ).
fof(f2428,plain,
( ~ sQ70_spl
| sQ408_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f2397,f2425,f2421,f771]) ).
fof(f2429,definition,
( sQ410_spl
<=> sP5_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f2430,plain,
( ~ sQ410_spl
| sP5_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2429]) ).
fof(f2432,definition,
( sQ411_spl
<=> p205(sK41_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f2433,plain,
( ~ sQ411_spl
| p205(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2432]) ).
fof(f2434,plain,
( sQ411_spl
| ~ p205(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2432]) ).
fof(f2435,plain,
( ~ sQ70_spl
| sQ411_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f2398,f2429,f2432,f771]) ).
fof(f2436,definition,
( sQ412_spl
<=> sP4_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f2437,plain,
( ~ sQ412_spl
| sP4_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2436]) ).
fof(f2439,definition,
( sQ413_spl
<=> p305(sK41_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f2440,plain,
( ~ sQ413_spl
| p305(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2439]) ).
fof(f2441,plain,
( sQ413_spl
| ~ p305(sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2439]) ).
fof(f2442,plain,
( ~ sQ70_spl
| sQ413_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f2399,f2436,f2439,f771]) ).
fof(f2443,definition,
( sQ414_spl
<=> sP3_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f2444,plain,
( ~ sQ414_spl
| sP3_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2443]) ).
fof(f2445,plain,
( sQ414_spl
| ~ sP3_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2443]) ).
fof(f2446,plain,
( ~ sQ70_spl
| sQ97_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f2400,f2443,f972,f771]) ).
fof(f2447,definition,
( sQ415_spl
<=> sP2_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f2448,plain,
( ~ sQ415_spl
| sP2_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2447]) ).
fof(f2450,plain,
( ~ sQ70_spl
| sQ413_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f2401,f2447,f2439,f771]) ).
fof(f2451,definition,
( sQ416_spl
<=> sP1_prd(sK41_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f2452,plain,
( ~ sQ416_spl
| sP1_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2451]) ).
fof(f2453,plain,
( sQ416_spl
| ~ sP1_prd(sK41_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2451]) ).
fof(f2454,plain,
( ~ sQ70_spl
| sQ97_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f2402,f2451,f972,f771]) ).
fof(f2456,plain,
( ~ sQ16_spl
| ~ sQ40_spl
| p304(sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2322,f240]) ).
fof(f2457,plain,
( ~ sQ22_spl
| ~ sQ40_spl
| p203(sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2322,f259]) ).
fof(f2458,plain,
( ~ sQ27_spl
| ~ sQ40_spl
| p103(sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2322,f275]) ).
fof(f2459,plain,
( ~ sQ28_spl
| ~ sQ40_spl
| p102(sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2322,f278]) ).
fof(f2460,plain,
( ~ sQ40_spl
| p203(sK11_skl(sK51_skl))
| sP9_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2322,f187]) ).
fof(f2461,plain,
( ~ sQ40_spl
| p204(sK11_skl(sK51_skl))
| sP8_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2322,f182]) ).
fof(f2462,plain,
( ~ sQ40_spl
| p304(sK11_skl(sK51_skl))
| sP7_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2322,f177]) ).
fof(f2463,plain,
( ~ sQ40_spl
| p304(sK11_skl(sK51_skl))
| sP6_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2322,f172]) ).
fof(f2464,plain,
( ~ sQ40_spl
| p205(sK11_skl(sK51_skl))
| sP5_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2322,f167]) ).
fof(f2465,plain,
( ~ sQ40_spl
| p305(sK11_skl(sK51_skl))
| sP4_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2322,f162]) ).
fof(f2466,plain,
( ~ sQ40_spl
| p405(sK11_skl(sK51_skl))
| sP3_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2322,f157]) ).
fof(f2468,plain,
( ~ sQ40_spl
| p405(sK11_skl(sK51_skl))
| sP1_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2322,f147]) ).
fof(f2469,plain,
( ~ sQ40_spl
| p405(sK11_skl(sK51_skl))
| sP0_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2322,f142]) ).
fof(f2470,definition,
( sQ417_spl
<=> sP9_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f2471,plain,
( ~ sQ417_spl
| sP9_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2470]) ).
fof(f2473,definition,
( sQ418_spl
<=> p203(sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f2474,plain,
( ~ sQ418_spl
| p203(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2473]) ).
fof(f2475,plain,
( sQ418_spl
| ~ p203(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2473]) ).
fof(f2476,plain,
( ~ sQ40_spl
| sQ418_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f2460,f2470,f2473,f430]) ).
fof(f2477,definition,
( sQ419_spl
<=> sP8_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f2478,plain,
( ~ sQ419_spl
| sP8_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2477]) ).
fof(f2480,definition,
( sQ420_spl
<=> p204(sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f2481,plain,
( ~ sQ420_spl
| p204(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2480]) ).
fof(f2482,plain,
( sQ420_spl
| ~ p204(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2480]) ).
fof(f2483,plain,
( ~ sQ40_spl
| sQ420_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f2461,f2477,f2480,f430]) ).
fof(f2484,definition,
( sQ421_spl
<=> sP7_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f2485,plain,
( ~ sQ421_spl
| sP7_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2484]) ).
fof(f2486,plain,
( sQ421_spl
| ~ sP7_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2484]) ).
fof(f2487,definition,
( sQ422_spl
<=> p304(sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f2488,plain,
( ~ sQ422_spl
| p304(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2487]) ).
fof(f2489,plain,
( sQ422_spl
| ~ p304(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2487]) ).
fof(f2490,plain,
( ~ sQ40_spl
| sQ422_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f2462,f2484,f2487,f430]) ).
fof(f2491,definition,
( sQ423_spl
<=> sP6_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f2492,plain,
( ~ sQ423_spl
| sP6_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2491]) ).
fof(f2494,plain,
( ~ sQ40_spl
| sQ422_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f2463,f2491,f2487,f430]) ).
fof(f2495,definition,
( sQ424_spl
<=> sP5_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f2496,plain,
( ~ sQ424_spl
| sP5_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2495]) ).
fof(f2498,definition,
( sQ425_spl
<=> p205(sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f2499,plain,
( ~ sQ425_spl
| p205(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2498]) ).
fof(f2500,plain,
( sQ425_spl
| ~ p205(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2498]) ).
fof(f2501,plain,
( ~ sQ40_spl
| sQ425_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f2464,f2495,f2498,f430]) ).
fof(f2502,definition,
( sQ426_spl
<=> sP4_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f2503,plain,
( ~ sQ426_spl
| sP4_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2502]) ).
fof(f2505,definition,
( sQ427_spl
<=> p305(sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f2506,plain,
( ~ sQ427_spl
| p305(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2505]) ).
fof(f2507,plain,
( sQ427_spl
| ~ p305(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2505]) ).
fof(f2508,plain,
( ~ sQ40_spl
| sQ427_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f2465,f2502,f2505,f430]) ).
fof(f2509,definition,
( sQ428_spl
<=> sP3_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f2510,plain,
( ~ sQ428_spl
| sP3_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2509]) ).
fof(f2511,plain,
( sQ428_spl
| ~ sP3_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2509]) ).
fof(f2512,definition,
( sQ429_spl
<=> p405(sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f2513,plain,
( ~ sQ429_spl
| p405(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2512]) ).
fof(f2514,plain,
( sQ429_spl
| ~ p405(sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2512]) ).
fof(f2515,plain,
( ~ sQ40_spl
| sQ429_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f2466,f2509,f2512,f430]) ).
fof(f2517,definition,
( sQ430_spl
<=> sP1_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f2518,plain,
( ~ sQ430_spl
| sP1_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2517]) ).
fof(f2519,plain,
( sQ430_spl
| ~ sP1_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2517]) ).
fof(f2520,plain,
( ~ sQ40_spl
| sQ429_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f2468,f2517,f2512,f430]) ).
fof(f2521,definition,
( sQ431_spl
<=> sP0_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f2522,plain,
( ~ sQ431_spl
| sP0_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2521]) ).
fof(f2524,plain,
( ~ sQ40_spl
| sQ429_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f2469,f2521,f2512,f430]) ).
fof(f2525,plain,
( ~ sQ16_spl
| ~ sQ44_spl
| p304(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2323,f240]) ).
fof(f2526,plain,
( ~ sQ22_spl
| ~ sQ44_spl
| p203(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2323,f259]) ).
fof(f2527,plain,
( ~ sQ27_spl
| ~ sQ44_spl
| p103(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2323,f275]) ).
fof(f2528,plain,
( ~ sQ28_spl
| ~ sQ44_spl
| p102(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2323,f278]) ).
fof(f2529,plain,
( ~ sQ44_spl
| p203(sK15_skl(sK51_skl))
| sP9_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2323,f187]) ).
fof(f2530,plain,
( ~ sQ44_spl
| p204(sK15_skl(sK51_skl))
| sP8_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2323,f182]) ).
fof(f2531,plain,
( ~ sQ44_spl
| p304(sK15_skl(sK51_skl))
| sP7_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2323,f177]) ).
fof(f2532,plain,
( ~ sQ44_spl
| p304(sK15_skl(sK51_skl))
| sP6_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2323,f172]) ).
fof(f2533,plain,
( ~ sQ44_spl
| p205(sK15_skl(sK51_skl))
| sP5_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2323,f167]) ).
fof(f2534,plain,
( ~ sQ44_spl
| p305(sK15_skl(sK51_skl))
| sP4_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2323,f162]) ).
fof(f2536,plain,
( ~ sQ44_spl
| p305(sK15_skl(sK51_skl))
| sP2_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2323,f152]) ).
fof(f2537,plain,
( ~ sQ44_spl
| p405(sK15_skl(sK51_skl))
| sP1_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2323,f147]) ).
fof(f2538,plain,
( ~ sQ44_spl
| p405(sK15_skl(sK51_skl))
| sP0_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2323,f142]) ).
fof(f2539,definition,
( sQ432_spl
<=> sP9_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f2540,plain,
( ~ sQ432_spl
| sP9_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2539]) ).
fof(f2542,definition,
( sQ433_spl
<=> p203(sK15_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f2543,plain,
( ~ sQ433_spl
| p203(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2542]) ).
fof(f2544,plain,
( sQ433_spl
| ~ p203(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2542]) ).
fof(f2545,plain,
( ~ sQ44_spl
| sQ433_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f2529,f2539,f2542,f519]) ).
fof(f2546,definition,
( sQ434_spl
<=> sP8_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f2547,plain,
( ~ sQ434_spl
| sP8_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2546]) ).
fof(f2548,plain,
( sQ434_spl
| ~ sP8_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2546]) ).
fof(f2549,definition,
( sQ435_spl
<=> p204(sK15_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f2550,plain,
( ~ sQ435_spl
| p204(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2549]) ).
fof(f2551,plain,
( sQ435_spl
| ~ p204(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2549]) ).
fof(f2552,plain,
( ~ sQ44_spl
| sQ435_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f2530,f2546,f2549,f519]) ).
fof(f2553,definition,
( sQ436_spl
<=> sP7_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f2554,plain,
( ~ sQ436_spl
| sP7_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2553]) ).
fof(f2555,plain,
( sQ436_spl
| ~ sP7_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2553]) ).
fof(f2556,definition,
( sQ437_spl
<=> p304(sK15_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f2557,plain,
( ~ sQ437_spl
| p304(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2556]) ).
fof(f2558,plain,
( sQ437_spl
| ~ p304(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2556]) ).
fof(f2559,plain,
( ~ sQ44_spl
| sQ437_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f2531,f2553,f2556,f519]) ).
fof(f2560,definition,
( sQ438_spl
<=> sP6_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f2561,plain,
( ~ sQ438_spl
| sP6_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2560]) ).
fof(f2563,plain,
( ~ sQ44_spl
| sQ437_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f2532,f2560,f2556,f519]) ).
fof(f2564,definition,
( sQ439_spl
<=> sP5_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f2565,plain,
( ~ sQ439_spl
| sP5_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2564]) ).
fof(f2566,plain,
( sQ439_spl
| ~ sP5_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2564]) ).
fof(f2567,definition,
( sQ440_spl
<=> p205(sK15_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
( ~ sQ440_spl
| p205(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2567]) ).
fof(f2569,plain,
( sQ440_spl
| ~ p205(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2567]) ).
fof(f2570,plain,
( ~ sQ44_spl
| sQ440_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f2533,f2564,f2567,f519]) ).
fof(f2571,definition,
( sQ441_spl
<=> sP4_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f2572,plain,
( ~ sQ441_spl
| sP4_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2571]) ).
fof(f2573,plain,
( sQ441_spl
| ~ sP4_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2571]) ).
fof(f2574,definition,
( sQ442_spl
<=> p305(sK15_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f2575,plain,
( ~ sQ442_spl
| p305(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2574]) ).
fof(f2576,plain,
( sQ442_spl
| ~ p305(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2574]) ).
fof(f2577,plain,
( ~ sQ44_spl
| sQ442_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f2534,f2571,f2574,f519]) ).
fof(f2578,definition,
( sQ443_spl
<=> p405(sK15_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f2579,plain,
( ~ sQ443_spl
| p405(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2578]) ).
fof(f2580,plain,
( sQ443_spl
| ~ p405(sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2578]) ).
fof(f2582,definition,
( sQ444_spl
<=> sP2_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f2583,plain,
( ~ sQ444_spl
| sP2_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2582]) ).
fof(f2584,plain,
( sQ444_spl
| ~ sP2_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2582]) ).
fof(f2585,plain,
( ~ sQ44_spl
| sQ442_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f2536,f2582,f2574,f519]) ).
fof(f2586,definition,
( sQ445_spl
<=> sP1_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f2587,plain,
( ~ sQ445_spl
| sP1_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2586]) ).
fof(f2589,plain,
( ~ sQ44_spl
| sQ443_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f2537,f2586,f2578,f519]) ).
fof(f2590,definition,
( sQ446_spl
<=> sP0_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f2591,plain,
( ~ sQ446_spl
| sP0_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2590]) ).
fof(f2593,plain,
( ~ sQ44_spl
| sQ443_spl
| sQ446_spl ),
inference(split_clause,[status(thm)],[f2538,f2590,f2578,f519]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ155_spl
| ~ sP3_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1176,f156]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ155_spl
| ~ sP1_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1176,f146]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ155_spl
| ~ sP0_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1176,f141]) ).
fof(f2597,plain,
( ~ sQ192_spl
| ~ sQ155_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1355,f2594]) ).
fof(f2598,plain,
( ~ sQ167_spl
| ~ sQ155_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1236,f2595]) ).
fof(f2599,plain,
( ~ sQ154_spl
| ~ sQ155_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1173,f2596]) ).
fof(f2600,plain,
( ~ sQ192_spl
| ~ sQ155_spl ),
inference(contradiction_clause,[status(thm)],[f2597]) ).
fof(f2601,plain,
! [X0] :
( ~ sQ153_spl
| ~ sP3_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1169,f156]) ).
fof(f2602,plain,
! [X0] :
( ~ sQ153_spl
| ~ sP1_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1169,f146]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ153_spl
| ~ sP0_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1169,f141]) ).
fof(f2604,plain,
( ~ sQ286_spl
| ~ sQ153_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1802,f2601]) ).
fof(f2605,plain,
( ~ sQ288_spl
| ~ sQ153_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1810,f2602]) ).
fof(f2606,plain,
( ~ sQ152_spl
| ~ sQ153_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1166,f2603]) ).
fof(f2607,plain,
( ~ sQ286_spl
| ~ sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f2604]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ151_spl
| ~ sP3_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1162,f156]) ).
fof(f2609,plain,
! [X0] :
( ~ sQ151_spl
| ~ sP1_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1162,f146]) ).
fof(f2610,plain,
! [X0] :
( ~ sQ151_spl
| ~ sP0_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1162,f141]) ).
fof(f2611,plain,
( ~ sQ150_spl
| ~ sQ151_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1159,f2610]) ).
fof(f2612,plain,
( ~ sQ150_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2613,plain,
! [X0] :
( ~ sQ149_spl
| ~ sP3_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1155,f156]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ149_spl
| ~ sP1_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1155,f146]) ).
fof(f2615,plain,
! [X0] :
( ~ sQ149_spl
| ~ sP0_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1155,f141]) ).
fof(f2616,plain,
( ~ sQ191_spl
| ~ sQ149_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1351,f2613]) ).
fof(f2617,plain,
( ~ sQ166_spl
| ~ sQ149_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1232,f2614]) ).
fof(f2618,plain,
( ~ sQ148_spl
| ~ sQ149_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1152,f2615]) ).
fof(f2619,plain,
( ~ sQ191_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f2616]) ).
fof(f2620,plain,
! [X0] :
( ~ sQ147_spl
| ~ sP3_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1148,f156]) ).
fof(f2621,plain,
! [X0] :
( ~ sQ147_spl
| ~ sP1_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1148,f146]) ).
fof(f2622,plain,
! [X0] :
( ~ sQ147_spl
| ~ sP0_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1148,f141]) ).
fof(f2623,plain,
( ~ sQ300_spl
| ~ sQ147_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1871,f2620]) ).
fof(f2624,plain,
( ~ sQ302_spl
| ~ sQ147_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1879,f2621]) ).
fof(f2625,plain,
( ~ sQ146_spl
| ~ sQ147_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1145,f2622]) ).
fof(f2626,plain,
( ~ sQ300_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2623]) ).
fof(f2627,plain,
! [X0] :
( ~ sQ145_spl
| ~ sP3_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1141,f156]) ).
fof(f2628,plain,
! [X0] :
( ~ sQ145_spl
| ~ sP1_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1141,f146]) ).
fof(f2629,plain,
! [X0] :
( ~ sQ145_spl
| ~ sP0_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1141,f141]) ).
fof(f2630,plain,
( ~ sQ144_spl
| ~ sQ145_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1138,f2629]) ).
fof(f2631,plain,
( ~ sQ144_spl
| ~ sQ145_spl ),
inference(contradiction_clause,[status(thm)],[f2630]) ).
fof(f2632,plain,
! [X0] :
( ~ sQ143_spl
| ~ sP3_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1134,f156]) ).
fof(f2633,plain,
! [X0] :
( ~ sQ143_spl
| ~ sP1_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1134,f146]) ).
fof(f2634,plain,
! [X0] :
( ~ sQ143_spl
| ~ sP0_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1134,f141]) ).
fof(f2635,plain,
( ~ sQ142_spl
| ~ sQ143_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1131,f2634]) ).
fof(f2636,plain,
( ~ sQ142_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f2635]) ).
fof(f2637,plain,
! [X0] :
( ~ sQ141_spl
| ~ sP3_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1127,f156]) ).
fof(f2638,plain,
! [X0] :
( ~ sQ141_spl
| ~ sP1_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1127,f146]) ).
fof(f2639,plain,
! [X0] :
( ~ sQ141_spl
| ~ sP0_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1127,f141]) ).
fof(f2640,plain,
( ~ sQ190_spl
| ~ sQ141_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1347,f2637]) ).
fof(f2641,plain,
( ~ sQ165_spl
| ~ sQ141_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1228,f2638]) ).
fof(f2642,plain,
( ~ sQ140_spl
| ~ sQ141_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1124,f2639]) ).
fof(f2643,plain,
( ~ sQ190_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f2640]) ).
fof(f2644,plain,
! [X0] :
( ~ sQ139_spl
| ~ sP3_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1120,f156]) ).
fof(f2645,plain,
! [X0] :
( ~ sQ139_spl
| ~ sP1_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1120,f146]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ139_spl
| ~ sP0_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1120,f141]) ).
fof(f2647,plain,
( ~ sQ314_spl
| ~ sQ139_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1941,f2644]) ).
fof(f2648,plain,
( ~ sQ316_spl
| ~ sQ139_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1949,f2645]) ).
fof(f2649,plain,
( ~ sQ138_spl
| ~ sQ139_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1117,f2646]) ).
fof(f2650,plain,
( ~ sQ314_spl
| ~ sQ139_spl ),
inference(contradiction_clause,[status(thm)],[f2647]) ).
fof(f2651,plain,
! [X0] :
( ~ sQ137_spl
| ~ sP3_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1113,f156]) ).
fof(f2652,plain,
! [X0] :
( ~ sQ137_spl
| ~ sP1_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1113,f146]) ).
fof(f2653,plain,
! [X0] :
( ~ sQ137_spl
| ~ sP0_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1113,f141]) ).
fof(f2654,plain,
( ~ sQ136_spl
| ~ sQ137_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1110,f2653]) ).
fof(f2655,plain,
( ~ sQ136_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f2654]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ135_spl
| ~ sP3_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1106,f156]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ135_spl
| ~ sP1_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1106,f146]) ).
fof(f2658,plain,
! [X0] :
( ~ sQ135_spl
| ~ sP0_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1106,f141]) ).
fof(f2659,plain,
( ~ sQ134_spl
| ~ sQ135_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1103,f2658]) ).
fof(f2660,plain,
( ~ sQ134_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f2659]) ).
fof(f2661,plain,
( ~ sQ46_spl
| r1(sK51_skl,sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f548,f160]) ).
fof(f2662,plain,
( ~ sQ48_spl
| r1(sK51_skl,sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f562,f165]) ).
fof(f2663,plain,
( ~ sQ60_spl
| r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f680,f170]) ).
fof(f2664,plain,
( ~ sQ16_spl
| ~ sQ46_spl
| p304(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2661,f240]) ).
fof(f2665,plain,
( ~ sQ22_spl
| ~ sQ46_spl
| p203(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2661,f259]) ).
fof(f2666,plain,
( ~ sQ27_spl
| ~ sQ46_spl
| p103(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2661,f275]) ).
fof(f2667,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| p102(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2661,f278]) ).
fof(f2668,plain,
( ~ sQ46_spl
| p203(sK17_skl(sK51_skl))
| sP9_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2661,f187]) ).
fof(f2669,plain,
( ~ sQ46_spl
| p204(sK17_skl(sK51_skl))
| sP8_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2661,f182]) ).
fof(f2670,plain,
( ~ sQ46_spl
| p304(sK17_skl(sK51_skl))
| sP7_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2661,f177]) ).
fof(f2671,plain,
( ~ sQ46_spl
| p304(sK17_skl(sK51_skl))
| sP6_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2661,f172]) ).
fof(f2672,plain,
( ~ sQ46_spl
| p205(sK17_skl(sK51_skl))
| sP5_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2661,f167]) ).
fof(f2674,plain,
( ~ sQ46_spl
| p405(sK17_skl(sK51_skl))
| sP3_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2661,f157]) ).
fof(f2675,plain,
( ~ sQ46_spl
| p305(sK17_skl(sK51_skl))
| sP2_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2661,f152]) ).
fof(f2676,plain,
( ~ sQ46_spl
| p405(sK17_skl(sK51_skl))
| sP1_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2661,f147]) ).
fof(f2677,plain,
( ~ sQ46_spl
| p405(sK17_skl(sK51_skl))
| sP0_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2661,f142]) ).
fof(f2678,definition,
( sQ447_spl
<=> sP9_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f2679,plain,
( ~ sQ447_spl
| sP9_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2678]) ).
fof(f2681,definition,
( sQ448_spl
<=> p203(sK17_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f2682,plain,
( ~ sQ448_spl
| p203(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2681]) ).
fof(f2683,plain,
( sQ448_spl
| ~ p203(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2681]) ).
fof(f2684,plain,
( ~ sQ46_spl
| sQ448_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f2668,f2678,f2681,f547]) ).
fof(f2685,definition,
( sQ449_spl
<=> sP8_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f2686,plain,
( ~ sQ449_spl
| sP8_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2685]) ).
fof(f2688,definition,
( sQ450_spl
<=> p204(sK17_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f2689,plain,
( ~ sQ450_spl
| p204(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2688]) ).
fof(f2690,plain,
( sQ450_spl
| ~ p204(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2688]) ).
fof(f2691,plain,
( ~ sQ46_spl
| sQ450_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f2669,f2685,f2688,f547]) ).
fof(f2692,definition,
( sQ451_spl
<=> sP7_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f2693,plain,
( ~ sQ451_spl
| sP7_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2692]) ).
fof(f2694,plain,
( sQ451_spl
| ~ sP7_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2692]) ).
fof(f2695,definition,
( sQ452_spl
<=> p304(sK17_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f2696,plain,
( ~ sQ452_spl
| p304(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2695]) ).
fof(f2697,plain,
( sQ452_spl
| ~ p304(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2695]) ).
fof(f2698,plain,
( ~ sQ46_spl
| sQ452_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f2670,f2692,f2695,f547]) ).
fof(f2699,definition,
( sQ453_spl
<=> sP6_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f2700,plain,
( ~ sQ453_spl
| sP6_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2699]) ).
fof(f2702,plain,
( ~ sQ46_spl
| sQ452_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f2671,f2699,f2695,f547]) ).
fof(f2703,definition,
( sQ454_spl
<=> sP5_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f2704,plain,
( ~ sQ454_spl
| sP5_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2703]) ).
fof(f2706,definition,
( sQ455_spl
<=> p205(sK17_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f2707,plain,
( ~ sQ455_spl
| p205(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2706]) ).
fof(f2708,plain,
( sQ455_spl
| ~ p205(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2706]) ).
fof(f2709,plain,
( ~ sQ46_spl
| sQ455_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f2672,f2703,f2706,f547]) ).
fof(f2710,definition,
( sQ456_spl
<=> p305(sK17_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f2711,plain,
( ~ sQ456_spl
| p305(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2710]) ).
fof(f2712,plain,
( sQ456_spl
| ~ p305(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2710]) ).
fof(f2714,definition,
( sQ457_spl
<=> sP3_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f2715,plain,
( ~ sQ457_spl
| sP3_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2714]) ).
fof(f2716,plain,
( sQ457_spl
| ~ sP3_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2714]) ).
fof(f2717,definition,
( sQ458_spl
<=> p405(sK17_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f2718,plain,
( ~ sQ458_spl
| p405(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2717]) ).
fof(f2719,plain,
( sQ458_spl
| ~ p405(sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2717]) ).
fof(f2720,plain,
( ~ sQ46_spl
| sQ458_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f2674,f2714,f2717,f547]) ).
fof(f2721,definition,
( sQ459_spl
<=> sP2_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f2722,plain,
( ~ sQ459_spl
| sP2_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2721]) ).
fof(f2724,plain,
( ~ sQ46_spl
| sQ456_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f2675,f2721,f2710,f547]) ).
fof(f2725,definition,
( sQ460_spl
<=> sP1_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f2726,plain,
( ~ sQ460_spl
| sP1_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2725]) ).
fof(f2727,plain,
( sQ460_spl
| ~ sP1_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2725]) ).
fof(f2728,plain,
( ~ sQ46_spl
| sQ458_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f2676,f2725,f2717,f547]) ).
fof(f2729,definition,
( sQ461_spl
<=> sP0_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f2730,plain,
( ~ sQ461_spl
| sP0_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2729]) ).
fof(f2732,plain,
( ~ sQ46_spl
| sQ458_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f2677,f2729,f2717,f547]) ).
fof(f2733,plain,
( ~ sQ16_spl
| ~ sQ48_spl
| p304(sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2662,f240]) ).
fof(f2734,plain,
( ~ sQ22_spl
| ~ sQ48_spl
| p203(sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2662,f259]) ).
fof(f2735,plain,
( ~ sQ27_spl
| ~ sQ48_spl
| p103(sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2662,f275]) ).
fof(f2736,plain,
( ~ sQ28_spl
| ~ sQ48_spl
| p102(sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2662,f278]) ).
fof(f2737,plain,
( ~ sQ48_spl
| p203(sK19_skl(sK51_skl))
| sP9_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2662,f187]) ).
fof(f2738,plain,
( ~ sQ48_spl
| p204(sK19_skl(sK51_skl))
| sP8_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2662,f182]) ).
fof(f2739,plain,
( ~ sQ48_spl
| p304(sK19_skl(sK51_skl))
| sP7_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2662,f177]) ).
fof(f2740,plain,
( ~ sQ48_spl
| p304(sK19_skl(sK51_skl))
| sP6_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2662,f172]) ).
fof(f2742,plain,
( ~ sQ48_spl
| p305(sK19_skl(sK51_skl))
| sP4_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2662,f162]) ).
fof(f2743,plain,
( ~ sQ48_spl
| p405(sK19_skl(sK51_skl))
| sP3_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2662,f157]) ).
fof(f2744,plain,
( ~ sQ48_spl
| p305(sK19_skl(sK51_skl))
| sP2_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2662,f152]) ).
fof(f2745,plain,
( ~ sQ48_spl
| p405(sK19_skl(sK51_skl))
| sP1_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2662,f147]) ).
fof(f2746,plain,
( ~ sQ48_spl
| p405(sK19_skl(sK51_skl))
| sP0_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2662,f142]) ).
fof(f2747,definition,
( sQ462_spl
<=> sP9_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f2748,plain,
( ~ sQ462_spl
| sP9_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2747]) ).
fof(f2750,definition,
( sQ463_spl
<=> p203(sK19_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f2751,plain,
( ~ sQ463_spl
| p203(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2750]) ).
fof(f2752,plain,
( sQ463_spl
| ~ p203(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2750]) ).
fof(f2753,plain,
( ~ sQ48_spl
| sQ463_spl
| sQ462_spl ),
inference(split_clause,[status(thm)],[f2737,f2747,f2750,f561]) ).
fof(f2754,definition,
( sQ464_spl
<=> sP8_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f2755,plain,
( ~ sQ464_spl
| sP8_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2754]) ).
fof(f2756,plain,
( sQ464_spl
| ~ sP8_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2754]) ).
fof(f2757,definition,
( sQ465_spl
<=> p204(sK19_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f2758,plain,
( ~ sQ465_spl
| p204(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2757]) ).
fof(f2759,plain,
( sQ465_spl
| ~ p204(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2757]) ).
fof(f2760,plain,
( ~ sQ48_spl
| sQ465_spl
| sQ464_spl ),
inference(split_clause,[status(thm)],[f2738,f2754,f2757,f561]) ).
fof(f2761,definition,
( sQ466_spl
<=> sP7_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f2762,plain,
( ~ sQ466_spl
| sP7_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2761]) ).
fof(f2763,plain,
( sQ466_spl
| ~ sP7_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2761]) ).
fof(f2764,definition,
( sQ467_spl
<=> p304(sK19_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f2765,plain,
( ~ sQ467_spl
| p304(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2764]) ).
fof(f2766,plain,
( sQ467_spl
| ~ p304(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2764]) ).
fof(f2767,plain,
( ~ sQ48_spl
| sQ467_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f2739,f2761,f2764,f561]) ).
fof(f2768,definition,
( sQ468_spl
<=> sP6_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f2769,plain,
( ~ sQ468_spl
| sP6_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2768]) ).
fof(f2771,plain,
( ~ sQ48_spl
| sQ467_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f2740,f2768,f2764,f561]) ).
fof(f2776,definition,
( sQ470_spl
<=> sP4_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f2777,plain,
( ~ sQ470_spl
| sP4_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2776]) ).
fof(f2778,plain,
( sQ470_spl
| ~ sP4_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2776]) ).
fof(f2779,definition,
( sQ471_spl
<=> p305(sK19_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f2780,plain,
( ~ sQ471_spl
| p305(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2779]) ).
fof(f2781,plain,
( sQ471_spl
| ~ p305(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2779]) ).
fof(f2782,plain,
( ~ sQ48_spl
| sQ471_spl
| sQ470_spl ),
inference(split_clause,[status(thm)],[f2742,f2776,f2779,f561]) ).
fof(f2783,definition,
( sQ472_spl
<=> sP3_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f2784,plain,
( ~ sQ472_spl
| sP3_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2783]) ).
fof(f2785,plain,
( sQ472_spl
| ~ sP3_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2783]) ).
fof(f2786,definition,
( sQ473_spl
<=> p405(sK19_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f2787,plain,
( ~ sQ473_spl
| p405(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2786]) ).
fof(f2788,plain,
( sQ473_spl
| ~ p405(sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2786]) ).
fof(f2789,plain,
( ~ sQ48_spl
| sQ473_spl
| sQ472_spl ),
inference(split_clause,[status(thm)],[f2743,f2783,f2786,f561]) ).
fof(f2790,definition,
( sQ474_spl
<=> sP2_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f2791,plain,
( ~ sQ474_spl
| sP2_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2790]) ).
fof(f2793,plain,
( ~ sQ48_spl
| sQ471_spl
| sQ474_spl ),
inference(split_clause,[status(thm)],[f2744,f2790,f2779,f561]) ).
fof(f2794,definition,
( sQ475_spl
<=> sP1_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f2795,plain,
( ~ sQ475_spl
| sP1_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2794]) ).
fof(f2796,plain,
( sQ475_spl
| ~ sP1_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2794]) ).
fof(f2797,plain,
( ~ sQ48_spl
| sQ473_spl
| sQ475_spl ),
inference(split_clause,[status(thm)],[f2745,f2794,f2786,f561]) ).
fof(f2798,definition,
( sQ476_spl
<=> sP0_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f2799,plain,
( ~ sQ476_spl
| sP0_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2798]) ).
fof(f2801,plain,
( ~ sQ48_spl
| sQ473_spl
| sQ476_spl ),
inference(split_clause,[status(thm)],[f2746,f2798,f2786,f561]) ).
fof(f2802,plain,
( ~ sQ16_spl
| ~ sQ60_spl
| p304(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2663,f240]) ).
fof(f2803,plain,
( ~ sQ22_spl
| ~ sQ60_spl
| p203(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2663,f259]) ).
fof(f2804,plain,
( ~ sQ27_spl
| ~ sQ60_spl
| p103(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2663,f275]) ).
fof(f2805,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| p102(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2663,f278]) ).
fof(f2806,plain,
( ~ sQ60_spl
| p203(sK27_skl(sK51_skl))
| sP9_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2663,f187]) ).
fof(f2807,plain,
( ~ sQ60_spl
| p204(sK27_skl(sK51_skl))
| sP8_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2663,f182]) ).
fof(f2808,plain,
( ~ sQ60_spl
| p304(sK27_skl(sK51_skl))
| sP7_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2663,f177]) ).
fof(f2810,plain,
( ~ sQ60_spl
| p205(sK27_skl(sK51_skl))
| sP5_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2663,f167]) ).
fof(f2811,plain,
( ~ sQ60_spl
| p305(sK27_skl(sK51_skl))
| sP4_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2663,f162]) ).
fof(f2812,plain,
( ~ sQ60_spl
| p405(sK27_skl(sK51_skl))
| sP3_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2663,f157]) ).
fof(f2813,plain,
( ~ sQ60_spl
| p305(sK27_skl(sK51_skl))
| sP2_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2663,f152]) ).
fof(f2814,plain,
( ~ sQ60_spl
| p405(sK27_skl(sK51_skl))
| sP1_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2663,f147]) ).
fof(f2815,plain,
( ~ sQ60_spl
| p405(sK27_skl(sK51_skl))
| sP0_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f2663,f142]) ).
fof(f2816,definition,
( sQ477_spl
<=> sP9_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f2817,plain,
( ~ sQ477_spl
| sP9_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2816]) ).
fof(f2819,definition,
( sQ478_spl
<=> p203(sK27_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f2820,plain,
( ~ sQ478_spl
| p203(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2819]) ).
fof(f2821,plain,
( sQ478_spl
| ~ p203(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2819]) ).
fof(f2822,plain,
( ~ sQ60_spl
| sQ478_spl
| sQ477_spl ),
inference(split_clause,[status(thm)],[f2806,f2816,f2819,f679]) ).
fof(f2823,definition,
( sQ479_spl
<=> sP8_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f2824,plain,
( ~ sQ479_spl
| sP8_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2823]) ).
fof(f2825,plain,
( sQ479_spl
| ~ sP8_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2823]) ).
fof(f2826,definition,
( sQ480_spl
<=> p204(sK27_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f2827,plain,
( ~ sQ480_spl
| p204(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2826]) ).
fof(f2828,plain,
( sQ480_spl
| ~ p204(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2826]) ).
fof(f2829,plain,
( ~ sQ60_spl
| sQ480_spl
| sQ479_spl ),
inference(split_clause,[status(thm)],[f2807,f2823,f2826,f679]) ).
fof(f2830,definition,
( sQ481_spl
<=> sP7_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f2831,plain,
( ~ sQ481_spl
| sP7_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2830]) ).
fof(f2833,definition,
( sQ482_spl
<=> p304(sK27_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f2834,plain,
( ~ sQ482_spl
| p304(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2833]) ).
fof(f2835,plain,
( sQ482_spl
| ~ p304(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2833]) ).
fof(f2836,plain,
( ~ sQ60_spl
| sQ482_spl
| sQ481_spl ),
inference(split_clause,[status(thm)],[f2808,f2830,f2833,f679]) ).
fof(f2838,definition,
( sQ483_spl
<=> sP5_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f2839,plain,
( ~ sQ483_spl
| sP5_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2838]) ).
fof(f2841,definition,
( sQ484_spl
<=> p205(sK27_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f2842,plain,
( ~ sQ484_spl
| p205(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2841]) ).
fof(f2843,plain,
( sQ484_spl
| ~ p205(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2841]) ).
fof(f2844,plain,
( ~ sQ60_spl
| sQ484_spl
| sQ483_spl ),
inference(split_clause,[status(thm)],[f2810,f2838,f2841,f679]) ).
fof(f2845,definition,
( sQ485_spl
<=> sP4_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f2846,plain,
( ~ sQ485_spl
| sP4_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2845]) ).
fof(f2847,plain,
( sQ485_spl
| ~ sP4_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2845]) ).
fof(f2848,definition,
( sQ486_spl
<=> p305(sK27_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f2849,plain,
( ~ sQ486_spl
| p305(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2848]) ).
fof(f2850,plain,
( sQ486_spl
| ~ p305(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2848]) ).
fof(f2851,plain,
( ~ sQ60_spl
| sQ486_spl
| sQ485_spl ),
inference(split_clause,[status(thm)],[f2811,f2845,f2848,f679]) ).
fof(f2852,definition,
( sQ487_spl
<=> sP3_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f2853,plain,
( ~ sQ487_spl
| sP3_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2852]) ).
fof(f2854,plain,
( sQ487_spl
| ~ sP3_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2852]) ).
fof(f2855,definition,
( sQ488_spl
<=> p405(sK27_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f2856,plain,
( ~ sQ488_spl
| p405(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2855]) ).
fof(f2857,plain,
( sQ488_spl
| ~ p405(sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2855]) ).
fof(f2858,plain,
( ~ sQ60_spl
| sQ488_spl
| sQ487_spl ),
inference(split_clause,[status(thm)],[f2812,f2852,f2855,f679]) ).
fof(f2859,definition,
( sQ489_spl
<=> sP2_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f2860,plain,
( ~ sQ489_spl
| sP2_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2859]) ).
fof(f2861,plain,
( sQ489_spl
| ~ sP2_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2859]) ).
fof(f2862,plain,
( ~ sQ60_spl
| sQ486_spl
| sQ489_spl ),
inference(split_clause,[status(thm)],[f2813,f2859,f2848,f679]) ).
fof(f2863,definition,
( sQ490_spl
<=> sP1_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f2864,plain,
( ~ sQ490_spl
| sP1_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2863]) ).
fof(f2865,plain,
( sQ490_spl
| ~ sP1_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2863]) ).
fof(f2866,plain,
( ~ sQ60_spl
| sQ488_spl
| sQ490_spl ),
inference(split_clause,[status(thm)],[f2814,f2863,f2855,f679]) ).
fof(f2867,definition,
( sQ491_spl
<=> sP0_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f2868,plain,
( ~ sQ491_spl
| sP0_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2867]) ).
fof(f2870,plain,
( ~ sQ60_spl
| sQ488_spl
| sQ491_spl ),
inference(split_clause,[status(thm)],[f2815,f2867,f2855,f679]) ).
fof(f2871,plain,
! [X0] :
( ~ sQ133_spl
| ~ sP3_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1099,f156]) ).
fof(f2872,plain,
! [X0] :
( ~ sQ133_spl
| ~ sP1_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1099,f146]) ).
fof(f2873,plain,
! [X0] :
( ~ sQ133_spl
| ~ sP0_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1099,f141]) ).
fof(f2874,plain,
( ~ sQ132_spl
| ~ sQ133_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1096,f2873]) ).
fof(f2875,plain,
( ~ sQ132_spl
| ~ sQ133_spl ),
inference(contradiction_clause,[status(thm)],[f2874]) ).
fof(f2876,plain,
! [X0] :
( ~ sQ131_spl
| ~ sP3_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1092,f156]) ).
fof(f2877,plain,
! [X0] :
( ~ sQ131_spl
| ~ sP1_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1092,f146]) ).
fof(f2878,plain,
! [X0] :
( ~ sQ131_spl
| ~ sP0_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1092,f141]) ).
fof(f2879,plain,
( ~ sQ328_spl
| ~ sQ131_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2010,f2876]) ).
fof(f2880,plain,
( ~ sQ330_spl
| ~ sQ131_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2018,f2877]) ).
fof(f2881,plain,
( ~ sQ130_spl
| ~ sQ131_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1089,f2878]) ).
fof(f2882,plain,
( ~ sQ328_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f2879]) ).
fof(f2883,plain,
( ~ sQ16_spl
| ~ sQ57_spl
| p304(sK30_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f653,f240]) ).
fof(f2887,plain,
( ~ sQ57_spl
| p203(sK30_skl(sK51_skl))
| sP9_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f653,f187]) ).
fof(f2897,definition,
( sQ492_spl
<=> sP9_prd(sK30_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f2898,plain,
( ~ sQ492_spl
| sP9_prd(sK30_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2897]) ).
fof(f2900,definition,
( sQ493_spl
<=> p203(sK30_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f2901,plain,
( ~ sQ493_spl
| p203(sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2900]) ).
fof(f2903,plain,
( ~ sQ57_spl
| sQ493_spl
| sQ492_spl ),
inference(split_clause,[status(thm)],[f2887,f2897,f2900,f652]) ).
fof(f2913,plain,
( ~ sQ492_spl
| ~ sQ22_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2898,f1661]) ).
fof(f2914,plain,
( ~ sQ492_spl
| ~ sQ22_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2913]) ).
fof(f2915,plain,
( ~ sQ16_spl
| ~ sQ51_spl
| p304(sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f581,f240]) ).
fof(f2917,plain,
( ~ sQ51_spl
| p203(sK22_skl(sK51_skl))
| sP9_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f581,f187]) ).
fof(f2927,definition,
( sQ494_spl
<=> sP9_prd(sK22_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f2928,plain,
( ~ sQ494_spl
| sP9_prd(sK22_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2927]) ).
fof(f2930,definition,
( sQ495_spl
<=> p203(sK22_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f2931,plain,
( ~ sQ495_spl
| p203(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2930]) ).
fof(f2932,plain,
( sQ495_spl
| ~ p203(sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2930]) ).
fof(f2933,plain,
( ~ sQ51_spl
| sQ495_spl
| sQ494_spl ),
inference(split_clause,[status(thm)],[f2917,f2927,f2930,f580]) ).
fof(f2943,plain,
( ~ sQ16_spl
| ~ sQ54_spl
| p304(sK25_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f614,f240]) ).
fof(f2945,plain,
( ~ sQ54_spl
| p203(sK25_skl(sK51_skl))
| sP9_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f614,f187]) ).
fof(f2955,definition,
( sQ496_spl
<=> sP9_prd(sK25_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f2956,plain,
( ~ sQ496_spl
| sP9_prd(sK25_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2955]) ).
fof(f2958,definition,
( sQ497_spl
<=> p203(sK25_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f2959,plain,
( ~ sQ497_spl
| p203(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2958]) ).
fof(f2960,plain,
( sQ497_spl
| ~ p203(sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2958]) ).
fof(f2961,plain,
( ~ sQ54_spl
| sQ497_spl
| sQ496_spl ),
inference(split_clause,[status(thm)],[f2945,f2955,f2958,f613]) ).
fof(f2971,plain,
( ~ sQ16_spl
| ~ sQ59_spl
| p304(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f240]) ).
fof(f2973,plain,
( ~ sQ59_spl
| p203(sK36_skl(sK51_skl))
| sP9_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f675,f187]) ).
fof(f2974,plain,
( ~ sQ59_spl
| p204(sK36_skl(sK51_skl))
| sP8_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f675,f182]) ).
fof(f2975,plain,
( ~ sQ59_spl
| p304(sK36_skl(sK51_skl))
| sP7_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f675,f177]) ).
fof(f2976,plain,
( ~ sQ59_spl
| p304(sK36_skl(sK51_skl))
| sP6_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f675,f172]) ).
fof(f2977,plain,
( ~ sQ59_spl
| p205(sK36_skl(sK51_skl))
| sP5_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f675,f167]) ).
fof(f2978,plain,
( ~ sQ59_spl
| p305(sK36_skl(sK51_skl))
| sP4_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f675,f162]) ).
fof(f2979,plain,
( ~ sQ59_spl
| p405(sK36_skl(sK51_skl))
| sP3_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f675,f157]) ).
fof(f2980,plain,
( ~ sQ59_spl
| p305(sK36_skl(sK51_skl))
| sP2_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f675,f152]) ).
fof(f2981,plain,
( ~ sQ59_spl
| p405(sK36_skl(sK51_skl))
| sP1_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f675,f147]) ).
fof(f2983,definition,
( sQ498_spl
<=> sP9_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).
fof(f2984,plain,
( ~ sQ498_spl
| sP9_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2983]) ).
fof(f2986,definition,
( sQ499_spl
<=> p203(sK36_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f2987,plain,
( ~ sQ499_spl
| p203(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2986]) ).
fof(f2988,plain,
( sQ499_spl
| ~ p203(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2986]) ).
fof(f2989,plain,
( ~ sQ59_spl
| sQ499_spl
| sQ498_spl ),
inference(split_clause,[status(thm)],[f2973,f2983,f2986,f674]) ).
fof(f2990,definition,
( sQ500_spl
<=> sP8_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f2991,plain,
( ~ sQ500_spl
| sP8_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2990]) ).
fof(f2992,plain,
( sQ500_spl
| ~ sP8_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2990]) ).
fof(f2993,definition,
( sQ501_spl
<=> p204(sK36_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f2994,plain,
( ~ sQ501_spl
| p204(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2993]) ).
fof(f2995,plain,
( sQ501_spl
| ~ p204(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2993]) ).
fof(f2996,plain,
( ~ sQ59_spl
| sQ501_spl
| sQ500_spl ),
inference(split_clause,[status(thm)],[f2974,f2990,f2993,f674]) ).
fof(f2997,definition,
( sQ502_spl
<=> sP7_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f2998,plain,
( ~ sQ502_spl
| sP7_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2997]) ).
fof(f2999,plain,
( sQ502_spl
| ~ sP7_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f2997]) ).
fof(f3000,definition,
( sQ503_spl
<=> p304(sK36_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f3001,plain,
( ~ sQ503_spl
| p304(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3000]) ).
fof(f3002,plain,
( sQ503_spl
| ~ p304(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3000]) ).
fof(f3003,plain,
( ~ sQ59_spl
| sQ503_spl
| sQ502_spl ),
inference(split_clause,[status(thm)],[f2975,f2997,f3000,f674]) ).
fof(f3004,definition,
( sQ504_spl
<=> sP6_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f3005,plain,
( ~ sQ504_spl
| sP6_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3004]) ).
fof(f3007,plain,
( ~ sQ59_spl
| sQ503_spl
| sQ504_spl ),
inference(split_clause,[status(thm)],[f2976,f3004,f3000,f674]) ).
fof(f3008,definition,
( sQ505_spl
<=> sP5_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f3009,plain,
( ~ sQ505_spl
| sP5_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3008]) ).
fof(f3010,plain,
( sQ505_spl
| ~ sP5_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3008]) ).
fof(f3011,definition,
( sQ506_spl
<=> p205(sK36_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f3012,plain,
( ~ sQ506_spl
| p205(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3011]) ).
fof(f3013,plain,
( sQ506_spl
| ~ p205(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3011]) ).
fof(f3014,plain,
( ~ sQ59_spl
| sQ506_spl
| sQ505_spl ),
inference(split_clause,[status(thm)],[f2977,f3008,f3011,f674]) ).
fof(f3015,definition,
( sQ507_spl
<=> sP4_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f3016,plain,
( ~ sQ507_spl
| sP4_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3015]) ).
fof(f3017,plain,
( sQ507_spl
| ~ sP4_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3015]) ).
fof(f3018,definition,
( sQ508_spl
<=> p305(sK36_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f3019,plain,
( ~ sQ508_spl
| p305(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3018]) ).
fof(f3020,plain,
( sQ508_spl
| ~ p305(sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3018]) ).
fof(f3021,plain,
( ~ sQ59_spl
| sQ508_spl
| sQ507_spl ),
inference(split_clause,[status(thm)],[f2978,f3015,f3018,f674]) ).
fof(f3022,definition,
( sQ509_spl
<=> sP3_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f3023,plain,
( ~ sQ509_spl
| sP3_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3022]) ).
fof(f3024,plain,
( sQ509_spl
| ~ sP3_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3022]) ).
fof(f3025,plain,
( ~ sQ59_spl
| sQ113_spl
| sQ509_spl ),
inference(split_clause,[status(thm)],[f2979,f3022,f1028,f674]) ).
fof(f3026,definition,
( sQ510_spl
<=> sP2_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f3027,plain,
( ~ sQ510_spl
| sP2_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3026]) ).
fof(f3028,plain,
( sQ510_spl
| ~ sP2_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3026]) ).
fof(f3029,plain,
( ~ sQ59_spl
| sQ508_spl
| sQ510_spl ),
inference(split_clause,[status(thm)],[f2980,f3026,f3018,f674]) ).
fof(f3030,definition,
( sQ511_spl
<=> sP1_prd(sK36_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f3031,plain,
( ~ sQ511_spl
| sP1_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3030]) ).
fof(f3032,plain,
( sQ511_spl
| ~ sP1_prd(sK36_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3030]) ).
fof(f3033,plain,
( ~ sQ59_spl
| sQ113_spl
| sQ511_spl ),
inference(split_clause,[status(thm)],[f2981,f3030,f1028,f674]) ).
fof(f3035,plain,
( ~ sQ16_spl
| ~ sQ67_spl
| p304(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f747,f240]) ).
fof(f3037,plain,
( ~ sQ67_spl
| p203(sK40_skl(sK51_skl))
| sP9_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f747,f187]) ).
fof(f3038,plain,
( ~ sQ67_spl
| p204(sK40_skl(sK51_skl))
| sP8_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f747,f182]) ).
fof(f3039,plain,
( ~ sQ67_spl
| p304(sK40_skl(sK51_skl))
| sP7_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f747,f177]) ).
fof(f3040,plain,
( ~ sQ67_spl
| p304(sK40_skl(sK51_skl))
| sP6_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f747,f172]) ).
fof(f3041,plain,
( ~ sQ67_spl
| p205(sK40_skl(sK51_skl))
| sP5_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f747,f167]) ).
fof(f3042,plain,
( ~ sQ67_spl
| p305(sK40_skl(sK51_skl))
| sP4_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f747,f162]) ).
fof(f3043,plain,
( ~ sQ67_spl
| p405(sK40_skl(sK51_skl))
| sP3_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f747,f157]) ).
fof(f3044,plain,
( ~ sQ67_spl
| p305(sK40_skl(sK51_skl))
| sP2_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f747,f152]) ).
fof(f3045,plain,
( ~ sQ67_spl
| p405(sK40_skl(sK51_skl))
| sP1_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f747,f147]) ).
fof(f3047,definition,
( sQ512_spl
<=> sP9_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f3048,plain,
( ~ sQ512_spl
| sP9_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3047]) ).
fof(f3050,definition,
( sQ513_spl
<=> p203(sK40_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).
fof(f3051,plain,
( ~ sQ513_spl
| p203(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3050]) ).
fof(f3052,plain,
( sQ513_spl
| ~ p203(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3050]) ).
fof(f3053,plain,
( ~ sQ67_spl
| sQ513_spl
| sQ512_spl ),
inference(split_clause,[status(thm)],[f3037,f3047,f3050,f746]) ).
fof(f3054,definition,
( sQ514_spl
<=> sP8_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f3055,plain,
( ~ sQ514_spl
| sP8_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3054]) ).
fof(f3056,plain,
( sQ514_spl
| ~ sP8_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3054]) ).
fof(f3057,definition,
( sQ515_spl
<=> p204(sK40_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f3058,plain,
( ~ sQ515_spl
| p204(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3057]) ).
fof(f3059,plain,
( sQ515_spl
| ~ p204(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3057]) ).
fof(f3060,plain,
( ~ sQ67_spl
| sQ515_spl
| sQ514_spl ),
inference(split_clause,[status(thm)],[f3038,f3054,f3057,f746]) ).
fof(f3061,definition,
( sQ516_spl
<=> sP7_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f3062,plain,
( ~ sQ516_spl
| sP7_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3061]) ).
fof(f3063,plain,
( sQ516_spl
| ~ sP7_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3061]) ).
fof(f3064,definition,
( sQ517_spl
<=> p304(sK40_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f3065,plain,
( ~ sQ517_spl
| p304(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3064]) ).
fof(f3066,plain,
( sQ517_spl
| ~ p304(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3064]) ).
fof(f3067,plain,
( ~ sQ67_spl
| sQ517_spl
| sQ516_spl ),
inference(split_clause,[status(thm)],[f3039,f3061,f3064,f746]) ).
fof(f3068,definition,
( sQ518_spl
<=> sP6_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f3069,plain,
( ~ sQ518_spl
| sP6_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3068]) ).
fof(f3071,plain,
( ~ sQ67_spl
| sQ517_spl
| sQ518_spl ),
inference(split_clause,[status(thm)],[f3040,f3068,f3064,f746]) ).
fof(f3072,definition,
( sQ519_spl
<=> sP5_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f3073,plain,
( ~ sQ519_spl
| sP5_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3072]) ).
fof(f3074,plain,
( sQ519_spl
| ~ sP5_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3072]) ).
fof(f3075,definition,
( sQ520_spl
<=> p205(sK40_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f3076,plain,
( ~ sQ520_spl
| p205(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3075]) ).
fof(f3077,plain,
( sQ520_spl
| ~ p205(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3075]) ).
fof(f3078,plain,
( ~ sQ67_spl
| sQ520_spl
| sQ519_spl ),
inference(split_clause,[status(thm)],[f3041,f3072,f3075,f746]) ).
fof(f3079,definition,
( sQ521_spl
<=> sP4_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f3080,plain,
( ~ sQ521_spl
| sP4_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3079]) ).
fof(f3081,plain,
( sQ521_spl
| ~ sP4_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3079]) ).
fof(f3082,definition,
( sQ522_spl
<=> p305(sK40_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f3083,plain,
( ~ sQ522_spl
| p305(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3082]) ).
fof(f3084,plain,
( sQ522_spl
| ~ p305(sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3082]) ).
fof(f3085,plain,
( ~ sQ67_spl
| sQ522_spl
| sQ521_spl ),
inference(split_clause,[status(thm)],[f3042,f3079,f3082,f746]) ).
fof(f3086,definition,
( sQ523_spl
<=> sP3_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f3087,plain,
( ~ sQ523_spl
| sP3_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3086]) ).
fof(f3088,plain,
( sQ523_spl
| ~ sP3_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3086]) ).
fof(f3089,plain,
( ~ sQ67_spl
| sQ101_spl
| sQ523_spl ),
inference(split_clause,[status(thm)],[f3043,f3086,f986,f746]) ).
fof(f3090,definition,
( sQ524_spl
<=> sP2_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f3091,plain,
( ~ sQ524_spl
| sP2_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3090]) ).
fof(f3092,plain,
( sQ524_spl
| ~ sP2_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3090]) ).
fof(f3093,plain,
( ~ sQ67_spl
| sQ522_spl
| sQ524_spl ),
inference(split_clause,[status(thm)],[f3044,f3090,f3082,f746]) ).
fof(f3094,definition,
( sQ525_spl
<=> sP1_prd(sK40_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f3095,plain,
( ~ sQ525_spl
| sP1_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3094]) ).
fof(f3096,plain,
( sQ525_spl
| ~ sP1_prd(sK40_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3094]) ).
fof(f3097,plain,
( ~ sQ67_spl
| sQ101_spl
| sQ525_spl ),
inference(split_clause,[status(thm)],[f3045,f3094,f986,f746]) ).
fof(f3101,plain,
( ~ sQ54_spl
| ~ sQ20_spl
| p205(sK25_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f614]) ).
fof(f3102,plain,
( ~ sQ51_spl
| ~ sQ20_spl
| p205(sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f581]) ).
fof(f3103,plain,
( ~ sQ57_spl
| ~ sQ20_spl
| p205(sK30_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f653]) ).
fof(f3104,plain,
( ~ sQ60_spl
| ~ sQ20_spl
| p205(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f2663]) ).
fof(f3105,plain,
( ~ sQ48_spl
| ~ sQ20_spl
| p205(sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f2662]) ).
fof(f3106,plain,
( ~ sQ46_spl
| ~ sQ20_spl
| p205(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f2661]) ).
fof(f3108,plain,
( ~ sQ40_spl
| ~ sQ20_spl
| p205(sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f2322]) ).
fof(f3109,plain,
( ~ sQ38_spl
| ~ sQ20_spl
| p205(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f1883]) ).
fof(f3111,plain,
! [X0] :
( ~ sQ129_spl
| ~ sP3_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1085,f156]) ).
fof(f3112,plain,
! [X0] :
( ~ sQ129_spl
| ~ sP1_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1085,f146]) ).
fof(f3113,plain,
! [X0] :
( ~ sQ129_spl
| ~ sP0_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1085,f141]) ).
fof(f3114,plain,
( ~ sQ189_spl
| ~ sQ129_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1343,f3111]) ).
fof(f3115,plain,
( ~ sQ164_spl
| ~ sQ129_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1224,f3112]) ).
fof(f3116,plain,
( ~ sQ128_spl
| ~ sQ129_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1082,f3113]) ).
fof(f3117,plain,
( ~ sQ189_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f3114]) ).
fof(f3129,plain,
( ~ sQ60_spl
| ~ sQ21_spl
| p204(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2663]) ).
fof(f3130,plain,
( ~ sQ48_spl
| ~ sQ21_spl
| p204(sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2662]) ).
fof(f3131,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| p204(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2661]) ).
fof(f3132,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| p204(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2323]) ).
fof(f3133,plain,
( ~ sQ40_spl
| ~ sQ21_spl
| p204(sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2322]) ).
fof(f3134,plain,
( ~ sQ38_spl
| ~ sQ21_spl
| p204(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f1883]) ).
fof(f3135,plain,
( ~ sQ34_spl
| ~ sQ21_spl
| p204(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f1672]) ).
fof(f3136,plain,
( ~ sQ67_spl
| ~ sQ10_spl
| p405(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f221,f747]) ).
fof(f3137,plain,
( ~ sQ59_spl
| ~ sQ10_spl
| p405(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f221,f675]) ).
fof(f3138,plain,
( ~ sQ60_spl
| ~ sQ10_spl
| p405(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f221,f2663]) ).
fof(f3139,plain,
( ~ sQ48_spl
| ~ sQ10_spl
| p405(sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f221,f2662]) ).
fof(f3140,plain,
( ~ sQ46_spl
| ~ sQ10_spl
| p405(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f221,f2661]) ).
fof(f3141,plain,
( ~ sQ44_spl
| ~ sQ10_spl
| p405(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f221,f2323]) ).
fof(f3142,plain,
( ~ sQ40_spl
| ~ sQ10_spl
| p405(sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f221,f2322]) ).
fof(f3143,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| p405(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f221,f1883]) ).
fof(f3144,plain,
( ~ sQ34_spl
| ~ sQ10_spl
| p405(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f221,f1672]) ).
fof(f3145,plain,
( ~ sQ10_spl
| ~ sQ74_spl
| p405(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f816,f221]) ).
fof(f3149,plain,
( ~ sQ16_spl
| ~ sQ74_spl
| p304(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f816,f240]) ).
fof(f3151,plain,
( ~ sQ74_spl
| p203(sK47_skl(sK51_skl))
| sP9_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f816,f187]) ).
fof(f3152,plain,
( ~ sQ74_spl
| p204(sK47_skl(sK51_skl))
| sP8_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f816,f182]) ).
fof(f3153,plain,
( ~ sQ74_spl
| p304(sK47_skl(sK51_skl))
| sP7_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f816,f177]) ).
fof(f3154,plain,
( ~ sQ74_spl
| p304(sK47_skl(sK51_skl))
| sP6_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f816,f172]) ).
fof(f3155,plain,
( ~ sQ74_spl
| p205(sK47_skl(sK51_skl))
| sP5_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f816,f167]) ).
fof(f3156,plain,
( ~ sQ74_spl
| p305(sK47_skl(sK51_skl))
| sP4_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f816,f162]) ).
fof(f3157,plain,
( ~ sQ74_spl
| p405(sK47_skl(sK51_skl))
| sP3_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f816,f157]) ).
fof(f3158,plain,
( ~ sQ74_spl
| p305(sK47_skl(sK51_skl))
| sP2_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f816,f152]) ).
fof(f3159,plain,
( ~ sQ74_spl
| p405(sK47_skl(sK51_skl))
| sP1_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f816,f147]) ).
fof(f3161,definition,
( sQ526_spl
<=> sP9_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f3162,plain,
( ~ sQ526_spl
| sP9_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3161]) ).
fof(f3164,definition,
( sQ527_spl
<=> p203(sK47_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f3165,plain,
( ~ sQ527_spl
| p203(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3164]) ).
fof(f3166,plain,
( sQ527_spl
| ~ p203(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3164]) ).
fof(f3167,plain,
( ~ sQ74_spl
| sQ527_spl
| sQ526_spl ),
inference(split_clause,[status(thm)],[f3151,f3161,f3164,f815]) ).
fof(f3168,definition,
( sQ528_spl
<=> sP8_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).
fof(f3169,plain,
( ~ sQ528_spl
| sP8_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3168]) ).
fof(f3170,plain,
( sQ528_spl
| ~ sP8_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3168]) ).
fof(f3171,definition,
( sQ529_spl
<=> p204(sK47_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f3172,plain,
( ~ sQ529_spl
| p204(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3171]) ).
fof(f3173,plain,
( sQ529_spl
| ~ p204(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3171]) ).
fof(f3174,plain,
( ~ sQ74_spl
| sQ529_spl
| sQ528_spl ),
inference(split_clause,[status(thm)],[f3152,f3168,f3171,f815]) ).
fof(f3175,definition,
( sQ530_spl
<=> sP7_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f3176,plain,
( ~ sQ530_spl
| sP7_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3175]) ).
fof(f3177,plain,
( sQ530_spl
| ~ sP7_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3175]) ).
fof(f3178,definition,
( sQ531_spl
<=> p304(sK47_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f3179,plain,
( ~ sQ531_spl
| p304(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3178]) ).
fof(f3180,plain,
( sQ531_spl
| ~ p304(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3178]) ).
fof(f3181,plain,
( ~ sQ74_spl
| sQ531_spl
| sQ530_spl ),
inference(split_clause,[status(thm)],[f3153,f3175,f3178,f815]) ).
fof(f3182,definition,
( sQ532_spl
<=> sP6_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f3183,plain,
( ~ sQ532_spl
| sP6_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3182]) ).
fof(f3185,plain,
( ~ sQ74_spl
| sQ531_spl
| sQ532_spl ),
inference(split_clause,[status(thm)],[f3154,f3182,f3178,f815]) ).
fof(f3186,definition,
( sQ533_spl
<=> sP5_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f3187,plain,
( ~ sQ533_spl
| sP5_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3186]) ).
fof(f3188,plain,
( sQ533_spl
| ~ sP5_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3186]) ).
fof(f3189,definition,
( sQ534_spl
<=> p205(sK47_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f3190,plain,
( ~ sQ534_spl
| p205(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3189]) ).
fof(f3191,plain,
( sQ534_spl
| ~ p205(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3189]) ).
fof(f3192,plain,
( ~ sQ74_spl
| sQ534_spl
| sQ533_spl ),
inference(split_clause,[status(thm)],[f3155,f3186,f3189,f815]) ).
fof(f3193,definition,
( sQ535_spl
<=> sP4_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f3194,plain,
( ~ sQ535_spl
| sP4_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3193]) ).
fof(f3195,plain,
( sQ535_spl
| ~ sP4_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3193]) ).
fof(f3196,definition,
( sQ536_spl
<=> p305(sK47_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f3197,plain,
( ~ sQ536_spl
| p305(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3196]) ).
fof(f3198,plain,
( sQ536_spl
| ~ p305(sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3196]) ).
fof(f3199,plain,
( ~ sQ74_spl
| sQ536_spl
| sQ535_spl ),
inference(split_clause,[status(thm)],[f3156,f3193,f3196,f815]) ).
fof(f3200,definition,
( sQ537_spl
<=> sP3_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f3201,plain,
( ~ sQ537_spl
| sP3_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3200]) ).
fof(f3202,plain,
( sQ537_spl
| ~ sP3_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3200]) ).
fof(f3203,plain,
( ~ sQ74_spl
| sQ89_spl
| sQ537_spl ),
inference(split_clause,[status(thm)],[f3157,f3200,f944,f815]) ).
fof(f3204,definition,
( sQ538_spl
<=> sP2_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f3205,plain,
( ~ sQ538_spl
| sP2_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3204]) ).
fof(f3206,plain,
( sQ538_spl
| ~ sP2_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3204]) ).
fof(f3207,plain,
( ~ sQ74_spl
| sQ536_spl
| sQ538_spl ),
inference(split_clause,[status(thm)],[f3158,f3204,f3196,f815]) ).
fof(f3208,definition,
( sQ539_spl
<=> sP1_prd(sK47_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f3209,plain,
( ~ sQ539_spl
| sP1_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3208]) ).
fof(f3210,plain,
( sQ539_spl
| ~ sP1_prd(sK47_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3208]) ).
fof(f3211,plain,
( ~ sQ74_spl
| sQ89_spl
| sQ539_spl ),
inference(split_clause,[status(thm)],[f3159,f3208,f944,f815]) ).
fof(f3213,plain,
! [X0] :
( ~ sQ127_spl
| ~ sP3_prd(sK23_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1078,f156]) ).
fof(f3214,plain,
! [X0] :
( ~ sQ127_spl
| ~ sP1_prd(sK23_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1078,f146]) ).
fof(f3215,plain,
! [X0] :
( ~ sQ127_spl
| ~ sP0_prd(sK23_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1078,f141]) ).
fof(f3216,plain,
( ~ sQ126_spl
| ~ sQ127_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1075,f3215]) ).
fof(f3217,plain,
( ~ sQ126_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f3216]) ).
fof(f3218,plain,
! [X0] :
( ~ sQ125_spl
| ~ sP3_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1071,f156]) ).
fof(f3219,plain,
! [X0] :
( ~ sQ125_spl
| ~ sP1_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1071,f146]) ).
fof(f3220,plain,
! [X0] :
( ~ sQ125_spl
| ~ sP0_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1071,f141]) ).
fof(f3221,plain,
( ~ sQ342_spl
| ~ sQ125_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2079,f3218]) ).
fof(f3222,plain,
( ~ sQ344_spl
| ~ sQ125_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2087,f3219]) ).
fof(f3223,plain,
( ~ sQ124_spl
| ~ sQ125_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1068,f3220]) ).
fof(f3224,plain,
( ~ sQ342_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3221]) ).
fof(f3225,plain,
! [X0] :
( ~ sQ123_spl
| ~ sP3_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1064,f156]) ).
fof(f3226,plain,
! [X0] :
( ~ sQ123_spl
| ~ sP1_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1064,f146]) ).
fof(f3227,plain,
! [X0] :
( ~ sQ123_spl
| ~ sP0_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1064,f141]) ).
fof(f3228,plain,
( ~ sQ188_spl
| ~ sQ123_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1339,f3225]) ).
fof(f3229,plain,
( ~ sQ163_spl
| ~ sQ123_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1220,f3226]) ).
fof(f3230,plain,
( ~ sQ122_spl
| ~ sQ123_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1061,f3227]) ).
fof(f3231,plain,
( ~ sQ188_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3228]) ).
fof(f3232,plain,
! [X0] :
( ~ sQ121_spl
| ~ sP3_prd(sK26_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1057,f156]) ).
fof(f3233,plain,
! [X0] :
( ~ sQ121_spl
| ~ sP1_prd(sK26_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1057,f146]) ).
fof(f3234,plain,
! [X0] :
( ~ sQ121_spl
| ~ sP0_prd(sK26_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1057,f141]) ).
fof(f3235,plain,
( ~ sQ120_spl
| ~ sQ121_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1054,f3234]) ).
fof(f3236,plain,
( ~ sQ120_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f3235]) ).
fof(f3237,plain,
! [X0] :
( ~ sQ119_spl
| ~ sP3_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1050,f156]) ).
fof(f3238,plain,
! [X0] :
( ~ sQ119_spl
| ~ sP1_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1050,f146]) ).
fof(f3239,plain,
! [X0] :
( ~ sQ119_spl
| ~ sP0_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1050,f141]) ).
fof(f3240,plain,
( ~ sQ356_spl
| ~ sQ119_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2148,f3237]) ).
fof(f3241,plain,
( ~ sQ358_spl
| ~ sQ119_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2156,f3238]) ).
fof(f3242,plain,
( ~ sQ118_spl
| ~ sQ119_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1047,f3239]) ).
fof(f3243,plain,
( ~ sQ356_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f3240]) ).
fof(f3244,plain,
! [X0] :
( ~ sQ117_spl
| ~ sP3_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1043,f156]) ).
fof(f3245,plain,
! [X0] :
( ~ sQ117_spl
| ~ sP1_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1043,f146]) ).
fof(f3246,plain,
! [X0] :
( ~ sQ117_spl
| ~ sP0_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1043,f141]) ).
fof(f3247,plain,
( ~ sQ187_spl
| ~ sQ117_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1335,f3244]) ).
fof(f3248,plain,
( ~ sQ162_spl
| ~ sQ117_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1216,f3245]) ).
fof(f3249,plain,
( ~ sQ116_spl
| ~ sQ117_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1040,f3246]) ).
fof(f3250,plain,
( ~ sQ187_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3247]) ).
fof(f3251,plain,
! [X0] :
( ~ sQ115_spl
| ~ sP3_prd(sK31_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1036,f156]) ).
fof(f3252,plain,
! [X0] :
( ~ sQ115_spl
| ~ sP1_prd(sK31_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1036,f146]) ).
fof(f3253,plain,
! [X0] :
( ~ sQ115_spl
| ~ sP0_prd(sK31_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1036,f141]) ).
fof(f3254,plain,
( ~ sQ114_spl
| ~ sQ115_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1033,f3253]) ).
fof(f3255,plain,
( ~ sQ114_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3254]) ).
fof(f3256,plain,
! [X0] :
( ~ sQ113_spl
| ~ sP3_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1029,f156]) ).
fof(f3257,plain,
! [X0] :
( ~ sQ113_spl
| ~ sP1_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1029,f146]) ).
fof(f3258,plain,
! [X0] :
( ~ sQ113_spl
| ~ sP0_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1029,f141]) ).
fof(f3259,plain,
( ~ sQ509_spl
| ~ sQ113_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3023,f3256]) ).
fof(f3260,plain,
( ~ sQ511_spl
| ~ sQ113_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3031,f3257]) ).
fof(f3261,plain,
( ~ sQ112_spl
| ~ sQ113_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1026,f3258]) ).
fof(f3262,plain,
( ~ sQ509_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f3259]) ).
fof(f3263,plain,
( ~ sQ62_spl
| r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f688,f175]) ).
fof(f3264,plain,
( ~ sQ68_spl
| r1(sK51_skl,sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f758,f180]) ).
fof(f3265,plain,
( ~ sQ20_spl
| ~ sQ64_spl
| p205(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f253]) ).
fof(f3266,plain,
( ~ sQ16_spl
| ~ sQ64_spl
| p304(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f240]) ).
fof(f3288,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| p205(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f253]) ).
fof(f3289,plain,
( ~ sQ16_spl
| ~ sQ70_spl
| p304(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f240]) ).
fof(f3311,plain,
( ~ sQ20_spl
| ~ sQ73_spl
| p205(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f253]) ).
fof(f3312,plain,
( ~ sQ16_spl
| ~ sQ73_spl
| p304(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f240]) ).
fof(f3314,plain,
( ~ sQ73_spl
| p203(sK46_skl(sK51_skl))
| sP9_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f805,f187]) ).
fof(f3315,plain,
( ~ sQ73_spl
| p204(sK46_skl(sK51_skl))
| sP8_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f805,f182]) ).
fof(f3316,plain,
( ~ sQ73_spl
| p304(sK46_skl(sK51_skl))
| sP7_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f805,f177]) ).
fof(f3317,plain,
( ~ sQ73_spl
| p304(sK46_skl(sK51_skl))
| sP6_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f805,f172]) ).
fof(f3318,plain,
( ~ sQ73_spl
| p205(sK46_skl(sK51_skl))
| sP5_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f805,f167]) ).
fof(f3319,plain,
( ~ sQ73_spl
| p305(sK46_skl(sK51_skl))
| sP4_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f805,f162]) ).
fof(f3320,plain,
( ~ sQ73_spl
| p405(sK46_skl(sK51_skl))
| sP3_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f805,f157]) ).
fof(f3321,plain,
( ~ sQ73_spl
| p305(sK46_skl(sK51_skl))
| sP2_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f805,f152]) ).
fof(f3322,plain,
( ~ sQ73_spl
| p405(sK46_skl(sK51_skl))
| sP1_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f805,f147]) ).
fof(f3324,definition,
( sQ540_spl
<=> sP9_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f3325,plain,
( ~ sQ540_spl
| sP9_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3324]) ).
fof(f3327,definition,
( sQ541_spl
<=> p203(sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f3328,plain,
( ~ sQ541_spl
| p203(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3327]) ).
fof(f3329,plain,
( sQ541_spl
| ~ p203(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3327]) ).
fof(f3330,plain,
( ~ sQ73_spl
| sQ541_spl
| sQ540_spl ),
inference(split_clause,[status(thm)],[f3314,f3324,f3327,f804]) ).
fof(f3331,definition,
( sQ542_spl
<=> sP8_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f3332,plain,
( ~ sQ542_spl
| sP8_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3331]) ).
fof(f3334,definition,
( sQ543_spl
<=> p204(sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f3335,plain,
( ~ sQ543_spl
| p204(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3334]) ).
fof(f3336,plain,
( sQ543_spl
| ~ p204(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3334]) ).
fof(f3337,plain,
( ~ sQ73_spl
| sQ543_spl
| sQ542_spl ),
inference(split_clause,[status(thm)],[f3315,f3331,f3334,f804]) ).
fof(f3338,definition,
( sQ544_spl
<=> sP7_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f3339,plain,
( ~ sQ544_spl
| sP7_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3338]) ).
fof(f3341,definition,
( sQ545_spl
<=> p304(sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f3342,plain,
( ~ sQ545_spl
| p304(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3341]) ).
fof(f3343,plain,
( sQ545_spl
| ~ p304(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3341]) ).
fof(f3344,plain,
( ~ sQ73_spl
| sQ545_spl
| sQ544_spl ),
inference(split_clause,[status(thm)],[f3316,f3338,f3341,f804]) ).
fof(f3345,definition,
( sQ546_spl
<=> sP6_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f3346,plain,
( ~ sQ546_spl
| sP6_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3345]) ).
fof(f3348,plain,
( ~ sQ73_spl
| sQ545_spl
| sQ546_spl ),
inference(split_clause,[status(thm)],[f3317,f3345,f3341,f804]) ).
fof(f3349,definition,
( sQ547_spl
<=> sP5_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f3350,plain,
( ~ sQ547_spl
| sP5_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3349]) ).
fof(f3352,definition,
( sQ548_spl
<=> p205(sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f3353,plain,
( ~ sQ548_spl
| p205(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3352]) ).
fof(f3354,plain,
( sQ548_spl
| ~ p205(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3352]) ).
fof(f3355,plain,
( ~ sQ73_spl
| sQ548_spl
| sQ547_spl ),
inference(split_clause,[status(thm)],[f3318,f3349,f3352,f804]) ).
fof(f3356,definition,
( sQ549_spl
<=> sP4_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f3357,plain,
( ~ sQ549_spl
| sP4_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3356]) ).
fof(f3359,definition,
( sQ550_spl
<=> p305(sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f3360,plain,
( ~ sQ550_spl
| p305(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3359]) ).
fof(f3361,plain,
( sQ550_spl
| ~ p305(sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3359]) ).
fof(f3362,plain,
( ~ sQ73_spl
| sQ550_spl
| sQ549_spl ),
inference(split_clause,[status(thm)],[f3319,f3356,f3359,f804]) ).
fof(f3363,definition,
( sQ551_spl
<=> sP3_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f3364,plain,
( ~ sQ551_spl
| sP3_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3363]) ).
fof(f3365,plain,
( sQ551_spl
| ~ sP3_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3363]) ).
fof(f3366,plain,
( ~ sQ73_spl
| sQ91_spl
| sQ551_spl ),
inference(split_clause,[status(thm)],[f3320,f3363,f951,f804]) ).
fof(f3367,definition,
( sQ552_spl
<=> sP2_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f3368,plain,
( ~ sQ552_spl
| sP2_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3367]) ).
fof(f3370,plain,
( ~ sQ73_spl
| sQ550_spl
| sQ552_spl ),
inference(split_clause,[status(thm)],[f3321,f3367,f3359,f804]) ).
fof(f3371,definition,
( sQ553_spl
<=> sP1_prd(sK46_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f3372,plain,
( ~ sQ553_spl
| sP1_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3371]) ).
fof(f3373,plain,
( sQ553_spl
| ~ sP1_prd(sK46_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3371]) ).
fof(f3374,plain,
( ~ sQ73_spl
| sQ91_spl
| sQ553_spl ),
inference(split_clause,[status(thm)],[f3322,f3371,f951,f804]) ).
fof(f3376,plain,
( ~ sQ20_spl
| ~ sQ62_spl
| p205(sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3263,f253]) ).
fof(f3377,plain,
( ~ sQ16_spl
| ~ sQ62_spl
| p304(sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3263,f240]) ).
fof(f3378,plain,
( ~ sQ28_spl
| ~ sQ62_spl
| p102(sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3263,f278]) ).
fof(f3379,plain,
( ~ sQ62_spl
| p203(sK32_skl(sK51_skl))
| sP9_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3263,f187]) ).
fof(f3380,plain,
( ~ sQ62_spl
| p204(sK32_skl(sK51_skl))
| sP8_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3263,f182]) ).
fof(f3382,plain,
( ~ sQ62_spl
| p304(sK32_skl(sK51_skl))
| sP6_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3263,f172]) ).
fof(f3383,plain,
( ~ sQ62_spl
| p205(sK32_skl(sK51_skl))
| sP5_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3263,f167]) ).
fof(f3384,plain,
( ~ sQ62_spl
| p305(sK32_skl(sK51_skl))
| sP4_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3263,f162]) ).
fof(f3385,plain,
( ~ sQ62_spl
| p405(sK32_skl(sK51_skl))
| sP3_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3263,f157]) ).
fof(f3386,plain,
( ~ sQ62_spl
| p305(sK32_skl(sK51_skl))
| sP2_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3263,f152]) ).
fof(f3387,plain,
( ~ sQ62_spl
| p405(sK32_skl(sK51_skl))
| sP1_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3263,f147]) ).
fof(f3388,plain,
( ~ sQ62_spl
| p405(sK32_skl(sK51_skl))
| sP0_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3263,f142]) ).
fof(f3389,definition,
( sQ554_spl
<=> sP9_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f3390,plain,
( ~ sQ554_spl
| sP9_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3389]) ).
fof(f3392,definition,
( sQ555_spl
<=> p203(sK32_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f3393,plain,
( ~ sQ555_spl
| p203(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3392]) ).
fof(f3394,plain,
( sQ555_spl
| ~ p203(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3392]) ).
fof(f3395,plain,
( ~ sQ62_spl
| sQ555_spl
| sQ554_spl ),
inference(split_clause,[status(thm)],[f3379,f3389,f3392,f687]) ).
fof(f3396,definition,
( sQ556_spl
<=> sP8_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f3397,plain,
( ~ sQ556_spl
| sP8_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3396]) ).
fof(f3398,plain,
( sQ556_spl
| ~ sP8_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3396]) ).
fof(f3399,definition,
( sQ557_spl
<=> p204(sK32_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).
fof(f3400,plain,
( ~ sQ557_spl
| p204(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3399]) ).
fof(f3401,plain,
( sQ557_spl
| ~ p204(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3399]) ).
fof(f3402,plain,
( ~ sQ62_spl
| sQ557_spl
| sQ556_spl ),
inference(split_clause,[status(thm)],[f3380,f3396,f3399,f687]) ).
fof(f3403,definition,
( sQ558_spl
<=> p304(sK32_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ558_spl])],[split_symbol_definition]) ).
fof(f3404,plain,
( ~ sQ558_spl
| p304(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3403]) ).
fof(f3405,plain,
( sQ558_spl
| ~ p304(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3403]) ).
fof(f3407,definition,
( sQ559_spl
<=> sP6_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f3408,plain,
( ~ sQ559_spl
| sP6_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3407]) ).
fof(f3410,plain,
( ~ sQ62_spl
| sQ558_spl
| sQ559_spl ),
inference(split_clause,[status(thm)],[f3382,f3407,f3403,f687]) ).
fof(f3411,definition,
( sQ560_spl
<=> sP5_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).
fof(f3412,plain,
( ~ sQ560_spl
| sP5_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3411]) ).
fof(f3414,definition,
( sQ561_spl
<=> p205(sK32_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f3415,plain,
( ~ sQ561_spl
| p205(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3414]) ).
fof(f3416,plain,
( sQ561_spl
| ~ p205(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3414]) ).
fof(f3417,plain,
( ~ sQ62_spl
| sQ561_spl
| sQ560_spl ),
inference(split_clause,[status(thm)],[f3383,f3411,f3414,f687]) ).
fof(f3418,definition,
( sQ562_spl
<=> sP4_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).
fof(f3419,plain,
( ~ sQ562_spl
| sP4_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3418]) ).
fof(f3420,plain,
( sQ562_spl
| ~ sP4_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3418]) ).
fof(f3421,definition,
( sQ563_spl
<=> p305(sK32_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).
fof(f3422,plain,
( ~ sQ563_spl
| p305(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3421]) ).
fof(f3423,plain,
( sQ563_spl
| ~ p305(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3421]) ).
fof(f3424,plain,
( ~ sQ62_spl
| sQ563_spl
| sQ562_spl ),
inference(split_clause,[status(thm)],[f3384,f3418,f3421,f687]) ).
fof(f3425,definition,
( sQ564_spl
<=> sP3_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).
fof(f3426,plain,
( ~ sQ564_spl
| sP3_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3425]) ).
fof(f3427,plain,
( sQ564_spl
| ~ sP3_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3425]) ).
fof(f3428,definition,
( sQ565_spl
<=> p405(sK32_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).
fof(f3429,plain,
( ~ sQ565_spl
| p405(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3428]) ).
fof(f3430,plain,
( sQ565_spl
| ~ p405(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3428]) ).
fof(f3431,plain,
( ~ sQ62_spl
| sQ565_spl
| sQ564_spl ),
inference(split_clause,[status(thm)],[f3385,f3425,f3428,f687]) ).
fof(f3432,definition,
( sQ566_spl
<=> sP2_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).
fof(f3433,plain,
( ~ sQ566_spl
| sP2_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3432]) ).
fof(f3434,plain,
( sQ566_spl
| ~ sP2_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3432]) ).
fof(f3435,plain,
( ~ sQ62_spl
| sQ563_spl
| sQ566_spl ),
inference(split_clause,[status(thm)],[f3386,f3432,f3421,f687]) ).
fof(f3436,definition,
( sQ567_spl
<=> sP1_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).
fof(f3437,plain,
( ~ sQ567_spl
| sP1_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3436]) ).
fof(f3438,plain,
( sQ567_spl
| ~ sP1_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3436]) ).
fof(f3439,plain,
( ~ sQ62_spl
| sQ565_spl
| sQ567_spl ),
inference(split_clause,[status(thm)],[f3387,f3436,f3428,f687]) ).
fof(f3440,definition,
( sQ568_spl
<=> sP0_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f3441,plain,
( ~ sQ568_spl
| sP0_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3440]) ).
fof(f3443,plain,
( ~ sQ62_spl
| sQ565_spl
| sQ568_spl ),
inference(split_clause,[status(thm)],[f3388,f3440,f3428,f687]) ).
fof(f3444,plain,
( ~ sQ20_spl
| ~ sQ68_spl
| p205(sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3264,f253]) ).
fof(f3445,plain,
( ~ sQ16_spl
| ~ sQ68_spl
| p304(sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3264,f240]) ).
fof(f3446,plain,
( ~ sQ28_spl
| ~ sQ68_spl
| p102(sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3264,f278]) ).
fof(f3447,plain,
( ~ sQ68_spl
| p203(sK34_skl(sK51_skl))
| sP9_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3264,f187]) ).
fof(f3449,plain,
( ~ sQ68_spl
| p304(sK34_skl(sK51_skl))
| sP7_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3264,f177]) ).
fof(f3450,plain,
( ~ sQ68_spl
| p304(sK34_skl(sK51_skl))
| sP6_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3264,f172]) ).
fof(f3451,plain,
( ~ sQ68_spl
| p205(sK34_skl(sK51_skl))
| sP5_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3264,f167]) ).
fof(f3452,plain,
( ~ sQ68_spl
| p305(sK34_skl(sK51_skl))
| sP4_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3264,f162]) ).
fof(f3453,plain,
( ~ sQ68_spl
| p405(sK34_skl(sK51_skl))
| sP3_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3264,f157]) ).
fof(f3454,plain,
( ~ sQ68_spl
| p305(sK34_skl(sK51_skl))
| sP2_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3264,f152]) ).
fof(f3455,plain,
( ~ sQ68_spl
| p405(sK34_skl(sK51_skl))
| sP1_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3264,f147]) ).
fof(f3456,plain,
( ~ sQ68_spl
| p405(sK34_skl(sK51_skl))
| sP0_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3264,f142]) ).
fof(f3457,definition,
( sQ569_spl
<=> sP9_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f3458,plain,
( ~ sQ569_spl
| sP9_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3457]) ).
fof(f3460,definition,
( sQ570_spl
<=> p203(sK34_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ570_spl])],[split_symbol_definition]) ).
fof(f3461,plain,
( ~ sQ570_spl
| p203(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3460]) ).
fof(f3462,plain,
( sQ570_spl
| ~ p203(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3460]) ).
fof(f3463,plain,
( ~ sQ68_spl
| sQ570_spl
| sQ569_spl ),
inference(split_clause,[status(thm)],[f3447,f3457,f3460,f757]) ).
fof(f3468,definition,
( sQ572_spl
<=> sP7_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition]) ).
fof(f3469,plain,
( ~ sQ572_spl
| sP7_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3468]) ).
fof(f3470,plain,
( sQ572_spl
| ~ sP7_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3468]) ).
fof(f3471,definition,
( sQ573_spl
<=> p304(sK34_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ573_spl])],[split_symbol_definition]) ).
fof(f3472,plain,
( ~ sQ573_spl
| p304(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3471]) ).
fof(f3473,plain,
( sQ573_spl
| ~ p304(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3471]) ).
fof(f3474,plain,
( ~ sQ68_spl
| sQ573_spl
| sQ572_spl ),
inference(split_clause,[status(thm)],[f3449,f3468,f3471,f757]) ).
fof(f3475,definition,
( sQ574_spl
<=> sP6_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f3476,plain,
( ~ sQ574_spl
| sP6_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3475]) ).
fof(f3478,plain,
( ~ sQ68_spl
| sQ573_spl
| sQ574_spl ),
inference(split_clause,[status(thm)],[f3450,f3475,f3471,f757]) ).
fof(f3479,definition,
( sQ575_spl
<=> sP5_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).
fof(f3480,plain,
( ~ sQ575_spl
| sP5_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3479]) ).
fof(f3482,definition,
( sQ576_spl
<=> p205(sK34_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).
fof(f3483,plain,
( ~ sQ576_spl
| p205(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3482]) ).
fof(f3484,plain,
( sQ576_spl
| ~ p205(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3482]) ).
fof(f3485,plain,
( ~ sQ68_spl
| sQ576_spl
| sQ575_spl ),
inference(split_clause,[status(thm)],[f3451,f3479,f3482,f757]) ).
fof(f3486,definition,
( sQ577_spl
<=> sP4_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).
fof(f3487,plain,
( ~ sQ577_spl
| sP4_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3486]) ).
fof(f3488,plain,
( sQ577_spl
| ~ sP4_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3486]) ).
fof(f3489,definition,
( sQ578_spl
<=> p305(sK34_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f3490,plain,
( ~ sQ578_spl
| p305(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3489]) ).
fof(f3491,plain,
( sQ578_spl
| ~ p305(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3489]) ).
fof(f3492,plain,
( ~ sQ68_spl
| sQ578_spl
| sQ577_spl ),
inference(split_clause,[status(thm)],[f3452,f3486,f3489,f757]) ).
fof(f3493,definition,
( sQ579_spl
<=> sP3_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f3494,plain,
( ~ sQ579_spl
| sP3_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3493]) ).
fof(f3495,plain,
( sQ579_spl
| ~ sP3_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3493]) ).
fof(f3496,definition,
( sQ580_spl
<=> p405(sK34_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ580_spl])],[split_symbol_definition]) ).
fof(f3497,plain,
( ~ sQ580_spl
| p405(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3496]) ).
fof(f3498,plain,
( sQ580_spl
| ~ p405(sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3496]) ).
fof(f3499,plain,
( ~ sQ68_spl
| sQ580_spl
| sQ579_spl ),
inference(split_clause,[status(thm)],[f3453,f3493,f3496,f757]) ).
fof(f3500,definition,
( sQ581_spl
<=> sP2_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).
fof(f3501,plain,
( ~ sQ581_spl
| sP2_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3500]) ).
fof(f3502,plain,
( sQ581_spl
| ~ sP2_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3500]) ).
fof(f3503,plain,
( ~ sQ68_spl
| sQ578_spl
| sQ581_spl ),
inference(split_clause,[status(thm)],[f3454,f3500,f3489,f757]) ).
fof(f3504,definition,
( sQ582_spl
<=> sP1_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f3505,plain,
( ~ sQ582_spl
| sP1_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3504]) ).
fof(f3506,plain,
( sQ582_spl
| ~ sP1_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3504]) ).
fof(f3507,plain,
( ~ sQ68_spl
| sQ580_spl
| sQ582_spl ),
inference(split_clause,[status(thm)],[f3455,f3504,f3496,f757]) ).
fof(f3508,definition,
( sQ583_spl
<=> sP0_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition]) ).
fof(f3509,plain,
( ~ sQ583_spl
| sP0_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3508]) ).
fof(f3511,plain,
( ~ sQ68_spl
| sQ580_spl
| sQ583_spl ),
inference(split_clause,[status(thm)],[f3456,f3508,f3496,f757]) ).
fof(f3512,plain,
( ~ sQ76_spl
| r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f838,f185]) ).
fof(f3513,plain,
( ~ sQ20_spl
| ~ sQ76_spl
| p205(sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3512,f253]) ).
fof(f3514,plain,
( ~ sQ16_spl
| ~ sQ76_spl
| p304(sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3512,f240]) ).
fof(f3515,plain,
( ~ sQ28_spl
| ~ sQ76_spl
| p102(sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3512,f278]) ).
fof(f3517,plain,
( ~ sQ76_spl
| p204(sK44_skl(sK51_skl))
| sP8_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3512,f182]) ).
fof(f3518,plain,
( ~ sQ76_spl
| p304(sK44_skl(sK51_skl))
| sP7_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3512,f177]) ).
fof(f3519,plain,
( ~ sQ76_spl
| p304(sK44_skl(sK51_skl))
| sP6_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3512,f172]) ).
fof(f3520,plain,
( ~ sQ76_spl
| p205(sK44_skl(sK51_skl))
| sP5_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3512,f167]) ).
fof(f3521,plain,
( ~ sQ76_spl
| p305(sK44_skl(sK51_skl))
| sP4_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3512,f162]) ).
fof(f3522,plain,
( ~ sQ76_spl
| p405(sK44_skl(sK51_skl))
| sP3_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3512,f157]) ).
fof(f3523,plain,
( ~ sQ76_spl
| p305(sK44_skl(sK51_skl))
| sP2_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3512,f152]) ).
fof(f3524,plain,
( ~ sQ76_spl
| p405(sK44_skl(sK51_skl))
| sP1_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3512,f147]) ).
fof(f3525,plain,
( ~ sQ76_spl
| p405(sK44_skl(sK51_skl))
| sP0_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f3512,f142]) ).
fof(f3530,definition,
( sQ585_spl
<=> sP8_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).
fof(f3531,plain,
( ~ sQ585_spl
| sP8_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3530]) ).
fof(f3532,plain,
( sQ585_spl
| ~ sP8_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3530]) ).
fof(f3533,definition,
( sQ586_spl
<=> p204(sK44_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ586_spl])],[split_symbol_definition]) ).
fof(f3534,plain,
( ~ sQ586_spl
| p204(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3533]) ).
fof(f3535,plain,
( sQ586_spl
| ~ p204(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3533]) ).
fof(f3536,plain,
( ~ sQ76_spl
| sQ586_spl
| sQ585_spl ),
inference(split_clause,[status(thm)],[f3517,f3530,f3533,f837]) ).
fof(f3537,definition,
( sQ587_spl
<=> sP7_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ587_spl])],[split_symbol_definition]) ).
fof(f3538,plain,
( ~ sQ587_spl
| sP7_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3537]) ).
fof(f3539,plain,
( sQ587_spl
| ~ sP7_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3537]) ).
fof(f3540,definition,
( sQ588_spl
<=> p304(sK44_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition]) ).
fof(f3541,plain,
( ~ sQ588_spl
| p304(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3540]) ).
fof(f3542,plain,
( sQ588_spl
| ~ p304(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3540]) ).
fof(f3543,plain,
( ~ sQ76_spl
| sQ588_spl
| sQ587_spl ),
inference(split_clause,[status(thm)],[f3518,f3537,f3540,f837]) ).
fof(f3544,definition,
( sQ589_spl
<=> sP6_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).
fof(f3545,plain,
( ~ sQ589_spl
| sP6_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3544]) ).
fof(f3547,plain,
( ~ sQ76_spl
| sQ588_spl
| sQ589_spl ),
inference(split_clause,[status(thm)],[f3519,f3544,f3540,f837]) ).
fof(f3548,definition,
( sQ590_spl
<=> sP5_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition]) ).
fof(f3549,plain,
( ~ sQ590_spl
| sP5_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3548]) ).
fof(f3551,definition,
( sQ591_spl
<=> p205(sK44_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition]) ).
fof(f3552,plain,
( ~ sQ591_spl
| p205(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3551]) ).
fof(f3553,plain,
( sQ591_spl
| ~ p205(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3551]) ).
fof(f3554,plain,
( ~ sQ76_spl
| sQ591_spl
| sQ590_spl ),
inference(split_clause,[status(thm)],[f3520,f3548,f3551,f837]) ).
fof(f3555,definition,
( sQ592_spl
<=> sP4_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).
fof(f3556,plain,
( ~ sQ592_spl
| sP4_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3555]) ).
fof(f3557,plain,
( sQ592_spl
| ~ sP4_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3555]) ).
fof(f3558,definition,
( sQ593_spl
<=> p305(sK44_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition]) ).
fof(f3559,plain,
( ~ sQ593_spl
| p305(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3558]) ).
fof(f3560,plain,
( sQ593_spl
| ~ p305(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3558]) ).
fof(f3561,plain,
( ~ sQ76_spl
| sQ593_spl
| sQ592_spl ),
inference(split_clause,[status(thm)],[f3521,f3555,f3558,f837]) ).
fof(f3562,definition,
( sQ594_spl
<=> sP3_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f3563,plain,
( ~ sQ594_spl
| sP3_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3562]) ).
fof(f3564,plain,
( sQ594_spl
| ~ sP3_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3562]) ).
fof(f3565,definition,
( sQ595_spl
<=> p405(sK44_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f3566,plain,
( ~ sQ595_spl
| p405(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3565]) ).
fof(f3567,plain,
( sQ595_spl
| ~ p405(sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f3565]) ).
fof(f3568,plain,
( ~ sQ76_spl
| sQ595_spl
| sQ594_spl ),
inference(split_clause,[status(thm)],[f3522,f3562,f3565,f837]) ).
fof(f3569,definition,
( sQ596_spl
<=> sP2_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ596_spl])],[split_symbol_definition]) ).
fof(f3570,plain,
( ~ sQ596_spl
| sP2_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3569]) ).
fof(f3571,plain,
( sQ596_spl
| ~ sP2_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3569]) ).
fof(f3572,plain,
( ~ sQ76_spl
| sQ593_spl
| sQ596_spl ),
inference(split_clause,[status(thm)],[f3523,f3569,f3558,f837]) ).
fof(f3573,definition,
( sQ597_spl
<=> sP1_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ597_spl])],[split_symbol_definition]) ).
fof(f3574,plain,
( ~ sQ597_spl
| sP1_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3573]) ).
fof(f3575,plain,
( sQ597_spl
| ~ sP1_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3573]) ).
fof(f3576,plain,
( ~ sQ76_spl
| sQ595_spl
| sQ597_spl ),
inference(split_clause,[status(thm)],[f3524,f3573,f3565,f837]) ).
fof(f3577,definition,
( sQ598_spl
<=> sP0_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition]) ).
fof(f3578,plain,
( ~ sQ598_spl
| sP0_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f3577]) ).
fof(f3580,plain,
( ~ sQ76_spl
| sQ595_spl
| sQ598_spl ),
inference(split_clause,[status(thm)],[f3525,f3577,f3565,f837]) ).
fof(f3581,plain,
! [X0] :
( ~ sQ111_spl
| ~ sP3_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1022,f156]) ).
fof(f3582,plain,
! [X0] :
( ~ sQ111_spl
| ~ sP1_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1022,f146]) ).
fof(f3583,plain,
! [X0] :
( ~ sQ111_spl
| ~ sP0_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1022,f141]) ).
fof(f3584,plain,
( ~ sQ110_spl
| ~ sQ111_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1019,f3583]) ).
fof(f3585,plain,
( ~ sQ110_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3584]) ).
fof(f3586,plain,
! [X0] :
( ~ sQ109_spl
| ~ sP3_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1015,f156]) ).
fof(f3587,plain,
! [X0] :
( ~ sQ109_spl
| ~ sP1_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1015,f146]) ).
fof(f3588,plain,
! [X0] :
( ~ sQ109_spl
| ~ sP0_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1015,f141]) ).
fof(f3589,plain,
( ~ sQ108_spl
| ~ sQ109_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1012,f3588]) ).
fof(f3590,plain,
( ~ sQ108_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f3589]) ).
fof(f3591,plain,
! [X0] :
( ~ sQ107_spl
| ~ sP3_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1008,f156]) ).
fof(f3592,plain,
! [X0] :
( ~ sQ107_spl
| ~ sP1_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1008,f146]) ).
fof(f3593,plain,
! [X0] :
( ~ sQ107_spl
| ~ sP0_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1008,f141]) ).
fof(f3594,plain,
( ~ sQ400_spl
| ~ sQ107_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2378,f3591]) ).
fof(f3595,plain,
( ~ sQ402_spl
| ~ sQ107_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2386,f3592]) ).
fof(f3596,plain,
( ~ sQ106_spl
| ~ sQ107_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1005,f3593]) ).
fof(f3597,plain,
( ~ sQ400_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3594]) ).
fof(f3598,plain,
( ~ sQ358_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f3241]) ).
fof(f3599,plain,
( ~ sQ162_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3248]) ).
fof(f3600,plain,
( ~ sQ511_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f3260]) ).
fof(f3601,plain,
( ~ sQ402_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3595]) ).
fof(f3602,plain,
( ~ sQ344_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3222]) ).
fof(f3603,plain,
( ~ sQ163_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3229]) ).
fof(f3604,plain,
( ~ sQ112_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f3261]) ).
fof(f3605,plain,
( ~ sQ106_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3596]) ).
fof(f3606,plain,
( ~ sQ330_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f2880]) ).
fof(f3607,plain,
( ~ sQ164_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f3115]) ).
fof(f3611,plain,
( ~ sQ16_spl
| ~ sQ74_spl
| p304(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f816,f240]) ).
fof(f3634,plain,
( ~ sQ16_spl
| ~ sQ59_spl
| p304(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f240]) ).
fof(f3657,plain,
( ~ sQ16_spl
| ~ sQ67_spl
| p304(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f747,f240]) ).
fof(f3679,plain,
! [X0] :
( ~ sQ105_spl
| ~ sP3_prd(sK38_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1001,f156]) ).
fof(f3680,plain,
! [X0] :
( ~ sQ105_spl
| ~ sP1_prd(sK38_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1001,f146]) ).
fof(f3681,plain,
! [X0] :
( ~ sQ105_spl
| ~ sP0_prd(sK38_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1001,f141]) ).
fof(f3682,plain,
( ~ sQ104_spl
| ~ sQ105_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f998,f3681]) ).
fof(f3683,plain,
( ~ sQ104_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f3682]) ).
fof(f3684,plain,
! [X0] :
( ~ sQ103_spl
| ~ sP3_prd(sK39_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f994,f156]) ).
fof(f3685,plain,
! [X0] :
( ~ sQ103_spl
| ~ sP1_prd(sK39_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f994,f146]) ).
fof(f3686,plain,
! [X0] :
( ~ sQ103_spl
| ~ sP0_prd(sK39_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f994,f141]) ).
fof(f3687,plain,
( ~ sQ102_spl
| ~ sQ103_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f991,f3686]) ).
fof(f3688,plain,
( ~ sQ102_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f3687]) ).
fof(f3689,plain,
! [X0] :
( ~ sQ101_spl
| ~ sP3_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f987,f156]) ).
fof(f3690,plain,
! [X0] :
( ~ sQ101_spl
| ~ sP1_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f987,f146]) ).
fof(f3691,plain,
! [X0] :
( ~ sQ101_spl
| ~ sP0_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f987,f141]) ).
fof(f3692,plain,
( ~ sQ523_spl
| ~ sQ101_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3087,f3689]) ).
fof(f3693,plain,
( ~ sQ525_spl
| ~ sQ101_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3095,f3690]) ).
fof(f3694,plain,
( ~ sQ100_spl
| ~ sQ101_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f984,f3691]) ).
fof(f3695,plain,
( ~ sQ523_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f3692]) ).
fof(f3696,plain,
( ~ sQ20_spl
| ~ sQ73_spl
| p205(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f253]) ).
fof(f3697,plain,
( ~ sQ16_spl
| ~ sQ73_spl
| p304(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f240]) ).
fof(f3719,plain,
( ~ sQ20_spl
| ~ sQ64_spl
| p205(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f253]) ).
fof(f3720,plain,
( ~ sQ16_spl
| ~ sQ64_spl
| p304(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f240]) ).
fof(f3742,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| p205(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f253]) ).
fof(f3743,plain,
( ~ sQ16_spl
| ~ sQ70_spl
| p304(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f240]) ).
fof(f3765,plain,
! [X0] :
( ~ sQ99_spl
| ~ sP3_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f980,f156]) ).
fof(f3766,plain,
! [X0] :
( ~ sQ99_spl
| ~ sP1_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f980,f146]) ).
fof(f3767,plain,
! [X0] :
( ~ sQ99_spl
| ~ sP0_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f980,f141]) ).
fof(f3768,plain,
( ~ sQ98_spl
| ~ sQ99_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f977,f3767]) ).
fof(f3769,plain,
( ~ sQ98_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f3768]) ).
fof(f3770,plain,
! [X0] :
( ~ sQ97_spl
| ~ sP3_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f973,f156]) ).
fof(f3771,plain,
! [X0] :
( ~ sQ97_spl
| ~ sP1_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f973,f146]) ).
fof(f3772,plain,
! [X0] :
( ~ sQ97_spl
| ~ sP0_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f973,f141]) ).
fof(f3773,plain,
( ~ sQ414_spl
| ~ sQ97_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2444,f3770]) ).
fof(f3774,plain,
( ~ sQ416_spl
| ~ sQ97_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2452,f3771]) ).
fof(f3775,plain,
( ~ sQ96_spl
| ~ sQ97_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f970,f3772]) ).
fof(f3776,plain,
( ~ sQ414_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3773]) ).
fof(f3777,plain,
( ~ sQ118_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f3242]) ).
fof(f3778,plain,
( ~ sQ116_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3249]) ).
fof(f3779,plain,
( ~ sQ525_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f3693]) ).
fof(f3780,plain,
( ~ sQ416_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3774]) ).
fof(f3781,plain,
( ~ sQ124_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3223]) ).
fof(f3782,plain,
( ~ sQ122_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3230]) ).
fof(f3783,plain,
( ~ sQ100_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f3694]) ).
fof(f3784,plain,
( ~ sQ96_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3775]) ).
fof(f3785,plain,
( ~ sQ130_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f2881]) ).
fof(f3786,plain,
( ~ sQ128_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f3116]) ).
fof(f3788,plain,
( ~ sQ16_spl
| ~ sQ74_spl
| p304(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f816,f240]) ).
fof(f3811,plain,
( ~ sQ16_spl
| ~ sQ59_spl
| p304(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f240]) ).
fof(f3835,plain,
( ~ sQ16_spl
| ~ sQ67_spl
| p304(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f747,f240]) ).
fof(f3857,plain,
! [X0] :
( ~ sQ95_spl
| ~ sP3_prd(sK42_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f966,f156]) ).
fof(f3858,plain,
! [X0] :
( ~ sQ95_spl
| ~ sP1_prd(sK42_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f966,f146]) ).
fof(f3859,plain,
! [X0] :
( ~ sQ95_spl
| ~ sP0_prd(sK42_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f966,f141]) ).
fof(f3860,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f963,f3859]) ).
fof(f3861,plain,
( ~ sQ94_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f3860]) ).
fof(f3862,plain,
! [X0] :
( ~ sQ93_spl
| ~ sP3_prd(sK43_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f959,f156]) ).
fof(f3863,plain,
! [X0] :
( ~ sQ93_spl
| ~ sP1_prd(sK43_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f959,f146]) ).
fof(f3864,plain,
! [X0] :
( ~ sQ93_spl
| ~ sP0_prd(sK43_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f959,f141]) ).
fof(f3865,plain,
( ~ sQ92_spl
| ~ sQ93_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f956,f3864]) ).
fof(f3866,plain,
( ~ sQ92_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f3865]) ).
fof(f3867,plain,
! [X0] :
( ~ sQ91_spl
| ~ sP3_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f952,f156]) ).
fof(f3868,plain,
! [X0] :
( ~ sQ91_spl
| ~ sP1_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f952,f146]) ).
fof(f3869,plain,
! [X0] :
( ~ sQ91_spl
| ~ sP0_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f952,f141]) ).
fof(f3870,plain,
( ~ sQ551_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3364,f3867]) ).
fof(f3871,plain,
( ~ sQ553_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3372,f3868]) ).
fof(f3872,plain,
( ~ sQ90_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f949,f3869]) ).
fof(f3873,plain,
( ~ sQ551_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f3870]) ).
fof(f3874,plain,
! [X0] :
( ~ sQ89_spl
| ~ sP3_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f945,f156]) ).
fof(f3875,plain,
! [X0] :
( ~ sQ89_spl
| ~ sP1_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f945,f146]) ).
fof(f3876,plain,
! [X0] :
( ~ sQ89_spl
| ~ sP0_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f945,f141]) ).
fof(f3877,plain,
( ~ sQ537_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3201,f3874]) ).
fof(f3878,plain,
( ~ sQ539_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3209,f3875]) ).
fof(f3879,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f942,f3876]) ).
fof(f3880,plain,
( ~ sQ537_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3877]) ).
fof(f3881,plain,
( ~ sQ20_spl
| ~ sQ64_spl
| p205(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f253]) ).
fof(f3882,plain,
( ~ sQ16_spl
| ~ sQ64_spl
| p304(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f240]) ).
fof(f3906,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| p205(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f253]) ).
fof(f3907,plain,
( ~ sQ16_spl
| ~ sQ70_spl
| p304(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f240]) ).
fof(f3929,plain,
( ~ sQ20_spl
| ~ sQ50_spl
| p205(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f253]) ).
fof(f3930,plain,
( ~ sQ16_spl
| ~ sQ50_spl
| p304(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f240]) ).
fof(f3952,plain,
( ~ sQ20_spl
| ~ sQ53_spl
| p205(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f253]) ).
fof(f3953,plain,
( ~ sQ16_spl
| ~ sQ53_spl
| p304(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f240]) ).
fof(f3975,plain,
( ~ sQ20_spl
| ~ sQ56_spl
| p205(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f253]) ).
fof(f3976,plain,
( ~ sQ16_spl
| ~ sQ56_spl
| p304(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f240]) ).
fof(f3998,plain,
! [X0] :
( ~ sQ87_spl
| ~ sP3_prd(sK48_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f938,f156]) ).
fof(f3999,plain,
! [X0] :
( ~ sQ87_spl
| ~ sP1_prd(sK48_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f938,f146]) ).
fof(f4000,plain,
! [X0] :
( ~ sQ87_spl
| ~ sP0_prd(sK48_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f938,f141]) ).
fof(f4001,plain,
( ~ sQ86_spl
| ~ sQ87_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f935,f4000]) ).
fof(f4002,plain,
( ~ sQ86_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f4001]) ).
fof(f4003,plain,
! [X0] :
( ~ sQ85_spl
| ~ sP3_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f931,f156]) ).
fof(f4004,plain,
! [X0] :
( ~ sQ85_spl
| ~ sP1_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f931,f146]) ).
fof(f4005,plain,
! [X0] :
( ~ sQ85_spl
| ~ sP0_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f931,f141]) ).
fof(f4006,plain,
( ~ sQ84_spl
| ~ sQ85_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f928,f4005]) ).
fof(f4007,plain,
( ~ sQ84_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4006]) ).
fof(f4008,plain,
! [X0] :
( ~ sQ83_spl
| ~ sP3_prd(sK49_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f924,f156]) ).
fof(f4009,plain,
! [X0] :
( ~ sQ83_spl
| ~ sP1_prd(sK49_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f924,f146]) ).
fof(f4010,plain,
! [X0] :
( ~ sQ83_spl
| ~ sP0_prd(sK49_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f924,f141]) ).
fof(f4011,plain,
( ~ sQ82_spl
| ~ sQ83_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f921,f4010]) ).
fof(f4012,plain,
( ~ sQ82_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f4011]) ).
fof(f4013,plain,
! [X0] :
( ~ sQ81_spl
| ~ sP3_prd(sK50_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f917,f156]) ).
fof(f4014,plain,
! [X0] :
( ~ sQ81_spl
| ~ sP1_prd(sK50_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f917,f146]) ).
fof(f4015,plain,
! [X0] :
( ~ sQ81_spl
| ~ sP0_prd(sK50_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f917,f141]) ).
fof(f4016,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f914,f4015]) ).
fof(f4017,plain,
( ~ sQ80_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f4016]) ).
fof(f4018,plain,
! [X0] :
( ~ sQ216_spl
| ~ sP5_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1464,f166]) ).
fof(f4019,plain,
( ~ sQ215_spl
| ~ sQ216_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1461,f4018]) ).
fof(f4020,plain,
( ~ sQ215_spl
| ~ sQ216_spl ),
inference(contradiction_clause,[status(thm)],[f4019]) ).
fof(f4021,plain,
! [X0] :
( ~ sQ214_spl
| ~ sP5_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1457,f166]) ).
fof(f4022,plain,
( ~ sQ213_spl
| ~ sQ214_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1454,f4021]) ).
fof(f4023,plain,
( ~ sQ213_spl
| ~ sQ214_spl ),
inference(contradiction_clause,[status(thm)],[f4022]) ).
fof(f4024,plain,
( ~ sQ212_spl
| ~ p605(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1450,f28]) ).
fof(f4025,plain,
! [X0] :
( ~ sQ212_spl
| ~ sP5_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1450,f166]) ).
fof(f4026,plain,
( ~ sQ212_spl
| ~ sQ0_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f4024,f1320,f188,f1449]) ).
fof(f4027,plain,
( ~ sQ211_spl
| ~ sQ212_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1447,f4025]) ).
fof(f4028,plain,
( ~ sQ211_spl
| ~ sQ212_spl ),
inference(contradiction_clause,[status(thm)],[f4027]) ).
fof(f4029,plain,
! [X0] :
( ~ sQ210_spl
| ~ sP5_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1443,f166]) ).
fof(f4030,plain,
( ~ sQ209_spl
| ~ sQ210_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1440,f4029]) ).
fof(f4031,plain,
( ~ sQ209_spl
| ~ sQ210_spl ),
inference(contradiction_clause,[status(thm)],[f4030]) ).
fof(f4032,plain,
! [X0] :
( ~ sQ208_spl
| ~ sP5_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1436,f166]) ).
fof(f4033,plain,
( ~ sQ207_spl
| ~ sQ208_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1433,f4032]) ).
fof(f4034,plain,
( ~ sQ207_spl
| ~ sQ208_spl ),
inference(contradiction_clause,[status(thm)],[f4033]) ).
fof(f4035,plain,
! [X0] :
( ~ sQ206_spl
| ~ sP5_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1429,f166]) ).
fof(f4036,plain,
( ~ sQ205_spl
| ~ sQ206_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1426,f4035]) ).
fof(f4037,plain,
( ~ sQ205_spl
| ~ sQ206_spl ),
inference(contradiction_clause,[status(thm)],[f4036]) ).
fof(f4038,plain,
! [X0] :
( ~ sQ204_spl
| ~ sP5_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1422,f166]) ).
fof(f4039,plain,
( ~ sQ203_spl
| ~ sQ204_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1419,f4038]) ).
fof(f4040,plain,
( ~ sQ203_spl
| ~ sQ204_spl ),
inference(contradiction_clause,[status(thm)],[f4039]) ).
fof(f4044,plain,
! [X0] :
( ~ sQ171_spl
| ~ sP4_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1261,f161]) ).
fof(f4045,plain,
! [X0] :
( ~ sQ171_spl
| ~ sP2_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1261,f151]) ).
fof(f4046,plain,
( ~ sQ195_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1377,f4044]) ).
fof(f4047,plain,
( ~ sQ170_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1258,f4045]) ).
fof(f4048,plain,
( ~ sQ195_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f4046]) ).
fof(f4049,plain,
! [X0] :
( ~ sQ173_spl
| ~ sP4_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1268,f161]) ).
fof(f4050,plain,
! [X0] :
( ~ sQ173_spl
| ~ sP2_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1268,f151]) ).
fof(f4051,plain,
( ~ sQ196_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1381,f4049]) ).
fof(f4052,plain,
( ~ sQ172_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1265,f4050]) ).
fof(f4053,plain,
( ~ sQ196_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f4051]) ).
fof(f4054,plain,
! [X0] :
( ~ sQ175_spl
| ~ sP4_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1275,f161]) ).
fof(f4055,plain,
! [X0] :
( ~ sQ175_spl
| ~ sP2_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1275,f151]) ).
fof(f4056,plain,
( ~ sQ197_spl
| ~ sQ175_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1385,f4054]) ).
fof(f4057,plain,
( ~ sQ174_spl
| ~ sQ175_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1272,f4055]) ).
fof(f4058,plain,
( ~ sQ197_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f4056]) ).
fof(f4059,plain,
! [X0] :
( ~ sQ177_spl
| ~ sP4_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1282,f161]) ).
fof(f4060,plain,
! [X0] :
( ~ sQ177_spl
| ~ sP2_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1282,f151]) ).
fof(f4061,plain,
( ~ sQ198_spl
| ~ sQ177_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1389,f4059]) ).
fof(f4062,plain,
( ~ sQ176_spl
| ~ sQ177_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1279,f4060]) ).
fof(f4063,plain,
( ~ sQ198_spl
| ~ sQ177_spl ),
inference(contradiction_clause,[status(thm)],[f4061]) ).
fof(f4064,plain,
! [X0] :
( ~ sQ179_spl
| ~ sP4_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1289,f161]) ).
fof(f4065,plain,
! [X0] :
( ~ sQ179_spl
| ~ sP2_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1289,f151]) ).
fof(f4066,plain,
( ~ sQ199_spl
| ~ sQ179_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1393,f4064]) ).
fof(f4067,plain,
( ~ sQ178_spl
| ~ sQ179_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1286,f4065]) ).
fof(f4068,plain,
( ~ sQ199_spl
| ~ sQ179_spl ),
inference(contradiction_clause,[status(thm)],[f4066]) ).
fof(f4070,plain,
( ~ sQ181_spl
| ~ p605(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1296,f22]) ).
fof(f4071,plain,
! [X0] :
( ~ sQ181_spl
| ~ sP4_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1296,f161]) ).
fof(f4072,plain,
! [X0] :
( ~ sQ181_spl
| ~ sP2_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1296,f151]) ).
fof(f4073,plain,
( ~ sQ181_spl
| ~ sQ0_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f4070,f1320,f188,f1295]) ).
fof(f4074,plain,
( ~ sQ200_spl
| ~ sQ181_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1397,f4071]) ).
fof(f4075,plain,
( ~ sQ180_spl
| ~ sQ181_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1293,f4072]) ).
fof(f4076,plain,
( ~ sQ200_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f4074]) ).
fof(f4077,plain,
! [X0] :
( ~ sQ183_spl
| ~ sP4_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1303,f161]) ).
fof(f4078,plain,
! [X0] :
( ~ sQ183_spl
| ~ sP2_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1303,f151]) ).
fof(f4079,plain,
( ~ sQ182_spl
| ~ sQ183_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1300,f4078]) ).
fof(f4080,plain,
( ~ sQ182_spl
| ~ sQ183_spl ),
inference(contradiction_clause,[status(thm)],[f4079]) ).
fof(f4081,plain,
! [X0] :
( ~ sQ232_spl
| ~ sP7_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1536,f176]) ).
fof(f4082,plain,
! [X0] :
( ~ sQ232_spl
| ~ sP6_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1536,f171]) ).
fof(f4083,plain,
( ~ sQ241_spl
| ~ sQ232_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1585,f4081]) ).
fof(f4084,plain,
( ~ sQ231_spl
| ~ sQ232_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1533,f4082]) ).
fof(f4085,plain,
( ~ sQ241_spl
| ~ sQ232_spl ),
inference(contradiction_clause,[status(thm)],[f4083]) ).
fof(f4086,plain,
! [X0] :
( ~ sQ230_spl
| ~ sP7_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1529,f176]) ).
fof(f4087,plain,
! [X0] :
( ~ sQ230_spl
| ~ sP6_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1529,f171]) ).
fof(f4088,plain,
( ~ sQ240_spl
| ~ sQ230_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1581,f4086]) ).
fof(f4089,plain,
( ~ sQ229_spl
| ~ sQ230_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1526,f4087]) ).
fof(f4090,plain,
( ~ sQ240_spl
| ~ sQ230_spl ),
inference(contradiction_clause,[status(thm)],[f4088]) ).
fof(f4091,plain,
! [X0] :
( ~ sQ228_spl
| ~ sP7_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1522,f176]) ).
fof(f4092,plain,
! [X0] :
( ~ sQ228_spl
| ~ sP6_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1522,f171]) ).
fof(f4093,plain,
( ~ sQ239_spl
| ~ sQ228_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1577,f4091]) ).
fof(f4094,plain,
( ~ sQ227_spl
| ~ sQ228_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1519,f4092]) ).
fof(f4095,plain,
( ~ sQ239_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f4093]) ).
fof(f4096,plain,
! [X0] :
( ~ sQ226_spl
| ~ sP7_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1515,f176]) ).
fof(f4097,plain,
! [X0] :
( ~ sQ226_spl
| ~ sP6_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1515,f171]) ).
fof(f4098,plain,
( ~ sQ238_spl
| ~ sQ226_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1573,f4096]) ).
fof(f4099,plain,
( ~ sQ225_spl
| ~ sQ226_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1512,f4097]) ).
fof(f4100,plain,
( ~ sQ238_spl
| ~ sQ226_spl ),
inference(contradiction_clause,[status(thm)],[f4098]) ).
fof(f4101,plain,
( ~ sQ224_spl
| ~ p504(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1508,f51]) ).
fof(f4102,plain,
! [X0] :
( ~ sQ224_spl
| ~ sP7_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1508,f176]) ).
fof(f4103,plain,
! [X0] :
( ~ sQ224_spl
| ~ sP6_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1508,f171]) ).
fof(f4104,plain,
( ~ sQ224_spl
| ~ sQ6_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f4101,f1320,f207,f1507]) ).
fof(f4105,plain,
( ~ sQ237_spl
| ~ sQ224_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1569,f4102]) ).
fof(f4106,plain,
( ~ sQ223_spl
| ~ sQ224_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1505,f4103]) ).
fof(f4107,plain,
( ~ sQ237_spl
| ~ sQ224_spl ),
inference(contradiction_clause,[status(thm)],[f4105]) ).
fof(f4108,plain,
! [X0] :
( ~ sQ222_spl
| ~ sP7_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1501,f176]) ).
fof(f4109,plain,
! [X0] :
( ~ sQ222_spl
| ~ sP6_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1501,f171]) ).
fof(f4110,plain,
( ~ sQ236_spl
| ~ sQ222_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1565,f4108]) ).
fof(f4111,plain,
( ~ sQ221_spl
| ~ sQ222_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1498,f4109]) ).
fof(f4112,plain,
( ~ sQ236_spl
| ~ sQ222_spl ),
inference(contradiction_clause,[status(thm)],[f4110]) ).
fof(f4113,plain,
! [X0] :
( ~ sQ220_spl
| ~ sP7_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1494,f176]) ).
fof(f4114,plain,
! [X0] :
( ~ sQ220_spl
| ~ sP6_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1494,f171]) ).
fof(f4115,plain,
( ~ sQ235_spl
| ~ sQ220_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1561,f4113]) ).
fof(f4116,plain,
( ~ sQ219_spl
| ~ sQ220_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1491,f4114]) ).
fof(f4117,plain,
( ~ sQ235_spl
| ~ sQ220_spl ),
inference(contradiction_clause,[status(thm)],[f4115]) ).
fof(f4118,plain,
! [X0] :
( ~ sQ256_spl
| ~ sP8_prd(sK1_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1648,f181]) ).
fof(f4119,plain,
( ~ sQ255_spl
| ~ sQ256_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1645,f4118]) ).
fof(f4120,plain,
( ~ sQ255_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f4119]) ).
fof(f4122,plain,
! [X0] :
( ~ sQ254_spl
| ~ sP8_prd(sK3_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1641,f181]) ).
fof(f4123,plain,
( ~ sQ253_spl
| ~ sQ254_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1638,f4122]) ).
fof(f4124,plain,
( ~ sQ253_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f4123]) ).
fof(f4125,plain,
! [X0] :
( ~ sQ252_spl
| ~ sP8_prd(sK7_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1634,f181]) ).
fof(f4126,plain,
( ~ sQ251_spl
| ~ sQ252_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1631,f4125]) ).
fof(f4127,plain,
( ~ sQ251_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f4126]) ).
fof(f4128,plain,
! [X0] :
( ~ sQ250_spl
| ~ sP8_prd(sK13_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1627,f181]) ).
fof(f4129,plain,
( ~ sQ249_spl
| ~ sQ250_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1624,f4128]) ).
fof(f4130,plain,
( ~ sQ249_spl
| ~ sQ250_spl ),
inference(contradiction_clause,[status(thm)],[f4129]) ).
fof(f4131,plain,
! [X0] :
( ~ sQ248_spl
| ~ sP8_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1620,f181]) ).
fof(f4132,plain,
( ~ sQ247_spl
| ~ sQ248_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1617,f4131]) ).
fof(f4133,plain,
( ~ sQ247_spl
| ~ sQ248_spl ),
inference(contradiction_clause,[status(thm)],[f4132]) ).
fof(f4134,plain,
( ~ sQ246_spl
| ~ p504(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1613,f57]) ).
fof(f4135,plain,
! [X0] :
( ~ sQ246_spl
| ~ sP8_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1613,f181]) ).
fof(f4136,plain,
( ~ sQ246_spl
| ~ sQ6_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f4134,f1320,f207,f1612]) ).
fof(f4137,plain,
( ~ sQ245_spl
| ~ sQ246_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1610,f4135]) ).
fof(f4138,plain,
( ~ sQ245_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f4137]) ).
fof(f4139,plain,
! [X0] :
( ~ sQ244_spl
| ~ sP8_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1606,f181]) ).
fof(f4140,plain,
( ~ sQ243_spl
| ~ sQ244_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1603,f4139]) ).
fof(f4141,plain,
( ~ sQ243_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f4140]) ).
fof(f4142,plain,
! [X0] :
( ~ sQ271_spl
| ~ sP4_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1729,f161]) ).
fof(f4143,plain,
! [X0] :
( ~ sQ271_spl
| ~ sP2_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1729,f151]) ).
fof(f4144,plain,
( ~ sQ270_spl
| ~ sQ271_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1726,f4142]) ).
fof(f4145,plain,
( ~ sQ273_spl
| ~ sQ271_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1737,f4143]) ).
fof(f4146,plain,
( ~ sQ270_spl
| ~ sQ271_spl ),
inference(contradiction_clause,[status(thm)],[f4144]) ).
fof(f4147,plain,
( ~ sQ285_spl
| ~ p505(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1798,f24]) ).
fof(f4148,plain,
! [X0] :
( ~ sQ285_spl
| ~ sP4_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1798,f161]) ).
fof(f4149,plain,
! [X0] :
( ~ sQ285_spl
| ~ sP2_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1798,f151]) ).
fof(f4150,plain,
( ~ sQ285_spl
| ~ sQ5_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f4147,f1320,f204,f1797]) ).
fof(f4151,plain,
( ~ sQ284_spl
| ~ sQ285_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1795,f4148]) ).
fof(f4152,plain,
( ~ sQ287_spl
| ~ sQ285_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1806,f4149]) ).
fof(f4153,plain,
( ~ sQ284_spl
| ~ sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f4151]) ).
fof(f4154,plain,
! [X0] :
( ~ sQ299_spl
| ~ sP4_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1867,f161]) ).
fof(f4155,plain,
! [X0] :
( ~ sQ299_spl
| ~ sP2_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1867,f151]) ).
fof(f4156,plain,
( ~ sQ298_spl
| ~ sQ299_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1864,f4154]) ).
fof(f4157,plain,
( ~ sQ301_spl
| ~ sQ299_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1875,f4155]) ).
fof(f4158,plain,
( ~ sQ298_spl
| ~ sQ299_spl ),
inference(contradiction_clause,[status(thm)],[f4156]) ).
fof(f4159,plain,
! [X0] :
( ~ sQ313_spl
| ~ sP4_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1937,f161]) ).
fof(f4160,plain,
! [X0] :
( ~ sQ313_spl
| ~ sP2_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1937,f151]) ).
fof(f4161,plain,
( ~ sQ312_spl
| ~ sQ313_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1934,f4159]) ).
fof(f4162,plain,
( ~ sQ315_spl
| ~ sQ313_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1945,f4160]) ).
fof(f4163,plain,
( ~ sQ312_spl
| ~ sQ313_spl ),
inference(contradiction_clause,[status(thm)],[f4161]) ).
fof(f4164,plain,
! [X0] :
( ~ sQ327_spl
| ~ sP4_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2006,f161]) ).
fof(f4165,plain,
! [X0] :
( ~ sQ327_spl
| ~ sP2_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2006,f151]) ).
fof(f4166,plain,
( ~ sQ326_spl
| ~ sQ327_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2003,f4164]) ).
fof(f4167,plain,
( ~ sQ329_spl
| ~ sQ327_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2014,f4165]) ).
fof(f4168,plain,
( ~ sQ326_spl
| ~ sQ327_spl ),
inference(contradiction_clause,[status(thm)],[f4166]) ).
fof(f4169,plain,
( ~ sQ553_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f3871]) ).
fof(f4170,plain,
( ~ sQ539_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3878]) ).
fof(f4171,plain,
( ~ sQ329_spl
| ~ sQ327_spl ),
inference(contradiction_clause,[status(thm)],[f4167]) ).
fof(f4172,plain,
( ~ sQ90_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f3872]) ).
fof(f4173,plain,
( ~ sQ88_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3879]) ).
fof(f4174,plain,
( ~ sQ20_spl
| ~ sQ64_spl
| p205(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f253]) ).
fof(f4175,plain,
( ~ sQ16_spl
| ~ sQ64_spl
| p304(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f714,f240]) ).
fof(f4197,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| p205(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f253]) ).
fof(f4198,plain,
( ~ sQ16_spl
| ~ sQ70_spl
| p304(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f772,f240]) ).
fof(f4220,plain,
( ~ sQ20_spl
| ~ sQ50_spl
| p205(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f253]) ).
fof(f4221,plain,
( ~ sQ16_spl
| ~ sQ50_spl
| p304(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f570,f240]) ).
fof(f4243,plain,
( ~ sQ20_spl
| ~ sQ53_spl
| p205(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f253]) ).
fof(f4244,plain,
( ~ sQ16_spl
| ~ sQ53_spl
| p304(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f609,f240]) ).
fof(f4266,plain,
( ~ sQ20_spl
| ~ sQ56_spl
| p205(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f253]) ).
fof(f4267,plain,
( ~ sQ16_spl
| ~ sQ56_spl
| p304(sK29_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f240]) ).
fof(f4289,plain,
! [X0] :
( ~ sQ341_spl
| ~ sP4_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2075,f161]) ).
fof(f4290,plain,
! [X0] :
( ~ sQ341_spl
| ~ sP2_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2075,f151]) ).
fof(f4291,plain,
( ~ sQ340_spl
| ~ sQ341_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2072,f4289]) ).
fof(f4292,plain,
( ~ sQ343_spl
| ~ sQ341_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2083,f4290]) ).
fof(f4293,plain,
( ~ sQ340_spl
| ~ sQ341_spl ),
inference(contradiction_clause,[status(thm)],[f4291]) ).
fof(f4294,plain,
( ~ sQ20_spl
| ~ sQ73_spl
| p205(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f253]) ).
fof(f4295,plain,
( ~ sQ16_spl
| ~ sQ73_spl
| p304(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f805,f240]) ).
fof(f4317,plain,
! [X0] :
( ~ sQ355_spl
| ~ sP4_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2144,f161]) ).
fof(f4318,plain,
! [X0] :
( ~ sQ355_spl
| ~ sP2_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2144,f151]) ).
fof(f4319,plain,
( ~ sQ354_spl
| ~ sQ355_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2141,f4317]) ).
fof(f4320,plain,
( ~ sQ357_spl
| ~ sQ355_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2152,f4318]) ).
fof(f4321,plain,
( ~ sQ354_spl
| ~ sQ355_spl ),
inference(contradiction_clause,[status(thm)],[f4319]) ).
fof(f4322,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| ~ sP7_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2163,f176]) ).
fof(f4323,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| ~ sP6_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2163,f171]) ).
fof(f4324,plain,
( ~ sQ363_spl
| ~ sQ16_spl
| ~ sQ34_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2192,f4322]) ).
fof(f4325,plain,
( ~ sQ365_spl
| ~ sQ16_spl
| ~ sQ34_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2199,f4323]) ).
fof(f4326,plain,
( ~ sQ363_spl
| ~ sQ16_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f4324]) ).
fof(f4327,plain,
( ~ sQ73_spl
| ~ sQ15_spl
| p305(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f805]) ).
fof(f4328,plain,
( ~ sQ70_spl
| ~ sQ15_spl
| p305(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f772]) ).
fof(f4329,plain,
( ~ sQ64_spl
| ~ sQ15_spl
| p305(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f714]) ).
fof(f4338,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| p305(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f1883]) ).
fof(f4339,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| p305(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f1672]) ).
fof(f4340,plain,
! [X0] :
( ~ sQ369_spl
| ~ sP4_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2213,f161]) ).
fof(f4341,plain,
! [X0] :
( ~ sQ369_spl
| ~ sP2_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2213,f151]) ).
fof(f4342,plain,
( ~ sQ368_spl
| ~ sQ369_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2210,f4340]) ).
fof(f4343,plain,
( ~ sQ372_spl
| ~ sQ369_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2224,f4341]) ).
fof(f4344,plain,
( ~ sQ368_spl
| ~ sQ369_spl ),
inference(contradiction_clause,[status(thm)],[f4342]) ).
fof(f4348,plain,
( ~ sQ35_spl
| p203(sK6_skl(sK51_skl))
| sP9_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f359,f187]) ).
fof(f4349,plain,
( ~ sQ35_spl
| p204(sK6_skl(sK51_skl))
| sP8_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f359,f182]) ).
fof(f4350,plain,
( ~ sQ35_spl
| p304(sK6_skl(sK51_skl))
| sP7_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f359,f177]) ).
fof(f4351,plain,
( ~ sQ35_spl
| p304(sK6_skl(sK51_skl))
| sP6_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f359,f172]) ).
fof(f4352,plain,
( ~ sQ35_spl
| p205(sK6_skl(sK51_skl))
| sP5_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f359,f167]) ).
fof(f4353,plain,
( ~ sQ35_spl
| p305(sK6_skl(sK51_skl))
| sP4_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f359,f162]) ).
fof(f4354,plain,
( ~ sQ35_spl
| p405(sK6_skl(sK51_skl))
| sP3_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f359,f157]) ).
fof(f4355,plain,
( ~ sQ35_spl
| p305(sK6_skl(sK51_skl))
| sP2_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f359,f152]) ).
fof(f4356,plain,
( ~ sQ35_spl
| p405(sK6_skl(sK51_skl))
| sP1_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f359,f147]) ).
fof(f4358,definition,
( sQ599_spl
<=> sP9_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition]) ).
fof(f4359,plain,
( ~ sQ599_spl
| sP9_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4358]) ).
fof(f4361,definition,
( sQ600_spl
<=> p203(sK6_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).
fof(f4362,plain,
( ~ sQ600_spl
| p203(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4361]) ).
fof(f4363,plain,
( sQ600_spl
| ~ p203(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4361]) ).
fof(f4364,plain,
( ~ sQ35_spl
| sQ600_spl
| sQ599_spl ),
inference(split_clause,[status(thm)],[f4348,f4358,f4361,f358]) ).
fof(f4365,definition,
( sQ601_spl
<=> sP8_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition]) ).
fof(f4366,plain,
( ~ sQ601_spl
| sP8_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4365]) ).
fof(f4368,definition,
( sQ602_spl
<=> p204(sK6_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ602_spl])],[split_symbol_definition]) ).
fof(f4369,plain,
( ~ sQ602_spl
| p204(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4368]) ).
fof(f4370,plain,
( sQ602_spl
| ~ p204(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4368]) ).
fof(f4371,plain,
( ~ sQ35_spl
| sQ602_spl
| sQ601_spl ),
inference(split_clause,[status(thm)],[f4349,f4365,f4368,f358]) ).
fof(f4372,definition,
( sQ603_spl
<=> sP7_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition]) ).
fof(f4373,plain,
( ~ sQ603_spl
| sP7_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4372]) ).
fof(f4374,plain,
( sQ603_spl
| ~ sP7_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4372]) ).
fof(f4375,definition,
( sQ604_spl
<=> p304(sK6_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition]) ).
fof(f4376,plain,
( ~ sQ604_spl
| p304(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4375]) ).
fof(f4377,plain,
( sQ604_spl
| ~ p304(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4375]) ).
fof(f4378,plain,
( ~ sQ35_spl
| sQ604_spl
| sQ603_spl ),
inference(split_clause,[status(thm)],[f4350,f4372,f4375,f358]) ).
fof(f4379,definition,
( sQ605_spl
<=> sP6_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition]) ).
fof(f4380,plain,
( ~ sQ605_spl
| sP6_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4379]) ).
fof(f4382,plain,
( ~ sQ35_spl
| sQ604_spl
| sQ605_spl ),
inference(split_clause,[status(thm)],[f4351,f4379,f4375,f358]) ).
fof(f4383,definition,
( sQ606_spl
<=> sP5_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ606_spl])],[split_symbol_definition]) ).
fof(f4384,plain,
( ~ sQ606_spl
| sP5_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4383]) ).
fof(f4386,definition,
( sQ607_spl
<=> p205(sK6_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ607_spl])],[split_symbol_definition]) ).
fof(f4387,plain,
( ~ sQ607_spl
| p205(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4386]) ).
fof(f4388,plain,
( sQ607_spl
| ~ p205(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4386]) ).
fof(f4389,plain,
( ~ sQ35_spl
| sQ607_spl
| sQ606_spl ),
inference(split_clause,[status(thm)],[f4352,f4383,f4386,f358]) ).
fof(f4390,definition,
( sQ608_spl
<=> sP4_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ608_spl])],[split_symbol_definition]) ).
fof(f4391,plain,
( ~ sQ608_spl
| sP4_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4390]) ).
fof(f4393,definition,
( sQ609_spl
<=> p305(sK6_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ609_spl])],[split_symbol_definition]) ).
fof(f4394,plain,
( ~ sQ609_spl
| p305(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4393]) ).
fof(f4395,plain,
( sQ609_spl
| ~ p305(sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4393]) ).
fof(f4396,plain,
( ~ sQ35_spl
| sQ609_spl
| sQ608_spl ),
inference(split_clause,[status(thm)],[f4353,f4390,f4393,f358]) ).
fof(f4397,definition,
( sQ610_spl
<=> sP3_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ610_spl])],[split_symbol_definition]) ).
fof(f4398,plain,
( ~ sQ610_spl
| sP3_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4397]) ).
fof(f4399,plain,
( sQ610_spl
| ~ sP3_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4397]) ).
fof(f4400,plain,
( ~ sQ35_spl
| sQ151_spl
| sQ610_spl ),
inference(split_clause,[status(thm)],[f4354,f4397,f1161,f358]) ).
fof(f4401,definition,
( sQ611_spl
<=> sP2_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ611_spl])],[split_symbol_definition]) ).
fof(f4402,plain,
( ~ sQ611_spl
| sP2_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4401]) ).
fof(f4404,plain,
( ~ sQ35_spl
| sQ609_spl
| sQ611_spl ),
inference(split_clause,[status(thm)],[f4355,f4401,f4393,f358]) ).
fof(f4405,definition,
( sQ612_spl
<=> sP1_prd(sK6_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ612_spl])],[split_symbol_definition]) ).
fof(f4406,plain,
( ~ sQ612_spl
| sP1_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4405]) ).
fof(f4407,plain,
( sQ612_spl
| ~ sP1_prd(sK6_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4405]) ).
fof(f4408,plain,
( ~ sQ35_spl
| sQ151_spl
| sQ612_spl ),
inference(split_clause,[status(thm)],[f4356,f4405,f1161,f358]) ).
fof(f4410,plain,
( ~ sQ610_spl
| ~ sQ151_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4398,f2608]) ).
fof(f4411,plain,
( ~ sQ612_spl
| ~ sQ151_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4406,f2609]) ).
fof(f4412,plain,
( ~ sQ610_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f4410]) ).
fof(f4413,plain,
( ~ sQ372_spl
| ~ sQ369_spl ),
inference(contradiction_clause,[status(thm)],[f4343]) ).
fof(f4414,plain,
( ~ sQ612_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f4411]) ).
fof(f4415,plain,
( ~ sQ20_spl
| ~ sQ34_spl
| p205(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1672,f253]) ).
fof(f4437,plain,
! [X0] :
( ~ sQ384_spl
| ~ sP4_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2285,f161]) ).
fof(f4438,plain,
! [X0] :
( ~ sQ384_spl
| ~ sP2_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2285,f151]) ).
fof(f4439,plain,
( ~ sQ383_spl
| ~ sQ384_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2282,f4437]) ).
fof(f4440,plain,
( ~ sQ387_spl
| ~ sQ384_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2296,f4438]) ).
fof(f4441,plain,
( ~ sQ383_spl
| ~ sQ384_spl ),
inference(contradiction_clause,[status(thm)],[f4439]) ).
fof(f4444,plain,
( ~ sQ39_spl
| p203(sK10_skl(sK51_skl))
| sP9_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f426,f187]) ).
fof(f4445,plain,
( ~ sQ39_spl
| p204(sK10_skl(sK51_skl))
| sP8_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f426,f182]) ).
fof(f4446,plain,
( ~ sQ39_spl
| p304(sK10_skl(sK51_skl))
| sP7_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f426,f177]) ).
fof(f4447,plain,
( ~ sQ39_spl
| p304(sK10_skl(sK51_skl))
| sP6_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f426,f172]) ).
fof(f4448,plain,
( ~ sQ39_spl
| p205(sK10_skl(sK51_skl))
| sP5_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f426,f167]) ).
fof(f4449,plain,
( ~ sQ39_spl
| p305(sK10_skl(sK51_skl))
| sP4_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f426,f162]) ).
fof(f4450,plain,
( ~ sQ39_spl
| p405(sK10_skl(sK51_skl))
| sP3_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f426,f157]) ).
fof(f4451,plain,
( ~ sQ39_spl
| p305(sK10_skl(sK51_skl))
| sP2_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f426,f152]) ).
fof(f4452,plain,
( ~ sQ39_spl
| p405(sK10_skl(sK51_skl))
| sP1_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f426,f147]) ).
fof(f4454,definition,
( sQ613_spl
<=> sP9_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ613_spl])],[split_symbol_definition]) ).
fof(f4455,plain,
( ~ sQ613_spl
| sP9_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4454]) ).
fof(f4457,definition,
( sQ614_spl
<=> p203(sK10_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ614_spl])],[split_symbol_definition]) ).
fof(f4458,plain,
( ~ sQ614_spl
| p203(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4457]) ).
fof(f4459,plain,
( sQ614_spl
| ~ p203(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4457]) ).
fof(f4460,plain,
( ~ sQ39_spl
| sQ614_spl
| sQ613_spl ),
inference(split_clause,[status(thm)],[f4444,f4454,f4457,f425]) ).
fof(f4461,definition,
( sQ615_spl
<=> sP8_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ615_spl])],[split_symbol_definition]) ).
fof(f4462,plain,
( ~ sQ615_spl
| sP8_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4461]) ).
fof(f4463,plain,
( sQ615_spl
| ~ sP8_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4461]) ).
fof(f4464,definition,
( sQ616_spl
<=> p204(sK10_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition]) ).
fof(f4465,plain,
( ~ sQ616_spl
| p204(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4464]) ).
fof(f4466,plain,
( sQ616_spl
| ~ p204(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4464]) ).
fof(f4467,plain,
( ~ sQ39_spl
| sQ616_spl
| sQ615_spl ),
inference(split_clause,[status(thm)],[f4445,f4461,f4464,f425]) ).
fof(f4468,definition,
( sQ617_spl
<=> sP7_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ617_spl])],[split_symbol_definition]) ).
fof(f4469,plain,
( ~ sQ617_spl
| sP7_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4468]) ).
fof(f4470,plain,
( sQ617_spl
| ~ sP7_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4468]) ).
fof(f4471,definition,
( sQ618_spl
<=> p304(sK10_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ618_spl])],[split_symbol_definition]) ).
fof(f4472,plain,
( ~ sQ618_spl
| p304(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4471]) ).
fof(f4473,plain,
( sQ618_spl
| ~ p304(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4471]) ).
fof(f4474,plain,
( ~ sQ39_spl
| sQ618_spl
| sQ617_spl ),
inference(split_clause,[status(thm)],[f4446,f4468,f4471,f425]) ).
fof(f4475,definition,
( sQ619_spl
<=> sP6_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ619_spl])],[split_symbol_definition]) ).
fof(f4476,plain,
( ~ sQ619_spl
| sP6_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4475]) ).
fof(f4478,plain,
( ~ sQ39_spl
| sQ618_spl
| sQ619_spl ),
inference(split_clause,[status(thm)],[f4447,f4475,f4471,f425]) ).
fof(f4479,definition,
( sQ620_spl
<=> sP5_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ620_spl])],[split_symbol_definition]) ).
fof(f4480,plain,
( ~ sQ620_spl
| sP5_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4479]) ).
fof(f4482,definition,
( sQ621_spl
<=> p205(sK10_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ621_spl])],[split_symbol_definition]) ).
fof(f4483,plain,
( ~ sQ621_spl
| p205(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4482]) ).
fof(f4484,plain,
( sQ621_spl
| ~ p205(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4482]) ).
fof(f4485,plain,
( ~ sQ39_spl
| sQ621_spl
| sQ620_spl ),
inference(split_clause,[status(thm)],[f4448,f4479,f4482,f425]) ).
fof(f4486,definition,
( sQ622_spl
<=> sP4_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ622_spl])],[split_symbol_definition]) ).
fof(f4487,plain,
( ~ sQ622_spl
| sP4_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4486]) ).
fof(f4488,plain,
( sQ622_spl
| ~ sP4_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4486]) ).
fof(f4489,definition,
( sQ623_spl
<=> p305(sK10_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ623_spl])],[split_symbol_definition]) ).
fof(f4490,plain,
( ~ sQ623_spl
| p305(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4489]) ).
fof(f4491,plain,
( sQ623_spl
| ~ p305(sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4489]) ).
fof(f4492,plain,
( ~ sQ39_spl
| sQ623_spl
| sQ622_spl ),
inference(split_clause,[status(thm)],[f4449,f4486,f4489,f425]) ).
fof(f4493,definition,
( sQ624_spl
<=> sP3_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition]) ).
fof(f4494,plain,
( ~ sQ624_spl
| sP3_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4493]) ).
fof(f4495,plain,
( sQ624_spl
| ~ sP3_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4493]) ).
fof(f4496,plain,
( ~ sQ39_spl
| sQ145_spl
| sQ624_spl ),
inference(split_clause,[status(thm)],[f4450,f4493,f1140,f425]) ).
fof(f4497,definition,
( sQ625_spl
<=> sP2_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ625_spl])],[split_symbol_definition]) ).
fof(f4498,plain,
( ~ sQ625_spl
| sP2_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4497]) ).
fof(f4499,plain,
( sQ625_spl
| ~ sP2_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4497]) ).
fof(f4500,plain,
( ~ sQ39_spl
| sQ623_spl
| sQ625_spl ),
inference(split_clause,[status(thm)],[f4451,f4497,f4489,f425]) ).
fof(f4501,definition,
( sQ626_spl
<=> sP1_prd(sK10_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).
fof(f4502,plain,
( ~ sQ626_spl
| sP1_prd(sK10_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4501]) ).
fof(f4504,plain,
( ~ sQ39_spl
| sQ145_spl
| sQ626_spl ),
inference(split_clause,[status(thm)],[f4452,f4501,f1140,f425]) ).
fof(f4506,plain,
( ~ sQ624_spl
| ~ sQ145_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4494,f2627]) ).
fof(f4507,plain,
( ~ sQ626_spl
| ~ sQ145_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4502,f2628]) ).
fof(f4508,plain,
( ~ sQ624_spl
| ~ sQ145_spl ),
inference(contradiction_clause,[status(thm)],[f4506]) ).
fof(f4509,plain,
( ~ sQ387_spl
| ~ sQ384_spl ),
inference(contradiction_clause,[status(thm)],[f4440]) ).
fof(f4510,plain,
( ~ sQ626_spl
| ~ sQ145_spl ),
inference(contradiction_clause,[status(thm)],[f4507]) ).
fof(f4511,plain,
( ~ sQ20_spl
| ~ sQ38_spl
| p205(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1883,f253]) ).
fof(f4533,plain,
! [X0] :
( ~ sQ377_spl
| ~ sP8_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2260,f181]) ).
fof(f4534,plain,
( ~ sQ376_spl
| ~ sQ377_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2257,f4533]) ).
fof(f4535,plain,
( ~ sQ376_spl
| ~ sQ377_spl ),
inference(contradiction_clause,[status(thm)],[f4534]) ).
fof(f4558,plain,
! [X0] :
( ~ sQ362_spl
| ~ sP8_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2188,f181]) ).
fof(f4559,plain,
( ~ sQ361_spl
| ~ sQ362_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2185,f4558]) ).
fof(f4560,plain,
( ~ sQ361_spl
| ~ sQ362_spl ),
inference(contradiction_clause,[status(thm)],[f4559]) ).
fof(f4561,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| p205(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f359,f253]) ).
fof(f4583,plain,
( ~ sQ35_spl
| ~ sQ15_spl
| p305(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f359]) ).
fof(f4585,plain,
( ~ sQ73_spl
| ~ sQ15_spl
| p305(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f805]) ).
fof(f4586,plain,
( ~ sQ70_spl
| ~ sQ15_spl
| p305(sK41_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f772]) ).
fof(f4587,plain,
( ~ sQ64_spl
| ~ sQ15_spl
| p305(sK37_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f714]) ).
fof(f4591,plain,
( ~ sQ60_spl
| ~ sQ15_spl
| p305(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f2663]) ).
fof(f4592,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| p305(sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f2662]) ).
fof(f4593,plain,
( ~ sQ46_spl
| ~ sQ15_spl
| p305(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f2661]) ).
fof(f4594,plain,
( ~ sQ44_spl
| ~ sQ15_spl
| p305(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f2323]) ).
fof(f4595,plain,
( ~ sQ40_spl
| ~ sQ15_spl
| p305(sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f2322]) ).
fof(f4596,plain,
! [X0] :
( ~ sQ348_spl
| ~ sP8_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2119,f181]) ).
fof(f4597,plain,
( ~ sQ347_spl
| ~ sQ348_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2116,f4596]) ).
fof(f4598,plain,
( ~ sQ347_spl
| ~ sQ348_spl ),
inference(contradiction_clause,[status(thm)],[f4597]) ).
fof(f4599,plain,
( ~ sQ334_spl
| ~ p604(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f2050,f55]) ).
fof(f4600,plain,
! [X0] :
( ~ sQ334_spl
| ~ sP8_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2050,f181]) ).
fof(f4601,plain,
( ~ sQ334_spl
| ~ sQ1_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f4599,f1320,f191,f2049]) ).
fof(f4602,plain,
( ~ sQ333_spl
| ~ sQ334_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2047,f4600]) ).
fof(f4603,plain,
( ~ sQ333_spl
| ~ sQ334_spl ),
inference(contradiction_clause,[status(thm)],[f4602]) ).
fof(f4604,plain,
! [X0] :
( ~ sQ320_spl
| ~ sP8_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1981,f181]) ).
fof(f4605,plain,
( ~ sQ319_spl
| ~ sQ320_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1978,f4604]) ).
fof(f4606,plain,
( ~ sQ319_spl
| ~ sQ320_spl ),
inference(contradiction_clause,[status(thm)],[f4605]) ).
fof(f4607,plain,
! [X0] :
( ~ sQ306_spl
| ~ sP8_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1912,f181]) ).
fof(f4608,plain,
( ~ sQ305_spl
| ~ sQ306_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1909,f4607]) ).
fof(f4609,plain,
( ~ sQ305_spl
| ~ sQ306_spl ),
inference(contradiction_clause,[status(thm)],[f4608]) ).
fof(f4610,plain,
! [X0] :
( ~ sQ292_spl
| ~ sP8_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1842,f181]) ).
fof(f4611,plain,
( ~ sQ291_spl
| ~ sQ292_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1839,f4610]) ).
fof(f4612,plain,
( ~ sQ291_spl
| ~ sQ292_spl ),
inference(contradiction_clause,[status(thm)],[f4611]) ).
fof(f4613,plain,
! [X0] :
( ~ sQ278_spl
| ~ sP8_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1773,f181]) ).
fof(f4614,plain,
( ~ sQ277_spl
| ~ sQ278_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1770,f4613]) ).
fof(f4615,plain,
( ~ sQ277_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f4614]) ).
fof(f4616,plain,
! [X0] :
( ~ sQ264_spl
| ~ sP8_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1704,f181]) ).
fof(f4617,plain,
( ~ sQ263_spl
| ~ sQ264_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1701,f4616]) ).
fof(f4618,plain,
( ~ sQ263_spl
| ~ sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f4617]) ).
fof(f4619,plain,
! [X0] :
( ~ sQ382_spl
| ~ sP5_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2278,f166]) ).
fof(f4620,plain,
( ~ sQ381_spl
| ~ sQ382_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2275,f4619]) ).
fof(f4621,plain,
( ~ sQ381_spl
| ~ sQ382_spl ),
inference(contradiction_clause,[status(thm)],[f4620]) ).
fof(f4622,plain,
! [X0] :
( ~ sQ367_spl
| ~ sP5_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2206,f166]) ).
fof(f4623,plain,
( ~ sQ366_spl
| ~ sQ367_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2203,f4622]) ).
fof(f4624,plain,
( ~ sQ366_spl
| ~ sQ367_spl ),
inference(contradiction_clause,[status(thm)],[f4623]) ).
fof(f4625,plain,
! [X0] :
( ~ sQ353_spl
| ~ sP5_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2137,f166]) ).
fof(f4626,plain,
( ~ sQ352_spl
| ~ sQ353_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2134,f4625]) ).
fof(f4627,plain,
( ~ sQ352_spl
| ~ sQ353_spl ),
inference(contradiction_clause,[status(thm)],[f4626]) ).
fof(f4628,plain,
! [X0] :
( ~ sQ339_spl
| ~ sP5_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2068,f166]) ).
fof(f4629,plain,
( ~ sQ338_spl
| ~ sQ339_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2065,f4628]) ).
fof(f4630,plain,
( ~ sQ338_spl
| ~ sQ339_spl ),
inference(contradiction_clause,[status(thm)],[f4629]) ).
fof(f4631,plain,
! [X0] :
( ~ sQ325_spl
| ~ sP5_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1999,f166]) ).
fof(f4632,plain,
( ~ sQ324_spl
| ~ sQ325_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1996,f4631]) ).
fof(f4633,plain,
( ~ sQ324_spl
| ~ sQ325_spl ),
inference(contradiction_clause,[status(thm)],[f4632]) ).
fof(f4634,plain,
! [X0] :
( ~ sQ311_spl
| ~ sP5_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1930,f166]) ).
fof(f4635,plain,
( ~ sQ310_spl
| ~ sQ311_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1927,f4634]) ).
fof(f4636,plain,
( ~ sQ310_spl
| ~ sQ311_spl ),
inference(contradiction_clause,[status(thm)],[f4635]) ).
fof(f4637,plain,
( ~ sQ297_spl
| ~ p505(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1860,f30]) ).
fof(f4638,plain,
! [X0] :
( ~ sQ297_spl
| ~ sP5_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1860,f166]) ).
fof(f4639,plain,
( ~ sQ297_spl
| ~ sQ5_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f4637,f1320,f204,f1859]) ).
fof(f4640,plain,
( ~ sQ296_spl
| ~ sQ297_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1857,f4638]) ).
fof(f4641,plain,
( ~ sQ296_spl
| ~ sQ297_spl ),
inference(contradiction_clause,[status(thm)],[f4640]) ).
fof(f4642,plain,
! [X0] :
( ~ sQ283_spl
| ~ sP5_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1791,f166]) ).
fof(f4643,plain,
( ~ sQ282_spl
| ~ sQ283_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1788,f4642]) ).
fof(f4644,plain,
( ~ sQ282_spl
| ~ sQ283_spl ),
inference(contradiction_clause,[status(thm)],[f4643]) ).
fof(f4645,plain,
! [X0] :
( ~ sQ269_spl
| ~ sP5_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1722,f166]) ).
fof(f4646,plain,
( ~ sQ268_spl
| ~ sQ269_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1719,f4645]) ).
fof(f4647,plain,
( ~ sQ268_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f4646]) ).
fof(f4648,plain,
! [X0] :
( ~ sQ386_spl
| ~ sP3_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2292,f156]) ).
fof(f4649,plain,
! [X0] :
( ~ sQ386_spl
| ~ sP1_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2292,f146]) ).
fof(f4650,plain,
! [X0] :
( ~ sQ386_spl
| ~ sP0_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2292,f141]) ).
fof(f4651,plain,
( ~ sQ385_spl
| ~ sQ386_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2289,f4648]) ).
fof(f4652,plain,
( ~ sQ388_spl
| ~ sQ386_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2301,f4650]) ).
fof(f4653,plain,
( ~ sQ385_spl
| ~ sQ386_spl ),
inference(contradiction_clause,[status(thm)],[f4651]) ).
fof(f4654,plain,
! [X0] :
( ~ sQ371_spl
| ~ sP3_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2220,f156]) ).
fof(f4655,plain,
! [X0] :
( ~ sQ371_spl
| ~ sP1_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2220,f146]) ).
fof(f4656,plain,
! [X0] :
( ~ sQ371_spl
| ~ sP0_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2220,f141]) ).
fof(f4657,plain,
( ~ sQ370_spl
| ~ sQ371_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2217,f4654]) ).
fof(f4658,plain,
( ~ sQ373_spl
| ~ sQ371_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2228,f4655]) ).
fof(f4659,plain,
( ~ sQ370_spl
| ~ sQ371_spl ),
inference(contradiction_clause,[status(thm)],[f4657]) ).
fof(f4660,plain,
! [X0] :
( ~ sQ262_spl
| ~ sP9_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1697,f186]) ).
fof(f4661,plain,
( ~ sQ261_spl
| ~ sQ262_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1694,f4660]) ).
fof(f4662,plain,
( ~ sQ261_spl
| ~ sQ262_spl ),
inference(contradiction_clause,[status(thm)],[f4661]) ).
fof(f4663,plain,
! [X0] :
( ~ sQ266_spl
| ~ sP7_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1711,f176]) ).
fof(f4664,plain,
! [X0] :
( ~ sQ266_spl
| ~ sP6_prd(sK2_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1711,f171]) ).
fof(f4665,plain,
( ~ sQ265_spl
| ~ sQ266_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1708,f4663]) ).
fof(f4666,plain,
( ~ sQ267_spl
| ~ sQ266_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1715,f4664]) ).
fof(f4667,plain,
( ~ sQ265_spl
| ~ sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f4665]) ).
fof(f4668,plain,
! [X0] :
( ~ sQ276_spl
| ~ sP9_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1766,f186]) ).
fof(f4669,plain,
( ~ sQ275_spl
| ~ sQ276_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1763,f4668]) ).
fof(f4670,plain,
( ~ sQ275_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f4669]) ).
fof(f4671,plain,
! [X0] :
( ~ sQ280_spl
| ~ sP7_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1780,f176]) ).
fof(f4672,plain,
! [X0] :
( ~ sQ280_spl
| ~ sP6_prd(sK4_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1780,f171]) ).
fof(f4673,plain,
( ~ sQ279_spl
| ~ sQ280_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1777,f4671]) ).
fof(f4674,plain,
( ~ sQ281_spl
| ~ sQ280_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1784,f4672]) ).
fof(f4675,plain,
( ~ sQ279_spl
| ~ sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f4673]) ).
fof(f4676,plain,
! [X0] :
( ~ sQ290_spl
| ~ sP9_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1835,f186]) ).
fof(f4677,plain,
( ~ sQ289_spl
| ~ sQ290_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1832,f4676]) ).
fof(f4678,plain,
( ~ sQ289_spl
| ~ sQ290_spl ),
inference(contradiction_clause,[status(thm)],[f4677]) ).
fof(f4679,plain,
! [X0] :
( ~ sQ294_spl
| ~ sP7_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1849,f176]) ).
fof(f4680,plain,
! [X0] :
( ~ sQ294_spl
| ~ sP6_prd(sK8_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1849,f171]) ).
fof(f4681,plain,
( ~ sQ293_spl
| ~ sQ294_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1846,f4679]) ).
fof(f4682,plain,
( ~ sQ295_spl
| ~ sQ294_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1853,f4680]) ).
fof(f4683,plain,
( ~ sQ293_spl
| ~ sQ294_spl ),
inference(contradiction_clause,[status(thm)],[f4681]) ).
fof(f4684,plain,
! [X0] :
( ~ sQ304_spl
| ~ sP9_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1905,f186]) ).
fof(f4685,plain,
( ~ sQ303_spl
| ~ sQ304_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1902,f4684]) ).
fof(f4686,plain,
( ~ sQ303_spl
| ~ sQ304_spl ),
inference(contradiction_clause,[status(thm)],[f4685]) ).
fof(f4687,plain,
! [X0] :
( ~ sQ308_spl
| ~ sP7_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1919,f176]) ).
fof(f4688,plain,
! [X0] :
( ~ sQ308_spl
| ~ sP6_prd(sK14_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1919,f171]) ).
fof(f4689,plain,
( ~ sQ307_spl
| ~ sQ308_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1916,f4687]) ).
fof(f4690,plain,
( ~ sQ309_spl
| ~ sQ308_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1923,f4688]) ).
fof(f4691,plain,
( ~ sQ307_spl
| ~ sQ308_spl ),
inference(contradiction_clause,[status(thm)],[f4689]) ).
fof(f4692,plain,
! [X0] :
( ~ sQ399_spl
| ~ sP4_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2374,f161]) ).
fof(f4693,plain,
! [X0] :
( ~ sQ399_spl
| ~ sP2_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2374,f151]) ).
fof(f4694,plain,
( ~ sQ398_spl
| ~ sQ399_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2371,f4692]) ).
fof(f4695,plain,
( ~ sQ401_spl
| ~ sQ399_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2382,f4693]) ).
fof(f4696,plain,
( ~ sQ398_spl
| ~ sQ399_spl ),
inference(contradiction_clause,[status(thm)],[f4694]) ).
fof(f4721,plain,
( ~ sQ20_spl
| ~ sQ59_spl
| p205(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f253]) ).
fof(f4744,plain,
( ~ sQ20_spl
| ~ sQ67_spl
| p205(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f747,f253]) ).
fof(f4766,plain,
! [X0] :
( ~ sQ397_spl
| ~ sP5_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2367,f166]) ).
fof(f4767,plain,
( ~ sQ396_spl
| ~ sQ397_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2364,f4766]) ).
fof(f4768,plain,
( ~ sQ396_spl
| ~ sQ397_spl ),
inference(contradiction_clause,[status(thm)],[f4767]) ).
fof(f4769,plain,
! [X0] :
( ~ sQ392_spl
| ~ sP8_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2349,f181]) ).
fof(f4770,plain,
( ~ sQ391_spl
| ~ sQ392_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2346,f4769]) ).
fof(f4771,plain,
( ~ sQ391_spl
| ~ sQ392_spl ),
inference(contradiction_clause,[status(thm)],[f4770]) ).
fof(f4772,plain,
! [X0] :
( ~ sQ413_spl
| ~ sP4_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2440,f161]) ).
fof(f4773,plain,
! [X0] :
( ~ sQ413_spl
| ~ sP2_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2440,f151]) ).
fof(f4774,plain,
( ~ sQ412_spl
| ~ sQ413_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2437,f4772]) ).
fof(f4775,plain,
( ~ sQ415_spl
| ~ sQ413_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2448,f4773]) ).
fof(f4776,plain,
( ~ sQ412_spl
| ~ sQ413_spl ),
inference(contradiction_clause,[status(thm)],[f4774]) ).
fof(f4777,plain,
! [X0] :
( ~ sQ411_spl
| ~ sP5_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2433,f166]) ).
fof(f4778,plain,
( ~ sQ410_spl
| ~ sQ411_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2430,f4777]) ).
fof(f4779,plain,
( ~ sQ410_spl
| ~ sQ411_spl ),
inference(contradiction_clause,[status(thm)],[f4778]) ).
fof(f4780,plain,
! [X0] :
( ~ sQ406_spl
| ~ sP8_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2415,f181]) ).
fof(f4781,plain,
( ~ sQ405_spl
| ~ sQ406_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2412,f4780]) ).
fof(f4782,plain,
( ~ sQ405_spl
| ~ sQ406_spl ),
inference(contradiction_clause,[status(thm)],[f4781]) ).
fof(f4783,plain,
! [X0] :
( ~ sQ429_spl
| ~ sP3_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2513,f156]) ).
fof(f4784,plain,
! [X0] :
( ~ sQ429_spl
| ~ sP1_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2513,f146]) ).
fof(f4785,plain,
! [X0] :
( ~ sQ429_spl
| ~ sP0_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2513,f141]) ).
fof(f4786,plain,
( ~ sQ428_spl
| ~ sQ429_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2510,f4783]) ).
fof(f4787,plain,
( ~ sQ430_spl
| ~ sQ429_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2518,f4784]) ).
fof(f4788,plain,
( ~ sQ431_spl
| ~ sQ429_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2522,f4785]) ).
fof(f4789,plain,
( ~ sQ428_spl
| ~ sQ429_spl ),
inference(contradiction_clause,[status(thm)],[f4786]) ).
fof(f4793,plain,
( ~ sQ41_spl
| p203(sK12_skl(sK51_skl))
| sP9_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f434,f187]) ).
fof(f4794,plain,
( ~ sQ41_spl
| p204(sK12_skl(sK51_skl))
| sP8_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f434,f182]) ).
fof(f4795,plain,
( ~ sQ41_spl
| p304(sK12_skl(sK51_skl))
| sP7_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f434,f177]) ).
fof(f4796,plain,
( ~ sQ41_spl
| p304(sK12_skl(sK51_skl))
| sP6_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f434,f172]) ).
fof(f4797,plain,
( ~ sQ41_spl
| p205(sK12_skl(sK51_skl))
| sP5_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f434,f167]) ).
fof(f4798,plain,
( ~ sQ41_spl
| p305(sK12_skl(sK51_skl))
| sP4_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f434,f162]) ).
fof(f4799,plain,
( ~ sQ41_spl
| p405(sK12_skl(sK51_skl))
| sP3_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f434,f157]) ).
fof(f4800,plain,
( ~ sQ41_spl
| p305(sK12_skl(sK51_skl))
| sP2_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f434,f152]) ).
fof(f4801,plain,
( ~ sQ41_spl
| p405(sK12_skl(sK51_skl))
| sP1_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f434,f147]) ).
fof(f4803,definition,
( sQ627_spl
<=> sP9_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition]) ).
fof(f4804,plain,
( ~ sQ627_spl
| sP9_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4803]) ).
fof(f4806,definition,
( sQ628_spl
<=> p203(sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition]) ).
fof(f4807,plain,
( ~ sQ628_spl
| p203(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4806]) ).
fof(f4808,plain,
( sQ628_spl
| ~ p203(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4806]) ).
fof(f4809,plain,
( ~ sQ41_spl
| sQ628_spl
| sQ627_spl ),
inference(split_clause,[status(thm)],[f4793,f4803,f4806,f433]) ).
fof(f4810,definition,
( sQ629_spl
<=> sP8_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ629_spl])],[split_symbol_definition]) ).
fof(f4811,plain,
( ~ sQ629_spl
| sP8_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4810]) ).
fof(f4812,plain,
( sQ629_spl
| ~ sP8_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4810]) ).
fof(f4813,definition,
( sQ630_spl
<=> p204(sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ630_spl])],[split_symbol_definition]) ).
fof(f4814,plain,
( ~ sQ630_spl
| p204(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4813]) ).
fof(f4815,plain,
( sQ630_spl
| ~ p204(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4813]) ).
fof(f4816,plain,
( ~ sQ41_spl
| sQ630_spl
| sQ629_spl ),
inference(split_clause,[status(thm)],[f4794,f4810,f4813,f433]) ).
fof(f4817,definition,
( sQ631_spl
<=> sP7_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ631_spl])],[split_symbol_definition]) ).
fof(f4818,plain,
( ~ sQ631_spl
| sP7_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4817]) ).
fof(f4819,plain,
( sQ631_spl
| ~ sP7_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4817]) ).
fof(f4820,definition,
( sQ632_spl
<=> p304(sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ632_spl])],[split_symbol_definition]) ).
fof(f4821,plain,
( ~ sQ632_spl
| p304(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4820]) ).
fof(f4822,plain,
( sQ632_spl
| ~ p304(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4820]) ).
fof(f4823,plain,
( ~ sQ41_spl
| sQ632_spl
| sQ631_spl ),
inference(split_clause,[status(thm)],[f4795,f4817,f4820,f433]) ).
fof(f4824,definition,
( sQ633_spl
<=> sP6_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ633_spl])],[split_symbol_definition]) ).
fof(f4825,plain,
( ~ sQ633_spl
| sP6_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4824]) ).
fof(f4827,plain,
( ~ sQ41_spl
| sQ632_spl
| sQ633_spl ),
inference(split_clause,[status(thm)],[f4796,f4824,f4820,f433]) ).
fof(f4828,definition,
( sQ634_spl
<=> sP5_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).
fof(f4829,plain,
( ~ sQ634_spl
| sP5_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4828]) ).
fof(f4831,definition,
( sQ635_spl
<=> p205(sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ635_spl])],[split_symbol_definition]) ).
fof(f4832,plain,
( ~ sQ635_spl
| p205(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4831]) ).
fof(f4833,plain,
( sQ635_spl
| ~ p205(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4831]) ).
fof(f4834,plain,
( ~ sQ41_spl
| sQ635_spl
| sQ634_spl ),
inference(split_clause,[status(thm)],[f4797,f4828,f4831,f433]) ).
fof(f4835,definition,
( sQ636_spl
<=> sP4_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ636_spl])],[split_symbol_definition]) ).
fof(f4836,plain,
( ~ sQ636_spl
| sP4_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4835]) ).
fof(f4837,plain,
( sQ636_spl
| ~ sP4_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4835]) ).
fof(f4838,definition,
( sQ637_spl
<=> p305(sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ637_spl])],[split_symbol_definition]) ).
fof(f4839,plain,
( ~ sQ637_spl
| p305(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4838]) ).
fof(f4840,plain,
( sQ637_spl
| ~ p305(sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4838]) ).
fof(f4841,plain,
( ~ sQ41_spl
| sQ637_spl
| sQ636_spl ),
inference(split_clause,[status(thm)],[f4798,f4835,f4838,f433]) ).
fof(f4842,definition,
( sQ638_spl
<=> sP3_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ638_spl])],[split_symbol_definition]) ).
fof(f4843,plain,
( ~ sQ638_spl
| sP3_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4842]) ).
fof(f4844,plain,
( sQ638_spl
| ~ sP3_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4842]) ).
fof(f4845,plain,
( ~ sQ41_spl
| sQ143_spl
| sQ638_spl ),
inference(split_clause,[status(thm)],[f4799,f4842,f1133,f433]) ).
fof(f4846,definition,
( sQ639_spl
<=> sP2_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ639_spl])],[split_symbol_definition]) ).
fof(f4847,plain,
( ~ sQ639_spl
| sP2_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4846]) ).
fof(f4848,plain,
( sQ639_spl
| ~ sP2_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4846]) ).
fof(f4849,plain,
( ~ sQ41_spl
| sQ637_spl
| sQ639_spl ),
inference(split_clause,[status(thm)],[f4800,f4846,f4838,f433]) ).
fof(f4850,definition,
( sQ640_spl
<=> sP1_prd(sK12_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ640_spl])],[split_symbol_definition]) ).
fof(f4851,plain,
( ~ sQ640_spl
| sP1_prd(sK12_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4850]) ).
fof(f4853,plain,
( ~ sQ41_spl
| sQ143_spl
| sQ640_spl ),
inference(split_clause,[status(thm)],[f4801,f4850,f1133,f433]) ).
fof(f4855,plain,
( ~ sQ638_spl
| ~ sQ143_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4843,f2632]) ).
fof(f4856,plain,
( ~ sQ640_spl
| ~ sQ143_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4851,f2633]) ).
fof(f4857,plain,
( ~ sQ638_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f4855]) ).
fof(f4858,plain,
( ~ sQ430_spl
| ~ sQ429_spl ),
inference(contradiction_clause,[status(thm)],[f4787]) ).
fof(f4859,plain,
( ~ sQ640_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f4856]) ).
fof(f4860,plain,
( ~ sQ431_spl
| ~ sQ429_spl ),
inference(contradiction_clause,[status(thm)],[f4788]) ).
fof(f4862,plain,
( ~ sQ20_spl
| ~ sQ41_spl
| p205(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f434,f253]) ).
fof(f4884,plain,
! [X0] :
( ~ sQ427_spl
| ~ sP4_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2506,f161]) ).
fof(f4885,plain,
! [X0] :
( ~ sQ427_spl
| ~ sP2_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2506,f151]) ).
fof(f4886,plain,
( ~ sQ426_spl
| ~ sQ427_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2503,f4884]) ).
fof(f4887,plain,
( ~ sQ426_spl
| ~ sQ427_spl ),
inference(contradiction_clause,[status(thm)],[f4886]) ).
fof(f4888,plain,
! [X0] :
( ~ sQ425_spl
| ~ sP5_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2499,f166]) ).
fof(f4889,plain,
( ~ sQ424_spl
| ~ sQ425_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2496,f4888]) ).
fof(f4890,plain,
( ~ sQ424_spl
| ~ sQ425_spl ),
inference(contradiction_clause,[status(thm)],[f4889]) ).
fof(f4891,plain,
! [X0] :
( ~ sQ420_spl
| ~ sP8_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2481,f181]) ).
fof(f4892,plain,
( ~ sQ419_spl
| ~ sQ420_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2478,f4891]) ).
fof(f4893,plain,
( ~ sQ419_spl
| ~ sQ420_spl ),
inference(contradiction_clause,[status(thm)],[f4892]) ).
fof(f4894,plain,
! [X0] :
( ~ sQ442_spl
| ~ sP4_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2575,f161]) ).
fof(f4895,plain,
! [X0] :
( ~ sQ442_spl
| ~ sP2_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2575,f151]) ).
fof(f4896,plain,
( ~ sQ441_spl
| ~ sQ442_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2572,f4894]) ).
fof(f4897,plain,
( ~ sQ444_spl
| ~ sQ442_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2583,f4895]) ).
fof(f4898,plain,
( ~ sQ441_spl
| ~ sQ442_spl ),
inference(contradiction_clause,[status(thm)],[f4896]) ).
fof(f4900,plain,
( ~ sQ20_spl
| ~ sQ45_spl
| p205(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f523,f253]) ).
fof(f4902,plain,
( ~ sQ45_spl
| p203(sK16_skl(sK51_skl))
| sP9_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f523,f187]) ).
fof(f4903,plain,
( ~ sQ45_spl
| p204(sK16_skl(sK51_skl))
| sP8_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f523,f182]) ).
fof(f4904,plain,
( ~ sQ45_spl
| p304(sK16_skl(sK51_skl))
| sP7_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f523,f177]) ).
fof(f4905,plain,
( ~ sQ45_spl
| p304(sK16_skl(sK51_skl))
| sP6_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f523,f172]) ).
fof(f4906,plain,
( ~ sQ45_spl
| p205(sK16_skl(sK51_skl))
| sP5_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f523,f167]) ).
fof(f4907,plain,
( ~ sQ45_spl
| p305(sK16_skl(sK51_skl))
| sP4_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f523,f162]) ).
fof(f4908,plain,
( ~ sQ45_spl
| p405(sK16_skl(sK51_skl))
| sP3_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f523,f157]) ).
fof(f4909,plain,
( ~ sQ45_spl
| p305(sK16_skl(sK51_skl))
| sP2_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f523,f152]) ).
fof(f4910,plain,
( ~ sQ45_spl
| p405(sK16_skl(sK51_skl))
| sP1_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f523,f147]) ).
fof(f4912,definition,
( sQ641_spl
<=> sP9_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ641_spl])],[split_symbol_definition]) ).
fof(f4913,plain,
( ~ sQ641_spl
| sP9_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4912]) ).
fof(f4915,definition,
( sQ642_spl
<=> p203(sK16_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ642_spl])],[split_symbol_definition]) ).
fof(f4916,plain,
( ~ sQ642_spl
| p203(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4915]) ).
fof(f4917,plain,
( sQ642_spl
| ~ p203(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4915]) ).
fof(f4918,plain,
( ~ sQ45_spl
| sQ642_spl
| sQ641_spl ),
inference(split_clause,[status(thm)],[f4902,f4912,f4915,f522]) ).
fof(f4919,definition,
( sQ643_spl
<=> sP8_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ643_spl])],[split_symbol_definition]) ).
fof(f4920,plain,
( ~ sQ643_spl
| sP8_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4919]) ).
fof(f4921,plain,
( sQ643_spl
| ~ sP8_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4919]) ).
fof(f4922,definition,
( sQ644_spl
<=> p204(sK16_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ644_spl])],[split_symbol_definition]) ).
fof(f4923,plain,
( ~ sQ644_spl
| p204(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4922]) ).
fof(f4924,plain,
( sQ644_spl
| ~ p204(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4922]) ).
fof(f4925,plain,
( ~ sQ45_spl
| sQ644_spl
| sQ643_spl ),
inference(split_clause,[status(thm)],[f4903,f4919,f4922,f522]) ).
fof(f4926,definition,
( sQ645_spl
<=> sP7_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ645_spl])],[split_symbol_definition]) ).
fof(f4927,plain,
( ~ sQ645_spl
| sP7_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4926]) ).
fof(f4928,plain,
( sQ645_spl
| ~ sP7_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4926]) ).
fof(f4929,definition,
( sQ646_spl
<=> p304(sK16_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ646_spl])],[split_symbol_definition]) ).
fof(f4930,plain,
( ~ sQ646_spl
| p304(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4929]) ).
fof(f4931,plain,
( sQ646_spl
| ~ p304(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4929]) ).
fof(f4932,plain,
( ~ sQ45_spl
| sQ646_spl
| sQ645_spl ),
inference(split_clause,[status(thm)],[f4904,f4926,f4929,f522]) ).
fof(f4933,definition,
( sQ647_spl
<=> sP6_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ647_spl])],[split_symbol_definition]) ).
fof(f4934,plain,
( ~ sQ647_spl
| sP6_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4933]) ).
fof(f4936,plain,
( ~ sQ45_spl
| sQ646_spl
| sQ647_spl ),
inference(split_clause,[status(thm)],[f4905,f4933,f4929,f522]) ).
fof(f4937,definition,
( sQ648_spl
<=> sP5_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ648_spl])],[split_symbol_definition]) ).
fof(f4938,plain,
( ~ sQ648_spl
| sP5_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4937]) ).
fof(f4940,definition,
( sQ649_spl
<=> p205(sK16_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ649_spl])],[split_symbol_definition]) ).
fof(f4941,plain,
( ~ sQ649_spl
| p205(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4940]) ).
fof(f4942,plain,
( sQ649_spl
| ~ p205(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4940]) ).
fof(f4943,plain,
( ~ sQ45_spl
| sQ649_spl
| sQ648_spl ),
inference(split_clause,[status(thm)],[f4906,f4937,f4940,f522]) ).
fof(f4944,definition,
( sQ650_spl
<=> sP4_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ650_spl])],[split_symbol_definition]) ).
fof(f4945,plain,
( ~ sQ650_spl
| sP4_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4944]) ).
fof(f4946,plain,
( sQ650_spl
| ~ sP4_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4944]) ).
fof(f4947,definition,
( sQ651_spl
<=> p305(sK16_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ651_spl])],[split_symbol_definition]) ).
fof(f4948,plain,
( ~ sQ651_spl
| p305(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4947]) ).
fof(f4949,plain,
( sQ651_spl
| ~ p305(sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f4947]) ).
fof(f4950,plain,
( ~ sQ45_spl
| sQ651_spl
| sQ650_spl ),
inference(split_clause,[status(thm)],[f4907,f4944,f4947,f522]) ).
fof(f4951,definition,
( sQ652_spl
<=> sP3_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ652_spl])],[split_symbol_definition]) ).
fof(f4952,plain,
( ~ sQ652_spl
| sP3_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4951]) ).
fof(f4953,plain,
( sQ652_spl
| ~ sP3_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4951]) ).
fof(f4954,plain,
( ~ sQ45_spl
| sQ137_spl
| sQ652_spl ),
inference(split_clause,[status(thm)],[f4908,f4951,f1112,f522]) ).
fof(f4955,definition,
( sQ653_spl
<=> sP2_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ653_spl])],[split_symbol_definition]) ).
fof(f4956,plain,
( ~ sQ653_spl
| sP2_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4955]) ).
fof(f4957,plain,
( sQ653_spl
| ~ sP2_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4955]) ).
fof(f4958,plain,
( ~ sQ45_spl
| sQ651_spl
| sQ653_spl ),
inference(split_clause,[status(thm)],[f4909,f4955,f4947,f522]) ).
fof(f4959,definition,
( sQ654_spl
<=> sP1_prd(sK16_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ654_spl])],[split_symbol_definition]) ).
fof(f4960,plain,
( ~ sQ654_spl
| sP1_prd(sK16_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f4959]) ).
fof(f4962,plain,
( ~ sQ45_spl
| sQ137_spl
| sQ654_spl ),
inference(split_clause,[status(thm)],[f4910,f4959,f1112,f522]) ).
fof(f4964,plain,
( ~ sQ652_spl
| ~ sQ137_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4952,f2651]) ).
fof(f4965,plain,
( ~ sQ654_spl
| ~ sQ137_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4960,f2652]) ).
fof(f4966,plain,
( ~ sQ652_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f4964]) ).
fof(f4967,plain,
( ~ sQ444_spl
| ~ sQ442_spl ),
inference(contradiction_clause,[status(thm)],[f4897]) ).
fof(f4968,plain,
( ~ sQ654_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f4965]) ).
fof(f4969,plain,
( ~ sQ44_spl
| ~ sQ15_spl
| sQ442_spl ),
inference(split_clause,[status(thm)],[f4594,f2574,f236,f519]) ).
fof(f4970,plain,
( ~ sQ15_spl
| ~ sQ44_spl
| p305(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2323,f237]) ).
fof(f4993,plain,
! [X0] :
( ~ sQ443_spl
| ~ sP3_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2579,f156]) ).
fof(f4994,plain,
! [X0] :
( ~ sQ443_spl
| ~ sP1_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2579,f146]) ).
fof(f4995,plain,
! [X0] :
( ~ sQ443_spl
| ~ sP0_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2579,f141]) ).
fof(f4996,plain,
( ~ sQ44_spl
| ~ sQ443_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f520,f4993]) ).
fof(f4997,plain,
( ~ sQ445_spl
| ~ sQ443_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2587,f4994]) ).
fof(f4998,plain,
( ~ sQ446_spl
| ~ sQ443_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2591,f4995]) ).
fof(f4999,plain,
( ~ sQ44_spl
| ~ sQ443_spl ),
inference(contradiction_clause,[status(thm)],[f4996]) ).
fof(f5001,plain,
( ~ sQ20_spl
| ~ sQ45_spl
| p205(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f523,f253]) ).
fof(f5024,plain,
( ~ sQ20_spl
| ~ sQ44_spl
| p205(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2323,f253]) ).
fof(f5046,plain,
! [X0] :
( ~ sQ440_spl
| ~ sP5_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2568,f166]) ).
fof(f5047,plain,
( ~ sQ439_spl
| ~ sQ440_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2565,f5046]) ).
fof(f5048,plain,
( ~ sQ439_spl
| ~ sQ440_spl ),
inference(contradiction_clause,[status(thm)],[f5047]) ).
fof(f5050,plain,
( ~ sQ20_spl
| ~ sQ45_spl
| p205(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f523,f253]) ).
fof(f5072,plain,
! [X0] :
( ~ sQ435_spl
| ~ sP8_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2550,f181]) ).
fof(f5073,plain,
( ~ sQ434_spl
| ~ sQ435_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2547,f5072]) ).
fof(f5074,plain,
( ~ sQ434_spl
| ~ sQ435_spl ),
inference(contradiction_clause,[status(thm)],[f5073]) ).
fof(f5075,plain,
! [X0] :
( ~ sQ458_spl
| ~ sP3_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2718,f156]) ).
fof(f5076,plain,
! [X0] :
( ~ sQ458_spl
| ~ sP1_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2718,f146]) ).
fof(f5077,plain,
! [X0] :
( ~ sQ458_spl
| ~ sP0_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2718,f141]) ).
fof(f5078,plain,
( ~ sQ457_spl
| ~ sQ458_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2715,f5075]) ).
fof(f5079,plain,
( ~ sQ460_spl
| ~ sQ458_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2726,f5076]) ).
fof(f5080,plain,
( ~ sQ461_spl
| ~ sQ458_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2730,f5077]) ).
fof(f5081,plain,
( ~ sQ457_spl
| ~ sQ458_spl ),
inference(contradiction_clause,[status(thm)],[f5078]) ).
fof(f5083,plain,
( ~ sQ20_spl
| ~ sQ47_spl
| p205(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f551,f253]) ).
fof(f5085,plain,
( ~ sQ47_spl
| p203(sK18_skl(sK51_skl))
| sP9_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f551,f187]) ).
fof(f5086,plain,
( ~ sQ47_spl
| p204(sK18_skl(sK51_skl))
| sP8_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f551,f182]) ).
fof(f5087,plain,
( ~ sQ47_spl
| p304(sK18_skl(sK51_skl))
| sP7_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f551,f177]) ).
fof(f5088,plain,
( ~ sQ47_spl
| p304(sK18_skl(sK51_skl))
| sP6_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f551,f172]) ).
fof(f5089,plain,
( ~ sQ47_spl
| p205(sK18_skl(sK51_skl))
| sP5_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f551,f167]) ).
fof(f5090,plain,
( ~ sQ47_spl
| p305(sK18_skl(sK51_skl))
| sP4_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f551,f162]) ).
fof(f5091,plain,
( ~ sQ47_spl
| p405(sK18_skl(sK51_skl))
| sP3_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f551,f157]) ).
fof(f5092,plain,
( ~ sQ47_spl
| p305(sK18_skl(sK51_skl))
| sP2_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f551,f152]) ).
fof(f5093,plain,
( ~ sQ47_spl
| p405(sK18_skl(sK51_skl))
| sP1_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f551,f147]) ).
fof(f5095,definition,
( sQ655_spl
<=> sP9_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ655_spl])],[split_symbol_definition]) ).
fof(f5096,plain,
( ~ sQ655_spl
| sP9_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5095]) ).
fof(f5098,definition,
( sQ656_spl
<=> p203(sK18_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ656_spl])],[split_symbol_definition]) ).
fof(f5099,plain,
( ~ sQ656_spl
| p203(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5098]) ).
fof(f5100,plain,
( sQ656_spl
| ~ p203(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5098]) ).
fof(f5101,plain,
( ~ sQ47_spl
| sQ656_spl
| sQ655_spl ),
inference(split_clause,[status(thm)],[f5085,f5095,f5098,f550]) ).
fof(f5102,definition,
( sQ657_spl
<=> sP8_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ657_spl])],[split_symbol_definition]) ).
fof(f5103,plain,
( ~ sQ657_spl
| sP8_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5102]) ).
fof(f5104,plain,
( sQ657_spl
| ~ sP8_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5102]) ).
fof(f5105,definition,
( sQ658_spl
<=> p204(sK18_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition]) ).
fof(f5106,plain,
( ~ sQ658_spl
| p204(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5105]) ).
fof(f5107,plain,
( sQ658_spl
| ~ p204(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5105]) ).
fof(f5108,plain,
( ~ sQ47_spl
| sQ658_spl
| sQ657_spl ),
inference(split_clause,[status(thm)],[f5086,f5102,f5105,f550]) ).
fof(f5109,definition,
( sQ659_spl
<=> sP7_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition]) ).
fof(f5110,plain,
( ~ sQ659_spl
| sP7_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5109]) ).
fof(f5111,plain,
( sQ659_spl
| ~ sP7_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5109]) ).
fof(f5112,definition,
( sQ660_spl
<=> p304(sK18_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition]) ).
fof(f5113,plain,
( ~ sQ660_spl
| p304(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5112]) ).
fof(f5114,plain,
( sQ660_spl
| ~ p304(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5112]) ).
fof(f5115,plain,
( ~ sQ47_spl
| sQ660_spl
| sQ659_spl ),
inference(split_clause,[status(thm)],[f5087,f5109,f5112,f550]) ).
fof(f5116,definition,
( sQ661_spl
<=> sP6_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ661_spl])],[split_symbol_definition]) ).
fof(f5117,plain,
( ~ sQ661_spl
| sP6_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5116]) ).
fof(f5119,plain,
( ~ sQ47_spl
| sQ660_spl
| sQ661_spl ),
inference(split_clause,[status(thm)],[f5088,f5116,f5112,f550]) ).
fof(f5120,definition,
( sQ662_spl
<=> sP5_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).
fof(f5121,plain,
( ~ sQ662_spl
| sP5_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5120]) ).
fof(f5123,definition,
( sQ663_spl
<=> p205(sK18_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f5124,plain,
( ~ sQ663_spl
| p205(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5123]) ).
fof(f5125,plain,
( sQ663_spl
| ~ p205(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5123]) ).
fof(f5126,plain,
( ~ sQ47_spl
| sQ663_spl
| sQ662_spl ),
inference(split_clause,[status(thm)],[f5089,f5120,f5123,f550]) ).
fof(f5127,definition,
( sQ664_spl
<=> sP4_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ664_spl])],[split_symbol_definition]) ).
fof(f5128,plain,
( ~ sQ664_spl
| sP4_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5127]) ).
fof(f5129,plain,
( sQ664_spl
| ~ sP4_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5127]) ).
fof(f5130,definition,
( sQ665_spl
<=> p305(sK18_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ665_spl])],[split_symbol_definition]) ).
fof(f5131,plain,
( ~ sQ665_spl
| p305(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5130]) ).
fof(f5132,plain,
( sQ665_spl
| ~ p305(sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5130]) ).
fof(f5133,plain,
( ~ sQ47_spl
| sQ665_spl
| sQ664_spl ),
inference(split_clause,[status(thm)],[f5090,f5127,f5130,f550]) ).
fof(f5134,definition,
( sQ666_spl
<=> sP3_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition]) ).
fof(f5135,plain,
( ~ sQ666_spl
| sP3_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5134]) ).
fof(f5136,plain,
( sQ666_spl
| ~ sP3_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5134]) ).
fof(f5137,plain,
( ~ sQ47_spl
| sQ135_spl
| sQ666_spl ),
inference(split_clause,[status(thm)],[f5091,f5134,f1105,f550]) ).
fof(f5138,definition,
( sQ667_spl
<=> sP2_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ667_spl])],[split_symbol_definition]) ).
fof(f5139,plain,
( ~ sQ667_spl
| sP2_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5138]) ).
fof(f5140,plain,
( sQ667_spl
| ~ sP2_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5138]) ).
fof(f5141,plain,
( ~ sQ47_spl
| sQ665_spl
| sQ667_spl ),
inference(split_clause,[status(thm)],[f5092,f5138,f5130,f550]) ).
fof(f5142,definition,
( sQ668_spl
<=> sP1_prd(sK18_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).
fof(f5143,plain,
( ~ sQ668_spl
| sP1_prd(sK18_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5142]) ).
fof(f5145,plain,
( ~ sQ47_spl
| sQ135_spl
| sQ668_spl ),
inference(split_clause,[status(thm)],[f5093,f5142,f1105,f550]) ).
fof(f5147,plain,
( ~ sQ666_spl
| ~ sQ135_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5135,f2656]) ).
fof(f5148,plain,
( ~ sQ668_spl
| ~ sQ135_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5143,f2657]) ).
fof(f5149,plain,
( ~ sQ666_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f5147]) ).
fof(f5150,plain,
( ~ sQ460_spl
| ~ sQ458_spl ),
inference(contradiction_clause,[status(thm)],[f5079]) ).
fof(f5151,plain,
( ~ sQ668_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f5148]) ).
fof(f5152,plain,
( ~ sQ461_spl
| ~ sQ458_spl ),
inference(contradiction_clause,[status(thm)],[f5080]) ).
fof(f5154,plain,
( ~ sQ20_spl
| ~ sQ47_spl
| p205(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f551,f253]) ).
fof(f5176,plain,
! [X0] :
( ~ sQ456_spl
| ~ sP4_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2711,f161]) ).
fof(f5177,plain,
! [X0] :
( ~ sQ456_spl
| ~ sP2_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2711,f151]) ).
fof(f5178,plain,
( ~ sQ459_spl
| ~ sQ456_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2722,f5177]) ).
fof(f5179,plain,
( ~ sQ459_spl
| ~ sQ456_spl ),
inference(contradiction_clause,[status(thm)],[f5178]) ).
fof(f5180,plain,
! [X0] :
( ~ sQ455_spl
| ~ sP5_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2707,f166]) ).
fof(f5181,plain,
( ~ sQ454_spl
| ~ sQ455_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2704,f5180]) ).
fof(f5182,plain,
( ~ sQ454_spl
| ~ sQ455_spl ),
inference(contradiction_clause,[status(thm)],[f5181]) ).
fof(f5183,plain,
! [X0] :
( ~ sQ450_spl
| ~ sP8_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2689,f181]) ).
fof(f5184,plain,
( ~ sQ449_spl
| ~ sQ450_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2686,f5183]) ).
fof(f5185,plain,
( ~ sQ449_spl
| ~ sQ450_spl ),
inference(contradiction_clause,[status(thm)],[f5184]) ).
fof(f5186,plain,
! [X0] :
( ~ sQ473_spl
| ~ sP3_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2787,f156]) ).
fof(f5187,plain,
! [X0] :
( ~ sQ473_spl
| ~ sP1_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2787,f146]) ).
fof(f5188,plain,
! [X0] :
( ~ sQ473_spl
| ~ sP0_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2787,f141]) ).
fof(f5189,plain,
( ~ sQ472_spl
| ~ sQ473_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2784,f5186]) ).
fof(f5190,plain,
( ~ sQ475_spl
| ~ sQ473_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2795,f5187]) ).
fof(f5191,plain,
( ~ sQ476_spl
| ~ sQ473_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2799,f5188]) ).
fof(f5192,plain,
( ~ sQ472_spl
| ~ sQ473_spl ),
inference(contradiction_clause,[status(thm)],[f5189]) ).
fof(f5194,plain,
( ~ sQ20_spl
| ~ sQ49_spl
| p205(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f253]) ).
fof(f5196,plain,
( ~ sQ49_spl
| p203(sK20_skl(sK51_skl))
| sP9_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f565,f187]) ).
fof(f5197,plain,
( ~ sQ49_spl
| p204(sK20_skl(sK51_skl))
| sP8_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f565,f182]) ).
fof(f5198,plain,
( ~ sQ49_spl
| p304(sK20_skl(sK51_skl))
| sP7_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f565,f177]) ).
fof(f5199,plain,
( ~ sQ49_spl
| p304(sK20_skl(sK51_skl))
| sP6_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f565,f172]) ).
fof(f5200,plain,
( ~ sQ49_spl
| p205(sK20_skl(sK51_skl))
| sP5_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f565,f167]) ).
fof(f5201,plain,
( ~ sQ49_spl
| p305(sK20_skl(sK51_skl))
| sP4_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f565,f162]) ).
fof(f5202,plain,
( ~ sQ49_spl
| p405(sK20_skl(sK51_skl))
| sP3_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f565,f157]) ).
fof(f5203,plain,
( ~ sQ49_spl
| p305(sK20_skl(sK51_skl))
| sP2_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f565,f152]) ).
fof(f5204,plain,
( ~ sQ49_spl
| p405(sK20_skl(sK51_skl))
| sP1_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f565,f147]) ).
fof(f5206,definition,
( sQ669_spl
<=> sP9_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ669_spl])],[split_symbol_definition]) ).
fof(f5207,plain,
( ~ sQ669_spl
| sP9_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5206]) ).
fof(f5209,definition,
( sQ670_spl
<=> p203(sK20_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).
fof(f5210,plain,
( ~ sQ670_spl
| p203(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5209]) ).
fof(f5211,plain,
( sQ670_spl
| ~ p203(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5209]) ).
fof(f5212,plain,
( ~ sQ49_spl
| sQ670_spl
| sQ669_spl ),
inference(split_clause,[status(thm)],[f5196,f5206,f5209,f564]) ).
fof(f5213,definition,
( sQ671_spl
<=> sP8_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ671_spl])],[split_symbol_definition]) ).
fof(f5214,plain,
( ~ sQ671_spl
| sP8_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5213]) ).
fof(f5215,plain,
( sQ671_spl
| ~ sP8_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5213]) ).
fof(f5216,definition,
( sQ672_spl
<=> p204(sK20_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ672_spl])],[split_symbol_definition]) ).
fof(f5217,plain,
( ~ sQ672_spl
| p204(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5216]) ).
fof(f5218,plain,
( sQ672_spl
| ~ p204(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5216]) ).
fof(f5219,plain,
( ~ sQ49_spl
| sQ672_spl
| sQ671_spl ),
inference(split_clause,[status(thm)],[f5197,f5213,f5216,f564]) ).
fof(f5220,definition,
( sQ673_spl
<=> sP7_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ673_spl])],[split_symbol_definition]) ).
fof(f5221,plain,
( ~ sQ673_spl
| sP7_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5220]) ).
fof(f5222,plain,
( sQ673_spl
| ~ sP7_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5220]) ).
fof(f5223,definition,
( sQ674_spl
<=> p304(sK20_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).
fof(f5224,plain,
( ~ sQ674_spl
| p304(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5223]) ).
fof(f5225,plain,
( sQ674_spl
| ~ p304(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5223]) ).
fof(f5226,plain,
( ~ sQ49_spl
| sQ674_spl
| sQ673_spl ),
inference(split_clause,[status(thm)],[f5198,f5220,f5223,f564]) ).
fof(f5227,definition,
( sQ675_spl
<=> sP6_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).
fof(f5228,plain,
( ~ sQ675_spl
| sP6_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5227]) ).
fof(f5230,plain,
( ~ sQ49_spl
| sQ674_spl
| sQ675_spl ),
inference(split_clause,[status(thm)],[f5199,f5227,f5223,f564]) ).
fof(f5231,definition,
( sQ676_spl
<=> sP5_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ676_spl])],[split_symbol_definition]) ).
fof(f5232,plain,
( ~ sQ676_spl
| sP5_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5231]) ).
fof(f5234,definition,
( sQ677_spl
<=> p205(sK20_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition]) ).
fof(f5235,plain,
( ~ sQ677_spl
| p205(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5234]) ).
fof(f5236,plain,
( sQ677_spl
| ~ p205(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5234]) ).
fof(f5237,plain,
( ~ sQ49_spl
| sQ677_spl
| sQ676_spl ),
inference(split_clause,[status(thm)],[f5200,f5231,f5234,f564]) ).
fof(f5238,definition,
( sQ678_spl
<=> sP4_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ678_spl])],[split_symbol_definition]) ).
fof(f5239,plain,
( ~ sQ678_spl
| sP4_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5238]) ).
fof(f5240,plain,
( sQ678_spl
| ~ sP4_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5238]) ).
fof(f5241,definition,
( sQ679_spl
<=> p305(sK20_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f5242,plain,
( ~ sQ679_spl
| p305(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5241]) ).
fof(f5243,plain,
( sQ679_spl
| ~ p305(sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5241]) ).
fof(f5244,plain,
( ~ sQ49_spl
| sQ679_spl
| sQ678_spl ),
inference(split_clause,[status(thm)],[f5201,f5238,f5241,f564]) ).
fof(f5245,definition,
( sQ680_spl
<=> sP3_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ680_spl])],[split_symbol_definition]) ).
fof(f5246,plain,
( ~ sQ680_spl
| sP3_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5245]) ).
fof(f5247,plain,
( sQ680_spl
| ~ sP3_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5245]) ).
fof(f5248,plain,
( ~ sQ49_spl
| sQ133_spl
| sQ680_spl ),
inference(split_clause,[status(thm)],[f5202,f5245,f1098,f564]) ).
fof(f5249,definition,
( sQ681_spl
<=> sP2_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ681_spl])],[split_symbol_definition]) ).
fof(f5250,plain,
( ~ sQ681_spl
| sP2_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5249]) ).
fof(f5251,plain,
( sQ681_spl
| ~ sP2_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5249]) ).
fof(f5252,plain,
( ~ sQ49_spl
| sQ679_spl
| sQ681_spl ),
inference(split_clause,[status(thm)],[f5203,f5249,f5241,f564]) ).
fof(f5253,definition,
( sQ682_spl
<=> sP1_prd(sK20_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ682_spl])],[split_symbol_definition]) ).
fof(f5254,plain,
( ~ sQ682_spl
| sP1_prd(sK20_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5253]) ).
fof(f5256,plain,
( ~ sQ49_spl
| sQ133_spl
| sQ682_spl ),
inference(split_clause,[status(thm)],[f5204,f5253,f1098,f564]) ).
fof(f5258,plain,
( ~ sQ680_spl
| ~ sQ133_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5246,f2871]) ).
fof(f5259,plain,
( ~ sQ682_spl
| ~ sQ133_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5254,f2872]) ).
fof(f5260,plain,
( ~ sQ680_spl
| ~ sQ133_spl ),
inference(contradiction_clause,[status(thm)],[f5258]) ).
fof(f5261,plain,
( ~ sQ475_spl
| ~ sQ473_spl ),
inference(contradiction_clause,[status(thm)],[f5190]) ).
fof(f5262,plain,
( ~ sQ682_spl
| ~ sQ133_spl ),
inference(contradiction_clause,[status(thm)],[f5259]) ).
fof(f5263,plain,
( ~ sQ476_spl
| ~ sQ473_spl ),
inference(contradiction_clause,[status(thm)],[f5191]) ).
fof(f5265,plain,
( ~ sQ20_spl
| ~ sQ49_spl
| p205(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f253]) ).
fof(f5287,plain,
! [X0] :
( ~ sQ471_spl
| ~ sP4_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2780,f161]) ).
fof(f5288,plain,
! [X0] :
( ~ sQ471_spl
| ~ sP2_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2780,f151]) ).
fof(f5289,plain,
( ~ sQ470_spl
| ~ sQ471_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2777,f5287]) ).
fof(f5290,plain,
( ~ sQ474_spl
| ~ sQ471_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2791,f5288]) ).
fof(f5291,plain,
( ~ sQ470_spl
| ~ sQ471_spl ),
inference(contradiction_clause,[status(thm)],[f5289]) ).
fof(f5292,plain,
! [X0] :
( ~ sQ465_spl
| ~ sP8_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2758,f181]) ).
fof(f5293,plain,
( ~ sQ464_spl
| ~ sQ465_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2755,f5292]) ).
fof(f5294,plain,
( ~ sQ464_spl
| ~ sQ465_spl ),
inference(contradiction_clause,[status(thm)],[f5293]) ).
fof(f5295,plain,
! [X0] :
( ~ sQ488_spl
| ~ sP3_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2856,f156]) ).
fof(f5296,plain,
! [X0] :
( ~ sQ488_spl
| ~ sP1_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2856,f146]) ).
fof(f5297,plain,
! [X0] :
( ~ sQ488_spl
| ~ sP0_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2856,f141]) ).
fof(f5298,plain,
( ~ sQ487_spl
| ~ sQ488_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2853,f5295]) ).
fof(f5299,plain,
( ~ sQ490_spl
| ~ sQ488_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2864,f5296]) ).
fof(f5300,plain,
( ~ sQ491_spl
| ~ sQ488_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2868,f5297]) ).
fof(f5301,plain,
( ~ sQ487_spl
| ~ sQ488_spl ),
inference(contradiction_clause,[status(thm)],[f5298]) ).
fof(f5303,plain,
( ~ sQ20_spl
| ~ sQ61_spl
| p205(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f253]) ).
fof(f5305,plain,
( ~ sQ61_spl
| p203(sK28_skl(sK51_skl))
| sP9_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f683,f187]) ).
fof(f5306,plain,
( ~ sQ61_spl
| p204(sK28_skl(sK51_skl))
| sP8_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f683,f182]) ).
fof(f5307,plain,
( ~ sQ61_spl
| p304(sK28_skl(sK51_skl))
| sP7_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f683,f177]) ).
fof(f5308,plain,
( ~ sQ61_spl
| p304(sK28_skl(sK51_skl))
| sP6_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f683,f172]) ).
fof(f5309,plain,
( ~ sQ61_spl
| p205(sK28_skl(sK51_skl))
| sP5_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f683,f167]) ).
fof(f5310,plain,
( ~ sQ61_spl
| p305(sK28_skl(sK51_skl))
| sP4_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f683,f162]) ).
fof(f5311,plain,
( ~ sQ61_spl
| p405(sK28_skl(sK51_skl))
| sP3_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f683,f157]) ).
fof(f5312,plain,
( ~ sQ61_spl
| p305(sK28_skl(sK51_skl))
| sP2_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f683,f152]) ).
fof(f5313,plain,
( ~ sQ61_spl
| p405(sK28_skl(sK51_skl))
| sP1_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f683,f147]) ).
fof(f5315,definition,
( sQ683_spl
<=> sP9_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition]) ).
fof(f5316,plain,
( ~ sQ683_spl
| sP9_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5315]) ).
fof(f5318,definition,
( sQ684_spl
<=> p203(sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ684_spl])],[split_symbol_definition]) ).
fof(f5319,plain,
( ~ sQ684_spl
| p203(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5318]) ).
fof(f5320,plain,
( sQ684_spl
| ~ p203(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5318]) ).
fof(f5321,plain,
( ~ sQ61_spl
| sQ684_spl
| sQ683_spl ),
inference(split_clause,[status(thm)],[f5305,f5315,f5318,f682]) ).
fof(f5322,definition,
( sQ685_spl
<=> sP8_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ685_spl])],[split_symbol_definition]) ).
fof(f5323,plain,
( ~ sQ685_spl
| sP8_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5322]) ).
fof(f5325,definition,
( sQ686_spl
<=> p204(sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ686_spl])],[split_symbol_definition]) ).
fof(f5326,plain,
( ~ sQ686_spl
| p204(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5325]) ).
fof(f5327,plain,
( sQ686_spl
| ~ p204(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5325]) ).
fof(f5328,plain,
( ~ sQ61_spl
| sQ686_spl
| sQ685_spl ),
inference(split_clause,[status(thm)],[f5306,f5322,f5325,f682]) ).
fof(f5329,definition,
( sQ687_spl
<=> sP7_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ687_spl])],[split_symbol_definition]) ).
fof(f5330,plain,
( ~ sQ687_spl
| sP7_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5329]) ).
fof(f5331,plain,
( sQ687_spl
| ~ sP7_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5329]) ).
fof(f5332,definition,
( sQ688_spl
<=> p304(sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ688_spl])],[split_symbol_definition]) ).
fof(f5333,plain,
( ~ sQ688_spl
| p304(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5332]) ).
fof(f5334,plain,
( sQ688_spl
| ~ p304(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5332]) ).
fof(f5335,plain,
( ~ sQ61_spl
| sQ688_spl
| sQ687_spl ),
inference(split_clause,[status(thm)],[f5307,f5329,f5332,f682]) ).
fof(f5336,definition,
( sQ689_spl
<=> sP6_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ689_spl])],[split_symbol_definition]) ).
fof(f5337,plain,
( ~ sQ689_spl
| sP6_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5336]) ).
fof(f5339,plain,
( ~ sQ61_spl
| sQ688_spl
| sQ689_spl ),
inference(split_clause,[status(thm)],[f5308,f5336,f5332,f682]) ).
fof(f5340,definition,
( sQ690_spl
<=> sP5_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).
fof(f5341,plain,
( ~ sQ690_spl
| sP5_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5340]) ).
fof(f5343,definition,
( sQ691_spl
<=> p205(sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition]) ).
fof(f5344,plain,
( ~ sQ691_spl
| p205(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5343]) ).
fof(f5345,plain,
( sQ691_spl
| ~ p205(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5343]) ).
fof(f5346,plain,
( ~ sQ61_spl
| sQ691_spl
| sQ690_spl ),
inference(split_clause,[status(thm)],[f5309,f5340,f5343,f682]) ).
fof(f5347,definition,
( sQ692_spl
<=> sP4_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition]) ).
fof(f5348,plain,
( ~ sQ692_spl
| sP4_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5347]) ).
fof(f5349,plain,
( sQ692_spl
| ~ sP4_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5347]) ).
fof(f5350,definition,
( sQ693_spl
<=> p305(sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ693_spl])],[split_symbol_definition]) ).
fof(f5351,plain,
( ~ sQ693_spl
| p305(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5350]) ).
fof(f5352,plain,
( sQ693_spl
| ~ p305(sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5350]) ).
fof(f5353,plain,
( ~ sQ61_spl
| sQ693_spl
| sQ692_spl ),
inference(split_clause,[status(thm)],[f5310,f5347,f5350,f682]) ).
fof(f5354,definition,
( sQ694_spl
<=> sP3_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition]) ).
fof(f5355,plain,
( ~ sQ694_spl
| sP3_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5354]) ).
fof(f5356,plain,
( sQ694_spl
| ~ sP3_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5354]) ).
fof(f5357,plain,
( ~ sQ61_spl
| sQ111_spl
| sQ694_spl ),
inference(split_clause,[status(thm)],[f5311,f5354,f1021,f682]) ).
fof(f5358,definition,
( sQ695_spl
<=> sP2_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ695_spl])],[split_symbol_definition]) ).
fof(f5359,plain,
( ~ sQ695_spl
| sP2_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5358]) ).
fof(f5360,plain,
( sQ695_spl
| ~ sP2_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5358]) ).
fof(f5361,plain,
( ~ sQ61_spl
| sQ693_spl
| sQ695_spl ),
inference(split_clause,[status(thm)],[f5312,f5358,f5350,f682]) ).
fof(f5362,definition,
( sQ696_spl
<=> sP1_prd(sK28_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ696_spl])],[split_symbol_definition]) ).
fof(f5363,plain,
( ~ sQ696_spl
| sP1_prd(sK28_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5362]) ).
fof(f5365,plain,
( ~ sQ61_spl
| sQ111_spl
| sQ696_spl ),
inference(split_clause,[status(thm)],[f5313,f5362,f1021,f682]) ).
fof(f5367,plain,
( ~ sQ694_spl
| ~ sQ111_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5355,f3581]) ).
fof(f5368,plain,
( ~ sQ696_spl
| ~ sQ111_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5363,f3582]) ).
fof(f5369,plain,
( ~ sQ694_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f5367]) ).
fof(f5370,plain,
( ~ sQ490_spl
| ~ sQ488_spl ),
inference(contradiction_clause,[status(thm)],[f5299]) ).
fof(f5371,plain,
( ~ sQ696_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f5368]) ).
fof(f5372,plain,
( ~ sQ491_spl
| ~ sQ488_spl ),
inference(contradiction_clause,[status(thm)],[f5300]) ).
fof(f5374,plain,
( ~ sQ20_spl
| ~ sQ61_spl
| p205(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f253]) ).
fof(f5396,plain,
! [X0] :
( ~ sQ486_spl
| ~ sP4_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2849,f161]) ).
fof(f5397,plain,
! [X0] :
( ~ sQ486_spl
| ~ sP2_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2849,f151]) ).
fof(f5398,plain,
( ~ sQ485_spl
| ~ sQ486_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2846,f5396]) ).
fof(f5399,plain,
( ~ sQ489_spl
| ~ sQ486_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2860,f5397]) ).
fof(f5400,plain,
( ~ sQ485_spl
| ~ sQ486_spl ),
inference(contradiction_clause,[status(thm)],[f5398]) ).
fof(f5401,plain,
! [X0] :
( ~ sQ484_spl
| ~ sP5_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2842,f166]) ).
fof(f5402,plain,
( ~ sQ483_spl
| ~ sQ484_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2839,f5401]) ).
fof(f5403,plain,
( ~ sQ483_spl
| ~ sQ484_spl ),
inference(contradiction_clause,[status(thm)],[f5402]) ).
fof(f5404,plain,
! [X0] :
( ~ sQ480_spl
| ~ sP8_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2827,f181]) ).
fof(f5405,plain,
( ~ sQ479_spl
| ~ sQ480_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2824,f5404]) ).
fof(f5406,plain,
( ~ sQ479_spl
| ~ sQ480_spl ),
inference(contradiction_clause,[status(thm)],[f5405]) ).
fof(f5407,plain,
! [X0] :
( ~ sQ318_spl
| ~ sP9_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1974,f186]) ).
fof(f5408,plain,
( ~ sQ317_spl
| ~ sQ318_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1971,f5407]) ).
fof(f5409,plain,
( ~ sQ317_spl
| ~ sQ318_spl ),
inference(contradiction_clause,[status(thm)],[f5408]) ).
fof(f5410,plain,
( ~ sQ322_spl
| ~ p604(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1988,f49]) ).
fof(f5411,plain,
! [X0] :
( ~ sQ322_spl
| ~ sP7_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1988,f176]) ).
fof(f5412,plain,
! [X0] :
( ~ sQ322_spl
| ~ sP6_prd(sK21_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1988,f171]) ).
fof(f5413,plain,
( ~ sQ322_spl
| ~ sQ1_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f5410,f1320,f191,f1987]) ).
fof(f5414,plain,
( ~ sQ321_spl
| ~ sQ322_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1985,f5411]) ).
fof(f5415,plain,
( ~ sQ323_spl
| ~ sQ322_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1992,f5412]) ).
fof(f5416,plain,
( ~ sQ321_spl
| ~ sQ322_spl ),
inference(contradiction_clause,[status(thm)],[f5414]) ).
fof(f5417,plain,
! [X0] :
( ~ sQ332_spl
| ~ sP9_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2043,f186]) ).
fof(f5418,plain,
( ~ sQ331_spl
| ~ sQ332_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2040,f5417]) ).
fof(f5419,plain,
( ~ sQ331_spl
| ~ sQ332_spl ),
inference(contradiction_clause,[status(thm)],[f5418]) ).
fof(f5420,plain,
! [X0] :
( ~ sQ336_spl
| ~ sP7_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2057,f176]) ).
fof(f5421,plain,
! [X0] :
( ~ sQ336_spl
| ~ sP6_prd(sK24_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2057,f171]) ).
fof(f5422,plain,
( ~ sQ335_spl
| ~ sQ336_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2054,f5420]) ).
fof(f5423,plain,
( ~ sQ337_spl
| ~ sQ336_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2061,f5421]) ).
fof(f5424,plain,
( ~ sQ335_spl
| ~ sQ336_spl ),
inference(contradiction_clause,[status(thm)],[f5422]) ).
fof(f5425,plain,
! [X0] :
( ~ sQ346_spl
| ~ sP9_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2112,f186]) ).
fof(f5426,plain,
( ~ sQ345_spl
| ~ sQ346_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2109,f5425]) ).
fof(f5427,plain,
( ~ sQ345_spl
| ~ sQ346_spl ),
inference(contradiction_clause,[status(thm)],[f5426]) ).
fof(f5428,plain,
! [X0] :
( ~ sQ350_spl
| ~ sP7_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2126,f176]) ).
fof(f5429,plain,
! [X0] :
( ~ sQ350_spl
| ~ sP6_prd(sK29_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2126,f171]) ).
fof(f5430,plain,
( ~ sQ349_spl
| ~ sQ350_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2123,f5428]) ).
fof(f5431,plain,
( ~ sQ351_spl
| ~ sQ350_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2130,f5429]) ).
fof(f5432,plain,
( ~ sQ349_spl
| ~ sQ350_spl ),
inference(contradiction_clause,[status(thm)],[f5430]) ).
fof(f5433,plain,
( ~ sQ390_spl
| ~ p503(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f2342,f81]) ).
fof(f5434,plain,
! [X0] :
( ~ sQ390_spl
| ~ sP9_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2342,f186]) ).
fof(f5435,plain,
( ~ sQ390_spl
| ~ sQ7_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f5433,f1320,f210,f2341]) ).
fof(f5436,plain,
( ~ sQ389_spl
| ~ sQ390_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2339,f5434]) ).
fof(f5437,plain,
( ~ sQ389_spl
| ~ sQ390_spl ),
inference(contradiction_clause,[status(thm)],[f5436]) ).
fof(f5438,plain,
! [X0] :
( ~ sQ394_spl
| ~ sP7_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2356,f176]) ).
fof(f5439,plain,
! [X0] :
( ~ sQ394_spl
| ~ sP6_prd(sK37_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2356,f171]) ).
fof(f5440,plain,
( ~ sQ393_spl
| ~ sQ394_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2353,f5438]) ).
fof(f5441,plain,
( ~ sQ395_spl
| ~ sQ394_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2360,f5439]) ).
fof(f5442,plain,
( ~ sQ393_spl
| ~ sQ394_spl ),
inference(contradiction_clause,[status(thm)],[f5440]) ).
fof(f5443,plain,
! [X0] :
( ~ sQ404_spl
| ~ sP9_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2408,f186]) ).
fof(f5444,plain,
( ~ sQ403_spl
| ~ sQ404_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2405,f5443]) ).
fof(f5445,plain,
( ~ sQ403_spl
| ~ sQ404_spl ),
inference(contradiction_clause,[status(thm)],[f5444]) ).
fof(f5446,plain,
( ~ sQ168_spl
| r1(sK51_skl,sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1240,f145]) ).
fof(f5447,plain,
( ~ sQ168_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f5446,f286,f1239]) ).
fof(f5448,plain,
( ~ sQ20_spl
| ~ sQ30_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f309,f1463,f286,f252]) ).
fof(f5449,plain,
( ~ sQ158_spl
| ~ sQ159_spl ),
inference(contradiction_clause,[status(thm)],[f2311]) ).
fof(f5460,plain,
( ~ sQ76_spl
| ~ sQ27_spl
| p103(sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f275,f3512]) ).
fof(f5461,plain,
( ~ sQ68_spl
| ~ sQ27_spl
| p103(sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f275,f3264]) ).
fof(f5462,plain,
( ~ sQ62_spl
| ~ sQ27_spl
| p103(sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f275,f3263]) ).
fof(f5471,plain,
( ~ sQ35_spl
| ~ sQ21_spl
| p204(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f359]) ).
fof(f5474,plain,
( ~ sQ68_spl
| ~ sQ21_spl
| p204(sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f3264]) ).
fof(f5481,plain,
( ~ sQ67_spl
| ~ sQ15_spl
| p305(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f747]) ).
fof(f5482,plain,
( ~ sQ59_spl
| ~ sQ15_spl
| p305(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f675]) ).
fof(f5483,plain,
( ~ sQ74_spl
| ~ sQ15_spl
| p305(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f816]) ).
fof(f5484,plain,
( ~ sQ35_spl
| ~ sQ15_spl
| p305(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f359]) ).
fof(f5486,plain,
( ~ sQ76_spl
| ~ sQ15_spl
| p305(sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f3512]) ).
fof(f5487,plain,
( ~ sQ68_spl
| ~ sQ15_spl
| p305(sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f3264]) ).
fof(f5488,plain,
( ~ sQ62_spl
| ~ sQ15_spl
| p305(sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f3263]) ).
fof(f5489,plain,
! [X0] :
( ~ sQ408_spl
| ~ sP7_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2422,f176]) ).
fof(f5490,plain,
! [X0] :
( ~ sQ408_spl
| ~ sP6_prd(sK41_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2422,f171]) ).
fof(f5491,plain,
( ~ sQ407_spl
| ~ sQ408_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2419,f5489]) ).
fof(f5492,plain,
( ~ sQ409_spl
| ~ sQ408_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2426,f5490]) ).
fof(f5493,plain,
( ~ sQ407_spl
| ~ sQ408_spl ),
inference(contradiction_clause,[status(thm)],[f5491]) ).
fof(f5494,plain,
! [X0] :
( ~ sQ493_spl
| ~ sP9_prd(sK30_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2901,f186]) ).
fof(f5495,plain,
! [X0] :
( ~ sQ478_spl
| ~ sP9_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2820,f186]) ).
fof(f5496,plain,
( ~ sQ477_spl
| ~ sQ478_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2817,f5495]) ).
fof(f5497,plain,
( ~ sQ477_spl
| ~ sQ478_spl ),
inference(contradiction_clause,[status(thm)],[f5496]) ).
fof(f5498,plain,
! [X0] :
( ~ sQ463_spl
| ~ sP9_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2751,f186]) ).
fof(f5499,plain,
( ~ sQ462_spl
| ~ sQ463_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2748,f5498]) ).
fof(f5500,plain,
( ~ sQ462_spl
| ~ sQ463_spl ),
inference(contradiction_clause,[status(thm)],[f5499]) ).
fof(f5501,plain,
! [X0] :
( ~ sQ448_spl
| ~ sP9_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2682,f186]) ).
fof(f5502,plain,
( ~ sQ447_spl
| ~ sQ448_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2679,f5501]) ).
fof(f5503,plain,
( ~ sQ447_spl
| ~ sQ448_spl ),
inference(contradiction_clause,[status(thm)],[f5502]) ).
fof(f5504,plain,
! [X0] :
( ~ sQ433_spl
| ~ sP9_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2543,f186]) ).
fof(f5505,plain,
( ~ sQ432_spl
| ~ sQ433_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2540,f5504]) ).
fof(f5506,plain,
( ~ sQ432_spl
| ~ sQ433_spl ),
inference(contradiction_clause,[status(thm)],[f5505]) ).
fof(f5507,plain,
! [X0] :
( ~ sQ418_spl
| ~ sP9_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2474,f186]) ).
fof(f5508,plain,
( ~ sQ417_spl
| ~ sQ418_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2471,f5507]) ).
fof(f5509,plain,
( ~ sQ417_spl
| ~ sQ418_spl ),
inference(contradiction_clause,[status(thm)],[f5508]) ).
fof(f5510,plain,
! [X0] :
( ~ sQ375_spl
| ~ sP9_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2253,f186]) ).
fof(f5511,plain,
( ~ sQ374_spl
| ~ sQ375_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2250,f5510]) ).
fof(f5512,plain,
( ~ sQ374_spl
| ~ sQ375_spl ),
inference(contradiction_clause,[status(thm)],[f5511]) ).
fof(f5513,plain,
! [X0] :
( ~ sQ360_spl
| ~ sP9_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2181,f186]) ).
fof(f5514,plain,
( ~ sQ359_spl
| ~ sQ360_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2178,f5513]) ).
fof(f5515,plain,
( ~ sQ359_spl
| ~ sQ360_spl ),
inference(contradiction_clause,[status(thm)],[f5514]) ).
fof(f5516,plain,
! [X0] :
( ~ sQ495_spl
| ~ sP9_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2931,f186]) ).
fof(f5517,plain,
( ~ sQ494_spl
| ~ sQ495_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2928,f5516]) ).
fof(f5518,plain,
( ~ sQ494_spl
| ~ sQ495_spl ),
inference(contradiction_clause,[status(thm)],[f5517]) ).
fof(f5519,plain,
! [X0] :
( ~ sQ497_spl
| ~ sP9_prd(sK25_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2959,f186]) ).
fof(f5520,plain,
( ~ sQ496_spl
| ~ sQ497_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2956,f5519]) ).
fof(f5521,plain,
( ~ sQ496_spl
| ~ sQ497_spl ),
inference(contradiction_clause,[status(thm)],[f5520]) ).
fof(f5522,plain,
( ~ sQ274_spl
| r1(sK51_skl,sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1741,f145]) ).
fof(f5523,plain,
( ~ sQ274_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f5522,f292,f1740]) ).
fof(f5524,plain,
( ~ sQ21_spl
| ~ sQ31_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f320,f1703,f292,f255]) ).
fof(f5525,plain,
( ~ sQ267_spl
| ~ sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f4666]) ).
fof(f5526,plain,
( ~ sQ10_spl
| ~ sQ74_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3145,f944,f815,f220]) ).
fof(f5527,plain,
( ~ sQ59_spl
| ~ sQ10_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f3137,f1028,f220,f674]) ).
fof(f5528,plain,
( ~ sQ67_spl
| ~ sQ10_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3136,f986,f220,f746]) ).
fof(f5529,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f367,f1161,f358,f220]) ).
fof(f5530,plain,
( ~ sQ445_spl
| ~ sQ443_spl ),
inference(contradiction_clause,[status(thm)],[f4997]) ).
fof(f5531,plain,
! [X0] :
( ~ sQ508_spl
| ~ sP4_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3019,f161]) ).
fof(f5532,plain,
! [X0] :
( ~ sQ508_spl
| ~ sP2_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3019,f151]) ).
fof(f5533,plain,
( ~ sQ507_spl
| ~ sQ508_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3016,f5531]) ).
fof(f5534,plain,
( ~ sQ510_spl
| ~ sQ508_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3027,f5532]) ).
fof(f5535,plain,
( ~ sQ507_spl
| ~ sQ508_spl ),
inference(contradiction_clause,[status(thm)],[f5533]) ).
fof(f5536,plain,
( ~ sQ510_spl
| ~ sQ508_spl ),
inference(contradiction_clause,[status(thm)],[f5534]) ).
fof(f5537,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f3132,f2549,f255,f519]) ).
fof(f5538,plain,
( ~ sQ59_spl
| ~ sQ15_spl
| sQ508_spl ),
inference(split_clause,[status(thm)],[f5482,f3018,f236,f674]) ).
fof(f5541,plain,
( ~ sQ20_spl
| ~ sQ44_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f5024,f2567,f519,f252]) ).
fof(f5567,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| p204(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2323]) ).
fof(f5573,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f5575,plain,
( ~ sQ35_spl
| ~ sQ21_spl
| p204(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f359]) ).
fof(f5580,plain,
! [X0] :
( ~ sQ506_spl
| ~ sP5_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3012,f166]) ).
fof(f5581,plain,
( ~ sQ505_spl
| ~ sQ506_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3009,f5580]) ).
fof(f5582,plain,
( ~ sQ505_spl
| ~ sQ506_spl ),
inference(contradiction_clause,[status(thm)],[f5581]) ).
fof(f5583,plain,
! [X0] :
( ~ sQ501_spl
| ~ sP8_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2994,f181]) ).
fof(f5584,plain,
( ~ sQ500_spl
| ~ sQ501_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2991,f5583]) ).
fof(f5585,plain,
( ~ sQ500_spl
| ~ sQ501_spl ),
inference(contradiction_clause,[status(thm)],[f5584]) ).
fof(f5586,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| sQ501_spl ),
inference(split_clause,[status(thm)],[f5573,f2993,f255,f674]) ).
fof(f5589,plain,
( ~ sQ20_spl
| ~ sQ59_spl
| sQ506_spl ),
inference(split_clause,[status(thm)],[f4721,f3011,f674,f252]) ).
fof(f5593,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| p204(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2323]) ).
fof(f5598,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| p204(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f747]) ).
fof(f5599,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f5601,plain,
( ~ sQ35_spl
| ~ sQ21_spl
| p204(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f359]) ).
fof(f5606,plain,
( ~ sQ499_spl
| ~ p603(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f2987,f79]) ).
fof(f5607,plain,
! [X0] :
( ~ sQ499_spl
| ~ sP9_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2987,f186]) ).
fof(f5608,plain,
( ~ sQ499_spl
| ~ sQ2_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f5606,f1320,f194,f2986]) ).
fof(f5609,plain,
( ~ sQ498_spl
| ~ sQ499_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2984,f5607]) ).
fof(f5610,plain,
( ~ sQ498_spl
| ~ sQ499_spl ),
inference(contradiction_clause,[status(thm)],[f5609]) ).
fof(f5611,plain,
! [X0] :
( ~ sQ522_spl
| ~ sP4_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3083,f161]) ).
fof(f5612,plain,
! [X0] :
( ~ sQ522_spl
| ~ sP2_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3083,f151]) ).
fof(f5613,plain,
( ~ sQ521_spl
| ~ sQ522_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3080,f5611]) ).
fof(f5614,plain,
( ~ sQ524_spl
| ~ sQ522_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3091,f5612]) ).
fof(f5615,plain,
( ~ sQ521_spl
| ~ sQ522_spl ),
inference(contradiction_clause,[status(thm)],[f5613]) ).
fof(f5616,plain,
( ~ sQ524_spl
| ~ sQ522_spl ),
inference(contradiction_clause,[status(thm)],[f5614]) ).
fof(f5617,plain,
( ~ sQ67_spl
| ~ sQ15_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f5481,f3082,f236,f746]) ).
fof(f5620,plain,
! [X0] :
( ~ sQ520_spl
| ~ sP5_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3076,f166]) ).
fof(f5621,plain,
( ~ sQ519_spl
| ~ sQ520_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3073,f5620]) ).
fof(f5622,plain,
( ~ sQ519_spl
| ~ sQ520_spl ),
inference(contradiction_clause,[status(thm)],[f5621]) ).
fof(f5623,plain,
! [X0] :
( ~ sQ515_spl
| ~ sP8_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3058,f181]) ).
fof(f5624,plain,
( ~ sQ514_spl
| ~ sQ515_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3055,f5623]) ).
fof(f5625,plain,
( ~ sQ514_spl
| ~ sQ515_spl ),
inference(contradiction_clause,[status(thm)],[f5624]) ).
fof(f5626,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| sQ515_spl ),
inference(split_clause,[status(thm)],[f5598,f3057,f255,f746]) ).
fof(f5630,plain,
( ~ sQ20_spl
| ~ sQ67_spl
| sQ520_spl ),
inference(split_clause,[status(thm)],[f4744,f3075,f746,f252]) ).
fof(f5634,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| p204(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2323]) ).
fof(f5639,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| p204(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f747]) ).
fof(f5640,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f5641,plain,
( ~ sQ74_spl
| ~ sQ21_spl
| p204(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f816]) ).
fof(f5642,plain,
( ~ sQ35_spl
| ~ sQ21_spl
| p204(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f359]) ).
fof(f5647,plain,
! [X0] :
( ~ sQ513_spl
| ~ sP9_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3051,f186]) ).
fof(f5648,plain,
( ~ sQ512_spl
| ~ sQ513_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3048,f5647]) ).
fof(f5649,plain,
( ~ sQ512_spl
| ~ sQ513_spl ),
inference(contradiction_clause,[status(thm)],[f5648]) ).
fof(f5650,plain,
! [X0] :
( ~ sQ536_spl
| ~ sP4_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3197,f161]) ).
fof(f5651,plain,
! [X0] :
( ~ sQ536_spl
| ~ sP2_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3197,f151]) ).
fof(f5652,plain,
( ~ sQ535_spl
| ~ sQ536_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3194,f5650]) ).
fof(f5653,plain,
( ~ sQ538_spl
| ~ sQ536_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3205,f5651]) ).
fof(f5654,plain,
( ~ sQ535_spl
| ~ sQ536_spl ),
inference(contradiction_clause,[status(thm)],[f5652]) ).
fof(f5655,plain,
( ~ sQ538_spl
| ~ sQ536_spl ),
inference(contradiction_clause,[status(thm)],[f5653]) ).
fof(f5656,plain,
( ~ sQ74_spl
| ~ sQ15_spl
| sQ536_spl ),
inference(split_clause,[status(thm)],[f5483,f3196,f236,f815]) ).
fof(f5659,plain,
! [X0] :
( ~ sQ527_spl
| ~ sP9_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3165,f186]) ).
fof(f5660,plain,
( ~ sQ526_spl
| ~ sQ527_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3162,f5659]) ).
fof(f5661,plain,
( ~ sQ526_spl
| ~ sQ527_spl ),
inference(contradiction_clause,[status(thm)],[f5660]) ).
fof(f5663,plain,
! [X0] :
( ~ sQ529_spl
| ~ sP8_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3172,f181]) ).
fof(f5664,plain,
( ~ sQ528_spl
| ~ sQ529_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3169,f5663]) ).
fof(f5665,plain,
( ~ sQ528_spl
| ~ sQ529_spl ),
inference(contradiction_clause,[status(thm)],[f5664]) ).
fof(f5666,plain,
( ~ sQ74_spl
| ~ sQ21_spl
| sQ529_spl ),
inference(split_clause,[status(thm)],[f5641,f3171,f255,f815]) ).
fof(f5672,plain,
( ~ sQ61_spl
| ~ sQ20_spl
| p205(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f683]) ).
fof(f5673,plain,
( ~ sQ49_spl
| ~ sQ20_spl
| p205(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f565]) ).
fof(f5674,plain,
( ~ sQ47_spl
| ~ sQ20_spl
| p205(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f551]) ).
fof(f5675,plain,
( ~ sQ41_spl
| ~ sQ20_spl
| p205(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f434]) ).
fof(f5676,plain,
( ~ sQ67_spl
| ~ sQ20_spl
| p205(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f747]) ).
fof(f5677,plain,
( ~ sQ59_spl
| ~ sQ20_spl
| p205(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f675]) ).
fof(f5678,plain,
( ~ sQ74_spl
| ~ sQ20_spl
| p205(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f816]) ).
fof(f5679,plain,
( ~ sQ35_spl
| ~ sQ20_spl
| p205(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f359]) ).
fof(f5681,plain,
( ~ sQ76_spl
| ~ sQ20_spl
| p205(sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f3512]) ).
fof(f5682,plain,
( ~ sQ68_spl
| ~ sQ20_spl
| p205(sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f3264]) ).
fof(f5683,plain,
( ~ sQ62_spl
| ~ sQ20_spl
| p205(sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f3263]) ).
fof(f5684,plain,
! [X0] :
( ~ sQ503_spl
| ~ sP7_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3001,f176]) ).
fof(f5685,plain,
! [X0] :
( ~ sQ503_spl
| ~ sP6_prd(sK36_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3001,f171]) ).
fof(f5686,plain,
( ~ sQ502_spl
| ~ sQ503_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2998,f5684]) ).
fof(f5687,plain,
( ~ sQ504_spl
| ~ sQ503_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3005,f5685]) ).
fof(f5688,plain,
( ~ sQ502_spl
| ~ sQ503_spl ),
inference(contradiction_clause,[status(thm)],[f5686]) ).
fof(f5689,plain,
( ~ sQ504_spl
| ~ sQ503_spl ),
inference(contradiction_clause,[status(thm)],[f5687]) ).
fof(f5690,plain,
( ~ sQ156_spl
| r1(sK51_skl,sK2_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1180,f140]) ).
fof(f5691,plain,
( ~ sQ156_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f5690,f292,f1179]) ).
fof(f5692,plain,
( ~ sQ20_spl
| ~ sQ31_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f319,f1721,f292,f252]) ).
fof(f5693,plain,
( ~ sQ273_spl
| ~ sQ271_spl ),
inference(contradiction_clause,[status(thm)],[f4145]) ).
fof(f5694,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| p204(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2323]) ).
fof(f5699,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| p204(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f747]) ).
fof(f5700,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f5701,plain,
( ~ sQ74_spl
| ~ sQ21_spl
| p204(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f816]) ).
fof(f5702,plain,
( ~ sQ35_spl
| ~ sQ21_spl
| p204(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f359]) ).
fof(f5704,plain,
( ~ sQ76_spl
| ~ sQ21_spl
| p204(sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f3512]) ).
fof(f5706,plain,
( ~ sQ62_spl
| ~ sQ21_spl
| p204(sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f3263]) ).
fof(f5707,plain,
! [X0] :
( ~ sQ517_spl
| ~ sP7_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3065,f176]) ).
fof(f5708,plain,
! [X0] :
( ~ sQ517_spl
| ~ sP6_prd(sK40_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3065,f171]) ).
fof(f5709,plain,
( ~ sQ516_spl
| ~ sQ517_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3062,f5707]) ).
fof(f5710,plain,
( ~ sQ518_spl
| ~ sQ517_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3069,f5708]) ).
fof(f5711,plain,
( ~ sQ516_spl
| ~ sQ517_spl ),
inference(contradiction_clause,[status(thm)],[f5709]) ).
fof(f5712,plain,
( ~ sQ518_spl
| ~ sQ517_spl ),
inference(contradiction_clause,[status(thm)],[f5710]) ).
fof(f5713,plain,
! [X0] :
( ~ sQ534_spl
| ~ sP5_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3190,f166]) ).
fof(f5714,plain,
( ~ sQ533_spl
| ~ sQ534_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3187,f5713]) ).
fof(f5715,plain,
( ~ sQ533_spl
| ~ sQ534_spl ),
inference(contradiction_clause,[status(thm)],[f5714]) ).
fof(f5716,plain,
! [X0] :
( ~ sQ531_spl
| ~ sP7_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3179,f176]) ).
fof(f5717,plain,
! [X0] :
( ~ sQ531_spl
| ~ sP6_prd(sK47_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3179,f171]) ).
fof(f5718,plain,
( ~ sQ530_spl
| ~ sQ531_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3176,f5716]) ).
fof(f5719,plain,
( ~ sQ532_spl
| ~ sQ531_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3183,f5717]) ).
fof(f5720,plain,
( ~ sQ530_spl
| ~ sQ531_spl ),
inference(contradiction_clause,[status(thm)],[f5718]) ).
fof(f5721,plain,
( ~ sQ532_spl
| ~ sQ531_spl ),
inference(contradiction_clause,[status(thm)],[f5719]) ).
fof(f5722,plain,
! [X0] :
( ~ sQ550_spl
| ~ sP4_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3360,f161]) ).
fof(f5723,plain,
! [X0] :
( ~ sQ550_spl
| ~ sP2_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3360,f151]) ).
fof(f5724,plain,
( ~ sQ549_spl
| ~ sQ550_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3357,f5722]) ).
fof(f5725,plain,
( ~ sQ552_spl
| ~ sQ550_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3368,f5723]) ).
fof(f5726,plain,
( ~ sQ549_spl
| ~ sQ550_spl ),
inference(contradiction_clause,[status(thm)],[f5724]) ).
fof(f5727,plain,
! [X0] :
( ~ sQ543_spl
| ~ sP8_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3335,f181]) ).
fof(f5728,plain,
( ~ sQ542_spl
| ~ sQ543_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3332,f5727]) ).
fof(f5729,plain,
( ~ sQ542_spl
| ~ sQ543_spl ),
inference(contradiction_clause,[status(thm)],[f5728]) ).
fof(f5730,plain,
! [X0] :
( ~ sQ541_spl
| ~ sP9_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3328,f186]) ).
fof(f5731,plain,
( ~ sQ540_spl
| ~ sQ541_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3325,f5730]) ).
fof(f5732,plain,
( ~ sQ540_spl
| ~ sQ541_spl ),
inference(contradiction_clause,[status(thm)],[f5731]) ).
fof(f5733,plain,
! [X0] :
( ~ sQ565_spl
| ~ sP3_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3429,f156]) ).
fof(f5734,plain,
! [X0] :
( ~ sQ565_spl
| ~ sP1_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3429,f146]) ).
fof(f5735,plain,
! [X0] :
( ~ sQ565_spl
| ~ sP0_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3429,f141]) ).
fof(f5736,plain,
( ~ sQ564_spl
| ~ sQ565_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3426,f5733]) ).
fof(f5737,plain,
( ~ sQ567_spl
| ~ sQ565_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3437,f5734]) ).
fof(f5738,plain,
( ~ sQ568_spl
| ~ sQ565_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3441,f5735]) ).
fof(f5739,plain,
( ~ sQ564_spl
| ~ sQ565_spl ),
inference(contradiction_clause,[status(thm)],[f5736]) ).
fof(f5744,plain,
( ~ sQ63_spl
| p203(sK33_skl(sK51_skl))
| sP9_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f691,f187]) ).
fof(f5745,plain,
( ~ sQ63_spl
| p204(sK33_skl(sK51_skl))
| sP8_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f691,f182]) ).
fof(f5746,plain,
( ~ sQ63_spl
| p304(sK33_skl(sK51_skl))
| sP7_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f691,f177]) ).
fof(f5747,plain,
( ~ sQ63_spl
| p304(sK33_skl(sK51_skl))
| sP6_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f691,f172]) ).
fof(f5748,plain,
( ~ sQ63_spl
| p205(sK33_skl(sK51_skl))
| sP5_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f691,f167]) ).
fof(f5749,plain,
( ~ sQ63_spl
| p305(sK33_skl(sK51_skl))
| sP4_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f691,f162]) ).
fof(f5750,plain,
( ~ sQ63_spl
| p405(sK33_skl(sK51_skl))
| sP3_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f691,f157]) ).
fof(f5751,plain,
( ~ sQ63_spl
| p305(sK33_skl(sK51_skl))
| sP2_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f691,f152]) ).
fof(f5752,plain,
( ~ sQ63_spl
| p405(sK33_skl(sK51_skl))
| sP1_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f691,f147]) ).
fof(f5754,definition,
( sQ697_spl
<=> sP9_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ697_spl])],[split_symbol_definition]) ).
fof(f5755,plain,
( ~ sQ697_spl
| sP9_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5754]) ).
fof(f5757,definition,
( sQ698_spl
<=> p203(sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ698_spl])],[split_symbol_definition]) ).
fof(f5758,plain,
( ~ sQ698_spl
| p203(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5757]) ).
fof(f5759,plain,
( sQ698_spl
| ~ p203(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5757]) ).
fof(f5760,plain,
( ~ sQ63_spl
| sQ698_spl
| sQ697_spl ),
inference(split_clause,[status(thm)],[f5744,f5754,f5757,f690]) ).
fof(f5761,definition,
( sQ699_spl
<=> sP8_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ699_spl])],[split_symbol_definition]) ).
fof(f5762,plain,
( ~ sQ699_spl
| sP8_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5761]) ).
fof(f5764,definition,
( sQ700_spl
<=> p204(sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ700_spl])],[split_symbol_definition]) ).
fof(f5765,plain,
( ~ sQ700_spl
| p204(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5764]) ).
fof(f5766,plain,
( sQ700_spl
| ~ p204(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5764]) ).
fof(f5767,plain,
( ~ sQ63_spl
| sQ700_spl
| sQ699_spl ),
inference(split_clause,[status(thm)],[f5745,f5761,f5764,f690]) ).
fof(f5768,definition,
( sQ701_spl
<=> sP7_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ701_spl])],[split_symbol_definition]) ).
fof(f5769,plain,
( ~ sQ701_spl
| sP7_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5768]) ).
fof(f5770,plain,
( sQ701_spl
| ~ sP7_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5768]) ).
fof(f5771,definition,
( sQ702_spl
<=> p304(sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ702_spl])],[split_symbol_definition]) ).
fof(f5772,plain,
( ~ sQ702_spl
| p304(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5771]) ).
fof(f5773,plain,
( sQ702_spl
| ~ p304(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5771]) ).
fof(f5774,plain,
( ~ sQ63_spl
| sQ702_spl
| sQ701_spl ),
inference(split_clause,[status(thm)],[f5746,f5768,f5771,f690]) ).
fof(f5775,definition,
( sQ703_spl
<=> sP6_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ703_spl])],[split_symbol_definition]) ).
fof(f5776,plain,
( ~ sQ703_spl
| sP6_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5775]) ).
fof(f5778,plain,
( ~ sQ63_spl
| sQ702_spl
| sQ703_spl ),
inference(split_clause,[status(thm)],[f5747,f5775,f5771,f690]) ).
fof(f5779,definition,
( sQ704_spl
<=> sP5_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ704_spl])],[split_symbol_definition]) ).
fof(f5780,plain,
( ~ sQ704_spl
| sP5_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5779]) ).
fof(f5782,definition,
( sQ705_spl
<=> p205(sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ705_spl])],[split_symbol_definition]) ).
fof(f5783,plain,
( ~ sQ705_spl
| p205(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5782]) ).
fof(f5784,plain,
( sQ705_spl
| ~ p205(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5782]) ).
fof(f5785,plain,
( ~ sQ63_spl
| sQ705_spl
| sQ704_spl ),
inference(split_clause,[status(thm)],[f5748,f5779,f5782,f690]) ).
fof(f5786,definition,
( sQ706_spl
<=> sP4_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ706_spl])],[split_symbol_definition]) ).
fof(f5787,plain,
( ~ sQ706_spl
| sP4_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5786]) ).
fof(f5788,plain,
( sQ706_spl
| ~ sP4_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5786]) ).
fof(f5789,definition,
( sQ707_spl
<=> p305(sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ707_spl])],[split_symbol_definition]) ).
fof(f5790,plain,
( ~ sQ707_spl
| p305(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5789]) ).
fof(f5791,plain,
( sQ707_spl
| ~ p305(sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5789]) ).
fof(f5792,plain,
( ~ sQ63_spl
| sQ707_spl
| sQ706_spl ),
inference(split_clause,[status(thm)],[f5749,f5786,f5789,f690]) ).
fof(f5793,definition,
( sQ708_spl
<=> sP3_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ708_spl])],[split_symbol_definition]) ).
fof(f5794,plain,
( ~ sQ708_spl
| sP3_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5793]) ).
fof(f5795,plain,
( sQ708_spl
| ~ sP3_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5793]) ).
fof(f5796,plain,
( ~ sQ63_spl
| sQ109_spl
| sQ708_spl ),
inference(split_clause,[status(thm)],[f5750,f5793,f1014,f690]) ).
fof(f5797,definition,
( sQ709_spl
<=> sP2_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ709_spl])],[split_symbol_definition]) ).
fof(f5798,plain,
( ~ sQ709_spl
| sP2_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5797]) ).
fof(f5799,plain,
( sQ709_spl
| ~ sP2_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5797]) ).
fof(f5800,plain,
( ~ sQ63_spl
| sQ707_spl
| sQ709_spl ),
inference(split_clause,[status(thm)],[f5751,f5797,f5789,f690]) ).
fof(f5801,definition,
( sQ710_spl
<=> sP1_prd(sK33_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ710_spl])],[split_symbol_definition]) ).
fof(f5802,plain,
( ~ sQ710_spl
| sP1_prd(sK33_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5801]) ).
fof(f5804,plain,
( ~ sQ63_spl
| sQ109_spl
| sQ710_spl ),
inference(split_clause,[status(thm)],[f5752,f5801,f1014,f690]) ).
fof(f5806,plain,
( ~ sQ708_spl
| ~ sQ109_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5794,f3586]) ).
fof(f5807,plain,
( ~ sQ710_spl
| ~ sQ109_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5802,f3587]) ).
fof(f5808,plain,
( ~ sQ708_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f5806]) ).
fof(f5809,plain,
( ~ sQ567_spl
| ~ sQ565_spl ),
inference(contradiction_clause,[status(thm)],[f5737]) ).
fof(f5810,plain,
( ~ sQ710_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f5807]) ).
fof(f5811,plain,
( ~ sQ568_spl
| ~ sQ565_spl ),
inference(contradiction_clause,[status(thm)],[f5738]) ).
fof(f5836,plain,
! [X0] :
( ~ sQ563_spl
| ~ sP4_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3422,f161]) ).
fof(f5837,plain,
! [X0] :
( ~ sQ563_spl
| ~ sP2_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3422,f151]) ).
fof(f5838,plain,
( ~ sQ562_spl
| ~ sQ563_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3419,f5836]) ).
fof(f5839,plain,
( ~ sQ566_spl
| ~ sQ563_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3433,f5837]) ).
fof(f5840,plain,
( ~ sQ562_spl
| ~ sQ563_spl ),
inference(contradiction_clause,[status(thm)],[f5838]) ).
fof(f5841,plain,
! [X0] :
( ~ sQ557_spl
| ~ sP8_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3400,f181]) ).
fof(f5842,plain,
( ~ sQ556_spl
| ~ sQ557_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3397,f5841]) ).
fof(f5843,plain,
( ~ sQ556_spl
| ~ sQ557_spl ),
inference(contradiction_clause,[status(thm)],[f5842]) ).
fof(f5844,plain,
! [X0] :
( ~ sQ555_spl
| ~ sP9_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3393,f186]) ).
fof(f5845,plain,
( ~ sQ554_spl
| ~ sQ555_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3390,f5844]) ).
fof(f5846,plain,
( ~ sQ554_spl
| ~ sQ555_spl ),
inference(contradiction_clause,[status(thm)],[f5845]) ).
fof(f5847,plain,
! [X0] :
( ~ sQ580_spl
| ~ sP3_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3497,f156]) ).
fof(f5848,plain,
! [X0] :
( ~ sQ580_spl
| ~ sP1_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3497,f146]) ).
fof(f5849,plain,
! [X0] :
( ~ sQ580_spl
| ~ sP0_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3497,f141]) ).
fof(f5850,plain,
( ~ sQ579_spl
| ~ sQ580_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3494,f5847]) ).
fof(f5851,plain,
( ~ sQ582_spl
| ~ sQ580_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3505,f5848]) ).
fof(f5852,plain,
( ~ sQ583_spl
| ~ sQ580_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3509,f5849]) ).
fof(f5853,plain,
( ~ sQ579_spl
| ~ sQ580_spl ),
inference(contradiction_clause,[status(thm)],[f5850]) ).
fof(f5858,plain,
( ~ sQ69_spl
| p203(sK35_skl(sK51_skl))
| sP9_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f761,f187]) ).
fof(f5859,plain,
( ~ sQ69_spl
| p204(sK35_skl(sK51_skl))
| sP8_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f761,f182]) ).
fof(f5860,plain,
( ~ sQ69_spl
| p304(sK35_skl(sK51_skl))
| sP7_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f761,f177]) ).
fof(f5861,plain,
( ~ sQ69_spl
| p304(sK35_skl(sK51_skl))
| sP6_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f761,f172]) ).
fof(f5862,plain,
( ~ sQ69_spl
| p205(sK35_skl(sK51_skl))
| sP5_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f761,f167]) ).
fof(f5863,plain,
( ~ sQ69_spl
| p305(sK35_skl(sK51_skl))
| sP4_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f761,f162]) ).
fof(f5864,plain,
( ~ sQ69_spl
| p405(sK35_skl(sK51_skl))
| sP3_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f761,f157]) ).
fof(f5865,plain,
( ~ sQ69_spl
| p305(sK35_skl(sK51_skl))
| sP2_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f761,f152]) ).
fof(f5866,plain,
( ~ sQ69_spl
| p405(sK35_skl(sK51_skl))
| sP1_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f761,f147]) ).
fof(f5868,definition,
( sQ711_spl
<=> sP9_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ711_spl])],[split_symbol_definition]) ).
fof(f5869,plain,
( ~ sQ711_spl
| sP9_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5868]) ).
fof(f5871,definition,
( sQ712_spl
<=> p203(sK35_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ712_spl])],[split_symbol_definition]) ).
fof(f5872,plain,
( ~ sQ712_spl
| p203(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5871]) ).
fof(f5873,plain,
( sQ712_spl
| ~ p203(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5871]) ).
fof(f5874,plain,
( ~ sQ69_spl
| sQ712_spl
| sQ711_spl ),
inference(split_clause,[status(thm)],[f5858,f5868,f5871,f760]) ).
fof(f5875,definition,
( sQ713_spl
<=> sP8_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ713_spl])],[split_symbol_definition]) ).
fof(f5876,plain,
( ~ sQ713_spl
| sP8_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5875]) ).
fof(f5877,plain,
( sQ713_spl
| ~ sP8_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5875]) ).
fof(f5878,definition,
( sQ714_spl
<=> p204(sK35_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ714_spl])],[split_symbol_definition]) ).
fof(f5879,plain,
( ~ sQ714_spl
| p204(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5878]) ).
fof(f5880,plain,
( sQ714_spl
| ~ p204(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5878]) ).
fof(f5881,plain,
( ~ sQ69_spl
| sQ714_spl
| sQ713_spl ),
inference(split_clause,[status(thm)],[f5859,f5875,f5878,f760]) ).
fof(f5882,definition,
( sQ715_spl
<=> sP7_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ715_spl])],[split_symbol_definition]) ).
fof(f5883,plain,
( ~ sQ715_spl
| sP7_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5882]) ).
fof(f5884,plain,
( sQ715_spl
| ~ sP7_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5882]) ).
fof(f5885,definition,
( sQ716_spl
<=> p304(sK35_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ716_spl])],[split_symbol_definition]) ).
fof(f5886,plain,
( ~ sQ716_spl
| p304(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5885]) ).
fof(f5887,plain,
( sQ716_spl
| ~ p304(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5885]) ).
fof(f5888,plain,
( ~ sQ69_spl
| sQ716_spl
| sQ715_spl ),
inference(split_clause,[status(thm)],[f5860,f5882,f5885,f760]) ).
fof(f5889,definition,
( sQ717_spl
<=> sP6_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ717_spl])],[split_symbol_definition]) ).
fof(f5890,plain,
( ~ sQ717_spl
| sP6_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5889]) ).
fof(f5892,plain,
( ~ sQ69_spl
| sQ716_spl
| sQ717_spl ),
inference(split_clause,[status(thm)],[f5861,f5889,f5885,f760]) ).
fof(f5893,definition,
( sQ718_spl
<=> sP5_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ718_spl])],[split_symbol_definition]) ).
fof(f5894,plain,
( ~ sQ718_spl
| sP5_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5893]) ).
fof(f5896,definition,
( sQ719_spl
<=> p205(sK35_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ719_spl])],[split_symbol_definition]) ).
fof(f5897,plain,
( ~ sQ719_spl
| p205(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5896]) ).
fof(f5898,plain,
( sQ719_spl
| ~ p205(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5896]) ).
fof(f5899,plain,
( ~ sQ69_spl
| sQ719_spl
| sQ718_spl ),
inference(split_clause,[status(thm)],[f5862,f5893,f5896,f760]) ).
fof(f5900,definition,
( sQ720_spl
<=> sP4_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ720_spl])],[split_symbol_definition]) ).
fof(f5901,plain,
( ~ sQ720_spl
| sP4_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5900]) ).
fof(f5902,plain,
( sQ720_spl
| ~ sP4_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5900]) ).
fof(f5903,definition,
( sQ721_spl
<=> p305(sK35_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ721_spl])],[split_symbol_definition]) ).
fof(f5904,plain,
( ~ sQ721_spl
| p305(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5903]) ).
fof(f5905,plain,
( sQ721_spl
| ~ p305(sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5903]) ).
fof(f5906,plain,
( ~ sQ69_spl
| sQ721_spl
| sQ720_spl ),
inference(split_clause,[status(thm)],[f5863,f5900,f5903,f760]) ).
fof(f5907,definition,
( sQ722_spl
<=> sP3_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ722_spl])],[split_symbol_definition]) ).
fof(f5908,plain,
( ~ sQ722_spl
| sP3_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5907]) ).
fof(f5909,plain,
( sQ722_spl
| ~ sP3_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5907]) ).
fof(f5910,plain,
( ~ sQ69_spl
| sQ99_spl
| sQ722_spl ),
inference(split_clause,[status(thm)],[f5864,f5907,f979,f760]) ).
fof(f5911,definition,
( sQ723_spl
<=> sP2_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ723_spl])],[split_symbol_definition]) ).
fof(f5912,plain,
( ~ sQ723_spl
| sP2_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5911]) ).
fof(f5913,plain,
( sQ723_spl
| ~ sP2_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5911]) ).
fof(f5914,plain,
( ~ sQ69_spl
| sQ721_spl
| sQ723_spl ),
inference(split_clause,[status(thm)],[f5865,f5911,f5903,f760]) ).
fof(f5915,definition,
( sQ724_spl
<=> sP1_prd(sK35_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ724_spl])],[split_symbol_definition]) ).
fof(f5916,plain,
( ~ sQ724_spl
| sP1_prd(sK35_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5915]) ).
fof(f5918,plain,
( ~ sQ69_spl
| sQ99_spl
| sQ724_spl ),
inference(split_clause,[status(thm)],[f5866,f5915,f979,f760]) ).
fof(f5920,plain,
( ~ sQ722_spl
| ~ sQ99_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5908,f3765]) ).
fof(f5921,plain,
( ~ sQ724_spl
| ~ sQ99_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5916,f3766]) ).
fof(f5922,plain,
( ~ sQ722_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f5920]) ).
fof(f5923,plain,
( ~ sQ582_spl
| ~ sQ580_spl ),
inference(contradiction_clause,[status(thm)],[f5851]) ).
fof(f5924,plain,
( ~ sQ724_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f5921]) ).
fof(f5925,plain,
( ~ sQ583_spl
| ~ sQ580_spl ),
inference(contradiction_clause,[status(thm)],[f5852]) ).
fof(f5950,plain,
! [X0] :
( ~ sQ578_spl
| ~ sP4_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3490,f161]) ).
fof(f5951,plain,
! [X0] :
( ~ sQ578_spl
| ~ sP2_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3490,f151]) ).
fof(f5952,plain,
( ~ sQ577_spl
| ~ sQ578_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3487,f5950]) ).
fof(f5953,plain,
( ~ sQ581_spl
| ~ sQ578_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3501,f5951]) ).
fof(f5954,plain,
( ~ sQ577_spl
| ~ sQ578_spl ),
inference(contradiction_clause,[status(thm)],[f5952]) ).
fof(f5955,plain,
! [X0] :
( ~ sQ570_spl
| ~ sP9_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3461,f186]) ).
fof(f5956,plain,
( ~ sQ569_spl
| ~ sQ570_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3458,f5955]) ).
fof(f5957,plain,
( ~ sQ569_spl
| ~ sQ570_spl ),
inference(contradiction_clause,[status(thm)],[f5956]) ).
fof(f5958,plain,
! [X0] :
( ~ sQ595_spl
| ~ sP3_prd(sK44_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3566,f156]) ).
fof(f5959,plain,
! [X0] :
( ~ sQ595_spl
| ~ sP1_prd(sK44_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3566,f146]) ).
fof(f5960,plain,
! [X0] :
( ~ sQ595_spl
| ~ sP0_prd(sK44_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3566,f141]) ).
fof(f5961,plain,
( ~ sQ594_spl
| ~ sQ595_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3563,f5958]) ).
fof(f5962,plain,
( ~ sQ597_spl
| ~ sQ595_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3574,f5959]) ).
fof(f5963,plain,
( ~ sQ598_spl
| ~ sQ595_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3578,f5960]) ).
fof(f5964,plain,
( ~ sQ594_spl
| ~ sQ595_spl ),
inference(contradiction_clause,[status(thm)],[f5961]) ).
fof(f5969,plain,
( ~ sQ77_spl
| p203(sK45_skl(sK51_skl))
| sP9_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f841,f187]) ).
fof(f5970,plain,
( ~ sQ77_spl
| p204(sK45_skl(sK51_skl))
| sP8_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f841,f182]) ).
fof(f5971,plain,
( ~ sQ77_spl
| p304(sK45_skl(sK51_skl))
| sP7_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f841,f177]) ).
fof(f5972,plain,
( ~ sQ77_spl
| p304(sK45_skl(sK51_skl))
| sP6_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f841,f172]) ).
fof(f5973,plain,
( ~ sQ77_spl
| p205(sK45_skl(sK51_skl))
| sP5_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f841,f167]) ).
fof(f5974,plain,
( ~ sQ77_spl
| p305(sK45_skl(sK51_skl))
| sP4_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f841,f162]) ).
fof(f5975,plain,
( ~ sQ77_spl
| p405(sK45_skl(sK51_skl))
| sP3_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f841,f157]) ).
fof(f5976,plain,
( ~ sQ77_spl
| p305(sK45_skl(sK51_skl))
| sP2_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f841,f152]) ).
fof(f5977,plain,
( ~ sQ77_spl
| p405(sK45_skl(sK51_skl))
| sP1_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f841,f147]) ).
fof(f5979,definition,
( sQ725_spl
<=> sP9_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ725_spl])],[split_symbol_definition]) ).
fof(f5980,plain,
( ~ sQ725_spl
| sP9_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5979]) ).
fof(f5982,definition,
( sQ726_spl
<=> p203(sK45_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ726_spl])],[split_symbol_definition]) ).
fof(f5983,plain,
( ~ sQ726_spl
| p203(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5982]) ).
fof(f5984,plain,
( sQ726_spl
| ~ p203(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5982]) ).
fof(f5985,plain,
( ~ sQ77_spl
| sQ726_spl
| sQ725_spl ),
inference(split_clause,[status(thm)],[f5969,f5979,f5982,f840]) ).
fof(f5986,definition,
( sQ727_spl
<=> sP8_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ727_spl])],[split_symbol_definition]) ).
fof(f5987,plain,
( ~ sQ727_spl
| sP8_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5986]) ).
fof(f5989,definition,
( sQ728_spl
<=> p204(sK45_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ728_spl])],[split_symbol_definition]) ).
fof(f5990,plain,
( ~ sQ728_spl
| p204(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5989]) ).
fof(f5991,plain,
( sQ728_spl
| ~ p204(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5989]) ).
fof(f5992,plain,
( ~ sQ77_spl
| sQ728_spl
| sQ727_spl ),
inference(split_clause,[status(thm)],[f5970,f5986,f5989,f840]) ).
fof(f5993,definition,
( sQ729_spl
<=> sP7_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ729_spl])],[split_symbol_definition]) ).
fof(f5994,plain,
( ~ sQ729_spl
| sP7_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5993]) ).
fof(f5995,plain,
( sQ729_spl
| ~ sP7_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f5993]) ).
fof(f5996,definition,
( sQ730_spl
<=> p304(sK45_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ730_spl])],[split_symbol_definition]) ).
fof(f5997,plain,
( ~ sQ730_spl
| p304(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5996]) ).
fof(f5998,plain,
( sQ730_spl
| ~ p304(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f5996]) ).
fof(f5999,plain,
( ~ sQ77_spl
| sQ730_spl
| sQ729_spl ),
inference(split_clause,[status(thm)],[f5971,f5993,f5996,f840]) ).
fof(f6000,definition,
( sQ731_spl
<=> sP6_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ731_spl])],[split_symbol_definition]) ).
fof(f6001,plain,
( ~ sQ731_spl
| sP6_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6000]) ).
fof(f6003,plain,
( ~ sQ77_spl
| sQ730_spl
| sQ731_spl ),
inference(split_clause,[status(thm)],[f5972,f6000,f5996,f840]) ).
fof(f6004,definition,
( sQ732_spl
<=> sP5_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ732_spl])],[split_symbol_definition]) ).
fof(f6005,plain,
( ~ sQ732_spl
| sP5_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6004]) ).
fof(f6007,definition,
( sQ733_spl
<=> p205(sK45_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ733_spl])],[split_symbol_definition]) ).
fof(f6008,plain,
( ~ sQ733_spl
| p205(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6007]) ).
fof(f6009,plain,
( sQ733_spl
| ~ p205(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6007]) ).
fof(f6010,plain,
( ~ sQ77_spl
| sQ733_spl
| sQ732_spl ),
inference(split_clause,[status(thm)],[f5973,f6004,f6007,f840]) ).
fof(f6011,definition,
( sQ734_spl
<=> sP4_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ734_spl])],[split_symbol_definition]) ).
fof(f6012,plain,
( ~ sQ734_spl
| sP4_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6011]) ).
fof(f6013,plain,
( sQ734_spl
| ~ sP4_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6011]) ).
fof(f6014,definition,
( sQ735_spl
<=> p305(sK45_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ735_spl])],[split_symbol_definition]) ).
fof(f6015,plain,
( ~ sQ735_spl
| p305(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6014]) ).
fof(f6016,plain,
( sQ735_spl
| ~ p305(sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6014]) ).
fof(f6017,plain,
( ~ sQ77_spl
| sQ735_spl
| sQ734_spl ),
inference(split_clause,[status(thm)],[f5974,f6011,f6014,f840]) ).
fof(f6018,definition,
( sQ736_spl
<=> sP3_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ736_spl])],[split_symbol_definition]) ).
fof(f6019,plain,
( ~ sQ736_spl
| sP3_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6018]) ).
fof(f6020,plain,
( sQ736_spl
| ~ sP3_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6018]) ).
fof(f6021,plain,
( ~ sQ77_spl
| sQ85_spl
| sQ736_spl ),
inference(split_clause,[status(thm)],[f5975,f6018,f930,f840]) ).
fof(f6022,definition,
( sQ737_spl
<=> sP2_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ737_spl])],[split_symbol_definition]) ).
fof(f6023,plain,
( ~ sQ737_spl
| sP2_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6022]) ).
fof(f6024,plain,
( sQ737_spl
| ~ sP2_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6022]) ).
fof(f6025,plain,
( ~ sQ77_spl
| sQ735_spl
| sQ737_spl ),
inference(split_clause,[status(thm)],[f5976,f6022,f6014,f840]) ).
fof(f6026,definition,
( sQ738_spl
<=> sP1_prd(sK45_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ738_spl])],[split_symbol_definition]) ).
fof(f6027,plain,
( ~ sQ738_spl
| sP1_prd(sK45_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6026]) ).
fof(f6029,plain,
( ~ sQ77_spl
| sQ85_spl
| sQ738_spl ),
inference(split_clause,[status(thm)],[f5977,f6026,f930,f840]) ).
fof(f6031,plain,
( ~ sQ736_spl
| ~ sQ85_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6019,f4003]) ).
fof(f6032,plain,
( ~ sQ738_spl
| ~ sQ85_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6027,f4004]) ).
fof(f6033,plain,
( ~ sQ736_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6031]) ).
fof(f6034,plain,
( ~ sQ597_spl
| ~ sQ595_spl ),
inference(contradiction_clause,[status(thm)],[f5962]) ).
fof(f6035,plain,
( ~ sQ738_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6032]) ).
fof(f6036,plain,
( ~ sQ598_spl
| ~ sQ595_spl ),
inference(contradiction_clause,[status(thm)],[f5963]) ).
fof(f6061,plain,
! [X0] :
( ~ sQ593_spl
| ~ sP4_prd(sK44_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3559,f161]) ).
fof(f6062,plain,
! [X0] :
( ~ sQ593_spl
| ~ sP2_prd(sK44_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3559,f151]) ).
fof(f6063,plain,
( ~ sQ592_spl
| ~ sQ593_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3556,f6061]) ).
fof(f6064,plain,
( ~ sQ596_spl
| ~ sQ593_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3570,f6062]) ).
fof(f6065,plain,
( ~ sQ592_spl
| ~ sQ593_spl ),
inference(contradiction_clause,[status(thm)],[f6063]) ).
fof(f6066,plain,
! [X0] :
( ~ sQ586_spl
| ~ sP8_prd(sK44_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3534,f181]) ).
fof(f6067,plain,
( ~ sQ585_spl
| ~ sQ586_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3531,f6066]) ).
fof(f6068,plain,
( ~ sQ585_spl
| ~ sQ586_spl ),
inference(contradiction_clause,[status(thm)],[f6067]) ).
fof(f6069,plain,
! [X0] :
( ~ sQ548_spl
| ~ sP5_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3353,f166]) ).
fof(f6070,plain,
( ~ sQ547_spl
| ~ sQ548_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3350,f6069]) ).
fof(f6071,plain,
( ~ sQ547_spl
| ~ sQ548_spl ),
inference(contradiction_clause,[status(thm)],[f6070]) ).
fof(f6072,plain,
! [X0] :
( ~ sQ545_spl
| ~ sP7_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3342,f176]) ).
fof(f6073,plain,
! [X0] :
( ~ sQ545_spl
| ~ sP6_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3342,f171]) ).
fof(f6074,plain,
( ~ sQ544_spl
| ~ sQ545_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3339,f6072]) ).
fof(f6075,plain,
( ~ sQ546_spl
| ~ sQ545_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3346,f6073]) ).
fof(f6076,plain,
( ~ sQ544_spl
| ~ sQ545_spl ),
inference(contradiction_clause,[status(thm)],[f6074]) ).
fof(f6077,plain,
( ~ sQ167_spl
| r1(sK51_skl,sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1236,f145]) ).
fof(f6078,plain,
( ~ sQ167_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f6077,f297,f1235]) ).
fof(f6079,plain,
( ~ sQ15_spl
| ~ sQ32_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f327,f1295,f297,f236]) ).
fof(f6080,plain,
( ~ sQ21_spl
| ~ sQ32_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f330,f1640,f297,f255]) ).
fof(f6081,plain,
( ~ sQ154_spl
| ~ sQ155_spl ),
inference(contradiction_clause,[status(thm)],[f2599]) ).
fof(f6082,plain,
( ~ sQ74_spl
| ~ sQ20_spl
| sQ534_spl ),
inference(split_clause,[status(thm)],[f5678,f3189,f252,f815]) ).
fof(f6090,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| p204(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2323]) ).
fof(f6095,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| p204(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f747]) ).
fof(f6096,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f6097,plain,
( ~ sQ74_spl
| ~ sQ21_spl
| p204(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f816]) ).
fof(f6098,plain,
( ~ sQ35_spl
| ~ sQ21_spl
| p204(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f359]) ).
fof(f6100,plain,
( ~ sQ288_spl
| r1(sK51_skl,sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1810,f145]) ).
fof(f6101,plain,
( ~ sQ288_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f6100,f302,f1809]) ).
fof(f6102,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f340,f1772,f302,f255]) ).
fof(f6103,plain,
( ~ sQ15_spl
| ~ sQ33_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f337,f1797,f302,f236]) ).
fof(f6104,plain,
( ~ sQ152_spl
| ~ sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f2606]) ).
fof(f6105,plain,
( ~ sQ77_spl
| ~ sQ20_spl
| p205(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f841]) ).
fof(f6106,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| p205(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f761]) ).
fof(f6107,plain,
( ~ sQ63_spl
| ~ sQ20_spl
| p205(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f691]) ).
fof(f6108,plain,
( ~ sQ44_spl
| ~ sQ20_spl
| p205(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f2323]) ).
fof(f6109,plain,
( ~ sQ61_spl
| ~ sQ20_spl
| p205(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f683]) ).
fof(f6110,plain,
( ~ sQ49_spl
| ~ sQ20_spl
| p205(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f565]) ).
fof(f6111,plain,
( ~ sQ47_spl
| ~ sQ20_spl
| p205(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f551]) ).
fof(f6112,plain,
( ~ sQ41_spl
| ~ sQ20_spl
| p205(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f434]) ).
fof(f6113,plain,
( ~ sQ67_spl
| ~ sQ20_spl
| p205(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f747]) ).
fof(f6114,plain,
( ~ sQ59_spl
| ~ sQ20_spl
| p205(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f675]) ).
fof(f6115,plain,
( ~ sQ74_spl
| ~ sQ20_spl
| p205(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f816]) ).
fof(f6116,plain,
( ~ sQ35_spl
| ~ sQ20_spl
| p205(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f359]) ).
fof(f6118,plain,
( ~ sQ166_spl
| r1(sK51_skl,sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1232,f145]) ).
fof(f6119,plain,
( ~ sQ166_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f6118,f363,f1231]) ).
fof(f6120,plain,
( ~ sQ148_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f2618]) ).
fof(f6121,plain,
( ~ sQ302_spl
| r1(sK51_skl,sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1879,f145]) ).
fof(f6122,plain,
( ~ sQ302_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f6121,f404,f1878]) ).
fof(f6123,plain,
( ~ sQ146_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2625]) ).
fof(f6124,plain,
( ~ sQ165_spl
| r1(sK51_skl,sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1228,f145]) ).
fof(f6125,plain,
( ~ sQ165_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f6124,f466,f1227]) ).
fof(f6126,plain,
( ~ sQ20_spl
| ~ sQ42_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f470,f1442,f466,f252]) ).
fof(f6127,plain,
( ~ sQ140_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f2642]) ).
fof(f6131,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| p204(sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f2323]) ).
fof(f6136,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| p204(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f747]) ).
fof(f6137,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f6138,plain,
( ~ sQ74_spl
| ~ sQ21_spl
| p204(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f816]) ).
fof(f6139,plain,
( ~ sQ35_spl
| ~ sQ21_spl
| p204(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f359]) ).
fof(f6141,plain,
! [X0] :
( ~ sQ588_spl
| ~ sP7_prd(sK44_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3541,f176]) ).
fof(f6142,plain,
! [X0] :
( ~ sQ588_spl
| ~ sP6_prd(sK44_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3541,f171]) ).
fof(f6143,plain,
( ~ sQ587_spl
| ~ sQ588_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3538,f6141]) ).
fof(f6144,plain,
( ~ sQ589_spl
| ~ sQ588_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3545,f6142]) ).
fof(f6145,plain,
( ~ sQ587_spl
| ~ sQ588_spl ),
inference(contradiction_clause,[status(thm)],[f6143]) ).
fof(f6146,plain,
! [X0] :
( ~ sQ573_spl
| ~ sP7_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3472,f176]) ).
fof(f6147,plain,
! [X0] :
( ~ sQ573_spl
| ~ sP6_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3472,f171]) ).
fof(f6148,plain,
( ~ sQ572_spl
| ~ sQ573_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3469,f6146]) ).
fof(f6149,plain,
( ~ sQ574_spl
| ~ sQ573_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3476,f6147]) ).
fof(f6150,plain,
( ~ sQ572_spl
| ~ sQ573_spl ),
inference(contradiction_clause,[status(thm)],[f6148]) ).
fof(f6151,plain,
! [X0] :
( ~ sQ558_spl
| ~ sP7_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3404,f176]) ).
fof(f6152,plain,
! [X0] :
( ~ sQ558_spl
| ~ sP6_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3404,f171]) ).
fof(f6153,plain,
( ~ sQ559_spl
| ~ sQ558_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3408,f6152]) ).
fof(f6154,plain,
( ~ sQ559_spl
| ~ sQ558_spl ),
inference(contradiction_clause,[status(thm)],[f6153]) ).
fof(f6155,plain,
! [X0] :
( ~ sQ482_spl
| ~ sP7_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2834,f176]) ).
fof(f6156,plain,
! [X0] :
( ~ sQ482_spl
| ~ sP6_prd(sK27_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2834,f171]) ).
fof(f6157,plain,
( ~ sQ481_spl
| ~ sQ482_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2831,f6155]) ).
fof(f6158,plain,
( ~ sQ481_spl
| ~ sQ482_spl ),
inference(contradiction_clause,[status(thm)],[f6157]) ).
fof(f6159,plain,
! [X0] :
( ~ sQ467_spl
| ~ sP7_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2765,f176]) ).
fof(f6160,plain,
! [X0] :
( ~ sQ467_spl
| ~ sP6_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2765,f171]) ).
fof(f6161,plain,
( ~ sQ466_spl
| ~ sQ467_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2762,f6159]) ).
fof(f6162,plain,
( ~ sQ468_spl
| ~ sQ467_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2769,f6160]) ).
fof(f6163,plain,
( ~ sQ466_spl
| ~ sQ467_spl ),
inference(contradiction_clause,[status(thm)],[f6161]) ).
fof(f6164,plain,
! [X0] :
( ~ sQ452_spl
| ~ sP7_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2696,f176]) ).
fof(f6165,plain,
! [X0] :
( ~ sQ452_spl
| ~ sP6_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2696,f171]) ).
fof(f6166,plain,
( ~ sQ451_spl
| ~ sQ452_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2693,f6164]) ).
fof(f6167,plain,
( ~ sQ453_spl
| ~ sQ452_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2700,f6165]) ).
fof(f6168,plain,
( ~ sQ451_spl
| ~ sQ452_spl ),
inference(contradiction_clause,[status(thm)],[f6166]) ).
fof(f6169,plain,
! [X0] :
( ~ sQ437_spl
| ~ sP7_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2557,f176]) ).
fof(f6170,plain,
! [X0] :
( ~ sQ437_spl
| ~ sP6_prd(sK15_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2557,f171]) ).
fof(f6171,plain,
( ~ sQ436_spl
| ~ sQ437_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2554,f6169]) ).
fof(f6172,plain,
( ~ sQ438_spl
| ~ sQ437_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2561,f6170]) ).
fof(f6173,plain,
( ~ sQ436_spl
| ~ sQ437_spl ),
inference(contradiction_clause,[status(thm)],[f6171]) ).
fof(f6198,plain,
! [X0] :
( ~ sQ422_spl
| ~ sP7_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2488,f176]) ).
fof(f6199,plain,
! [X0] :
( ~ sQ422_spl
| ~ sP6_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2488,f171]) ).
fof(f6200,plain,
( ~ sQ421_spl
| ~ sQ422_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2485,f6198]) ).
fof(f6201,plain,
( ~ sQ423_spl
| ~ sQ422_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2492,f6199]) ).
fof(f6202,plain,
( ~ sQ421_spl
| ~ sQ422_spl ),
inference(contradiction_clause,[status(thm)],[f6200]) ).
fof(f6203,plain,
! [X0] :
( ~ sQ379_spl
| ~ sP7_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2267,f176]) ).
fof(f6204,plain,
! [X0] :
( ~ sQ379_spl
| ~ sP6_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2267,f171]) ).
fof(f6205,plain,
( ~ sQ378_spl
| ~ sQ379_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2264,f6203]) ).
fof(f6206,plain,
( ~ sQ380_spl
| ~ sQ379_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2271,f6204]) ).
fof(f6207,plain,
( ~ sQ378_spl
| ~ sQ379_spl ),
inference(contradiction_clause,[status(thm)],[f6205]) ).
fof(f6208,plain,
! [X0] :
( ~ sQ364_spl
| ~ sP7_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2195,f176]) ).
fof(f6209,plain,
! [X0] :
( ~ sQ364_spl
| ~ sP6_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f2195,f171]) ).
fof(f6210,plain,
( ~ sQ365_spl
| ~ sQ364_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2199,f6209]) ).
fof(f6211,plain,
( ~ sQ365_spl
| ~ sQ364_spl ),
inference(contradiction_clause,[status(thm)],[f6210]) ).
fof(f6212,plain,
! [X0] :
( ~ sQ604_spl
| ~ sP7_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4376,f176]) ).
fof(f6213,plain,
! [X0] :
( ~ sQ604_spl
| ~ sP6_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4376,f171]) ).
fof(f6214,plain,
( ~ sQ603_spl
| ~ sQ604_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4373,f6212]) ).
fof(f6215,plain,
( ~ sQ605_spl
| ~ sQ604_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4380,f6213]) ).
fof(f6216,plain,
( ~ sQ603_spl
| ~ sQ604_spl ),
inference(contradiction_clause,[status(thm)],[f6214]) ).
fof(f6217,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f4339,f2212,f236,f355]) ).
fof(f6218,plain,
( ~ sQ34_spl
| ~ sQ21_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f3135,f2187,f255,f355]) ).
fof(f6220,plain,
( ~ sQ373_spl
| ~ sQ371_spl ),
inference(contradiction_clause,[status(thm)],[f4658]) ).
fof(f6221,plain,
( ~ sQ20_spl
| ~ sQ33_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f339,f1790,f302,f252]) ).
fof(f6222,plain,
( ~ sQ20_spl
| ~ sQ32_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f329,f1456,f297,f252]) ).
fof(f6223,plain,
( ~ sQ605_spl
| ~ sQ604_spl ),
inference(contradiction_clause,[status(thm)],[f6215]) ).
fof(f6268,plain,
( ~ sQ45_spl
| ~ sQ15_spl
| p305(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f523]) ).
fof(f6269,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| p305(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f1672]) ).
fof(f6277,plain,
( ~ sQ67_spl
| ~ sQ15_spl
| p305(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f747]) ).
fof(f6278,plain,
( ~ sQ59_spl
| ~ sQ15_spl
| p305(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f675]) ).
fof(f6279,plain,
( ~ sQ74_spl
| ~ sQ15_spl
| p305(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f237,f816]) ).
fof(f6282,plain,
( ~ sQ34_spl
| ~ sQ21_spl
| p204(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f1672]) ).
fof(f6290,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| p204(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f747]) ).
fof(f6291,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f6292,plain,
( ~ sQ74_spl
| ~ sQ21_spl
| p204(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f816]) ).
fof(f6294,plain,
! [X0] :
( ~ sQ602_spl
| ~ sP8_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4369,f181]) ).
fof(f6295,plain,
( ~ sQ601_spl
| ~ sQ602_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4366,f6294]) ).
fof(f6296,plain,
( ~ sQ601_spl
| ~ sQ602_spl ),
inference(contradiction_clause,[status(thm)],[f6295]) ).
fof(f6297,plain,
! [X0] :
( ~ sQ600_spl
| ~ sP9_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4362,f186]) ).
fof(f6298,plain,
( ~ sQ599_spl
| ~ sQ600_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4359,f6297]) ).
fof(f6299,plain,
( ~ sQ599_spl
| ~ sQ600_spl ),
inference(contradiction_clause,[status(thm)],[f6298]) ).
fof(f6300,plain,
! [X0] :
( ~ sQ607_spl
| ~ sP5_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4387,f166]) ).
fof(f6301,plain,
( ~ sQ606_spl
| ~ sQ607_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4384,f6300]) ).
fof(f6302,plain,
( ~ sQ606_spl
| ~ sQ607_spl ),
inference(contradiction_clause,[status(thm)],[f6301]) ).
fof(f6303,plain,
( ~ sQ609_spl
| sP0_prd(sK5_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f4394,f26]) ).
fof(f6304,plain,
! [X0] :
( ~ sQ609_spl
| ~ sP4_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4394,f161]) ).
fof(f6305,plain,
! [X0] :
( ~ sQ609_spl
| ~ sP2_prd(sK6_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4394,f151]) ).
fof(f6306,plain,
( ~ sQ609_spl
| sQ34_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f6303,f1320,f355,f4393]) ).
fof(f6307,plain,
( ~ sQ608_spl
| ~ sQ609_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4391,f6304]) ).
fof(f6308,plain,
( ~ sQ611_spl
| ~ sQ609_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4402,f6305]) ).
fof(f6309,plain,
( ~ sQ608_spl
| ~ sQ609_spl ),
inference(contradiction_clause,[status(thm)],[f6307]) ).
fof(f6310,plain,
! [X0] :
( ~ sQ618_spl
| ~ sP7_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4472,f176]) ).
fof(f6311,plain,
! [X0] :
( ~ sQ618_spl
| ~ sP6_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4472,f171]) ).
fof(f6312,plain,
( ~ sQ617_spl
| ~ sQ618_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4469,f6310]) ).
fof(f6313,plain,
( ~ sQ619_spl
| ~ sQ618_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4476,f6311]) ).
fof(f6314,plain,
( ~ sQ617_spl
| ~ sQ618_spl ),
inference(contradiction_clause,[status(thm)],[f6312]) ).
fof(f6315,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f4338,f2284,f236,f422]) ).
fof(f6316,plain,
( ~ sQ38_spl
| ~ sQ21_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f3134,f2259,f255,f422]) ).
fof(f6318,plain,
( ~ sQ380_spl
| ~ sQ379_spl ),
inference(contradiction_clause,[status(thm)],[f6206]) ).
fof(f6319,plain,
( ~ sQ20_spl
| ~ sQ34_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f4415,f2205,f355,f252]) ).
fof(f6322,plain,
( ~ sQ619_spl
| ~ sQ618_spl ),
inference(contradiction_clause,[status(thm)],[f6313]) ).
fof(f6323,plain,
( ~ sQ15_spl
| ~ sQ39_spl
| p305(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f426,f237]) ).
fof(f6346,plain,
( ~ sQ39_spl
| ~ sQ21_spl
| p204(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f426]) ).
fof(f6348,plain,
( ~ sQ34_spl
| ~ sQ21_spl
| p204(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f1672]) ).
fof(f6356,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| p204(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f747]) ).
fof(f6357,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f6358,plain,
( ~ sQ74_spl
| ~ sQ21_spl
| p204(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f816]) ).
fof(f6359,plain,
! [X0] :
( ~ sQ623_spl
| ~ sP4_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4490,f161]) ).
fof(f6360,plain,
! [X0] :
( ~ sQ623_spl
| ~ sP2_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4490,f151]) ).
fof(f6361,plain,
( ~ sQ622_spl
| ~ sQ623_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4487,f6359]) ).
fof(f6362,plain,
( ~ sQ625_spl
| ~ sQ623_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4498,f6360]) ).
fof(f6363,plain,
( ~ sQ622_spl
| ~ sQ623_spl ),
inference(contradiction_clause,[status(thm)],[f6361]) ).
fof(f6364,plain,
( ~ sQ625_spl
| ~ sQ623_spl ),
inference(contradiction_clause,[status(thm)],[f6362]) ).
fof(f6365,plain,
( ~ sQ15_spl
| ~ sQ39_spl
| sQ623_spl ),
inference(split_clause,[status(thm)],[f6323,f4489,f425,f236]) ).
fof(f6370,plain,
! [X0] :
( ~ sQ616_spl
| ~ sP8_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4465,f181]) ).
fof(f6371,plain,
( ~ sQ615_spl
| ~ sQ616_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4462,f6370]) ).
fof(f6372,plain,
( ~ sQ615_spl
| ~ sQ616_spl ),
inference(contradiction_clause,[status(thm)],[f6371]) ).
fof(f6373,plain,
( ~ sQ39_spl
| ~ sQ21_spl
| sQ616_spl ),
inference(split_clause,[status(thm)],[f6346,f4464,f255,f425]) ).
fof(f6383,plain,
( ~ sQ39_spl
| ~ sQ20_spl
| p205(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f426]) ).
fof(f6384,plain,
( ~ sQ45_spl
| ~ sQ20_spl
| p205(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f523]) ).
fof(f6385,plain,
( ~ sQ34_spl
| ~ sQ20_spl
| p205(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f1672]) ).
fof(f6386,plain,
( ~ sQ77_spl
| ~ sQ20_spl
| p205(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f841]) ).
fof(f6387,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| p205(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f761]) ).
fof(f6388,plain,
( ~ sQ63_spl
| ~ sQ20_spl
| p205(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f691]) ).
fof(f6389,plain,
( ~ sQ61_spl
| ~ sQ20_spl
| p205(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f683]) ).
fof(f6390,plain,
( ~ sQ49_spl
| ~ sQ20_spl
| p205(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f565]) ).
fof(f6391,plain,
( ~ sQ47_spl
| ~ sQ20_spl
| p205(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f551]) ).
fof(f6392,plain,
( ~ sQ41_spl
| ~ sQ20_spl
| p205(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f434]) ).
fof(f6393,plain,
( ~ sQ67_spl
| ~ sQ20_spl
| p205(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f747]) ).
fof(f6394,plain,
( ~ sQ59_spl
| ~ sQ20_spl
| p205(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f675]) ).
fof(f6395,plain,
( ~ sQ74_spl
| ~ sQ20_spl
| p205(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f253,f816]) ).
fof(f6397,plain,
! [X0] :
( ~ sQ614_spl
| ~ sP9_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4458,f186]) ).
fof(f6398,plain,
( ~ sQ613_spl
| ~ sQ614_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4455,f6397]) ).
fof(f6399,plain,
( ~ sQ613_spl
| ~ sQ614_spl ),
inference(contradiction_clause,[status(thm)],[f6398]) ).
fof(f6400,plain,
( ~ sQ621_spl
| sP1_prd(sK9_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f4483,f32]) ).
fof(f6401,plain,
! [X0] :
( ~ sQ621_spl
| ~ sP5_prd(sK10_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4483,f166]) ).
fof(f6402,plain,
( ~ sQ621_spl
| sQ38_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f6400,f1320,f422,f4482]) ).
fof(f6403,plain,
( ~ sQ620_spl
| ~ sQ621_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4480,f6401]) ).
fof(f6404,plain,
( ~ sQ620_spl
| ~ sQ621_spl ),
inference(contradiction_clause,[status(thm)],[f6403]) ).
fof(f6405,plain,
( ~ sQ39_spl
| ~ sQ20_spl
| sQ621_spl ),
inference(split_clause,[status(thm)],[f6383,f4482,f252,f425]) ).
fof(f6410,plain,
( ~ sQ39_spl
| ~ sQ21_spl
| p204(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f426]) ).
fof(f6411,plain,
( ~ sQ45_spl
| ~ sQ21_spl
| p204(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f523]) ).
fof(f6412,plain,
( ~ sQ34_spl
| ~ sQ21_spl
| p204(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f1672]) ).
fof(f6413,plain,
( ~ sQ77_spl
| ~ sQ21_spl
| p204(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f841]) ).
fof(f6414,plain,
( ~ sQ69_spl
| ~ sQ21_spl
| p204(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f761]) ).
fof(f6415,plain,
( ~ sQ63_spl
| ~ sQ21_spl
| p204(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f691]) ).
fof(f6420,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| p204(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f747]) ).
fof(f6421,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f6422,plain,
( ~ sQ74_spl
| ~ sQ21_spl
| p204(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f816]) ).
fof(f6423,plain,
( ~ sQ28_spl
| ~ sQ74_spl
| ~ p502(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f824,f109]) ).
fof(f6424,plain,
( ~ sQ28_spl
| ~ sQ74_spl
| ~ sQ8_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f6423,f1320,f213,f815,f277]) ).
fof(f6438,plain,
( ~ sQ316_spl
| r1(sK51_skl,sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1949,f145]) ).
fof(f6439,plain,
( ~ sQ316_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f6438,f514,f1948]) ).
fof(f6440,plain,
( ~ sQ21_spl
| ~ sQ43_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f1886,f1911,f514,f255]) ).
fof(f6441,plain,
( ~ sQ138_spl
| ~ sQ139_spl ),
inference(contradiction_clause,[status(thm)],[f2649]) ).
fof(f6442,plain,
! [X0] :
( ~ sQ632_spl
| ~ sP7_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4821,f176]) ).
fof(f6443,plain,
! [X0] :
( ~ sQ632_spl
| ~ sP6_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4821,f171]) ).
fof(f6444,plain,
( ~ sQ631_spl
| ~ sQ632_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4818,f6442]) ).
fof(f6445,plain,
( ~ sQ633_spl
| ~ sQ632_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4825,f6443]) ).
fof(f6446,plain,
( ~ sQ631_spl
| ~ sQ632_spl ),
inference(contradiction_clause,[status(thm)],[f6444]) ).
fof(f6447,plain,
( ~ sQ40_spl
| ~ sQ15_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f4595,f2505,f236,f430]) ).
fof(f6449,plain,
( ~ sQ40_spl
| ~ sQ21_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f3133,f2480,f255,f430]) ).
fof(f6450,plain,
( ~ sQ423_spl
| ~ sQ422_spl ),
inference(contradiction_clause,[status(thm)],[f6201]) ).
fof(f6451,plain,
( ~ sQ633_spl
| ~ sQ632_spl ),
inference(contradiction_clause,[status(thm)],[f6445]) ).
fof(f6453,plain,
( ~ sQ21_spl
| ~ sQ41_spl
| p204(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f434,f256]) ).
fof(f6454,plain,
( ~ sQ15_spl
| ~ sQ41_spl
| p305(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f434,f237]) ).
fof(f6475,plain,
! [X0] :
( ~ sQ630_spl
| ~ sP8_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4814,f181]) ).
fof(f6476,plain,
( ~ sQ629_spl
| ~ sQ630_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4811,f6475]) ).
fof(f6477,plain,
( ~ sQ629_spl
| ~ sQ630_spl ),
inference(contradiction_clause,[status(thm)],[f6476]) ).
fof(f6478,plain,
( ~ sQ21_spl
| ~ sQ41_spl
| sQ630_spl ),
inference(split_clause,[status(thm)],[f6453,f4813,f433,f255]) ).
fof(f6490,plain,
! [X0] :
( ~ sQ628_spl
| ~ sP9_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4807,f186]) ).
fof(f6491,plain,
( ~ sQ627_spl
| ~ sQ628_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4804,f6490]) ).
fof(f6492,plain,
( ~ sQ627_spl
| ~ sQ628_spl ),
inference(contradiction_clause,[status(thm)],[f6491]) ).
fof(f6493,plain,
( ~ sQ635_spl
| sP2_prd(sK11_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f4832,f34]) ).
fof(f6494,plain,
! [X0] :
( ~ sQ635_spl
| ~ sP5_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4832,f166]) ).
fof(f6495,plain,
( ~ sQ635_spl
| sQ40_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f6493,f1320,f430,f4831]) ).
fof(f6496,plain,
( ~ sQ634_spl
| ~ sQ635_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4829,f6494]) ).
fof(f6497,plain,
( ~ sQ634_spl
| ~ sQ635_spl ),
inference(contradiction_clause,[status(thm)],[f6496]) ).
fof(f6498,plain,
! [X0] :
( ~ sQ637_spl
| ~ sP4_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4839,f161]) ).
fof(f6499,plain,
! [X0] :
( ~ sQ637_spl
| ~ sP2_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4839,f151]) ).
fof(f6500,plain,
( ~ sQ636_spl
| ~ sQ637_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4836,f6498]) ).
fof(f6501,plain,
( ~ sQ639_spl
| ~ sQ637_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4847,f6499]) ).
fof(f6502,plain,
( ~ sQ636_spl
| ~ sQ637_spl ),
inference(contradiction_clause,[status(thm)],[f6500]) ).
fof(f6503,plain,
( ~ sQ639_spl
| ~ sQ637_spl ),
inference(contradiction_clause,[status(thm)],[f6501]) ).
fof(f6504,plain,
( ~ sQ15_spl
| ~ sQ41_spl
| sQ637_spl ),
inference(split_clause,[status(thm)],[f6454,f4838,f433,f236]) ).
fof(f6509,plain,
! [X0] :
( ~ sQ646_spl
| ~ sP7_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4930,f176]) ).
fof(f6510,plain,
! [X0] :
( ~ sQ646_spl
| ~ sP6_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4930,f171]) ).
fof(f6511,plain,
( ~ sQ645_spl
| ~ sQ646_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4927,f6509]) ).
fof(f6512,plain,
( ~ sQ647_spl
| ~ sQ646_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4934,f6510]) ).
fof(f6513,plain,
( ~ sQ645_spl
| ~ sQ646_spl ),
inference(contradiction_clause,[status(thm)],[f6511]) ).
fof(f6514,plain,
( ~ sQ647_spl
| ~ sQ646_spl ),
inference(contradiction_clause,[status(thm)],[f6512]) ).
fof(f6515,plain,
! [X0] :
( ~ sQ644_spl
| ~ sP8_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4923,f181]) ).
fof(f6516,plain,
( ~ sQ643_spl
| ~ sQ644_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4920,f6515]) ).
fof(f6517,plain,
( ~ sQ643_spl
| ~ sQ644_spl ),
inference(contradiction_clause,[status(thm)],[f6516]) ).
fof(f6518,plain,
( ~ sQ45_spl
| ~ sQ21_spl
| sQ644_spl ),
inference(split_clause,[status(thm)],[f6411,f4922,f255,f522]) ).
fof(f6523,plain,
! [X0] :
( ~ sQ642_spl
| ~ sP9_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4916,f186]) ).
fof(f6524,plain,
( ~ sQ641_spl
| ~ sQ642_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4913,f6523]) ).
fof(f6525,plain,
( ~ sQ641_spl
| ~ sQ642_spl ),
inference(contradiction_clause,[status(thm)],[f6524]) ).
fof(f6526,plain,
( ~ sQ126_spl
| r1(sK51_skl,sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1075,f140]) ).
fof(f6527,plain,
( ~ sQ27_spl
| ~ sQ126_spl
| p103(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6526,f275]) ).
fof(f6528,plain,
( ~ sQ21_spl
| ~ sQ126_spl
| p204(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6526,f256]) ).
fof(f6529,plain,
( ~ sQ15_spl
| ~ sQ126_spl
| p305(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6526,f237]) ).
fof(f6530,plain,
( ~ sQ126_spl
| p203(sK23_skl(sK51_skl))
| sP9_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6526,f187]) ).
fof(f6531,plain,
( ~ sQ126_spl
| p204(sK23_skl(sK51_skl))
| sP8_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6526,f182]) ).
fof(f6532,plain,
( ~ sQ126_spl
| p304(sK23_skl(sK51_skl))
| sP7_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6526,f177]) ).
fof(f6533,plain,
( ~ sQ126_spl
| p304(sK23_skl(sK51_skl))
| sP6_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6526,f172]) ).
fof(f6534,plain,
( ~ sQ126_spl
| p205(sK23_skl(sK51_skl))
| sP5_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6526,f167]) ).
fof(f6535,plain,
( ~ sQ126_spl
| p305(sK23_skl(sK51_skl))
| sP4_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6526,f162]) ).
fof(f6536,plain,
( ~ sQ126_spl
| p405(sK23_skl(sK51_skl))
| sP3_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6526,f157]) ).
fof(f6537,plain,
( ~ sQ126_spl
| p305(sK23_skl(sK51_skl))
| sP2_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6526,f152]) ).
fof(f6538,plain,
( ~ sQ126_spl
| p405(sK23_skl(sK51_skl))
| sP1_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6526,f147]) ).
fof(f6540,definition,
( sQ739_spl
<=> sP9_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ739_spl])],[split_symbol_definition]) ).
fof(f6541,plain,
( ~ sQ739_spl
| sP9_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6540]) ).
fof(f6543,definition,
( sQ740_spl
<=> p203(sK23_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ740_spl])],[split_symbol_definition]) ).
fof(f6544,plain,
( ~ sQ740_spl
| p203(sK23_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6543]) ).
fof(f6546,plain,
( ~ sQ126_spl
| sQ740_spl
| sQ739_spl ),
inference(split_clause,[status(thm)],[f6530,f6540,f6543,f1074]) ).
fof(f6547,definition,
( sQ741_spl
<=> sP8_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ741_spl])],[split_symbol_definition]) ).
fof(f6548,plain,
( ~ sQ741_spl
| sP8_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6547]) ).
fof(f6550,definition,
( sQ742_spl
<=> p204(sK23_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ742_spl])],[split_symbol_definition]) ).
fof(f6551,plain,
( ~ sQ742_spl
| p204(sK23_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6550]) ).
fof(f6553,plain,
( ~ sQ126_spl
| sQ742_spl
| sQ741_spl ),
inference(split_clause,[status(thm)],[f6531,f6547,f6550,f1074]) ).
fof(f6554,definition,
( sQ743_spl
<=> sP7_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ743_spl])],[split_symbol_definition]) ).
fof(f6555,plain,
( ~ sQ743_spl
| sP7_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6554]) ).
fof(f6557,definition,
( sQ744_spl
<=> p304(sK23_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ744_spl])],[split_symbol_definition]) ).
fof(f6558,plain,
( ~ sQ744_spl
| p304(sK23_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6557]) ).
fof(f6560,plain,
( ~ sQ126_spl
| sQ744_spl
| sQ743_spl ),
inference(split_clause,[status(thm)],[f6532,f6554,f6557,f1074]) ).
fof(f6561,definition,
( sQ745_spl
<=> sP6_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ745_spl])],[split_symbol_definition]) ).
fof(f6562,plain,
( ~ sQ745_spl
| sP6_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6561]) ).
fof(f6564,plain,
( ~ sQ126_spl
| sQ744_spl
| sQ745_spl ),
inference(split_clause,[status(thm)],[f6533,f6561,f6557,f1074]) ).
fof(f6565,definition,
( sQ746_spl
<=> sP5_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ746_spl])],[split_symbol_definition]) ).
fof(f6566,plain,
( ~ sQ746_spl
| sP5_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6565]) ).
fof(f6568,definition,
( sQ747_spl
<=> p205(sK23_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ747_spl])],[split_symbol_definition]) ).
fof(f6569,plain,
( ~ sQ747_spl
| p205(sK23_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6568]) ).
fof(f6571,plain,
( ~ sQ126_spl
| sQ747_spl
| sQ746_spl ),
inference(split_clause,[status(thm)],[f6534,f6565,f6568,f1074]) ).
fof(f6572,definition,
( sQ748_spl
<=> sP4_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ748_spl])],[split_symbol_definition]) ).
fof(f6573,plain,
( ~ sQ748_spl
| sP4_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6572]) ).
fof(f6575,definition,
( sQ749_spl
<=> p305(sK23_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ749_spl])],[split_symbol_definition]) ).
fof(f6576,plain,
( ~ sQ749_spl
| p305(sK23_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6575]) ).
fof(f6578,plain,
( ~ sQ126_spl
| sQ749_spl
| sQ748_spl ),
inference(split_clause,[status(thm)],[f6535,f6572,f6575,f1074]) ).
fof(f6579,definition,
( sQ750_spl
<=> sP3_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ750_spl])],[split_symbol_definition]) ).
fof(f6580,plain,
( ~ sQ750_spl
| sP3_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6579]) ).
fof(f6581,plain,
( sQ750_spl
| ~ sP3_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6579]) ).
fof(f6582,plain,
( ~ sQ126_spl
| sQ127_spl
| sQ750_spl ),
inference(split_clause,[status(thm)],[f6536,f6579,f1077,f1074]) ).
fof(f6583,definition,
( sQ751_spl
<=> sP2_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ751_spl])],[split_symbol_definition]) ).
fof(f6584,plain,
( ~ sQ751_spl
| sP2_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6583]) ).
fof(f6586,plain,
( ~ sQ126_spl
| sQ749_spl
| sQ751_spl ),
inference(split_clause,[status(thm)],[f6537,f6583,f6575,f1074]) ).
fof(f6587,definition,
( sQ752_spl
<=> sP1_prd(sK23_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ752_spl])],[split_symbol_definition]) ).
fof(f6588,plain,
( ~ sQ752_spl
| sP1_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6587]) ).
fof(f6589,plain,
( sQ752_spl
| ~ sP1_prd(sK23_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6587]) ).
fof(f6590,plain,
( ~ sQ126_spl
| sQ127_spl
| sQ752_spl ),
inference(split_clause,[status(thm)],[f6538,f6587,f1077,f1074]) ).
fof(f6592,plain,
( ~ sQ750_spl
| ~ sQ127_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6580,f3213]) ).
fof(f6593,plain,
( ~ sQ752_spl
| ~ sQ127_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6588,f3214]) ).
fof(f6594,plain,
( ~ sQ750_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6592]) ).
fof(f6596,plain,
( ~ sQ21_spl
| ~ sQ126_spl
| p204(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6526,f256]) ).
fof(f6597,plain,
( ~ sQ15_spl
| ~ sQ126_spl
| p305(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6526,f237]) ).
fof(f6618,plain,
( ~ sQ752_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6593]) ).
fof(f6620,plain,
( ~ sQ21_spl
| ~ sQ126_spl
| p204(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6526,f256]) ).
fof(f6621,plain,
( ~ sQ15_spl
| ~ sQ126_spl
| p305(sK23_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6526,f237]) ).
fof(f6642,plain,
! [X0] :
( ~ sQ649_spl
| ~ sP5_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4941,f166]) ).
fof(f6643,plain,
( ~ sQ648_spl
| ~ sQ649_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4938,f6642]) ).
fof(f6644,plain,
( ~ sQ648_spl
| ~ sQ649_spl ),
inference(contradiction_clause,[status(thm)],[f6643]) ).
fof(f6645,plain,
! [X0] :
( ~ sQ651_spl
| ~ sP4_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4948,f161]) ).
fof(f6646,plain,
! [X0] :
( ~ sQ651_spl
| ~ sP2_prd(sK16_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f4948,f151]) ).
fof(f6647,plain,
( ~ sQ650_spl
| ~ sQ651_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4945,f6645]) ).
fof(f6648,plain,
( ~ sQ653_spl
| ~ sQ651_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4956,f6646]) ).
fof(f6649,plain,
( ~ sQ650_spl
| ~ sQ651_spl ),
inference(contradiction_clause,[status(thm)],[f6647]) ).
fof(f6650,plain,
( ~ sQ653_spl
| ~ sQ651_spl ),
inference(contradiction_clause,[status(thm)],[f6648]) ).
fof(f6651,plain,
( ~ sQ45_spl
| ~ sQ15_spl
| sQ651_spl ),
inference(split_clause,[status(thm)],[f6268,f4947,f236,f522]) ).
fof(f6657,plain,
( ~ sQ120_spl
| r1(sK51_skl,sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1054,f140]) ).
fof(f6658,plain,
( ~ sQ27_spl
| ~ sQ120_spl
| p103(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6657,f275]) ).
fof(f6659,plain,
( ~ sQ21_spl
| ~ sQ120_spl
| p204(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6657,f256]) ).
fof(f6660,plain,
( ~ sQ15_spl
| ~ sQ120_spl
| p305(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6657,f237]) ).
fof(f6661,plain,
( ~ sQ120_spl
| p203(sK26_skl(sK51_skl))
| sP9_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6657,f187]) ).
fof(f6662,plain,
( ~ sQ120_spl
| p204(sK26_skl(sK51_skl))
| sP8_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6657,f182]) ).
fof(f6663,plain,
( ~ sQ120_spl
| p304(sK26_skl(sK51_skl))
| sP7_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6657,f177]) ).
fof(f6664,plain,
( ~ sQ120_spl
| p304(sK26_skl(sK51_skl))
| sP6_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6657,f172]) ).
fof(f6665,plain,
( ~ sQ120_spl
| p205(sK26_skl(sK51_skl))
| sP5_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6657,f167]) ).
fof(f6666,plain,
( ~ sQ120_spl
| p305(sK26_skl(sK51_skl))
| sP4_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6657,f162]) ).
fof(f6667,plain,
( ~ sQ120_spl
| p405(sK26_skl(sK51_skl))
| sP3_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6657,f157]) ).
fof(f6668,plain,
( ~ sQ120_spl
| p305(sK26_skl(sK51_skl))
| sP2_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6657,f152]) ).
fof(f6669,plain,
( ~ sQ120_spl
| p405(sK26_skl(sK51_skl))
| sP1_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6657,f147]) ).
fof(f6671,definition,
( sQ753_spl
<=> sP9_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ753_spl])],[split_symbol_definition]) ).
fof(f6672,plain,
( ~ sQ753_spl
| sP9_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6671]) ).
fof(f6674,definition,
( sQ754_spl
<=> p203(sK26_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ754_spl])],[split_symbol_definition]) ).
fof(f6675,plain,
( ~ sQ754_spl
| p203(sK26_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6674]) ).
fof(f6677,plain,
( ~ sQ120_spl
| sQ754_spl
| sQ753_spl ),
inference(split_clause,[status(thm)],[f6661,f6671,f6674,f1053]) ).
fof(f6678,definition,
( sQ755_spl
<=> sP8_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ755_spl])],[split_symbol_definition]) ).
fof(f6679,plain,
( ~ sQ755_spl
| sP8_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6678]) ).
fof(f6681,definition,
( sQ756_spl
<=> p204(sK26_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ756_spl])],[split_symbol_definition]) ).
fof(f6682,plain,
( ~ sQ756_spl
| p204(sK26_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6681]) ).
fof(f6684,plain,
( ~ sQ120_spl
| sQ756_spl
| sQ755_spl ),
inference(split_clause,[status(thm)],[f6662,f6678,f6681,f1053]) ).
fof(f6685,definition,
( sQ757_spl
<=> sP7_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ757_spl])],[split_symbol_definition]) ).
fof(f6686,plain,
( ~ sQ757_spl
| sP7_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6685]) ).
fof(f6688,definition,
( sQ758_spl
<=> p304(sK26_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ758_spl])],[split_symbol_definition]) ).
fof(f6689,plain,
( ~ sQ758_spl
| p304(sK26_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6688]) ).
fof(f6691,plain,
( ~ sQ120_spl
| sQ758_spl
| sQ757_spl ),
inference(split_clause,[status(thm)],[f6663,f6685,f6688,f1053]) ).
fof(f6692,definition,
( sQ759_spl
<=> sP6_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ759_spl])],[split_symbol_definition]) ).
fof(f6693,plain,
( ~ sQ759_spl
| sP6_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6692]) ).
fof(f6695,plain,
( ~ sQ120_spl
| sQ758_spl
| sQ759_spl ),
inference(split_clause,[status(thm)],[f6664,f6692,f6688,f1053]) ).
fof(f6696,definition,
( sQ760_spl
<=> sP5_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ760_spl])],[split_symbol_definition]) ).
fof(f6697,plain,
( ~ sQ760_spl
| sP5_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6696]) ).
fof(f6699,definition,
( sQ761_spl
<=> p205(sK26_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ761_spl])],[split_symbol_definition]) ).
fof(f6700,plain,
( ~ sQ761_spl
| p205(sK26_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6699]) ).
fof(f6702,plain,
( ~ sQ120_spl
| sQ761_spl
| sQ760_spl ),
inference(split_clause,[status(thm)],[f6665,f6696,f6699,f1053]) ).
fof(f6703,definition,
( sQ762_spl
<=> sP4_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ762_spl])],[split_symbol_definition]) ).
fof(f6704,plain,
( ~ sQ762_spl
| sP4_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6703]) ).
fof(f6706,definition,
( sQ763_spl
<=> p305(sK26_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ763_spl])],[split_symbol_definition]) ).
fof(f6707,plain,
( ~ sQ763_spl
| p305(sK26_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6706]) ).
fof(f6709,plain,
( ~ sQ120_spl
| sQ763_spl
| sQ762_spl ),
inference(split_clause,[status(thm)],[f6666,f6703,f6706,f1053]) ).
fof(f6710,definition,
( sQ764_spl
<=> sP3_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ764_spl])],[split_symbol_definition]) ).
fof(f6711,plain,
( ~ sQ764_spl
| sP3_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6710]) ).
fof(f6712,plain,
( sQ764_spl
| ~ sP3_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6710]) ).
fof(f6713,plain,
( ~ sQ120_spl
| sQ121_spl
| sQ764_spl ),
inference(split_clause,[status(thm)],[f6667,f6710,f1056,f1053]) ).
fof(f6714,definition,
( sQ765_spl
<=> sP2_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ765_spl])],[split_symbol_definition]) ).
fof(f6715,plain,
( ~ sQ765_spl
| sP2_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6714]) ).
fof(f6717,plain,
( ~ sQ120_spl
| sQ763_spl
| sQ765_spl ),
inference(split_clause,[status(thm)],[f6668,f6714,f6706,f1053]) ).
fof(f6718,definition,
( sQ766_spl
<=> sP1_prd(sK26_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ766_spl])],[split_symbol_definition]) ).
fof(f6719,plain,
( ~ sQ766_spl
| sP1_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6718]) ).
fof(f6720,plain,
( sQ766_spl
| ~ sP1_prd(sK26_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6718]) ).
fof(f6721,plain,
( ~ sQ120_spl
| sQ121_spl
| sQ766_spl ),
inference(split_clause,[status(thm)],[f6669,f6718,f1056,f1053]) ).
fof(f6723,plain,
( ~ sQ764_spl
| ~ sQ121_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6711,f3232]) ).
fof(f6724,plain,
( ~ sQ766_spl
| ~ sQ121_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6719,f3233]) ).
fof(f6725,plain,
( ~ sQ764_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f6723]) ).
fof(f6727,plain,
( ~ sQ21_spl
| ~ sQ120_spl
| p204(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6657,f256]) ).
fof(f6728,plain,
( ~ sQ15_spl
| ~ sQ120_spl
| p305(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6657,f237]) ).
fof(f6749,plain,
( ~ sQ766_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f6724]) ).
fof(f6751,plain,
( ~ sQ21_spl
| ~ sQ120_spl
| p204(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6657,f256]) ).
fof(f6752,plain,
( ~ sQ15_spl
| ~ sQ120_spl
| p305(sK26_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6657,f237]) ).
fof(f6773,plain,
! [X0] :
( ~ sQ660_spl
| ~ sP7_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5113,f176]) ).
fof(f6774,plain,
! [X0] :
( ~ sQ660_spl
| ~ sP6_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5113,f171]) ).
fof(f6775,plain,
( ~ sQ659_spl
| ~ sQ660_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5110,f6773]) ).
fof(f6776,plain,
( ~ sQ661_spl
| ~ sQ660_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5117,f6774]) ).
fof(f6777,plain,
( ~ sQ659_spl
| ~ sQ660_spl ),
inference(contradiction_clause,[status(thm)],[f6775]) ).
fof(f6778,plain,
( ~ sQ46_spl
| ~ sQ15_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f4593,f2710,f236,f547]) ).
fof(f6780,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f3131,f2688,f255,f547]) ).
fof(f6781,plain,
( ~ sQ453_spl
| ~ sQ452_spl ),
inference(contradiction_clause,[status(thm)],[f6167]) ).
fof(f6782,plain,
( ~ sQ661_spl
| ~ sQ660_spl ),
inference(contradiction_clause,[status(thm)],[f6776]) ).
fof(f6784,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| p204(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f551,f256]) ).
fof(f6785,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| p305(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f551,f237]) ).
fof(f6806,plain,
! [X0] :
( ~ sQ658_spl
| ~ sP8_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5106,f181]) ).
fof(f6807,plain,
( ~ sQ657_spl
| ~ sQ658_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5103,f6806]) ).
fof(f6808,plain,
( ~ sQ657_spl
| ~ sQ658_spl ),
inference(contradiction_clause,[status(thm)],[f6807]) ).
fof(f6809,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| sQ658_spl ),
inference(split_clause,[status(thm)],[f6784,f5105,f550,f255]) ).
fof(f6820,plain,
! [X0] :
( ~ sQ656_spl
| ~ sP9_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5099,f186]) ).
fof(f6821,plain,
( ~ sQ655_spl
| ~ sQ656_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5096,f6820]) ).
fof(f6822,plain,
( ~ sQ655_spl
| ~ sQ656_spl ),
inference(contradiction_clause,[status(thm)],[f6821]) ).
fof(f6823,plain,
! [X0] :
( ~ sQ663_spl
| ~ sP5_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5124,f166]) ).
fof(f6824,plain,
( ~ sQ662_spl
| ~ sQ663_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5121,f6823]) ).
fof(f6825,plain,
( ~ sQ662_spl
| ~ sQ663_spl ),
inference(contradiction_clause,[status(thm)],[f6824]) ).
fof(f6826,plain,
! [X0] :
( ~ sQ665_spl
| ~ sP4_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5131,f161]) ).
fof(f6827,plain,
! [X0] :
( ~ sQ665_spl
| ~ sP2_prd(sK18_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5131,f151]) ).
fof(f6828,plain,
( ~ sQ664_spl
| ~ sQ665_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5128,f6826]) ).
fof(f6829,plain,
( ~ sQ667_spl
| ~ sQ665_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5139,f6827]) ).
fof(f6830,plain,
( ~ sQ664_spl
| ~ sQ665_spl ),
inference(contradiction_clause,[status(thm)],[f6828]) ).
fof(f6831,plain,
( ~ sQ667_spl
| ~ sQ665_spl ),
inference(contradiction_clause,[status(thm)],[f6829]) ).
fof(f6832,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| sQ665_spl ),
inference(split_clause,[status(thm)],[f6785,f5130,f550,f236]) ).
fof(f6837,plain,
( ~ sQ114_spl
| r1(sK51_skl,sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1033,f140]) ).
fof(f6838,plain,
( ~ sQ27_spl
| ~ sQ114_spl
| p103(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6837,f275]) ).
fof(f6839,plain,
( ~ sQ21_spl
| ~ sQ114_spl
| p204(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6837,f256]) ).
fof(f6840,plain,
( ~ sQ15_spl
| ~ sQ114_spl
| p305(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6837,f237]) ).
fof(f6841,plain,
( ~ sQ114_spl
| p203(sK31_skl(sK51_skl))
| sP9_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6837,f187]) ).
fof(f6842,plain,
( ~ sQ114_spl
| p204(sK31_skl(sK51_skl))
| sP8_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6837,f182]) ).
fof(f6843,plain,
( ~ sQ114_spl
| p304(sK31_skl(sK51_skl))
| sP7_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6837,f177]) ).
fof(f6844,plain,
( ~ sQ114_spl
| p304(sK31_skl(sK51_skl))
| sP6_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6837,f172]) ).
fof(f6845,plain,
( ~ sQ114_spl
| p205(sK31_skl(sK51_skl))
| sP5_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6837,f167]) ).
fof(f6846,plain,
( ~ sQ114_spl
| p305(sK31_skl(sK51_skl))
| sP4_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6837,f162]) ).
fof(f6847,plain,
( ~ sQ114_spl
| p405(sK31_skl(sK51_skl))
| sP3_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6837,f157]) ).
fof(f6848,plain,
( ~ sQ114_spl
| p305(sK31_skl(sK51_skl))
| sP2_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6837,f152]) ).
fof(f6849,plain,
( ~ sQ114_spl
| p405(sK31_skl(sK51_skl))
| sP1_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f6837,f147]) ).
fof(f6851,definition,
( sQ767_spl
<=> sP9_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ767_spl])],[split_symbol_definition]) ).
fof(f6852,plain,
( ~ sQ767_spl
| sP9_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6851]) ).
fof(f6854,definition,
( sQ768_spl
<=> p203(sK31_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ768_spl])],[split_symbol_definition]) ).
fof(f6855,plain,
( ~ sQ768_spl
| p203(sK31_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6854]) ).
fof(f6857,plain,
( ~ sQ114_spl
| sQ768_spl
| sQ767_spl ),
inference(split_clause,[status(thm)],[f6841,f6851,f6854,f1032]) ).
fof(f6858,definition,
( sQ769_spl
<=> sP8_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ769_spl])],[split_symbol_definition]) ).
fof(f6859,plain,
( ~ sQ769_spl
| sP8_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6858]) ).
fof(f6861,definition,
( sQ770_spl
<=> p204(sK31_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ770_spl])],[split_symbol_definition]) ).
fof(f6862,plain,
( ~ sQ770_spl
| p204(sK31_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6861]) ).
fof(f6864,plain,
( ~ sQ114_spl
| sQ770_spl
| sQ769_spl ),
inference(split_clause,[status(thm)],[f6842,f6858,f6861,f1032]) ).
fof(f6865,definition,
( sQ771_spl
<=> sP7_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ771_spl])],[split_symbol_definition]) ).
fof(f6866,plain,
( ~ sQ771_spl
| sP7_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6865]) ).
fof(f6868,definition,
( sQ772_spl
<=> p304(sK31_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ772_spl])],[split_symbol_definition]) ).
fof(f6869,plain,
( ~ sQ772_spl
| p304(sK31_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6868]) ).
fof(f6871,plain,
( ~ sQ114_spl
| sQ772_spl
| sQ771_spl ),
inference(split_clause,[status(thm)],[f6843,f6865,f6868,f1032]) ).
fof(f6872,definition,
( sQ773_spl
<=> sP6_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ773_spl])],[split_symbol_definition]) ).
fof(f6873,plain,
( ~ sQ773_spl
| sP6_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6872]) ).
fof(f6875,plain,
( ~ sQ114_spl
| sQ772_spl
| sQ773_spl ),
inference(split_clause,[status(thm)],[f6844,f6872,f6868,f1032]) ).
fof(f6876,definition,
( sQ774_spl
<=> sP5_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ774_spl])],[split_symbol_definition]) ).
fof(f6877,plain,
( ~ sQ774_spl
| sP5_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6876]) ).
fof(f6879,definition,
( sQ775_spl
<=> p205(sK31_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ775_spl])],[split_symbol_definition]) ).
fof(f6880,plain,
( ~ sQ775_spl
| p205(sK31_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6879]) ).
fof(f6882,plain,
( ~ sQ114_spl
| sQ775_spl
| sQ774_spl ),
inference(split_clause,[status(thm)],[f6845,f6876,f6879,f1032]) ).
fof(f6883,definition,
( sQ776_spl
<=> sP4_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ776_spl])],[split_symbol_definition]) ).
fof(f6884,plain,
( ~ sQ776_spl
| sP4_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6883]) ).
fof(f6886,definition,
( sQ777_spl
<=> p305(sK31_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ777_spl])],[split_symbol_definition]) ).
fof(f6887,plain,
( ~ sQ777_spl
| p305(sK31_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f6886]) ).
fof(f6889,plain,
( ~ sQ114_spl
| sQ777_spl
| sQ776_spl ),
inference(split_clause,[status(thm)],[f6846,f6883,f6886,f1032]) ).
fof(f6890,definition,
( sQ778_spl
<=> sP3_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ778_spl])],[split_symbol_definition]) ).
fof(f6891,plain,
( ~ sQ778_spl
| sP3_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6890]) ).
fof(f6892,plain,
( sQ778_spl
| ~ sP3_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6890]) ).
fof(f6893,plain,
( ~ sQ114_spl
| sQ115_spl
| sQ778_spl ),
inference(split_clause,[status(thm)],[f6847,f6890,f1035,f1032]) ).
fof(f6894,definition,
( sQ779_spl
<=> sP2_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ779_spl])],[split_symbol_definition]) ).
fof(f6895,plain,
( ~ sQ779_spl
| sP2_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6894]) ).
fof(f6897,plain,
( ~ sQ114_spl
| sQ777_spl
| sQ779_spl ),
inference(split_clause,[status(thm)],[f6848,f6894,f6886,f1032]) ).
fof(f6898,definition,
( sQ780_spl
<=> sP1_prd(sK31_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ780_spl])],[split_symbol_definition]) ).
fof(f6899,plain,
( ~ sQ780_spl
| sP1_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6898]) ).
fof(f6900,plain,
( sQ780_spl
| ~ sP1_prd(sK31_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f6898]) ).
fof(f6901,plain,
( ~ sQ114_spl
| sQ115_spl
| sQ780_spl ),
inference(split_clause,[status(thm)],[f6849,f6898,f1035,f1032]) ).
fof(f6903,plain,
( ~ sQ778_spl
| ~ sQ115_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6891,f3251]) ).
fof(f6904,plain,
( ~ sQ780_spl
| ~ sQ115_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6899,f3252]) ).
fof(f6905,plain,
( ~ sQ778_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f6903]) ).
fof(f6907,plain,
( ~ sQ21_spl
| ~ sQ114_spl
| p204(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6837,f256]) ).
fof(f6908,plain,
( ~ sQ15_spl
| ~ sQ114_spl
| p305(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6837,f237]) ).
fof(f6929,plain,
( ~ sQ780_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f6904]) ).
fof(f6931,plain,
( ~ sQ21_spl
| ~ sQ114_spl
| p204(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6837,f256]) ).
fof(f6932,plain,
( ~ sQ15_spl
| ~ sQ114_spl
| p305(sK31_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f6837,f237]) ).
fof(f6953,plain,
! [X0] :
( ~ sQ674_spl
| ~ sP7_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5224,f176]) ).
fof(f6954,plain,
! [X0] :
( ~ sQ674_spl
| ~ sP6_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5224,f171]) ).
fof(f6955,plain,
( ~ sQ673_spl
| ~ sQ674_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5221,f6953]) ).
fof(f6956,plain,
( ~ sQ675_spl
| ~ sQ674_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5228,f6954]) ).
fof(f6957,plain,
( ~ sQ673_spl
| ~ sQ674_spl ),
inference(contradiction_clause,[status(thm)],[f6955]) ).
fof(f6958,plain,
( ~ sQ48_spl
| ~ sQ21_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f3130,f2757,f255,f561]) ).
fof(f6959,plain,
( ~ sQ468_spl
| ~ sQ467_spl ),
inference(contradiction_clause,[status(thm)],[f6162]) ).
fof(f6960,plain,
( ~ sQ675_spl
| ~ sQ674_spl ),
inference(contradiction_clause,[status(thm)],[f6956]) ).
fof(f6961,plain,
( ~ sQ474_spl
| ~ sQ471_spl ),
inference(contradiction_clause,[status(thm)],[f5290]) ).
fof(f6963,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| p204(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f256]) ).
fof(f6985,plain,
! [X0] :
( ~ sQ672_spl
| ~ sP8_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5217,f181]) ).
fof(f6986,plain,
( ~ sQ671_spl
| ~ sQ672_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5214,f6985]) ).
fof(f6987,plain,
( ~ sQ671_spl
| ~ sQ672_spl ),
inference(contradiction_clause,[status(thm)],[f6986]) ).
fof(f6988,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| sQ471_spl ),
inference(split_clause,[status(thm)],[f4592,f2779,f236,f561]) ).
fof(f6989,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| sQ672_spl ),
inference(split_clause,[status(thm)],[f6963,f5216,f564,f255]) ).
fof(f7001,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| p204(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f256]) ).
fof(f7002,plain,
( ~ sQ15_spl
| ~ sQ49_spl
| p305(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f565,f237]) ).
fof(f7023,plain,
! [X0] :
( ~ sQ670_spl
| ~ sP9_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5210,f186]) ).
fof(f7024,plain,
( ~ sQ669_spl
| ~ sQ670_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5207,f7023]) ).
fof(f7025,plain,
( ~ sQ669_spl
| ~ sQ670_spl ),
inference(contradiction_clause,[status(thm)],[f7024]) ).
fof(f7026,plain,
! [X0] :
( ~ sQ677_spl
| ~ sP5_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5235,f166]) ).
fof(f7027,plain,
( ~ sQ676_spl
| ~ sQ677_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5232,f7026]) ).
fof(f7028,plain,
( ~ sQ676_spl
| ~ sQ677_spl ),
inference(contradiction_clause,[status(thm)],[f7027]) ).
fof(f7029,plain,
! [X0] :
( ~ sQ679_spl
| ~ sP4_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5242,f161]) ).
fof(f7030,plain,
! [X0] :
( ~ sQ679_spl
| ~ sP2_prd(sK20_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5242,f151]) ).
fof(f7031,plain,
( ~ sQ678_spl
| ~ sQ679_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5239,f7029]) ).
fof(f7032,plain,
( ~ sQ681_spl
| ~ sQ679_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5250,f7030]) ).
fof(f7033,plain,
( ~ sQ678_spl
| ~ sQ679_spl ),
inference(contradiction_clause,[status(thm)],[f7031]) ).
fof(f7034,plain,
( ~ sQ681_spl
| ~ sQ679_spl ),
inference(contradiction_clause,[status(thm)],[f7032]) ).
fof(f7035,plain,
( ~ sQ15_spl
| ~ sQ49_spl
| sQ679_spl ),
inference(split_clause,[status(thm)],[f7002,f5241,f564,f236]) ).
fof(f7041,plain,
( ~ sQ104_spl
| r1(sK51_skl,sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f998,f140]) ).
fof(f7042,plain,
( ~ sQ102_spl
| r1(sK51_skl,sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f991,f140]) ).
fof(f7043,plain,
( ~ sQ27_spl
| ~ sQ104_spl
| p103(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7041,f275]) ).
fof(f7044,plain,
( ~ sQ21_spl
| ~ sQ104_spl
| p204(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7041,f256]) ).
fof(f7045,plain,
( ~ sQ15_spl
| ~ sQ104_spl
| p305(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7041,f237]) ).
fof(f7046,plain,
( ~ sQ104_spl
| p203(sK38_skl(sK51_skl))
| sP9_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7041,f187]) ).
fof(f7047,plain,
( ~ sQ104_spl
| p204(sK38_skl(sK51_skl))
| sP8_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7041,f182]) ).
fof(f7048,plain,
( ~ sQ104_spl
| p304(sK38_skl(sK51_skl))
| sP7_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7041,f177]) ).
fof(f7049,plain,
( ~ sQ104_spl
| p304(sK38_skl(sK51_skl))
| sP6_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7041,f172]) ).
fof(f7050,plain,
( ~ sQ104_spl
| p205(sK38_skl(sK51_skl))
| sP5_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7041,f167]) ).
fof(f7051,plain,
( ~ sQ104_spl
| p305(sK38_skl(sK51_skl))
| sP4_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7041,f162]) ).
fof(f7052,plain,
( ~ sQ104_spl
| p405(sK38_skl(sK51_skl))
| sP3_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7041,f157]) ).
fof(f7053,plain,
( ~ sQ104_spl
| p305(sK38_skl(sK51_skl))
| sP2_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7041,f152]) ).
fof(f7054,plain,
( ~ sQ104_spl
| p405(sK38_skl(sK51_skl))
| sP1_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7041,f147]) ).
fof(f7056,definition,
( sQ781_spl
<=> sP9_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ781_spl])],[split_symbol_definition]) ).
fof(f7057,plain,
( ~ sQ781_spl
| sP9_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7056]) ).
fof(f7059,definition,
( sQ782_spl
<=> p203(sK38_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ782_spl])],[split_symbol_definition]) ).
fof(f7060,plain,
( ~ sQ782_spl
| p203(sK38_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7059]) ).
fof(f7062,plain,
( ~ sQ104_spl
| sQ782_spl
| sQ781_spl ),
inference(split_clause,[status(thm)],[f7046,f7056,f7059,f997]) ).
fof(f7063,definition,
( sQ783_spl
<=> sP8_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ783_spl])],[split_symbol_definition]) ).
fof(f7064,plain,
( ~ sQ783_spl
| sP8_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7063]) ).
fof(f7066,definition,
( sQ784_spl
<=> p204(sK38_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ784_spl])],[split_symbol_definition]) ).
fof(f7067,plain,
( ~ sQ784_spl
| p204(sK38_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7066]) ).
fof(f7069,plain,
( ~ sQ104_spl
| sQ784_spl
| sQ783_spl ),
inference(split_clause,[status(thm)],[f7047,f7063,f7066,f997]) ).
fof(f7070,definition,
( sQ785_spl
<=> sP7_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ785_spl])],[split_symbol_definition]) ).
fof(f7071,plain,
( ~ sQ785_spl
| sP7_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7070]) ).
fof(f7073,definition,
( sQ786_spl
<=> p304(sK38_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ786_spl])],[split_symbol_definition]) ).
fof(f7074,plain,
( ~ sQ786_spl
| p304(sK38_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7073]) ).
fof(f7076,plain,
( ~ sQ104_spl
| sQ786_spl
| sQ785_spl ),
inference(split_clause,[status(thm)],[f7048,f7070,f7073,f997]) ).
fof(f7077,definition,
( sQ787_spl
<=> sP6_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ787_spl])],[split_symbol_definition]) ).
fof(f7078,plain,
( ~ sQ787_spl
| sP6_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7077]) ).
fof(f7080,plain,
( ~ sQ104_spl
| sQ786_spl
| sQ787_spl ),
inference(split_clause,[status(thm)],[f7049,f7077,f7073,f997]) ).
fof(f7081,definition,
( sQ788_spl
<=> sP5_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ788_spl])],[split_symbol_definition]) ).
fof(f7082,plain,
( ~ sQ788_spl
| sP5_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7081]) ).
fof(f7084,definition,
( sQ789_spl
<=> p205(sK38_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ789_spl])],[split_symbol_definition]) ).
fof(f7085,plain,
( ~ sQ789_spl
| p205(sK38_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7084]) ).
fof(f7087,plain,
( ~ sQ104_spl
| sQ789_spl
| sQ788_spl ),
inference(split_clause,[status(thm)],[f7050,f7081,f7084,f997]) ).
fof(f7088,definition,
( sQ790_spl
<=> sP4_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ790_spl])],[split_symbol_definition]) ).
fof(f7089,plain,
( ~ sQ790_spl
| sP4_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7088]) ).
fof(f7091,definition,
( sQ791_spl
<=> p305(sK38_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ791_spl])],[split_symbol_definition]) ).
fof(f7092,plain,
( ~ sQ791_spl
| p305(sK38_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7091]) ).
fof(f7094,plain,
( ~ sQ104_spl
| sQ791_spl
| sQ790_spl ),
inference(split_clause,[status(thm)],[f7051,f7088,f7091,f997]) ).
fof(f7095,definition,
( sQ792_spl
<=> sP3_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ792_spl])],[split_symbol_definition]) ).
fof(f7096,plain,
( ~ sQ792_spl
| sP3_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7095]) ).
fof(f7097,plain,
( sQ792_spl
| ~ sP3_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7095]) ).
fof(f7098,plain,
( ~ sQ104_spl
| sQ105_spl
| sQ792_spl ),
inference(split_clause,[status(thm)],[f7052,f7095,f1000,f997]) ).
fof(f7099,definition,
( sQ793_spl
<=> sP2_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ793_spl])],[split_symbol_definition]) ).
fof(f7100,plain,
( ~ sQ793_spl
| sP2_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7099]) ).
fof(f7102,plain,
( ~ sQ104_spl
| sQ791_spl
| sQ793_spl ),
inference(split_clause,[status(thm)],[f7053,f7099,f7091,f997]) ).
fof(f7103,definition,
( sQ794_spl
<=> sP1_prd(sK38_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ794_spl])],[split_symbol_definition]) ).
fof(f7104,plain,
( ~ sQ794_spl
| sP1_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7103]) ).
fof(f7105,plain,
( sQ794_spl
| ~ sP1_prd(sK38_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7103]) ).
fof(f7106,plain,
( ~ sQ104_spl
| sQ105_spl
| sQ794_spl ),
inference(split_clause,[status(thm)],[f7054,f7103,f1000,f997]) ).
fof(f7108,plain,
( ~ sQ792_spl
| ~ sQ105_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7096,f3679]) ).
fof(f7109,plain,
( ~ sQ794_spl
| ~ sQ105_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7104,f3680]) ).
fof(f7110,plain,
( ~ sQ792_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f7108]) ).
fof(f7111,plain,
( ~ sQ27_spl
| ~ sQ102_spl
| p103(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7042,f275]) ).
fof(f7112,plain,
( ~ sQ21_spl
| ~ sQ102_spl
| p204(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7042,f256]) ).
fof(f7113,plain,
( ~ sQ15_spl
| ~ sQ102_spl
| p305(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7042,f237]) ).
fof(f7114,plain,
( ~ sQ102_spl
| p203(sK39_skl(sK51_skl))
| sP9_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7042,f187]) ).
fof(f7115,plain,
( ~ sQ102_spl
| p204(sK39_skl(sK51_skl))
| sP8_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7042,f182]) ).
fof(f7116,plain,
( ~ sQ102_spl
| p304(sK39_skl(sK51_skl))
| sP7_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7042,f177]) ).
fof(f7117,plain,
( ~ sQ102_spl
| p304(sK39_skl(sK51_skl))
| sP6_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7042,f172]) ).
fof(f7118,plain,
( ~ sQ102_spl
| p205(sK39_skl(sK51_skl))
| sP5_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7042,f167]) ).
fof(f7119,plain,
( ~ sQ102_spl
| p305(sK39_skl(sK51_skl))
| sP4_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7042,f162]) ).
fof(f7120,plain,
( ~ sQ102_spl
| p405(sK39_skl(sK51_skl))
| sP3_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7042,f157]) ).
fof(f7121,plain,
( ~ sQ102_spl
| p305(sK39_skl(sK51_skl))
| sP2_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7042,f152]) ).
fof(f7122,plain,
( ~ sQ102_spl
| p405(sK39_skl(sK51_skl))
| sP1_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7042,f147]) ).
fof(f7124,definition,
( sQ795_spl
<=> sP9_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ795_spl])],[split_symbol_definition]) ).
fof(f7125,plain,
( ~ sQ795_spl
| sP9_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7124]) ).
fof(f7127,definition,
( sQ796_spl
<=> p203(sK39_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ796_spl])],[split_symbol_definition]) ).
fof(f7128,plain,
( ~ sQ796_spl
| p203(sK39_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7127]) ).
fof(f7130,plain,
( ~ sQ102_spl
| sQ796_spl
| sQ795_spl ),
inference(split_clause,[status(thm)],[f7114,f7124,f7127,f990]) ).
fof(f7131,definition,
( sQ797_spl
<=> sP8_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ797_spl])],[split_symbol_definition]) ).
fof(f7132,plain,
( ~ sQ797_spl
| sP8_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7131]) ).
fof(f7134,definition,
( sQ798_spl
<=> p204(sK39_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ798_spl])],[split_symbol_definition]) ).
fof(f7135,plain,
( ~ sQ798_spl
| p204(sK39_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7134]) ).
fof(f7137,plain,
( ~ sQ102_spl
| sQ798_spl
| sQ797_spl ),
inference(split_clause,[status(thm)],[f7115,f7131,f7134,f990]) ).
fof(f7138,definition,
( sQ799_spl
<=> sP7_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ799_spl])],[split_symbol_definition]) ).
fof(f7139,plain,
( ~ sQ799_spl
| sP7_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7138]) ).
fof(f7141,definition,
( sQ800_spl
<=> p304(sK39_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ800_spl])],[split_symbol_definition]) ).
fof(f7142,plain,
( ~ sQ800_spl
| p304(sK39_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7141]) ).
fof(f7144,plain,
( ~ sQ102_spl
| sQ800_spl
| sQ799_spl ),
inference(split_clause,[status(thm)],[f7116,f7138,f7141,f990]) ).
fof(f7145,definition,
( sQ801_spl
<=> sP6_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ801_spl])],[split_symbol_definition]) ).
fof(f7146,plain,
( ~ sQ801_spl
| sP6_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7145]) ).
fof(f7148,plain,
( ~ sQ102_spl
| sQ800_spl
| sQ801_spl ),
inference(split_clause,[status(thm)],[f7117,f7145,f7141,f990]) ).
fof(f7149,definition,
( sQ802_spl
<=> sP5_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ802_spl])],[split_symbol_definition]) ).
fof(f7150,plain,
( ~ sQ802_spl
| sP5_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7149]) ).
fof(f7152,definition,
( sQ803_spl
<=> p205(sK39_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ803_spl])],[split_symbol_definition]) ).
fof(f7153,plain,
( ~ sQ803_spl
| p205(sK39_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7152]) ).
fof(f7155,plain,
( ~ sQ102_spl
| sQ803_spl
| sQ802_spl ),
inference(split_clause,[status(thm)],[f7118,f7149,f7152,f990]) ).
fof(f7156,definition,
( sQ804_spl
<=> sP4_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ804_spl])],[split_symbol_definition]) ).
fof(f7157,plain,
( ~ sQ804_spl
| sP4_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7156]) ).
fof(f7159,definition,
( sQ805_spl
<=> p305(sK39_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ805_spl])],[split_symbol_definition]) ).
fof(f7160,plain,
( ~ sQ805_spl
| p305(sK39_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7159]) ).
fof(f7162,plain,
( ~ sQ102_spl
| sQ805_spl
| sQ804_spl ),
inference(split_clause,[status(thm)],[f7119,f7156,f7159,f990]) ).
fof(f7163,definition,
( sQ806_spl
<=> sP3_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ806_spl])],[split_symbol_definition]) ).
fof(f7164,plain,
( ~ sQ806_spl
| sP3_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7163]) ).
fof(f7165,plain,
( sQ806_spl
| ~ sP3_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7163]) ).
fof(f7166,plain,
( ~ sQ102_spl
| sQ103_spl
| sQ806_spl ),
inference(split_clause,[status(thm)],[f7120,f7163,f993,f990]) ).
fof(f7167,definition,
( sQ807_spl
<=> sP2_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ807_spl])],[split_symbol_definition]) ).
fof(f7168,plain,
( ~ sQ807_spl
| sP2_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7167]) ).
fof(f7170,plain,
( ~ sQ102_spl
| sQ805_spl
| sQ807_spl ),
inference(split_clause,[status(thm)],[f7121,f7167,f7159,f990]) ).
fof(f7171,definition,
( sQ808_spl
<=> sP1_prd(sK39_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ808_spl])],[split_symbol_definition]) ).
fof(f7172,plain,
( ~ sQ808_spl
| sP1_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7171]) ).
fof(f7173,plain,
( sQ808_spl
| ~ sP1_prd(sK39_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7171]) ).
fof(f7174,plain,
( ~ sQ102_spl
| sQ103_spl
| sQ808_spl ),
inference(split_clause,[status(thm)],[f7122,f7171,f993,f990]) ).
fof(f7176,plain,
( ~ sQ806_spl
| ~ sQ103_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7164,f3684]) ).
fof(f7177,plain,
( ~ sQ808_spl
| ~ sQ103_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7172,f3685]) ).
fof(f7178,plain,
( ~ sQ794_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f7109]) ).
fof(f7179,plain,
( ~ sQ806_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f7176]) ).
fof(f7181,plain,
( ~ sQ21_spl
| ~ sQ102_spl
| p204(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7042,f256]) ).
fof(f7182,plain,
( ~ sQ15_spl
| ~ sQ102_spl
| p305(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7042,f237]) ).
fof(f7203,plain,
( ~ sQ808_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f7177]) ).
fof(f7205,plain,
( ~ sQ21_spl
| ~ sQ102_spl
| p204(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7042,f256]) ).
fof(f7206,plain,
( ~ sQ15_spl
| ~ sQ102_spl
| p305(sK39_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7042,f237]) ).
fof(f7227,plain,
( ~ sQ94_spl
| r1(sK51_skl,sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f963,f140]) ).
fof(f7228,plain,
( ~ sQ27_spl
| ~ sQ94_spl
| p103(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7227,f275]) ).
fof(f7229,plain,
( ~ sQ21_spl
| ~ sQ94_spl
| p204(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7227,f256]) ).
fof(f7230,plain,
( ~ sQ15_spl
| ~ sQ94_spl
| p305(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7227,f237]) ).
fof(f7231,plain,
( ~ sQ94_spl
| p203(sK42_skl(sK51_skl))
| sP9_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7227,f187]) ).
fof(f7232,plain,
( ~ sQ94_spl
| p204(sK42_skl(sK51_skl))
| sP8_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7227,f182]) ).
fof(f7233,plain,
( ~ sQ94_spl
| p304(sK42_skl(sK51_skl))
| sP7_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7227,f177]) ).
fof(f7234,plain,
( ~ sQ94_spl
| p304(sK42_skl(sK51_skl))
| sP6_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7227,f172]) ).
fof(f7235,plain,
( ~ sQ94_spl
| p205(sK42_skl(sK51_skl))
| sP5_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7227,f167]) ).
fof(f7236,plain,
( ~ sQ94_spl
| p305(sK42_skl(sK51_skl))
| sP4_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7227,f162]) ).
fof(f7237,plain,
( ~ sQ94_spl
| p405(sK42_skl(sK51_skl))
| sP3_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7227,f157]) ).
fof(f7238,plain,
( ~ sQ94_spl
| p305(sK42_skl(sK51_skl))
| sP2_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7227,f152]) ).
fof(f7239,plain,
( ~ sQ94_spl
| p405(sK42_skl(sK51_skl))
| sP1_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7227,f147]) ).
fof(f7241,definition,
( sQ809_spl
<=> sP9_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ809_spl])],[split_symbol_definition]) ).
fof(f7242,plain,
( ~ sQ809_spl
| sP9_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7241]) ).
fof(f7244,definition,
( sQ810_spl
<=> p203(sK42_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ810_spl])],[split_symbol_definition]) ).
fof(f7245,plain,
( ~ sQ810_spl
| p203(sK42_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7244]) ).
fof(f7247,plain,
( ~ sQ94_spl
| sQ810_spl
| sQ809_spl ),
inference(split_clause,[status(thm)],[f7231,f7241,f7244,f962]) ).
fof(f7248,definition,
( sQ811_spl
<=> sP8_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ811_spl])],[split_symbol_definition]) ).
fof(f7249,plain,
( ~ sQ811_spl
| sP8_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7248]) ).
fof(f7251,definition,
( sQ812_spl
<=> p204(sK42_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ812_spl])],[split_symbol_definition]) ).
fof(f7252,plain,
( ~ sQ812_spl
| p204(sK42_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7251]) ).
fof(f7254,plain,
( ~ sQ94_spl
| sQ812_spl
| sQ811_spl ),
inference(split_clause,[status(thm)],[f7232,f7248,f7251,f962]) ).
fof(f7255,definition,
( sQ813_spl
<=> sP7_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ813_spl])],[split_symbol_definition]) ).
fof(f7256,plain,
( ~ sQ813_spl
| sP7_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7255]) ).
fof(f7258,definition,
( sQ814_spl
<=> p304(sK42_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ814_spl])],[split_symbol_definition]) ).
fof(f7259,plain,
( ~ sQ814_spl
| p304(sK42_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7258]) ).
fof(f7261,plain,
( ~ sQ94_spl
| sQ814_spl
| sQ813_spl ),
inference(split_clause,[status(thm)],[f7233,f7255,f7258,f962]) ).
fof(f7262,definition,
( sQ815_spl
<=> sP6_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ815_spl])],[split_symbol_definition]) ).
fof(f7263,plain,
( ~ sQ815_spl
| sP6_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7262]) ).
fof(f7265,plain,
( ~ sQ94_spl
| sQ814_spl
| sQ815_spl ),
inference(split_clause,[status(thm)],[f7234,f7262,f7258,f962]) ).
fof(f7266,definition,
( sQ816_spl
<=> sP5_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ816_spl])],[split_symbol_definition]) ).
fof(f7267,plain,
( ~ sQ816_spl
| sP5_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7266]) ).
fof(f7269,definition,
( sQ817_spl
<=> p205(sK42_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ817_spl])],[split_symbol_definition]) ).
fof(f7270,plain,
( ~ sQ817_spl
| p205(sK42_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7269]) ).
fof(f7272,plain,
( ~ sQ94_spl
| sQ817_spl
| sQ816_spl ),
inference(split_clause,[status(thm)],[f7235,f7266,f7269,f962]) ).
fof(f7273,definition,
( sQ818_spl
<=> sP4_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ818_spl])],[split_symbol_definition]) ).
fof(f7274,plain,
( ~ sQ818_spl
| sP4_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7273]) ).
fof(f7276,definition,
( sQ819_spl
<=> p305(sK42_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ819_spl])],[split_symbol_definition]) ).
fof(f7277,plain,
( ~ sQ819_spl
| p305(sK42_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7276]) ).
fof(f7279,plain,
( ~ sQ94_spl
| sQ819_spl
| sQ818_spl ),
inference(split_clause,[status(thm)],[f7236,f7273,f7276,f962]) ).
fof(f7280,definition,
( sQ820_spl
<=> sP3_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ820_spl])],[split_symbol_definition]) ).
fof(f7281,plain,
( ~ sQ820_spl
| sP3_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7280]) ).
fof(f7282,plain,
( sQ820_spl
| ~ sP3_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7280]) ).
fof(f7283,plain,
( ~ sQ94_spl
| sQ95_spl
| sQ820_spl ),
inference(split_clause,[status(thm)],[f7237,f7280,f965,f962]) ).
fof(f7284,definition,
( sQ821_spl
<=> sP2_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ821_spl])],[split_symbol_definition]) ).
fof(f7285,plain,
( ~ sQ821_spl
| sP2_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7284]) ).
fof(f7287,plain,
( ~ sQ94_spl
| sQ819_spl
| sQ821_spl ),
inference(split_clause,[status(thm)],[f7238,f7284,f7276,f962]) ).
fof(f7288,definition,
( sQ822_spl
<=> sP1_prd(sK42_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ822_spl])],[split_symbol_definition]) ).
fof(f7289,plain,
( ~ sQ822_spl
| sP1_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7288]) ).
fof(f7290,plain,
( sQ822_spl
| ~ sP1_prd(sK42_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7288]) ).
fof(f7291,plain,
( ~ sQ94_spl
| sQ95_spl
| sQ822_spl ),
inference(split_clause,[status(thm)],[f7239,f7288,f965,f962]) ).
fof(f7293,plain,
( ~ sQ820_spl
| ~ sQ95_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7281,f3857]) ).
fof(f7294,plain,
( ~ sQ822_spl
| ~ sQ95_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7289,f3858]) ).
fof(f7295,plain,
( ~ sQ820_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f7293]) ).
fof(f7297,plain,
( ~ sQ21_spl
| ~ sQ94_spl
| p204(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7227,f256]) ).
fof(f7298,plain,
( ~ sQ15_spl
| ~ sQ94_spl
| p305(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7227,f237]) ).
fof(f7319,plain,
( ~ sQ822_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f7294]) ).
fof(f7321,plain,
( ~ sQ21_spl
| ~ sQ94_spl
| p204(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7227,f256]) ).
fof(f7322,plain,
( ~ sQ15_spl
| ~ sQ94_spl
| p305(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7227,f237]) ).
fof(f7343,plain,
! [X0] :
( ~ sQ688_spl
| ~ sP7_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5333,f176]) ).
fof(f7344,plain,
! [X0] :
( ~ sQ688_spl
| ~ sP6_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5333,f171]) ).
fof(f7345,plain,
( ~ sQ687_spl
| ~ sQ688_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5330,f7343]) ).
fof(f7346,plain,
( ~ sQ689_spl
| ~ sQ688_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5337,f7344]) ).
fof(f7347,plain,
( ~ sQ687_spl
| ~ sQ688_spl ),
inference(contradiction_clause,[status(thm)],[f7345]) ).
fof(f7348,plain,
( ~ sQ60_spl
| ~ sQ21_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3129,f2826,f255,f679]) ).
fof(f7349,plain,
( ~ sQ489_spl
| ~ sQ486_spl ),
inference(contradiction_clause,[status(thm)],[f5399]) ).
fof(f7350,plain,
( ~ sQ689_spl
| ~ sQ688_spl ),
inference(contradiction_clause,[status(thm)],[f7346]) ).
fof(f7351,plain,
( ~ sQ60_spl
| ~ sQ15_spl
| sQ486_spl ),
inference(split_clause,[status(thm)],[f4591,f2848,f236,f679]) ).
fof(f7353,plain,
( ~ sQ21_spl
| ~ sQ61_spl
| p204(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f256]) ).
fof(f7354,plain,
( ~ sQ15_spl
| ~ sQ61_spl
| p305(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f237]) ).
fof(f7375,plain,
( ~ sQ686_spl
| sP6_prd(sK27_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f5326,f61]) ).
fof(f7376,plain,
! [X0] :
( ~ sQ686_spl
| ~ sP8_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5326,f181]) ).
fof(f7377,plain,
( ~ sQ686_spl
| sQ60_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f7375,f1320,f679,f5325]) ).
fof(f7378,plain,
( ~ sQ685_spl
| ~ sQ686_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5323,f7376]) ).
fof(f7379,plain,
( ~ sQ685_spl
| ~ sQ686_spl ),
inference(contradiction_clause,[status(thm)],[f7378]) ).
fof(f7380,plain,
( ~ sQ21_spl
| ~ sQ61_spl
| sQ686_spl ),
inference(split_clause,[status(thm)],[f7353,f5325,f682,f255]) ).
fof(f7391,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f317,f1728,f292,f236]) ).
fof(f7392,plain,
! [X0] :
( ~ sQ684_spl
| ~ sP9_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5319,f186]) ).
fof(f7393,plain,
( ~ sQ683_spl
| ~ sQ684_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5316,f7392]) ).
fof(f7394,plain,
( ~ sQ683_spl
| ~ sQ684_spl ),
inference(contradiction_clause,[status(thm)],[f7393]) ).
fof(f7395,plain,
! [X0] :
( ~ sQ691_spl
| ~ sP5_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5344,f166]) ).
fof(f7396,plain,
( ~ sQ690_spl
| ~ sQ691_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5341,f7395]) ).
fof(f7397,plain,
( ~ sQ690_spl
| ~ sQ691_spl ),
inference(contradiction_clause,[status(thm)],[f7396]) ).
fof(f7398,plain,
! [X0] :
( ~ sQ693_spl
| ~ sP4_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5351,f161]) ).
fof(f7399,plain,
! [X0] :
( ~ sQ693_spl
| ~ sP2_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5351,f151]) ).
fof(f7400,plain,
( ~ sQ692_spl
| ~ sQ693_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5348,f7398]) ).
fof(f7401,plain,
( ~ sQ695_spl
| ~ sQ693_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5359,f7399]) ).
fof(f7402,plain,
( ~ sQ692_spl
| ~ sQ693_spl ),
inference(contradiction_clause,[status(thm)],[f7400]) ).
fof(f7403,plain,
( ~ sQ695_spl
| ~ sQ693_spl ),
inference(contradiction_clause,[status(thm)],[f7401]) ).
fof(f7404,plain,
( ~ sQ15_spl
| ~ sQ61_spl
| sQ693_spl ),
inference(split_clause,[status(thm)],[f7354,f5350,f682,f236]) ).
fof(f7409,plain,
( ~ sQ92_spl
| r1(sK51_skl,sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f956,f140]) ).
fof(f7410,plain,
( ~ sQ86_spl
| r1(sK51_skl,sK48_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f935,f140]) ).
fof(f7411,plain,
( ~ sQ82_spl
| r1(sK51_skl,sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f921,f140]) ).
fof(f7412,plain,
( ~ sQ27_spl
| ~ sQ92_spl
| p103(sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7409,f275]) ).
fof(f7413,plain,
( ~ sQ15_spl
| ~ sQ92_spl
| p305(sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7409,f237]) ).
fof(f7414,plain,
( ~ sQ92_spl
| p203(sK43_skl(sK51_skl))
| sP9_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7409,f187]) ).
fof(f7415,plain,
( ~ sQ92_spl
| p204(sK43_skl(sK51_skl))
| sP8_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7409,f182]) ).
fof(f7416,plain,
( ~ sQ92_spl
| p304(sK43_skl(sK51_skl))
| sP7_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7409,f177]) ).
fof(f7417,plain,
( ~ sQ92_spl
| p304(sK43_skl(sK51_skl))
| sP6_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7409,f172]) ).
fof(f7418,plain,
( ~ sQ92_spl
| p205(sK43_skl(sK51_skl))
| sP5_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7409,f167]) ).
fof(f7419,plain,
( ~ sQ92_spl
| p305(sK43_skl(sK51_skl))
| sP4_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7409,f162]) ).
fof(f7420,plain,
( ~ sQ92_spl
| p405(sK43_skl(sK51_skl))
| sP3_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7409,f157]) ).
fof(f7421,plain,
( ~ sQ92_spl
| p305(sK43_skl(sK51_skl))
| sP2_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7409,f152]) ).
fof(f7422,plain,
( ~ sQ92_spl
| p405(sK43_skl(sK51_skl))
| sP1_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7409,f147]) ).
fof(f7424,definition,
( sQ823_spl
<=> sP9_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ823_spl])],[split_symbol_definition]) ).
fof(f7425,plain,
( ~ sQ823_spl
| sP9_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7424]) ).
fof(f7427,definition,
( sQ824_spl
<=> p203(sK43_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ824_spl])],[split_symbol_definition]) ).
fof(f7428,plain,
( ~ sQ824_spl
| p203(sK43_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7427]) ).
fof(f7430,plain,
( ~ sQ92_spl
| sQ824_spl
| sQ823_spl ),
inference(split_clause,[status(thm)],[f7414,f7424,f7427,f955]) ).
fof(f7431,definition,
( sQ825_spl
<=> sP8_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ825_spl])],[split_symbol_definition]) ).
fof(f7432,plain,
( ~ sQ825_spl
| sP8_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7431]) ).
fof(f7434,definition,
( sQ826_spl
<=> p204(sK43_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ826_spl])],[split_symbol_definition]) ).
fof(f7435,plain,
( ~ sQ826_spl
| p204(sK43_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7434]) ).
fof(f7437,plain,
( ~ sQ92_spl
| sQ826_spl
| sQ825_spl ),
inference(split_clause,[status(thm)],[f7415,f7431,f7434,f955]) ).
fof(f7438,definition,
( sQ827_spl
<=> sP7_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ827_spl])],[split_symbol_definition]) ).
fof(f7439,plain,
( ~ sQ827_spl
| sP7_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7438]) ).
fof(f7441,definition,
( sQ828_spl
<=> p304(sK43_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ828_spl])],[split_symbol_definition]) ).
fof(f7442,plain,
( ~ sQ828_spl
| p304(sK43_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7441]) ).
fof(f7444,plain,
( ~ sQ92_spl
| sQ828_spl
| sQ827_spl ),
inference(split_clause,[status(thm)],[f7416,f7438,f7441,f955]) ).
fof(f7445,definition,
( sQ829_spl
<=> sP6_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ829_spl])],[split_symbol_definition]) ).
fof(f7446,plain,
( ~ sQ829_spl
| sP6_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7445]) ).
fof(f7448,plain,
( ~ sQ92_spl
| sQ828_spl
| sQ829_spl ),
inference(split_clause,[status(thm)],[f7417,f7445,f7441,f955]) ).
fof(f7449,definition,
( sQ830_spl
<=> sP5_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ830_spl])],[split_symbol_definition]) ).
fof(f7450,plain,
( ~ sQ830_spl
| sP5_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7449]) ).
fof(f7452,definition,
( sQ831_spl
<=> p205(sK43_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ831_spl])],[split_symbol_definition]) ).
fof(f7453,plain,
( ~ sQ831_spl
| p205(sK43_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7452]) ).
fof(f7455,plain,
( ~ sQ92_spl
| sQ831_spl
| sQ830_spl ),
inference(split_clause,[status(thm)],[f7418,f7449,f7452,f955]) ).
fof(f7456,definition,
( sQ832_spl
<=> sP4_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ832_spl])],[split_symbol_definition]) ).
fof(f7457,plain,
( ~ sQ832_spl
| sP4_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7456]) ).
fof(f7459,definition,
( sQ833_spl
<=> p305(sK43_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ833_spl])],[split_symbol_definition]) ).
fof(f7460,plain,
( ~ sQ833_spl
| p305(sK43_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7459]) ).
fof(f7462,plain,
( ~ sQ92_spl
| sQ833_spl
| sQ832_spl ),
inference(split_clause,[status(thm)],[f7419,f7456,f7459,f955]) ).
fof(f7463,definition,
( sQ834_spl
<=> sP3_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ834_spl])],[split_symbol_definition]) ).
fof(f7464,plain,
( ~ sQ834_spl
| sP3_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7463]) ).
fof(f7465,plain,
( sQ834_spl
| ~ sP3_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7463]) ).
fof(f7466,plain,
( ~ sQ92_spl
| sQ93_spl
| sQ834_spl ),
inference(split_clause,[status(thm)],[f7420,f7463,f958,f955]) ).
fof(f7467,definition,
( sQ835_spl
<=> sP2_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ835_spl])],[split_symbol_definition]) ).
fof(f7468,plain,
( ~ sQ835_spl
| sP2_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7467]) ).
fof(f7470,plain,
( ~ sQ92_spl
| sQ833_spl
| sQ835_spl ),
inference(split_clause,[status(thm)],[f7421,f7467,f7459,f955]) ).
fof(f7471,definition,
( sQ836_spl
<=> sP1_prd(sK43_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ836_spl])],[split_symbol_definition]) ).
fof(f7472,plain,
( ~ sQ836_spl
| sP1_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7471]) ).
fof(f7473,plain,
( sQ836_spl
| ~ sP1_prd(sK43_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7471]) ).
fof(f7474,plain,
( ~ sQ92_spl
| sQ93_spl
| sQ836_spl ),
inference(split_clause,[status(thm)],[f7422,f7471,f958,f955]) ).
fof(f7476,plain,
( ~ sQ834_spl
| ~ sQ93_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7464,f3862]) ).
fof(f7477,plain,
( ~ sQ836_spl
| ~ sQ93_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7472,f3863]) ).
fof(f7478,plain,
( ~ sQ834_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f7476]) ).
fof(f7479,plain,
( ~ sQ27_spl
| ~ sQ86_spl
| p103(sK48_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7410,f275]) ).
fof(f7480,plain,
( ~ sQ15_spl
| ~ sQ86_spl
| p305(sK48_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7410,f237]) ).
fof(f7481,plain,
( ~ sQ86_spl
| p203(sK48_skl(sK51_skl))
| sP9_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7410,f187]) ).
fof(f7482,plain,
( ~ sQ86_spl
| p204(sK48_skl(sK51_skl))
| sP8_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7410,f182]) ).
fof(f7483,plain,
( ~ sQ86_spl
| p304(sK48_skl(sK51_skl))
| sP7_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7410,f177]) ).
fof(f7484,plain,
( ~ sQ86_spl
| p304(sK48_skl(sK51_skl))
| sP6_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7410,f172]) ).
fof(f7485,plain,
( ~ sQ86_spl
| p205(sK48_skl(sK51_skl))
| sP5_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7410,f167]) ).
fof(f7486,plain,
( ~ sQ86_spl
| p305(sK48_skl(sK51_skl))
| sP4_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7410,f162]) ).
fof(f7487,plain,
( ~ sQ86_spl
| p405(sK48_skl(sK51_skl))
| sP3_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7410,f157]) ).
fof(f7488,plain,
( ~ sQ86_spl
| p305(sK48_skl(sK51_skl))
| sP2_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7410,f152]) ).
fof(f7489,plain,
( ~ sQ86_spl
| p405(sK48_skl(sK51_skl))
| sP1_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7410,f147]) ).
fof(f7491,definition,
( sQ837_spl
<=> sP9_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ837_spl])],[split_symbol_definition]) ).
fof(f7492,plain,
( ~ sQ837_spl
| sP9_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7491]) ).
fof(f7494,definition,
( sQ838_spl
<=> p203(sK48_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ838_spl])],[split_symbol_definition]) ).
fof(f7495,plain,
( ~ sQ838_spl
| p203(sK48_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7494]) ).
fof(f7497,plain,
( ~ sQ86_spl
| sQ838_spl
| sQ837_spl ),
inference(split_clause,[status(thm)],[f7481,f7491,f7494,f934]) ).
fof(f7498,definition,
( sQ839_spl
<=> sP8_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ839_spl])],[split_symbol_definition]) ).
fof(f7499,plain,
( ~ sQ839_spl
| sP8_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7498]) ).
fof(f7501,definition,
( sQ840_spl
<=> p204(sK48_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ840_spl])],[split_symbol_definition]) ).
fof(f7502,plain,
( ~ sQ840_spl
| p204(sK48_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7501]) ).
fof(f7504,plain,
( ~ sQ86_spl
| sQ840_spl
| sQ839_spl ),
inference(split_clause,[status(thm)],[f7482,f7498,f7501,f934]) ).
fof(f7505,definition,
( sQ841_spl
<=> sP7_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ841_spl])],[split_symbol_definition]) ).
fof(f7506,plain,
( ~ sQ841_spl
| sP7_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7505]) ).
fof(f7508,definition,
( sQ842_spl
<=> p304(sK48_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ842_spl])],[split_symbol_definition]) ).
fof(f7509,plain,
( ~ sQ842_spl
| p304(sK48_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7508]) ).
fof(f7511,plain,
( ~ sQ86_spl
| sQ842_spl
| sQ841_spl ),
inference(split_clause,[status(thm)],[f7483,f7505,f7508,f934]) ).
fof(f7512,definition,
( sQ843_spl
<=> sP6_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ843_spl])],[split_symbol_definition]) ).
fof(f7513,plain,
( ~ sQ843_spl
| sP6_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7512]) ).
fof(f7515,plain,
( ~ sQ86_spl
| sQ842_spl
| sQ843_spl ),
inference(split_clause,[status(thm)],[f7484,f7512,f7508,f934]) ).
fof(f7516,definition,
( sQ844_spl
<=> sP5_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ844_spl])],[split_symbol_definition]) ).
fof(f7517,plain,
( ~ sQ844_spl
| sP5_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7516]) ).
fof(f7519,definition,
( sQ845_spl
<=> p205(sK48_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ845_spl])],[split_symbol_definition]) ).
fof(f7520,plain,
( ~ sQ845_spl
| p205(sK48_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7519]) ).
fof(f7522,plain,
( ~ sQ86_spl
| sQ845_spl
| sQ844_spl ),
inference(split_clause,[status(thm)],[f7485,f7516,f7519,f934]) ).
fof(f7523,definition,
( sQ846_spl
<=> sP4_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ846_spl])],[split_symbol_definition]) ).
fof(f7524,plain,
( ~ sQ846_spl
| sP4_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7523]) ).
fof(f7526,definition,
( sQ847_spl
<=> p305(sK48_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ847_spl])],[split_symbol_definition]) ).
fof(f7527,plain,
( ~ sQ847_spl
| p305(sK48_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7526]) ).
fof(f7529,plain,
( ~ sQ86_spl
| sQ847_spl
| sQ846_spl ),
inference(split_clause,[status(thm)],[f7486,f7523,f7526,f934]) ).
fof(f7530,definition,
( sQ848_spl
<=> sP3_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ848_spl])],[split_symbol_definition]) ).
fof(f7531,plain,
( ~ sQ848_spl
| sP3_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7530]) ).
fof(f7532,plain,
( sQ848_spl
| ~ sP3_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7530]) ).
fof(f7533,plain,
( ~ sQ86_spl
| sQ87_spl
| sQ848_spl ),
inference(split_clause,[status(thm)],[f7487,f7530,f937,f934]) ).
fof(f7534,definition,
( sQ849_spl
<=> sP2_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ849_spl])],[split_symbol_definition]) ).
fof(f7535,plain,
( ~ sQ849_spl
| sP2_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7534]) ).
fof(f7537,plain,
( ~ sQ86_spl
| sQ847_spl
| sQ849_spl ),
inference(split_clause,[status(thm)],[f7488,f7534,f7526,f934]) ).
fof(f7538,definition,
( sQ850_spl
<=> sP1_prd(sK48_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ850_spl])],[split_symbol_definition]) ).
fof(f7539,plain,
( ~ sQ850_spl
| sP1_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7538]) ).
fof(f7540,plain,
( sQ850_spl
| ~ sP1_prd(sK48_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7538]) ).
fof(f7541,plain,
( ~ sQ86_spl
| sQ87_spl
| sQ850_spl ),
inference(split_clause,[status(thm)],[f7489,f7538,f937,f934]) ).
fof(f7543,plain,
( ~ sQ848_spl
| ~ sQ87_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7531,f3998]) ).
fof(f7544,plain,
( ~ sQ850_spl
| ~ sQ87_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7539,f3999]) ).
fof(f7545,plain,
( ~ sQ836_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f7477]) ).
fof(f7546,plain,
( ~ sQ848_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f7543]) ).
fof(f7547,plain,
( ~ sQ27_spl
| ~ sQ82_spl
| p103(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7411,f275]) ).
fof(f7548,plain,
( ~ sQ15_spl
| ~ sQ82_spl
| p305(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7411,f237]) ).
fof(f7549,plain,
( ~ sQ82_spl
| p203(sK49_skl(sK51_skl))
| sP9_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7411,f187]) ).
fof(f7550,plain,
( ~ sQ82_spl
| p204(sK49_skl(sK51_skl))
| sP8_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7411,f182]) ).
fof(f7551,plain,
( ~ sQ82_spl
| p304(sK49_skl(sK51_skl))
| sP7_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7411,f177]) ).
fof(f7552,plain,
( ~ sQ82_spl
| p304(sK49_skl(sK51_skl))
| sP6_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7411,f172]) ).
fof(f7553,plain,
( ~ sQ82_spl
| p205(sK49_skl(sK51_skl))
| sP5_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7411,f167]) ).
fof(f7554,plain,
( ~ sQ82_spl
| p305(sK49_skl(sK51_skl))
| sP4_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7411,f162]) ).
fof(f7555,plain,
( ~ sQ82_spl
| p405(sK49_skl(sK51_skl))
| sP3_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7411,f157]) ).
fof(f7556,plain,
( ~ sQ82_spl
| p305(sK49_skl(sK51_skl))
| sP2_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7411,f152]) ).
fof(f7557,plain,
( ~ sQ82_spl
| p405(sK49_skl(sK51_skl))
| sP1_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7411,f147]) ).
fof(f7559,definition,
( sQ851_spl
<=> sP9_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ851_spl])],[split_symbol_definition]) ).
fof(f7560,plain,
( ~ sQ851_spl
| sP9_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7559]) ).
fof(f7562,definition,
( sQ852_spl
<=> p203(sK49_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ852_spl])],[split_symbol_definition]) ).
fof(f7563,plain,
( ~ sQ852_spl
| p203(sK49_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7562]) ).
fof(f7565,plain,
( ~ sQ82_spl
| sQ852_spl
| sQ851_spl ),
inference(split_clause,[status(thm)],[f7549,f7559,f7562,f920]) ).
fof(f7566,definition,
( sQ853_spl
<=> sP8_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ853_spl])],[split_symbol_definition]) ).
fof(f7567,plain,
( ~ sQ853_spl
| sP8_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7566]) ).
fof(f7569,definition,
( sQ854_spl
<=> p204(sK49_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ854_spl])],[split_symbol_definition]) ).
fof(f7570,plain,
( ~ sQ854_spl
| p204(sK49_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7569]) ).
fof(f7572,plain,
( ~ sQ82_spl
| sQ854_spl
| sQ853_spl ),
inference(split_clause,[status(thm)],[f7550,f7566,f7569,f920]) ).
fof(f7573,definition,
( sQ855_spl
<=> sP7_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ855_spl])],[split_symbol_definition]) ).
fof(f7574,plain,
( ~ sQ855_spl
| sP7_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7573]) ).
fof(f7576,definition,
( sQ856_spl
<=> p304(sK49_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ856_spl])],[split_symbol_definition]) ).
fof(f7577,plain,
( ~ sQ856_spl
| p304(sK49_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7576]) ).
fof(f7579,plain,
( ~ sQ82_spl
| sQ856_spl
| sQ855_spl ),
inference(split_clause,[status(thm)],[f7551,f7573,f7576,f920]) ).
fof(f7580,definition,
( sQ857_spl
<=> sP6_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ857_spl])],[split_symbol_definition]) ).
fof(f7581,plain,
( ~ sQ857_spl
| sP6_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7580]) ).
fof(f7583,plain,
( ~ sQ82_spl
| sQ856_spl
| sQ857_spl ),
inference(split_clause,[status(thm)],[f7552,f7580,f7576,f920]) ).
fof(f7584,definition,
( sQ858_spl
<=> sP5_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ858_spl])],[split_symbol_definition]) ).
fof(f7585,plain,
( ~ sQ858_spl
| sP5_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7584]) ).
fof(f7587,definition,
( sQ859_spl
<=> p205(sK49_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ859_spl])],[split_symbol_definition]) ).
fof(f7588,plain,
( ~ sQ859_spl
| p205(sK49_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7587]) ).
fof(f7590,plain,
( ~ sQ82_spl
| sQ859_spl
| sQ858_spl ),
inference(split_clause,[status(thm)],[f7553,f7584,f7587,f920]) ).
fof(f7591,definition,
( sQ860_spl
<=> sP4_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ860_spl])],[split_symbol_definition]) ).
fof(f7592,plain,
( ~ sQ860_spl
| sP4_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7591]) ).
fof(f7594,definition,
( sQ861_spl
<=> p305(sK49_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ861_spl])],[split_symbol_definition]) ).
fof(f7595,plain,
( ~ sQ861_spl
| p305(sK49_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7594]) ).
fof(f7597,plain,
( ~ sQ82_spl
| sQ861_spl
| sQ860_spl ),
inference(split_clause,[status(thm)],[f7554,f7591,f7594,f920]) ).
fof(f7598,definition,
( sQ862_spl
<=> sP3_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ862_spl])],[split_symbol_definition]) ).
fof(f7599,plain,
( ~ sQ862_spl
| sP3_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7598]) ).
fof(f7600,plain,
( sQ862_spl
| ~ sP3_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7598]) ).
fof(f7601,plain,
( ~ sQ82_spl
| sQ83_spl
| sQ862_spl ),
inference(split_clause,[status(thm)],[f7555,f7598,f923,f920]) ).
fof(f7602,definition,
( sQ863_spl
<=> sP2_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ863_spl])],[split_symbol_definition]) ).
fof(f7603,plain,
( ~ sQ863_spl
| sP2_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7602]) ).
fof(f7605,plain,
( ~ sQ82_spl
| sQ861_spl
| sQ863_spl ),
inference(split_clause,[status(thm)],[f7556,f7602,f7594,f920]) ).
fof(f7606,definition,
( sQ864_spl
<=> sP1_prd(sK49_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ864_spl])],[split_symbol_definition]) ).
fof(f7607,plain,
( ~ sQ864_spl
| sP1_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7606]) ).
fof(f7608,plain,
( sQ864_spl
| ~ sP1_prd(sK49_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7606]) ).
fof(f7609,plain,
( ~ sQ82_spl
| sQ83_spl
| sQ864_spl ),
inference(split_clause,[status(thm)],[f7557,f7606,f923,f920]) ).
fof(f7611,plain,
( ~ sQ862_spl
| ~ sQ83_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7599,f4008]) ).
fof(f7612,plain,
( ~ sQ864_spl
| ~ sQ83_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7607,f4009]) ).
fof(f7613,plain,
( ~ sQ850_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f7544]) ).
fof(f7614,plain,
( ~ sQ862_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f7611]) ).
fof(f7616,plain,
( ~ sQ15_spl
| ~ sQ82_spl
| p305(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7411,f237]) ).
fof(f7637,plain,
( ~ sQ864_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f7612]) ).
fof(f7639,plain,
( ~ sQ15_spl
| ~ sQ82_spl
| p305(sK49_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7411,f237]) ).
fof(f7660,plain,
( ~ sQ80_spl
| r1(sK51_skl,sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f914,f140]) ).
fof(f7661,plain,
( ~ sQ27_spl
| ~ sQ80_spl
| p103(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7660,f275]) ).
fof(f7662,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| p305(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7660,f237]) ).
fof(f7663,plain,
( ~ sQ80_spl
| p203(sK50_skl(sK51_skl))
| sP9_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7660,f187]) ).
fof(f7664,plain,
( ~ sQ80_spl
| p204(sK50_skl(sK51_skl))
| sP8_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7660,f182]) ).
fof(f7665,plain,
( ~ sQ80_spl
| p304(sK50_skl(sK51_skl))
| sP7_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7660,f177]) ).
fof(f7666,plain,
( ~ sQ80_spl
| p304(sK50_skl(sK51_skl))
| sP6_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7660,f172]) ).
fof(f7667,plain,
( ~ sQ80_spl
| p205(sK50_skl(sK51_skl))
| sP5_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7660,f167]) ).
fof(f7668,plain,
( ~ sQ80_spl
| p305(sK50_skl(sK51_skl))
| sP4_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7660,f162]) ).
fof(f7669,plain,
( ~ sQ80_spl
| p405(sK50_skl(sK51_skl))
| sP3_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7660,f157]) ).
fof(f7670,plain,
( ~ sQ80_spl
| p305(sK50_skl(sK51_skl))
| sP2_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7660,f152]) ).
fof(f7671,plain,
( ~ sQ80_spl
| p405(sK50_skl(sK51_skl))
| sP1_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f7660,f147]) ).
fof(f7673,definition,
( sQ865_spl
<=> sP9_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ865_spl])],[split_symbol_definition]) ).
fof(f7674,plain,
( ~ sQ865_spl
| sP9_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7673]) ).
fof(f7676,definition,
( sQ866_spl
<=> p203(sK50_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ866_spl])],[split_symbol_definition]) ).
fof(f7677,plain,
( ~ sQ866_spl
| p203(sK50_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7676]) ).
fof(f7679,plain,
( ~ sQ80_spl
| sQ866_spl
| sQ865_spl ),
inference(split_clause,[status(thm)],[f7663,f7673,f7676,f913]) ).
fof(f7680,definition,
( sQ867_spl
<=> sP8_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ867_spl])],[split_symbol_definition]) ).
fof(f7681,plain,
( ~ sQ867_spl
| sP8_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7680]) ).
fof(f7683,definition,
( sQ868_spl
<=> p204(sK50_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ868_spl])],[split_symbol_definition]) ).
fof(f7684,plain,
( ~ sQ868_spl
| p204(sK50_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7683]) ).
fof(f7686,plain,
( ~ sQ80_spl
| sQ868_spl
| sQ867_spl ),
inference(split_clause,[status(thm)],[f7664,f7680,f7683,f913]) ).
fof(f7687,definition,
( sQ869_spl
<=> sP7_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ869_spl])],[split_symbol_definition]) ).
fof(f7688,plain,
( ~ sQ869_spl
| sP7_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7687]) ).
fof(f7690,definition,
( sQ870_spl
<=> p304(sK50_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ870_spl])],[split_symbol_definition]) ).
fof(f7691,plain,
( ~ sQ870_spl
| p304(sK50_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7690]) ).
fof(f7693,plain,
( ~ sQ80_spl
| sQ870_spl
| sQ869_spl ),
inference(split_clause,[status(thm)],[f7665,f7687,f7690,f913]) ).
fof(f7694,definition,
( sQ871_spl
<=> sP6_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ871_spl])],[split_symbol_definition]) ).
fof(f7695,plain,
( ~ sQ871_spl
| sP6_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7694]) ).
fof(f7697,plain,
( ~ sQ80_spl
| sQ870_spl
| sQ871_spl ),
inference(split_clause,[status(thm)],[f7666,f7694,f7690,f913]) ).
fof(f7698,definition,
( sQ872_spl
<=> sP5_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ872_spl])],[split_symbol_definition]) ).
fof(f7699,plain,
( ~ sQ872_spl
| sP5_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7698]) ).
fof(f7701,definition,
( sQ873_spl
<=> p205(sK50_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ873_spl])],[split_symbol_definition]) ).
fof(f7702,plain,
( ~ sQ873_spl
| p205(sK50_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7701]) ).
fof(f7704,plain,
( ~ sQ80_spl
| sQ873_spl
| sQ872_spl ),
inference(split_clause,[status(thm)],[f7667,f7698,f7701,f913]) ).
fof(f7705,definition,
( sQ874_spl
<=> sP4_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ874_spl])],[split_symbol_definition]) ).
fof(f7706,plain,
( ~ sQ874_spl
| sP4_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7705]) ).
fof(f7708,definition,
( sQ875_spl
<=> p305(sK50_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ875_spl])],[split_symbol_definition]) ).
fof(f7709,plain,
( ~ sQ875_spl
| p305(sK50_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f7708]) ).
fof(f7711,plain,
( ~ sQ80_spl
| sQ875_spl
| sQ874_spl ),
inference(split_clause,[status(thm)],[f7668,f7705,f7708,f913]) ).
fof(f7712,definition,
( sQ876_spl
<=> sP3_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ876_spl])],[split_symbol_definition]) ).
fof(f7713,plain,
( ~ sQ876_spl
| sP3_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7712]) ).
fof(f7714,plain,
( sQ876_spl
| ~ sP3_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7712]) ).
fof(f7715,plain,
( ~ sQ80_spl
| sQ81_spl
| sQ876_spl ),
inference(split_clause,[status(thm)],[f7669,f7712,f916,f913]) ).
fof(f7716,definition,
( sQ877_spl
<=> sP2_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ877_spl])],[split_symbol_definition]) ).
fof(f7717,plain,
( ~ sQ877_spl
| sP2_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7716]) ).
fof(f7719,plain,
( ~ sQ80_spl
| sQ875_spl
| sQ877_spl ),
inference(split_clause,[status(thm)],[f7670,f7716,f7708,f913]) ).
fof(f7720,definition,
( sQ878_spl
<=> sP1_prd(sK50_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ878_spl])],[split_symbol_definition]) ).
fof(f7721,plain,
( ~ sQ878_spl
| sP1_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7720]) ).
fof(f7722,plain,
( sQ878_spl
| ~ sP1_prd(sK50_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f7720]) ).
fof(f7723,plain,
( ~ sQ80_spl
| sQ81_spl
| sQ878_spl ),
inference(split_clause,[status(thm)],[f7671,f7720,f916,f913]) ).
fof(f7725,plain,
( ~ sQ876_spl
| ~ sQ81_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7713,f4013]) ).
fof(f7726,plain,
( ~ sQ878_spl
| ~ sQ81_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7721,f4014]) ).
fof(f7727,plain,
( ~ sQ876_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f7725]) ).
fof(f7729,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| p305(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7660,f237]) ).
fof(f7750,plain,
( ~ sQ878_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f7726]) ).
fof(f7752,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| p305(sK50_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f7660,f237]) ).
fof(f7773,plain,
! [X0] :
( ~ sQ591_spl
| ~ sP5_prd(sK44_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3552,f166]) ).
fof(f7774,plain,
( ~ sQ590_spl
| ~ sQ591_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3549,f7773]) ).
fof(f7775,plain,
( ~ sQ590_spl
| ~ sQ591_spl ),
inference(contradiction_clause,[status(thm)],[f7774]) ).
fof(f7776,plain,
! [X0] :
( ~ sQ576_spl
| ~ sP5_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3483,f166]) ).
fof(f7777,plain,
( ~ sQ575_spl
| ~ sQ576_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3480,f7776]) ).
fof(f7778,plain,
( ~ sQ575_spl
| ~ sQ576_spl ),
inference(contradiction_clause,[status(thm)],[f7777]) ).
fof(f7779,plain,
! [X0] :
( ~ sQ561_spl
| ~ sP5_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f3415,f166]) ).
fof(f7780,plain,
( ~ sQ560_spl
| ~ sQ561_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3412,f7779]) ).
fof(f7781,plain,
( ~ sQ560_spl
| ~ sQ561_spl ),
inference(contradiction_clause,[status(thm)],[f7780]) ).
fof(f7782,plain,
( ~ sQ170_spl
| r1(sK51_skl,sK30_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1258,f150]) ).
fof(f7783,plain,
( ~ sQ170_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f7782,f652,f1257]) ).
fof(f7784,plain,
( ~ sQ219_spl
| ~ sQ220_spl ),
inference(contradiction_clause,[status(thm)],[f4116]) ).
fof(f7798,plain,
( ~ sQ172_spl
| r1(sK51_skl,sK25_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1265,f150]) ).
fof(f7799,plain,
( ~ sQ172_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f7798,f613,f1264]) ).
fof(f7800,plain,
( ~ sQ221_spl
| ~ sQ222_spl ),
inference(contradiction_clause,[status(thm)],[f4111]) ).
fof(f7801,plain,
( ~ sQ174_spl
| r1(sK51_skl,sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1272,f150]) ).
fof(f7802,plain,
( ~ sQ174_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f7801,f580,f1271]) ).
fof(f7829,plain,
( ~ sQ176_spl
| r1(sK51_skl,sK13_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1279,f150]) ).
fof(f7830,plain,
( ~ sQ176_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f7829,f466,f1278]) ).
fof(f7831,plain,
( ~ sQ225_spl
| ~ sQ226_spl ),
inference(contradiction_clause,[status(thm)],[f4099]) ).
fof(f7835,plain,
( ~ sQ178_spl
| r1(sK51_skl,sK7_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1286,f150]) ).
fof(f7836,plain,
( ~ sQ178_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f7835,f363,f1285]) ).
fof(f7837,plain,
( ~ sQ227_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f4094]) ).
fof(f7838,plain,
! [X0] :
( ~ sQ702_spl
| ~ sP7_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5772,f176]) ).
fof(f7839,plain,
! [X0] :
( ~ sQ702_spl
| ~ sP6_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5772,f171]) ).
fof(f7840,plain,
( ~ sQ701_spl
| ~ sQ702_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5769,f7838]) ).
fof(f7841,plain,
( ~ sQ703_spl
| ~ sQ702_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5776,f7839]) ).
fof(f7842,plain,
( ~ sQ701_spl
| ~ sQ702_spl ),
inference(contradiction_clause,[status(thm)],[f7840]) ).
fof(f7843,plain,
( ~ sQ566_spl
| ~ sQ563_spl ),
inference(contradiction_clause,[status(thm)],[f5839]) ).
fof(f7844,plain,
( ~ sQ703_spl
| ~ sQ702_spl ),
inference(contradiction_clause,[status(thm)],[f7841]) ).
fof(f7845,plain,
( ~ sQ62_spl
| ~ sQ15_spl
| sQ563_spl ),
inference(split_clause,[status(thm)],[f5488,f3421,f236,f687]) ).
fof(f7847,plain,
( ~ sQ15_spl
| ~ sQ63_spl
| p305(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f691,f237]) ).
fof(f7868,plain,
! [X0] :
( ~ sQ705_spl
| ~ sP5_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5783,f166]) ).
fof(f7869,plain,
( ~ sQ704_spl
| ~ sQ705_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5780,f7868]) ).
fof(f7870,plain,
( ~ sQ704_spl
| ~ sQ705_spl ),
inference(contradiction_clause,[status(thm)],[f7869]) ).
fof(f7871,plain,
! [X0] :
( ~ sQ698_spl
| ~ sP9_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5758,f186]) ).
fof(f7872,plain,
( ~ sQ697_spl
| ~ sQ698_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5755,f7871]) ).
fof(f7873,plain,
( ~ sQ697_spl
| ~ sQ698_spl ),
inference(contradiction_clause,[status(thm)],[f7872]) ).
fof(f7874,plain,
! [X0] :
( ~ sQ700_spl
| ~ sP8_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5765,f181]) ).
fof(f7875,plain,
( ~ sQ699_spl
| ~ sQ700_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5762,f7874]) ).
fof(f7876,plain,
( ~ sQ699_spl
| ~ sQ700_spl ),
inference(contradiction_clause,[status(thm)],[f7875]) ).
fof(f7877,plain,
! [X0] :
( ~ sQ707_spl
| ~ sP4_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5790,f161]) ).
fof(f7878,plain,
! [X0] :
( ~ sQ707_spl
| ~ sP2_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5790,f151]) ).
fof(f7879,plain,
( ~ sQ706_spl
| ~ sQ707_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5787,f7877]) ).
fof(f7880,plain,
( ~ sQ709_spl
| ~ sQ707_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5798,f7878]) ).
fof(f7881,plain,
( ~ sQ706_spl
| ~ sQ707_spl ),
inference(contradiction_clause,[status(thm)],[f7879]) ).
fof(f7882,plain,
( ~ sQ709_spl
| ~ sQ707_spl ),
inference(contradiction_clause,[status(thm)],[f7880]) ).
fof(f7883,plain,
( ~ sQ15_spl
| ~ sQ63_spl
| sQ707_spl ),
inference(split_clause,[status(thm)],[f7847,f5789,f690,f236]) ).
fof(f7887,plain,
! [X0] :
( ~ sQ716_spl
| ~ sP7_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5886,f176]) ).
fof(f7888,plain,
! [X0] :
( ~ sQ716_spl
| ~ sP6_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5886,f171]) ).
fof(f7889,plain,
( ~ sQ715_spl
| ~ sQ716_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5883,f7887]) ).
fof(f7890,plain,
( ~ sQ717_spl
| ~ sQ716_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5890,f7888]) ).
fof(f7891,plain,
( ~ sQ715_spl
| ~ sQ716_spl ),
inference(contradiction_clause,[status(thm)],[f7889]) ).
fof(f7892,plain,
( ~ sQ574_spl
| ~ sQ573_spl ),
inference(contradiction_clause,[status(thm)],[f6149]) ).
fof(f7893,plain,
( ~ sQ717_spl
| ~ sQ716_spl ),
inference(contradiction_clause,[status(thm)],[f7890]) ).
fof(f7894,plain,
( ~ sQ581_spl
| ~ sQ578_spl ),
inference(contradiction_clause,[status(thm)],[f5953]) ).
fof(f7917,plain,
! [X0] :
( ~ sQ719_spl
| ~ sP5_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5897,f166]) ).
fof(f7918,plain,
( ~ sQ718_spl
| ~ sQ719_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5894,f7917]) ).
fof(f7919,plain,
( ~ sQ718_spl
| ~ sQ719_spl ),
inference(contradiction_clause,[status(thm)],[f7918]) ).
fof(f7920,plain,
( ~ sQ68_spl
| ~ sQ15_spl
| sQ578_spl ),
inference(split_clause,[status(thm)],[f5487,f3489,f236,f757]) ).
fof(f7922,plain,
( ~ sQ15_spl
| ~ sQ69_spl
| p305(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f761,f237]) ).
fof(f7943,plain,
! [X0] :
( ~ sQ712_spl
| ~ sP9_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5872,f186]) ).
fof(f7944,plain,
( ~ sQ711_spl
| ~ sQ712_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5869,f7943]) ).
fof(f7945,plain,
( ~ sQ711_spl
| ~ sQ712_spl ),
inference(contradiction_clause,[status(thm)],[f7944]) ).
fof(f7946,plain,
! [X0] :
( ~ sQ714_spl
| ~ sP8_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5879,f181]) ).
fof(f7947,plain,
( ~ sQ713_spl
| ~ sQ714_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5876,f7946]) ).
fof(f7948,plain,
( ~ sQ713_spl
| ~ sQ714_spl ),
inference(contradiction_clause,[status(thm)],[f7947]) ).
fof(f7949,plain,
! [X0] :
( ~ sQ721_spl
| ~ sP4_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5904,f161]) ).
fof(f7950,plain,
! [X0] :
( ~ sQ721_spl
| ~ sP2_prd(sK35_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5904,f151]) ).
fof(f7951,plain,
( ~ sQ720_spl
| ~ sQ721_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5901,f7949]) ).
fof(f7952,plain,
( ~ sQ723_spl
| ~ sQ721_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5912,f7950]) ).
fof(f7953,plain,
( ~ sQ720_spl
| ~ sQ721_spl ),
inference(contradiction_clause,[status(thm)],[f7951]) ).
fof(f7954,plain,
( ~ sQ723_spl
| ~ sQ721_spl ),
inference(contradiction_clause,[status(thm)],[f7952]) ).
fof(f7955,plain,
( ~ sQ15_spl
| ~ sQ69_spl
| sQ721_spl ),
inference(split_clause,[status(thm)],[f7922,f5903,f760,f236]) ).
fof(f7960,plain,
( ~ sQ180_spl
| r1(sK51_skl,sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1293,f150]) ).
fof(f7961,plain,
( ~ sQ180_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f7960,f297,f1292]) ).
fof(f7962,plain,
! [X0] :
( ~ sQ730_spl
| ~ sP7_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5997,f176]) ).
fof(f7963,plain,
! [X0] :
( ~ sQ730_spl
| ~ sP6_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5997,f171]) ).
fof(f7964,plain,
( ~ sQ729_spl
| ~ sQ730_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5994,f7962]) ).
fof(f7965,plain,
( ~ sQ731_spl
| ~ sQ730_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6001,f7963]) ).
fof(f7966,plain,
( ~ sQ729_spl
| ~ sQ730_spl ),
inference(contradiction_clause,[status(thm)],[f7964]) ).
fof(f7967,plain,
( ~ sQ589_spl
| ~ sQ588_spl ),
inference(contradiction_clause,[status(thm)],[f6144]) ).
fof(f7968,plain,
( ~ sQ731_spl
| ~ sQ730_spl ),
inference(contradiction_clause,[status(thm)],[f7965]) ).
fof(f7969,plain,
( ~ sQ596_spl
| ~ sQ593_spl ),
inference(contradiction_clause,[status(thm)],[f6064]) ).
fof(f7992,plain,
! [X0] :
( ~ sQ733_spl
| ~ sP5_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f6008,f166]) ).
fof(f7993,plain,
( ~ sQ732_spl
| ~ sQ733_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6005,f7992]) ).
fof(f7994,plain,
( ~ sQ732_spl
| ~ sQ733_spl ),
inference(contradiction_clause,[status(thm)],[f7993]) ).
fof(f7995,plain,
( ~ sQ76_spl
| ~ sQ15_spl
| sQ593_spl ),
inference(split_clause,[status(thm)],[f5486,f3558,f236,f837]) ).
fof(f7997,plain,
( ~ sQ15_spl
| ~ sQ77_spl
| p305(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f841,f237]) ).
fof(f8018,plain,
! [X0] :
( ~ sQ726_spl
| ~ sP9_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5983,f186]) ).
fof(f8019,plain,
( ~ sQ725_spl
| ~ sQ726_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5980,f8018]) ).
fof(f8020,plain,
( ~ sQ725_spl
| ~ sQ726_spl ),
inference(contradiction_clause,[status(thm)],[f8019]) ).
fof(f8021,plain,
! [X0] :
( ~ sQ728_spl
| ~ sP8_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5990,f181]) ).
fof(f8022,plain,
( ~ sQ727_spl
| ~ sQ728_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f5987,f8021]) ).
fof(f8023,plain,
( ~ sQ727_spl
| ~ sQ728_spl ),
inference(contradiction_clause,[status(thm)],[f8022]) ).
fof(f8024,plain,
! [X0] :
( ~ sQ735_spl
| ~ sP4_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f6015,f161]) ).
fof(f8025,plain,
! [X0] :
( ~ sQ735_spl
| ~ sP2_prd(sK45_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f6015,f151]) ).
fof(f8026,plain,
( ~ sQ734_spl
| ~ sQ735_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6012,f8024]) ).
fof(f8027,plain,
( ~ sQ737_spl
| ~ sQ735_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6023,f8025]) ).
fof(f8028,plain,
( ~ sQ734_spl
| ~ sQ735_spl ),
inference(contradiction_clause,[status(thm)],[f8026]) ).
fof(f8029,plain,
( ~ sQ737_spl
| ~ sQ735_spl ),
inference(contradiction_clause,[status(thm)],[f8027]) ).
fof(f8030,plain,
( ~ sQ15_spl
| ~ sQ77_spl
| sQ735_spl ),
inference(split_clause,[status(thm)],[f7997,f6014,f840,f236]) ).
fof(f8035,plain,
( ~ sQ231_spl
| r1(sK51_skl,sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1533,f170]) ).
fof(f8036,plain,
( ~ sQ231_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f8035,f286,f1532]) ).
fof(f8043,plain,
( ~ sQ229_spl
| r1(sK51_skl,sK3_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1526,f170]) ).
fof(f8044,plain,
( ~ sQ229_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f8043,f297,f1525]) ).
fof(f8045,plain,
( ~ sQ223_spl
| r1(sK51_skl,sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1505,f170]) ).
fof(f8046,plain,
( ~ sQ287_spl
| r1(sK51_skl,sK4_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1806,f150]) ).
fof(f8047,plain,
( ~ sQ287_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f8046,f302,f1805]) ).
fof(f8048,plain,
( ~ sQ301_spl
| r1(sK51_skl,sK8_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1875,f150]) ).
fof(f8049,plain,
( ~ sQ301_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f8048,f404,f1874]) ).
fof(f8050,plain,
( ~ sQ295_spl
| ~ sQ294_spl ),
inference(contradiction_clause,[status(thm)],[f4682]) ).
fof(f8051,plain,
( ~ sQ315_spl
| r1(sK51_skl,sK14_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1945,f150]) ).
fof(f8052,plain,
( ~ sQ315_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f8051,f514,f1944]) ).
fof(f8053,plain,
( ~ sQ309_spl
| ~ sQ308_spl ),
inference(contradiction_clause,[status(thm)],[f4690]) ).
fof(f8058,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| ~ p603(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f754,f87]) ).
fof(f8059,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| ~ sQ2_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f8058,f1320,f194,f746,f274]) ).
fof(f8070,plain,
( ~ sQ34_spl
| ~ sQ25_spl
| p105(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f269,f1672]) ).
fof(f8074,plain,
( ~ sQ498_spl
| r1(sK51_skl,sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2984,f185]) ).
fof(f8075,plain,
( ~ sQ512_spl
| r1(sK51_skl,sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3048,f185]) ).
fof(f8077,plain,
( ~ sQ526_spl
| r1(sK51_skl,sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3162,f185]) ).
fof(f8089,plain,
( ~ sQ502_spl
| r1(sK51_skl,sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2998,f175]) ).
fof(f8090,plain,
( ~ sQ504_spl
| r1(sK51_skl,sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3005,f170]) ).
fof(f8106,plain,
( ~ sQ516_spl
| r1(sK51_skl,sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3062,f175]) ).
fof(f8107,plain,
( ~ sQ518_spl
| r1(sK51_skl,sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3069,f170]) ).
fof(f8108,plain,
( ~ sQ530_spl
| r1(sK51_skl,sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3176,f175]) ).
fof(f8112,plain,
( ~ sQ532_spl
| r1(sK51_skl,sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3183,f170]) ).
fof(f8127,plain,
( ~ sQ136_spl
| r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1110,f140]) ).
fof(f8128,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sP4_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f590,f161]) ).
fof(f8129,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sP2_prd(sK22_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f590,f151]) ).
fof(f8130,plain,
( ~ sQ652_spl
| r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4952,f155]) ).
fof(f8131,plain,
( ~ sQ654_spl
| r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4960,f145]) ).
fof(f8136,plain,
( ~ sQ619_spl
| r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4476,f170]) ).
fof(f8137,plain,
( ~ sQ144_spl
| r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1138,f140]) ).
fof(f8140,plain,
( ~ sQ624_spl
| r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4494,f155]) ).
fof(f8141,plain,
( ~ sQ626_spl
| r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4502,f145]) ).
fof(f8142,plain,
( ~ sQ617_spl
| r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4469,f175]) ).
fof(f8143,plain,
( ~ sQ613_spl
| r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4455,f185]) ).
fof(f8144,plain,
( ~ sQ25_spl
| ~ sQ49_spl
| sP5_prd(sK19_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f575,f44]) ).
fof(f8145,plain,
( ~ sQ25_spl
| ~ sQ49_spl
| sQ48_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f8144,f1320,f561,f564,f268]) ).
fof(f8146,plain,
( ~ sQ63_spl
| ~ sQ21_spl
| sQ700_spl ),
inference(split_clause,[status(thm)],[f6415,f5764,f255,f690]) ).
fof(f8147,plain,
( ~ sQ69_spl
| ~ sQ21_spl
| sQ714_spl ),
inference(split_clause,[status(thm)],[f6414,f5878,f255,f760]) ).
fof(f8148,plain,
( ~ sQ77_spl
| ~ sQ21_spl
| sQ728_spl ),
inference(split_clause,[status(thm)],[f6413,f5989,f255,f840]) ).
fof(f8167,plain,
( ~ sQ62_spl
| ~ sQ21_spl
| sQ557_spl ),
inference(split_clause,[status(thm)],[f5706,f3399,f255,f687]) ).
fof(f8172,plain,
( ~ sQ76_spl
| ~ sQ21_spl
| sQ586_spl ),
inference(split_clause,[status(thm)],[f5704,f3533,f255,f837]) ).
fof(f8177,plain,
( ~ sQ51_spl
| ~ sQ21_spl
| p204(sK22_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f581]) ).
fof(f8178,plain,
( ~ sQ49_spl
| ~ sQ21_spl
| p204(sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f565]) ).
fof(f8179,plain,
( ~ sQ47_spl
| ~ sQ21_spl
| p204(sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f551]) ).
fof(f8180,plain,
( ~ sQ41_spl
| ~ sQ21_spl
| p204(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f434]) ).
fof(f8181,plain,
( ~ sQ39_spl
| ~ sQ21_spl
| p204(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f426]) ).
fof(f8182,plain,
( ~ sQ45_spl
| ~ sQ21_spl
| p204(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f523]) ).
fof(f8183,plain,
( ~ sQ34_spl
| ~ sQ21_spl
| p204(sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f1672]) ).
fof(f8184,plain,
( ~ sQ67_spl
| ~ sQ21_spl
| p204(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f747]) ).
fof(f8185,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| p204(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f675]) ).
fof(f8186,plain,
( ~ sQ74_spl
| ~ sQ21_spl
| p204(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f256,f816]) ).
fof(f8187,plain,
( ~ sQ51_spl
| ~ sQ21_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f8177,f1619,f255,f580]) ).
fof(f8188,plain,
( ~ sQ21_spl
| ~ sQ60_spl
| p204(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2663,f256]) ).
fof(f8189,plain,
( ~ sQ15_spl
| ~ sQ60_spl
| p305(sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2663,f237]) ).
fof(f8210,plain,
( ~ sQ21_spl
| ~ sQ62_spl
| p204(sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3263,f256]) ).
fof(f8211,plain,
( ~ sQ15_spl
| ~ sQ62_spl
| p305(sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3263,f237]) ).
fof(f8233,plain,
( ~ sQ15_spl
| ~ sQ68_spl
| p305(sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3264,f237]) ).
fof(f8255,plain,
( ~ sQ21_spl
| ~ sQ76_spl
| p204(sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3512,f256]) ).
fof(f8256,plain,
( ~ sQ15_spl
| ~ sQ76_spl
| p305(sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3512,f237]) ).
fof(f8280,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ21_spl
| ~ sP8_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f5474,f181]) ).
fof(f8281,plain,
( ~ sQ68_spl
| ~ sQ21_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f758,f8280]) ).
fof(f8282,plain,
( ~ sQ68_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f8281]) ).
fof(f8283,plain,
( ~ sQ21_spl
| ~ sQ69_spl
| p204(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f761,f256]) ).
fof(f8284,plain,
( ~ sQ15_spl
| ~ sQ69_spl
| p305(sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f761,f237]) ).
fof(f8316,plain,
( ~ sQ620_spl
| r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4480,f165]) ).
fof(f8317,plain,
( ~ sQ633_spl
| r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4825,f170]) ).
fof(f8318,plain,
( ~ sQ142_spl
| r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1131,f140]) ).
fof(f8319,plain,
( ~ sQ638_spl
| r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4843,f155]) ).
fof(f8320,plain,
( ~ sQ640_spl
| r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4851,f145]) ).
fof(f8321,plain,
( ~ sQ631_spl
| r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4818,f175]) ).
fof(f8322,plain,
( ~ sQ627_spl
| r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4804,f185]) ).
fof(f8323,plain,
( ~ sQ634_spl
| r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4829,f165]) ).
fof(f8324,plain,
( ~ sQ645_spl
| r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4927,f175]) ).
fof(f8325,plain,
( ~ sQ647_spl
| r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4934,f170]) ).
fof(f8326,plain,
( ~ sQ641_spl
| r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4913,f185]) ).
fof(f8327,plain,
( ~ sQ648_spl
| r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f4938,f165]) ).
fof(f8328,plain,
( ~ sQ359_spl
| r1(sK51_skl,sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2178,f185]) ).
fof(f8329,plain,
( ~ sQ370_spl
| r1(sK51_skl,sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2217,f155]) ).
fof(f8330,plain,
( ~ sQ373_spl
| r1(sK51_skl,sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2228,f145]) ).
fof(f8331,plain,
( ~ sQ661_spl
| r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5117,f170]) ).
fof(f8332,plain,
( ~ sQ134_spl
| r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1103,f140]) ).
fof(f8333,plain,
( ~ sQ666_spl
| r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5135,f155]) ).
fof(f8334,plain,
( ~ sQ668_spl
| r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5143,f145]) ).
fof(f8335,plain,
( ~ sQ659_spl
| r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5110,f175]) ).
fof(f8336,plain,
( ~ sQ655_spl
| r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5096,f185]) ).
fof(f8337,plain,
( ~ sQ662_spl
| r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5121,f165]) ).
fof(f8338,plain,
( ~ sQ132_spl
| r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1096,f140]) ).
fof(f8339,plain,
( ~ sQ680_spl
| r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5246,f155]) ).
fof(f8340,plain,
( ~ sQ682_spl
| r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5254,f145]) ).
fof(f8341,plain,
( ~ sQ673_spl
| r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5221,f175]) ).
fof(f8342,plain,
( ~ sQ675_spl
| r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5228,f170]) ).
fof(f8343,plain,
( ~ sQ669_spl
| r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5207,f185]) ).
fof(f8344,plain,
( ~ sQ676_spl
| r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5232,f165]) ).
fof(f8345,plain,
( ~ sQ477_spl
| r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2817,f185]) ).
fof(f8346,plain,
( ~ sQ481_spl
| r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2831,f175]) ).
fof(f8347,plain,
( ~ sQ483_spl
| r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2839,f165]) ).
fof(f8348,plain,
( ~ sQ487_spl
| r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2853,f155]) ).
fof(f8349,plain,
( ~ sQ490_spl
| r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2864,f145]) ).
fof(f8350,plain,
( ~ sQ491_spl
| r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f2868,f140]) ).
fof(f8351,plain,
( ~ sQ554_spl
| r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3390,f185]) ).
fof(f8352,plain,
( ~ sQ559_spl
| r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3408,f170]) ).
fof(f8353,plain,
( ~ sQ98_spl
| r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f977,f140]) ).
fof(f8354,plain,
( ~ sQ722_spl
| r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5908,f155]) ).
fof(f8355,plain,
( ~ sQ560_spl
| r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3412,f165]) ).
fof(f8356,plain,
( ~ sQ564_spl
| r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3426,f155]) ).
fof(f8357,plain,
( ~ sQ567_spl
| r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3437,f145]) ).
fof(f8358,plain,
( ~ sQ568_spl
| r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3441,f140]) ).
fof(f8359,plain,
( ~ sQ587_spl
| r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3538,f175]) ).
fof(f8360,plain,
( ~ sQ724_spl
| r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5916,f145]) ).
fof(f8361,plain,
( ~ sQ589_spl
| r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3545,f170]) ).
fof(f8362,plain,
( ~ sQ590_spl
| r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3549,f165]) ).
fof(f8363,plain,
( ~ sQ594_spl
| r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3563,f155]) ).
fof(f8364,plain,
( ~ sQ597_spl
| r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3574,f145]) ).
fof(f8365,plain,
( ~ sQ598_spl
| r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f3578,f140]) ).
fof(f8366,plain,
( ~ sQ711_spl
| r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5869,f185]) ).
fof(f8367,plain,
( ~ sQ715_spl
| r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5883,f175]) ).
fof(f8368,plain,
( ~ sQ717_spl
| r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5890,f170]) ).
fof(f8369,plain,
( ~ sQ718_spl
| r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f5894,f165]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| sQ21_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| ~ sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| sQ39_spl
| ~ sQ40_spl
| sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ56_spl
| ~ sQ57_spl
| sQ59_spl
| sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| sQ67_spl
| ~ sQ68_spl
| sQ69_spl
| ~ sQ70_spl
| ~ sQ73_spl
| sQ74_spl
| sQ76_spl
| ~ sQ77_spl
| ~ sQ80_spl
| sQ81_spl
| ~ sQ82_spl
| sQ83_spl
| ~ sQ85_spl
| ~ sQ86_spl
| sQ87_spl
| ~ sQ88_spl
| sQ89_spl
| ~ sQ91_spl
| ~ sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| sQ95_spl
| ~ sQ97_spl
| sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| sQ101_spl
| ~ sQ102_spl
| sQ103_spl
| ~ sQ104_spl
| sQ105_spl
| ~ sQ107_spl
| ~ sQ109_spl
| ~ sQ111_spl
| ~ sQ112_spl
| sQ113_spl
| ~ sQ114_spl
| sQ115_spl
| ~ sQ117_spl
| ~ sQ119_spl
| ~ sQ120_spl
| sQ121_spl
| ~ sQ123_spl
| ~ sQ125_spl
| ~ sQ126_spl
| sQ127_spl
| ~ sQ129_spl
| ~ sQ131_spl
| sQ132_spl
| ~ sQ133_spl
| sQ134_spl
| ~ sQ135_spl
| sQ136_spl
| ~ sQ137_spl
| ~ sQ139_spl
| ~ sQ141_spl
| sQ142_spl
| ~ sQ143_spl
| sQ144_spl
| ~ sQ145_spl
| ~ sQ147_spl
| ~ sQ149_spl
| ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ155_spl
| ~ sQ156_spl
| ~ sQ157_spl
| ~ sQ159_spl
| sQ160_spl
| ~ sQ161_spl
| ~ sQ165_spl
| ~ sQ166_spl
| ~ sQ167_spl
| ~ sQ168_spl
| sQ169_spl
| ~ sQ170_spl
| ~ sQ171_spl
| ~ sQ172_spl
| ~ sQ173_spl
| ~ sQ174_spl
| ~ sQ175_spl
| ~ sQ176_spl
| ~ sQ177_spl
| ~ sQ178_spl
| ~ sQ179_spl
| ~ sQ180_spl
| ~ sQ181_spl
| ~ sQ183_spl
| sQ184_spl
| ~ sQ185_spl
| sQ186_spl
| sQ194_spl
| sQ202_spl
| ~ sQ204_spl
| ~ sQ206_spl
| ~ sQ208_spl
| ~ sQ210_spl
| ~ sQ212_spl
| ~ sQ214_spl
| ~ sQ216_spl
| sQ217_spl
| ~ sQ218_spl
| ~ sQ220_spl
| ~ sQ222_spl
| ~ sQ224_spl
| ~ sQ226_spl
| ~ sQ228_spl
| ~ sQ229_spl
| ~ sQ230_spl
| ~ sQ231_spl
| ~ sQ232_spl
| sQ233_spl
| ~ sQ234_spl
| sQ242_spl
| ~ sQ244_spl
| ~ sQ246_spl
| ~ sQ248_spl
| ~ sQ250_spl
| ~ sQ252_spl
| ~ sQ254_spl
| ~ sQ256_spl
| sQ257_spl
| ~ sQ258_spl
| sQ259_spl
| ~ sQ260_spl
| ~ sQ262_spl
| ~ sQ264_spl
| ~ sQ266_spl
| ~ sQ269_spl
| ~ sQ271_spl
| ~ sQ274_spl
| ~ sQ276_spl
| ~ sQ278_spl
| ~ sQ280_spl
| ~ sQ283_spl
| ~ sQ285_spl
| ~ sQ287_spl
| ~ sQ288_spl
| ~ sQ290_spl
| ~ sQ292_spl
| ~ sQ294_spl
| ~ sQ297_spl
| ~ sQ299_spl
| ~ sQ301_spl
| ~ sQ302_spl
| ~ sQ304_spl
| ~ sQ306_spl
| ~ sQ308_spl
| ~ sQ311_spl
| ~ sQ313_spl
| ~ sQ315_spl
| ~ sQ316_spl
| ~ sQ318_spl
| ~ sQ320_spl
| ~ sQ322_spl
| ~ sQ325_spl
| ~ sQ327_spl
| ~ sQ332_spl
| ~ sQ334_spl
| ~ sQ336_spl
| ~ sQ339_spl
| ~ sQ341_spl
| ~ sQ346_spl
| ~ sQ348_spl
| ~ sQ350_spl
| ~ sQ353_spl
| ~ sQ355_spl
| sQ359_spl
| ~ sQ360_spl
| ~ sQ361_spl
| sQ362_spl
| sQ364_spl
| ~ sQ365_spl
| ~ sQ366_spl
| sQ367_spl
| ~ sQ368_spl
| sQ369_spl
| sQ370_spl
| ~ sQ371_spl
| ~ sQ372_spl
| sQ373_spl
| ~ sQ375_spl
| ~ sQ377_spl
| ~ sQ379_spl
| ~ sQ382_spl
| ~ sQ384_spl
| ~ sQ386_spl
| ~ sQ390_spl
| ~ sQ392_spl
| ~ sQ394_spl
| ~ sQ397_spl
| ~ sQ399_spl
| ~ sQ404_spl
| ~ sQ406_spl
| ~ sQ408_spl
| ~ sQ411_spl
| ~ sQ413_spl
| ~ sQ418_spl
| ~ sQ420_spl
| ~ sQ422_spl
| ~ sQ425_spl
| ~ sQ427_spl
| ~ sQ429_spl
| ~ sQ433_spl
| ~ sQ435_spl
| ~ sQ437_spl
| ~ sQ440_spl
| ~ sQ442_spl
| ~ sQ443_spl
| ~ sQ448_spl
| ~ sQ450_spl
| ~ sQ452_spl
| ~ sQ455_spl
| ~ sQ456_spl
| ~ sQ458_spl
| ~ sQ463_spl
| ~ sQ465_spl
| ~ sQ467_spl
| ~ sQ471_spl
| ~ sQ473_spl
| sQ477_spl
| ~ sQ478_spl
| ~ sQ479_spl
| sQ480_spl
| sQ481_spl
| ~ sQ482_spl
| sQ483_spl
| ~ sQ484_spl
| ~ sQ485_spl
| sQ486_spl
| sQ487_spl
| ~ sQ488_spl
| ~ sQ489_spl
| sQ490_spl
| sQ491_spl
| ~ sQ495_spl
| ~ sQ497_spl
| sQ498_spl
| ~ sQ499_spl
| ~ sQ500_spl
| sQ501_spl
| sQ502_spl
| ~ sQ503_spl
| sQ504_spl
| ~ sQ505_spl
| sQ506_spl
| ~ sQ507_spl
| sQ508_spl
| ~ sQ509_spl
| ~ sQ510_spl
| ~ sQ511_spl
| sQ512_spl
| ~ sQ513_spl
| ~ sQ514_spl
| sQ515_spl
| sQ516_spl
| ~ sQ517_spl
| sQ518_spl
| ~ sQ519_spl
| sQ520_spl
| ~ sQ521_spl
| sQ522_spl
| ~ sQ523_spl
| ~ sQ524_spl
| ~ sQ525_spl
| sQ526_spl
| ~ sQ527_spl
| ~ sQ528_spl
| sQ529_spl
| sQ530_spl
| ~ sQ531_spl
| sQ532_spl
| ~ sQ533_spl
| sQ534_spl
| ~ sQ535_spl
| sQ536_spl
| ~ sQ537_spl
| ~ sQ538_spl
| ~ sQ539_spl
| ~ sQ541_spl
| ~ sQ543_spl
| ~ sQ545_spl
| ~ sQ548_spl
| ~ sQ550_spl
| sQ554_spl
| ~ sQ555_spl
| ~ sQ556_spl
| sQ557_spl
| ~ sQ558_spl
| sQ559_spl
| sQ560_spl
| ~ sQ561_spl
| ~ sQ562_spl
| sQ563_spl
| sQ564_spl
| ~ sQ565_spl
| ~ sQ566_spl
| sQ567_spl
| sQ568_spl
| ~ sQ570_spl
| ~ sQ573_spl
| ~ sQ576_spl
| ~ sQ578_spl
| ~ sQ580_spl
| ~ sQ585_spl
| sQ586_spl
| sQ587_spl
| ~ sQ588_spl
| sQ589_spl
| sQ590_spl
| ~ sQ591_spl
| ~ sQ592_spl
| sQ593_spl
| sQ594_spl
| ~ sQ595_spl
| ~ sQ596_spl
| sQ597_spl
| sQ598_spl
| ~ sQ600_spl
| ~ sQ602_spl
| ~ sQ604_spl
| ~ sQ607_spl
| ~ sQ609_spl
| sQ613_spl
| ~ sQ614_spl
| ~ sQ615_spl
| sQ616_spl
| sQ617_spl
| ~ sQ618_spl
| sQ619_spl
| sQ620_spl
| ~ sQ621_spl
| ~ sQ622_spl
| sQ623_spl
| sQ624_spl
| ~ sQ625_spl
| sQ626_spl
| sQ627_spl
| ~ sQ628_spl
| ~ sQ629_spl
| sQ630_spl
| sQ631_spl
| ~ sQ632_spl
| sQ633_spl
| sQ634_spl
| ~ sQ635_spl
| ~ sQ636_spl
| sQ637_spl
| sQ638_spl
| ~ sQ639_spl
| sQ640_spl
| sQ641_spl
| ~ sQ642_spl
| ~ sQ643_spl
| sQ644_spl
| sQ645_spl
| ~ sQ646_spl
| sQ647_spl
| sQ648_spl
| ~ sQ649_spl
| ~ sQ650_spl
| sQ651_spl
| sQ652_spl
| ~ sQ653_spl
| sQ654_spl
| sQ655_spl
| ~ sQ656_spl
| ~ sQ657_spl
| sQ658_spl
| sQ659_spl
| ~ sQ660_spl
| sQ661_spl
| sQ662_spl
| ~ sQ663_spl
| ~ sQ664_spl
| sQ665_spl
| sQ666_spl
| ~ sQ667_spl
| sQ668_spl
| sQ669_spl
| ~ sQ670_spl
| ~ sQ671_spl
| sQ672_spl
| sQ673_spl
| ~ sQ674_spl
| sQ675_spl
| sQ676_spl
| ~ sQ677_spl
| ~ sQ678_spl
| sQ679_spl
| sQ680_spl
| ~ sQ681_spl
| sQ682_spl
| ~ sQ684_spl
| ~ sQ686_spl
| ~ sQ688_spl
| ~ sQ691_spl
| ~ sQ693_spl
| ~ sQ698_spl
| ~ sQ700_spl
| ~ sQ702_spl
| ~ sQ705_spl
| ~ sQ707_spl
| sQ711_spl
| ~ sQ712_spl
| ~ sQ713_spl
| sQ714_spl
| sQ715_spl
| ~ sQ716_spl
| sQ717_spl
| sQ718_spl
| ~ sQ719_spl
| ~ sQ720_spl
| sQ721_spl
| sQ722_spl
| ~ sQ723_spl
| sQ724_spl
| ~ sQ726_spl
| ~ sQ728_spl
| ~ sQ730_spl
| ~ sQ733_spl
| ~ sQ735_spl
| ~ sQ750_spl
| ~ sQ752_spl
| ~ sQ764_spl
| ~ sQ766_spl
| ~ sQ778_spl
| ~ sQ780_spl
| ~ sQ792_spl
| ~ sQ794_spl
| ~ sQ806_spl
| ~ sQ808_spl
| ~ sQ820_spl
| ~ sQ822_spl
| ~ sQ834_spl
| ~ sQ836_spl
| ~ sQ848_spl
| ~ sQ850_spl
| ~ sQ862_spl
| ~ sQ864_spl
| ~ sQ876_spl
| ~ sQ878_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL649+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.49 % Computer : n010.cluster.edu
% 0.16/10.49 % Model : x86_64 x86_64
% 0.16/10.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.49 % Memory : 8046.5625MB
% 0.16/10.49 % OS : Linux 6.8.0-71-generic
% 0.16/10.49 % CPULimit : 300
% 0.16/10.49 % WCLimit : 300
% 0.16/10.49 % DateTime : Mon Sep 21 00:45:35 UTC 2026
% 0.21/10.50 % CPUTime :
% 0.21/10.51 % Drodi V4.1.1
% 7.74/11.59 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 7.74/11.59 % SZS output start Saturation for theBenchmark
% See solution above
% 0.82/11.64 % Elapsed time: 1.133518 seconds
% 0.82/11.64 % CPU time: 8.507646 seconds
% 0.82/11.64 % Total memory used: 95.272 MB
% 0.82/11.64 % Net memory used: 94.047 MB
%------------------------------------------------------------------------------