%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL648+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:08:20 PM UTC 2026
% Result : Theorem 4.83s 1.19s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 133
% Syntax : Number of formulae : 861 ( 3 unt; 132 def)
% Number of atoms : 3650 ( 0 equ)
% Maximal formula atoms : 242 ( 4 avg)
% Number of connectives : 4998 (2209 ~;2074 |; 583 &)
% ( 132 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 85 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 164 ( 163 usr; 123 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 2 con; 0-1 aty)
% Number of variables : 640 ( 534 !; 106 ?)
% 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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(f264,definition,
( sQ24_spl
<=> p201(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
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(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(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,sK6_skl(sK51_skl))
| sP0_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f25,f131]) ).
fof(f292,definition,
( sQ31_spl
<=> sP0_prd(sK5_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ31_spl
| sP0_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ31_spl
| ~ sP0_prd(sK5_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ32_spl
<=> r1(sK51_skl,sK6_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ32_spl
| r1(sK51_skl,sK6_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,plain,
( sQ32_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f291,f292,f295]) ).
fof(f299,plain,
( ~ sQ10_spl
| ~ sQ30_spl
| p405(sK1_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f287,f221]) ).
fof(f309,plain,
( ~ sQ10_spl
| ~ sQ30_spl
| ~ p605(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f299,f18]) ).
fof(f313,definition,
( sQ33_spl
<=> r1(sK0_skl,sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( sQ33_spl
| ~ r1(sK0_skl,sK51_skl) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( ~ sQ10_spl
| ~ sQ30_spl
| ~ sQ0_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f309,f313,f188,f286,f220]) ).
fof(f317,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f131]) ).
fof(f318,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( ~ sQ31_spl
| r1(sK51_skl,sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f293,f140]) ).
fof(f320,plain,
( ~ sQ15_spl
| ~ sQ32_spl
| p305(sK6_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f296,f237]) ).
fof(f329,plain,
( ~ sQ15_spl
| ~ sQ32_spl
| sP0_prd(sK5_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f320,f26]) ).
fof(f332,plain,
( ~ sQ15_spl
| ~ sQ32_spl
| sQ31_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f329,f313,f292,f295,f236]) ).
fof(f346,plain,
( ~ p404(sK51_skl)
| ~ p504(sK51_skl) ),
inference(resolution,[status(thm)],[f47,f131]) ).
fof(f347,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f346,f207,f223]) ).
fof(f348,plain,
( ~ p403(sK51_skl)
| ~ p503(sK51_skl) ),
inference(resolution,[status(thm)],[f74,f131]) ).
fof(f349,plain,
( ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f348,f210,f226]) ).
fof(f350,plain,
( r1(sK51_skl,sK10_skl(sK51_skl))
| sP1_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f31,f131]) ).
fof(f351,definition,
( sQ34_spl
<=> sP1_prd(sK9_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ34_spl
| sP1_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ34_spl
| ~ sP1_prd(sK9_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ35_spl
<=> r1(sK51_skl,sK10_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ35_spl
| r1(sK51_skl,sK10_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f350,f351,f354]) ).
fof(f358,plain,
( r1(sK51_skl,sK12_skl(sK51_skl))
| sP2_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f33,f131]) ).
fof(f359,definition,
( sQ36_spl
<=> sP2_prd(sK11_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ36_spl
| sP2_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f361,plain,
( sQ36_spl
| ~ sP2_prd(sK11_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ37_spl
<=> r1(sK51_skl,sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ37_spl
| r1(sK51_skl,sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f358,f359,f362]) ).
fof(f366,plain,
( ~ sQ34_spl
| r1(sK51_skl,sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f352,f145]) ).
fof(f368,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| p205(sK10_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f355,f253]) ).
fof(f377,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| sP1_prd(sK9_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f368,f32]) ).
fof(f379,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f377,f313,f351,f354,f252]) ).
fof(f380,plain,
( ~ sQ36_spl
| r1(sK51_skl,sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f360,f150]) ).
fof(f381,plain,
( ~ sQ16_spl
| ~ sQ37_spl
| p304(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f363,f240]) ).
fof(f382,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| p204(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f363,f256]) ).
fof(f383,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| p203(sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f363,f259]) ).
fof(f388,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ37_spl
| ~ sP7_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f381,f176]) ).
fof(f390,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ37_spl
| ~ sP8_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f382,f181]) ).
fof(f391,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| ~ sP9_prd(sK12_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f383,f186]) ).
fof(f392,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| p304(sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f366,f240]) ).
fof(f399,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| ~ sP7_prd(sK9_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f392,f176]) ).
fof(f404,plain,
( ~ sQ21_spl
| ~ sQ36_spl
| p204(sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f380,f256]) ).
fof(f412,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ36_spl
| ~ sP8_prd(sK11_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f404,f181]) ).
fof(f413,plain,
( r1(sK51_skl,sK16_skl(sK51_skl))
| sP3_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f39,f131]) ).
fof(f414,definition,
( sQ38_spl
<=> sP3_prd(sK15_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ38_spl
| sP3_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ38_spl
| ~ sP3_prd(sK15_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ39_spl
<=> r1(sK51_skl,sK16_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ39_spl
| r1(sK51_skl,sK16_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f413,f414,f417]) ).
fof(f422,plain,
( ~ sQ38_spl
| r1(sK51_skl,sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f415,f155]) ).
fof(f426,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| p105(sK16_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f418,f269]) ).
fof(f434,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| sP3_prd(sK15_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f426,f40]) ).
fof(f435,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| sQ38_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f434,f313,f414,f417,f268]) ).
fof(f442,plain,
( r1(sK51_skl,sK18_skl(sK51_skl))
| sP4_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f41,f131]) ).
fof(f443,definition,
( sQ40_spl
<=> sP4_prd(sK17_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ40_spl
| sP4_prd(sK17_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ41_spl
<=> r1(sK51_skl,sK18_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ41_spl
| r1(sK51_skl,sK18_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f442,f443,f446]) ).
fof(f454,plain,
( ~ sQ40_spl
| r1(sK51_skl,sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f444,f160]) ).
fof(f465,plain,
( r1(sK51_skl,sK20_skl(sK51_skl))
| sP5_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f43,f131]) ).
fof(f466,definition,
( sQ42_spl
<=> sP5_prd(sK19_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ42_spl
| sP5_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ42_spl
| ~ sP5_prd(sK19_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ43_spl
<=> r1(sK51_skl,sK20_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ43_spl
| r1(sK51_skl,sK20_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( sQ43_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f465,f466,f469]) ).
fof(f473,plain,
( ~ sQ16_spl
| ~ sQ40_spl
| p304(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f454,f240]) ).
fof(f474,plain,
( ~ sQ21_spl
| ~ sQ40_spl
| p204(sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f454,f256]) ).
fof(f479,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ40_spl
| ~ sP7_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f473,f176]) ).
fof(f481,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ40_spl
| ~ sP8_prd(sK17_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f474,f181]) ).
fof(f483,plain,
( ~ sQ42_spl
| r1(sK51_skl,sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f467,f165]) ).
fof(f495,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| p204(sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f483,f256]) ).
fof(f502,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| ~ sP8_prd(sK19_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f495,f181]) ).
fof(f504,plain,
( ~ p402(sK51_skl)
| ~ p502(sK51_skl) ),
inference(resolution,[status(thm)],[f98,f131]) ).
fof(f505,plain,
( ~ sQ13_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f504,f213,f229]) ).
fof(f506,plain,
( ~ p202(sK51_skl)
| ~ p302(sK51_skl) ),
inference(resolution,[status(thm)],[f105,f131]) ).
fof(f507,plain,
( ~ sQ23_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f506,f245,f261]) ).
fof(f508,plain,
( ~ p501(sK51_skl)
| ~ p601(sK51_skl) ),
inference(resolution,[status(thm)],[f116,f131]) ).
fof(f509,plain,
( ~ sQ9_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f508,f200,f216]) ).
fof(f510,plain,
( ~ sQ3_spl
| ~ p202(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f198,f102]) ).
fof(f511,plain,
( ~ sQ3_spl
| ~ p302(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f198,f99]) ).
fof(f512,plain,
( ~ sQ3_spl
| ~ p402(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f198,f97]) ).
fof(f513,plain,
( ~ sQ3_spl
| ~ p502(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f198,f96]) ).
fof(f514,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f510,f313,f261,f197]) ).
fof(f515,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f511,f313,f245,f197]) ).
fof(f516,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f512,f313,f229,f197]) ).
fof(f517,plain,
( ~ sQ3_spl
| ~ sQ8_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f513,f313,f213,f197]) ).
fof(f518,plain,
( ~ sQ5_spl
| r1(sK51_skl,sK14_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f205,f37]) ).
fof(f519,plain,
( ~ sQ5_spl
| r1(sK51_skl,sK8_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f205,f29]) ).
fof(f520,plain,
( ~ sQ5_spl
| r1(sK51_skl,sK4_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f205,f23]) ).
fof(f521,plain,
( ~ sQ5_spl
| r1(sK51_skl,sK2_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f205,f19]) ).
fof(f522,definition,
( sQ44_spl
<=> r1(sK51_skl,sK14_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ44_spl
| r1(sK51_skl,sK14_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( ~ sQ5_spl
| sQ44_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f518,f313,f522,f204]) ).
fof(f526,definition,
( sQ45_spl
<=> r1(sK51_skl,sK8_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ45_spl
| r1(sK51_skl,sK8_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ sQ5_spl
| sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f519,f313,f526,f204]) ).
fof(f530,definition,
( sQ46_spl
<=> r1(sK51_skl,sK4_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ46_spl
| r1(sK51_skl,sK4_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( ~ sQ5_spl
| sQ46_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f520,f313,f530,f204]) ).
fof(f534,definition,
( sQ47_spl
<=> r1(sK51_skl,sK2_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ47_spl
| r1(sK51_skl,sK2_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ sQ5_spl
| sQ47_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f521,f313,f534,f204]) ).
fof(f538,plain,
( ~ sQ1_spl
| r1(sK51_skl,sK24_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f192,f54]) ).
fof(f539,plain,
( ~ sQ1_spl
| r1(sK51_skl,sK21_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f192,f48]) ).
fof(f540,plain,
( ~ sQ1_spl
| ~ p404(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f192,f46]) ).
fof(f541,plain,
( ~ sQ1_spl
| ~ p504(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f192,f45]) ).
fof(f542,definition,
( sQ48_spl
<=> r1(sK51_skl,sK24_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ48_spl
| r1(sK51_skl,sK24_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( ~ sQ1_spl
| sQ48_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f538,f313,f542,f191]) ).
fof(f546,definition,
( sQ49_spl
<=> r1(sK51_skl,sK21_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ49_spl
| r1(sK51_skl,sK21_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( ~ sQ1_spl
| sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f539,f313,f546,f191]) ).
fof(f550,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f540,f313,f223,f191]) ).
fof(f551,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f541,f313,f207,f191]) ).
fof(f552,plain,
( ~ sQ6_spl
| r1(sK51_skl,sK25_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f208,f56]) ).
fof(f553,plain,
( ~ sQ6_spl
| r1(sK51_skl,sK22_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f208,f50]) ).
fof(f554,definition,
( sQ50_spl
<=> r1(sK51_skl,sK25_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ50_spl
| r1(sK51_skl,sK25_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( ~ sQ6_spl
| sQ50_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f552,f313,f554,f207]) ).
fof(f558,definition,
( sQ51_spl
<=> r1(sK51_skl,sK22_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ51_spl
| r1(sK51_skl,sK22_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( ~ sQ6_spl
| sQ51_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f553,f313,f558,f207]) ).
fof(f562,plain,
( ~ sQ0_spl
| r1(sK51_skl,sK13_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f189,f35]) ).
fof(f563,plain,
( ~ sQ0_spl
| r1(sK51_skl,sK7_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f189,f27]) ).
fof(f564,plain,
( ~ sQ0_spl
| r1(sK51_skl,sK3_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f189,f21]) ).
fof(f565,definition,
( sQ52_spl
<=> r1(sK51_skl,sK13_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( ~ sQ52_spl
| r1(sK51_skl,sK13_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( ~ sQ0_spl
| sQ52_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f562,f313,f565,f188]) ).
fof(f569,definition,
( sQ53_spl
<=> r1(sK51_skl,sK7_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ53_spl
| r1(sK51_skl,sK7_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ sQ0_spl
| sQ53_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f563,f313,f569,f188]) ).
fof(f573,definition,
( sQ54_spl
<=> r1(sK51_skl,sK3_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ54_spl
| r1(sK51_skl,sK3_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,plain,
( ~ sQ0_spl
| sQ54_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f564,f313,f573,f188]) ).
fof(f577,plain,
( r1(sK51_skl,sK28_skl(sK51_skl))
| sP6_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f60,f131]) ).
fof(f578,definition,
( sQ55_spl
<=> sP6_prd(sK27_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ55_spl
| sP6_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( sQ55_spl
| ~ sP6_prd(sK27_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ56_spl
<=> r1(sK51_skl,sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ56_spl
| r1(sK51_skl,sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f577,f578,f581]) ).
fof(f585,plain,
( ~ sQ7_spl
| ~ p303(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f211,f76]) ).
fof(f586,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f585,f313,f242,f210]) ).
fof(f587,plain,
( ~ sQ2_spl
| ~ p303(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f195,f75]) ).
fof(f588,plain,
( ~ sQ2_spl
| ~ p403(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f195,f73]) ).
fof(f589,plain,
( ~ sQ2_spl
| ~ p503(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f195,f72]) ).
fof(f590,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f587,f313,f242,f194]) ).
fof(f591,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f588,f313,f226,f194]) ).
fof(f592,plain,
( ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f589,f313,f210,f194]) ).
fof(f593,plain,
( ~ sQ8_spl
| ~ p202(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f214,f103]) ).
fof(f594,plain,
( ~ sQ8_spl
| ~ p302(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f214,f100]) ).
fof(f595,plain,
( ~ sQ8_spl
| ~ sQ23_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f593,f313,f261,f213]) ).
fof(f596,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f594,f313,f245,f213]) ).
fof(f637,plain,
( r1(sK51_skl,sK33_skl(sK51_skl))
| sP7_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f68,f131]) ).
fof(f638,definition,
( sQ57_spl
<=> sP7_prd(sK32_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ57_spl
| sP7_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f640,plain,
( sQ57_spl
| ~ sP7_prd(sK32_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ58_spl
<=> r1(sK51_skl,sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ58_spl
| r1(sK51_skl,sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f637,f638,f641]) ).
fof(f645,plain,
( ~ sQ16_spl
| ~ sQ49_spl
| p304(sK21_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f547,f240]) ).
fof(f651,plain,
( ~ sQ16_spl
| ~ sQ49_spl
| ~ p604(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f645,f49]) ).
fof(f654,plain,
( ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f651,f313,f191,f546,f239]) ).
fof(f655,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| p204(sK24_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f543,f256]) ).
fof(f660,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| ~ p604(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f655,f55]) ).
fof(f662,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f660,f313,f191,f542,f255]) ).
fof(f673,plain,
( r1(sK51_skl,sK35_skl(sK51_skl))
| sP8_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f70,f131]) ).
fof(f674,definition,
( sQ59_spl
<=> sP8_prd(sK34_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ59_spl
| sP8_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f676,plain,
( sQ59_spl
| ~ sP8_prd(sK34_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,definition,
( sQ60_spl
<=> r1(sK51_skl,sK35_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ60_spl
| r1(sK51_skl,sK35_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( sQ60_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f673,f674,f677]) ).
fof(f681,plain,
( r1(sK51_skl,sK36_skl(sK51_skl))
| ~ p603(sK51_skl) ),
inference(resolution,[status(thm)],[f78,f131]) ).
fof(f682,definition,
( sQ61_spl
<=> r1(sK51_skl,sK36_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ61_spl
| r1(sK51_skl,sK36_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,plain,
( sQ61_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f681,f194,f682]) ).
fof(f701,plain,
( ~ sQ55_spl
| r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f579,f170]) ).
fof(f707,plain,
( ~ sQ57_spl
| r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f639,f175]) ).
fof(f709,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| p104(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f272]) ).
fof(f713,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| sP7_prd(sK32_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f709,f69]) ).
fof(f714,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| sQ57_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f713,f313,f638,f641,f271]) ).
fof(f715,plain,
( ~ sQ59_spl
| r1(sK51_skl,sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f675,f180]) ).
fof(f720,plain,
( ~ sQ22_spl
| ~ sQ61_spl
| p203(sK36_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f683,f259]) ).
fof(f723,plain,
( ~ sQ22_spl
| ~ sQ61_spl
| ~ p603(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f720,f79]) ).
fof(f725,plain,
( ~ sQ22_spl
| ~ sQ61_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f723,f313,f194,f682,f258]) ).
fof(f726,plain,
( r1(sK51_skl,sK40_skl(sK51_skl))
| ~ p603(sK51_skl) ),
inference(resolution,[status(thm)],[f86,f131]) ).
fof(f727,definition,
( sQ62_spl
<=> r1(sK51_skl,sK40_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ62_spl
| r1(sK51_skl,sK40_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,plain,
( sQ62_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f726,f194,f727]) ).
fof(f737,plain,
( ~ sQ27_spl
| ~ sQ62_spl
| p103(sK40_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f728,f275]) ).
fof(f739,plain,
( ~ sQ27_spl
| ~ sQ62_spl
| ~ p603(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f737,f87]) ).
fof(f740,plain,
( ~ sQ27_spl
| ~ sQ62_spl
| ~ sQ2_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f739,f313,f194,f727,f274]) ).
fof(f741,plain,
( ~ p301(sK51_skl)
| ~ p401(sK51_skl) ),
inference(resolution,[status(thm)],[f121,f131]) ).
fof(f742,plain,
( ~ sQ19_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f741,f232,f248]) ).
fof(f743,plain,
( ~ sQ11_spl
| r1(sK51_skl,sK31_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f224,f66]) ).
fof(f744,plain,
( ~ sQ11_spl
| r1(sK51_skl,sK26_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f224,f58]) ).
fof(f745,plain,
( ~ sQ11_spl
| r1(sK51_skl,sK23_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f224,f52]) ).
fof(f746,definition,
( sQ63_spl
<=> r1(sK51_skl,sK31_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ63_spl
| r1(sK51_skl,sK31_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( ~ sQ11_spl
| sQ63_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f743,f313,f746,f223]) ).
fof(f750,definition,
( sQ64_spl
<=> r1(sK51_skl,sK26_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ64_spl
| r1(sK51_skl,sK26_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( ~ sQ11_spl
| sQ64_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f744,f313,f750,f223]) ).
fof(f754,definition,
( sQ65_spl
<=> r1(sK51_skl,sK23_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ65_spl
| r1(sK51_skl,sK23_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( ~ sQ11_spl
| sQ65_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f745,f313,f754,f223]) ).
fof(f761,plain,
! [X0] :
( ~ sQ10_spl
| ~ p505(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK2_skl(X0)) ),
inference(resolution,[status(thm)],[f221,f20]) ).
fof(f763,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sP3_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f221,f156]) ).
fof(f764,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sP1_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f221,f146]) ).
fof(f765,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sP0_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f221,f141]) ).
fof(f766,plain,
( ~ p201(sK51_skl)
| ~ p301(sK51_skl) ),
inference(resolution,[status(thm)],[f125,f131]) ).
fof(f767,plain,
( ~ sQ24_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f766,f248,f264]) ).
fof(f771,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ sP4_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f237,f161]) ).
fof(f772,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ sP2_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f237,f151]) ).
fof(f773,plain,
( r1(sK51_skl,sK45_skl(sK51_skl))
| sP9_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(resolution,[status(thm)],[f94,f131]) ).
fof(f774,definition,
( sQ66_spl
<=> sP9_prd(sK44_skl(sK51_skl),sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ66_spl
| sP9_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f776,plain,
( sQ66_spl
| ~ sP9_prd(sK44_skl(sK51_skl),sK51_skl) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,definition,
( sQ67_spl
<=> r1(sK51_skl,sK45_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ67_spl
| r1(sK51_skl,sK45_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( sQ67_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f773,f774,f777]) ).
fof(f781,plain,
( ~ sQ66_spl
| r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f775,f185]) ).
fof(f784,plain,
( ~ p101(sK51_skl)
| ~ p201(sK51_skl) ),
inference(resolution,[status(thm)],[f130,f131]) ).
fof(f785,plain,
( ~ sQ29_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f784,f264,f280]) ).
fof(f787,plain,
! [X0] :
( ~ sQ20_spl
| sP2_prd(sK11_skl(X0),X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK12_skl(X0)) ),
inference(resolution,[status(thm)],[f253,f34]) ).
fof(f789,plain,
! [X0] :
( ~ sQ20_spl
| ~ p505(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK8_skl(X0)) ),
inference(resolution,[status(thm)],[f253,f30]) ).
fof(f791,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sP5_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f253,f166]) ).
fof(f793,plain,
( r1(sK51_skl,sK47_skl(sK51_skl))
| ~ p502(sK51_skl) ),
inference(resolution,[status(thm)],[f108,f131]) ).
fof(f794,definition,
( sQ68_spl
<=> r1(sK51_skl,sK47_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ68_spl
| r1(sK51_skl,sK47_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( sQ68_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f793,f213,f794]) ).
fof(f798,plain,
( ~ sQ28_spl
| ~ sQ68_spl
| p102(sK47_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f795,f278]) ).
fof(f799,plain,
( ~ sQ28_spl
| ~ sQ68_spl
| ~ p502(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f798,f109]) ).
fof(f800,plain,
( ~ sQ28_spl
| ~ sQ68_spl
| ~ sQ8_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f799,f313,f213,f794,f277]) ).
fof(f811,definition,
! [X0] :
( sQ69_spl
<=> ~ r1(X0,sK5_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f812,plain,
! [X0] :
( ~ sQ69_spl
| ~ r1(X0,sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f818,plain,
( ~ sQ31_spl
| ~ sQ69_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f319,f812]) ).
fof(f819,plain,
( ~ sQ31_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ r1(sK51_skl,sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f763,f415]) ).
fof(f822,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f422]) ).
fof(f823,plain,
( ~ sQ38_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f824,plain,
! [X0] :
( ~ sQ26_spl
| sP8_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK35_skl(X0)) ),
inference(resolution,[status(thm)],[f272,f71]) ).
fof(f826,plain,
! [X0] :
( ~ sQ26_spl
| ~ p404(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK31_skl(X0)) ),
inference(resolution,[status(thm)],[f272,f67]) ).
fof(f827,plain,
! [X0] :
( ~ sQ26_spl
| ~ p504(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK30_skl(X0)) ),
inference(resolution,[status(thm)],[f272,f65]) ).
fof(f828,plain,
! [X0] :
( ~ sQ26_spl
| ~ p604(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK29_skl(X0)) ),
inference(resolution,[status(thm)],[f272,f63]) ).
fof(f829,plain,
( sQ38_spl
| p405(sK15_skl(sK51_skl))
| ~ r1(sK51_skl,sK15_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f416,f157]) ).
fof(f830,definition,
( sQ71_spl
<=> r1(sK51_skl,sK15_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( sQ71_spl
| ~ r1(sK51_skl,sK15_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,definition,
( sQ72_spl
<=> p405(sK15_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( sQ38_spl
| sQ72_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f829,f830,f833,f414]) ).
fof(f837,plain,
( ~ sQ34_spl
| ~ sQ10_spl
| ~ r1(sK51_skl,sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f764,f352]) ).
fof(f839,plain,
( ~ sQ34_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f366]) ).
fof(f840,plain,
( ~ sQ34_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f839]) ).
fof(f841,plain,
( sQ34_spl
| p405(sK9_skl(sK51_skl))
| ~ r1(sK51_skl,sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f353,f147]) ).
fof(f842,definition,
( sQ73_spl
<=> r1(sK51_skl,sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( sQ73_spl
| ~ r1(sK51_skl,sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,definition,
( sQ74_spl
<=> p405(sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( sQ34_spl
| sQ74_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f841,f842,f845,f351]) ).
fof(f849,plain,
( ~ sQ31_spl
| ~ sQ10_spl
| ~ r1(sK51_skl,sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f765,f293]) ).
fof(f851,plain,
( ~ sQ31_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f319]) ).
fof(f852,plain,
( ~ sQ31_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( ~ sQ19_spl
| ~ p101(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f249,f129]) ).
fof(f854,plain,
( ~ sQ19_spl
| ~ sQ29_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f853,f313,f280,f248]) ).
fof(f858,plain,
! [X0] :
( ~ sQ21_spl
| sP6_prd(sK27_skl(X0),X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK28_skl(X0)) ),
inference(resolution,[status(thm)],[f256,f61]) ).
fof(f859,plain,
! [X0] :
( ~ sQ21_spl
| ~ p404(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK26_skl(X0)) ),
inference(resolution,[status(thm)],[f256,f59]) ).
fof(f862,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sP8_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f256,f181]) ).
fof(f866,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ36_spl
| p204(sK11_skl(sK51_skl))
| ~ r1(X0,sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f412,f182]) ).
fof(f867,definition,
! [X0] :
( sQ75_spl
<=> ~ r1(X0,sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f868,plain,
! [X0] :
( ~ sQ75_spl
| ~ r1(X0,sK11_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ76_spl
<=> p204(sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( ~ sQ21_spl
| ~ sQ36_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f866,f867,f870,f359,f255]) ).
fof(f876,plain,
( sQ31_spl
| p405(sK5_skl(sK51_skl))
| ~ r1(sK51_skl,sK5_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f294,f142]) ).
fof(f877,definition,
( sQ77_spl
<=> r1(sK51_skl,sK5_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( sQ77_spl
| ~ r1(sK51_skl,sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,definition,
( sQ78_spl
<=> p405(sK5_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ78_spl
| p405(sK5_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,plain,
( sQ31_spl
| sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f876,f877,f880,f292]) ).
fof(f886,plain,
! [X0] :
( ~ sQ78_spl
| ~ sP0_prd(sK5_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f881,f141]) ).
fof(f887,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ40_spl
| p204(sK17_skl(sK51_skl))
| ~ r1(X0,sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f481,f182]) ).
fof(f888,definition,
! [X0] :
( sQ79_spl
<=> ~ r1(X0,sK17_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f889,plain,
! [X0] :
( ~ sQ79_spl
| ~ r1(X0,sK17_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,definition,
( sQ80_spl
<=> p204(sK17_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ21_spl
| ~ sQ40_spl
| sQ80_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f887,f888,f891,f443,f255]) ).
fof(f895,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| ~ r1(sK51_skl,sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f862,f675]) ).
fof(f897,plain,
( ~ sQ59_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f895,f715]) ).
fof(f898,plain,
( ~ sQ59_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f897]) ).
fof(f901,plain,
( ~ sQ26_spl
| ~ sQ60_spl
| sP8_prd(sK34_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f678,f824]) ).
fof(f902,plain,
( ~ sQ26_spl
| ~ sQ60_spl
| sQ59_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f901,f313,f674,f677,f271]) ).
fof(f905,plain,
! [X0] :
( ~ sQ16_spl
| ~ p404(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK23_skl(X0)) ),
inference(resolution,[status(thm)],[f240,f53]) ).
fof(f906,plain,
! [X0] :
( ~ sQ16_spl
| ~ p504(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK22_skl(X0)) ),
inference(resolution,[status(thm)],[f240,f51]) ).
fof(f908,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sP7_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f240,f176]) ).
fof(f909,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sP6_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f240,f171]) ).
fof(f910,plain,
( sQ59_spl
| p204(sK34_skl(sK51_skl))
| ~ r1(sK51_skl,sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f676,f182]) ).
fof(f911,definition,
( sQ81_spl
<=> r1(sK51_skl,sK34_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( sQ81_spl
| ~ r1(sK51_skl,sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,definition,
( sQ82_spl
<=> p204(sK34_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( sQ59_spl
| sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f910,f911,f914,f674]) ).
fof(f929,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| p204(sK19_skl(sK51_skl))
| ~ r1(X0,sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f502,f182]) ).
fof(f930,definition,
! [X0] :
( sQ83_spl
<=> ~ r1(X0,sK19_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f931,plain,
! [X0] :
( ~ sQ83_spl
| ~ r1(X0,sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,definition,
( sQ84_spl
<=> p204(sK19_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| sQ84_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f929,f930,f933,f466,f255]) ).
fof(f938,plain,
( ~ sQ57_spl
| ~ sQ16_spl
| ~ r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f908,f639]) ).
fof(f940,plain,
( ~ sQ57_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f707]) ).
fof(f941,plain,
( ~ sQ57_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f940]) ).
fof(f942,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| ~ r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f909,f579]) ).
fof(f944,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f942,f701]) ).
fof(f945,plain,
( ~ sQ55_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f944]) ).
fof(f949,plain,
( sQ57_spl
| p304(sK32_skl(sK51_skl))
| ~ r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f640,f177]) ).
fof(f950,definition,
( sQ85_spl
<=> r1(sK51_skl,sK32_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( sQ85_spl
| ~ r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,definition,
( sQ86_spl
<=> p304(sK32_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f954,plain,
( ~ sQ86_spl
| p304(sK32_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,plain,
( sQ57_spl
| sQ86_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f949,f950,f953,f638]) ).
fof(f957,plain,
! [X0] :
( ~ sQ86_spl
| ~ sP7_prd(sK32_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f954,f176]) ).
fof(f959,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| sP6_prd(sK27_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f582,f858]) ).
fof(f960,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| sQ55_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f959,f313,f578,f581,f255]) ).
fof(f961,plain,
( ~ sQ14_spl
| ~ p101(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f233,f128]) ).
fof(f962,plain,
( ~ sQ14_spl
| ~ p201(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f233,f124]) ).
fof(f963,plain,
( ~ sQ14_spl
| ~ sQ29_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f961,f313,f280,f232]) ).
fof(f964,plain,
( ~ sQ14_spl
| ~ sQ24_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f962,f313,f264,f232]) ).
fof(f975,plain,
! [X0] :
( ~ sQ25_spl
| sP5_prd(sK19_skl(X0),X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK20_skl(X0)) ),
inference(resolution,[status(thm)],[f269,f44]) ).
fof(f976,plain,
! [X0] :
( ~ sQ25_spl
| sP4_prd(sK17_skl(X0),X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK18_skl(X0)) ),
inference(resolution,[status(thm)],[f269,f42]) ).
fof(f978,plain,
! [X0] :
( ~ sQ25_spl
| ~ p505(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK14_skl(X0)) ),
inference(resolution,[status(thm)],[f269,f38]) ).
fof(f979,plain,
! [X0] :
( ~ sQ25_spl
| ~ p605(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK13_skl(X0)) ),
inference(resolution,[status(thm)],[f269,f36]) ).
fof(f999,plain,
( sQ77_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f879,f319]) ).
fof(f1000,plain,
( sQ77_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1001,plain,
( sQ73_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f844,f366]) ).
fof(f1002,plain,
( sQ73_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1001]) ).
fof(f1003,plain,
( sQ71_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f422]) ).
fof(f1004,plain,
( sQ71_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1003]) ).
fof(f1005,plain,
( ~ sQ57_spl
| r1(sK51_skl,sK32_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f639,f175]) ).
fof(f1006,plain,
( ~ sQ57_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1005,f952]) ).
fof(f1007,plain,
( ~ sQ57_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1006]) ).
fof(f1012,plain,
( ~ sQ57_spl
| ~ sQ86_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f639,f957]) ).
fof(f1014,plain,
( ~ sQ57_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f1012]) ).
fof(f1019,definition,
! [X0] :
( sQ87_spl
<=> ~ r1(X0,sK34_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
! [X0] :
( ~ sQ87_spl
| ~ r1(X0,sK34_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1031,plain,
( ~ sQ31_spl
| ~ sQ78_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f293,f886]) ).
fof(f1033,plain,
( ~ sQ31_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1031]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ37_spl
| p204(sK12_skl(sK51_skl))
| ~ r1(X0,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f390,f182]) ).
fof(f1038,definition,
! [X0] :
( sQ88_spl
<=> ~ r1(X0,sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ88_spl
| ~ r1(X0,sK12_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,definition,
( sQ89_spl
<=> p204(sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1037,f1038,f1041,f362,f255]) ).
fof(f1047,plain,
( ~ sQ43_spl
| ~ sQ25_spl
| sP5_prd(sK19_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f975,f470]) ).
fof(f1048,plain,
( ~ sQ43_spl
| ~ sQ25_spl
| sQ42_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1047,f313,f466,f268,f469]) ).
fof(f1049,plain,
( ~ sQ42_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f931]) ).
fof(f1050,plain,
( ~ sQ42_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1049]) ).
fof(f1052,plain,
( ~ sQ36_spl
| r1(sK51_skl,sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f360,f150]) ).
fof(f1053,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1052,f868]) ).
fof(f1054,plain,
( ~ sQ36_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1053]) ).
fof(f1055,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f363,f1039]) ).
fof(f1056,plain,
( ~ sQ37_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1055]) ).
fof(f1058,plain,
( ~ sQ41_spl
| ~ sQ25_spl
| sP4_prd(sK17_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f976,f447]) ).
fof(f1059,plain,
( ~ sQ41_spl
| ~ sQ25_spl
| sQ40_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1058,f313,f443,f268,f446]) ).
fof(f1062,plain,
( ~ sQ15_spl
| ~ sQ36_spl
| ~ r1(sK51_skl,sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f360,f772]) ).
fof(f1064,plain,
( ~ sQ15_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1062,f380]) ).
fof(f1065,plain,
( ~ sQ15_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1064]) ).
fof(f1067,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| ~ r1(sK51_skl,sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f444,f771]) ).
fof(f1068,plain,
( ~ sQ40_spl
| r1(sK51_skl,sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f444,f160]) ).
fof(f1069,plain,
( ~ sQ40_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1068,f889]) ).
fof(f1070,plain,
( ~ sQ40_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1067,f454]) ).
fof(f1072,plain,
( ~ sQ15_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1071]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| p304(sK9_skl(sK51_skl))
| ~ r1(X0,sK9_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f399,f177]) ).
fof(f1100,definition,
! [X0] :
( sQ90_spl
<=> ~ r1(X0,sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ90_spl
| ~ r1(X0,sK9_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1103,definition,
( sQ91_spl
<=> p304(sK9_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1099,f1100,f1103,f351,f239]) ).
fof(f1107,plain,
( ~ sQ34_spl
| ~ sQ90_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f366,f1101]) ).
fof(f1108,plain,
( ~ sQ34_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1107]) ).
fof(f1119,plain,
( ~ sQ20_spl
| ~ sQ37_spl
| sP2_prd(sK11_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f363,f787]) ).
fof(f1120,plain,
( ~ sQ20_spl
| ~ sQ37_spl
| sQ36_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1119,f313,f359,f362,f252]) ).
fof(f1146,plain,
( ~ sQ42_spl
| ~ sQ20_spl
| ~ r1(sK51_skl,sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f791,f467]) ).
fof(f1148,plain,
( ~ sQ42_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f483]) ).
fof(f1149,plain,
( ~ sQ42_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1148]) ).
fof(f1159,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| ~ p404(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f905,f755]) ).
fof(f1160,plain,
( ~ sQ65_spl
| ~ sQ16_spl
| ~ sQ11_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1159,f313,f223,f239,f754]) ).
fof(f1177,plain,
( ~ sQ64_spl
| ~ sQ21_spl
| ~ p404(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f859,f751]) ).
fof(f1178,plain,
( ~ sQ64_spl
| ~ sQ21_spl
| ~ sQ11_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1177,f313,f223,f255,f750]) ).
fof(f1190,plain,
( ~ sQ63_spl
| ~ sQ26_spl
| ~ p404(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f826,f747]) ).
fof(f1191,plain,
( ~ sQ63_spl
| ~ sQ26_spl
| ~ sQ11_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1190,f313,f223,f271,f746]) ).
fof(f1192,plain,
( ~ sQ23_spl
| r1(sK51_skl,sK50_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f262,f114]) ).
fof(f1193,definition,
( sQ92_spl
<=> r1(sK51_skl,sK50_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
( ~ sQ92_spl
| r1(sK51_skl,sK50_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1196,plain,
( ~ sQ23_spl
| sQ92_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1192,f313,f1193,f261]) ).
fof(f1201,plain,
( ~ sQ9_spl
| ~ p101(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f217,f127]) ).
fof(f1202,plain,
( ~ sQ9_spl
| ~ p201(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f217,f123]) ).
fof(f1203,plain,
( ~ sQ9_spl
| ~ p301(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f217,f120]) ).
fof(f1204,plain,
( ~ sQ9_spl
| ~ p401(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f217,f118]) ).
fof(f1205,plain,
( ~ sQ9_spl
| ~ sQ29_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1201,f313,f280,f216]) ).
fof(f1206,plain,
( ~ sQ9_spl
| ~ sQ24_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1202,f313,f264,f216]) ).
fof(f1207,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1203,f313,f248,f216]) ).
fof(f1208,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1204,f313,f232,f216]) ).
fof(f1209,plain,
( ~ sQ18_spl
| r1(sK51_skl,sK49_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f246,f112]) ).
fof(f1210,definition,
( sQ93_spl
<=> r1(sK51_skl,sK49_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
( ~ sQ93_spl
| r1(sK51_skl,sK49_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1213,plain,
( ~ sQ18_spl
| sQ93_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1209,f313,f1210,f245]) ).
fof(f1214,plain,
( ~ sQ13_spl
| r1(sK51_skl,sK48_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f230,f110]) ).
fof(f1215,plain,
( ~ sQ13_spl
| ~ p202(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f230,f104]) ).
fof(f1216,plain,
( ~ sQ13_spl
| ~ p302(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f230,f101]) ).
fof(f1217,definition,
( sQ94_spl
<=> r1(sK51_skl,sK48_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1218,plain,
( ~ sQ94_spl
| r1(sK51_skl,sK48_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,plain,
( ~ sQ13_spl
| sQ94_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1214,f313,f1217,f229]) ).
fof(f1221,plain,
( ~ sQ13_spl
| ~ sQ23_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1215,f313,f261,f229]) ).
fof(f1222,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1216,f313,f245,f229]) ).
fof(f1229,plain,
( ~ sQ3_spl
| r1(sK51_skl,sK46_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f198,f106]) ).
fof(f1234,definition,
( sQ95_spl
<=> r1(sK51_skl,sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1235,plain,
( ~ sQ95_spl
| r1(sK51_skl,sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1237,plain,
( ~ sQ3_spl
| sQ95_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1229,f313,f1234,f197]) ).
fof(f1242,plain,
( ~ sQ17_spl
| r1(sK51_skl,sK43_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f243,f92]) ).
fof(f1243,plain,
( ~ sQ17_spl
| r1(sK51_skl,sK39_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f243,f84]) ).
fof(f1244,definition,
( sQ96_spl
<=> r1(sK51_skl,sK43_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1245,plain,
( ~ sQ96_spl
| r1(sK51_skl,sK43_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1247,plain,
( ~ sQ17_spl
| sQ96_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1242,f313,f1244,f242]) ).
fof(f1248,definition,
( sQ97_spl
<=> r1(sK51_skl,sK39_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
( ~ sQ97_spl
| r1(sK51_skl,sK39_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,plain,
( ~ sQ17_spl
| sQ97_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1243,f313,f1248,f242]) ).
fof(f1252,plain,
( ~ sQ12_spl
| r1(sK51_skl,sK42_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f227,f90]) ).
fof(f1253,plain,
( ~ sQ12_spl
| r1(sK51_skl,sK38_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f227,f82]) ).
fof(f1254,plain,
( ~ sQ12_spl
| ~ p303(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f227,f77]) ).
fof(f1255,definition,
( sQ98_spl
<=> r1(sK51_skl,sK42_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( ~ sQ98_spl
| r1(sK51_skl,sK42_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1255]) ).
fof(f1258,plain,
( ~ sQ12_spl
| sQ98_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1252,f313,f1255,f226]) ).
fof(f1259,definition,
( sQ99_spl
<=> r1(sK51_skl,sK38_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
( ~ sQ99_spl
| r1(sK51_skl,sK38_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,plain,
( ~ sQ12_spl
| sQ99_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1253,f313,f1259,f226]) ).
fof(f1263,plain,
( ~ sQ12_spl
| ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1254,f313,f242,f226]) ).
fof(f1301,plain,
( ~ sQ16_spl
| ~ sQ59_spl
| p304(sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f715,f240]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ59_spl
| ~ sP7_prd(sK34_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1301,f176]) ).
fof(f1306,plain,
( sQ42_spl
| p205(sK19_skl(sK51_skl))
| ~ r1(sK51_skl,sK19_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f468,f167]) ).
fof(f1307,definition,
( sQ100_spl
<=> r1(sK51_skl,sK19_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1309,plain,
( sQ100_spl
| ~ r1(sK51_skl,sK19_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1310,definition,
( sQ101_spl
<=> p205(sK19_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1313,plain,
( sQ42_spl
| sQ101_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1306,f1307,f1310,f466]) ).
fof(f1324,plain,
( ~ sQ16_spl
| ~ sQ95_spl
| p304(sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1235,f240]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ95_spl
| ~ sP7_prd(sK46_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1324,f176]) ).
fof(f1332,plain,
( ~ sQ16_spl
| ~ sQ58_spl
| p304(sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f642,f240]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ58_spl
| ~ sP7_prd(sK33_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1332,f176]) ).
fof(f1338,plain,
( ~ sQ16_spl
| ~ sQ56_spl
| p304(sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f582,f240]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ56_spl
| ~ sP7_prd(sK28_skl(sK51_skl),X0) ),
inference(resolution,[status(thm)],[f1338,f176]) ).
fof(f1345,plain,
( ~ sQ27_spl
| ~ sQ98_spl
| p103(sK42_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1256,f275]) ).
fof(f1349,plain,
( ~ sQ27_spl
| ~ sQ98_spl
| ~ p403(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1345,f91]) ).
fof(f1350,plain,
( ~ sQ27_spl
| ~ sQ98_spl
| ~ sQ12_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1349,f313,f226,f1255,f274]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ28_spl
| ~ p202(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK50_skl(X0)) ),
inference(resolution,[status(thm)],[f278,f115]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ28_spl
| ~ p302(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK49_skl(X0)) ),
inference(resolution,[status(thm)],[f278,f113]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ28_spl
| ~ p402(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK48_skl(X0)) ),
inference(resolution,[status(thm)],[f278,f111]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ28_spl
| ~ p602(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK46_skl(X0)) ),
inference(resolution,[status(thm)],[f278,f107]) ).
fof(f1362,plain,
( sQ55_spl
| p304(sK27_skl(sK51_skl))
| ~ r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f580,f172]) ).
fof(f1363,definition,
( sQ102_spl
<=> r1(sK51_skl,sK27_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1365,plain,
( sQ102_spl
| ~ r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1363]) ).
fof(f1366,definition,
( sQ103_spl
<=> p304(sK27_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1369,plain,
( sQ55_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1362,f1363,f1366,f578]) ).
fof(f1370,plain,
( ~ sQ95_spl
| ~ sQ28_spl
| ~ p602(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1356,f1235]) ).
fof(f1371,plain,
( ~ sQ95_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1370,f313,f197,f277,f1234]) ).
fof(f1386,plain,
( ~ sQ28_spl
| ~ sQ93_spl
| ~ p302(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1211,f1353]) ).
fof(f1388,plain,
( ~ sQ28_spl
| ~ sQ93_spl
| ~ sQ18_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1386,f313,f245,f1210,f277]) ).
fof(f1391,plain,
( ~ sQ55_spl
| r1(sK51_skl,sK27_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f579,f170]) ).
fof(f1398,plain,
( ~ sQ28_spl
| ~ sQ92_spl
| ~ p202(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1194,f1352]) ).
fof(f1399,plain,
( ~ sQ28_spl
| ~ sQ92_spl
| ~ sQ23_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1398,f313,f261,f1193,f277]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ20_spl
| ~ p605(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f253,f28]) ).
fof(f1442,plain,
( ~ sQ28_spl
| ~ sQ94_spl
| ~ p402(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1218,f1354]) ).
fof(f1443,plain,
( ~ sQ28_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1442,f313,f229,f1217,f277]) ).
fof(f1499,plain,
( ~ sQ22_spl
| ~ sQ99_spl
| p203(sK38_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1260,f259]) ).
fof(f1501,plain,
( ~ sQ22_spl
| ~ sQ99_spl
| ~ p403(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1499,f83]) ).
fof(f1503,plain,
( ~ sQ22_spl
| ~ sQ99_spl
| ~ sQ12_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1501,f313,f226,f1259,f258]) ).
fof(f1565,plain,
( sQ36_spl
| p305(sK11_skl(sK51_skl))
| ~ r1(sK51_skl,sK11_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f361,f152]) ).
fof(f1566,definition,
( sQ104_spl
<=> r1(sK51_skl,sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1569,definition,
( sQ105_spl
<=> p305(sK11_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( sQ36_spl
| sQ105_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f1565,f1566,f1569,f359]) ).
fof(f1573,plain,
( sQ100_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1309,f483]) ).
fof(f1574,plain,
( sQ100_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1573]) ).
fof(f1575,plain,
( sQ81_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f913,f715]) ).
fof(f1576,plain,
( sQ81_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1575]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ40_spl
| p304(sK17_skl(sK51_skl))
| ~ r1(X0,sK17_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f479,f177]) ).
fof(f1604,definition,
( sQ106_spl
<=> p304(sK17_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( ~ sQ16_spl
| ~ sQ40_spl
| sQ106_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1603,f888,f1604,f443,f239]) ).
fof(f1611,definition,
! [X0] :
( sQ107_spl
<=> ~ r1(X0,sK44_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ107_spl
| ~ r1(X0,sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1611]) ).
fof(f1627,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| p103(sK45_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f778,f275]) ).
fof(f1630,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| sP9_prd(sK44_skl(sK51_skl),sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1627,f95]) ).
fof(f1631,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| sQ66_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1630,f313,f774,f777,f274]) ).
fof(f1640,plain,
( ~ sQ66_spl
| r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f775,f185]) ).
fof(f1641,plain,
( ~ sQ66_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1640,f1612]) ).
fof(f1642,plain,
( ~ sQ66_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f1641]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ59_spl
| p304(sK34_skl(sK51_skl))
| ~ r1(X0,sK34_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1304,f177]) ).
fof(f1647,definition,
( sQ109_spl
<=> p304(sK34_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1650,plain,
( ~ sQ16_spl
| ~ sQ59_spl
| sQ109_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1646,f1019,f1647,f674,f239]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ58_spl
| p304(sK33_skl(sK51_skl))
| ~ r1(X0,sK33_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1335,f177]) ).
fof(f1652,definition,
! [X0] :
( sQ110_spl
<=> ~ r1(X0,sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ110_spl
| ~ r1(X0,sK33_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1652]) ).
fof(f1655,definition,
( sQ111_spl
<=> p304(sK33_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( ~ sQ16_spl
| ~ sQ58_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1651,f1652,f1655,f641,f239]) ).
fof(f1661,plain,
( ~ sQ59_spl
| ~ sQ87_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f715,f1020]) ).
fof(f1662,plain,
( ~ sQ59_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1663,plain,
( ~ sQ58_spl
| ~ sQ110_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f642,f1653]) ).
fof(f1664,plain,
( ~ sQ58_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f1663]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ56_spl
| p304(sK28_skl(sK51_skl))
| ~ r1(X0,sK28_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1341,f177]) ).
fof(f1674,definition,
! [X0] :
( sQ112_spl
<=> ~ r1(X0,sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ112_spl
| ~ r1(X0,sK28_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1674]) ).
fof(f1677,definition,
( sQ113_spl
<=> p304(sK28_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1680,plain,
( ~ sQ16_spl
| ~ sQ56_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1673,f1674,f1677,f581,f239]) ).
fof(f1681,plain,
( ~ sQ56_spl
| ~ sQ112_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f582,f1675]) ).
fof(f1682,plain,
( ~ sQ56_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1681]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ37_spl
| p304(sK12_skl(sK51_skl))
| ~ r1(X0,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f388,f177]) ).
fof(f1689,definition,
( sQ114_spl
<=> p304(sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1692,plain,
( ~ sQ16_spl
| ~ sQ37_spl
| sQ114_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1688,f1038,f1689,f362,f239]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| p203(sK12_skl(sK51_skl))
| ~ r1(X0,sK12_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f391,f187]) ).
fof(f1696,definition,
( sQ115_spl
<=> p203(sK12_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1699,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| sQ115_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1695,f1038,f1696,f362,f258]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ95_spl
| p304(sK46_skl(sK51_skl))
| ~ r1(X0,sK46_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1327,f177]) ).
fof(f1701,definition,
! [X0] :
( sQ116_spl
<=> ~ r1(X0,sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ116_spl
| ~ r1(X0,sK46_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1701]) ).
fof(f1704,definition,
( sQ117_spl
<=> p304(sK46_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1707,plain,
( ~ sQ16_spl
| ~ sQ95_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1700,f1701,f1704,f1234,f239]) ).
fof(f1708,plain,
( ~ sQ95_spl
| ~ sQ116_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1235,f1702]) ).
fof(f1709,plain,
( ~ sQ95_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f1708]) ).
fof(f1739,plain,
( ~ sQ27_spl
| ~ sQ96_spl
| p103(sK43_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1245,f275]) ).
fof(f1745,plain,
( ~ sQ27_spl
| ~ sQ96_spl
| ~ p303(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1739,f93]) ).
fof(f1746,plain,
( ~ sQ27_spl
| ~ sQ96_spl
| ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1745,f313,f242,f1244,f274]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ22_spl
| ~ p303(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK39_skl(X0)) ),
inference(resolution,[status(thm)],[f259,f85]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ22_spl
| ~ p503(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK37_skl(X0)) ),
inference(resolution,[status(thm)],[f259,f81]) ).
fof(f1759,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sP9_prd(X0,X1)
| ~ r1(sK51_skl,X0) ),
inference(resolution,[status(thm)],[f259,f186]) ).
fof(f1774,plain,
( ~ sQ97_spl
| ~ sQ22_spl
| ~ p303(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1755,f1249]) ).
fof(f1775,plain,
( ~ sQ97_spl
| ~ sQ22_spl
| ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1774,f313,f242,f258,f1248]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ27_spl
| ~ p503(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK41_skl(X0)) ),
inference(resolution,[status(thm)],[f275,f89]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ15_spl
| ~ p605(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK3_skl(X0)) ),
inference(resolution,[status(thm)],[f237,f22]) ).
fof(f1787,plain,
( ~ sQ66_spl
| ~ sQ22_spl
| ~ r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f1759,f775]) ).
fof(f1789,plain,
( ~ sQ66_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1787,f781]) ).
fof(f1790,plain,
( ~ sQ66_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1789]) ).
fof(f1826,plain,
( ~ sQ53_spl
| ~ sQ20_spl
| ~ p605(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1425,f570]) ).
fof(f1827,plain,
( ~ sQ53_spl
| ~ sQ20_spl
| ~ sQ0_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1826,f313,f188,f252,f569]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ21_spl
| ~ p504(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK25_skl(X0)) ),
inference(resolution,[status(thm)],[f256,f57]) ).
fof(f1855,plain,
( ~ sQ54_spl
| ~ sQ15_spl
| ~ p605(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1783,f574]) ).
fof(f1856,plain,
( ~ sQ54_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1855,f313,f188,f236,f573]) ).
fof(f1863,plain,
( ~ sQ7_spl
| r1(sK51_skl,sK41_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f211,f88]) ).
fof(f1864,plain,
( ~ sQ7_spl
| r1(sK51_skl,sK37_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f211,f80]) ).
fof(f1866,definition,
( sQ119_spl
<=> r1(sK51_skl,sK41_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1867,plain,
( ~ sQ119_spl
| r1(sK51_skl,sK41_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1869,plain,
( ~ sQ7_spl
| sQ119_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1863,f313,f1866,f210]) ).
fof(f1870,definition,
( sQ120_spl
<=> r1(sK51_skl,sK37_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1871,plain,
( ~ sQ120_spl
| r1(sK51_skl,sK37_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1870]) ).
fof(f1873,plain,
( ~ sQ7_spl
| sQ120_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1864,f313,f1870,f210]) ).
fof(f1903,plain,
( ~ sQ120_spl
| ~ sQ22_spl
| ~ p503(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1757,f1871]) ).
fof(f1904,plain,
( ~ sQ120_spl
| ~ sQ22_spl
| ~ sQ7_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1903,f313,f210,f258,f1870]) ).
fof(f1927,plain,
( ~ sQ119_spl
| ~ sQ27_spl
| ~ p503(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f1779,f1867]) ).
fof(f1928,plain,
( ~ sQ119_spl
| ~ sQ27_spl
| ~ sQ7_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1927,f313,f210,f274,f1866]) ).
fof(f1929,plain,
( ~ sQ4_spl
| ~ p101(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f201,f126]) ).
fof(f1930,plain,
( ~ sQ4_spl
| ~ p201(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f201,f122]) ).
fof(f1931,plain,
( ~ sQ4_spl
| ~ p301(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f201,f119]) ).
fof(f1932,plain,
( ~ sQ4_spl
| ~ p401(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f201,f117]) ).
fof(f1933,plain,
( ~ sQ4_spl
| ~ sQ29_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1929,f313,f280,f200]) ).
fof(f1934,plain,
( ~ sQ4_spl
| ~ sQ24_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1930,f313,f264,f200]) ).
fof(f1935,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1931,f313,f248,f200]) ).
fof(f1936,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1932,f313,f232,f200]) ).
fof(f1952,plain,
( ~ sQ6_spl
| r1(sK51_skl,sK30_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f208,f64]) ).
fof(f1955,definition,
( sQ121_spl
<=> r1(sK51_skl,sK30_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( ~ sQ121_spl
| r1(sK51_skl,sK30_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f1955]) ).
fof(f1958,plain,
( ~ sQ6_spl
| sQ121_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1952,f313,f1955,f207]) ).
fof(f1973,plain,
( ~ sQ21_spl
| ~ sQ50_spl
| ~ p504(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f555,f1830]) ).
fof(f1974,plain,
( ~ sQ21_spl
| ~ sQ50_spl
| ~ sQ6_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1973,f313,f207,f554,f255]) ).
fof(f2018,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| ~ p504(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f906,f559]) ).
fof(f2019,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ6_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2018,f313,f207,f239,f558]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ15_spl
| ~ p505(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK51_skl,sK4_skl(X0)) ),
inference(resolution,[status(thm)],[f237,f24]) ).
fof(f2045,plain,
( sQ66_spl
| p203(sK44_skl(sK51_skl))
| ~ r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(resolution,[status(thm)],[f776,f187]) ).
fof(f2046,definition,
( sQ122_spl
<=> r1(sK51_skl,sK44_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f2048,plain,
( sQ122_spl
| ~ r1(sK51_skl,sK44_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2046]) ).
fof(f2049,definition,
( sQ123_spl
<=> p203(sK44_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2052,plain,
( sQ66_spl
| sQ123_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f2045,f2046,f2049,f774]) ).
fof(f2053,plain,
( ~ sQ121_spl
| ~ sQ26_spl
| ~ p504(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f827,f1956]) ).
fof(f2054,plain,
( ~ sQ121_spl
| ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2053,f313,f207,f271,f1955]) ).
fof(f2121,plain,
( ~ sQ47_spl
| ~ sQ10_spl
| ~ p505(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f761,f535]) ).
fof(f2122,plain,
( ~ sQ47_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2121,f313,f204,f220,f534]) ).
fof(f2149,plain,
( ~ sQ45_spl
| ~ sQ20_spl
| ~ p505(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f789,f527]) ).
fof(f2150,plain,
( ~ sQ45_spl
| ~ sQ20_spl
| ~ sQ5_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2149,f313,f204,f252,f526]) ).
fof(f2185,plain,
( ~ sQ46_spl
| ~ sQ15_spl
| ~ p505(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f2032,f531]) ).
fof(f2186,plain,
( ~ sQ46_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2185,f313,f204,f236,f530]) ).
fof(f2209,plain,
( ~ sQ44_spl
| ~ sQ25_spl
| ~ p505(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f978,f523]) ).
fof(f2210,plain,
( ~ sQ44_spl
| ~ sQ25_spl
| ~ sQ5_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2209,f313,f204,f268,f522]) ).
fof(f2211,plain,
( sQ102_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1365,f1391]) ).
fof(f2212,plain,
( sQ102_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2211]) ).
fof(f2213,plain,
( ~ sQ66_spl
| sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f2048]) ).
fof(f2214,plain,
( ~ sQ66_spl
| sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f2213]) ).
fof(f2223,plain,
( ~ sQ1_spl
| r1(sK51_skl,sK29_skl(sK51_skl))
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f192,f62]) ).
fof(f2228,definition,
( sQ124_spl
<=> r1(sK51_skl,sK29_skl(sK51_skl)) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2229,plain,
( ~ sQ124_spl
| r1(sK51_skl,sK29_skl(sK51_skl)) ),
inference(component_clause,[status(thm)],[f2228]) ).
fof(f2231,plain,
( ~ sQ1_spl
| sQ124_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2223,f313,f2228,f191]) ).
fof(f2290,plain,
( ~ sQ124_spl
| ~ sQ26_spl
| ~ p604(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f828,f2229]) ).
fof(f2291,plain,
( ~ sQ124_spl
| ~ sQ26_spl
| ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2290,f313,f191,f271,f2228]) ).
fof(f2339,plain,
( ~ sQ52_spl
| ~ sQ25_spl
| ~ p605(sK51_skl)
| ~ r1(sK0_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f979,f566]) ).
fof(f2340,plain,
( ~ sQ52_spl
| ~ sQ25_spl
| ~ sQ0_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2339,f313,f188,f268,f565]) ).
fof(f2341,plain,
$false,
inference(sat_refutation,[status(thm)],[f203,f219,f235,f251,f267,f283,f289,f290,f298,f316,f318,f332,f347,f349,f357,f365,f379,f420,f435,f449,f472,f505,f507,f509,f514,f515,f516,f517,f525,f529,f533,f537,f545,f549,f550,f551,f557,f561,f568,f572,f576,f584,f586,f590,f591,f592,f595,f596,f644,f654,f662,f680,f685,f714,f725,f730,f740,f742,f749,f753,f757,f767,f780,f785,f797,f800,f819,f823,f836,f840,f848,f852,f854,f873,f883,f894,f898,f902,f917,f936,f941,f945,f956,f960,f963,f964,f1000,f1002,f1004,f1007,f1014,f1033,f1044,f1048,f1050,f1054,f1056,f1059,f1065,f1070,f1072,f1106,f1108,f1120,f1149,f1160,f1178,f1191,f1196,f1205,f1206,f1207,f1208,f1213,f1220,f1221,f1222,f1237,f1247,f1251,f1258,f1262,f1263,f1313,f1350,f1369,f1371,f1388,f1399,f1443,f1503,f1572,f1574,f1576,f1607,f1631,f1642,f1650,f1658,f1662,f1664,f1680,f1682,f1692,f1699,f1707,f1709,f1746,f1775,f1790,f1827,f1856,f1869,f1873,f1904,f1928,f1933,f1934,f1935,f1936,f1958,f1974,f2019,f2052,f2054,f2122,f2150,f2186,f2210,f2212,f2214,f2231,f2291,f2340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL648+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n004.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 00:45:19 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 4.83/1.19 % Refutation found
% 4.83/1.19 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.83/1.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/1.21 % Elapsed time: 0.851520 seconds
% 0.12/1.21 % CPU time: 6.445963 seconds
% 0.12/1.21 % Total memory used: 76.974 MB
% 0.12/1.21 % Net memory used: 74.982 MB
%------------------------------------------------------------------------------