%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL666+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 : n019.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 01:08:27 PM UTC 2026
% Result : Theorem 0.27s 0.80s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 111
% Syntax : Number of formulae : 751 ( 5 unt; 109 def)
% Number of atoms : 3366 ( 0 equ)
% Maximal formula atoms : 241 ( 4 avg)
% Number of connectives : 4645 (2030 ~;1926 |; 580 &)
% ( 109 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 85 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 141 ( 140 usr; 100 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 1 con; 0-1 aty)
% Number of variables : 595 ( 491 !; 104 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
~ ? [X] :
~ ( ~ ( ( p101(X)
| ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p105(Y)
| ~ r1(X,Y) ) )
& ( p201(X)
| p202(X)
| ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p205(Y)
| ~ r1(X,Y) ) )
& ( p301(X)
| p302(X)
| p303(X)
| ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p305(Y)
| ~ r1(X,Y) ) )
& ( p401(X)
| p402(X)
| p403(X)
| p404(X)
| ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
& ( p501(X)
| p502(X)
| p503(X)
| p504(X)
| p505(X) )
& ( p601(X)
| p602(X)
| p603(X)
| p604(X)
| p605(X) ) )
| ~ ! [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(f3,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ( ( p101(X)
| ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p105(Y)
| ~ r1(X,Y) ) )
& ( p201(X)
| p202(X)
| ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p205(Y)
| ~ r1(X,Y) ) )
& ( p301(X)
| p302(X)
| p303(X)
| ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p305(Y)
| ~ r1(X,Y) ) )
& ( p401(X)
| p402(X)
| p403(X)
| p404(X)
| ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
& ( p501(X)
| p502(X)
| p503(X)
| p504(X)
| p505(X) )
& ( p601(X)
| p602(X)
| p603(X)
| p604(X)
| p605(X) ) )
| ~ ! [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)],[f2]) ).
fof(f4,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
? [X] :
( ( p101(X)
| ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p105(Y)
| ~ r1(X,Y) ) )
& ( p201(X)
| p202(X)
| ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p205(Y)
| ~ r1(X,Y) ) )
& ( p301(X)
| p302(X)
| p303(X)
| ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p305(Y)
| ~ r1(X,Y) ) )
& ( p401(X)
| p402(X)
| p403(X)
| p404(X)
| ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
& ( p501(X)
| p502(X)
| p503(X)
| p504(X)
| p505(X) )
& ( p601(X)
| p602(X)
| p603(X)
| p604(X)
| p605(X) )
& ! [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)],[f3]) ).
fof(f6,definition,
! [Y,X] :
( sP0_prd(X,Y)
<=> ( ~ p405(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f7,definition,
! [Y,X] :
( sP1_prd(X,Y)
<=> ( ~ p405(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f8,definition,
! [Y,X] :
( sP2_prd(X,Y)
<=> ( ~ p305(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f9,definition,
! [Y,X] :
( sP3_prd(X,Y)
<=> ( ~ p405(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f10,definition,
! [Y,X] :
( sP4_prd(X,Y)
<=> ( ~ p305(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f11,definition,
! [Y,X] :
( sP5_prd(X,Y)
<=> ( ~ p205(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f12,definition,
! [Y,X] :
( sP6_prd(X,Y)
<=> ( ~ p304(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f13,definition,
! [Y,X] :
( sP7_prd(X,Y)
<=> ( ~ p304(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f14,definition,
! [Y,X] :
( sP8_prd(X,Y)
<=> ( ~ p204(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f15,definition,
! [Y,X] :
( sP9_prd(X,Y)
<=> ( ~ p203(X)
& r1(Y,X) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f16,plain,
? [X] :
( ( p101(X)
| ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p105(Y)
| ~ r1(X,Y) ) )
& ( p201(X)
| p202(X)
| ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p205(Y)
| ~ r1(X,Y) ) )
& ( p301(X)
| p302(X)
| p303(X)
| ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p305(Y)
| ~ r1(X,Y) ) )
& ( p401(X)
| p402(X)
| p403(X)
| p404(X)
| ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
& ( p501(X)
| p502(X)
| p503(X)
| p504(X)
| p505(X) )
& ( p601(X)
| p602(X)
| p603(X)
| p604(X)
| p605(X) )
& ! [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)],[f5,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
fof(f17,plain,
( ( p101(sK0_skl)
| ! [Y] :
( p102(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( p103(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( p104(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( p105(Y)
| ~ r1(sK0_skl,Y) ) )
& ( p201(sK0_skl)
| p202(sK0_skl)
| ! [Y] :
( p203(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( p204(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( p205(Y)
| ~ r1(sK0_skl,Y) ) )
& ( p301(sK0_skl)
| p302(sK0_skl)
| p303(sK0_skl)
| ! [Y] :
( p304(Y)
| ~ r1(sK0_skl,Y) )
| ! [Y] :
( p305(Y)
| ~ r1(sK0_skl,Y) ) )
& ( p401(sK0_skl)
| p402(sK0_skl)
| p403(sK0_skl)
| p404(sK0_skl)
| ! [Y] :
( p405(Y)
| ~ r1(sK0_skl,Y) ) )
& ( p501(sK0_skl)
| p502(sK0_skl)
| p503(sK0_skl)
| p504(sK0_skl)
| p505(sK0_skl) )
& ( p601(sK0_skl)
| p602(sK0_skl)
| p603(sK0_skl)
| p604(sK0_skl)
| p605(sK0_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]),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))],[f16]) ).
fof(f18,plain,
! [X0] :
( ~ p505(X0)
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [X0] :
( r1(X0,sK1_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f20,plain,
! [X0] :
( ~ p405(sK1_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f21,plain,
! [X0] :
( r1(X0,sK2_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f22,plain,
! [X0] :
( ~ p405(sK2_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f23,plain,
! [X0] :
( r1(X0,sK3_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f24,plain,
! [X0] :
( ~ p305(sK3_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f25,plain,
! [X0] :
( r1(X0,sK4_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f26,plain,
! [X0] :
( ~ p305(sK4_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f27,plain,
! [X0] :
( r1(X0,sK6_skl(X0))
| sP0_prd(sK5_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f28,plain,
! [X0] :
( ~ p305(sK6_skl(X0))
| sP0_prd(sK5_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f29,plain,
! [X0] :
( r1(X0,sK7_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f30,plain,
! [X0] :
( ~ p205(sK7_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f31,plain,
! [X0] :
( r1(X0,sK8_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f32,plain,
! [X0] :
( ~ p205(sK8_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f33,plain,
! [X0] :
( r1(X0,sK10_skl(X0))
| sP1_prd(sK9_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f34,plain,
! [X0] :
( ~ p205(sK10_skl(X0))
| sP1_prd(sK9_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f35,plain,
! [X0] :
( r1(X0,sK12_skl(X0))
| sP2_prd(sK11_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f36,plain,
! [X0] :
( ~ p205(sK12_skl(X0))
| sP2_prd(sK11_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f37,plain,
! [X0] :
( r1(X0,sK13_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f38,plain,
! [X0] :
( ~ p105(sK13_skl(X0))
| ~ p605(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f39,plain,
! [X0] :
( r1(X0,sK14_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f40,plain,
! [X0] :
( ~ p105(sK14_skl(X0))
| ~ p505(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f41,plain,
! [X0] :
( r1(X0,sK16_skl(X0))
| sP3_prd(sK15_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f42,plain,
! [X0] :
( ~ p105(sK16_skl(X0))
| sP3_prd(sK15_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f43,plain,
! [X0] :
( r1(X0,sK18_skl(X0))
| sP4_prd(sK17_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f44,plain,
! [X0] :
( ~ p105(sK18_skl(X0))
| sP4_prd(sK17_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f45,plain,
! [X0] :
( r1(X0,sK20_skl(X0))
| sP5_prd(sK19_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f46,plain,
! [X0] :
( ~ p105(sK20_skl(X0))
| sP5_prd(sK19_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f47,plain,
! [X0] :
( ~ p504(X0)
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f48,plain,
! [X0] :
( ~ p404(X0)
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f49,plain,
! [X0] :
( ~ p404(X0)
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f50,plain,
! [X0] :
( r1(X0,sK21_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f51,plain,
! [X0] :
( ~ p304(sK21_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f52,plain,
! [X0] :
( r1(X0,sK22_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f53,plain,
! [X0] :
( ~ p304(sK22_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f54,plain,
! [X0] :
( r1(X0,sK23_skl(X0))
| ~ p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f55,plain,
! [X0] :
( ~ p304(sK23_skl(X0))
| ~ p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f56,plain,
! [X0] :
( r1(X0,sK24_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f57,plain,
! [X0] :
( ~ p204(sK24_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f58,plain,
! [X0] :
( r1(X0,sK25_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f59,plain,
! [X0] :
( ~ p204(sK25_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f60,plain,
! [X0] :
( r1(X0,sK26_skl(X0))
| ~ p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f61,plain,
! [X0] :
( ~ p204(sK26_skl(X0))
| ~ p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f62,plain,
! [X0] :
( r1(X0,sK28_skl(X0))
| sP6_prd(sK27_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f63,plain,
! [X0] :
( ~ p204(sK28_skl(X0))
| sP6_prd(sK27_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f64,plain,
! [X0] :
( r1(X0,sK29_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f65,plain,
! [X0] :
( ~ p104(sK29_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f66,plain,
! [X0] :
( r1(X0,sK30_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f67,plain,
! [X0] :
( ~ p104(sK30_skl(X0))
| ~ p504(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f68,plain,
! [X0] :
( r1(X0,sK31_skl(X0))
| ~ p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f69,plain,
! [X0] :
( ~ p104(sK31_skl(X0))
| ~ p404(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f70,plain,
! [X0] :
( r1(X0,sK33_skl(X0))
| sP7_prd(sK32_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f71,plain,
! [X0] :
( ~ p104(sK33_skl(X0))
| sP7_prd(sK32_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f72,plain,
! [X0] :
( r1(X0,sK35_skl(X0))
| sP8_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f73,plain,
! [X0] :
( ~ p104(sK35_skl(X0))
| sP8_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f74,plain,
! [X0] :
( ~ p503(X0)
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f75,plain,
! [X0] :
( ~ p403(X0)
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f76,plain,
! [X0] :
( ~ p403(X0)
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f77,plain,
! [X0] :
( ~ p303(X0)
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f78,plain,
! [X0] :
( ~ p303(X0)
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f79,plain,
! [X0] :
( ~ p303(X0)
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f80,plain,
! [X0] :
( r1(X0,sK36_skl(X0))
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f81,plain,
! [X0] :
( ~ p203(sK36_skl(X0))
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f82,plain,
! [X0] :
( r1(X0,sK37_skl(X0))
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f83,plain,
! [X0] :
( ~ p203(sK37_skl(X0))
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f84,plain,
! [X0] :
( r1(X0,sK38_skl(X0))
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f85,plain,
! [X0] :
( ~ p203(sK38_skl(X0))
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f86,plain,
! [X0] :
( r1(X0,sK39_skl(X0))
| ~ p303(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f87,plain,
! [X0] :
( ~ p203(sK39_skl(X0))
| ~ p303(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f88,plain,
! [X0] :
( r1(X0,sK40_skl(X0))
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f89,plain,
! [X0] :
( ~ p103(sK40_skl(X0))
| ~ p603(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f90,plain,
! [X0] :
( r1(X0,sK41_skl(X0))
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f91,plain,
! [X0] :
( ~ p103(sK41_skl(X0))
| ~ p503(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f92,plain,
! [X0] :
( r1(X0,sK42_skl(X0))
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f93,plain,
! [X0] :
( ~ p103(sK42_skl(X0))
| ~ p403(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f94,plain,
! [X0] :
( r1(X0,sK43_skl(X0))
| ~ p303(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f95,plain,
! [X0] :
( ~ p103(sK43_skl(X0))
| ~ p303(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f96,plain,
! [X0] :
( r1(X0,sK45_skl(X0))
| sP9_prd(sK44_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f97,plain,
! [X0] :
( ~ p103(sK45_skl(X0))
| sP9_prd(sK44_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f98,plain,
! [X0] :
( ~ p502(X0)
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f99,plain,
! [X0] :
( ~ p402(X0)
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f100,plain,
! [X0] :
( ~ p402(X0)
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f101,plain,
! [X0] :
( ~ p302(X0)
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f102,plain,
! [X0] :
( ~ p302(X0)
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f103,plain,
! [X0] :
( ~ p302(X0)
| ~ p402(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f104,plain,
! [X0] :
( ~ p202(X0)
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f105,plain,
! [X0] :
( ~ p202(X0)
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f106,plain,
! [X0] :
( ~ p202(X0)
| ~ p402(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f107,plain,
! [X0] :
( ~ p202(X0)
| ~ p302(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f108,plain,
! [X0] :
( r1(X0,sK46_skl(X0))
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f109,plain,
! [X0] :
( ~ p102(sK46_skl(X0))
| ~ p602(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f110,plain,
! [X0] :
( r1(X0,sK47_skl(X0))
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f111,plain,
! [X0] :
( ~ p102(sK47_skl(X0))
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f112,plain,
! [X0] :
( r1(X0,sK48_skl(X0))
| ~ p402(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f113,plain,
! [X0] :
( ~ p102(sK48_skl(X0))
| ~ p402(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f114,plain,
! [X0] :
( r1(X0,sK49_skl(X0))
| ~ p302(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f115,plain,
! [X0] :
( ~ p102(sK49_skl(X0))
| ~ p302(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f116,plain,
! [X0] :
( r1(X0,sK50_skl(X0))
| ~ p202(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f117,plain,
! [X0] :
( ~ p102(sK50_skl(X0))
| ~ p202(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f118,plain,
! [X0] :
( ~ p501(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f119,plain,
! [X0] :
( ~ p401(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f120,plain,
! [X0] :
( ~ p401(X0)
| ~ p501(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f121,plain,
! [X0] :
( ~ p301(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f122,plain,
! [X0] :
( ~ p301(X0)
| ~ p501(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f123,plain,
! [X0] :
( ~ p301(X0)
| ~ p401(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f124,plain,
! [X0] :
( ~ p201(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f125,plain,
! [X0] :
( ~ p201(X0)
| ~ p501(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f126,plain,
! [X0] :
( ~ p201(X0)
| ~ p401(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f127,plain,
! [X0] :
( ~ p201(X0)
| ~ p301(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f128,plain,
! [X0] :
( ~ p101(X0)
| ~ p601(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f129,plain,
! [X0] :
( ~ p101(X0)
| ~ p501(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f130,plain,
! [X0] :
( ~ p101(X0)
| ~ p401(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f131,plain,
! [X0] :
( ~ p101(X0)
| ~ p301(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f132,plain,
! [X0] :
( ~ p101(X0)
| ~ p201(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f133,plain,
( p601(sK0_skl)
| p602(sK0_skl)
| p603(sK0_skl)
| p604(sK0_skl)
| p605(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f134,plain,
( p501(sK0_skl)
| p502(sK0_skl)
| p503(sK0_skl)
| p504(sK0_skl)
| p505(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f135,plain,
! [X0] :
( p401(sK0_skl)
| p402(sK0_skl)
| p403(sK0_skl)
| p404(sK0_skl)
| p405(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f136,plain,
! [X0,X1] :
( p301(sK0_skl)
| p302(sK0_skl)
| p303(sK0_skl)
| p304(X1)
| ~ r1(sK0_skl,X1)
| p305(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f137,plain,
! [X0,X1,X2] :
( p201(sK0_skl)
| p202(sK0_skl)
| p203(X2)
| ~ r1(sK0_skl,X2)
| p204(X1)
| ~ r1(sK0_skl,X1)
| p205(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( p101(sK0_skl)
| p102(X3)
| ~ r1(sK0_skl,X3)
| p103(X2)
| ~ r1(sK0_skl,X2)
| p104(X1)
| ~ r1(sK0_skl,X1)
| p105(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f139,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)],[f6]) ).
fof(f140,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)],[f139]) ).
fof(f141,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
! [X0,X1] :
( ~ p405(X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f144,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)],[f7]) ).
fof(f145,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)],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( ~ p405(X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f149,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)],[f8]) ).
fof(f150,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)],[f149]) ).
fof(f151,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
! [X0,X1] :
( ~ p305(X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f154,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)],[f9]) ).
fof(f155,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)],[f154]) ).
fof(f156,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
! [X0,X1] :
( ~ p405(X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f158,plain,
! [X0,X1] :
( p405(X0)
| ~ r1(X1,X0)
| sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f159,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)],[f10]) ).
fof(f160,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)],[f159]) ).
fof(f161,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
! [X0,X1] :
( ~ p305(X0)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f163,plain,
! [X0,X1] :
( p305(X0)
| ~ r1(X1,X0)
| sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f164,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)],[f11]) ).
fof(f165,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)],[f164]) ).
fof(f166,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
! [X0,X1] :
( ~ p205(X0)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f169,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)],[f12]) ).
fof(f170,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)],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
! [X0,X1] :
( ~ p304(X0)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f174,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)],[f13]) ).
fof(f175,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)],[f174]) ).
fof(f176,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
! [X0,X1] :
( ~ p304(X0)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f179,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)],[f14]) ).
fof(f180,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)],[f179]) ).
fof(f181,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
! [X0,X1] :
( ~ p204(X0)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f183,plain,
! [X0,X1] :
( p204(X0)
| ~ r1(X1,X0)
| sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f184,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)],[f15]) ).
fof(f185,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)],[f184]) ).
fof(f186,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
! [X0,X1] :
( ~ p203(X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f188,plain,
! [X0,X1] :
( p203(X0)
| ~ r1(X1,X0)
| sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f189,definition,
( sQ0_spl
<=> p605(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ0_spl
| p605(sK0_skl) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,definition,
( sQ1_spl
<=> p604(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ1_spl
| p604(sK0_skl) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
( sQ2_spl
<=> p603(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ2_spl
| p603(sK0_skl) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ3_spl
<=> p602(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ3_spl
| p602(sK0_skl) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ4_spl
<=> p601(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ4_spl
| p601(sK0_skl) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f133,f189,f192,f195,f198,f201]) ).
fof(f205,definition,
( sQ5_spl
<=> p505(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ5_spl
| p505(sK0_skl) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ6_spl
<=> p504(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ6_spl
| p504(sK0_skl) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ7_spl
<=> p503(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ7_spl
| p503(sK0_skl) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ8_spl
<=> p502(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ8_spl
| p502(sK0_skl) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ9_spl
<=> p501(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ9_spl
| p501(sK0_skl) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f134,f205,f208,f211,f214,f217]) ).
fof(f221,definition,
! [X0] :
( sQ10_spl
<=> ( p405(X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f222,plain,
! [X0] :
( ~ sQ10_spl
| p405(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ11_spl
<=> p404(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ11_spl
| p404(sK0_skl) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ12_spl
<=> p403(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ12_spl
| p403(sK0_skl) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ13_spl
<=> p402(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ13_spl
| p402(sK0_skl) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ14_spl
<=> p401(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ14_spl
| p401(sK0_skl) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f135,f221,f224,f227,f230,f233]) ).
fof(f237,definition,
! [X0] :
( sQ15_spl
<=> ( p305(X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f238,plain,
! [X0] :
( ~ sQ15_spl
| p305(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
! [X1] :
( sQ16_spl
<=> ( p304(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f241,plain,
! [X0] :
( ~ sQ16_spl
| p304(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ17_spl
<=> p303(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ17_spl
| p303(sK0_skl) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ18_spl
<=> p302(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ18_spl
| p302(sK0_skl) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ19_spl
<=> p301(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ19_spl
| p301(sK0_skl) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f136,f237,f240,f243,f246,f249]) ).
fof(f253,definition,
! [X0] :
( sQ20_spl
<=> ( p205(X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f254,plain,
! [X0] :
( ~ sQ20_spl
| p205(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
! [X1] :
( sQ21_spl
<=> ( p204(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f257,plain,
! [X0] :
( ~ sQ21_spl
| p204(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
! [X2] :
( sQ22_spl
<=> ( p203(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f260,plain,
! [X0] :
( ~ sQ22_spl
| p203(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ23_spl
<=> p202(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ23_spl
| p202(sK0_skl) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ24_spl
<=> p201(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ24_spl
| p201(sK0_skl) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f137,f253,f256,f259,f262,f265]) ).
fof(f269,definition,
! [X0] :
( sQ25_spl
<=> ( p105(X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f270,plain,
! [X0] :
( ~ sQ25_spl
| p105(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
! [X1] :
( sQ26_spl
<=> ( p104(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f273,plain,
! [X0] :
( ~ sQ26_spl
| p104(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
! [X2] :
( sQ27_spl
<=> ( p103(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f276,plain,
! [X0] :
( ~ sQ27_spl
| p103(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
! [X3] :
( sQ28_spl
<=> ( p102(X3)
| ~ r1(sK0_skl,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f279,plain,
! [X0] :
( ~ sQ28_spl
| p102(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ29_spl
<=> p101(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ29_spl
| p101(sK0_skl) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f138,f269,f272,f275,f278,f281]) ).
fof(f285,plain,
( ~ sQ5_spl
| ~ p605(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f206,f18]) ).
fof(f286,definition,
( sQ30_spl
<=> r1(sK0_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( sQ30_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f285,f286,f189,f205]) ).
fof(f290,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f288,f4]) ).
fof(f291,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f290]) ).
fof(f292,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sP9_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f260,f187]) ).
fof(f293,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sP8_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f257,f182]) ).
fof(f294,plain,
! [X0] :
( ~ sQ20_spl
| ~ p605(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f254,f30]) ).
fof(f295,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sP5_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f254,f167]) ).
fof(f296,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sP7_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f241,f177]) ).
fof(f297,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sP6_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f241,f172]) ).
fof(f299,plain,
( ~ sQ15_spl
| p305(sK0_skl) ),
inference(resolution,[status(thm)],[f238,f4]) ).
fof(f300,definition,
( sQ31_spl
<=> p305(sK6_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ31_spl
| p305(sK6_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,definition,
( sQ32_spl
<=> sP0_prd(sK5_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ32_spl
| sP0_prd(sK5_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f307,plain,
( ~ sQ31_spl
| sP0_prd(sK5_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f301,f28]) ).
fof(f310,plain,
( ~ sQ31_spl
| sQ32_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f307,f286,f303,f300]) ).
fof(f311,plain,
( ~ sQ10_spl
| sP0_prd(sK5_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| p405(sK6_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f222,f27]) ).
fof(f312,plain,
( ~ sQ10_spl
| p405(sK0_skl) ),
inference(resolution,[status(thm)],[f222,f4]) ).
fof(f313,definition,
( sQ33_spl
<=> p405(sK6_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ10_spl
| sQ32_spl
| ~ sQ30_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f311,f313,f286,f303,f221]) ).
fof(f320,plain,
( ~ sQ32_spl
| r1(sK0_skl,sK5_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f304,f141]) ).
fof(f321,plain,
! [X0] :
( ~ sQ20_spl
| ~ r1(sK0_skl,sK10_skl(X0))
| sP1_prd(sK9_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f34,f254]) ).
fof(f322,plain,
( ~ sQ11_spl
| ~ p504(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f49,f225]) ).
fof(f323,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f322,f286,f208,f224]) ).
fof(f324,plain,
! [X0] :
( ~ sQ20_spl
| ~ r1(sK0_skl,sK12_skl(X0))
| sP2_prd(sK11_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f36,f254]) ).
fof(f325,plain,
( ~ sQ12_spl
| ~ p503(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f76,f228]) ).
fof(f326,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f325,f286,f211,f227]) ).
fof(f327,plain,
( ~ sQ13_spl
| ~ p502(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f100,f231]) ).
fof(f328,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f327,f286,f214,f230]) ).
fof(f329,plain,
( ~ sQ23_spl
| ~ p302(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f107,f263]) ).
fof(f330,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f329,f286,f246,f262]) ).
fof(f331,plain,
! [X0] :
( ~ sQ25_spl
| ~ r1(sK0_skl,sK16_skl(X0))
| sP3_prd(sK15_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f42,f270]) ).
fof(f332,plain,
( ~ sQ9_spl
| ~ p601(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f118,f218]) ).
fof(f333,plain,
( ~ sQ9_spl
| ~ sQ4_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f332,f286,f201,f217]) ).
fof(f334,plain,
( ~ sQ3_spl
| ~ p202(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f199,f104]) ).
fof(f335,plain,
( ~ sQ3_spl
| ~ p302(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f199,f101]) ).
fof(f336,plain,
( ~ sQ3_spl
| ~ p402(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f199,f99]) ).
fof(f337,plain,
( ~ sQ3_spl
| ~ p502(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f199,f98]) ).
fof(f338,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f334,f286,f262,f198]) ).
fof(f339,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f335,f286,f246,f198]) ).
fof(f340,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f336,f286,f230,f198]) ).
fof(f341,plain,
( ~ sQ3_spl
| ~ sQ8_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f337,f286,f214,f198]) ).
fof(f342,plain,
( ~ sQ5_spl
| ~ p105(sK14_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f206,f40]) ).
fof(f343,plain,
( ~ sQ5_spl
| r1(sK0_skl,sK14_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f206,f39]) ).
fof(f344,plain,
( ~ sQ5_spl
| ~ p205(sK8_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f206,f32]) ).
fof(f345,plain,
( ~ sQ5_spl
| r1(sK0_skl,sK8_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f206,f31]) ).
fof(f346,plain,
( ~ sQ5_spl
| r1(sK0_skl,sK4_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f206,f25]) ).
fof(f347,plain,
( ~ sQ5_spl
| r1(sK0_skl,sK2_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f206,f21]) ).
fof(f349,definition,
( sQ34_spl
<=> p105(sK14_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( sQ34_spl
| ~ p105(sK14_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( ~ sQ5_spl
| ~ sQ34_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f342,f286,f349,f205]) ).
fof(f353,definition,
( sQ35_spl
<=> r1(sK0_skl,sK14_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ35_spl
| r1(sK0_skl,sK14_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( ~ sQ5_spl
| sQ35_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f343,f286,f353,f205]) ).
fof(f357,definition,
( sQ36_spl
<=> p205(sK8_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( sQ36_spl
| ~ p205(sK8_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( ~ sQ5_spl
| ~ sQ36_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f344,f286,f357,f205]) ).
fof(f361,definition,
( sQ37_spl
<=> r1(sK0_skl,sK8_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ37_spl
| r1(sK0_skl,sK8_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( ~ sQ5_spl
| sQ37_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f345,f286,f361,f205]) ).
fof(f365,definition,
( sQ38_spl
<=> r1(sK0_skl,sK4_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ38_spl
| r1(sK0_skl,sK4_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( ~ sQ5_spl
| sQ38_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f346,f286,f365,f205]) ).
fof(f369,definition,
( sQ39_spl
<=> r1(sK0_skl,sK2_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ39_spl
| r1(sK0_skl,sK2_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( ~ sQ5_spl
| sQ39_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f347,f286,f369,f205]) ).
fof(f374,plain,
( ~ sQ1_spl
| ~ p404(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f193,f48]) ).
fof(f375,plain,
( ~ sQ1_spl
| ~ p504(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f193,f47]) ).
fof(f376,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f374,f286,f224,f192]) ).
fof(f377,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f375,f286,f208,f192]) ).
fof(f378,plain,
! [X0] :
( ~ sQ25_spl
| ~ r1(sK0_skl,sK18_skl(X0))
| sP4_prd(sK17_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f44,f270]) ).
fof(f379,plain,
( ~ sQ8_spl
| ~ p202(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f215,f105]) ).
fof(f380,plain,
( ~ sQ8_spl
| ~ p302(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f215,f102]) ).
fof(f381,plain,
( ~ sQ8_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f379,f286,f262,f214]) ).
fof(f382,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f380,f286,f246,f214]) ).
fof(f383,plain,
( ~ sQ2_spl
| ~ p303(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f196,f77]) ).
fof(f384,plain,
( ~ sQ2_spl
| ~ p403(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f196,f75]) ).
fof(f385,plain,
( ~ sQ2_spl
| ~ p503(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f196,f74]) ).
fof(f386,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f383,f286,f243,f195]) ).
fof(f387,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f384,f286,f227,f195]) ).
fof(f388,plain,
( ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f385,f286,f211,f195]) ).
fof(f393,plain,
( ~ sQ20_spl
| sQ36_spl
| ~ r1(sK0_skl,sK8_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f359,f254]) ).
fof(f394,plain,
! [X0] :
( ~ sQ25_spl
| ~ r1(sK0_skl,sK20_skl(X0))
| sP5_prd(sK19_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f46,f270]) ).
fof(f395,plain,
( ~ sQ25_spl
| sQ34_spl
| ~ r1(sK0_skl,sK14_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f351,f270]) ).
fof(f396,plain,
! [X0] :
( ~ sQ16_spl
| ~ r1(sK0_skl,sK21_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f51,f241]) ).
fof(f397,plain,
( ~ sQ20_spl
| sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f362]) ).
fof(f398,plain,
( ~ sQ20_spl
| sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f397]) ).
fof(f399,plain,
( ~ sQ25_spl
| sQ34_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f395,f354]) ).
fof(f400,plain,
( ~ sQ25_spl
| sQ34_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f399]) ).
fof(f401,plain,
( ~ sQ19_spl
| ~ p401(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f123,f250]) ).
fof(f402,plain,
( ~ sQ19_spl
| ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f401,f286,f233,f249]) ).
fof(f403,plain,
( ~ sQ12_spl
| ~ p303(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f228,f79]) ).
fof(f405,plain,
( ~ sQ12_spl
| ~ sQ17_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f403,f286,f243,f227]) ).
fof(f407,plain,
( ~ sQ7_spl
| ~ p303(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f212,f78]) ).
fof(f408,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f407,f286,f243,f211]) ).
fof(f409,plain,
! [X0] :
( ~ sQ21_spl
| ~ r1(sK0_skl,sK24_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f57,f257]) ).
fof(f414,plain,
! [X0] :
( ~ sQ10_spl
| ~ sP3_prd(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f312,f157]) ).
fof(f417,plain,
! [X0] :
( ~ sQ10_spl
| ~ p505(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK2_skl(X0)) ),
inference(resolution,[status(thm)],[f222,f22]) ).
fof(f418,plain,
! [X0] :
( ~ sQ10_spl
| ~ p605(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK1_skl(X0)) ),
inference(resolution,[status(thm)],[f222,f20]) ).
fof(f419,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sP3_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f222,f157]) ).
fof(f420,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sP1_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f222,f147]) ).
fof(f421,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sP0_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f222,f142]) ).
fof(f422,plain,
( ~ sQ24_spl
| ~ p301(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f127,f266]) ).
fof(f423,plain,
( ~ sQ24_spl
| ~ sQ19_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f422,f286,f249,f265]) ).
fof(f424,plain,
( ~ sQ14_spl
| ~ p201(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f234,f126]) ).
fof(f425,plain,
( ~ sQ14_spl
| ~ sQ24_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f424,f286,f265,f233]) ).
fof(f426,plain,
( ~ sQ29_spl
| ~ p401(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f130,f282]) ).
fof(f427,plain,
( ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f426,f286,f233,f281]) ).
fof(f428,plain,
! [X0] :
( ~ sQ21_spl
| ~ r1(sK0_skl,sK28_skl(X0))
| sP6_prd(sK27_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f63,f257]) ).
fof(f434,plain,
! [X0] :
( ~ sQ26_spl
| ~ r1(sK0_skl,sK29_skl(X0))
| ~ p604(X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f65,f273]) ).
fof(f439,plain,
! [X0,X1,X2] :
( ~ sP9_prd(X0,X2)
| ~ r1(X1,X0)
| sP9_prd(X0,X1) ),
inference(resolution,[status(thm)],[f188,f187]) ).
fof(f440,plain,
! [X0] :
( ~ sQ26_spl
| ~ r1(sK0_skl,sK33_skl(X0))
| sP7_prd(sK32_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f71,f273]) ).
fof(f441,plain,
! [X0] :
( ~ sQ28_spl
| ~ r1(sK0_skl,sK47_skl(X0))
| ~ p502(X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f111,f279]) ).
fof(f442,plain,
! [X0] :
( ~ sQ26_spl
| ~ r1(sK0_skl,sK35_skl(X0))
| sP8_prd(sK34_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f73,f273]) ).
fof(f443,plain,
! [X0] :
( ~ sQ27_spl
| ~ r1(sK0_skl,sK45_skl(X0))
| sP9_prd(sK44_skl(X0),X0)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f97,f276]) ).
fof(f444,plain,
( ~ sQ16_spl
| ~ p604(sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| ~ p604(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f396,f50]) ).
fof(f445,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f444,f286,f192,f240]) ).
fof(f446,plain,
( ~ sQ2_spl
| r1(sK0_skl,sK40_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f196,f88]) ).
fof(f447,plain,
( ~ sQ2_spl
| r1(sK0_skl,sK36_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f196,f80]) ).
fof(f448,plain,
( ~ sQ2_spl
| ~ p103(sK40_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f196,f89]) ).
fof(f449,plain,
( ~ sQ2_spl
| ~ p203(sK36_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f196,f81]) ).
fof(f453,definition,
( sQ40_spl
<=> r1(sK0_skl,sK40_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ40_spl
| r1(sK0_skl,sK40_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( ~ sQ2_spl
| sQ40_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f446,f286,f453,f195]) ).
fof(f457,definition,
( sQ41_spl
<=> r1(sK0_skl,sK36_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ41_spl
| r1(sK0_skl,sK36_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( ~ sQ2_spl
| sQ41_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f447,f286,f457,f195]) ).
fof(f461,definition,
( sQ42_spl
<=> p103(sK40_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( sQ42_spl
| ~ p103(sK40_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f448,f286,f461,f195]) ).
fof(f465,definition,
( sQ43_spl
<=> p203(sK36_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( sQ43_spl
| ~ p203(sK36_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( ~ sQ2_spl
| ~ sQ43_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f449,f286,f465,f195]) ).
fof(f472,plain,
( ~ sQ11_spl
| r1(sK0_skl,sK31_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f225,f68]) ).
fof(f473,plain,
( ~ sQ11_spl
| ~ p104(sK31_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f225,f69]) ).
fof(f474,plain,
( ~ sQ11_spl
| ~ p204(sK26_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f225,f61]) ).
fof(f475,plain,
( ~ sQ11_spl
| r1(sK0_skl,sK26_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f225,f60]) ).
fof(f476,plain,
( ~ sQ11_spl
| ~ p304(sK23_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f225,f55]) ).
fof(f477,plain,
( ~ sQ11_spl
| r1(sK0_skl,sK23_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f225,f54]) ).
fof(f479,definition,
( sQ44_spl
<=> r1(sK0_skl,sK31_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ44_spl
| r1(sK0_skl,sK31_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( ~ sQ11_spl
| sQ44_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f472,f286,f479,f224]) ).
fof(f483,definition,
( sQ45_spl
<=> p104(sK31_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( sQ45_spl
| ~ p104(sK31_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( ~ sQ11_spl
| ~ sQ45_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f473,f286,f483,f224]) ).
fof(f487,definition,
( sQ46_spl
<=> p204(sK26_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ46_spl
| ~ p204(sK26_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( ~ sQ11_spl
| ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f474,f286,f487,f224]) ).
fof(f491,definition,
( sQ47_spl
<=> r1(sK0_skl,sK26_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ47_spl
| r1(sK0_skl,sK26_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( ~ sQ11_spl
| sQ47_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f475,f286,f491,f224]) ).
fof(f495,definition,
( sQ48_spl
<=> p304(sK23_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ48_spl
| ~ p304(sK23_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( ~ sQ11_spl
| ~ sQ48_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f476,f286,f495,f224]) ).
fof(f499,definition,
( sQ49_spl
<=> r1(sK0_skl,sK23_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ49_spl
| r1(sK0_skl,sK23_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( ~ sQ11_spl
| sQ49_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f477,f286,f499,f224]) ).
fof(f504,plain,
! [X0] :
( ~ sQ15_spl
| sP0_prd(sK5_skl(X0),X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK6_skl(X0)) ),
inference(resolution,[status(thm)],[f238,f28]) ).
fof(f506,plain,
! [X0] :
( ~ sQ15_spl
| ~ p605(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK3_skl(X0)) ),
inference(resolution,[status(thm)],[f238,f24]) ).
fof(f507,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ sP4_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f238,f162]) ).
fof(f508,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ sP2_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f238,f152]) ).
fof(f509,plain,
! [X0] :
( ~ sQ15_spl
| ~ sP4_prd(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f299,f162]) ).
fof(f511,plain,
( ~ sQ29_spl
| ~ p201(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f282,f132]) ).
fof(f512,plain,
( ~ sQ29_spl
| ~ p301(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f282,f131]) ).
fof(f514,plain,
( ~ sQ29_spl
| ~ sQ24_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f511,f286,f265,f281]) ).
fof(f515,plain,
( ~ sQ29_spl
| ~ sQ19_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f512,f286,f249,f281]) ).
fof(f517,plain,
( ~ sQ6_spl
| r1(sK0_skl,sK30_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f209,f66]) ).
fof(f518,plain,
( ~ sQ6_spl
| ~ p104(sK30_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f209,f67]) ).
fof(f519,plain,
( ~ sQ6_spl
| ~ p204(sK25_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f209,f59]) ).
fof(f520,plain,
( ~ sQ6_spl
| r1(sK0_skl,sK25_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f209,f58]) ).
fof(f521,plain,
( ~ sQ6_spl
| ~ p304(sK22_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f209,f53]) ).
fof(f522,plain,
( ~ sQ6_spl
| r1(sK0_skl,sK22_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f209,f52]) ).
fof(f523,definition,
( sQ50_spl
<=> r1(sK0_skl,sK30_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ50_spl
| r1(sK0_skl,sK30_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( ~ sQ6_spl
| sQ50_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f517,f286,f523,f208]) ).
fof(f527,definition,
( sQ51_spl
<=> p104(sK30_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( sQ51_spl
| ~ p104(sK30_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f518,f286,f527,f208]) ).
fof(f531,definition,
( sQ52_spl
<=> p204(sK25_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( sQ52_spl
| ~ p204(sK25_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( ~ sQ6_spl
| ~ sQ52_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f519,f286,f531,f208]) ).
fof(f535,definition,
( sQ53_spl
<=> r1(sK0_skl,sK25_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ53_spl
| r1(sK0_skl,sK25_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( ~ sQ6_spl
| sQ53_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f520,f286,f535,f208]) ).
fof(f539,definition,
( sQ54_spl
<=> p304(sK22_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( sQ54_spl
| ~ p304(sK22_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,plain,
( ~ sQ6_spl
| ~ sQ54_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f521,f286,f539,f208]) ).
fof(f543,definition,
( sQ55_spl
<=> r1(sK0_skl,sK22_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ55_spl
| r1(sK0_skl,sK22_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ sQ6_spl
| sQ55_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f522,f286,f543,f208]) ).
fof(f555,plain,
( ~ sQ12_spl
| r1(sK0_skl,sK42_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f228,f92]) ).
fof(f556,plain,
( ~ sQ12_spl
| r1(sK0_skl,sK38_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f228,f84]) ).
fof(f557,plain,
( ~ sQ12_spl
| ~ p103(sK42_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f228,f93]) ).
fof(f558,plain,
( ~ sQ12_spl
| ~ p203(sK38_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f228,f85]) ).
fof(f561,definition,
( sQ56_spl
<=> r1(sK0_skl,sK42_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ56_spl
| r1(sK0_skl,sK42_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( ~ sQ12_spl
| sQ56_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f555,f286,f561,f227]) ).
fof(f565,definition,
( sQ57_spl
<=> r1(sK0_skl,sK38_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( ~ sQ57_spl
| r1(sK0_skl,sK38_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( ~ sQ12_spl
| sQ57_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f556,f286,f565,f227]) ).
fof(f569,definition,
( sQ58_spl
<=> p103(sK42_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( sQ58_spl
| ~ p103(sK42_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ sQ12_spl
| ~ sQ58_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f557,f286,f569,f227]) ).
fof(f573,definition,
( sQ59_spl
<=> p203(sK38_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( sQ59_spl
| ~ p203(sK38_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,plain,
( ~ sQ12_spl
| ~ sQ59_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f558,f286,f573,f227]) ).
fof(f581,plain,
( ~ sQ7_spl
| r1(sK0_skl,sK41_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f212,f90]) ).
fof(f582,plain,
( ~ sQ7_spl
| r1(sK0_skl,sK37_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f212,f82]) ).
fof(f583,plain,
( ~ sQ7_spl
| ~ p103(sK41_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f212,f91]) ).
fof(f584,plain,
( ~ sQ7_spl
| ~ p203(sK37_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f212,f83]) ).
fof(f586,definition,
( sQ60_spl
<=> r1(sK0_skl,sK41_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ60_spl
| r1(sK0_skl,sK41_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( ~ sQ7_spl
| sQ60_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f581,f286,f586,f211]) ).
fof(f590,definition,
( sQ61_spl
<=> r1(sK0_skl,sK37_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ61_spl
| r1(sK0_skl,sK37_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( ~ sQ7_spl
| sQ61_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f582,f286,f590,f211]) ).
fof(f594,definition,
( sQ62_spl
<=> p103(sK41_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( sQ62_spl
| ~ p103(sK41_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( ~ sQ7_spl
| ~ sQ62_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f583,f286,f594,f211]) ).
fof(f598,definition,
( sQ63_spl
<=> p203(sK37_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( sQ63_spl
| ~ p203(sK37_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( ~ sQ7_spl
| ~ sQ63_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f584,f286,f598,f211]) ).
fof(f619,plain,
( ~ sQ27_spl
| sQ42_spl
| ~ r1(sK0_skl,sK40_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f463,f276]) ).
fof(f620,plain,
! [X0] :
( sQ43_spl
| ~ r1(X0,sK36_skl(sK0_skl))
| sP9_prd(sK36_skl(sK0_skl),X0) ),
inference(resolution,[status(thm)],[f467,f188]) ).
fof(f621,plain,
( ~ sQ22_spl
| sQ43_spl
| ~ r1(sK0_skl,sK36_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f467,f260]) ).
fof(f623,plain,
( ~ sQ21_spl
| sQ46_spl
| ~ r1(sK0_skl,sK26_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f489,f257]) ).
fof(f624,plain,
( ~ sQ26_spl
| sQ45_spl
| ~ r1(sK0_skl,sK31_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f485,f273]) ).
fof(f625,plain,
( ~ sQ21_spl
| sQ52_spl
| ~ r1(sK0_skl,sK25_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f533,f257]) ).
fof(f626,plain,
( ~ sQ26_spl
| sQ51_spl
| ~ r1(sK0_skl,sK30_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f529,f273]) ).
fof(f627,plain,
! [X0] :
( sQ59_spl
| ~ r1(X0,sK38_skl(sK0_skl))
| sP9_prd(sK38_skl(sK0_skl),X0) ),
inference(resolution,[status(thm)],[f575,f188]) ).
fof(f628,plain,
( ~ sQ22_spl
| sQ59_spl
| ~ r1(sK0_skl,sK38_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f575,f260]) ).
fof(f629,plain,
( ~ sQ27_spl
| sQ58_spl
| ~ r1(sK0_skl,sK42_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f571,f276]) ).
fof(f631,plain,
( ~ sQ22_spl
| sQ63_spl
| ~ r1(sK0_skl,sK37_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f600,f260]) ).
fof(f632,plain,
( ~ sQ27_spl
| sQ62_spl
| ~ r1(sK0_skl,sK41_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f596,f276]) ).
fof(f634,plain,
( ~ sQ20_spl
| sP1_prd(sK9_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP1_prd(sK9_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f321,f33]) ).
fof(f635,definition,
( sQ64_spl
<=> sP1_prd(sK9_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ64_spl
| sP1_prd(sK9_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,plain,
( ~ sQ20_spl
| sQ64_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f634,f286,f635,f253]) ).
fof(f639,plain,
( ~ sQ25_spl
| sP3_prd(sK15_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP3_prd(sK15_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f331,f41]) ).
fof(f640,definition,
( sQ65_spl
<=> sP3_prd(sK15_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ65_spl
| sP3_prd(sK15_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,plain,
( ~ sQ25_spl
| sQ65_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f639,f286,f640,f269]) ).
fof(f644,plain,
( ~ sQ21_spl
| ~ p604(sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| ~ p604(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f409,f56]) ).
fof(f645,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f644,f286,f192,f256]) ).
fof(f650,plain,
( ~ sQ26_spl
| ~ p604(sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| ~ p604(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f434,f64]) ).
fof(f651,plain,
( ~ sQ26_spl
| ~ sQ1_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f650,f286,f192,f272]) ).
fof(f652,plain,
( ~ sQ27_spl
| sQ42_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f619,f454]) ).
fof(f653,plain,
( ~ sQ27_spl
| sQ42_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f652]) ).
fof(f654,plain,
( ~ sQ22_spl
| sQ43_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f458]) ).
fof(f655,plain,
( ~ sQ22_spl
| sQ43_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( ~ sQ22_spl
| sQ59_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f566]) ).
fof(f658,plain,
( ~ sQ22_spl
| sQ59_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f657]) ).
fof(f666,plain,
( ~ sQ28_spl
| ~ p502(sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| ~ p502(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f441,f110]) ).
fof(f667,plain,
( ~ sQ28_spl
| ~ sQ8_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f666,f286,f214,f278]) ).
fof(f670,plain,
( ~ sQ27_spl
| sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f629,f562]) ).
fof(f671,plain,
( ~ sQ27_spl
| sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f672,plain,
( ~ sQ64_spl
| r1(sK0_skl,sK9_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f636,f146]) ).
fof(f676,plain,
( ~ sQ65_spl
| r1(sK0_skl,sK15_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f641,f156]) ).
fof(f677,plain,
( ~ sQ15_spl
| sP0_prd(sK5_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP0_prd(sK5_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f504,f27]) ).
fof(f678,plain,
( ~ sQ15_spl
| sQ32_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f677,f286,f303,f237]) ).
fof(f680,plain,
! [X0] :
( ~ sQ15_spl
| p305(sK0_skl)
| ~ r1(X0,sK0_skl) ),
inference(resolution,[status(thm)],[f509,f163]) ).
fof(f681,definition,
! [X0] :
( sQ66_spl
<=> ~ r1(X0,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f682,plain,
! [X0] :
( ~ sQ66_spl
| ~ r1(X0,sK0_skl) ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ67_spl
<=> p305(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ15_spl
| sQ67_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f680,f681,f684,f237]) ).
fof(f688,plain,
( ~ sQ66_spl
| $false ),
inference(resolution,[status(thm)],[f682,f4]) ).
fof(f689,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f702,plain,
! [X0,X1] :
( sQ59_spl
| ~ r1(X1,sK38_skl(sK0_skl))
| sP9_prd(sK38_skl(sK0_skl),X1)
| ~ r1(X0,sK38_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f627,f439]) ).
fof(f704,definition,
! [X0] :
( sQ69_spl
<=> ~ r1(X0,sK38_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f705,plain,
! [X0] :
( ~ sQ69_spl
| ~ r1(X0,sK38_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,definition,
! [X1] :
( sQ70_spl
<=> ( ~ r1(X1,sK38_skl(sK0_skl))
| sP9_prd(sK38_skl(sK0_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( sQ59_spl
| sQ70_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f702,f704,f707,f573]) ).
fof(f711,plain,
( ~ sQ25_spl
| sP4_prd(sK17_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP4_prd(sK17_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f378,f43]) ).
fof(f712,definition,
( sQ71_spl
<=> sP4_prd(sK17_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ71_spl
| sP4_prd(sK17_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( ~ sQ25_spl
| sQ71_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f711,f286,f712,f269]) ).
fof(f716,plain,
( ~ sQ57_spl
| ~ sQ69_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f566,f705]) ).
fof(f718,plain,
( ~ sQ57_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( ~ sQ15_spl
| ~ sQ71_spl
| ~ r1(sK0_skl,sK17_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f713,f507]) ).
fof(f720,plain,
( ~ sQ71_spl
| r1(sK0_skl,sK17_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f713,f161]) ).
fof(f721,plain,
( ~ sQ71_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f720,f719]) ).
fof(f722,plain,
( ~ sQ71_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f742,plain,
( ~ sQ20_spl
| sP2_prd(sK11_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP2_prd(sK11_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f324,f35]) ).
fof(f743,definition,
( sQ74_spl
<=> sP2_prd(sK11_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ74_spl
| sP2_prd(sK11_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( ~ sQ20_spl
| sQ74_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f742,f286,f743,f253]) ).
fof(f752,plain,
( ~ sQ74_spl
| r1(sK0_skl,sK11_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f744,f151]) ).
fof(f760,plain,
( ~ sQ25_spl
| sP5_prd(sK19_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP5_prd(sK19_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f394,f45]) ).
fof(f761,definition,
( sQ75_spl
<=> sP5_prd(sK19_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ75_spl
| sP5_prd(sK19_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,plain,
( ~ sQ25_spl
| sQ75_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f760,f286,f761,f269]) ).
fof(f765,plain,
( ~ sQ20_spl
| ~ sQ75_spl
| ~ r1(sK0_skl,sK19_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f762,f295]) ).
fof(f766,plain,
( ~ sQ75_spl
| r1(sK0_skl,sK19_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f762,f166]) ).
fof(f767,plain,
( ~ sQ75_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f766,f765]) ).
fof(f768,plain,
( ~ sQ75_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f789,plain,
( ~ sQ74_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK11_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f508,f744]) ).
fof(f791,plain,
( ~ sQ74_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f752]) ).
fof(f792,plain,
( ~ sQ74_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f791]) ).
fof(f797,plain,
( ~ sQ17_spl
| r1(sK0_skl,sK43_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f244,f94]) ).
fof(f798,plain,
( ~ sQ17_spl
| r1(sK0_skl,sK39_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f244,f86]) ).
fof(f799,plain,
( ~ sQ17_spl
| ~ p103(sK43_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f244,f95]) ).
fof(f800,plain,
( ~ sQ17_spl
| ~ p203(sK39_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f244,f87]) ).
fof(f801,definition,
( sQ76_spl
<=> r1(sK0_skl,sK43_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ76_spl
| r1(sK0_skl,sK43_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ sQ17_spl
| sQ76_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f797,f286,f801,f243]) ).
fof(f805,definition,
( sQ77_spl
<=> r1(sK0_skl,sK39_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( ~ sQ77_spl
| r1(sK0_skl,sK39_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,plain,
( ~ sQ17_spl
| sQ77_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f798,f286,f805,f243]) ).
fof(f809,definition,
( sQ78_spl
<=> p103(sK43_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( sQ78_spl
| ~ p103(sK43_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( ~ sQ17_spl
| ~ sQ78_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f799,f286,f809,f243]) ).
fof(f813,definition,
( sQ79_spl
<=> p203(sK39_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( sQ79_spl
| ~ p203(sK39_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( ~ sQ17_spl
| ~ sQ79_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f800,f286,f813,f243]) ).
fof(f827,plain,
( sQ79_spl
| ~ sQ22_spl
| ~ r1(sK0_skl,sK39_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f260,f815]) ).
fof(f830,plain,
( ~ sQ27_spl
| sQ78_spl
| ~ r1(sK0_skl,sK43_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f811,f276]) ).
fof(f832,plain,
( sQ79_spl
| ~ sQ22_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f827,f806]) ).
fof(f833,plain,
( sQ79_spl
| ~ sQ22_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f832]) ).
fof(f837,plain,
( ~ sQ27_spl
| sQ78_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f830,f802]) ).
fof(f838,plain,
( ~ sQ27_spl
| sQ78_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f861,plain,
( ~ sQ27_spl
| sP9_prd(sK44_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP9_prd(sK44_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f443,f96]) ).
fof(f862,definition,
( sQ83_spl
<=> sP9_prd(sK44_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ83_spl
| sP9_prd(sK44_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( ~ sQ27_spl
| sQ83_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f861,f286,f862,f275]) ).
fof(f866,plain,
( ~ sQ22_spl
| ~ sQ83_spl
| ~ r1(sK0_skl,sK44_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f863,f292]) ).
fof(f868,plain,
( ~ sQ83_spl
| r1(sK0_skl,sK44_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f863,f186]) ).
fof(f869,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f868,f866]) ).
fof(f870,plain,
( ~ sQ83_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f869]) ).
fof(f871,plain,
( ~ sQ0_spl
| ~ p105(sK13_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f190,f38]) ).
fof(f872,plain,
( ~ sQ0_spl
| r1(sK0_skl,sK13_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f190,f37]) ).
fof(f873,plain,
( ~ sQ0_spl
| r1(sK0_skl,sK7_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f190,f29]) ).
fof(f874,plain,
( ~ sQ0_spl
| r1(sK0_skl,sK3_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f190,f23]) ).
fof(f875,plain,
( ~ sQ0_spl
| r1(sK0_skl,sK1_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f190,f19]) ).
fof(f877,definition,
( sQ84_spl
<=> p105(sK13_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( sQ84_spl
| ~ p105(sK13_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,plain,
( ~ sQ0_spl
| ~ sQ84_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f871,f286,f877,f189]) ).
fof(f881,definition,
( sQ85_spl
<=> r1(sK0_skl,sK13_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( ~ sQ85_spl
| r1(sK0_skl,sK13_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,plain,
( ~ sQ0_spl
| sQ85_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f872,f286,f881,f189]) ).
fof(f885,definition,
( sQ86_spl
<=> r1(sK0_skl,sK7_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ86_spl
| r1(sK0_skl,sK7_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( ~ sQ0_spl
| sQ86_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f873,f286,f885,f189]) ).
fof(f889,definition,
( sQ87_spl
<=> r1(sK0_skl,sK3_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ87_spl
| r1(sK0_skl,sK3_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( ~ sQ0_spl
| sQ87_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f874,f286,f889,f189]) ).
fof(f893,definition,
( sQ88_spl
<=> r1(sK0_skl,sK1_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ88_spl
| r1(sK0_skl,sK1_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,plain,
( ~ sQ0_spl
| sQ88_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f875,f286,f893,f189]) ).
fof(f901,plain,
( ~ sQ15_spl
| ~ sQ87_spl
| ~ p605(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f890,f506]) ).
fof(f902,plain,
( ~ sQ15_spl
| ~ sQ87_spl
| ~ sQ0_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f901,f286,f189,f889,f237]) ).
fof(f931,plain,
( ~ sQ23_spl
| r1(sK0_skl,sK50_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f263,f116]) ).
fof(f932,plain,
( ~ sQ23_spl
| ~ p102(sK50_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f263,f117]) ).
fof(f934,definition,
( sQ89_spl
<=> r1(sK0_skl,sK50_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ89_spl
| r1(sK0_skl,sK50_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( ~ sQ23_spl
| sQ89_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f931,f286,f934,f262]) ).
fof(f938,definition,
( sQ90_spl
<=> p102(sK50_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( sQ90_spl
| ~ p102(sK50_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( ~ sQ23_spl
| ~ sQ90_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f932,f286,f938,f262]) ).
fof(f943,plain,
( ~ sQ13_spl
| r1(sK0_skl,sK48_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f231,f112]) ).
fof(f944,plain,
( ~ sQ13_spl
| ~ p102(sK48_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f231,f113]) ).
fof(f945,plain,
( ~ sQ13_spl
| ~ p202(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f231,f106]) ).
fof(f946,plain,
( ~ sQ13_spl
| ~ p302(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f231,f103]) ).
fof(f948,definition,
( sQ91_spl
<=> r1(sK0_skl,sK48_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ91_spl
| r1(sK0_skl,sK48_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,plain,
( ~ sQ13_spl
| sQ91_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f943,f286,f948,f230]) ).
fof(f952,definition,
( sQ92_spl
<=> p102(sK48_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f954,plain,
( sQ92_spl
| ~ p102(sK48_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,plain,
( ~ sQ13_spl
| ~ sQ92_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f944,f286,f952,f230]) ).
fof(f956,plain,
( ~ sQ13_spl
| ~ sQ23_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f945,f286,f262,f230]) ).
fof(f957,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f946,f286,f246,f230]) ).
fof(f959,plain,
( ~ sQ3_spl
| r1(sK0_skl,sK46_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f199,f108]) ).
fof(f960,plain,
( ~ sQ3_spl
| ~ p102(sK46_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f199,f109]) ).
fof(f965,definition,
( sQ93_spl
<=> r1(sK0_skl,sK46_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ93_spl
| r1(sK0_skl,sK46_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,plain,
( ~ sQ3_spl
| sQ93_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f959,f286,f965,f198]) ).
fof(f969,definition,
( sQ94_spl
<=> p102(sK46_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( sQ94_spl
| ~ p102(sK46_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( ~ sQ3_spl
| ~ sQ94_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f960,f286,f969,f198]) ).
fof(f999,plain,
( sQ84_spl
| ~ sQ25_spl
| ~ r1(sK0_skl,sK13_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f270,f879]) ).
fof(f1003,plain,
( sQ84_spl
| ~ sQ25_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f999,f882]) ).
fof(f1004,plain,
( sQ84_spl
| ~ sQ25_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1003]) ).
fof(f1033,plain,
! [X0,X1] :
( sQ43_spl
| ~ r1(X1,sK36_skl(sK0_skl))
| sP9_prd(sK36_skl(sK0_skl),X1)
| ~ r1(X0,sK36_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f620,f439]) ).
fof(f1035,definition,
! [X0] :
( sQ96_spl
<=> ~ r1(X0,sK36_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ96_spl
| ~ r1(X0,sK36_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,definition,
! [X1] :
( sQ97_spl
<=> ( ~ r1(X1,sK36_skl(sK0_skl))
| sP9_prd(sK36_skl(sK0_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( sQ43_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f1033,f1035,f1038,f465]) ).
fof(f1042,plain,
( ~ sQ41_spl
| ~ sQ96_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f458,f1036]) ).
fof(f1044,plain,
( ~ sQ41_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1042]) ).
fof(f1048,plain,
( ~ sQ21_spl
| sP6_prd(sK27_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP6_prd(sK27_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f428,f62]) ).
fof(f1049,definition,
( sQ98_spl
<=> sP6_prd(sK27_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( ~ sQ98_spl
| sP6_prd(sK27_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,plain,
( ~ sQ21_spl
| sQ98_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1048,f286,f1049,f256]) ).
fof(f1053,plain,
( ~ sQ16_spl
| ~ sQ98_spl
| ~ r1(sK0_skl,sK27_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f1050,f297]) ).
fof(f1054,plain,
( ~ sQ98_spl
| r1(sK0_skl,sK27_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f1050,f171]) ).
fof(f1055,plain,
( ~ sQ98_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1054,f1053]) ).
fof(f1056,plain,
( ~ sQ98_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1055]) ).
fof(f1075,plain,
( ~ sQ26_spl
| sP7_prd(sK32_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP7_prd(sK32_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f440,f70]) ).
fof(f1076,definition,
( sQ99_spl
<=> sP7_prd(sK32_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ99_spl
| sP7_prd(sK32_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,plain,
( ~ sQ26_spl
| sQ99_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1075,f286,f1076,f272]) ).
fof(f1080,plain,
( ~ sQ16_spl
| ~ sQ99_spl
| ~ r1(sK0_skl,sK32_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f1077,f296]) ).
fof(f1081,plain,
( ~ sQ99_spl
| r1(sK0_skl,sK32_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f1077,f176]) ).
fof(f1082,plain,
( ~ sQ99_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f1080]) ).
fof(f1083,plain,
( ~ sQ99_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1082]) ).
fof(f1093,plain,
( ~ sQ26_spl
| sP8_prd(sK34_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl)
| sP8_prd(sK34_skl(sK0_skl),sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f442,f72]) ).
fof(f1094,definition,
( sQ100_spl
<=> sP8_prd(sK34_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( ~ sQ100_spl
| sP8_prd(sK34_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1096,plain,
( sQ100_spl
| ~ sP8_prd(sK34_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,plain,
( ~ sQ26_spl
| sQ100_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1093,f286,f1094,f272]) ).
fof(f1098,plain,
( ~ sQ100_spl
| r1(sK0_skl,sK34_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f1095,f181]) ).
fof(f1105,plain,
( ~ sQ100_spl
| ~ sQ21_spl
| ~ r1(sK0_skl,sK34_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f293,f1095]) ).
fof(f1107,plain,
( ~ sQ100_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1105,f1098]) ).
fof(f1108,plain,
( ~ sQ100_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1107]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ10_spl
| p405(sK0_skl)
| ~ r1(X0,sK0_skl) ),
inference(resolution,[status(thm)],[f414,f158]) ).
fof(f1128,definition,
( sQ101_spl
<=> p405(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( ~ sQ10_spl
| sQ101_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1127,f681,f1128,f221]) ).
fof(f1136,plain,
( sQ100_spl
| p204(sK34_skl(sK0_skl))
| ~ r1(sK0_skl,sK34_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f1096,f183]) ).
fof(f1137,definition,
( sQ102_spl
<=> r1(sK0_skl,sK34_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1139,plain,
( sQ102_spl
| ~ r1(sK0_skl,sK34_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,definition,
( sQ103_spl
<=> p204(sK34_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1141,plain,
( ~ sQ103_spl
| p204(sK34_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1143,plain,
( sQ100_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1136,f1137,f1140,f1094]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ103_spl
| ~ sP8_prd(sK34_skl(sK0_skl),X0) ),
inference(resolution,[status(thm)],[f1141,f182]) ).
fof(f1150,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK15_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f419,f641]) ).
fof(f1152,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1150,f676]) ).
fof(f1153,plain,
( ~ sQ65_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1152]) ).
fof(f1154,plain,
( ~ sQ100_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1095,f1144]) ).
fof(f1155,plain,
( ~ sQ100_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f1154]) ).
fof(f1156,plain,
( ~ sQ100_spl
| sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1098,f1139]) ).
fof(f1157,plain,
( ~ sQ100_spl
| sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1170,plain,
( ~ sQ64_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK9_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f420,f636]) ).
fof(f1172,plain,
( ~ sQ64_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1170,f672]) ).
fof(f1173,plain,
( ~ sQ64_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1172]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ15_spl
| ~ p505(X0)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK4_skl(X0)) ),
inference(resolution,[status(thm)],[f238,f26]) ).
fof(f1188,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK5_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f421,f304]) ).
fof(f1190,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1188,f320]) ).
fof(f1191,plain,
( ~ sQ32_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1190]) ).
fof(f1211,plain,
( ~ sQ47_spl
| ~ sQ21_spl
| sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f492,f623]) ).
fof(f1212,plain,
( ~ sQ47_spl
| ~ sQ21_spl
| sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1211]) ).
fof(f1213,plain,
( ~ sQ26_spl
| sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f480]) ).
fof(f1214,plain,
( ~ sQ26_spl
| sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( ~ sQ18_spl
| r1(sK0_skl,sK49_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f247,f114]) ).
fof(f1216,plain,
( ~ sQ18_spl
| ~ p102(sK49_skl(sK0_skl))
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f247,f115]) ).
fof(f1217,definition,
( sQ105_spl
<=> r1(sK0_skl,sK49_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1218,plain,
( ~ sQ105_spl
| r1(sK0_skl,sK49_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,plain,
( ~ sQ18_spl
| sQ105_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1215,f286,f1217,f246]) ).
fof(f1221,definition,
( sQ106_spl
<=> p102(sK49_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1223,plain,
( sQ106_spl
| ~ p102(sK49_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,plain,
( ~ sQ18_spl
| ~ sQ106_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1216,f286,f1221,f246]) ).
fof(f1239,plain,
( sQ48_spl
| ~ sQ16_spl
| ~ r1(sK0_skl,sK23_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f241,f497]) ).
fof(f1243,plain,
( sQ48_spl
| ~ sQ16_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f500]) ).
fof(f1244,plain,
( sQ48_spl
| ~ sQ16_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1243]) ).
fof(f1266,plain,
( sQ106_spl
| ~ sQ28_spl
| ~ r1(sK0_skl,sK49_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f279,f1223]) ).
fof(f1267,plain,
( sQ94_spl
| ~ sQ28_spl
| ~ r1(sK0_skl,sK46_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f279,f971]) ).
fof(f1268,plain,
( sQ92_spl
| ~ sQ28_spl
| ~ r1(sK0_skl,sK48_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f279,f954]) ).
fof(f1269,plain,
( sQ90_spl
| ~ sQ28_spl
| ~ r1(sK0_skl,sK50_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f279,f940]) ).
fof(f1271,plain,
( sQ94_spl
| ~ sQ28_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1267,f966]) ).
fof(f1272,plain,
( sQ94_spl
| ~ sQ28_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( sQ92_spl
| ~ sQ28_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1268,f949]) ).
fof(f1274,plain,
( sQ92_spl
| ~ sQ28_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1275,plain,
( sQ90_spl
| ~ sQ28_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f935]) ).
fof(f1276,plain,
( sQ90_spl
| ~ sQ28_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( sQ106_spl
| ~ sQ28_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1266,f1218]) ).
fof(f1278,plain,
( sQ106_spl
| ~ sQ28_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1283,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ p505(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1175,f366]) ).
fof(f1284,plain,
( ~ sQ38_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1283,f286,f205,f237,f365]) ).
fof(f1334,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ p605(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f294,f886]) ).
fof(f1335,plain,
( ~ sQ86_spl
| ~ sQ20_spl
| ~ sQ0_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1334,f286,f189,f253,f885]) ).
fof(f1374,plain,
( ~ sQ9_spl
| ~ p101(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f218,f129]) ).
fof(f1375,plain,
( ~ sQ9_spl
| ~ p201(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f218,f125]) ).
fof(f1376,plain,
( ~ sQ9_spl
| ~ p301(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f218,f122]) ).
fof(f1377,plain,
( ~ sQ9_spl
| ~ p401(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f218,f120]) ).
fof(f1379,plain,
( ~ sQ9_spl
| ~ sQ29_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1374,f286,f281,f217]) ).
fof(f1380,plain,
( ~ sQ9_spl
| ~ sQ24_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1375,f286,f265,f217]) ).
fof(f1381,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1376,f286,f249,f217]) ).
fof(f1382,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1377,f286,f233,f217]) ).
fof(f1415,plain,
( ~ sQ4_spl
| ~ p101(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f202,f128]) ).
fof(f1416,plain,
( ~ sQ4_spl
| ~ p201(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f202,f124]) ).
fof(f1417,plain,
( ~ sQ4_spl
| ~ p301(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f202,f121]) ).
fof(f1418,plain,
( ~ sQ4_spl
| ~ p401(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f202,f119]) ).
fof(f1419,plain,
( ~ sQ4_spl
| ~ sQ29_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1415,f286,f281,f201]) ).
fof(f1420,plain,
( ~ sQ4_spl
| ~ sQ24_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1416,f286,f265,f201]) ).
fof(f1421,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1417,f286,f249,f201]) ).
fof(f1422,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1418,f286,f233,f201]) ).
fof(f1471,plain,
( ~ sQ27_spl
| sQ62_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f632,f587]) ).
fof(f1472,plain,
( ~ sQ27_spl
| sQ62_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1471]) ).
fof(f1473,plain,
( ~ sQ22_spl
| sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f591]) ).
fof(f1474,plain,
( ~ sQ22_spl
| sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1473]) ).
fof(f1521,plain,
( ~ sQ16_spl
| sQ54_spl
| ~ r1(sK0_skl,sK22_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f541,f241]) ).
fof(f1530,plain,
( ~ sQ16_spl
| sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1521,f544]) ).
fof(f1531,plain,
( ~ sQ16_spl
| sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1530]) ).
fof(f1532,plain,
( ~ sQ26_spl
| sQ51_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f524]) ).
fof(f1533,plain,
( ~ sQ26_spl
| sQ51_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1532]) ).
fof(f1534,plain,
( ~ sQ21_spl
| sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f625,f536]) ).
fof(f1535,plain,
( ~ sQ21_spl
| sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1584,plain,
( ~ sQ39_spl
| ~ sQ10_spl
| ~ p505(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f417,f370]) ).
fof(f1585,plain,
( ~ sQ39_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1584,f286,f205,f221,f369]) ).
fof(f1604,plain,
( ~ sQ10_spl
| ~ sQ88_spl
| ~ p605(sK0_skl)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f894,f418]) ).
fof(f1605,plain,
( ~ sQ10_spl
| ~ sQ88_spl
| ~ sQ0_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1604,f286,f189,f893,f221]) ).
fof(f1606,plain,
$false,
inference(sat_refutation,[status(thm)],[f204,f220,f236,f252,f268,f284,f289,f291,f310,f316,f323,f326,f328,f330,f333,f338,f339,f340,f341,f352,f356,f360,f364,f368,f372,f376,f377,f381,f382,f386,f387,f388,f398,f400,f402,f405,f408,f423,f425,f427,f445,f456,f460,f464,f468,f482,f486,f490,f494,f498,f502,f514,f515,f526,f530,f534,f538,f542,f546,f564,f568,f572,f576,f589,f593,f597,f601,f638,f643,f645,f651,f653,f655,f658,f667,f671,f678,f687,f689,f710,f715,f718,f722,f746,f764,f768,f792,f804,f808,f812,f816,f833,f838,f865,f870,f880,f884,f888,f892,f896,f902,f937,f941,f951,f955,f956,f957,f968,f972,f1004,f1041,f1044,f1052,f1056,f1079,f1083,f1097,f1108,f1131,f1143,f1153,f1155,f1157,f1173,f1191,f1212,f1214,f1220,f1224,f1244,f1272,f1274,f1276,f1278,f1284,f1335,f1379,f1380,f1381,f1382,f1419,f1420,f1421,f1422,f1472,f1474,f1531,f1533,f1535,f1585,f1605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL666+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n019.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 00:51:06 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 0.27/0.80 % Refutation found
% 0.27/0.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/0.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.84 % Elapsed time: 0.362797 seconds
% 0.27/0.84 % CPU time: 2.388204 seconds
% 0.27/0.84 % Total memory used: 47.515 MB
% 0.27/0.84 % Net memory used: 46.826 MB
%------------------------------------------------------------------------------