%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL684+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 01:08:35 PM UTC 2026
% Result : Theorem 5.92s 1.42s
% Output : CNFRefutation 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 46
% Syntax : Number of formulae : 661 ( 5 unt; 44 def)
% Number of atoms : 4135 ( 0 equ)
% Maximal formula atoms : 316 ( 6 avg)
% Number of connectives : 6861 (3387 ~;2850 |; 580 &)
% ( 44 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 89 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 76 ( 75 usr; 35 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 1 con; 0-2 aty)
% Number of variables : 1347 (1243 !; 104 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,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] :
( ~ ( ~ ! [X] :
( ~ ( p101(X)
& p201(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p101(X)
& p301(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p101(X)
& p401(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p101(X)
& p501(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p101(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p201(X)
& p301(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p201(X)
& p401(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p201(X)
& p501(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p201(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p301(X)
& p401(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p301(X)
& p501(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p301(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p401(X)
& p501(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p401(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p501(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p202(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p302(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p402(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p502(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p202(X)
& p302(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p202(X)
& p402(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p202(X)
& p502(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p202(X)
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p302(X)
& p402(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p302(X)
& p502(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p302(X)
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p402(X)
& p502(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p402(X)
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p502(X)
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p203(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& p303(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& p403(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& p503(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
& p303(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
& p403(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
& p503(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p303(X)
& p403(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p303(X)
& p503(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p303(X)
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p403(X)
& p503(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p403(X)
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p503(X)
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p204(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p304(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& p404(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& p504(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p304(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
& p404(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
& p504(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
& p404(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
& p504(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p404(X)
& p504(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p404(X)
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p504(X)
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p205(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p305(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& p505(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& p605(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p205(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p305(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p205(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p205(Y)
| ~ r1(X,Y) )
& p505(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p205(Y)
| ~ r1(X,Y) )
& p605(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p305(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p305(Y)
| ~ r1(X,Y) )
& p505(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p305(Y)
| ~ r1(X,Y) )
& p605(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p405(Y)
| ~ r1(X,Y) )
& p505(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p405(Y)
| ~ r1(X,Y) )
& p605(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p505(X)
& p605(X) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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] :
( ~ ( ~ ! [X] :
( ~ ( p101(X)
& p201(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p101(X)
& p301(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p101(X)
& p401(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p101(X)
& p501(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p101(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p201(X)
& p301(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p201(X)
& p401(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p201(X)
& p501(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p201(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p301(X)
& p401(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p301(X)
& p501(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p301(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p401(X)
& p501(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p401(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p501(X)
& p601(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p202(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p302(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p402(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p502(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p102(Y)
| ~ r1(X,Y) )
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p202(X)
& p302(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p202(X)
& p402(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p202(X)
& p502(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p202(X)
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p302(X)
& p402(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p302(X)
& p502(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p302(X)
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p402(X)
& p502(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p402(X)
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p502(X)
& p602(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p203(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& p303(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& p403(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& p503(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p103(Y)
| ~ r1(X,Y) )
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
& p303(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
& p403(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
& p503(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p203(Y)
| ~ r1(X,Y) )
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p303(X)
& p403(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p303(X)
& p503(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p303(X)
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p403(X)
& p503(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p403(X)
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p503(X)
& p603(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p204(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p304(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& p404(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& p504(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p104(Y)
| ~ r1(X,Y) )
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p304(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
& p404(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
& p504(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p204(Y)
| ~ r1(X,Y) )
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
& p404(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
& p504(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p304(Y)
| ~ r1(X,Y) )
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p404(X)
& p504(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p404(X)
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p504(X)
& p604(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p205(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p305(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& p505(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p105(Y)
| ~ r1(X,Y) )
& p605(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p205(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p305(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p205(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p205(Y)
| ~ r1(X,Y) )
& p505(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p205(Y)
| ~ r1(X,Y) )
& p605(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p305(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p405(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p305(Y)
| ~ r1(X,Y) )
& p505(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p305(Y)
| ~ r1(X,Y) )
& p605(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p405(Y)
| ~ r1(X,Y) )
& p505(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( ! [Y] :
( p405(Y)
| ~ r1(X,Y) )
& p605(X) )
| ~ r1(Y,X) )
| ~ ! [X] :
( ~ ( p505(X)
& p605(X) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,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] :
( ( ! [X] :
( ~ p101(X)
| ~ p201(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p301(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p401(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p301(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p401(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p301(X)
| ~ p401(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p301(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p301(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p401(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p401(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p501(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p202(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p302(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p402(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p302(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p402(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p302(X)
| ~ p402(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p302(X)
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p302(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p402(X)
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p402(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p502(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p203(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ~ p303(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ~ p403(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p203(Y)
& r1(X,Y) )
| ~ p303(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p203(Y)
& r1(X,Y) )
| ~ p403(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p203(Y)
& r1(X,Y) )
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p203(Y)
& r1(X,Y) )
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p303(X)
| ~ p403(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p303(X)
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p303(X)
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p403(X)
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p403(X)
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p503(X)
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p204(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p304(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ~ p404(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p204(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p304(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p204(Y)
& r1(X,Y) )
| ~ p404(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p204(Y)
& r1(X,Y) )
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p204(Y)
& r1(X,Y) )
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p304(Y)
& r1(X,Y) )
| ~ p404(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p304(Y)
& r1(X,Y) )
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p304(Y)
& r1(X,Y) )
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p404(X)
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p404(X)
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p504(X)
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p205(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p305(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p405(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p205(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p305(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p205(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p405(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p205(Y)
& r1(X,Y) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p205(Y)
& r1(X,Y) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p305(Y)
& r1(X,Y) )
| ? [Y] :
( ~ p405(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p305(Y)
& r1(X,Y) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p305(Y)
& r1(X,Y) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p405(Y)
& r1(X,Y) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p405(Y)
& r1(X,Y) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p505(X)
| ~ p605(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f10,definition,
! [X,Y] :
( sP0_prd(Y,X)
<=> ( ~ p405(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f11,definition,
! [X,Y] :
( sP1_prd(Y,X)
<=> ( ~ p405(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f12,definition,
! [X,Y] :
( sP2_prd(Y,X)
<=> ( ~ p305(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f13,definition,
! [X,Y] :
( sP3_prd(Y,X)
<=> ( ~ p405(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f14,definition,
! [X,Y] :
( sP4_prd(Y,X)
<=> ( ~ p305(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f15,definition,
! [X,Y] :
( sP5_prd(Y,X)
<=> ( ~ p205(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f16,definition,
! [X,Y] :
( sP6_prd(Y,X)
<=> ( ~ p304(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f17,definition,
! [X,Y] :
( sP7_prd(Y,X)
<=> ( ~ p304(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f18,definition,
! [X,Y] :
( sP8_prd(Y,X)
<=> ( ~ p204(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f19,definition,
! [X,Y] :
( sP9_prd(Y,X)
<=> ( ~ p203(Y)
& r1(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f20,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] :
( ( ! [X] :
( ~ p101(X)
| ~ p201(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p301(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p401(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p301(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p401(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p301(X)
| ~ p401(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p301(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p301(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p401(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p401(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p501(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p202(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p302(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p402(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p102(Y)
& r1(X,Y) )
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p302(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p402(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p302(X)
| ~ p402(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p302(X)
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p302(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p402(X)
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p402(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p502(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ? [Y] : sP9_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ~ p303(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ~ p403(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p103(Y)
& r1(X,Y) )
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p203(Y)
& r1(X,Y) )
| ~ p303(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p203(Y)
& r1(X,Y) )
| ~ p403(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p203(Y)
& r1(X,Y) )
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p203(Y)
& r1(X,Y) )
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p303(X)
| ~ p403(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p303(X)
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p303(X)
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p403(X)
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p403(X)
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p503(X)
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ? [Y] : sP8_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ? [Y] : sP7_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ~ p404(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p104(Y)
& r1(X,Y) )
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p204(Y)
& r1(X,Y) )
| ? [Y] : sP6_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p204(Y)
& r1(X,Y) )
| ~ p404(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p204(Y)
& r1(X,Y) )
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p204(Y)
& r1(X,Y) )
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p304(Y)
& r1(X,Y) )
| ~ p404(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p304(Y)
& r1(X,Y) )
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p304(Y)
& r1(X,Y) )
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p404(X)
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p404(X)
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p504(X)
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ? [Y] : sP5_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ? [Y] : sP4_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ? [Y] : sP3_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p105(Y)
& r1(X,Y) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p205(Y)
& r1(X,Y) )
| ? [Y] : sP2_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p205(Y)
& r1(X,Y) )
| ? [Y] : sP1_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p205(Y)
& r1(X,Y) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p205(Y)
& r1(X,Y) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p305(Y)
& r1(X,Y) )
| ? [Y] : sP0_prd(Y,X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p305(Y)
& r1(X,Y) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p305(Y)
& r1(X,Y) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p405(Y)
& r1(X,Y) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ? [Y] :
( ~ p405(Y)
& r1(X,Y) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p505(X)
| ~ p605(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(formula_renaming,[status(thm)],[f9,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f21,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] :
( ( ! [X] :
( ~ p101(X)
| ~ p201(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p301(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p401(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p101(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p301(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p401(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p201(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p301(X)
| ~ p401(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p301(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p301(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p401(X)
| ~ p501(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p401(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p501(X)
| ~ p601(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p102(sK50_skl(X,Y))
& r1(X,sK50_skl(X,Y)) )
| ~ p202(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p102(sK49_skl(X,Y))
& r1(X,sK49_skl(X,Y)) )
| ~ p302(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p102(sK48_skl(X,Y))
& r1(X,sK48_skl(X,Y)) )
| ~ p402(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p102(sK47_skl(X,Y))
& r1(X,sK47_skl(X,Y)) )
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p102(sK46_skl(X,Y))
& r1(X,sK46_skl(X,Y)) )
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p302(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p402(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p202(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p302(X)
| ~ p402(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p302(X)
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p302(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p402(X)
| ~ p502(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p402(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p502(X)
| ~ p602(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p103(sK45_skl(X,Y))
& r1(X,sK45_skl(X,Y)) )
| sP9_prd(sK44_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p103(sK43_skl(X,Y))
& r1(X,sK43_skl(X,Y)) )
| ~ p303(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p103(sK42_skl(X,Y))
& r1(X,sK42_skl(X,Y)) )
| ~ p403(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p103(sK41_skl(X,Y))
& r1(X,sK41_skl(X,Y)) )
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p103(sK40_skl(X,Y))
& r1(X,sK40_skl(X,Y)) )
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p203(sK39_skl(X,Y))
& r1(X,sK39_skl(X,Y)) )
| ~ p303(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p203(sK38_skl(X,Y))
& r1(X,sK38_skl(X,Y)) )
| ~ p403(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p203(sK37_skl(X,Y))
& r1(X,sK37_skl(X,Y)) )
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p203(sK36_skl(X,Y))
& r1(X,sK36_skl(X,Y)) )
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p303(X)
| ~ p403(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p303(X)
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p303(X)
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p403(X)
| ~ p503(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p403(X)
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p503(X)
| ~ p603(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p104(sK35_skl(X,Y))
& r1(X,sK35_skl(X,Y)) )
| sP8_prd(sK34_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p104(sK33_skl(X,Y))
& r1(X,sK33_skl(X,Y)) )
| sP7_prd(sK32_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p104(sK31_skl(X,Y))
& r1(X,sK31_skl(X,Y)) )
| ~ p404(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p104(sK30_skl(X,Y))
& r1(X,sK30_skl(X,Y)) )
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p104(sK29_skl(X,Y))
& r1(X,sK29_skl(X,Y)) )
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p204(sK28_skl(X,Y))
& r1(X,sK28_skl(X,Y)) )
| sP6_prd(sK27_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p204(sK26_skl(X,Y))
& r1(X,sK26_skl(X,Y)) )
| ~ p404(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p204(sK25_skl(X,Y))
& r1(X,sK25_skl(X,Y)) )
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p204(sK24_skl(X,Y))
& r1(X,sK24_skl(X,Y)) )
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p304(sK23_skl(X,Y))
& r1(X,sK23_skl(X,Y)) )
| ~ p404(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p304(sK22_skl(X,Y))
& r1(X,sK22_skl(X,Y)) )
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p304(sK21_skl(X,Y))
& r1(X,sK21_skl(X,Y)) )
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p404(X)
| ~ p504(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p404(X)
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p504(X)
| ~ p604(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p105(sK20_skl(X,Y))
& r1(X,sK20_skl(X,Y)) )
| sP5_prd(sK19_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p105(sK18_skl(X,Y))
& r1(X,sK18_skl(X,Y)) )
| sP4_prd(sK17_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p105(sK16_skl(X,Y))
& r1(X,sK16_skl(X,Y)) )
| sP3_prd(sK15_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p105(sK14_skl(X,Y))
& r1(X,sK14_skl(X,Y)) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p105(sK13_skl(X,Y))
& r1(X,sK13_skl(X,Y)) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p205(sK12_skl(X,Y))
& r1(X,sK12_skl(X,Y)) )
| sP2_prd(sK11_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p205(sK10_skl(X,Y))
& r1(X,sK10_skl(X,Y)) )
| sP1_prd(sK9_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p205(sK8_skl(X,Y))
& r1(X,sK8_skl(X,Y)) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p205(sK7_skl(X,Y))
& r1(X,sK7_skl(X,Y)) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p305(sK6_skl(X,Y))
& r1(X,sK6_skl(X,Y)) )
| sP0_prd(sK5_skl(X,Y),X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p305(sK4_skl(X,Y))
& r1(X,sK4_skl(X,Y)) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p305(sK3_skl(X,Y))
& r1(X,sK3_skl(X,Y)) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p405(sK2_skl(X,Y))
& r1(X,sK2_skl(X,Y)) )
| ~ p505(X)
| ~ r1(Y,X) )
& ! [X] :
( ( ~ p405(sK1_skl(X,Y))
& r1(X,sK1_skl(X,Y)) )
| ~ p605(X)
| ~ r1(Y,X) )
& ! [X] :
( ~ p505(X)
| ~ p605(X)
| ~ r1(Y,X) ) )
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl,sK17_skl,sK18_skl,sK19_skl,sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl,sK40_skl,sK41_skl,sK42_skl,sK43_skl,sK44_skl,sK45_skl,sK46_skl,sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl(X,Y)),skolemize(Y,sK2_skl(X,Y)),skolemize(Y,sK3_skl(X,Y)),skolemize(Y,sK4_skl(X,Y)),skolemize(Y,sK5_skl(X,Y)),skolemize(Y,sK6_skl(X,Y)),skolemize(Y,sK7_skl(X,Y)),skolemize(Y,sK8_skl(X,Y)),skolemize(Y,sK9_skl(X,Y)),skolemize(Y,sK10_skl(X,Y)),skolemize(Y,sK11_skl(X,Y)),skolemize(Y,sK12_skl(X,Y)),skolemize(Y,sK13_skl(X,Y)),skolemize(Y,sK14_skl(X,Y)),skolemize(Y,sK15_skl(X,Y)),skolemize(Y,sK16_skl(X,Y)),skolemize(Y,sK17_skl(X,Y)),skolemize(Y,sK18_skl(X,Y)),skolemize(Y,sK19_skl(X,Y)),skolemize(Y,sK20_skl(X,Y)),skolemize(Y,sK21_skl(X,Y)),skolemize(Y,sK22_skl(X,Y)),skolemize(Y,sK23_skl(X,Y)),skolemize(Y,sK24_skl(X,Y)),skolemize(Y,sK25_skl(X,Y)),skolemize(Y,sK26_skl(X,Y)),skolemize(Y,sK27_skl(X,Y)),skolemize(Y,sK28_skl(X,Y)),skolemize(Y,sK29_skl(X,Y)),skolemize(Y,sK30_skl(X,Y)),skolemize(Y,sK31_skl(X,Y)),skolemize(Y,sK32_skl(X,Y)),skolemize(Y,sK33_skl(X,Y)),skolemize(Y,sK34_skl(X,Y)),skolemize(Y,sK35_skl(X,Y)),skolemize(Y,sK36_skl(X,Y)),skolemize(Y,sK37_skl(X,Y)),skolemize(Y,sK38_skl(X,Y)),skolemize(Y,sK39_skl(X,Y)),skolemize(Y,sK40_skl(X,Y)),skolemize(Y,sK41_skl(X,Y)),skolemize(Y,sK42_skl(X,Y)),skolemize(Y,sK43_skl(X,Y)),skolemize(Y,sK44_skl(X,Y)),skolemize(Y,sK45_skl(X,Y)),skolemize(Y,sK46_skl(X,Y)),skolemize(Y,sK47_skl(X,Y)),skolemize(Y,sK48_skl(X,Y)),skolemize(Y,sK49_skl(X,Y)),skolemize(Y,sK50_skl(X,Y))],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ~ p505(X1)
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( r1(X1,sK1_skl(X1,X0))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f24,plain,
! [X0,X1] :
( ~ p405(sK1_skl(X1,X0))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f25,plain,
! [X0,X1] :
( r1(X1,sK2_skl(X1,X0))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( ~ p405(sK2_skl(X1,X0))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f27,plain,
! [X0,X1] :
( r1(X1,sK3_skl(X1,X0))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f28,plain,
! [X0,X1] :
( ~ p305(sK3_skl(X1,X0))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f29,plain,
! [X0,X1] :
( r1(X1,sK4_skl(X1,X0))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f30,plain,
! [X0,X1] :
( ~ p305(sK4_skl(X1,X0))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f31,plain,
! [X0,X1] :
( r1(X1,sK6_skl(X1,X0))
| sP0_prd(sK5_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f32,plain,
! [X0,X1] :
( ~ p305(sK6_skl(X1,X0))
| sP0_prd(sK5_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f33,plain,
! [X0,X1] :
( r1(X1,sK7_skl(X1,X0))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f34,plain,
! [X0,X1] :
( ~ p205(sK7_skl(X1,X0))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f35,plain,
! [X0,X1] :
( r1(X1,sK8_skl(X1,X0))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f36,plain,
! [X0,X1] :
( ~ p205(sK8_skl(X1,X0))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f37,plain,
! [X0,X1] :
( r1(X1,sK10_skl(X1,X0))
| sP1_prd(sK9_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f38,plain,
! [X0,X1] :
( ~ p205(sK10_skl(X1,X0))
| sP1_prd(sK9_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f39,plain,
! [X0,X1] :
( r1(X1,sK12_skl(X1,X0))
| sP2_prd(sK11_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f40,plain,
! [X0,X1] :
( ~ p205(sK12_skl(X1,X0))
| sP2_prd(sK11_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f41,plain,
! [X0,X1] :
( r1(X1,sK13_skl(X1,X0))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f42,plain,
! [X0,X1] :
( ~ p105(sK13_skl(X1,X0))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f43,plain,
! [X0,X1] :
( r1(X1,sK14_skl(X1,X0))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f44,plain,
! [X0,X1] :
( ~ p105(sK14_skl(X1,X0))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f45,plain,
! [X0,X1] :
( r1(X1,sK16_skl(X1,X0))
| sP3_prd(sK15_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f46,plain,
! [X0,X1] :
( ~ p105(sK16_skl(X1,X0))
| sP3_prd(sK15_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f47,plain,
! [X0,X1] :
( r1(X1,sK18_skl(X1,X0))
| sP4_prd(sK17_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f48,plain,
! [X0,X1] :
( ~ p105(sK18_skl(X1,X0))
| sP4_prd(sK17_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f49,plain,
! [X0,X1] :
( r1(X1,sK20_skl(X1,X0))
| sP5_prd(sK19_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f50,plain,
! [X0,X1] :
( ~ p105(sK20_skl(X1,X0))
| sP5_prd(sK19_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f51,plain,
! [X0,X1] :
( ~ p504(X1)
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f52,plain,
! [X0,X1] :
( ~ p404(X1)
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f53,plain,
! [X0,X1] :
( ~ p404(X1)
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f54,plain,
! [X0,X1] :
( r1(X1,sK21_skl(X1,X0))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f55,plain,
! [X0,X1] :
( ~ p304(sK21_skl(X1,X0))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f56,plain,
! [X0,X1] :
( r1(X1,sK22_skl(X1,X0))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f57,plain,
! [X0,X1] :
( ~ p304(sK22_skl(X1,X0))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f58,plain,
! [X0,X1] :
( r1(X1,sK23_skl(X1,X0))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f59,plain,
! [X0,X1] :
( ~ p304(sK23_skl(X1,X0))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f60,plain,
! [X0,X1] :
( r1(X1,sK24_skl(X1,X0))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f61,plain,
! [X0,X1] :
( ~ p204(sK24_skl(X1,X0))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f62,plain,
! [X0,X1] :
( r1(X1,sK25_skl(X1,X0))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f63,plain,
! [X0,X1] :
( ~ p204(sK25_skl(X1,X0))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f64,plain,
! [X0,X1] :
( r1(X1,sK26_skl(X1,X0))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f65,plain,
! [X0,X1] :
( ~ p204(sK26_skl(X1,X0))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f66,plain,
! [X0,X1] :
( r1(X1,sK28_skl(X1,X0))
| sP6_prd(sK27_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f67,plain,
! [X0,X1] :
( ~ p204(sK28_skl(X1,X0))
| sP6_prd(sK27_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f68,plain,
! [X0,X1] :
( r1(X1,sK29_skl(X1,X0))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f69,plain,
! [X0,X1] :
( ~ p104(sK29_skl(X1,X0))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f70,plain,
! [X0,X1] :
( r1(X1,sK30_skl(X1,X0))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f71,plain,
! [X0,X1] :
( ~ p104(sK30_skl(X1,X0))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f72,plain,
! [X0,X1] :
( r1(X1,sK31_skl(X1,X0))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f73,plain,
! [X0,X1] :
( ~ p104(sK31_skl(X1,X0))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f74,plain,
! [X0,X1] :
( r1(X1,sK33_skl(X1,X0))
| sP7_prd(sK32_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f75,plain,
! [X0,X1] :
( ~ p104(sK33_skl(X1,X0))
| sP7_prd(sK32_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f76,plain,
! [X0,X1] :
( r1(X1,sK35_skl(X1,X0))
| sP8_prd(sK34_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f77,plain,
! [X0,X1] :
( ~ p104(sK35_skl(X1,X0))
| sP8_prd(sK34_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f78,plain,
! [X0,X1] :
( ~ p503(X1)
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f79,plain,
! [X0,X1] :
( ~ p403(X1)
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f80,plain,
! [X0,X1] :
( ~ p403(X1)
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f81,plain,
! [X0,X1] :
( ~ p303(X1)
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f82,plain,
! [X0,X1] :
( ~ p303(X1)
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f83,plain,
! [X0,X1] :
( ~ p303(X1)
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f84,plain,
! [X0,X1] :
( r1(X1,sK36_skl(X1,X0))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f85,plain,
! [X0,X1] :
( ~ p203(sK36_skl(X1,X0))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f86,plain,
! [X0,X1] :
( r1(X1,sK37_skl(X1,X0))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f87,plain,
! [X0,X1] :
( ~ p203(sK37_skl(X1,X0))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f88,plain,
! [X0,X1] :
( r1(X1,sK38_skl(X1,X0))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f89,plain,
! [X0,X1] :
( ~ p203(sK38_skl(X1,X0))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f90,plain,
! [X0,X1] :
( r1(X1,sK39_skl(X1,X0))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f91,plain,
! [X0,X1] :
( ~ p203(sK39_skl(X1,X0))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f92,plain,
! [X0,X1] :
( r1(X1,sK40_skl(X1,X0))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f93,plain,
! [X0,X1] :
( ~ p103(sK40_skl(X1,X0))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f94,plain,
! [X0,X1] :
( r1(X1,sK41_skl(X1,X0))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f95,plain,
! [X0,X1] :
( ~ p103(sK41_skl(X1,X0))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f96,plain,
! [X0,X1] :
( r1(X1,sK42_skl(X1,X0))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f97,plain,
! [X0,X1] :
( ~ p103(sK42_skl(X1,X0))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f98,plain,
! [X0,X1] :
( r1(X1,sK43_skl(X1,X0))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f99,plain,
! [X0,X1] :
( ~ p103(sK43_skl(X1,X0))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f100,plain,
! [X0,X1] :
( r1(X1,sK45_skl(X1,X0))
| sP9_prd(sK44_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f101,plain,
! [X0,X1] :
( ~ p103(sK45_skl(X1,X0))
| sP9_prd(sK44_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f102,plain,
! [X0,X1] :
( ~ p502(X1)
| ~ p602(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f103,plain,
! [X0,X1] :
( ~ p402(X1)
| ~ p602(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f104,plain,
! [X0,X1] :
( ~ p402(X1)
| ~ p502(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f105,plain,
! [X0,X1] :
( ~ p302(X1)
| ~ p602(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f106,plain,
! [X0,X1] :
( ~ p302(X1)
| ~ p502(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f107,plain,
! [X0,X1] :
( ~ p302(X1)
| ~ p402(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f108,plain,
! [X0,X1] :
( ~ p202(X1)
| ~ p602(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f109,plain,
! [X0,X1] :
( ~ p202(X1)
| ~ p502(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f110,plain,
! [X0,X1] :
( ~ p202(X1)
| ~ p402(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f111,plain,
! [X0,X1] :
( ~ p202(X1)
| ~ p302(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f112,plain,
! [X0,X1] :
( r1(X1,sK46_skl(X1,X0))
| ~ p602(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f113,plain,
! [X0,X1] :
( ~ p102(sK46_skl(X1,X0))
| ~ p602(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f114,plain,
! [X0,X1] :
( r1(X1,sK47_skl(X1,X0))
| ~ p502(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f115,plain,
! [X0,X1] :
( ~ p102(sK47_skl(X1,X0))
| ~ p502(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f116,plain,
! [X0,X1] :
( r1(X1,sK48_skl(X1,X0))
| ~ p402(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f117,plain,
! [X0,X1] :
( ~ p102(sK48_skl(X1,X0))
| ~ p402(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f118,plain,
! [X0,X1] :
( r1(X1,sK49_skl(X1,X0))
| ~ p302(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f119,plain,
! [X0,X1] :
( ~ p102(sK49_skl(X1,X0))
| ~ p302(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f120,plain,
! [X0,X1] :
( r1(X1,sK50_skl(X1,X0))
| ~ p202(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f121,plain,
! [X0,X1] :
( ~ p102(sK50_skl(X1,X0))
| ~ p202(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f122,plain,
! [X0,X1] :
( ~ p501(X1)
| ~ p601(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f123,plain,
! [X0,X1] :
( ~ p401(X1)
| ~ p601(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f124,plain,
! [X0,X1] :
( ~ p401(X1)
| ~ p501(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f125,plain,
! [X0,X1] :
( ~ p301(X1)
| ~ p601(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f126,plain,
! [X0,X1] :
( ~ p301(X1)
| ~ p501(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f127,plain,
! [X0,X1] :
( ~ p301(X1)
| ~ p401(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f128,plain,
! [X0,X1] :
( ~ p201(X1)
| ~ p601(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f129,plain,
! [X0,X1] :
( ~ p201(X1)
| ~ p501(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f130,plain,
! [X0,X1] :
( ~ p201(X1)
| ~ p401(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f131,plain,
! [X0,X1] :
( ~ p201(X1)
| ~ p301(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f132,plain,
! [X0,X1] :
( ~ p101(X1)
| ~ p601(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f133,plain,
! [X0,X1] :
( ~ p101(X1)
| ~ p501(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f134,plain,
! [X0,X1] :
( ~ p101(X1)
| ~ p401(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f135,plain,
! [X0,X1] :
( ~ p101(X1)
| ~ p301(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f136,plain,
! [X0,X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f137,plain,
( p601(sK0_skl)
| p602(sK0_skl)
| p603(sK0_skl)
| p604(sK0_skl)
| p605(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f138,plain,
( p501(sK0_skl)
| p502(sK0_skl)
| p503(sK0_skl)
| p504(sK0_skl)
| p505(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f139,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)],[f21]) ).
fof(f140,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)],[f21]) ).
fof(f141,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)],[f21]) ).
fof(f142,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)],[f21]) ).
fof(f143,plain,
! [X,Y] :
( ( p405(Y)
| ~ r1(X,Y)
| sP0_prd(Y,X) )
& ( ( ~ p405(Y)
& r1(X,Y) )
| ~ sP0_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f144,plain,
( ! [X,Y] :
( p405(Y)
| ~ r1(X,Y)
| sP0_prd(Y,X) )
& ! [X,Y] :
( ( ~ p405(Y)
& r1(X,Y) )
| ~ sP0_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( ~ p405(X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f148,plain,
! [X,Y] :
( ( p405(Y)
| ~ r1(X,Y)
| sP1_prd(Y,X) )
& ( ( ~ p405(Y)
& r1(X,Y) )
| ~ sP1_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f149,plain,
( ! [X,Y] :
( p405(Y)
| ~ r1(X,Y)
| sP1_prd(Y,X) )
& ! [X,Y] :
( ( ~ p405(Y)
& r1(X,Y) )
| ~ sP1_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f150,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
! [X0,X1] :
( ~ p405(X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f153,plain,
! [X,Y] :
( ( p305(Y)
| ~ r1(X,Y)
| sP2_prd(Y,X) )
& ( ( ~ p305(Y)
& r1(X,Y) )
| ~ sP2_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f154,plain,
( ! [X,Y] :
( p305(Y)
| ~ r1(X,Y)
| sP2_prd(Y,X) )
& ! [X,Y] :
( ( ~ p305(Y)
& r1(X,Y) )
| ~ sP2_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
! [X0,X1] :
( ~ p305(X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f158,plain,
! [X,Y] :
( ( p405(Y)
| ~ r1(X,Y)
| sP3_prd(Y,X) )
& ( ( ~ p405(Y)
& r1(X,Y) )
| ~ sP3_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f159,plain,
( ! [X,Y] :
( p405(Y)
| ~ r1(X,Y)
| sP3_prd(Y,X) )
& ! [X,Y] :
( ( ~ p405(Y)
& r1(X,Y) )
| ~ sP3_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f158]) ).
fof(f160,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
! [X0,X1] :
( ~ p405(X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f163,plain,
! [X,Y] :
( ( p305(Y)
| ~ r1(X,Y)
| sP4_prd(Y,X) )
& ( ( ~ p305(Y)
& r1(X,Y) )
| ~ sP4_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f164,plain,
( ! [X,Y] :
( p305(Y)
| ~ r1(X,Y)
| sP4_prd(Y,X) )
& ! [X,Y] :
( ( ~ p305(Y)
& r1(X,Y) )
| ~ sP4_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f163]) ).
fof(f165,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
! [X0,X1] :
( ~ p305(X0)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f168,plain,
! [X,Y] :
( ( p205(Y)
| ~ r1(X,Y)
| sP5_prd(Y,X) )
& ( ( ~ p205(Y)
& r1(X,Y) )
| ~ sP5_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f169,plain,
( ! [X,Y] :
( p205(Y)
| ~ r1(X,Y)
| sP5_prd(Y,X) )
& ! [X,Y] :
( ( ~ p205(Y)
& r1(X,Y) )
| ~ sP5_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f168]) ).
fof(f170,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( ~ p205(X0)
| ~ sP5_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f173,plain,
! [X,Y] :
( ( p304(Y)
| ~ r1(X,Y)
| sP6_prd(Y,X) )
& ( ( ~ p304(Y)
& r1(X,Y) )
| ~ sP6_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f174,plain,
( ! [X,Y] :
( p304(Y)
| ~ r1(X,Y)
| sP6_prd(Y,X) )
& ! [X,Y] :
( ( ~ p304(Y)
& r1(X,Y) )
| ~ sP6_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f175,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
! [X0,X1] :
( ~ p304(X0)
| ~ sP6_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f178,plain,
! [X,Y] :
( ( p304(Y)
| ~ r1(X,Y)
| sP7_prd(Y,X) )
& ( ( ~ p304(Y)
& r1(X,Y) )
| ~ sP7_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f17]) ).
fof(f179,plain,
( ! [X,Y] :
( p304(Y)
| ~ r1(X,Y)
| sP7_prd(Y,X) )
& ! [X,Y] :
( ( ~ p304(Y)
& r1(X,Y) )
| ~ sP7_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f178]) ).
fof(f180,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
! [X0,X1] :
( ~ p304(X0)
| ~ sP7_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f183,plain,
! [X,Y] :
( ( p204(Y)
| ~ r1(X,Y)
| sP8_prd(Y,X) )
& ( ( ~ p204(Y)
& r1(X,Y) )
| ~ sP8_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f184,plain,
( ! [X,Y] :
( p204(Y)
| ~ r1(X,Y)
| sP8_prd(Y,X) )
& ! [X,Y] :
( ( ~ p204(Y)
& r1(X,Y) )
| ~ sP8_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f183]) ).
fof(f185,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
! [X0,X1] :
( ~ p204(X0)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f188,plain,
! [X,Y] :
( ( p203(Y)
| ~ r1(X,Y)
| sP9_prd(Y,X) )
& ( ( ~ p203(Y)
& r1(X,Y) )
| ~ sP9_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f189,plain,
( ! [X,Y] :
( p203(Y)
| ~ r1(X,Y)
| sP9_prd(Y,X) )
& ! [X,Y] :
( ( ~ p203(Y)
& r1(X,Y) )
| ~ sP9_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f188]) ).
fof(f190,plain,
! [X0,X1] :
( r1(X1,X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
! [X0,X1] :
( ~ p203(X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f192,plain,
! [X0,X1] :
( p203(X0)
| ~ r1(X1,X0)
| sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f193,definition,
( sQ0_spl
<=> p605(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ0_spl
| p605(sK0_skl) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ1_spl
<=> p604(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ1_spl
| p604(sK0_skl) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ2_spl
<=> p603(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ2_spl
| p603(sK0_skl) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
( sQ3_spl
<=> p602(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ3_spl
| p602(sK0_skl) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
( sQ4_spl
<=> p601(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ4_spl
| p601(sK0_skl) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f137,f193,f196,f199,f202,f205]) ).
fof(f209,definition,
( sQ5_spl
<=> p505(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ5_spl
| p505(sK0_skl) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ6_spl
<=> p504(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ6_spl
| p504(sK0_skl) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ7_spl
<=> p503(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ7_spl
| p503(sK0_skl) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,definition,
( sQ8_spl
<=> p502(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ8_spl
| p502(sK0_skl) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,definition,
( sQ9_spl
<=> p501(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ9_spl
| p501(sK0_skl) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f138,f209,f212,f215,f218,f221]) ).
fof(f225,definition,
! [X0] :
( sQ10_spl
<=> ( p405(X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f226,plain,
! [X0] :
( ~ sQ10_spl
| p405(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ11_spl
<=> p404(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ11_spl
| p404(sK0_skl) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ12_spl
<=> p403(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ12_spl
| p403(sK0_skl) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,definition,
( sQ13_spl
<=> p402(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ13_spl
| p402(sK0_skl) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ14_spl
<=> p401(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ14_spl
| p401(sK0_skl) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f139,f225,f228,f231,f234,f237]) ).
fof(f241,definition,
! [X0] :
( sQ15_spl
<=> ( p305(X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f242,plain,
! [X0] :
( ~ sQ15_spl
| p305(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
! [X1] :
( sQ16_spl
<=> ( p304(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0] :
( ~ sQ16_spl
| p304(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ17_spl
<=> p303(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ17_spl
| p303(sK0_skl) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ18_spl
<=> p302(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ18_spl
| p302(sK0_skl) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
( sQ19_spl
<=> p301(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ19_spl
| p301(sK0_skl) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f140,f241,f244,f247,f250,f253]) ).
fof(f257,definition,
! [X0] :
( sQ20_spl
<=> ( p205(X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f258,plain,
! [X0] :
( ~ sQ20_spl
| p205(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
! [X1] :
( sQ21_spl
<=> ( p204(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f261,plain,
! [X0] :
( ~ sQ21_spl
| p204(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
! [X2] :
( sQ22_spl
<=> ( p203(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f264,plain,
! [X0] :
( ~ sQ22_spl
| p203(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ23_spl
<=> p202(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ23_spl
| p202(sK0_skl) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ24_spl
<=> p201(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f141,f257,f260,f263,f266,f269]) ).
fof(f273,definition,
! [X0] :
( sQ25_spl
<=> ( p105(X0)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f274,plain,
! [X0] :
( ~ sQ25_spl
| p105(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
! [X1] :
( sQ26_spl
<=> ( p104(X1)
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f277,plain,
! [X0] :
( ~ sQ26_spl
| p104(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
! [X2] :
( sQ27_spl
<=> ( p103(X2)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f280,plain,
! [X0] :
( ~ sQ27_spl
| p103(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
! [X3] :
( sQ28_spl
<=> ( p102(X3)
| ~ r1(sK0_skl,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f283,plain,
! [X0] :
( ~ sQ28_spl
| p102(X0)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ29_spl
<=> p101(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ29_spl
| p101(sK0_skl) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f142,f273,f276,f279,f282,f285]) ).
fof(f290,plain,
! [X0] :
( ~ sQ5_spl
| ~ p605(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f210,f22]) ).
fof(f291,definition,
! [X0] :
( sQ30_spl
<=> ( ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f292,plain,
! [X0] :
( ~ sQ30_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f290,f291,f193,f209]) ).
fof(f296,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sP8_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f261,f186]) ).
fof(f297,plain,
! [X0,X1] :
( ~ sQ20_spl
| sP2_prd(sK11_skl(X0,X1),X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK12_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f258,f40]) ).
fof(f298,plain,
! [X0,X1] :
( ~ sQ20_spl
| sP1_prd(sK9_skl(X0,X1),X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK10_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f258,f38]) ).
fof(f300,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ p605(X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK7_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f258,f34]) ).
fof(f301,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sP5_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f258,f171]) ).
fof(f302,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sP7_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f245,f181]) ).
fof(f303,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sP6_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f245,f176]) ).
fof(f304,plain,
! [X0,X1] :
( ~ sQ15_spl
| sP0_prd(sK5_skl(X0,X1),X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK6_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f242,f32]) ).
fof(f305,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ p505(X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK4_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f242,f30]) ).
fof(f306,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ p605(X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK3_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f242,f28]) ).
fof(f307,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ sP4_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f242,f166]) ).
fof(f308,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ sP2_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f242,f156]) ).
fof(f310,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ p605(X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK1_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f226,f24]) ).
fof(f311,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sP3_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f226,f161]) ).
fof(f312,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sP1_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f226,f151]) ).
fof(f313,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sP0_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f226,f146]) ).
fof(f316,plain,
( ~ sQ30_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f292,f5]) ).
fof(f317,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f316,f5]) ).
fof(f318,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f317]) ).
fof(f323,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ r1(sK0_skl,sK16_skl(X1,X0))
| sP3_prd(sK15_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f46,f274]) ).
fof(f329,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ r1(sK0_skl,sK18_skl(X1,X0))
| sP4_prd(sK17_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f48,f274]) ).
fof(f330,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ r1(sK0_skl,sK20_skl(X1,X0))
| sP5_prd(sK19_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f50,f274]) ).
fof(f331,plain,
! [X0] :
( ~ sQ11_spl
| ~ p504(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f53,f229]) ).
fof(f332,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f331,f291,f212,f228]) ).
fof(f333,plain,
! [X0] :
( ~ sQ12_spl
| ~ p503(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f80,f232]) ).
fof(f334,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f333,f291,f215,f231]) ).
fof(f335,plain,
! [X0] :
( ~ sQ13_spl
| ~ p502(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f104,f235]) ).
fof(f336,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f335,f291,f218,f234]) ).
fof(f337,plain,
! [X0] :
( ~ sQ23_spl
| ~ p302(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f111,f267]) ).
fof(f338,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f337,f291,f250,f266]) ).
fof(f339,plain,
! [X0] :
( ~ sQ9_spl
| ~ p601(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f122,f222]) ).
fof(f340,plain,
( ~ sQ9_spl
| ~ sQ4_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f339,f291,f205,f221]) ).
fof(f341,plain,
! [X0] :
( ~ sQ3_spl
| ~ p202(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f203,f108]) ).
fof(f342,plain,
! [X0] :
( ~ sQ3_spl
| ~ p302(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f203,f105]) ).
fof(f343,plain,
! [X0] :
( ~ sQ3_spl
| ~ p402(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f203,f103]) ).
fof(f344,plain,
! [X0] :
( ~ sQ3_spl
| ~ p502(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f203,f102]) ).
fof(f345,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f341,f291,f266,f202]) ).
fof(f346,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f342,f291,f250,f202]) ).
fof(f347,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f343,f291,f234,f202]) ).
fof(f348,plain,
( ~ sQ3_spl
| ~ sQ8_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f344,f291,f218,f202]) ).
fof(f349,plain,
! [X0] :
( ~ sQ5_spl
| ~ p105(sK14_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f210,f44]) ).
fof(f350,plain,
! [X0] :
( ~ sQ5_spl
| r1(sK0_skl,sK14_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f210,f43]) ).
fof(f352,plain,
! [X0] :
( ~ sQ5_spl
| r1(sK0_skl,sK4_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f210,f29]) ).
fof(f356,plain,
! [X0] :
( ~ sQ1_spl
| ~ p204(sK24_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f197,f61]) ).
fof(f357,plain,
! [X0] :
( ~ sQ1_spl
| r1(sK0_skl,sK24_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f197,f60]) ).
fof(f358,plain,
! [X0] :
( ~ sQ1_spl
| ~ p304(sK21_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f197,f55]) ).
fof(f359,plain,
! [X0] :
( ~ sQ1_spl
| r1(sK0_skl,sK21_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f197,f54]) ).
fof(f360,plain,
! [X0] :
( ~ sQ1_spl
| ~ p404(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f197,f52]) ).
fof(f361,plain,
! [X0] :
( ~ sQ1_spl
| ~ p504(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f197,f51]) ).
fof(f362,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f360,f291,f228,f196]) ).
fof(f363,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f361,f291,f212,f196]) ).
fof(f364,plain,
! [X0,X1] :
( r1(X1,sK27_skl(X1,X0))
| ~ p204(sK28_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f67,f175]) ).
fof(f365,plain,
! [X0] :
( ~ sQ19_spl
| ~ p401(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f127,f254]) ).
fof(f366,plain,
( ~ sQ19_spl
| ~ sQ14_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f365,f291,f237,f253]) ).
fof(f372,plain,
! [X0,X1] :
( ~ sQ26_spl
| ~ r1(sK0_skl,sK29_skl(X1,X0))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f69,f277]) ).
fof(f373,plain,
! [X0] :
( ~ sQ29_spl
| ~ p201(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f136,f286]) ).
fof(f374,plain,
( ~ sQ29_spl
| ~ sQ24_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f373,f291,f269,f285]) ).
fof(f375,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ5_spl
| ~ r1(sK0_skl,sK14_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f349,f274]) ).
fof(f378,plain,
! [X0,X1] :
( ~ sQ26_spl
| ~ r1(sK0_skl,sK33_skl(X1,X0))
| sP7_prd(sK32_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f75,f277]) ).
fof(f379,plain,
! [X0,X1] :
( ~ sQ26_spl
| ~ r1(sK0_skl,sK35_skl(X1,X0))
| sP8_prd(sK34_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f77,f277]) ).
fof(f380,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ r1(sK0_skl,sK21_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f358,f245]) ).
fof(f381,plain,
! [X0] :
( ~ sQ17_spl
| ~ p203(sK39_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f91,f248]) ).
fof(f383,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ17_spl
| ~ r1(sK0_skl,sK39_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f381,f264]) ).
fof(f384,plain,
! [X0,X1] :
( ~ sQ27_spl
| ~ r1(sK0_skl,sK43_skl(X1,X0))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f99,f280]) ).
fof(f385,plain,
! [X0,X1] :
( ~ sQ27_spl
| ~ r1(sK0_skl,sK45_skl(X1,X0))
| sP9_prd(sK44_skl(X1,X0),X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f101,f280]) ).
fof(f386,plain,
! [X0,X1] :
( ~ sQ20_spl
| r1(X0,sK11_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK12_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f297,f155]) ).
fof(f387,plain,
! [X0,X1] :
( ~ sQ20_spl
| r1(X0,sK9_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK10_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f298,f150]) ).
fof(f388,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ5_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f375,f350]) ).
fof(f391,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f388,f5]) ).
fof(f392,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f5]) ).
fof(f393,plain,
( ~ sQ25_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f392]) ).
fof(f394,plain,
! [X0] :
( ~ sQ2_spl
| r1(sK0_skl,sK40_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f200,f92]) ).
fof(f395,plain,
! [X0] :
( ~ sQ2_spl
| ~ p103(sK40_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f200,f93]) ).
fof(f396,plain,
! [X0] :
( ~ sQ2_spl
| r1(sK0_skl,sK36_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f200,f84]) ).
fof(f397,plain,
! [X0] :
( ~ sQ2_spl
| ~ p203(sK36_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f200,f85]) ).
fof(f398,plain,
! [X0] :
( ~ sQ2_spl
| ~ p303(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f200,f81]) ).
fof(f399,plain,
! [X0] :
( ~ sQ2_spl
| ~ p403(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f200,f79]) ).
fof(f400,plain,
! [X0] :
( ~ sQ2_spl
| ~ p503(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f200,f78]) ).
fof(f401,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f398,f291,f247,f199]) ).
fof(f402,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f399,f291,f231,f199]) ).
fof(f403,plain,
( ~ sQ2_spl
| ~ sQ7_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f400,f291,f215,f199]) ).
fof(f404,plain,
! [X0] :
( ~ sQ8_spl
| r1(sK0_skl,sK47_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f219,f114]) ).
fof(f405,plain,
! [X0] :
( ~ sQ8_spl
| ~ p102(sK47_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f219,f115]) ).
fof(f406,plain,
! [X0] :
( ~ sQ8_spl
| ~ p202(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f219,f109]) ).
fof(f407,plain,
! [X0] :
( ~ sQ8_spl
| ~ p302(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f219,f106]) ).
fof(f408,plain,
( ~ sQ8_spl
| ~ sQ23_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f406,f291,f266,f218]) ).
fof(f409,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f407,f291,f250,f218]) ).
fof(f420,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ1_spl
| ~ r1(sK0_skl,sK24_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f356,f261]) ).
fof(f422,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ8_spl
| ~ r1(sK0_skl,sK47_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f405,f283]) ).
fof(f428,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ16_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f380]) ).
fof(f431,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f428,f5]) ).
fof(f432,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f431,f5]) ).
fof(f433,plain,
( ~ sQ1_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f432]) ).
fof(f450,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ2_spl
| ~ r1(sK0_skl,sK40_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f395,f280]) ).
fof(f452,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| ~ r1(sK0_skl,sK36_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f397,f264]) ).
fof(f453,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ8_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f404]) ).
fof(f456,plain,
( ~ sQ28_spl
| ~ sQ8_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f453,f5]) ).
fof(f457,plain,
( ~ sQ28_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f5]) ).
fof(f458,plain,
( ~ sQ28_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f457]) ).
fof(f463,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ2_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f394]) ).
fof(f466,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f463,f5]) ).
fof(f467,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f466,f5]) ).
fof(f468,plain,
( ~ sQ27_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f467]) ).
fof(f469,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK10_skl(X0,X1))
| ~ r1(sK0_skl,sK9_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f312,f298]) ).
fof(f471,plain,
! [X0,X1] :
( ~ sQ10_spl
| r1(X0,sK6_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK5_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f313,f31]) ).
fof(f477,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ22_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f452]) ).
fof(f480,plain,
( ~ sQ2_spl
| ~ sQ22_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f477,f5]) ).
fof(f481,plain,
( ~ sQ2_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f480,f5]) ).
fof(f482,plain,
( ~ sQ2_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f481]) ).
fof(f484,plain,
! [X0,X1] :
( ~ sQ26_spl
| r1(X1,sK32_skl(X1,X0))
| ~ r1(sK0_skl,sK33_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f378,f180]) ).
fof(f485,plain,
! [X0] :
( ~ sQ26_spl
| sP8_prd(sK34_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| sP8_prd(sK34_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f379,f76]) ).
fof(f488,plain,
! [X0] :
( ~ sQ26_spl
| sP8_prd(sK34_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f485]) ).
fof(f490,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ26_spl
| ~ r1(sK0_skl,sK34_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f488,f296]) ).
fof(f491,plain,
! [X0] :
( ~ sQ26_spl
| r1(sK0_skl,sK34_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f488,f185]) ).
fof(f494,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ21_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f491,f490]) ).
fof(f497,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f494,f5]) ).
fof(f498,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f5]) ).
fof(f499,plain,
( ~ sQ26_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f500,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK5_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK6_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f304,f313]) ).
fof(f505,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ15_spl
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK12_skl(X0,X1))
| ~ r1(sK0_skl,sK11_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f308,f297]) ).
fof(f508,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| sP1_prd(sK9_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK9_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f469,f37]) ).
fof(f511,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| sP1_prd(sK9_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK9_skl(sK0_skl,X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f508]) ).
fof(f512,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK9_skl(sK0_skl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f312]) ).
fof(f513,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK10_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f512,f387]) ).
fof(f516,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK10_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f513]) ).
fof(f517,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| sP1_prd(sK9_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f516,f37]) ).
fof(f520,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| sP1_prd(sK9_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f517]) ).
fof(f525,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| r1(sK0_skl,sK9_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f520,f150]) ).
fof(f526,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f512]) ).
fof(f529,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f526,f5]) ).
fof(f530,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f5]) ).
fof(f531,plain,
( ~ sQ20_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f532,plain,
! [X0] :
( ~ sQ11_spl
| ~ p104(sK31_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f229,f73]) ).
fof(f533,plain,
! [X0] :
( ~ sQ11_spl
| r1(sK0_skl,sK31_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f229,f72]) ).
fof(f534,plain,
! [X0] :
( ~ sQ11_spl
| ~ p204(sK26_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f229,f65]) ).
fof(f535,plain,
! [X0] :
( ~ sQ11_spl
| r1(sK0_skl,sK26_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f229,f64]) ).
fof(f536,plain,
! [X0] :
( ~ sQ11_spl
| ~ p304(sK23_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f229,f59]) ).
fof(f537,plain,
! [X0] :
( ~ sQ11_spl
| r1(sK0_skl,sK23_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f229,f58]) ).
fof(f541,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ11_spl
| ~ r1(sK0_skl,sK31_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f532,f277]) ).
fof(f545,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ11_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f533]) ).
fof(f548,plain,
( ~ sQ26_spl
| ~ sQ11_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f545,f5]) ).
fof(f549,plain,
( ~ sQ26_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f548,f5]) ).
fof(f550,plain,
( ~ sQ26_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f549]) ).
fof(f551,plain,
! [X0] :
( ~ sQ6_spl
| ~ p104(sK30_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f213,f71]) ).
fof(f552,plain,
! [X0] :
( ~ sQ6_spl
| r1(sK0_skl,sK30_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f213,f70]) ).
fof(f553,plain,
! [X0] :
( ~ sQ6_spl
| ~ p204(sK25_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f213,f63]) ).
fof(f554,plain,
! [X0] :
( ~ sQ6_spl
| r1(sK0_skl,sK25_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f213,f62]) ).
fof(f555,plain,
! [X0] :
( ~ sQ6_spl
| ~ p304(sK22_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f213,f57]) ).
fof(f556,plain,
! [X0] :
( ~ sQ6_spl
| r1(sK0_skl,sK22_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f213,f56]) ).
fof(f557,plain,
! [X0] :
( ~ sQ13_spl
| r1(sK0_skl,sK48_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f235,f116]) ).
fof(f558,plain,
! [X0] :
( ~ sQ13_spl
| ~ p102(sK48_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f235,f117]) ).
fof(f559,plain,
! [X0] :
( ~ sQ13_spl
| ~ p202(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f235,f110]) ).
fof(f560,plain,
! [X0] :
( ~ sQ13_spl
| ~ p302(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f235,f107]) ).
fof(f562,plain,
( ~ sQ13_spl
| ~ sQ23_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f559,f291,f266,f234]) ).
fof(f563,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f560,f291,f250,f234]) ).
fof(f565,plain,
! [X0] :
( ~ sQ3_spl
| r1(sK0_skl,sK46_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f203,f112]) ).
fof(f566,plain,
! [X0] :
( ~ sQ3_spl
| ~ p102(sK46_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f203,f113]) ).
fof(f575,plain,
! [X0] :
( ~ sQ12_spl
| r1(sK0_skl,sK42_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f232,f96]) ).
fof(f576,plain,
! [X0] :
( ~ sQ12_spl
| ~ p103(sK42_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f232,f97]) ).
fof(f577,plain,
! [X0] :
( ~ sQ12_spl
| r1(sK0_skl,sK38_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f232,f88]) ).
fof(f578,plain,
! [X0] :
( ~ sQ12_spl
| ~ p203(sK38_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f232,f89]) ).
fof(f579,plain,
! [X0] :
( ~ sQ12_spl
| ~ p303(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f232,f83]) ).
fof(f581,plain,
( ~ sQ12_spl
| ~ sQ17_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f579,f291,f247,f231]) ).
fof(f591,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ6_spl
| ~ r1(sK0_skl,sK25_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f553,f261]) ).
fof(f593,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ6_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f591,f554]) ).
fof(f596,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f593,f5]) ).
fof(f597,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f5]) ).
fof(f598,plain,
( ~ sQ21_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f600,plain,
! [X0] :
( ~ sQ7_spl
| ~ p103(sK41_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f216,f95]) ).
fof(f601,plain,
! [X0] :
( ~ sQ7_spl
| r1(sK0_skl,sK37_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f216,f86]) ).
fof(f602,plain,
! [X0] :
( ~ sQ7_spl
| ~ p203(sK37_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f216,f87]) ).
fof(f603,plain,
! [X0] :
( ~ sQ7_spl
| ~ p303(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f216,f82]) ).
fof(f604,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f603,f291,f247,f215]) ).
fof(f634,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ12_spl
| ~ r1(sK0_skl,sK42_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f576,f280]) ).
fof(f640,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ12_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f575]) ).
fof(f643,plain,
( ~ sQ27_spl
| ~ sQ12_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f640,f5]) ).
fof(f644,plain,
( ~ sQ27_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f643,f5]) ).
fof(f645,plain,
( ~ sQ27_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f644]) ).
fof(f656,plain,
! [X0] :
( ~ sQ7_spl
| r1(sK0_skl,sK41_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f216,f94]) ).
fof(f668,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ r1(sK0_skl,sK46_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f566,f283]) ).
fof(f669,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f668,f565]) ).
fof(f672,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f669,f5]) ).
fof(f673,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f5]) ).
fof(f674,plain,
( ~ sQ28_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f699,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ r1(X1,sK37_skl(sK0_skl,X0))
| sP9_prd(sK37_skl(sK0_skl,X0),X1)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f602,f192]) ).
fof(f705,plain,
! [X0,X1] :
( ~ sQ25_spl
| r1(X1,sK15_skl(X1,X0))
| ~ r1(sK0_skl,sK16_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f323,f160]) ).
fof(f706,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ sQ25_spl
| ~ r1(sK0_skl,sK17_skl(X1,X0))
| ~ r1(sK0_skl,sK18_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f329,f307]) ).
fof(f707,plain,
! [X0,X1] :
( ~ sQ25_spl
| r1(X1,sK17_skl(X1,X0))
| ~ r1(sK0_skl,sK18_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f329,f165]) ).
fof(f708,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ25_spl
| ~ r1(sK0_skl,sK19_skl(X1,X0))
| ~ r1(sK0_skl,sK20_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f330,f301]) ).
fof(f709,plain,
! [X0,X1] :
( ~ sQ25_spl
| r1(X1,sK19_skl(X1,X0))
| ~ r1(sK0_skl,sK20_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f330,f170]) ).
fof(f710,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| sP2_prd(sK11_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK11_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f505,f39]) ).
fof(f713,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| sP2_prd(sK11_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK11_skl(sK0_skl,X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f710]) ).
fof(f714,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK11_skl(sK0_skl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f308]) ).
fof(f717,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK12_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f714,f386]) ).
fof(f720,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK12_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f717]) ).
fof(f721,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| sP2_prd(sK11_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f720,f39]) ).
fof(f724,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| sP2_prd(sK11_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f721]) ).
fof(f727,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| r1(sK0_skl,sK11_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f724,f155]) ).
fof(f728,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f714]) ).
fof(f731,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f728,f5]) ).
fof(f732,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f731,f5]) ).
fof(f733,plain,
( ~ sQ20_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f732]) ).
fof(f738,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ1_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f357]) ).
fof(f741,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f738,f5]) ).
fof(f742,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f5]) ).
fof(f743,plain,
( ~ sQ21_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f742]) ).
fof(f745,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ7_spl
| ~ r1(sK0_skl,sK37_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f602,f264]) ).
fof(f750,plain,
! [X0] :
( ~ sQ7_spl
| ~ r1(X0,sK37_skl(sK0_skl,sK0_skl))
| sP9_prd(sK37_skl(sK0_skl,sK0_skl),X0)
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f699,f5]) ).
fof(f751,definition,
( sQ31_spl
<=> r1(sK0_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( sQ31_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,definition,
! [X0] :
( sQ32_spl
<=> ( ~ r1(X0,sK37_skl(sK0_skl,sK0_skl))
| sP9_prd(sK37_skl(sK0_skl,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ7_spl
| sQ32_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f750,f751,f754,f215]) ).
fof(f758,plain,
( sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f753,f5]) ).
fof(f759,plain,
sQ31_spl,
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f788,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ11_spl
| ~ r1(sK0_skl,sK23_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f536,f245]) ).
fof(f789,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ11_spl
| ~ r1(sK0_skl,sK26_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f534,f261]) ).
fof(f791,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ11_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f788,f537]) ).
fof(f794,plain,
( ~ sQ16_spl
| ~ sQ11_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f791,f5]) ).
fof(f795,plain,
( ~ sQ16_spl
| ~ sQ11_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f794,f751,f228,f244]) ).
fof(f812,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ p505(X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK8_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f258,f36]) ).
fof(f816,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ p204(sK28_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK27_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f303,f67]) ).
fof(f819,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ6_spl
| ~ r1(sK0_skl,sK22_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f555,f245]) ).
fof(f821,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ6_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f819,f556]) ).
fof(f824,plain,
( ~ sQ16_spl
| ~ sQ6_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f821,f5]) ).
fof(f825,plain,
( ~ sQ16_spl
| ~ sQ6_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f824,f751,f212,f244]) ).
fof(f851,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ sP4_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f242,f166]) ).
fof(f854,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ12_spl
| ~ r1(sK0_skl,sK38_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f578,f264]) ).
fof(f857,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ12_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f577]) ).
fof(f860,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f857,f5]) ).
fof(f861,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f860,f751,f231,f263]) ).
fof(f884,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ22_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f745]) ).
fof(f887,plain,
( ~ sQ7_spl
| ~ sQ22_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f884,f5]) ).
fof(f888,plain,
( ~ sQ7_spl
| ~ sQ22_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f887,f751,f263,f215]) ).
fof(f903,plain,
! [X0] :
( ~ sQ19_spl
| ~ p101(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f254,f135]) ).
fof(f904,plain,
! [X0] :
( ~ sQ19_spl
| ~ p201(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f254,f131]) ).
fof(f906,plain,
( ~ sQ19_spl
| ~ sQ29_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f903,f291,f285,f253]) ).
fof(f907,plain,
( ~ sQ19_spl
| ~ sQ24_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f904,f291,f269,f253]) ).
fof(f912,plain,
! [X0,X1] :
( ~ sQ26_spl
| sP7_prd(sK32_skl(X0,X1),X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK33_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f277,f75]) ).
fof(f922,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ17_spl
| ~ p303(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f383,f90]) ).
fof(f925,definition,
! [X0] :
( sQ33_spl
<=> ( ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f926,plain,
! [X0] :
( ~ sQ33_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f922,f925,f247,f263]) ).
fof(f929,plain,
! [X0] :
( ~ sQ33_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f926]) ).
fof(f937,plain,
( ~ sQ33_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f929,f5]) ).
fof(f938,plain,
( ~ sQ33_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f937,f751,f925]) ).
fof(f962,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ16_spl
| ~ r1(sK0_skl,sK28_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK27_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f816,f261]) ).
fof(f964,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| sP6_prd(sK27_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK27_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f962,f66]) ).
fof(f967,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| sP6_prd(sK27_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK27_skl(sK0_skl,X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f964]) ).
fof(f968,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK27_skl(sK0_skl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f967,f303]) ).
fof(f971,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| ~ p204(sK28_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f968,f364]) ).
fof(f974,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| ~ p204(sK28_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f971]) ).
fof(f975,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| ~ r1(sK0_skl,sK28_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f974,f261]) ).
fof(f978,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| sP6_prd(sK27_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f975,f66]) ).
fof(f981,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| sP6_prd(sK27_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f978]) ).
fof(f983,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| r1(sK0_skl,sK27_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f981,f175]) ).
fof(f984,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f968]) ).
fof(f987,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f984,f5]) ).
fof(f988,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f987,f751,f244,f260]) ).
fof(f994,plain,
! [X0] :
( ~ sQ14_spl
| ~ p101(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f238,f134]) ).
fof(f995,plain,
! [X0] :
( ~ sQ14_spl
| ~ p201(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f238,f130]) ).
fof(f996,plain,
( ~ sQ14_spl
| ~ sQ29_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f994,f291,f285,f237]) ).
fof(f997,plain,
( ~ sQ14_spl
| ~ sQ24_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f995,f291,f269,f237]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ26_spl
| ~ r1(sK0_skl,sK29_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f372,f197]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ26_spl
| ~ p604(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1024,f68]) ).
fof(f1033,plain,
( ~ sQ26_spl
| ~ sQ1_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1030,f925,f196,f276]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ21_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f535,f789]) ).
fof(f1070,plain,
( ~ sQ11_spl
| ~ sQ21_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1067,f5]) ).
fof(f1071,plain,
( ~ sQ11_spl
| ~ sQ21_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1070,f751,f260,f228]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ23_spl
| r1(sK0_skl,sK50_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f267,f120]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ23_spl
| ~ p102(sK50_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f267,f121]) ).
fof(f1082,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ p505(X0)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK2_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f226,f26]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ23_spl
| ~ r1(sK0_skl,sK50_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1079,f283]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ23_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f1078]) ).
fof(f1093,plain,
( ~ sQ28_spl
| ~ sQ23_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1090,f5]) ).
fof(f1094,plain,
( ~ sQ28_spl
| ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1093,f751,f266,f282]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ6_spl
| ~ r1(sK0_skl,sK30_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f551,f277]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ6_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f552]) ).
fof(f1116,plain,
( ~ sQ26_spl
| ~ sQ6_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1113,f5]) ).
fof(f1117,plain,
( ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1116,f751,f212,f276]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ25_spl
| sP4_prd(sK17_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK17_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f706,f47]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ25_spl
| sP4_prd(sK17_skl(sK0_skl,X0),sK0_skl)
| ~ r1(sK0_skl,sK17_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1143]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ25_spl
| ~ r1(sK0_skl,sK17_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f851]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK18_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1147,f707]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK18_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1148]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| sP4_prd(sK17_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1151,f47]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| sP4_prd(sK17_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1152]) ).
fof(f1158,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| r1(sK0_skl,sK17_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1155,f165]) ).
fof(f1159,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f1147]) ).
fof(f1164,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1159,f5]) ).
fof(f1165,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1164,f751,f241,f273]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| sP5_prd(sK19_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK19_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f708,f49]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| sP5_prd(sK19_skl(sK0_skl,X0),sK0_skl)
| ~ r1(sK0_skl,sK19_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1183]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ25_spl
| ~ r1(sK0_skl,sK19_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1186,f301]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ20_spl
| ~ r1(sK0_skl,sK20_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1187,f709]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ20_spl
| ~ r1(sK0_skl,sK20_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1188]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ20_spl
| sP5_prd(sK19_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1191,f49]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ20_spl
| sP5_prd(sK19_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1192]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ20_spl
| r1(sK0_skl,sK19_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1195,f170]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ20_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1200,f1187]) ).
fof(f1204,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1201,f5]) ).
fof(f1205,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1204,f751,f257,f273]) ).
fof(f1213,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK16_skl(X0,X1))
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK15_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f311,f323]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| sP3_prd(sK15_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK15_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f1213,f45]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| sP3_prd(sK15_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK15_skl(sK0_skl,X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f1218]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK15_skl(sK0_skl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1221,f311]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK16_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1222,f705]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK16_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1223]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| sP3_prd(sK15_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1226,f45]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| sP3_prd(sK15_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1227]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| r1(sK0_skl,sK15_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1230,f160]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1235,f1222]) ).
fof(f1239,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1236,f5]) ).
fof(f1240,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1239,f751,f225,f273]) ).
fof(f1254,plain,
! [X0,X1] :
( ~ sQ26_spl
| ~ sQ16_spl
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK33_skl(X0,X1))
| ~ r1(sK0_skl,sK32_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f302,f912]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ16_spl
| sP7_prd(sK32_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK32_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f1254,f74]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ16_spl
| sP7_prd(sK32_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK32_skl(sK0_skl,X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f1260]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ16_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK32_skl(sK0_skl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1263,f302]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ16_spl
| ~ r1(sK0_skl,sK33_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1264,f484]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ16_spl
| ~ r1(sK0_skl,sK33_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1265]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ16_spl
| sP7_prd(sK32_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1268,f74]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ16_spl
| sP7_prd(sK32_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1269]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ16_spl
| r1(sK0_skl,sK32_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1272,f180]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ16_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1275,f1264]) ).
fof(f1279,plain,
( ~ sQ26_spl
| ~ sQ16_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1276,f5]) ).
fof(f1280,plain,
( ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1279,f751,f244,f276]) ).
fof(f1294,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ15_spl
| ~ sP0_prd(sK5_skl(X0,X1),sK0_skl)
| ~ r1(X1,X0)
| ~ r1(sK0_skl,X1)
| ~ r1(sK0_skl,sK6_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f500,f145]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK6_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK6_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f1294,f304]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK6_skl(sK0_skl,X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f1296]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ15_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK5_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1299,f471]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK5_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1300]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ15_spl
| ~ sP0_prd(sK5_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1303,f145]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ15_spl
| r1(sK0_skl,sK6_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1304,f31]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ15_spl
| r1(sK0_skl,sK6_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1312]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ15_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1315,f1299]) ).
fof(f1319,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1316,f5]) ).
fof(f1320,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1319,f751,f241,f225]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ0_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK3_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f194,f306]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ0_spl
| ~ p105(sK13_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f194,f42]) ).
fof(f1333,plain,
! [X0] :
( ~ sQ0_spl
| r1(sK0_skl,sK13_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f194,f41]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ0_spl
| r1(sK0_skl,sK7_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f194,f33]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ0_spl
| r1(sK0_skl,sK3_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f194,f27]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ0_spl
| r1(sK0_skl,sK1_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f194,f23]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ15_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1335,f1331]) ).
fof(f1346,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1343,f5]) ).
fof(f1347,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1346,f751,f241,f193]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ5_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK4_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f210,f305]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ5_spl
| r1(sK0_skl,sK2_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f210,f25]) ).
fof(f1376,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ13_spl
| ~ r1(sK0_skl,sK48_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f558,f283]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ5_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f352]) ).
fof(f1380,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1377,f5]) ).
fof(f1381,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1380,f751,f209,f241]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK1_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f310,f194]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1408,f1336]) ).
fof(f1412,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1409,f5]) ).
fof(f1413,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1412,f751,f225,f193]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ18_spl
| r1(sK0_skl,sK49_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f251,f118]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ18_spl
| ~ p102(sK49_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f251,f119]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK2_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f1082,f210]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ18_spl
| ~ r1(sK0_skl,sK49_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1425,f283]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ10_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1435,f1372]) ).
fof(f1444,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1441,f5]) ).
fof(f1445,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1444,f751,f225,f209]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ20_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK7_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f300,f194]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ20_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1480,f1334]) ).
fof(f1484,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1481,f5]) ).
fof(f1485,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1484,f751,f257,f193]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ5_spl
| r1(sK0_skl,sK8_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f210,f35]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ20_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(sK0_skl,sK8_skl(sK0_skl,X0)) ),
inference(resolution,[status(thm)],[f812,f210]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ18_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1440,f1424]) ).
fof(f1523,plain,
( ~ sQ28_spl
| ~ sQ18_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1520,f5]) ).
fof(f1524,plain,
( ~ sQ28_spl
| ~ sQ18_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1523,f751,f250,f282]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ20_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1519,f1506]) ).
fof(f1540,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1537,f5]) ).
fof(f1541,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1540,f751,f257,f209]) ).
fof(f1555,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sP9_prd(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f264,f191]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ0_spl
| ~ r1(sK0_skl,sK13_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1332,f274]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ0_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1566,f1333]) ).
fof(f1570,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1567,f5]) ).
fof(f1571,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1570,f751,f193,f273]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ28_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f557,f1376]) ).
fof(f1604,plain,
( ~ sQ13_spl
| ~ sQ28_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1601,f5]) ).
fof(f1605,plain,
( ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1604,f751,f282,f234]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ27_spl
| sP9_prd(sK44_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| sP9_prd(sK44_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f385,f100]) ).
fof(f1626,plain,
! [X0] :
( ~ sQ27_spl
| sP9_prd(sK44_skl(sK0_skl,X0),sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1623]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| ~ r1(sK0_skl,sK44_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1626,f1555]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ27_spl
| r1(sK0_skl,sK44_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1626,f190]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ22_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1629,f1627]) ).
fof(f1637,plain,
( ~ sQ27_spl
| ~ sQ22_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1634,f5]) ).
fof(f1638,plain,
( ~ sQ27_spl
| ~ sQ22_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1637,f751,f263,f279]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ17_spl
| ~ r1(sK0_skl,sK43_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f248,f384]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ17_spl
| ~ p303(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1639,f98]) ).
fof(f1648,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1645,f925,f247,f279]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ4_spl
| ~ p101(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f206,f132]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ4_spl
| ~ p201(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f206,f128]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ4_spl
| ~ p301(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f206,f125]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ4_spl
| ~ p401(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f206,f123]) ).
fof(f1663,plain,
( ~ sQ4_spl
| ~ sQ29_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1659,f291,f285,f205]) ).
fof(f1664,plain,
( ~ sQ4_spl
| ~ sQ24_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1660,f291,f269,f205]) ).
fof(f1665,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1661,f291,f253,f205]) ).
fof(f1666,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1662,f291,f237,f205]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ9_spl
| ~ p101(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f222,f133]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ9_spl
| ~ p201(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f222,f129]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ9_spl
| ~ p301(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f222,f126]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ9_spl
| ~ p401(sK0_skl)
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f222,f124]) ).
fof(f1693,plain,
( ~ sQ9_spl
| ~ sQ29_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1688,f291,f285,f221]) ).
fof(f1694,plain,
( ~ sQ9_spl
| ~ sQ24_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1689,f291,f269,f221]) ).
fof(f1695,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1690,f291,f253,f221]) ).
fof(f1696,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1691,f291,f237,f221]) ).
fof(f1736,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ7_spl
| ~ r1(sK0_skl,sK41_skl(sK0_skl,X0))
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f600,f280]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ7_spl
| ~ r1(X0,sK0_skl)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1736,f656]) ).
fof(f1748,plain,
( ~ sQ27_spl
| ~ sQ7_spl
| ~ r1(sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1745,f5]) ).
fof(f1749,plain,
( ~ sQ27_spl
| ~ sQ7_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1748,f751,f215,f279]) ).
fof(f1750,plain,
$false,
inference(sat_refutation,[status(thm)],[f208,f224,f240,f256,f272,f288,f294,f318,f332,f334,f336,f338,f340,f345,f346,f347,f348,f362,f363,f366,f374,f393,f401,f402,f403,f408,f409,f433,f458,f468,f482,f499,f531,f550,f562,f563,f581,f598,f604,f645,f674,f733,f743,f757,f759,f795,f825,f861,f888,f906,f907,f928,f938,f988,f996,f997,f1033,f1071,f1094,f1117,f1165,f1205,f1240,f1280,f1320,f1347,f1381,f1413,f1445,f1485,f1524,f1541,f1571,f1605,f1638,f1648,f1663,f1664,f1665,f1666,f1693,f1694,f1695,f1696,f1749]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL684+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41 % Computer : n017.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 21 00:52:27 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.44 % Drodi V4.1.1
% 5.92/1.42 % Refutation found
% 5.92/1.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.92/1.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.04/1.45 % Elapsed time: 1.025050 seconds
% 1.04/1.45 % CPU time: 7.699814 seconds
% 1.04/1.45 % Total memory used: 67.731 MB
% 1.04/1.45 % Net memory used: 61.731 MB
%------------------------------------------------------------------------------