%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL684+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 : Fri Sep 25 02:08:10 PM UTC 2026
% Result : Theorem 4.23s 6.85s
% Output : CNFRefutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 43
% Syntax : Number of formulae : 1172 ( 5 unt; 41 def)
% Number of atoms : 7616 ( 0 equ)
% Maximal formula atoms : 316 ( 6 avg)
% Number of connectives : 11829 (5425 ~;5384 |;1020 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 89 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 86 ( 85 usr; 12 prp; 0-2 aty)
% Number of functors : 49 ( 49 usr; 1 con; 0-1 aty)
% Number of variables : 2692 ( 0 sgn2434 !; 258 ?; 934 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p105(X1)
| ~ r1(X0,X1) ) )
& ( p201(X0)
| p202(X0)
| ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( p101(X0)
& p201(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p301(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p301(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p401(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p401(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p501(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p202(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p302(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p302(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p402(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p402(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p502(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p203(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p303(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p303(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p403(X0)
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p403(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p503(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p204(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p304(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p304(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p404(X0)
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p404(X0)
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p504(X0)
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p405(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p405(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p505(X0)
& p605(X0) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p105(X1)
| ~ r1(X0,X1) ) )
& ( p201(X0)
| p202(X0)
| ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( p101(X0)
& p201(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p301(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p301(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p401(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p401(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p501(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p202(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p302(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p302(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p402(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p402(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p502(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p203(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p303(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p303(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p403(X0)
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p403(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p503(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p204(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p304(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p304(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p404(X0)
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p404(X0)
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p504(X0)
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p405(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p405(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p505(X0)
& p605(X0) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X136] :
( p102(X136)
| ~ r1(X0,X136) )
| ! [X135] :
( p103(X135)
| ~ r1(X0,X135) )
| ! [X134] :
( p104(X134)
| ~ r1(X0,X134) )
| ! [X133] :
( p105(X133)
| ~ r1(X0,X133) ) )
& ( p201(X0)
| p202(X0)
| ! [X132] :
( p203(X132)
| ~ r1(X0,X132) )
| ! [X131] :
( p204(X131)
| ~ r1(X0,X131) )
| ! [X130] :
( p205(X130)
| ~ r1(X0,X130) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X129] :
( p304(X129)
| ~ r1(X0,X129) )
| ! [X128] :
( p305(X128)
| ~ r1(X0,X128) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X127] :
( p405(X127)
| ~ r1(X0,X127) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X126] :
( ~ ( p101(X126)
& p201(X126) )
| ~ r1(X1,X126) )
| ~ ! [X125] :
( ~ ( p101(X125)
& p301(X125) )
| ~ r1(X1,X125) )
| ~ ! [X124] :
( ~ ( p101(X124)
& p401(X124) )
| ~ r1(X1,X124) )
| ~ ! [X123] :
( ~ ( p101(X123)
& p501(X123) )
| ~ r1(X1,X123) )
| ~ ! [X122] :
( ~ ( p101(X122)
& p601(X122) )
| ~ r1(X1,X122) )
| ~ ! [X121] :
( ~ ( p201(X121)
& p301(X121) )
| ~ r1(X1,X121) )
| ~ ! [X120] :
( ~ ( p201(X120)
& p401(X120) )
| ~ r1(X1,X120) )
| ~ ! [X119] :
( ~ ( p201(X119)
& p501(X119) )
| ~ r1(X1,X119) )
| ~ ! [X118] :
( ~ ( p201(X118)
& p601(X118) )
| ~ r1(X1,X118) )
| ~ ! [X117] :
( ~ ( p301(X117)
& p401(X117) )
| ~ r1(X1,X117) )
| ~ ! [X116] :
( ~ ( p301(X116)
& p501(X116) )
| ~ r1(X1,X116) )
| ~ ! [X115] :
( ~ ( p301(X115)
& p601(X115) )
| ~ r1(X1,X115) )
| ~ ! [X114] :
( ~ ( p401(X114)
& p501(X114) )
| ~ r1(X1,X114) )
| ~ ! [X113] :
( ~ ( p401(X113)
& p601(X113) )
| ~ r1(X1,X113) )
| ~ ! [X112] :
( ~ ( p501(X112)
& p601(X112) )
| ~ r1(X1,X112) )
| ~ ! [X110] :
( ~ ( ! [X111] :
( p102(X111)
| ~ r1(X110,X111) )
& p202(X110) )
| ~ r1(X1,X110) )
| ~ ! [X108] :
( ~ ( ! [X109] :
( p102(X109)
| ~ r1(X108,X109) )
& p302(X108) )
| ~ r1(X1,X108) )
| ~ ! [X106] :
( ~ ( ! [X107] :
( p102(X107)
| ~ r1(X106,X107) )
& p402(X106) )
| ~ r1(X1,X106) )
| ~ ! [X104] :
( ~ ( ! [X105] :
( p102(X105)
| ~ r1(X104,X105) )
& p502(X104) )
| ~ r1(X1,X104) )
| ~ ! [X102] :
( ~ ( ! [X103] :
( p102(X103)
| ~ r1(X102,X103) )
& p602(X102) )
| ~ r1(X1,X102) )
| ~ ! [X101] :
( ~ ( p202(X101)
& p302(X101) )
| ~ r1(X1,X101) )
| ~ ! [X100] :
( ~ ( p202(X100)
& p402(X100) )
| ~ r1(X1,X100) )
| ~ ! [X99] :
( ~ ( p202(X99)
& p502(X99) )
| ~ r1(X1,X99) )
| ~ ! [X98] :
( ~ ( p202(X98)
& p602(X98) )
| ~ r1(X1,X98) )
| ~ ! [X97] :
( ~ ( p302(X97)
& p402(X97) )
| ~ r1(X1,X97) )
| ~ ! [X96] :
( ~ ( p302(X96)
& p502(X96) )
| ~ r1(X1,X96) )
| ~ ! [X95] :
( ~ ( p302(X95)
& p602(X95) )
| ~ r1(X1,X95) )
| ~ ! [X94] :
( ~ ( p402(X94)
& p502(X94) )
| ~ r1(X1,X94) )
| ~ ! [X93] :
( ~ ( p402(X93)
& p602(X93) )
| ~ r1(X1,X93) )
| ~ ! [X92] :
( ~ ( p502(X92)
& p602(X92) )
| ~ r1(X1,X92) )
| ~ ! [X89] :
( ~ ( ! [X91] :
( p103(X91)
| ~ r1(X89,X91) )
& ! [X90] :
( p203(X90)
| ~ r1(X89,X90) ) )
| ~ r1(X1,X89) )
| ~ ! [X87] :
( ~ ( ! [X88] :
( p103(X88)
| ~ r1(X87,X88) )
& p303(X87) )
| ~ r1(X1,X87) )
| ~ ! [X85] :
( ~ ( ! [X86] :
( p103(X86)
| ~ r1(X85,X86) )
& p403(X85) )
| ~ r1(X1,X85) )
| ~ ! [X83] :
( ~ ( ! [X84] :
( p103(X84)
| ~ r1(X83,X84) )
& p503(X83) )
| ~ r1(X1,X83) )
| ~ ! [X81] :
( ~ ( ! [X82] :
( p103(X82)
| ~ r1(X81,X82) )
& p603(X81) )
| ~ r1(X1,X81) )
| ~ ! [X79] :
( ~ ( ! [X80] :
( p203(X80)
| ~ r1(X79,X80) )
& p303(X79) )
| ~ r1(X1,X79) )
| ~ ! [X77] :
( ~ ( ! [X78] :
( p203(X78)
| ~ r1(X77,X78) )
& p403(X77) )
| ~ r1(X1,X77) )
| ~ ! [X75] :
( ~ ( ! [X76] :
( p203(X76)
| ~ r1(X75,X76) )
& p503(X75) )
| ~ r1(X1,X75) )
| ~ ! [X73] :
( ~ ( ! [X74] :
( p203(X74)
| ~ r1(X73,X74) )
& p603(X73) )
| ~ r1(X1,X73) )
| ~ ! [X72] :
( ~ ( p303(X72)
& p403(X72) )
| ~ r1(X1,X72) )
| ~ ! [X71] :
( ~ ( p303(X71)
& p503(X71) )
| ~ r1(X1,X71) )
| ~ ! [X70] :
( ~ ( p303(X70)
& p603(X70) )
| ~ r1(X1,X70) )
| ~ ! [X69] :
( ~ ( p403(X69)
& p503(X69) )
| ~ r1(X1,X69) )
| ~ ! [X68] :
( ~ ( p403(X68)
& p603(X68) )
| ~ r1(X1,X68) )
| ~ ! [X67] :
( ~ ( p503(X67)
& p603(X67) )
| ~ r1(X1,X67) )
| ~ ! [X64] :
( ~ ( ! [X66] :
( p104(X66)
| ~ r1(X64,X66) )
& ! [X65] :
( p204(X65)
| ~ r1(X64,X65) ) )
| ~ r1(X1,X64) )
| ~ ! [X61] :
( ~ ( ! [X63] :
( p104(X63)
| ~ r1(X61,X63) )
& ! [X62] :
( p304(X62)
| ~ r1(X61,X62) ) )
| ~ r1(X1,X61) )
| ~ ! [X59] :
( ~ ( ! [X60] :
( p104(X60)
| ~ r1(X59,X60) )
& p404(X59) )
| ~ r1(X1,X59) )
| ~ ! [X57] :
( ~ ( ! [X58] :
( p104(X58)
| ~ r1(X57,X58) )
& p504(X57) )
| ~ r1(X1,X57) )
| ~ ! [X55] :
( ~ ( ! [X56] :
( p104(X56)
| ~ r1(X55,X56) )
& p604(X55) )
| ~ r1(X1,X55) )
| ~ ! [X52] :
( ~ ( ! [X54] :
( p204(X54)
| ~ r1(X52,X54) )
& ! [X53] :
( p304(X53)
| ~ r1(X52,X53) ) )
| ~ r1(X1,X52) )
| ~ ! [X50] :
( ~ ( ! [X51] :
( p204(X51)
| ~ r1(X50,X51) )
& p404(X50) )
| ~ r1(X1,X50) )
| ~ ! [X48] :
( ~ ( ! [X49] :
( p204(X49)
| ~ r1(X48,X49) )
& p504(X48) )
| ~ r1(X1,X48) )
| ~ ! [X46] :
( ~ ( ! [X47] :
( p204(X47)
| ~ r1(X46,X47) )
& p604(X46) )
| ~ r1(X1,X46) )
| ~ ! [X44] :
( ~ ( ! [X45] :
( p304(X45)
| ~ r1(X44,X45) )
& p404(X44) )
| ~ r1(X1,X44) )
| ~ ! [X42] :
( ~ ( ! [X43] :
( p304(X43)
| ~ r1(X42,X43) )
& p504(X42) )
| ~ r1(X1,X42) )
| ~ ! [X40] :
( ~ ( ! [X41] :
( p304(X41)
| ~ r1(X40,X41) )
& p604(X40) )
| ~ r1(X1,X40) )
| ~ ! [X39] :
( ~ ( p404(X39)
& p504(X39) )
| ~ r1(X1,X39) )
| ~ ! [X38] :
( ~ ( p404(X38)
& p604(X38) )
| ~ r1(X1,X38) )
| ~ ! [X37] :
( ~ ( p504(X37)
& p604(X37) )
| ~ r1(X1,X37) )
| ~ ! [X34] :
( ~ ( ! [X36] :
( p105(X36)
| ~ r1(X34,X36) )
& ! [X35] :
( p205(X35)
| ~ r1(X34,X35) ) )
| ~ r1(X1,X34) )
| ~ ! [X31] :
( ~ ( ! [X33] :
( p105(X33)
| ~ r1(X31,X33) )
& ! [X32] :
( p305(X32)
| ~ r1(X31,X32) ) )
| ~ r1(X1,X31) )
| ~ ! [X28] :
( ~ ( ! [X30] :
( p105(X30)
| ~ r1(X28,X30) )
& ! [X29] :
( p405(X29)
| ~ r1(X28,X29) ) )
| ~ r1(X1,X28) )
| ~ ! [X26] :
( ~ ( ! [X27] :
( p105(X27)
| ~ r1(X26,X27) )
& p505(X26) )
| ~ r1(X1,X26) )
| ~ ! [X24] :
( ~ ( ! [X25] :
( p105(X25)
| ~ r1(X24,X25) )
& p605(X24) )
| ~ r1(X1,X24) )
| ~ ! [X21] :
( ~ ( ! [X23] :
( p205(X23)
| ~ r1(X21,X23) )
& ! [X22] :
( p305(X22)
| ~ r1(X21,X22) ) )
| ~ r1(X1,X21) )
| ~ ! [X18] :
( ~ ( ! [X20] :
( p205(X20)
| ~ r1(X18,X20) )
& ! [X19] :
( p405(X19)
| ~ r1(X18,X19) ) )
| ~ r1(X1,X18) )
| ~ ! [X16] :
( ~ ( ! [X17] :
( p205(X17)
| ~ r1(X16,X17) )
& p505(X16) )
| ~ r1(X1,X16) )
| ~ ! [X14] :
( ~ ( ! [X15] :
( p205(X15)
| ~ r1(X14,X15) )
& p605(X14) )
| ~ r1(X1,X14) )
| ~ ! [X11] :
( ~ ( ! [X13] :
( p305(X13)
| ~ r1(X11,X13) )
& ! [X12] :
( p405(X12)
| ~ r1(X11,X12) ) )
| ~ r1(X1,X11) )
| ~ ! [X9] :
( ~ ( ! [X10] :
( p305(X10)
| ~ r1(X9,X10) )
& p505(X9) )
| ~ r1(X1,X9) )
| ~ ! [X7] :
( ~ ( ! [X8] :
( p305(X8)
| ~ r1(X7,X8) )
& p605(X7) )
| ~ r1(X1,X7) )
| ~ ! [X5] :
( ~ ( ! [X6] :
( p405(X6)
| ~ r1(X5,X6) )
& p505(X5) )
| ~ r1(X1,X5) )
| ~ ! [X3] :
( ~ ( ! [X4] :
( p405(X4)
| ~ r1(X3,X4) )
& p605(X3) )
| ~ r1(X1,X3) )
| ~ ! [X2] :
( ~ ( p505(X2)
& p605(X2) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X136] :
( p102(X136)
| ~ r1(X0,X136) )
| ! [X135] :
( p103(X135)
| ~ r1(X0,X135) )
| ! [X134] :
( p104(X134)
| ~ r1(X0,X134) )
| ! [X133] :
( p105(X133)
| ~ r1(X0,X133) ) )
& ( p201(X0)
| p202(X0)
| ! [X132] :
( p203(X132)
| ~ r1(X0,X132) )
| ! [X131] :
( p204(X131)
| ~ r1(X0,X131) )
| ! [X130] :
( p205(X130)
| ~ r1(X0,X130) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X129] :
( p304(X129)
| ~ r1(X0,X129) )
| ! [X128] :
( p305(X128)
| ~ r1(X0,X128) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X127] :
( p405(X127)
| ~ r1(X0,X127) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X126] :
( ~ ( p101(X126)
& p201(X126) )
| ~ r1(X1,X126) )
| ~ ! [X125] :
( ~ ( p101(X125)
& p301(X125) )
| ~ r1(X1,X125) )
| ~ ! [X124] :
( ~ ( p101(X124)
& p401(X124) )
| ~ r1(X1,X124) )
| ~ ! [X123] :
( ~ ( p101(X123)
& p501(X123) )
| ~ r1(X1,X123) )
| ~ ! [X122] :
( ~ ( p101(X122)
& p601(X122) )
| ~ r1(X1,X122) )
| ~ ! [X121] :
( ~ ( p201(X121)
& p301(X121) )
| ~ r1(X1,X121) )
| ~ ! [X120] :
( ~ ( p201(X120)
& p401(X120) )
| ~ r1(X1,X120) )
| ~ ! [X119] :
( ~ ( p201(X119)
& p501(X119) )
| ~ r1(X1,X119) )
| ~ ! [X118] :
( ~ ( p201(X118)
& p601(X118) )
| ~ r1(X1,X118) )
| ~ ! [X117] :
( ~ ( p301(X117)
& p401(X117) )
| ~ r1(X1,X117) )
| ~ ! [X116] :
( ~ ( p301(X116)
& p501(X116) )
| ~ r1(X1,X116) )
| ~ ! [X115] :
( ~ ( p301(X115)
& p601(X115) )
| ~ r1(X1,X115) )
| ~ ! [X114] :
( ~ ( p401(X114)
& p501(X114) )
| ~ r1(X1,X114) )
| ~ ! [X113] :
( ~ ( p401(X113)
& p601(X113) )
| ~ r1(X1,X113) )
| ~ ! [X112] :
( ~ ( p501(X112)
& p601(X112) )
| ~ r1(X1,X112) )
| ~ ! [X110] :
( ~ ( ! [X111] :
( p102(X111)
| ~ r1(X110,X111) )
& p202(X110) )
| ~ r1(X1,X110) )
| ~ ! [X108] :
( ~ ( ! [X109] :
( p102(X109)
| ~ r1(X108,X109) )
& p302(X108) )
| ~ r1(X1,X108) )
| ~ ! [X106] :
( ~ ( ! [X107] :
( p102(X107)
| ~ r1(X106,X107) )
& p402(X106) )
| ~ r1(X1,X106) )
| ~ ! [X104] :
( ~ ( ! [X105] :
( p102(X105)
| ~ r1(X104,X105) )
& p502(X104) )
| ~ r1(X1,X104) )
| ~ ! [X102] :
( ~ ( ! [X103] :
( p102(X103)
| ~ r1(X102,X103) )
& p602(X102) )
| ~ r1(X1,X102) )
| ~ ! [X101] :
( ~ ( p202(X101)
& p302(X101) )
| ~ r1(X1,X101) )
| ~ ! [X100] :
( ~ ( p202(X100)
& p402(X100) )
| ~ r1(X1,X100) )
| ~ ! [X99] :
( ~ ( p202(X99)
& p502(X99) )
| ~ r1(X1,X99) )
| ~ ! [X98] :
( ~ ( p202(X98)
& p602(X98) )
| ~ r1(X1,X98) )
| ~ ! [X97] :
( ~ ( p302(X97)
& p402(X97) )
| ~ r1(X1,X97) )
| ~ ! [X96] :
( ~ ( p302(X96)
& p502(X96) )
| ~ r1(X1,X96) )
| ~ ! [X95] :
( ~ ( p302(X95)
& p602(X95) )
| ~ r1(X1,X95) )
| ~ ! [X94] :
( ~ ( p402(X94)
& p502(X94) )
| ~ r1(X1,X94) )
| ~ ! [X93] :
( ~ ( p402(X93)
& p602(X93) )
| ~ r1(X1,X93) )
| ~ ! [X92] :
( ~ ( p502(X92)
& p602(X92) )
| ~ r1(X1,X92) )
| ~ ! [X89] :
( ~ ( ! [X91] :
( p103(X91)
| ~ r1(X89,X91) )
& ! [X90] :
( p203(X90)
| ~ r1(X89,X90) ) )
| ~ r1(X1,X89) )
| ~ ! [X87] :
( ~ ( ! [X88] :
( p103(X88)
| ~ r1(X87,X88) )
& p303(X87) )
| ~ r1(X1,X87) )
| ~ ! [X85] :
( ~ ( ! [X86] :
( p103(X86)
| ~ r1(X85,X86) )
& p403(X85) )
| ~ r1(X1,X85) )
| ~ ! [X83] :
( ~ ( ! [X84] :
( p103(X84)
| ~ r1(X83,X84) )
& p503(X83) )
| ~ r1(X1,X83) )
| ~ ! [X81] :
( ~ ( ! [X82] :
( p103(X82)
| ~ r1(X81,X82) )
& p603(X81) )
| ~ r1(X1,X81) )
| ~ ! [X79] :
( ~ ( ! [X80] :
( p203(X80)
| ~ r1(X79,X80) )
& p303(X79) )
| ~ r1(X1,X79) )
| ~ ! [X77] :
( ~ ( ! [X78] :
( p203(X78)
| ~ r1(X77,X78) )
& p403(X77) )
| ~ r1(X1,X77) )
| ~ ! [X75] :
( ~ ( ! [X76] :
( p203(X76)
| ~ r1(X75,X76) )
& p503(X75) )
| ~ r1(X1,X75) )
| ~ ! [X73] :
( ~ ( ! [X74] :
( p203(X74)
| ~ r1(X73,X74) )
& p603(X73) )
| ~ r1(X1,X73) )
| ~ ! [X72] :
( ~ ( p303(X72)
& p403(X72) )
| ~ r1(X1,X72) )
| ~ ! [X71] :
( ~ ( p303(X71)
& p503(X71) )
| ~ r1(X1,X71) )
| ~ ! [X70] :
( ~ ( p303(X70)
& p603(X70) )
| ~ r1(X1,X70) )
| ~ ! [X69] :
( ~ ( p403(X69)
& p503(X69) )
| ~ r1(X1,X69) )
| ~ ! [X68] :
( ~ ( p403(X68)
& p603(X68) )
| ~ r1(X1,X68) )
| ~ ! [X67] :
( ~ ( p503(X67)
& p603(X67) )
| ~ r1(X1,X67) )
| ~ ! [X64] :
( ~ ( ! [X66] :
( p104(X66)
| ~ r1(X64,X66) )
& ! [X65] :
( p204(X65)
| ~ r1(X64,X65) ) )
| ~ r1(X1,X64) )
| ~ ! [X61] :
( ~ ( ! [X63] :
( p104(X63)
| ~ r1(X61,X63) )
& ! [X62] :
( p304(X62)
| ~ r1(X61,X62) ) )
| ~ r1(X1,X61) )
| ~ ! [X59] :
( ~ ( ! [X60] :
( p104(X60)
| ~ r1(X59,X60) )
& p404(X59) )
| ~ r1(X1,X59) )
| ~ ! [X57] :
( ~ ( ! [X58] :
( p104(X58)
| ~ r1(X57,X58) )
& p504(X57) )
| ~ r1(X1,X57) )
| ~ ! [X55] :
( ~ ( ! [X56] :
( p104(X56)
| ~ r1(X55,X56) )
& p604(X55) )
| ~ r1(X1,X55) )
| ~ ! [X52] :
( ~ ( ! [X54] :
( p204(X54)
| ~ r1(X52,X54) )
& ! [X53] :
( p304(X53)
| ~ r1(X52,X53) ) )
| ~ r1(X1,X52) )
| ~ ! [X50] :
( ~ ( ! [X51] :
( p204(X51)
| ~ r1(X50,X51) )
& p404(X50) )
| ~ r1(X1,X50) )
| ~ ! [X48] :
( ~ ( ! [X49] :
( p204(X49)
| ~ r1(X48,X49) )
& p504(X48) )
| ~ r1(X1,X48) )
| ~ ! [X46] :
( ~ ( ! [X47] :
( p204(X47)
| ~ r1(X46,X47) )
& p604(X46) )
| ~ r1(X1,X46) )
| ~ ! [X44] :
( ~ ( ! [X45] :
( p304(X45)
| ~ r1(X44,X45) )
& p404(X44) )
| ~ r1(X1,X44) )
| ~ ! [X42] :
( ~ ( ! [X43] :
( p304(X43)
| ~ r1(X42,X43) )
& p504(X42) )
| ~ r1(X1,X42) )
| ~ ! [X40] :
( ~ ( ! [X41] :
( p304(X41)
| ~ r1(X40,X41) )
& p604(X40) )
| ~ r1(X1,X40) )
| ~ ! [X39] :
( ~ ( p404(X39)
& p504(X39) )
| ~ r1(X1,X39) )
| ~ ! [X38] :
( ~ ( p404(X38)
& p604(X38) )
| ~ r1(X1,X38) )
| ~ ! [X37] :
( ~ ( p504(X37)
& p604(X37) )
| ~ r1(X1,X37) )
| ~ ! [X34] :
( ~ ( ! [X36] :
( p105(X36)
| ~ r1(X34,X36) )
& ! [X35] :
( p205(X35)
| ~ r1(X34,X35) ) )
| ~ r1(X1,X34) )
| ~ ! [X31] :
( ~ ( ! [X33] :
( p105(X33)
| ~ r1(X31,X33) )
& ! [X32] :
( p305(X32)
| ~ r1(X31,X32) ) )
| ~ r1(X1,X31) )
| ~ ! [X28] :
( ~ ( ! [X30] :
( p105(X30)
| ~ r1(X28,X30) )
& ! [X29] :
( p405(X29)
| ~ r1(X28,X29) ) )
| ~ r1(X1,X28) )
| ~ ! [X26] :
( ~ ( ! [X27] :
( p105(X27)
| ~ r1(X26,X27) )
& p505(X26) )
| ~ r1(X1,X26) )
| ~ ! [X24] :
( ~ ( ! [X25] :
( p105(X25)
| ~ r1(X24,X25) )
& p605(X24) )
| ~ r1(X1,X24) )
| ~ ! [X21] :
( ~ ( ! [X23] :
( p205(X23)
| ~ r1(X21,X23) )
& ! [X22] :
( p305(X22)
| ~ r1(X21,X22) ) )
| ~ r1(X1,X21) )
| ~ ! [X18] :
( ~ ( ! [X20] :
( p205(X20)
| ~ r1(X18,X20) )
& ! [X19] :
( p405(X19)
| ~ r1(X18,X19) ) )
| ~ r1(X1,X18) )
| ~ ! [X16] :
( ~ ( ! [X17] :
( p205(X17)
| ~ r1(X16,X17) )
& p505(X16) )
| ~ r1(X1,X16) )
| ~ ! [X14] :
( ~ ( ! [X15] :
( p205(X15)
| ~ r1(X14,X15) )
& p605(X14) )
| ~ r1(X1,X14) )
| ~ ! [X11] :
( ~ ( ! [X13] :
( p305(X13)
| ~ r1(X11,X13) )
& ! [X12] :
( p405(X12)
| ~ r1(X11,X12) ) )
| ~ r1(X1,X11) )
| ~ ! [X9] :
( ~ ( ! [X10] :
( p305(X10)
| ~ r1(X9,X10) )
& p505(X9) )
| ~ r1(X1,X9) )
| ~ ! [X7] :
( ~ ( ! [X8] :
( p305(X8)
| ~ r1(X7,X8) )
& p605(X7) )
| ~ r1(X1,X7) )
| ~ ! [X5] :
( ~ ( ! [X6] :
( p405(X6)
| ~ r1(X5,X6) )
& p505(X5) )
| ~ r1(X1,X5) )
| ~ ! [X3] :
( ~ ( ! [X4] :
( p405(X4)
| ~ r1(X3,X4) )
& p605(X3) )
| ~ r1(X1,X3) )
| ~ ! [X2] :
( ~ ( p505(X2)
& p605(X2) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ( p101(X0)
| ! [X136] :
( p102(X136)
| ~ r1(X0,X136) )
| ! [X135] :
( p103(X135)
| ~ r1(X0,X135) )
| ! [X134] :
( p104(X134)
| ~ r1(X0,X134) )
| ! [X133] :
( p105(X133)
| ~ r1(X0,X133) ) )
& ( p201(X0)
| p202(X0)
| ! [X132] :
( p203(X132)
| ~ r1(X0,X132) )
| ! [X131] :
( p204(X131)
| ~ r1(X0,X131) )
| ! [X130] :
( p205(X130)
| ~ r1(X0,X130) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X129] :
( p304(X129)
| ~ r1(X0,X129) )
| ! [X128] :
( p305(X128)
| ~ r1(X0,X128) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X127] :
( p405(X127)
| ~ r1(X0,X127) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X1] :
( ( ! [X126] :
( ~ p101(X126)
| ~ p201(X126)
| ~ r1(X1,X126) )
& ! [X125] :
( ~ p101(X125)
| ~ p301(X125)
| ~ r1(X1,X125) )
& ! [X124] :
( ~ p101(X124)
| ~ p401(X124)
| ~ r1(X1,X124) )
& ! [X123] :
( ~ p101(X123)
| ~ p501(X123)
| ~ r1(X1,X123) )
& ! [X122] :
( ~ p101(X122)
| ~ p601(X122)
| ~ r1(X1,X122) )
& ! [X121] :
( ~ p201(X121)
| ~ p301(X121)
| ~ r1(X1,X121) )
& ! [X120] :
( ~ p201(X120)
| ~ p401(X120)
| ~ r1(X1,X120) )
& ! [X119] :
( ~ p201(X119)
| ~ p501(X119)
| ~ r1(X1,X119) )
& ! [X118] :
( ~ p201(X118)
| ~ p601(X118)
| ~ r1(X1,X118) )
& ! [X117] :
( ~ p301(X117)
| ~ p401(X117)
| ~ r1(X1,X117) )
& ! [X116] :
( ~ p301(X116)
| ~ p501(X116)
| ~ r1(X1,X116) )
& ! [X115] :
( ~ p301(X115)
| ~ p601(X115)
| ~ r1(X1,X115) )
& ! [X114] :
( ~ p401(X114)
| ~ p501(X114)
| ~ r1(X1,X114) )
& ! [X113] :
( ~ p401(X113)
| ~ p601(X113)
| ~ r1(X1,X113) )
& ! [X112] :
( ~ p501(X112)
| ~ p601(X112)
| ~ r1(X1,X112) )
& ! [X110] :
( ? [X111] :
( ~ p102(X111)
& r1(X110,X111) )
| ~ p202(X110)
| ~ r1(X1,X110) )
& ! [X108] :
( ? [X109] :
( ~ p102(X109)
& r1(X108,X109) )
| ~ p302(X108)
| ~ r1(X1,X108) )
& ! [X106] :
( ? [X107] :
( ~ p102(X107)
& r1(X106,X107) )
| ~ p402(X106)
| ~ r1(X1,X106) )
& ! [X104] :
( ? [X105] :
( ~ p102(X105)
& r1(X104,X105) )
| ~ p502(X104)
| ~ r1(X1,X104) )
& ! [X102] :
( ? [X103] :
( ~ p102(X103)
& r1(X102,X103) )
| ~ p602(X102)
| ~ r1(X1,X102) )
& ! [X101] :
( ~ p202(X101)
| ~ p302(X101)
| ~ r1(X1,X101) )
& ! [X100] :
( ~ p202(X100)
| ~ p402(X100)
| ~ r1(X1,X100) )
& ! [X99] :
( ~ p202(X99)
| ~ p502(X99)
| ~ r1(X1,X99) )
& ! [X98] :
( ~ p202(X98)
| ~ p602(X98)
| ~ r1(X1,X98) )
& ! [X97] :
( ~ p302(X97)
| ~ p402(X97)
| ~ r1(X1,X97) )
& ! [X96] :
( ~ p302(X96)
| ~ p502(X96)
| ~ r1(X1,X96) )
& ! [X95] :
( ~ p302(X95)
| ~ p602(X95)
| ~ r1(X1,X95) )
& ! [X94] :
( ~ p402(X94)
| ~ p502(X94)
| ~ r1(X1,X94) )
& ! [X93] :
( ~ p402(X93)
| ~ p602(X93)
| ~ r1(X1,X93) )
& ! [X92] :
( ~ p502(X92)
| ~ p602(X92)
| ~ r1(X1,X92) )
& ! [X89] :
( ? [X91] :
( ~ p103(X91)
& r1(X89,X91) )
| ? [X90] :
( ~ p203(X90)
& r1(X89,X90) )
| ~ r1(X1,X89) )
& ! [X87] :
( ? [X88] :
( ~ p103(X88)
& r1(X87,X88) )
| ~ p303(X87)
| ~ r1(X1,X87) )
& ! [X85] :
( ? [X86] :
( ~ p103(X86)
& r1(X85,X86) )
| ~ p403(X85)
| ~ r1(X1,X85) )
& ! [X83] :
( ? [X84] :
( ~ p103(X84)
& r1(X83,X84) )
| ~ p503(X83)
| ~ r1(X1,X83) )
& ! [X81] :
( ? [X82] :
( ~ p103(X82)
& r1(X81,X82) )
| ~ p603(X81)
| ~ r1(X1,X81) )
& ! [X79] :
( ? [X80] :
( ~ p203(X80)
& r1(X79,X80) )
| ~ p303(X79)
| ~ r1(X1,X79) )
& ! [X77] :
( ? [X78] :
( ~ p203(X78)
& r1(X77,X78) )
| ~ p403(X77)
| ~ r1(X1,X77) )
& ! [X75] :
( ? [X76] :
( ~ p203(X76)
& r1(X75,X76) )
| ~ p503(X75)
| ~ r1(X1,X75) )
& ! [X73] :
( ? [X74] :
( ~ p203(X74)
& r1(X73,X74) )
| ~ p603(X73)
| ~ r1(X1,X73) )
& ! [X72] :
( ~ p303(X72)
| ~ p403(X72)
| ~ r1(X1,X72) )
& ! [X71] :
( ~ p303(X71)
| ~ p503(X71)
| ~ r1(X1,X71) )
& ! [X70] :
( ~ p303(X70)
| ~ p603(X70)
| ~ r1(X1,X70) )
& ! [X69] :
( ~ p403(X69)
| ~ p503(X69)
| ~ r1(X1,X69) )
& ! [X68] :
( ~ p403(X68)
| ~ p603(X68)
| ~ r1(X1,X68) )
& ! [X67] :
( ~ p503(X67)
| ~ p603(X67)
| ~ r1(X1,X67) )
& ! [X64] :
( ? [X66] :
( ~ p104(X66)
& r1(X64,X66) )
| ? [X65] :
( ~ p204(X65)
& r1(X64,X65) )
| ~ r1(X1,X64) )
& ! [X61] :
( ? [X63] :
( ~ p104(X63)
& r1(X61,X63) )
| ? [X62] :
( ~ p304(X62)
& r1(X61,X62) )
| ~ r1(X1,X61) )
& ! [X59] :
( ? [X60] :
( ~ p104(X60)
& r1(X59,X60) )
| ~ p404(X59)
| ~ r1(X1,X59) )
& ! [X57] :
( ? [X58] :
( ~ p104(X58)
& r1(X57,X58) )
| ~ p504(X57)
| ~ r1(X1,X57) )
& ! [X55] :
( ? [X56] :
( ~ p104(X56)
& r1(X55,X56) )
| ~ p604(X55)
| ~ r1(X1,X55) )
& ! [X52] :
( ? [X54] :
( ~ p204(X54)
& r1(X52,X54) )
| ? [X53] :
( ~ p304(X53)
& r1(X52,X53) )
| ~ r1(X1,X52) )
& ! [X50] :
( ? [X51] :
( ~ p204(X51)
& r1(X50,X51) )
| ~ p404(X50)
| ~ r1(X1,X50) )
& ! [X48] :
( ? [X49] :
( ~ p204(X49)
& r1(X48,X49) )
| ~ p504(X48)
| ~ r1(X1,X48) )
& ! [X46] :
( ? [X47] :
( ~ p204(X47)
& r1(X46,X47) )
| ~ p604(X46)
| ~ r1(X1,X46) )
& ! [X44] :
( ? [X45] :
( ~ p304(X45)
& r1(X44,X45) )
| ~ p404(X44)
| ~ r1(X1,X44) )
& ! [X42] :
( ? [X43] :
( ~ p304(X43)
& r1(X42,X43) )
| ~ p504(X42)
| ~ r1(X1,X42) )
& ! [X40] :
( ? [X41] :
( ~ p304(X41)
& r1(X40,X41) )
| ~ p604(X40)
| ~ r1(X1,X40) )
& ! [X39] :
( ~ p404(X39)
| ~ p504(X39)
| ~ r1(X1,X39) )
& ! [X38] :
( ~ p404(X38)
| ~ p604(X38)
| ~ r1(X1,X38) )
& ! [X37] :
( ~ p504(X37)
| ~ p604(X37)
| ~ r1(X1,X37) )
& ! [X34] :
( ? [X36] :
( ~ p105(X36)
& r1(X34,X36) )
| ? [X35] :
( ~ p205(X35)
& r1(X34,X35) )
| ~ r1(X1,X34) )
& ! [X31] :
( ? [X33] :
( ~ p105(X33)
& r1(X31,X33) )
| ? [X32] :
( ~ p305(X32)
& r1(X31,X32) )
| ~ r1(X1,X31) )
& ! [X28] :
( ? [X30] :
( ~ p105(X30)
& r1(X28,X30) )
| ? [X29] :
( ~ p405(X29)
& r1(X28,X29) )
| ~ r1(X1,X28) )
& ! [X26] :
( ? [X27] :
( ~ p105(X27)
& r1(X26,X27) )
| ~ p505(X26)
| ~ r1(X1,X26) )
& ! [X24] :
( ? [X25] :
( ~ p105(X25)
& r1(X24,X25) )
| ~ p605(X24)
| ~ r1(X1,X24) )
& ! [X21] :
( ? [X23] :
( ~ p205(X23)
& r1(X21,X23) )
| ? [X22] :
( ~ p305(X22)
& r1(X21,X22) )
| ~ r1(X1,X21) )
& ! [X18] :
( ? [X20] :
( ~ p205(X20)
& r1(X18,X20) )
| ? [X19] :
( ~ p405(X19)
& r1(X18,X19) )
| ~ r1(X1,X18) )
& ! [X16] :
( ? [X17] :
( ~ p205(X17)
& r1(X16,X17) )
| ~ p505(X16)
| ~ r1(X1,X16) )
& ! [X14] :
( ? [X15] :
( ~ p205(X15)
& r1(X14,X15) )
| ~ p605(X14)
| ~ r1(X1,X14) )
& ! [X11] :
( ? [X13] :
( ~ p305(X13)
& r1(X11,X13) )
| ? [X12] :
( ~ p405(X12)
& r1(X11,X12) )
| ~ r1(X1,X11) )
& ! [X9] :
( ? [X10] :
( ~ p305(X10)
& r1(X9,X10) )
| ~ p505(X9)
| ~ r1(X1,X9) )
& ! [X7] :
( ? [X8] :
( ~ p305(X8)
& r1(X7,X8) )
| ~ p605(X7)
| ~ r1(X1,X7) )
& ! [X5] :
( ? [X6] :
( ~ p405(X6)
& r1(X5,X6) )
| ~ p505(X5)
| ~ r1(X1,X5) )
& ! [X3] :
( ? [X4] :
( ~ p405(X4)
& r1(X3,X4) )
| ~ p605(X3)
| ~ r1(X1,X3) )
& ! [X2] :
( ~ p505(X2)
| ~ p605(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ( p101(X0)
| ! [X136] :
( p102(X136)
| ~ r1(X0,X136) )
| ! [X135] :
( p103(X135)
| ~ r1(X0,X135) )
| ! [X134] :
( p104(X134)
| ~ r1(X0,X134) )
| ! [X133] :
( p105(X133)
| ~ r1(X0,X133) ) )
& ( p201(X0)
| p202(X0)
| ! [X132] :
( p203(X132)
| ~ r1(X0,X132) )
| ! [X131] :
( p204(X131)
| ~ r1(X0,X131) )
| ! [X130] :
( p205(X130)
| ~ r1(X0,X130) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X129] :
( p304(X129)
| ~ r1(X0,X129) )
| ! [X128] :
( p305(X128)
| ~ r1(X0,X128) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X127] :
( p405(X127)
| ~ r1(X0,X127) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X1] :
( ( ! [X126] :
( ~ p101(X126)
| ~ p201(X126)
| ~ r1(X1,X126) )
& ! [X125] :
( ~ p101(X125)
| ~ p301(X125)
| ~ r1(X1,X125) )
& ! [X124] :
( ~ p101(X124)
| ~ p401(X124)
| ~ r1(X1,X124) )
& ! [X123] :
( ~ p101(X123)
| ~ p501(X123)
| ~ r1(X1,X123) )
& ! [X122] :
( ~ p101(X122)
| ~ p601(X122)
| ~ r1(X1,X122) )
& ! [X121] :
( ~ p201(X121)
| ~ p301(X121)
| ~ r1(X1,X121) )
& ! [X120] :
( ~ p201(X120)
| ~ p401(X120)
| ~ r1(X1,X120) )
& ! [X119] :
( ~ p201(X119)
| ~ p501(X119)
| ~ r1(X1,X119) )
& ! [X118] :
( ~ p201(X118)
| ~ p601(X118)
| ~ r1(X1,X118) )
& ! [X117] :
( ~ p301(X117)
| ~ p401(X117)
| ~ r1(X1,X117) )
& ! [X116] :
( ~ p301(X116)
| ~ p501(X116)
| ~ r1(X1,X116) )
& ! [X115] :
( ~ p301(X115)
| ~ p601(X115)
| ~ r1(X1,X115) )
& ! [X114] :
( ~ p401(X114)
| ~ p501(X114)
| ~ r1(X1,X114) )
& ! [X113] :
( ~ p401(X113)
| ~ p601(X113)
| ~ r1(X1,X113) )
& ! [X112] :
( ~ p501(X112)
| ~ p601(X112)
| ~ r1(X1,X112) )
& ! [X110] :
( ? [X111] :
( ~ p102(X111)
& r1(X110,X111) )
| ~ p202(X110)
| ~ r1(X1,X110) )
& ! [X108] :
( ? [X109] :
( ~ p102(X109)
& r1(X108,X109) )
| ~ p302(X108)
| ~ r1(X1,X108) )
& ! [X106] :
( ? [X107] :
( ~ p102(X107)
& r1(X106,X107) )
| ~ p402(X106)
| ~ r1(X1,X106) )
& ! [X104] :
( ? [X105] :
( ~ p102(X105)
& r1(X104,X105) )
| ~ p502(X104)
| ~ r1(X1,X104) )
& ! [X102] :
( ? [X103] :
( ~ p102(X103)
& r1(X102,X103) )
| ~ p602(X102)
| ~ r1(X1,X102) )
& ! [X101] :
( ~ p202(X101)
| ~ p302(X101)
| ~ r1(X1,X101) )
& ! [X100] :
( ~ p202(X100)
| ~ p402(X100)
| ~ r1(X1,X100) )
& ! [X99] :
( ~ p202(X99)
| ~ p502(X99)
| ~ r1(X1,X99) )
& ! [X98] :
( ~ p202(X98)
| ~ p602(X98)
| ~ r1(X1,X98) )
& ! [X97] :
( ~ p302(X97)
| ~ p402(X97)
| ~ r1(X1,X97) )
& ! [X96] :
( ~ p302(X96)
| ~ p502(X96)
| ~ r1(X1,X96) )
& ! [X95] :
( ~ p302(X95)
| ~ p602(X95)
| ~ r1(X1,X95) )
& ! [X94] :
( ~ p402(X94)
| ~ p502(X94)
| ~ r1(X1,X94) )
& ! [X93] :
( ~ p402(X93)
| ~ p602(X93)
| ~ r1(X1,X93) )
& ! [X92] :
( ~ p502(X92)
| ~ p602(X92)
| ~ r1(X1,X92) )
& ! [X89] :
( ? [X91] :
( ~ p103(X91)
& r1(X89,X91) )
| ? [X90] :
( ~ p203(X90)
& r1(X89,X90) )
| ~ r1(X1,X89) )
& ! [X87] :
( ? [X88] :
( ~ p103(X88)
& r1(X87,X88) )
| ~ p303(X87)
| ~ r1(X1,X87) )
& ! [X85] :
( ? [X86] :
( ~ p103(X86)
& r1(X85,X86) )
| ~ p403(X85)
| ~ r1(X1,X85) )
& ! [X83] :
( ? [X84] :
( ~ p103(X84)
& r1(X83,X84) )
| ~ p503(X83)
| ~ r1(X1,X83) )
& ! [X81] :
( ? [X82] :
( ~ p103(X82)
& r1(X81,X82) )
| ~ p603(X81)
| ~ r1(X1,X81) )
& ! [X79] :
( ? [X80] :
( ~ p203(X80)
& r1(X79,X80) )
| ~ p303(X79)
| ~ r1(X1,X79) )
& ! [X77] :
( ? [X78] :
( ~ p203(X78)
& r1(X77,X78) )
| ~ p403(X77)
| ~ r1(X1,X77) )
& ! [X75] :
( ? [X76] :
( ~ p203(X76)
& r1(X75,X76) )
| ~ p503(X75)
| ~ r1(X1,X75) )
& ! [X73] :
( ? [X74] :
( ~ p203(X74)
& r1(X73,X74) )
| ~ p603(X73)
| ~ r1(X1,X73) )
& ! [X72] :
( ~ p303(X72)
| ~ p403(X72)
| ~ r1(X1,X72) )
& ! [X71] :
( ~ p303(X71)
| ~ p503(X71)
| ~ r1(X1,X71) )
& ! [X70] :
( ~ p303(X70)
| ~ p603(X70)
| ~ r1(X1,X70) )
& ! [X69] :
( ~ p403(X69)
| ~ p503(X69)
| ~ r1(X1,X69) )
& ! [X68] :
( ~ p403(X68)
| ~ p603(X68)
| ~ r1(X1,X68) )
& ! [X67] :
( ~ p503(X67)
| ~ p603(X67)
| ~ r1(X1,X67) )
& ! [X64] :
( ? [X66] :
( ~ p104(X66)
& r1(X64,X66) )
| ? [X65] :
( ~ p204(X65)
& r1(X64,X65) )
| ~ r1(X1,X64) )
& ! [X61] :
( ? [X63] :
( ~ p104(X63)
& r1(X61,X63) )
| ? [X62] :
( ~ p304(X62)
& r1(X61,X62) )
| ~ r1(X1,X61) )
& ! [X59] :
( ? [X60] :
( ~ p104(X60)
& r1(X59,X60) )
| ~ p404(X59)
| ~ r1(X1,X59) )
& ! [X57] :
( ? [X58] :
( ~ p104(X58)
& r1(X57,X58) )
| ~ p504(X57)
| ~ r1(X1,X57) )
& ! [X55] :
( ? [X56] :
( ~ p104(X56)
& r1(X55,X56) )
| ~ p604(X55)
| ~ r1(X1,X55) )
& ! [X52] :
( ? [X54] :
( ~ p204(X54)
& r1(X52,X54) )
| ? [X53] :
( ~ p304(X53)
& r1(X52,X53) )
| ~ r1(X1,X52) )
& ! [X50] :
( ? [X51] :
( ~ p204(X51)
& r1(X50,X51) )
| ~ p404(X50)
| ~ r1(X1,X50) )
& ! [X48] :
( ? [X49] :
( ~ p204(X49)
& r1(X48,X49) )
| ~ p504(X48)
| ~ r1(X1,X48) )
& ! [X46] :
( ? [X47] :
( ~ p204(X47)
& r1(X46,X47) )
| ~ p604(X46)
| ~ r1(X1,X46) )
& ! [X44] :
( ? [X45] :
( ~ p304(X45)
& r1(X44,X45) )
| ~ p404(X44)
| ~ r1(X1,X44) )
& ! [X42] :
( ? [X43] :
( ~ p304(X43)
& r1(X42,X43) )
| ~ p504(X42)
| ~ r1(X1,X42) )
& ! [X40] :
( ? [X41] :
( ~ p304(X41)
& r1(X40,X41) )
| ~ p604(X40)
| ~ r1(X1,X40) )
& ! [X39] :
( ~ p404(X39)
| ~ p504(X39)
| ~ r1(X1,X39) )
& ! [X38] :
( ~ p404(X38)
| ~ p604(X38)
| ~ r1(X1,X38) )
& ! [X37] :
( ~ p504(X37)
| ~ p604(X37)
| ~ r1(X1,X37) )
& ! [X34] :
( ? [X36] :
( ~ p105(X36)
& r1(X34,X36) )
| ? [X35] :
( ~ p205(X35)
& r1(X34,X35) )
| ~ r1(X1,X34) )
& ! [X31] :
( ? [X33] :
( ~ p105(X33)
& r1(X31,X33) )
| ? [X32] :
( ~ p305(X32)
& r1(X31,X32) )
| ~ r1(X1,X31) )
& ! [X28] :
( ? [X30] :
( ~ p105(X30)
& r1(X28,X30) )
| ? [X29] :
( ~ p405(X29)
& r1(X28,X29) )
| ~ r1(X1,X28) )
& ! [X26] :
( ? [X27] :
( ~ p105(X27)
& r1(X26,X27) )
| ~ p505(X26)
| ~ r1(X1,X26) )
& ! [X24] :
( ? [X25] :
( ~ p105(X25)
& r1(X24,X25) )
| ~ p605(X24)
| ~ r1(X1,X24) )
& ! [X21] :
( ? [X23] :
( ~ p205(X23)
& r1(X21,X23) )
| ? [X22] :
( ~ p305(X22)
& r1(X21,X22) )
| ~ r1(X1,X21) )
& ! [X18] :
( ? [X20] :
( ~ p205(X20)
& r1(X18,X20) )
| ? [X19] :
( ~ p405(X19)
& r1(X18,X19) )
| ~ r1(X1,X18) )
& ! [X16] :
( ? [X17] :
( ~ p205(X17)
& r1(X16,X17) )
| ~ p505(X16)
| ~ r1(X1,X16) )
& ! [X14] :
( ? [X15] :
( ~ p205(X15)
& r1(X14,X15) )
| ~ p605(X14)
| ~ r1(X1,X14) )
& ! [X11] :
( ? [X13] :
( ~ p305(X13)
& r1(X11,X13) )
| ? [X12] :
( ~ p405(X12)
& r1(X11,X12) )
| ~ r1(X1,X11) )
& ! [X9] :
( ? [X10] :
( ~ p305(X10)
& r1(X9,X10) )
| ~ p505(X9)
| ~ r1(X1,X9) )
& ! [X7] :
( ? [X8] :
( ~ p305(X8)
& r1(X7,X8) )
| ~ p605(X7)
| ~ r1(X1,X7) )
& ! [X5] :
( ? [X6] :
( ~ p405(X6)
& r1(X5,X6) )
| ~ p505(X5)
| ~ r1(X1,X5) )
& ! [X3] :
( ? [X4] :
( ~ p405(X4)
& r1(X3,X4) )
| ~ p605(X3)
| ~ r1(X1,X3) )
& ! [X2] :
( ~ p505(X2)
| ~ p605(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f7]) ).
fof(f53,plain,
! [X1] :
( ~ sP40(X1)
| ( ! [X126] :
( ~ p101(X126)
| ~ p201(X126)
| ~ r1(X1,X126) )
& ! [X125] :
( ~ p101(X125)
| ~ p301(X125)
| ~ r1(X1,X125) )
& ! [X124] :
( ~ p101(X124)
| ~ p401(X124)
| ~ r1(X1,X124) )
& ! [X123] :
( ~ p101(X123)
| ~ p501(X123)
| ~ r1(X1,X123) )
& ! [X122] :
( ~ p101(X122)
| ~ p601(X122)
| ~ r1(X1,X122) )
& ! [X121] :
( ~ p201(X121)
| ~ p301(X121)
| ~ r1(X1,X121) )
& ! [X120] :
( ~ p201(X120)
| ~ p401(X120)
| ~ r1(X1,X120) )
& ! [X119] :
( ~ p201(X119)
| ~ p501(X119)
| ~ r1(X1,X119) )
& ! [X118] :
( ~ p201(X118)
| ~ p601(X118)
| ~ r1(X1,X118) )
& ! [X117] :
( ~ p301(X117)
| ~ p401(X117)
| ~ r1(X1,X117) )
& ! [X116] :
( ~ p301(X116)
| ~ p501(X116)
| ~ r1(X1,X116) )
& ! [X115] :
( ~ p301(X115)
| ~ p601(X115)
| ~ r1(X1,X115) )
& ! [X114] :
( ~ p401(X114)
| ~ p501(X114)
| ~ r1(X1,X114) )
& ! [X113] :
( ~ p401(X113)
| ~ p601(X113)
| ~ r1(X1,X113) )
& ! [X112] :
( ~ p501(X112)
| ~ p601(X112)
| ~ r1(X1,X112) )
& sP10(X1)
& sP11(X1)
& sP12(X1)
& sP13(X1)
& sP14(X1)
& ! [X101] :
( ~ p202(X101)
| ~ p302(X101)
| ~ r1(X1,X101) )
& ! [X100] :
( ~ p202(X100)
| ~ p402(X100)
| ~ r1(X1,X100) )
& ! [X99] :
( ~ p202(X99)
| ~ p502(X99)
| ~ r1(X1,X99) )
& ! [X98] :
( ~ p202(X98)
| ~ p602(X98)
| ~ r1(X1,X98) )
& ! [X97] :
( ~ p302(X97)
| ~ p402(X97)
| ~ r1(X1,X97) )
& ! [X96] :
( ~ p302(X96)
| ~ p502(X96)
| ~ r1(X1,X96) )
& ! [X95] :
( ~ p302(X95)
| ~ p602(X95)
| ~ r1(X1,X95) )
& ! [X94] :
( ~ p402(X94)
| ~ p502(X94)
| ~ r1(X1,X94) )
& ! [X93] :
( ~ p402(X93)
| ~ p602(X93)
| ~ r1(X1,X93) )
& ! [X92] :
( ~ p502(X92)
| ~ p602(X92)
| ~ r1(X1,X92) )
& sP0(X1)
& sP15(X1)
& sP16(X1)
& sP17(X1)
& sP18(X1)
& sP19(X1)
& sP20(X1)
& sP21(X1)
& sP22(X1)
& ! [X72] :
( ~ p303(X72)
| ~ p403(X72)
| ~ r1(X1,X72) )
& ! [X71] :
( ~ p303(X71)
| ~ p503(X71)
| ~ r1(X1,X71) )
& ! [X70] :
( ~ p303(X70)
| ~ p603(X70)
| ~ r1(X1,X70) )
& ! [X69] :
( ~ p403(X69)
| ~ p503(X69)
| ~ r1(X1,X69) )
& ! [X68] :
( ~ p403(X68)
| ~ p603(X68)
| ~ r1(X1,X68) )
& ! [X67] :
( ~ p503(X67)
| ~ p603(X67)
| ~ r1(X1,X67) )
& sP1(X1)
& sP2(X1)
& sP23(X1)
& sP24(X1)
& sP25(X1)
& sP3(X1)
& sP26(X1)
& sP27(X1)
& sP28(X1)
& sP29(X1)
& sP30(X1)
& sP31(X1)
& ! [X39] :
( ~ p404(X39)
| ~ p504(X39)
| ~ r1(X1,X39) )
& ! [X38] :
( ~ p404(X38)
| ~ p604(X38)
| ~ r1(X1,X38) )
& ! [X37] :
( ~ p504(X37)
| ~ p604(X37)
| ~ r1(X1,X37) )
& sP4(X1)
& sP5(X1)
& sP6(X1)
& sP32(X1)
& sP33(X1)
& sP7(X1)
& sP8(X1)
& sP34(X1)
& sP35(X1)
& sP9(X1)
& sP36(X1)
& sP37(X1)
& sP38(X1)
& sP39(X1)
& ! [X2] :
( ~ p505(X2)
| ~ p605(X2)
| ~ r1(X1,X2) ) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f54,plain,
! [X0] :
( ~ sP40(X0)
| ( ! [X35] :
( ~ p101(X35)
| ~ p201(X35)
| ~ r1(X0,X35) )
& ! [X34] :
( ~ p101(X34)
| ~ p301(X34)
| ~ r1(X0,X34) )
& ! [X33] :
( ~ p101(X33)
| ~ p401(X33)
| ~ r1(X0,X33) )
& ! [X32] :
( ~ p101(X32)
| ~ p501(X32)
| ~ r1(X0,X32) )
& ! [X31] :
( ~ p101(X31)
| ~ p601(X31)
| ~ r1(X0,X31) )
& ! [X30] :
( ~ p201(X30)
| ~ p301(X30)
| ~ r1(X0,X30) )
& ! [X29] :
( ~ p201(X29)
| ~ p401(X29)
| ~ r1(X0,X29) )
& ! [X28] :
( ~ p201(X28)
| ~ p501(X28)
| ~ r1(X0,X28) )
& ! [X27] :
( ~ p201(X27)
| ~ p601(X27)
| ~ r1(X0,X27) )
& ! [X26] :
( ~ p301(X26)
| ~ p401(X26)
| ~ r1(X0,X26) )
& ! [X25] :
( ~ p301(X25)
| ~ p501(X25)
| ~ r1(X0,X25) )
& ! [X24] :
( ~ p301(X24)
| ~ p601(X24)
| ~ r1(X0,X24) )
& ! [X23] :
( ~ p401(X23)
| ~ p501(X23)
| ~ r1(X0,X23) )
& ! [X22] :
( ~ p401(X22)
| ~ p601(X22)
| ~ r1(X0,X22) )
& ! [X21] :
( ~ p501(X21)
| ~ p601(X21)
| ~ r1(X0,X21) )
& sP10(X0)
& sP11(X0)
& sP12(X0)
& sP13(X0)
& sP14(X0)
& ! [X20] :
( ~ p202(X20)
| ~ p302(X20)
| ~ r1(X0,X20) )
& ! [X19] :
( ~ p202(X19)
| ~ p402(X19)
| ~ r1(X0,X19) )
& ! [X18] :
( ~ p202(X18)
| ~ p502(X18)
| ~ r1(X0,X18) )
& ! [X17] :
( ~ p202(X17)
| ~ p602(X17)
| ~ r1(X0,X17) )
& ! [X16] :
( ~ p302(X16)
| ~ p402(X16)
| ~ r1(X0,X16) )
& ! [X15] :
( ~ p302(X15)
| ~ p502(X15)
| ~ r1(X0,X15) )
& ! [X14] :
( ~ p302(X14)
| ~ p602(X14)
| ~ r1(X0,X14) )
& ! [X13] :
( ~ p402(X13)
| ~ p502(X13)
| ~ r1(X0,X13) )
& ! [X12] :
( ~ p402(X12)
| ~ p602(X12)
| ~ r1(X0,X12) )
& ! [X11] :
( ~ p502(X11)
| ~ p602(X11)
| ~ r1(X0,X11) )
& sP0(X0)
& sP15(X0)
& sP16(X0)
& sP17(X0)
& sP18(X0)
& sP19(X0)
& sP20(X0)
& sP21(X0)
& sP22(X0)
& ! [X10] :
( ~ p303(X10)
| ~ p403(X10)
| ~ r1(X0,X10) )
& ! [X9] :
( ~ p303(X9)
| ~ p503(X9)
| ~ r1(X0,X9) )
& ! [X8] :
( ~ p303(X8)
| ~ p603(X8)
| ~ r1(X0,X8) )
& ! [X7] :
( ~ p403(X7)
| ~ p503(X7)
| ~ r1(X0,X7) )
& ! [X6] :
( ~ p403(X6)
| ~ p603(X6)
| ~ r1(X0,X6) )
& ! [X5] :
( ~ p503(X5)
| ~ p603(X5)
| ~ r1(X0,X5) )
& sP1(X0)
& sP2(X0)
& sP23(X0)
& sP24(X0)
& sP25(X0)
& sP3(X0)
& sP26(X0)
& sP27(X0)
& sP28(X0)
& sP29(X0)
& sP30(X0)
& sP31(X0)
& ! [X4] :
( ~ p404(X4)
| ~ p504(X4)
| ~ r1(X0,X4) )
& ! [X3] :
( ~ p404(X3)
| ~ p604(X3)
| ~ r1(X0,X3) )
& ! [X2] :
( ~ p504(X2)
| ~ p604(X2)
| ~ r1(X0,X2) )
& sP4(X0)
& sP5(X0)
& sP6(X0)
& sP32(X0)
& sP33(X0)
& sP7(X0)
& sP8(X0)
& sP34(X0)
& sP35(X0)
& sP9(X0)
& sP36(X0)
& sP37(X0)
& sP38(X0)
& sP39(X0)
& ! [X1] :
( ~ p505(X1)
| ~ p605(X1)
| ~ r1(X0,X1) ) ) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X1] :
( ~ sP39(X1)
| ! [X3] :
( ? [X4] :
( ~ p405(X4)
& r1(X3,X4) )
| ~ p605(X3)
| ~ r1(X1,X3) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f56,plain,
! [X0] :
( ~ sP39(X0)
| ! [X1] :
( ? [X2] :
( ~ p405(X2)
& r1(X1,X2) )
| ~ p605(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ~ sP39(X0)
| ! [X1] :
( ( ~ p405(sK41(X1))
& r1(X1,sK41(X1)) )
| ~ p605(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X2,sK41(X1))],[f56]) ).
fof(f58,plain,
! [X1] :
( ~ sP38(X1)
| ! [X5] :
( ? [X6] :
( ~ p405(X6)
& r1(X5,X6) )
| ~ p505(X5)
| ~ r1(X1,X5) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f59,plain,
! [X0] :
( ~ sP38(X0)
| ! [X1] :
( ? [X2] :
( ~ p405(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ~ sP38(X0)
| ! [X1] :
( ( ~ p405(sK42(X1))
& r1(X1,sK42(X1)) )
| ~ p505(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(X2,sK42(X1))],[f59]) ).
fof(f61,plain,
! [X1] :
( ~ sP37(X1)
| ! [X7] :
( ? [X8] :
( ~ p305(X8)
& r1(X7,X8) )
| ~ p605(X7)
| ~ r1(X1,X7) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f62,plain,
! [X0] :
( ~ sP37(X0)
| ! [X1] :
( ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
| ~ p605(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ~ sP37(X0)
| ! [X1] :
( ( ~ p305(sK43(X1))
& r1(X1,sK43(X1)) )
| ~ p605(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(X2,sK43(X1))],[f62]) ).
fof(f64,plain,
! [X1] :
( ~ sP36(X1)
| ! [X9] :
( ? [X10] :
( ~ p305(X10)
& r1(X9,X10) )
| ~ p505(X9)
| ~ r1(X1,X9) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f65,plain,
! [X0] :
( ~ sP36(X0)
| ! [X1] :
( ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ~ sP36(X0)
| ! [X1] :
( ( ~ p305(sK44(X1))
& r1(X1,sK44(X1)) )
| ~ p505(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(X2,sK44(X1))],[f65]) ).
fof(f67,plain,
! [X1] :
( ~ sP35(X1)
| ! [X14] :
( ? [X15] :
( ~ p205(X15)
& r1(X14,X15) )
| ~ p605(X14)
| ~ r1(X1,X14) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f68,plain,
! [X0] :
( ~ sP35(X0)
| ! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
| ~ p605(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ~ sP35(X0)
| ! [X1] :
( ( ~ p205(sK45(X1))
& r1(X1,sK45(X1)) )
| ~ p605(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(X2,sK45(X1))],[f68]) ).
fof(f70,plain,
! [X1] :
( ~ sP34(X1)
| ! [X16] :
( ? [X17] :
( ~ p205(X17)
& r1(X16,X17) )
| ~ p505(X16)
| ~ r1(X1,X16) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f71,plain,
! [X0] :
( ~ sP34(X0)
| ! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ~ sP34(X0)
| ! [X1] :
( ( ~ p205(sK46(X1))
& r1(X1,sK46(X1)) )
| ~ p505(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(X2,sK46(X1))],[f71]) ).
fof(f73,plain,
! [X1] :
( ~ sP33(X1)
| ! [X24] :
( ? [X25] :
( ~ p105(X25)
& r1(X24,X25) )
| ~ p605(X24)
| ~ r1(X1,X24) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f74,plain,
! [X0] :
( ~ sP33(X0)
| ! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ~ p605(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ~ sP33(X0)
| ! [X1] :
( ( ~ p105(sK47(X1))
& r1(X1,sK47(X1)) )
| ~ p605(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(X2,sK47(X1))],[f74]) ).
fof(f76,plain,
! [X1] :
( ~ sP32(X1)
| ! [X26] :
( ? [X27] :
( ~ p105(X27)
& r1(X26,X27) )
| ~ p505(X26)
| ~ r1(X1,X26) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f77,plain,
! [X0] :
( ~ sP32(X0)
| ! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ~ sP32(X0)
| ! [X1] :
( ( ~ p105(sK48(X1))
& r1(X1,sK48(X1)) )
| ~ p505(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(X2,sK48(X1))],[f77]) ).
fof(f79,plain,
! [X1] :
( ~ sP31(X1)
| ! [X40] :
( ? [X41] :
( ~ p304(X41)
& r1(X40,X41) )
| ~ p604(X40)
| ~ r1(X1,X40) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f80,plain,
! [X0] :
( ~ sP31(X0)
| ! [X1] :
( ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
| ~ p604(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ~ sP31(X0)
| ! [X1] :
( ( ~ p304(sK49(X1))
& r1(X1,sK49(X1)) )
| ~ p604(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X2,sK49(X1))],[f80]) ).
fof(f82,plain,
! [X1] :
( ~ sP30(X1)
| ! [X42] :
( ? [X43] :
( ~ p304(X43)
& r1(X42,X43) )
| ~ p504(X42)
| ~ r1(X1,X42) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f83,plain,
! [X0] :
( ~ sP30(X0)
| ! [X1] :
( ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
| ~ p504(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ~ sP30(X0)
| ! [X1] :
( ( ~ p304(sK50(X1))
& r1(X1,sK50(X1)) )
| ~ p504(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(X2,sK50(X1))],[f83]) ).
fof(f85,plain,
! [X1] :
( ~ sP29(X1)
| ! [X44] :
( ? [X45] :
( ~ p304(X45)
& r1(X44,X45) )
| ~ p404(X44)
| ~ r1(X1,X44) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f86,plain,
! [X0] :
( ~ sP29(X0)
| ! [X1] :
( ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
| ~ p404(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0] :
( ~ sP29(X0)
| ! [X1] :
( ( ~ p304(sK51(X1))
& r1(X1,sK51(X1)) )
| ~ p404(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X2,sK51(X1))],[f86]) ).
fof(f88,plain,
! [X1] :
( ~ sP28(X1)
| ! [X46] :
( ? [X47] :
( ~ p204(X47)
& r1(X46,X47) )
| ~ p604(X46)
| ~ r1(X1,X46) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f89,plain,
! [X0] :
( ~ sP28(X0)
| ! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
| ~ p604(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ sP28(X0)
| ! [X1] :
( ( ~ p204(sK52(X1))
& r1(X1,sK52(X1)) )
| ~ p604(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X2,sK52(X1))],[f89]) ).
fof(f91,plain,
! [X1] :
( ~ sP27(X1)
| ! [X48] :
( ? [X49] :
( ~ p204(X49)
& r1(X48,X49) )
| ~ p504(X48)
| ~ r1(X1,X48) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f92,plain,
! [X0] :
( ~ sP27(X0)
| ! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
| ~ p504(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ~ sP27(X0)
| ! [X1] :
( ( ~ p204(sK53(X1))
& r1(X1,sK53(X1)) )
| ~ p504(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(X2,sK53(X1))],[f92]) ).
fof(f94,plain,
! [X1] :
( ~ sP26(X1)
| ! [X50] :
( ? [X51] :
( ~ p204(X51)
& r1(X50,X51) )
| ~ p404(X50)
| ~ r1(X1,X50) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f95,plain,
! [X0] :
( ~ sP26(X0)
| ! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
| ~ p404(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ~ sP26(X0)
| ! [X1] :
( ( ~ p204(sK54(X1))
& r1(X1,sK54(X1)) )
| ~ p404(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(X2,sK54(X1))],[f95]) ).
fof(f97,plain,
! [X1] :
( ~ sP25(X1)
| ! [X55] :
( ? [X56] :
( ~ p104(X56)
& r1(X55,X56) )
| ~ p604(X55)
| ~ r1(X1,X55) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f98,plain,
! [X0] :
( ~ sP25(X0)
| ! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
| ~ p604(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ~ sP25(X0)
| ! [X1] :
( ( ~ p104(sK55(X1))
& r1(X1,sK55(X1)) )
| ~ p604(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X2,sK55(X1))],[f98]) ).
fof(f100,plain,
! [X1] :
( ~ sP24(X1)
| ! [X57] :
( ? [X58] :
( ~ p104(X58)
& r1(X57,X58) )
| ~ p504(X57)
| ~ r1(X1,X57) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f101,plain,
! [X0] :
( ~ sP24(X0)
| ! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
| ~ p504(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ sP24(X0)
| ! [X1] :
( ( ~ p104(sK56(X1))
& r1(X1,sK56(X1)) )
| ~ p504(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(X2,sK56(X1))],[f101]) ).
fof(f103,plain,
! [X1] :
( ~ sP23(X1)
| ! [X59] :
( ? [X60] :
( ~ p104(X60)
& r1(X59,X60) )
| ~ p404(X59)
| ~ r1(X1,X59) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f104,plain,
! [X0] :
( ~ sP23(X0)
| ! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
| ~ p404(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ~ sP23(X0)
| ! [X1] :
( ( ~ p104(sK57(X1))
& r1(X1,sK57(X1)) )
| ~ p404(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(X2,sK57(X1))],[f104]) ).
fof(f106,plain,
! [X1] :
( ~ sP22(X1)
| ! [X73] :
( ? [X74] :
( ~ p203(X74)
& r1(X73,X74) )
| ~ p603(X73)
| ~ r1(X1,X73) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f107,plain,
! [X0] :
( ~ sP22(X0)
| ! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
| ~ p603(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ~ sP22(X0)
| ! [X1] :
( ( ~ p203(sK58(X1))
& r1(X1,sK58(X1)) )
| ~ p603(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X2,sK58(X1))],[f107]) ).
fof(f109,plain,
! [X1] :
( ~ sP21(X1)
| ! [X75] :
( ? [X76] :
( ~ p203(X76)
& r1(X75,X76) )
| ~ p503(X75)
| ~ r1(X1,X75) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f110,plain,
! [X0] :
( ~ sP21(X0)
| ! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
| ~ p503(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ~ sP21(X0)
| ! [X1] :
( ( ~ p203(sK59(X1))
& r1(X1,sK59(X1)) )
| ~ p503(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(X2,sK59(X1))],[f110]) ).
fof(f112,plain,
! [X1] :
( ~ sP20(X1)
| ! [X77] :
( ? [X78] :
( ~ p203(X78)
& r1(X77,X78) )
| ~ p403(X77)
| ~ r1(X1,X77) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f113,plain,
! [X0] :
( ~ sP20(X0)
| ! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
| ~ p403(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ~ sP20(X0)
| ! [X1] :
( ( ~ p203(sK60(X1))
& r1(X1,sK60(X1)) )
| ~ p403(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(X2,sK60(X1))],[f113]) ).
fof(f115,plain,
! [X1] :
( ~ sP19(X1)
| ! [X79] :
( ? [X80] :
( ~ p203(X80)
& r1(X79,X80) )
| ~ p303(X79)
| ~ r1(X1,X79) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f116,plain,
! [X0] :
( ~ sP19(X0)
| ! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
| ~ p303(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ~ sP19(X0)
| ! [X1] :
( ( ~ p203(sK61(X1))
& r1(X1,sK61(X1)) )
| ~ p303(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(X2,sK61(X1))],[f116]) ).
fof(f118,plain,
! [X1] :
( ~ sP18(X1)
| ! [X81] :
( ? [X82] :
( ~ p103(X82)
& r1(X81,X82) )
| ~ p603(X81)
| ~ r1(X1,X81) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f119,plain,
! [X0] :
( ~ sP18(X0)
| ! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
| ~ p603(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ sP18(X0)
| ! [X1] :
( ( ~ p103(sK62(X1))
& r1(X1,sK62(X1)) )
| ~ p603(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X2,sK62(X1))],[f119]) ).
fof(f121,plain,
! [X1] :
( ~ sP17(X1)
| ! [X83] :
( ? [X84] :
( ~ p103(X84)
& r1(X83,X84) )
| ~ p503(X83)
| ~ r1(X1,X83) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f122,plain,
! [X0] :
( ~ sP17(X0)
| ! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
| ~ p503(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ sP17(X0)
| ! [X1] :
( ( ~ p103(sK63(X1))
& r1(X1,sK63(X1)) )
| ~ p503(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X2,sK63(X1))],[f122]) ).
fof(f124,plain,
! [X1] :
( ~ sP16(X1)
| ! [X85] :
( ? [X86] :
( ~ p103(X86)
& r1(X85,X86) )
| ~ p403(X85)
| ~ r1(X1,X85) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f125,plain,
! [X0] :
( ~ sP16(X0)
| ! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
| ~ p403(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ~ sP16(X0)
| ! [X1] :
( ( ~ p103(sK64(X1))
& r1(X1,sK64(X1)) )
| ~ p403(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(X2,sK64(X1))],[f125]) ).
fof(f127,plain,
! [X1] :
( ~ sP15(X1)
| ! [X87] :
( ? [X88] :
( ~ p103(X88)
& r1(X87,X88) )
| ~ p303(X87)
| ~ r1(X1,X87) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f128,plain,
! [X0] :
( ~ sP15(X0)
| ! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
| ~ p303(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0] :
( ~ sP15(X0)
| ! [X1] :
( ( ~ p103(sK65(X1))
& r1(X1,sK65(X1)) )
| ~ p303(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(X2,sK65(X1))],[f128]) ).
fof(f130,plain,
! [X1] :
( ~ sP14(X1)
| ! [X102] :
( ? [X103] :
( ~ p102(X103)
& r1(X102,X103) )
| ~ p602(X102)
| ~ r1(X1,X102) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0] :
( ~ sP14(X0)
| ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p602(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ~ sP14(X0)
| ! [X1] :
( ( ~ p102(sK66(X1))
& r1(X1,sK66(X1)) )
| ~ p602(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(X2,sK66(X1))],[f131]) ).
fof(f133,plain,
! [X1] :
( ~ sP13(X1)
| ! [X104] :
( ? [X105] :
( ~ p102(X105)
& r1(X104,X105) )
| ~ p502(X104)
| ~ r1(X1,X104) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f134,plain,
! [X0] :
( ~ sP13(X0)
| ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p502(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f133]) ).
fof(f135,plain,
! [X0] :
( ~ sP13(X0)
| ! [X1] :
( ( ~ p102(sK67(X1))
& r1(X1,sK67(X1)) )
| ~ p502(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X2,sK67(X1))],[f134]) ).
fof(f136,plain,
! [X1] :
( ~ sP12(X1)
| ! [X106] :
( ? [X107] :
( ~ p102(X107)
& r1(X106,X107) )
| ~ p402(X106)
| ~ r1(X1,X106) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f137,plain,
! [X0] :
( ~ sP12(X0)
| ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p402(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ~ sP12(X0)
| ! [X1] :
( ( ~ p102(sK68(X1))
& r1(X1,sK68(X1)) )
| ~ p402(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(X2,sK68(X1))],[f137]) ).
fof(f139,plain,
! [X1] :
( ~ sP11(X1)
| ! [X108] :
( ? [X109] :
( ~ p102(X109)
& r1(X108,X109) )
| ~ p302(X108)
| ~ r1(X1,X108) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f140,plain,
! [X0] :
( ~ sP11(X0)
| ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p302(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ~ sP11(X0)
| ! [X1] :
( ( ~ p102(sK69(X1))
& r1(X1,sK69(X1)) )
| ~ p302(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X2,sK69(X1))],[f140]) ).
fof(f142,plain,
! [X1] :
( ~ sP10(X1)
| ! [X110] :
( ? [X111] :
( ~ p102(X111)
& r1(X110,X111) )
| ~ p202(X110)
| ~ r1(X1,X110) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f143,plain,
! [X0] :
( ~ sP10(X0)
| ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p202(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ~ sP10(X0)
| ! [X1] :
( ( ~ p102(sK70(X1))
& r1(X1,sK70(X1)) )
| ~ p202(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(X2,sK70(X1))],[f143]) ).
fof(f145,plain,
! [X1] :
( ~ sP9(X1)
| ! [X11] :
( ? [X13] :
( ~ p305(X13)
& r1(X11,X13) )
| ? [X12] :
( ~ p405(X12)
& r1(X11,X12) )
| ~ r1(X1,X11) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f146,plain,
! [X0] :
( ~ sP9(X0)
| ! [X1] :
( ? [X3] :
( ~ p305(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p405(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f145]) ).
fof(f147,plain,
! [X0] :
( ~ sP9(X0)
| ! [X1] :
( ( ~ p305(sK72(X1))
& r1(X1,sK72(X1)) )
| ( ~ p405(sK71(X1))
& r1(X1,sK71(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71,sK72]),skolemize(X2,sK71(X1)),skolemize(X3,sK72(X1))],[f146]) ).
fof(f148,plain,
! [X1] :
( ~ sP8(X1)
| ! [X18] :
( ? [X20] :
( ~ p205(X20)
& r1(X18,X20) )
| ? [X19] :
( ~ p405(X19)
& r1(X18,X19) )
| ~ r1(X1,X18) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f149,plain,
! [X0] :
( ~ sP8(X0)
| ! [X1] :
( ? [X3] :
( ~ p205(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p405(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f148]) ).
fof(f150,plain,
! [X0] :
( ~ sP8(X0)
| ! [X1] :
( ( ~ p205(sK74(X1))
& r1(X1,sK74(X1)) )
| ( ~ p405(sK73(X1))
& r1(X1,sK73(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73,sK74]),skolemize(X2,sK73(X1)),skolemize(X3,sK74(X1))],[f149]) ).
fof(f151,plain,
! [X1] :
( ~ sP7(X1)
| ! [X21] :
( ? [X23] :
( ~ p205(X23)
& r1(X21,X23) )
| ? [X22] :
( ~ p305(X22)
& r1(X21,X22) )
| ~ r1(X1,X21) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f152,plain,
! [X0] :
( ~ sP7(X0)
| ! [X1] :
( ? [X3] :
( ~ p205(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ~ sP7(X0)
| ! [X1] :
( ( ~ p205(sK76(X1))
& r1(X1,sK76(X1)) )
| ( ~ p305(sK75(X1))
& r1(X1,sK75(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75,sK76]),skolemize(X2,sK75(X1)),skolemize(X3,sK76(X1))],[f152]) ).
fof(f154,plain,
! [X1] :
( ~ sP6(X1)
| ! [X28] :
( ? [X30] :
( ~ p105(X30)
& r1(X28,X30) )
| ? [X29] :
( ~ p405(X29)
& r1(X28,X29) )
| ~ r1(X1,X28) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f155,plain,
! [X0] :
( ~ sP6(X0)
| ! [X1] :
( ? [X3] :
( ~ p105(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p405(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ~ sP6(X0)
| ! [X1] :
( ( ~ p105(sK78(X1))
& r1(X1,sK78(X1)) )
| ( ~ p405(sK77(X1))
& r1(X1,sK77(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77,sK78]),skolemize(X2,sK77(X1)),skolemize(X3,sK78(X1))],[f155]) ).
fof(f157,plain,
! [X1] :
( ~ sP5(X1)
| ! [X31] :
( ? [X33] :
( ~ p105(X33)
& r1(X31,X33) )
| ? [X32] :
( ~ p305(X32)
& r1(X31,X32) )
| ~ r1(X1,X31) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f158,plain,
! [X0] :
( ~ sP5(X0)
| ! [X1] :
( ? [X3] :
( ~ p105(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f157]) ).
fof(f159,plain,
! [X0] :
( ~ sP5(X0)
| ! [X1] :
( ( ~ p105(sK80(X1))
& r1(X1,sK80(X1)) )
| ( ~ p305(sK79(X1))
& r1(X1,sK79(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79,sK80]),skolemize(X2,sK79(X1)),skolemize(X3,sK80(X1))],[f158]) ).
fof(f160,plain,
! [X1] :
( ~ sP4(X1)
| ! [X34] :
( ? [X36] :
( ~ p105(X36)
& r1(X34,X36) )
| ? [X35] :
( ~ p205(X35)
& r1(X34,X35) )
| ~ r1(X1,X34) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f161,plain,
! [X0] :
( ~ sP4(X0)
| ! [X1] :
( ? [X3] :
( ~ p105(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f160]) ).
fof(f162,plain,
! [X0] :
( ~ sP4(X0)
| ! [X1] :
( ( ~ p105(sK82(X1))
& r1(X1,sK82(X1)) )
| ( ~ p205(sK81(X1))
& r1(X1,sK81(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81,sK82]),skolemize(X2,sK81(X1)),skolemize(X3,sK82(X1))],[f161]) ).
fof(f163,plain,
! [X1] :
( ~ sP3(X1)
| ! [X52] :
( ? [X54] :
( ~ p204(X54)
& r1(X52,X54) )
| ? [X53] :
( ~ p304(X53)
& r1(X52,X53) )
| ~ r1(X1,X52) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f164,plain,
! [X0] :
( ~ sP3(X0)
| ! [X1] :
( ? [X3] :
( ~ p204(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f163]) ).
fof(f165,plain,
! [X0] :
( ~ sP3(X0)
| ! [X1] :
( ( ~ p204(sK84(X1))
& r1(X1,sK84(X1)) )
| ( ~ p304(sK83(X1))
& r1(X1,sK83(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83,sK84]),skolemize(X2,sK83(X1)),skolemize(X3,sK84(X1))],[f164]) ).
fof(f166,plain,
! [X1] :
( ~ sP2(X1)
| ! [X61] :
( ? [X63] :
( ~ p104(X63)
& r1(X61,X63) )
| ? [X62] :
( ~ p304(X62)
& r1(X61,X62) )
| ~ r1(X1,X61) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f167,plain,
! [X0] :
( ~ sP2(X0)
| ! [X1] :
( ? [X3] :
( ~ p104(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f166]) ).
fof(f168,plain,
! [X0] :
( ~ sP2(X0)
| ! [X1] :
( ( ~ p104(sK86(X1))
& r1(X1,sK86(X1)) )
| ( ~ p304(sK85(X1))
& r1(X1,sK85(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85,sK86]),skolemize(X2,sK85(X1)),skolemize(X3,sK86(X1))],[f167]) ).
fof(f169,plain,
! [X1] :
( ~ sP1(X1)
| ! [X64] :
( ? [X66] :
( ~ p104(X66)
& r1(X64,X66) )
| ? [X65] :
( ~ p204(X65)
& r1(X64,X65) )
| ~ r1(X1,X64) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f170,plain,
! [X0] :
( ~ sP1(X0)
| ! [X1] :
( ? [X3] :
( ~ p104(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f169]) ).
fof(f171,plain,
! [X0] :
( ~ sP1(X0)
| ! [X1] :
( ( ~ p104(sK88(X1))
& r1(X1,sK88(X1)) )
| ( ~ p204(sK87(X1))
& r1(X1,sK87(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88]),skolemize(X2,sK87(X1)),skolemize(X3,sK88(X1))],[f170]) ).
fof(f175,plain,
? [X0] :
( ( p101(X0)
| ! [X11] :
( p102(X11)
| ~ r1(X0,X11) )
| ! [X10] :
( p103(X10)
| ~ r1(X0,X10) )
| ! [X9] :
( p104(X9)
| ~ r1(X0,X9) )
| ! [X8] :
( p105(X8)
| ~ r1(X0,X8) ) )
& ( p201(X0)
| p202(X0)
| ! [X7] :
( p203(X7)
| ~ r1(X0,X7) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X5] :
( p205(X5)
| ~ r1(X0,X5) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X4] :
( p304(X4)
| ~ r1(X0,X4) )
| ! [X3] :
( p305(X3)
| ~ r1(X0,X3) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X2] :
( p405(X2)
| ~ r1(X0,X2) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X1] :
( sP40(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f176,plain,
( ( p101(sK91)
| ! [X11] :
( p102(X11)
| ~ r1(sK91,X11) )
| ! [X10] :
( p103(X10)
| ~ r1(sK91,X10) )
| ! [X9] :
( p104(X9)
| ~ r1(sK91,X9) )
| ! [X8] :
( p105(X8)
| ~ r1(sK91,X8) ) )
& ( p201(sK91)
| p202(sK91)
| ! [X7] :
( p203(X7)
| ~ r1(sK91,X7) )
| ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) )
| ! [X5] :
( p205(X5)
| ~ r1(sK91,X5) ) )
& ( p301(sK91)
| p302(sK91)
| p303(sK91)
| ! [X4] :
( p304(X4)
| ~ r1(sK91,X4) )
| ! [X3] :
( p305(X3)
| ~ r1(sK91,X3) ) )
& ( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| ! [X2] :
( p405(X2)
| ~ r1(sK91,X2) ) )
& ( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) )
& ( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) )
& ! [X1] :
( sP40(X1)
| ~ r1(sK91,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91]),skolemize(X0,sK91)],[f175]) ).
fof(f177,plain,
! [X0,X35] :
( ~ sP40(X0)
| ~ p101(X35)
| ~ p201(X35)
| ~ r1(X0,X35) ),
inference(cnf_transformation,[],[f54]) ).
fof(f178,plain,
! [X0,X34] :
( ~ sP40(X0)
| ~ p101(X34)
| ~ p301(X34)
| ~ r1(X0,X34) ),
inference(cnf_transformation,[],[f54]) ).
fof(f179,plain,
! [X0,X33] :
( ~ sP40(X0)
| ~ p101(X33)
| ~ p401(X33)
| ~ r1(X0,X33) ),
inference(cnf_transformation,[],[f54]) ).
fof(f180,plain,
! [X0,X32] :
( ~ sP40(X0)
| ~ p101(X32)
| ~ p501(X32)
| ~ r1(X0,X32) ),
inference(cnf_transformation,[],[f54]) ).
fof(f181,plain,
! [X31,X0] :
( ~ sP40(X0)
| ~ p101(X31)
| ~ p601(X31)
| ~ r1(X0,X31) ),
inference(cnf_transformation,[],[f54]) ).
fof(f182,plain,
! [X0,X30] :
( ~ sP40(X0)
| ~ p201(X30)
| ~ p301(X30)
| ~ r1(X0,X30) ),
inference(cnf_transformation,[],[f54]) ).
fof(f183,plain,
! [X0,X29] :
( ~ sP40(X0)
| ~ p201(X29)
| ~ p401(X29)
| ~ r1(X0,X29) ),
inference(cnf_transformation,[],[f54]) ).
fof(f184,plain,
! [X28,X0] :
( ~ sP40(X0)
| ~ p201(X28)
| ~ p501(X28)
| ~ r1(X0,X28) ),
inference(cnf_transformation,[],[f54]) ).
fof(f185,plain,
! [X0,X27] :
( ~ sP40(X0)
| ~ p201(X27)
| ~ p601(X27)
| ~ r1(X0,X27) ),
inference(cnf_transformation,[],[f54]) ).
fof(f186,plain,
! [X0,X26] :
( ~ sP40(X0)
| ~ p301(X26)
| ~ p401(X26)
| ~ r1(X0,X26) ),
inference(cnf_transformation,[],[f54]) ).
fof(f187,plain,
! [X0,X25] :
( ~ sP40(X0)
| ~ p301(X25)
| ~ p501(X25)
| ~ r1(X0,X25) ),
inference(cnf_transformation,[],[f54]) ).
fof(f188,plain,
! [X0,X24] :
( ~ sP40(X0)
| ~ p301(X24)
| ~ p601(X24)
| ~ r1(X0,X24) ),
inference(cnf_transformation,[],[f54]) ).
fof(f189,plain,
! [X0,X23] :
( ~ sP40(X0)
| ~ p401(X23)
| ~ p501(X23)
| ~ r1(X0,X23) ),
inference(cnf_transformation,[],[f54]) ).
fof(f190,plain,
! [X0,X22] :
( ~ sP40(X0)
| ~ p401(X22)
| ~ p601(X22)
| ~ r1(X0,X22) ),
inference(cnf_transformation,[],[f54]) ).
fof(f191,plain,
! [X21,X0] :
( ~ sP40(X0)
| ~ p501(X21)
| ~ p601(X21)
| ~ r1(X0,X21) ),
inference(cnf_transformation,[],[f54]) ).
fof(f192,plain,
! [X0] :
( ~ sP40(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f193,plain,
! [X0] :
( ~ sP40(X0)
| sP11(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f194,plain,
! [X0] :
( ~ sP40(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f195,plain,
! [X0] :
( ~ sP40(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f196,plain,
! [X0] :
( ~ sP40(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f197,plain,
! [X0,X20] :
( ~ sP40(X0)
| ~ p202(X20)
| ~ p302(X20)
| ~ r1(X0,X20) ),
inference(cnf_transformation,[],[f54]) ).
fof(f198,plain,
! [X0,X19] :
( ~ sP40(X0)
| ~ p202(X19)
| ~ p402(X19)
| ~ r1(X0,X19) ),
inference(cnf_transformation,[],[f54]) ).
fof(f199,plain,
! [X0,X18] :
( ~ sP40(X0)
| ~ p202(X18)
| ~ p502(X18)
| ~ r1(X0,X18) ),
inference(cnf_transformation,[],[f54]) ).
fof(f200,plain,
! [X0,X17] :
( ~ sP40(X0)
| ~ p202(X17)
| ~ p602(X17)
| ~ r1(X0,X17) ),
inference(cnf_transformation,[],[f54]) ).
fof(f201,plain,
! [X0,X16] :
( ~ sP40(X0)
| ~ p302(X16)
| ~ p402(X16)
| ~ r1(X0,X16) ),
inference(cnf_transformation,[],[f54]) ).
fof(f202,plain,
! [X0,X15] :
( ~ sP40(X0)
| ~ p302(X15)
| ~ p502(X15)
| ~ r1(X0,X15) ),
inference(cnf_transformation,[],[f54]) ).
fof(f203,plain,
! [X0,X14] :
( ~ sP40(X0)
| ~ p302(X14)
| ~ p602(X14)
| ~ r1(X0,X14) ),
inference(cnf_transformation,[],[f54]) ).
fof(f204,plain,
! [X0,X13] :
( ~ sP40(X0)
| ~ p402(X13)
| ~ p502(X13)
| ~ r1(X0,X13) ),
inference(cnf_transformation,[],[f54]) ).
fof(f205,plain,
! [X0,X12] :
( ~ sP40(X0)
| ~ p402(X12)
| ~ p602(X12)
| ~ r1(X0,X12) ),
inference(cnf_transformation,[],[f54]) ).
fof(f206,plain,
! [X0,X11] :
( ~ sP40(X0)
| ~ p502(X11)
| ~ p602(X11)
| ~ r1(X0,X11) ),
inference(cnf_transformation,[],[f54]) ).
fof(f207,plain,
! [X0] :
( ~ sP40(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f208,plain,
! [X0] :
( ~ sP40(X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f209,plain,
! [X0] :
( ~ sP40(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f210,plain,
! [X0] :
( ~ sP40(X0)
| sP17(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f211,plain,
! [X0] :
( ~ sP40(X0)
| sP18(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f212,plain,
! [X0] :
( ~ sP40(X0)
| sP19(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f213,plain,
! [X0] :
( ~ sP40(X0)
| sP20(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f214,plain,
! [X0] :
( ~ sP40(X0)
| sP21(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f215,plain,
! [X0] :
( ~ sP40(X0)
| sP22(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f216,plain,
! [X10,X0] :
( ~ sP40(X0)
| ~ p303(X10)
| ~ p403(X10)
| ~ r1(X0,X10) ),
inference(cnf_transformation,[],[f54]) ).
fof(f217,plain,
! [X0,X9] :
( ~ sP40(X0)
| ~ p303(X9)
| ~ p503(X9)
| ~ r1(X0,X9) ),
inference(cnf_transformation,[],[f54]) ).
fof(f218,plain,
! [X0,X8] :
( ~ sP40(X0)
| ~ p303(X8)
| ~ p603(X8)
| ~ r1(X0,X8) ),
inference(cnf_transformation,[],[f54]) ).
fof(f219,plain,
! [X0,X7] :
( ~ sP40(X0)
| ~ p403(X7)
| ~ p503(X7)
| ~ r1(X0,X7) ),
inference(cnf_transformation,[],[f54]) ).
fof(f220,plain,
! [X0,X6] :
( ~ sP40(X0)
| ~ p403(X6)
| ~ p603(X6)
| ~ r1(X0,X6) ),
inference(cnf_transformation,[],[f54]) ).
fof(f221,plain,
! [X0,X5] :
( ~ sP40(X0)
| ~ p503(X5)
| ~ p603(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f54]) ).
fof(f222,plain,
! [X0] :
( ~ sP40(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f223,plain,
! [X0] :
( ~ sP40(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f224,plain,
! [X0] :
( ~ sP40(X0)
| sP23(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f225,plain,
! [X0] :
( ~ sP40(X0)
| sP24(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f226,plain,
! [X0] :
( ~ sP40(X0)
| sP25(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f227,plain,
! [X0] :
( ~ sP40(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f228,plain,
! [X0] :
( ~ sP40(X0)
| sP26(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f229,plain,
! [X0] :
( ~ sP40(X0)
| sP27(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f230,plain,
! [X0] :
( ~ sP40(X0)
| sP28(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f231,plain,
! [X0] :
( ~ sP40(X0)
| sP29(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f232,plain,
! [X0] :
( ~ sP40(X0)
| sP30(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f233,plain,
! [X0] :
( ~ sP40(X0)
| sP31(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f234,plain,
! [X0,X4] :
( ~ sP40(X0)
| ~ p404(X4)
| ~ p504(X4)
| ~ r1(X0,X4) ),
inference(cnf_transformation,[],[f54]) ).
fof(f235,plain,
! [X3,X0] :
( ~ sP40(X0)
| ~ p404(X3)
| ~ p604(X3)
| ~ r1(X0,X3) ),
inference(cnf_transformation,[],[f54]) ).
fof(f236,plain,
! [X2,X0] :
( ~ sP40(X0)
| ~ p504(X2)
| ~ p604(X2)
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f237,plain,
! [X0] :
( ~ sP40(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f238,plain,
! [X0] :
( ~ sP40(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f239,plain,
! [X0] :
( ~ sP40(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f240,plain,
! [X0] :
( ~ sP40(X0)
| sP32(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f241,plain,
! [X0] :
( ~ sP40(X0)
| sP33(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f242,plain,
! [X0] :
( ~ sP40(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f243,plain,
! [X0] :
( ~ sP40(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f244,plain,
! [X0] :
( ~ sP40(X0)
| sP34(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f245,plain,
! [X0] :
( ~ sP40(X0)
| sP35(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f246,plain,
! [X0] :
( ~ sP40(X0)
| sP9(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f247,plain,
! [X0] :
( ~ sP40(X0)
| sP36(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f248,plain,
! [X0] :
( ~ sP40(X0)
| sP37(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f249,plain,
! [X0] :
( ~ sP40(X0)
| sP38(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f250,plain,
! [X0] :
( ~ sP40(X0)
| sP39(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f251,plain,
! [X0,X1] :
( ~ sP40(X0)
| ~ p505(X1)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f252,plain,
! [X0,X1] :
( ~ sP39(X0)
| ~ p405(sK41(X1))
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f253,plain,
! [X0,X1] :
( ~ sP39(X0)
| r1(X1,sK41(X1))
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f254,plain,
! [X0,X1] :
( ~ sP38(X0)
| ~ p405(sK42(X1))
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f255,plain,
! [X0,X1] :
( ~ sP38(X0)
| r1(X1,sK42(X1))
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f256,plain,
! [X0,X1] :
( ~ sP37(X0)
| ~ p305(sK43(X1))
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f257,plain,
! [X0,X1] :
( ~ sP37(X0)
| r1(X1,sK43(X1))
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f258,plain,
! [X0,X1] :
( ~ sP36(X0)
| ~ p305(sK44(X1))
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f259,plain,
! [X0,X1] :
( ~ sP36(X0)
| r1(X1,sK44(X1))
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f260,plain,
! [X0,X1] :
( ~ sP35(X0)
| ~ p205(sK45(X1))
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f261,plain,
! [X0,X1] :
( ~ sP35(X0)
| r1(X1,sK45(X1))
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f262,plain,
! [X0,X1] :
( ~ sP34(X0)
| ~ p205(sK46(X1))
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f263,plain,
! [X0,X1] :
( ~ sP34(X0)
| r1(X1,sK46(X1))
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f264,plain,
! [X0,X1] :
( ~ sP33(X0)
| ~ p105(sK47(X1))
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f265,plain,
! [X0,X1] :
( ~ sP33(X0)
| r1(X1,sK47(X1))
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f266,plain,
! [X0,X1] :
( ~ sP32(X0)
| ~ p105(sK48(X1))
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f267,plain,
! [X0,X1] :
( ~ sP32(X0)
| r1(X1,sK48(X1))
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f268,plain,
! [X0,X1] :
( ~ sP31(X0)
| ~ p304(sK49(X1))
| ~ p604(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f269,plain,
! [X0,X1] :
( ~ sP31(X0)
| r1(X1,sK49(X1))
| ~ p604(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f270,plain,
! [X0,X1] :
( ~ sP30(X0)
| ~ p304(sK50(X1))
| ~ p504(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f271,plain,
! [X0,X1] :
( ~ sP30(X0)
| r1(X1,sK50(X1))
| ~ p504(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f272,plain,
! [X0,X1] :
( ~ sP29(X0)
| ~ p304(sK51(X1))
| ~ p404(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f273,plain,
! [X0,X1] :
( ~ sP29(X0)
| r1(X1,sK51(X1))
| ~ p404(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f274,plain,
! [X0,X1] :
( ~ sP28(X0)
| ~ p204(sK52(X1))
| ~ p604(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f275,plain,
! [X0,X1] :
( ~ sP28(X0)
| r1(X1,sK52(X1))
| ~ p604(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f276,plain,
! [X0,X1] :
( ~ sP27(X0)
| ~ p204(sK53(X1))
| ~ p504(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f277,plain,
! [X0,X1] :
( ~ sP27(X0)
| r1(X1,sK53(X1))
| ~ p504(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f278,plain,
! [X0,X1] :
( ~ sP26(X0)
| ~ p204(sK54(X1))
| ~ p404(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f279,plain,
! [X0,X1] :
( ~ sP26(X0)
| r1(X1,sK54(X1))
| ~ p404(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f280,plain,
! [X0,X1] :
( ~ sP25(X0)
| ~ p104(sK55(X1))
| ~ p604(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f281,plain,
! [X0,X1] :
( ~ sP25(X0)
| r1(X1,sK55(X1))
| ~ p604(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f282,plain,
! [X0,X1] :
( ~ sP24(X0)
| ~ p104(sK56(X1))
| ~ p504(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f283,plain,
! [X0,X1] :
( ~ sP24(X0)
| r1(X1,sK56(X1))
| ~ p504(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f284,plain,
! [X0,X1] :
( ~ sP23(X0)
| ~ p104(sK57(X1))
| ~ p404(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f285,plain,
! [X0,X1] :
( ~ sP23(X0)
| r1(X1,sK57(X1))
| ~ p404(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f286,plain,
! [X0,X1] :
( ~ sP22(X0)
| ~ p203(sK58(X1))
| ~ p603(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f287,plain,
! [X0,X1] :
( ~ sP22(X0)
| r1(X1,sK58(X1))
| ~ p603(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f288,plain,
! [X0,X1] :
( ~ sP21(X0)
| ~ p203(sK59(X1))
| ~ p503(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f289,plain,
! [X0,X1] :
( ~ sP21(X0)
| r1(X1,sK59(X1))
| ~ p503(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f290,plain,
! [X0,X1] :
( ~ sP20(X0)
| ~ p203(sK60(X1))
| ~ p403(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f291,plain,
! [X0,X1] :
( ~ sP20(X0)
| r1(X1,sK60(X1))
| ~ p403(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f292,plain,
! [X0,X1] :
( ~ sP19(X0)
| ~ p203(sK61(X1))
| ~ p303(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f293,plain,
! [X0,X1] :
( ~ sP19(X0)
| r1(X1,sK61(X1))
| ~ p303(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f294,plain,
! [X0,X1] :
( ~ sP18(X0)
| ~ p103(sK62(X1))
| ~ p603(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f295,plain,
! [X0,X1] :
( ~ sP18(X0)
| r1(X1,sK62(X1))
| ~ p603(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f296,plain,
! [X0,X1] :
( ~ sP17(X0)
| ~ p103(sK63(X1))
| ~ p503(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f297,plain,
! [X0,X1] :
( ~ sP17(X0)
| r1(X1,sK63(X1))
| ~ p503(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f298,plain,
! [X0,X1] :
( ~ sP16(X0)
| ~ p103(sK64(X1))
| ~ p403(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f299,plain,
! [X0,X1] :
( ~ sP16(X0)
| r1(X1,sK64(X1))
| ~ p403(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f300,plain,
! [X0,X1] :
( ~ sP15(X0)
| ~ p103(sK65(X1))
| ~ p303(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f301,plain,
! [X0,X1] :
( ~ sP15(X0)
| r1(X1,sK65(X1))
| ~ p303(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f302,plain,
! [X0,X1] :
( ~ sP14(X0)
| ~ p102(sK66(X1))
| ~ p602(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f303,plain,
! [X0,X1] :
( ~ sP14(X0)
| r1(X1,sK66(X1))
| ~ p602(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f304,plain,
! [X0,X1] :
( ~ sP13(X0)
| ~ p102(sK67(X1))
| ~ p502(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f305,plain,
! [X0,X1] :
( ~ sP13(X0)
| r1(X1,sK67(X1))
| ~ p502(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f306,plain,
! [X0,X1] :
( ~ sP12(X0)
| ~ p102(sK68(X1))
| ~ p402(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f307,plain,
! [X0,X1] :
( ~ sP12(X0)
| r1(X1,sK68(X1))
| ~ p402(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f308,plain,
! [X0,X1] :
( ~ sP11(X0)
| ~ p102(sK69(X1))
| ~ p302(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f309,plain,
! [X0,X1] :
( ~ sP11(X0)
| r1(X1,sK69(X1))
| ~ p302(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f310,plain,
! [X0,X1] :
( ~ sP10(X0)
| ~ p102(sK70(X1))
| ~ p202(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f311,plain,
! [X0,X1] :
( ~ sP10(X0)
| r1(X1,sK70(X1))
| ~ p202(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f312,plain,
! [X0,X1] :
( ~ sP9(X0)
| ~ p305(sK72(X1))
| ~ p405(sK71(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f313,plain,
! [X0,X1] :
( ~ sP9(X0)
| r1(X1,sK72(X1))
| ~ p405(sK71(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f314,plain,
! [X0,X1] :
( ~ sP9(X0)
| ~ p305(sK72(X1))
| r1(X1,sK71(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f315,plain,
! [X0,X1] :
( ~ sP9(X0)
| r1(X1,sK72(X1))
| r1(X1,sK71(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f316,plain,
! [X0,X1] :
( ~ sP8(X0)
| ~ p205(sK74(X1))
| ~ p405(sK73(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f317,plain,
! [X0,X1] :
( ~ sP8(X0)
| r1(X1,sK74(X1))
| ~ p405(sK73(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f318,plain,
! [X0,X1] :
( ~ sP8(X0)
| ~ p205(sK74(X1))
| r1(X1,sK73(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f319,plain,
! [X0,X1] :
( ~ sP8(X0)
| r1(X1,sK74(X1))
| r1(X1,sK73(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f320,plain,
! [X0,X1] :
( ~ sP7(X0)
| ~ p205(sK76(X1))
| ~ p305(sK75(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f321,plain,
! [X0,X1] :
( ~ sP7(X0)
| r1(X1,sK76(X1))
| ~ p305(sK75(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f322,plain,
! [X0,X1] :
( ~ sP7(X0)
| ~ p205(sK76(X1))
| r1(X1,sK75(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f323,plain,
! [X0,X1] :
( ~ sP7(X0)
| r1(X1,sK76(X1))
| r1(X1,sK75(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f324,plain,
! [X0,X1] :
( ~ sP6(X0)
| ~ p105(sK78(X1))
| ~ p405(sK77(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f325,plain,
! [X0,X1] :
( ~ sP6(X0)
| r1(X1,sK78(X1))
| ~ p405(sK77(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f326,plain,
! [X0,X1] :
( ~ sP6(X0)
| ~ p105(sK78(X1))
| r1(X1,sK77(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X0,X1] :
( ~ sP6(X0)
| r1(X1,sK78(X1))
| r1(X1,sK77(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f328,plain,
! [X0,X1] :
( ~ sP5(X0)
| ~ p105(sK80(X1))
| ~ p305(sK79(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f329,plain,
! [X0,X1] :
( ~ sP5(X0)
| r1(X1,sK80(X1))
| ~ p305(sK79(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f330,plain,
! [X0,X1] :
( ~ sP5(X0)
| ~ p105(sK80(X1))
| r1(X1,sK79(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f331,plain,
! [X0,X1] :
( ~ sP5(X0)
| r1(X1,sK80(X1))
| r1(X1,sK79(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f332,plain,
! [X0,X1] :
( ~ sP4(X0)
| ~ p105(sK82(X1))
| ~ p205(sK81(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f333,plain,
! [X0,X1] :
( ~ sP4(X0)
| r1(X1,sK82(X1))
| ~ p205(sK81(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f334,plain,
! [X0,X1] :
( ~ sP4(X0)
| ~ p105(sK82(X1))
| r1(X1,sK81(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f335,plain,
! [X0,X1] :
( ~ sP4(X0)
| r1(X1,sK82(X1))
| r1(X1,sK81(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f336,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ p204(sK84(X1))
| ~ p304(sK83(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f337,plain,
! [X0,X1] :
( ~ sP3(X0)
| r1(X1,sK84(X1))
| ~ p304(sK83(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f338,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ p204(sK84(X1))
| r1(X1,sK83(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f339,plain,
! [X0,X1] :
( ~ sP3(X0)
| r1(X1,sK84(X1))
| r1(X1,sK83(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f340,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p104(sK86(X1))
| ~ p304(sK85(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f341,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X1,sK86(X1))
| ~ p304(sK85(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f342,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p104(sK86(X1))
| r1(X1,sK85(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f343,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X1,sK86(X1))
| r1(X1,sK85(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f344,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ p104(sK88(X1))
| ~ p204(sK87(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f345,plain,
! [X0,X1] :
( ~ sP1(X0)
| r1(X1,sK88(X1))
| ~ p204(sK87(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f346,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ p104(sK88(X1))
| r1(X1,sK87(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f347,plain,
! [X0,X1] :
( ~ sP1(X0)
| r1(X1,sK88(X1))
| r1(X1,sK87(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f352,plain,
! [X10,X11,X8,X9] :
( p101(sK91)
| p102(X11)
| ~ r1(sK91,X11)
| p103(X10)
| ~ r1(sK91,X10)
| p104(X9)
| ~ r1(sK91,X9)
| p105(X8)
| ~ r1(sK91,X8) ),
inference(cnf_transformation,[],[f176]) ).
fof(f353,plain,
! [X6,X7,X5] :
( p201(sK91)
| p202(sK91)
| p203(X7)
| ~ r1(sK91,X7)
| p204(X6)
| ~ r1(sK91,X6)
| p205(X5)
| ~ r1(sK91,X5) ),
inference(cnf_transformation,[],[f176]) ).
fof(f354,plain,
! [X3,X4] :
( p301(sK91)
| p302(sK91)
| p303(sK91)
| p304(X4)
| ~ r1(sK91,X4)
| p305(X3)
| ~ r1(sK91,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f355,plain,
! [X2] :
( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X2)
| ~ r1(sK91,X2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f356,plain,
( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) ),
inference(cnf_transformation,[],[f176]) ).
fof(f357,plain,
( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) ),
inference(cnf_transformation,[],[f176]) ).
fof(f358,plain,
! [X1] :
( sP40(X1)
| ~ r1(sK91,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f360,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p505(X1)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_50,plain,
! [X0: $i] :
( sP39(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_51,plain,
! [X0: $i] :
( sP38(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_52,plain,
! [X0: $i] :
( sP37(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_53,plain,
! [X0: $i] :
( sP36(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_54,plain,
! [X0: $i] :
( sP9(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_55,plain,
! [X0: $i] :
( sP35(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_56,plain,
! [X0: $i] :
( sP34(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_57,plain,
! [X0: $i] :
( sP8(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_58,plain,
! [X0: $i] :
( sP7(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_59,plain,
! [X0: $i] :
( sP33(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_60,plain,
! [X0: $i] :
( sP32(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_61,plain,
! [X0: $i] :
( sP6(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_62,plain,
! [X0: $i] :
( sP5(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_63,plain,
! [X0: $i] :
( sP4(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ~ p504(X1)
| ~ p604(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ p604(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ p504(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_67,plain,
! [X0: $i] :
( sP31(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_68,plain,
! [X0: $i] :
( sP30(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_69,plain,
! [X0: $i] :
( sP29(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_70,plain,
! [X0: $i] :
( sP28(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_71,plain,
! [X0: $i] :
( sP27(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_72,plain,
! [X0: $i] :
( sP26(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_73,plain,
! [X0: $i] :
( sP3(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_74,plain,
! [X0: $i] :
( sP25(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_75,plain,
! [X0: $i] :
( sP24(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_76,plain,
! [X0: $i] :
( sP23(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_77,plain,
! [X0: $i] :
( sP2(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_78,plain,
! [X0: $i] :
( sP1(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ~ p503(X1)
| ~ p603(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( ~ p403(X1)
| ~ p603(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( ~ p403(X1)
| ~ p503(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ p603(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ p503(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ p403(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_85,plain,
! [X0: $i] :
( sP22(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_86,plain,
! [X0: $i] :
( sP21(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_87,plain,
! [X0: $i] :
( sP20(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_88,plain,
! [X0: $i] :
( sP19(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_89,plain,
! [X0: $i] :
( sP18(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_90,plain,
! [X0: $i] :
( sP17(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_91,plain,
! [X0: $i] :
( sP16(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_92,plain,
! [X0: $i] :
( sP15(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_93,plain,
! [X0: $i] :
( sP0(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ~ p502(X1)
| ~ p602(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( ~ p402(X1)
| ~ p602(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( ~ p402(X1)
| ~ p502(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( ~ p302(X1)
| ~ p602(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ~ p302(X1)
| ~ p502(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ~ p302(X1)
| ~ p402(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ~ p202(X1)
| ~ p602(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( ~ p202(X1)
| ~ p502(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( ~ p202(X1)
| ~ p402(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( ~ p202(X1)
| ~ p302(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_104,plain,
! [X0: $i] :
( sP14(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_105,plain,
! [X0: $i] :
( sP13(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_106,plain,
! [X0: $i] :
( sP12(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_107,plain,
! [X0: $i] :
( sP11(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_108,plain,
! [X0: $i] :
( sP10(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ~ p501(X1)
| ~ p601(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( ~ p401(X1)
| ~ p601(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( ~ p401(X1)
| ~ p501(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( ~ p301(X1)
| ~ p601(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( ~ p301(X1)
| ~ p501(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( ~ p301(X1)
| ~ p401(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] :
( ~ p201(X1)
| ~ p601(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( ~ p201(X1)
| ~ p501(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( ~ p201(X1)
| ~ p401(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( ~ p201(X1)
| ~ p301(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( ~ p101(X1)
| ~ p601(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( ~ p101(X1)
| ~ p501(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( ~ p101(X1)
| ~ p401(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( ~ p101(X1)
| ~ p301(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( ~ p101(X1)
| ~ p201(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK41(X1))
| ~ sP39(X0)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( ~ sP39(X0)
| ~ p605(X1)
| ~ p405(sK41(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK42(X1))
| ~ sP38(X0)
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( ~ sP38(X0)
| ~ p505(X1)
| ~ p405(sK42(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK43(X1))
| ~ sP37(X0)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( ~ sP37(X0)
| ~ p605(X1)
| ~ p305(sK43(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK44(X1))
| ~ sP36(X0)
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( ~ sP36(X0)
| ~ p505(X1)
| ~ p305(sK44(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK45(X1))
| ~ sP35(X0)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( ~ sP35(X0)
| ~ p605(X1)
| ~ p205(sK45(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK46(X1))
| ~ sP34(X0)
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( ~ sP34(X0)
| ~ p505(X1)
| ~ p205(sK46(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK47(X1))
| ~ sP33(X0)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( ~ sP33(X0)
| ~ p605(X1)
| ~ p105(sK47(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK48(X1))
| ~ sP32(X0)
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i] :
( ~ sP32(X0)
| ~ p505(X1)
| ~ p105(sK48(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK49(X1))
| ~ sP31(X0)
| ~ p604(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] :
( ~ sP31(X0)
| ~ p604(X1)
| ~ p304(sK49(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK50(X1))
| ~ sP30(X0)
| ~ p504(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( ~ sP30(X0)
| ~ p504(X1)
| ~ p304(sK50(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK51(X1))
| ~ sP29(X0)
| ~ p404(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( ~ sP29(X0)
| ~ p404(X1)
| ~ p304(sK51(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK52(X1))
| ~ sP28(X0)
| ~ p604(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( ~ sP28(X0)
| ~ p604(X1)
| ~ p204(sK52(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK53(X1))
| ~ sP27(X0)
| ~ p504(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( ~ sP27(X0)
| ~ p504(X1)
| ~ p204(sK53(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK54(X1))
| ~ sP26(X0)
| ~ p404(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( ~ sP26(X0)
| ~ p404(X1)
| ~ p204(sK54(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK55(X1))
| ~ sP25(X0)
| ~ p604(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ~ sP25(X0)
| ~ p604(X1)
| ~ p104(sK55(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK56(X1))
| ~ sP24(X0)
| ~ p504(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( ~ sP24(X0)
| ~ p504(X1)
| ~ p104(sK56(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK57(X1))
| ~ sP23(X0)
| ~ p404(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i] :
( ~ sP23(X0)
| ~ p404(X1)
| ~ p104(sK57(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK58(X1))
| ~ sP22(X0)
| ~ p603(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( ~ sP22(X0)
| ~ p603(X1)
| ~ p203(sK58(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK59(X1))
| ~ sP21(X0)
| ~ p503(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( ~ sP21(X0)
| ~ p503(X1)
| ~ p203(sK59(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK60(X1))
| ~ sP20(X0)
| ~ p403(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( ~ sP20(X0)
| ~ p403(X1)
| ~ p203(sK60(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK61(X1))
| ~ sP19(X0)
| ~ p303(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( ~ sP19(X0)
| ~ p303(X1)
| ~ p203(sK61(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK62(X1))
| ~ sP18(X0)
| ~ p603(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i] :
( ~ sP18(X0)
| ~ p603(X1)
| ~ p103(sK62(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK63(X1))
| ~ sP17(X0)
| ~ p503(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] :
( ~ sP17(X0)
| ~ p503(X1)
| ~ p103(sK63(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK64(X1))
| ~ sP16(X0)
| ~ p403(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] :
( ~ sP16(X0)
| ~ p403(X1)
| ~ p103(sK64(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK65(X1))
| ~ sP15(X0)
| ~ p303(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i] :
( ~ sP15(X0)
| ~ p303(X1)
| ~ p103(sK65(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK66(X1))
| ~ sP14(X0)
| ~ p602(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i] :
( ~ sP14(X0)
| ~ p602(X1)
| ~ p102(sK66(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK67(X1))
| ~ sP13(X0)
| ~ p502(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i] :
( ~ sP13(X0)
| ~ p502(X1)
| ~ p102(sK67(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK68(X1))
| ~ sP12(X0)
| ~ p402(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i] :
( ~ sP12(X0)
| ~ p402(X1)
| ~ p102(sK68(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK69(X1))
| ~ sP11(X0)
| ~ p302(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( ~ sP11(X0)
| ~ p302(X1)
| ~ p102(sK69(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK70(X1))
| ~ sP10(X0)
| ~ p202(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] :
( ~ sP10(X0)
| ~ p202(X1)
| ~ p102(sK70(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK72(X1))
| r1(X1,sK71(X1))
| ~ sP9(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK71(X1))
| ~ sP9(X0)
| ~ p305(sK72(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK72(X1))
| ~ sP9(X0)
| ~ p405(sK71(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] :
( ~ sP9(X0)
| ~ p305(sK72(X1))
| ~ p405(sK71(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK74(X1))
| r1(X1,sK73(X1))
| ~ sP8(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK73(X1))
| ~ sP8(X0)
| ~ p205(sK74(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK74(X1))
| ~ sP8(X0)
| ~ p405(sK73(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( ~ sP8(X0)
| ~ p205(sK74(X1))
| ~ p405(sK73(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK76(X1))
| r1(X1,sK75(X1))
| ~ sP7(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK75(X1))
| ~ sP7(X0)
| ~ p205(sK76(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK76(X1))
| ~ sP7(X0)
| ~ p305(sK75(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i] :
( ~ sP7(X0)
| ~ p205(sK76(X1))
| ~ p305(sK75(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK78(X1))
| r1(X1,sK77(X1))
| ~ sP6(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK77(X1))
| ~ sP6(X0)
| ~ p105(sK78(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK78(X1))
| ~ sP6(X0)
| ~ p405(sK77(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i] :
( ~ sP6(X0)
| ~ p105(sK78(X1))
| ~ p405(sK77(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK80(X1))
| r1(X1,sK79(X1))
| ~ sP5(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK79(X1))
| ~ sP5(X0)
| ~ p105(sK80(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK80(X1))
| ~ sP5(X0)
| ~ p305(sK79(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i] :
( ~ sP5(X0)
| ~ p105(sK80(X1))
| ~ p305(sK79(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK82(X1))
| r1(X1,sK81(X1))
| ~ sP4(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK81(X1))
| ~ sP4(X0)
| ~ p105(sK82(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK82(X1))
| ~ sP4(X0)
| ~ p205(sK81(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( ~ sP4(X0)
| ~ p105(sK82(X1))
| ~ p205(sK81(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK84(X1))
| r1(X1,sK83(X1))
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK83(X1))
| ~ sP3(X0)
| ~ p204(sK84(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK84(X1))
| ~ sP3(X0)
| ~ p304(sK83(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( ~ sP3(X0)
| ~ p204(sK84(X1))
| ~ p304(sK83(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK86(X1))
| r1(X1,sK85(X1))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK85(X1))
| ~ sP2(X0)
| ~ p104(sK86(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK86(X1))
| ~ sP2(X0)
| ~ p304(sK85(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] :
( ~ sP2(X0)
| ~ p104(sK86(X1))
| ~ p304(sK85(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK88(X1))
| r1(X1,sK87(X1))
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK87(X1))
| ~ sP1(X0)
| ~ p104(sK88(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK88(X1))
| ~ sP1(X0)
| ~ p204(sK87(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] :
( ~ sP1(X0)
| ~ p104(sK88(X1))
| ~ p204(sK87(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_224,negated_conjecture,
! [X0: $i] :
( sP40(X0)
| ~ r1(sK91,X0) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_225,negated_conjecture,
( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_226,negated_conjecture,
( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_227,negated_conjecture,
! [X0: $i] :
( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X0)
| ~ r1(sK91,X0) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_228,negated_conjecture,
! [X0: $i,X1: $i] :
( p301(sK91)
| p302(sK91)
| p303(sK91)
| p304(X1)
| p305(X0)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_229,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p201(sK91)
| p202(sK91)
| p203(X2)
| p204(X1)
| p205(X0)
| ~ r1(sK91,X2)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_230,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p101(sK91)
| p102(X3)
| p103(X2)
| p104(X1)
| p105(X0)
| ~ r1(sK91,X3)
| ~ r1(sK91,X2)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_232,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f360]) ).
tcf(c_233,plain,
r1(sK91,sK91),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_274,plain,
( sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_224]) ).
tcf(c_276,plain,
( ~ p101(sK91)
| ~ p301(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_278,plain,
( ~ p101(sK91)
| ~ p501(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_279,plain,
( ~ p101(sK91)
| ~ p601(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_282,plain,
( ~ p201(sK91)
| ~ p501(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_283,plain,
( ~ p201(sK91)
| ~ p601(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_285,plain,
( ~ p301(sK91)
| ~ p501(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_286,plain,
( ~ p301(sK91)
| ~ p601(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_289,plain,
( ~ p501(sK91)
| ~ p601(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_291,plain,
( ~ p202(sK91)
| ~ p402(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_292,plain,
( ~ p202(sK91)
| ~ p502(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_293,plain,
( ~ p202(sK91)
| ~ p602(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_294,plain,
( ~ p302(sK91)
| ~ p402(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_295,plain,
( ~ p302(sK91)
| ~ p502(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_296,plain,
( ~ p302(sK91)
| ~ p602(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_297,plain,
( ~ p402(sK91)
| ~ p502(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_298,plain,
( ~ p402(sK91)
| ~ p602(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_299,plain,
( ~ p502(sK91)
| ~ p602(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_1746,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p605(X1)
| ~ p405(sK41(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_50,c_125]) ).
tcf(c_1760,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK41(X1))
| ~ sP40(X0)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_50,c_124]) ).
tcf(c_1782,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p505(X1)
| ~ p405(sK42(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_51,c_127]) ).
tcf(c_1796,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK42(X1))
| ~ sP40(X0)
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_51,c_126]) ).
tcf(c_1818,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p605(X1)
| ~ p305(sK43(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_52,c_129]) ).
tcf(c_1832,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK43(X1))
| ~ sP40(X0)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_52,c_128]) ).
tcf(c_1854,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p505(X1)
| ~ p305(sK44(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_53,c_131]) ).
tcf(c_1868,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK44(X1))
| ~ sP40(X0)
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_53,c_130]) ).
tcf(c_1890,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p605(X1)
| ~ p205(sK45(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_55,c_133]) ).
tcf(c_1904,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK45(X1))
| ~ sP40(X0)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_55,c_132]) ).
tcf(c_1926,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p505(X1)
| ~ p205(sK46(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_56,c_135]) ).
tcf(c_1940,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK46(X1))
| ~ sP40(X0)
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_56,c_134]) ).
tcf(c_1962,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p605(X1)
| ~ p105(sK47(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_59,c_137]) ).
tcf(c_1976,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK47(X1))
| ~ sP40(X0)
| ~ p605(X1)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_59,c_136]) ).
tcf(c_1998,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p505(X1)
| ~ p105(sK48(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_60,c_139]) ).
tcf(c_2012,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK48(X1))
| ~ sP40(X0)
| ~ p505(X1)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_60,c_138]) ).
tcf(c_2034,plain,
! [X0: $i,X1: $i] :
( ~ p604(X1)
| ~ sP40(X0)
| ~ p304(sK49(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_67,c_141]) ).
tcf(c_2048,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK49(X1))
| ~ p604(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_67,c_140]) ).
tcf(c_2070,plain,
! [X0: $i,X1: $i] :
( ~ p504(X1)
| ~ sP40(X0)
| ~ p304(sK50(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_68,c_143]) ).
tcf(c_2084,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK50(X1))
| ~ p504(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_68,c_142]) ).
tcf(c_2106,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ sP40(X0)
| ~ p304(sK51(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_69,c_145]) ).
tcf(c_2120,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK51(X1))
| ~ p404(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_69,c_144]) ).
tcf(c_2142,plain,
! [X0: $i,X1: $i] :
( ~ p604(X1)
| ~ sP40(X0)
| ~ p204(sK52(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_70,c_147]) ).
tcf(c_2156,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK52(X1))
| ~ p604(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_70,c_146]) ).
tcf(c_2178,plain,
! [X0: $i,X1: $i] :
( ~ p504(X1)
| ~ sP40(X0)
| ~ p204(sK53(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_71,c_149]) ).
tcf(c_2192,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK53(X1))
| ~ p504(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_71,c_148]) ).
tcf(c_2214,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ sP40(X0)
| ~ p204(sK54(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_72,c_151]) ).
tcf(c_2228,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK54(X1))
| ~ p404(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_72,c_150]) ).
tcf(c_2250,plain,
! [X0: $i,X1: $i] :
( ~ p604(X1)
| ~ sP40(X0)
| ~ p104(sK55(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_74,c_153]) ).
tcf(c_2264,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK55(X1))
| ~ p604(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_74,c_152]) ).
tcf(c_2286,plain,
! [X0: $i,X1: $i] :
( ~ p504(X1)
| ~ sP40(X0)
| ~ p104(sK56(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_75,c_155]) ).
tcf(c_2300,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK56(X1))
| ~ p504(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_75,c_154]) ).
tcf(c_2322,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ sP40(X0)
| ~ p104(sK57(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_76,c_157]) ).
tcf(c_2336,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK57(X1))
| ~ p404(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_76,c_156]) ).
tcf(c_2358,plain,
! [X0: $i,X1: $i] :
( ~ p603(X1)
| ~ sP40(X0)
| ~ p203(sK58(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_85,c_159]) ).
tcf(c_2372,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK58(X1))
| ~ p603(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_85,c_158]) ).
tcf(c_2394,plain,
! [X0: $i,X1: $i] :
( ~ p503(X1)
| ~ sP40(X0)
| ~ p203(sK59(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_86,c_161]) ).
tcf(c_2408,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK59(X1))
| ~ p503(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_86,c_160]) ).
tcf(c_2430,plain,
! [X0: $i,X1: $i] :
( ~ p403(X1)
| ~ sP40(X0)
| ~ p203(sK60(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_87,c_163]) ).
tcf(c_2444,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK60(X1))
| ~ p403(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_87,c_162]) ).
tcf(c_2466,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ sP40(X0)
| ~ p203(sK61(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_88,c_165]) ).
tcf(c_2480,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK61(X1))
| ~ p303(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_88,c_164]) ).
tcf(c_2502,plain,
! [X0: $i,X1: $i] :
( ~ p603(X1)
| ~ sP40(X0)
| ~ p103(sK62(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_89,c_167]) ).
tcf(c_2516,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK62(X1))
| ~ p603(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_89,c_166]) ).
tcf(c_2538,plain,
! [X0: $i,X1: $i] :
( ~ p503(X1)
| ~ sP40(X0)
| ~ p103(sK63(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_90,c_169]) ).
tcf(c_2552,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK63(X1))
| ~ p503(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_90,c_168]) ).
tcf(c_2574,plain,
! [X0: $i,X1: $i] :
( ~ p403(X1)
| ~ sP40(X0)
| ~ p103(sK64(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_91,c_171]) ).
tcf(c_2588,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK64(X1))
| ~ p403(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_91,c_170]) ).
tcf(c_2610,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ sP40(X0)
| ~ p103(sK65(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_92,c_173]) ).
tcf(c_2624,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK65(X1))
| ~ p303(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_92,c_172]) ).
tcf(c_2646,plain,
! [X0: $i,X1: $i] :
( ~ p602(X1)
| ~ sP40(X0)
| ~ p102(sK66(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_104,c_175]) ).
tcf(c_2647,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ p102(sK66(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_2646]) ).
tcf(c_2660,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK66(X1))
| ~ p602(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_104,c_174]) ).
tcf(c_2661,plain,
( r1(sK91,sK66(sK91))
| ~ p602(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_2660]) ).
tcf(c_2682,plain,
! [X0: $i,X1: $i] :
( ~ p502(X1)
| ~ sP40(X0)
| ~ p102(sK67(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_105,c_177]) ).
tcf(c_2683,plain,
( ~ p502(sK91)
| ~ sP40(sK91)
| ~ p102(sK67(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_2682]) ).
tcf(c_2696,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK67(X1))
| ~ p502(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_105,c_176]) ).
tcf(c_2697,plain,
( r1(sK91,sK67(sK91))
| ~ p502(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_2696]) ).
tcf(c_2718,plain,
! [X0: $i,X1: $i] :
( ~ p402(X1)
| ~ sP40(X0)
| ~ p102(sK68(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_106,c_179]) ).
tcf(c_2732,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK68(X1))
| ~ p402(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_106,c_178]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i] :
( ~ p302(X1)
| ~ sP40(X0)
| ~ p102(sK69(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_107,c_181]) ).
tcf(c_2768,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK69(X1))
| ~ p302(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_107,c_180]) ).
tcf(c_2790,plain,
! [X0: $i,X1: $i] :
( ~ p202(X1)
| ~ sP40(X0)
| ~ p102(sK70(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_108,c_183]) ).
tcf(c_2804,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK70(X1))
| ~ p202(X1)
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_108,c_182]) ).
tcf(c_2826,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p305(sK72(X1))
| ~ p405(sK71(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_54,c_187]) ).
tcf(c_2840,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK72(X1))
| ~ sP40(X0)
| ~ p405(sK71(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_54,c_186]) ).
tcf(c_2854,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK71(X1))
| ~ sP40(X0)
| ~ p305(sK72(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_54,c_185]) ).
tcf(c_2868,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK72(X1))
| r1(X1,sK71(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_54,c_184]) ).
tcf(c_2898,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p205(sK74(X1))
| ~ p405(sK73(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_57,c_191]) ).
tcf(c_2912,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK74(X1))
| ~ sP40(X0)
| ~ p405(sK73(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_57,c_190]) ).
tcf(c_2926,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK73(X1))
| ~ sP40(X0)
| ~ p205(sK74(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_57,c_189]) ).
tcf(c_2940,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK74(X1))
| r1(X1,sK73(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_57,c_188]) ).
tcf(c_2970,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p205(sK76(X1))
| ~ p305(sK75(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_58,c_195]) ).
tcf(c_2984,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK76(X1))
| ~ sP40(X0)
| ~ p305(sK75(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_58,c_194]) ).
tcf(c_2998,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK75(X1))
| ~ sP40(X0)
| ~ p205(sK76(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_58,c_193]) ).
tcf(c_3012,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK76(X1))
| r1(X1,sK75(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_58,c_192]) ).
tcf(c_3042,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p105(sK78(X1))
| ~ p405(sK77(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_61,c_199]) ).
tcf(c_3056,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK78(X1))
| ~ sP40(X0)
| ~ p405(sK77(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_61,c_198]) ).
tcf(c_3070,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK77(X1))
| ~ sP40(X0)
| ~ p105(sK78(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_61,c_197]) ).
tcf(c_3084,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK78(X1))
| r1(X1,sK77(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_61,c_196]) ).
tcf(c_3114,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p105(sK80(X1))
| ~ p305(sK79(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_62,c_203]) ).
tcf(c_3128,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK80(X1))
| ~ sP40(X0)
| ~ p305(sK79(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_62,c_202]) ).
tcf(c_3142,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK79(X1))
| ~ sP40(X0)
| ~ p105(sK80(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_62,c_201]) ).
tcf(c_3156,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK80(X1))
| r1(X1,sK79(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_62,c_200]) ).
tcf(c_3186,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p105(sK82(X1))
| ~ p205(sK81(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_63,c_207]) ).
tcf(c_3200,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK82(X1))
| ~ sP40(X0)
| ~ p205(sK81(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_63,c_206]) ).
tcf(c_3214,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK81(X1))
| ~ sP40(X0)
| ~ p105(sK82(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_63,c_205]) ).
tcf(c_3228,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK82(X1))
| r1(X1,sK81(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_63,c_204]) ).
tcf(c_3258,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p204(sK84(X1))
| ~ p304(sK83(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_73,c_211]) ).
tcf(c_3272,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK84(X1))
| ~ sP40(X0)
| ~ p304(sK83(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_73,c_210]) ).
tcf(c_3286,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK83(X1))
| ~ sP40(X0)
| ~ p204(sK84(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_73,c_209]) ).
tcf(c_3300,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK84(X1))
| r1(X1,sK83(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_73,c_208]) ).
tcf(c_3330,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p104(sK86(X1))
| ~ p304(sK85(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_77,c_215]) ).
tcf(c_3344,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK86(X1))
| ~ sP40(X0)
| ~ p304(sK85(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_77,c_214]) ).
tcf(c_3358,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK85(X1))
| ~ sP40(X0)
| ~ p104(sK86(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_77,c_213]) ).
tcf(c_3372,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK86(X1))
| r1(X1,sK85(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_77,c_212]) ).
tcf(c_3402,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p104(sK88(X1))
| ~ p204(sK87(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_78,c_219]) ).
tcf(c_3416,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK88(X1))
| ~ sP40(X0)
| ~ p204(sK87(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_78,c_218]) ).
tcf(c_3430,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK87(X1))
| ~ sP40(X0)
| ~ p104(sK88(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_78,c_217]) ).
tcf(c_3444,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK88(X1))
| r1(X1,sK87(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_78,c_216]) ).
tcf(c_3546,plain,
! [X0: $i] :
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_119,c_225]) ).
tcf(c_3547,plain,
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_3546]) ).
tcf(c_3548,plain,
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_3546,c_233,c_274,c_3547]) ).
tcf(c_3565,plain,
! [X0: $i] :
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_115,c_225]) ).
tcf(c_3566,plain,
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_3565]) ).
tcf(c_3567,plain,
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_3565,c_233,c_274,c_225,c_283]) ).
tcf(c_3584,plain,
! [X0: $i] :
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_112,c_225]) ).
tcf(c_3585,plain,
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_3584]) ).
tcf(c_3586,plain,
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_3584,c_233,c_274,c_225,c_286]) ).
tcf(c_3603,plain,
! [X0: $i] :
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p401(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_110,c_225]) ).
tcf(c_3604,plain,
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p401(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_3603]) ).
tcf(c_3605,plain,
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p401(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_3603,c_233,c_274,c_3604]) ).
tcf(c_3622,plain,
! [X0: $i] :
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p501(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_109,c_225]) ).
tcf(c_3624,plain,
( p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p501(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_3622,c_233,c_274,c_225,c_289]) ).
tcf(c_3666,plain,
( p502(sK91)
| p602(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91) ),
inference(resolution,[status(thm)],[c_226,c_3624]) ).
tcf(c_3691,plain,
! [X0: $i] :
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p101(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_120,c_226]) ).
tcf(c_3693,plain,
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p101(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_3691,c_233,c_274,c_226,c_278]) ).
tcf(c_3710,plain,
! [X0: $i] :
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_116,c_226]) ).
tcf(c_3711,plain,
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_3710]) ).
tcf(c_3712,plain,
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_3710,c_233,c_274,c_3711]) ).
tcf(c_3729,plain,
! [X0: $i] :
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p301(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_113,c_226]) ).
tcf(c_3731,plain,
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p301(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_3729,c_233,c_274,c_226,c_285]) ).
tcf(c_3748,plain,
! [X0: $i] :
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p401(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_111,c_226]) ).
tcf(c_3749,plain,
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p401(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_3748]) ).
tcf(c_3750,plain,
( p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p401(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_3748,c_233,c_274,c_3749]) ).
tcf(c_3795,plain,
! [X0: $i] :
( p402(sK91)
| p502(sK91)
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X0)
| ~ r1(sK91,X0) ),
inference(resolution,[status(thm)],[c_227,c_3750]) ).
tcf(c_3824,plain,
! [X0: $i] :
( p402(sK91)
| p602(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X0)
| ~ r1(sK91,X0) ),
inference(resolution,[status(thm)],[c_227,c_3605]) ).
tcf(c_3853,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X1)
| ~ p101(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_121,c_227]) ).
tcf(c_3879,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X1)
| ~ p201(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_117,c_227]) ).
tcf(c_3905,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X1)
| ~ p301(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_114,c_227]) ).
tcf(c_7673,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| r1(sK91,sK66(sK91))
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2660,c_3824]) ).
tcf(c_7708,plain,
! [X0: $i] :
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| r1(sK91,sK66(sK91))
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2660,c_3666]) ).
tcf(c_7710,plain,
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| r1(sK91,sK66(sK91)) ),
inference(global_subsumption_just,[status(thm)],[c_7708,c_233,c_274,c_226,c_2661,c_3624]) ).
tcf(c_7736,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| r1(sK91,sK66(sK91))
| ~ p301(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2660,c_3586]) ).
tcf(c_7737,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| r1(sK91,sK66(sK91))
| ~ p301(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_7736]) ).
tcf(c_7755,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| r1(sK91,sK66(sK91))
| ~ p201(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2660,c_3567]) ).
tcf(c_7756,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| r1(sK91,sK66(sK91))
| ~ p201(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_7755]) ).
tcf(c_7793,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ sP40(X0)
| ~ p102(sK66(sK91))
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2646,c_3824]) ).
tcf(c_7828,plain,
! [X0: $i] :
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ sP40(X0)
| ~ p102(sK66(sK91))
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2646,c_3666]) ).
tcf(c_7830,plain,
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p102(sK66(sK91)) ),
inference(global_subsumption_just,[status(thm)],[c_7828,c_233,c_274,c_226,c_2647,c_3624]) ).
tcf(c_7856,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ sP40(X0)
| ~ p102(sK66(sK91))
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2646,c_3586]) ).
tcf(c_7857,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ sP40(sK91)
| ~ p102(sK66(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_7856]) ).
tcf(c_7875,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ sP40(X0)
| ~ p102(sK66(sK91))
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2646,c_3567]) ).
tcf(c_7876,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ sP40(sK91)
| ~ p102(sK66(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_7875]) ).
tcf(c_7913,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ p202(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_100,c_3824]) ).
tcf(c_7915,plain,
! [X0: $i,X1: $i] :
( ~ r1(X0,sK91)
| ~ r1(sK91,X1)
| ~ sP40(X0)
| ~ p202(sK91)
| p405(X1)
| p605(sK91)
| p604(sK91)
| p404(sK91)
| p603(sK91)
| p403(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_7913,c_233,c_274,c_291,c_7913]) ).
tcf(c_7916,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ p202(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(renaming,[status(thm)],[c_7915]) ).
tcf(c_7948,plain,
! [X0: $i] :
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p202(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_100,c_3666]) ).
tcf(c_7949,plain,
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p202(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_7948]) ).
tcf(c_7950,plain,
( ~ p202(sK91)
| p605(sK91)
| p505(sK91)
| p604(sK91)
| p504(sK91)
| p603(sK91)
| p503(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_7948,c_233,c_274,c_292,c_7949]) ).
tcf(c_7951,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p202(sK91) ),
inference(renaming,[status(thm)],[c_7950]) ).
tcf(c_7973,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ p202(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_100,c_3586]) ).
tcf(c_7975,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ p202(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_7973,c_233,c_274,c_225,c_286,c_293]) ).
tcf(c_8011,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p202(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_100,c_3548]) ).
tcf(c_8012,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p202(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_8011]) ).
tcf(c_8013,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p202(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8011,c_233,c_274,c_293,c_3547]) ).
tcf(c_8030,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ p302(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_97,c_3824]) ).
tcf(c_8032,plain,
! [X0: $i,X1: $i] :
( ~ r1(X0,sK91)
| ~ r1(sK91,X1)
| ~ sP40(X0)
| ~ p302(sK91)
| p405(X1)
| p605(sK91)
| p604(sK91)
| p404(sK91)
| p603(sK91)
| p403(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8030,c_233,c_274,c_294,c_8030]) ).
tcf(c_8033,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ p302(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(renaming,[status(thm)],[c_8032]) ).
tcf(c_8065,plain,
! [X0: $i] :
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p302(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_97,c_3666]) ).
tcf(c_8066,plain,
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p302(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_8065]) ).
tcf(c_8067,plain,
( ~ p302(sK91)
| p605(sK91)
| p505(sK91)
| p604(sK91)
| p504(sK91)
| p603(sK91)
| p503(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8065,c_233,c_274,c_295,c_8066]) ).
tcf(c_8068,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p302(sK91) ),
inference(renaming,[status(thm)],[c_8067]) ).
tcf(c_8109,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p302(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_97,c_3567]) ).
tcf(c_8110,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p302(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_8109]) ).
tcf(c_8111,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p302(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8109,c_233,c_274,c_225,c_283,c_296]) ).
tcf(c_8128,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p302(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_97,c_3548]) ).
tcf(c_8130,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p302(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8128,c_233,c_274,c_225,c_279,c_296]) ).
tcf(c_8148,plain,
! [X0: $i] :
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p402(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_95,c_3666]) ).
tcf(c_8149,plain,
( p502(sK91)
| p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p402(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_8148]) ).
tcf(c_8150,plain,
( ~ p402(sK91)
| p605(sK91)
| p505(sK91)
| p604(sK91)
| p504(sK91)
| p603(sK91)
| p503(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8148,c_233,c_274,c_297,c_8149]) ).
tcf(c_8151,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p402(sK91) ),
inference(renaming,[status(thm)],[c_8150]) ).
tcf(c_8173,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ p402(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_95,c_3586]) ).
tcf(c_8175,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ p402(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8173,c_233,c_274,c_225,c_286,c_298]) ).
tcf(c_8192,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p402(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_95,c_3567]) ).
tcf(c_8193,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p402(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_8192]) ).
tcf(c_8194,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p402(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8192,c_233,c_274,c_225,c_283,c_298]) ).
tcf(c_8211,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p402(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_95,c_3548]) ).
tcf(c_8212,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p402(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_8211]) ).
tcf(c_8213,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p402(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8211,c_233,c_274,c_225,c_279,c_298]) ).
tcf(c_8230,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ p502(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_94,c_3824]) ).
tcf(c_8232,plain,
! [X0: $i,X1: $i] :
( ~ r1(X0,sK91)
| ~ r1(sK91,X1)
| ~ sP40(X0)
| ~ p502(sK91)
| p405(X1)
| p605(sK91)
| p604(sK91)
| p404(sK91)
| p603(sK91)
| p403(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8230,c_233,c_274,c_297,c_8230]) ).
tcf(c_8233,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ p502(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(renaming,[status(thm)],[c_8232]) ).
tcf(c_8266,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ p502(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_94,c_3586]) ).
tcf(c_8267,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ p502(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_8266]) ).
tcf(c_8268,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ p502(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8266,c_233,c_274,c_8267]) ).
tcf(c_8285,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p502(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_94,c_3567]) ).
tcf(c_8286,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p502(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_8285]) ).
tcf(c_8287,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p502(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8285,c_233,c_274,c_225,c_283,c_299]) ).
tcf(c_8304,plain,
! [X0: $i] :
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p502(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_94,c_3548]) ).
tcf(c_8305,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p502(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_8304]) ).
tcf(c_8306,plain,
( p603(sK91)
| p604(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p502(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_8304,c_233,c_274,c_225,c_279,c_299]) ).
tcf(c_10654,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p101(sK91)
| ~ p102(sK66(sK91)) ),
inference(resolution,[status(thm)],[c_7830,c_8306]) ).
tcf(c_10655,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p101(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_10654,c_233,c_274,c_3693,c_8305]) ).
tcf(c_10678,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p201(sK91)
| ~ p102(sK66(sK91)) ),
inference(resolution,[status(thm)],[c_7830,c_8287]) ).
tcf(c_10679,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p201(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_10678,c_233,c_274,c_226,c_282,c_8286]) ).
tcf(c_10702,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p301(sK91)
| ~ p102(sK66(sK91)) ),
inference(resolution,[status(thm)],[c_7830,c_8268]) ).
tcf(c_10703,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p301(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_10702,c_233,c_274,c_3731,c_8267]) ).
tcf(c_10829,plain,
! [X0: $i,X1: $i,X2: $i] :
( p402(sK91)
| p403(sK91)
| p503(sK91)
| p603(sK91)
| p404(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| p405(X2)
| p405(X1)
| ~ sP40(X0)
| ~ r1(sK91,X2)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_3795,c_8233]) ).
tcf(c_10831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1(X0,sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X2)
| ~ sP40(X0)
| p405(X1)
| p405(X2)
| p605(sK91)
| p505(sK91)
| p604(sK91)
| p504(sK91)
| p404(sK91)
| p603(sK91)
| p503(sK91)
| p403(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_10829,c_8151,c_10829]) ).
tcf(c_10832,plain,
! [X0: $i,X1: $i,X2: $i] :
( p403(sK91)
| p503(sK91)
| p603(sK91)
| p404(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| p405(X2)
| p405(X1)
| ~ sP40(X0)
| ~ r1(sK91,X2)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(renaming,[status(thm)],[c_10831]) ).
tcf(c_10897,plain,
! [X0: $i] :
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| r1(sK91,sK67(sK91))
| ~ sP40(X0)
| ~ p102(sK66(sK91))
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2696,c_7830]) ).
tcf(c_10899,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| r1(sK91,sK67(sK91))
| ~ p102(sK66(sK91)) ),
inference(global_subsumption_just,[status(thm)],[c_10897,c_233,c_274,c_2647,c_2697,c_3666]) ).
tcf(c_10925,plain,
! [X0: $i] :
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| r1(sK91,sK67(sK91))
| r1(sK91,sK66(sK91))
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2696,c_7710]) ).
tcf(c_10927,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| r1(sK91,sK67(sK91))
| r1(sK91,sK66(sK91)) ),
inference(global_subsumption_just,[status(thm)],[c_10925,c_233,c_274,c_2661,c_2697,c_3666]) ).
tcf(c_10953,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| r1(sK91,sK67(sK91))
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2696,c_3795]) ).
tcf(c_10988,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| r1(sK91,sK67(sK91))
| ~ p301(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2696,c_3731]) ).
tcf(c_10990,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| r1(sK91,sK67(sK91))
| ~ p301(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_10988,c_233,c_274,c_226,c_285,c_2697]) ).
tcf(c_11007,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| r1(sK91,sK67(sK91))
| ~ p201(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2696,c_3712]) ).
tcf(c_11009,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| r1(sK91,sK67(sK91))
| ~ p201(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11007,c_233,c_274,c_226,c_282,c_2697]) ).
tcf(c_11045,plain,
! [X0: $i] :
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ sP40(X0)
| ~ p102(sK67(sK91))
| ~ p102(sK66(sK91))
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2682,c_7830]) ).
tcf(c_11047,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p102(sK66(sK91))
| ~ p102(sK67(sK91)) ),
inference(global_subsumption_just,[status(thm)],[c_11045,c_233,c_274,c_2683,c_7830]) ).
tcf(c_11048,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| ~ p102(sK67(sK91))
| ~ p102(sK66(sK91)) ),
inference(renaming,[status(thm)],[c_11047]) ).
tcf(c_11073,plain,
! [X0: $i] :
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| r1(sK91,sK66(sK91))
| ~ sP40(X0)
| ~ p102(sK67(sK91))
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2682,c_7710]) ).
tcf(c_11075,plain,
( p503(sK91)
| p603(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| r1(sK91,sK66(sK91))
| ~ p102(sK67(sK91)) ),
inference(global_subsumption_just,[status(thm)],[c_11073,c_233,c_274,c_2661,c_2683,c_3666]) ).
tcf(c_11101,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ sP40(X0)
| ~ p102(sK67(sK91))
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2682,c_3795]) ).
tcf(c_11136,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p301(sK91)
| ~ sP40(X0)
| ~ p102(sK67(sK91))
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2682,c_3731]) ).
tcf(c_11138,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p301(sK91)
| ~ p102(sK67(sK91)) ),
inference(global_subsumption_just,[status(thm)],[c_11136,c_233,c_274,c_226,c_285,c_2683]) ).
tcf(c_11155,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91)
| ~ sP40(X0)
| ~ p102(sK67(sK91))
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_2682,c_3712]) ).
tcf(c_11157,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91)
| ~ p102(sK67(sK91)) ),
inference(global_subsumption_just,[status(thm)],[c_11155,c_233,c_274,c_226,c_282,c_2683]) ).
tcf(c_11197,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p202(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_101,c_3795]) ).
tcf(c_11199,plain,
! [X0: $i,X1: $i] :
( ~ r1(X0,sK91)
| ~ r1(sK91,X1)
| ~ sP40(X0)
| ~ p202(sK91)
| p405(X1)
| p505(sK91)
| p504(sK91)
| p404(sK91)
| p503(sK91)
| p403(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11197,c_233,c_274,c_291,c_11197]) ).
tcf(c_11200,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p202(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(renaming,[status(thm)],[c_11199]) ).
tcf(c_11232,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p301(sK91)
| ~ p202(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_101,c_3731]) ).
tcf(c_11233,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p301(sK91)
| ~ p202(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_11232]) ).
tcf(c_11234,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p301(sK91)
| ~ p202(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11232,c_233,c_274,c_11233]) ).
tcf(c_11270,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p101(sK91)
| ~ p202(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_101,c_3693]) ).
tcf(c_11272,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p101(sK91)
| ~ p202(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11270,c_233,c_274,c_292,c_3693]) ).
tcf(c_11293,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p302(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_98,c_3795]) ).
tcf(c_11295,plain,
! [X0: $i,X1: $i] :
( ~ r1(X0,sK91)
| ~ r1(sK91,X1)
| ~ sP40(X0)
| ~ p302(sK91)
| p405(X1)
| p505(sK91)
| p504(sK91)
| p404(sK91)
| p503(sK91)
| p403(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11293,c_233,c_274,c_294,c_11293]) ).
tcf(c_11296,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p302(sK91)
| ~ sP40(X0)
| ~ r1(sK91,X1)
| ~ r1(X0,sK91) ),
inference(renaming,[status(thm)],[c_11295]) ).
tcf(c_11347,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91)
| ~ p302(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_98,c_3712]) ).
tcf(c_11349,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91)
| ~ p302(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11347,c_233,c_274,c_295,c_3712]) ).
tcf(c_11366,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p101(sK91)
| ~ p302(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_98,c_3693]) ).
tcf(c_11368,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p101(sK91)
| ~ p302(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11366,c_233,c_274,c_295,c_3693]) ).
tcf(c_11390,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p301(sK91)
| ~ p402(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_96,c_3731]) ).
tcf(c_11392,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p301(sK91)
| ~ p402(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11390,c_233,c_274,c_297,c_3731]) ).
tcf(c_11409,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91)
| ~ p402(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_96,c_3712]) ).
tcf(c_11410,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91)
| ~ p402(sK91)
| ~ sP40(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_11409]) ).
tcf(c_11411,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p201(sK91)
| ~ p402(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11409,c_233,c_274,c_11410]) ).
tcf(c_11428,plain,
! [X0: $i] :
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p101(sK91)
| ~ p402(sK91)
| ~ sP40(X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_96,c_3693]) ).
tcf(c_11430,plain,
( p503(sK91)
| p504(sK91)
| p505(sK91)
| ~ p101(sK91)
| ~ p402(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_11428,c_233,c_274,c_297,c_3693]) ).
tcf(c_14005,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p302(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_11296]) ).
tcf(c_14037,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p202(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_11200]) ).
tcf(c_14069,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p102(sK67(sK91))
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_11101]) ).
tcf(c_14104,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| r1(sK91,sK67(sK91))
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_10953]) ).
tcf(c_14139,plain,
! [X0: $i,X1: $i,X2: $i] :
( p403(sK91)
| p503(sK91)
| p603(sK91)
| p404(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91)
| p405(X2)
| p405(X1)
| ~ r1(sK91,X2)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_10832]) ).
tcf(c_14263,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ p302(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_8033]) ).
tcf(c_14295,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ p202(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_7916]) ).
tcf(c_14327,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| ~ p102(sK66(sK91))
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_7793]) ).
tcf(c_14362,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| p405(X1)
| r1(sK91,sK66(sK91))
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_7673]) ).
tcf(c_14397,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X1)
| ~ p301(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_3905]) ).
tcf(c_14423,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X1)
| ~ p201(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_3879]) ).
tcf(c_14449,plain,
! [X0: $i,X1: $i] :
( p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X1)
| ~ p101(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_224,c_3853]) ).
tcf(c_14531,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK88(X1))
| r1(X1,sK87(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3444]) ).
tcf(c_14532,plain,
( r1(sK91,sK88(sK91))
| r1(sK91,sK87(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14531]) ).
tcf(c_14545,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK87(X1))
| ~ p104(sK88(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3430]) ).
tcf(c_14546,plain,
( r1(sK91,sK87(sK91))
| ~ p104(sK88(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14545]) ).
tcf(c_14559,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK88(X1))
| ~ p204(sK87(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3416]) ).
tcf(c_14560,plain,
( r1(sK91,sK88(sK91))
| ~ p204(sK87(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14559]) ).
tcf(c_14573,plain,
! [X0: $i,X1: $i] :
( ~ p104(sK88(X1))
| ~ p204(sK87(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3402]) ).
tcf(c_14574,plain,
( ~ p104(sK88(sK91))
| ~ p204(sK87(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14573]) ).
tcf(c_14587,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK86(X1))
| r1(X1,sK85(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3372]) ).
tcf(c_14588,plain,
( r1(sK91,sK86(sK91))
| r1(sK91,sK85(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14587]) ).
tcf(c_14601,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK85(X1))
| ~ p104(sK86(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3358]) ).
tcf(c_14602,plain,
( r1(sK91,sK85(sK91))
| ~ p104(sK86(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14601]) ).
tcf(c_14615,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK86(X1))
| ~ p304(sK85(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3344]) ).
tcf(c_14616,plain,
( r1(sK91,sK86(sK91))
| ~ p304(sK85(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14615]) ).
tcf(c_14629,plain,
! [X0: $i,X1: $i] :
( ~ p104(sK86(X1))
| ~ p304(sK85(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3330]) ).
tcf(c_14630,plain,
( ~ p104(sK86(sK91))
| ~ p304(sK85(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14629]) ).
tcf(c_14643,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK84(X1))
| r1(X1,sK83(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3300]) ).
tcf(c_14644,plain,
( r1(sK91,sK84(sK91))
| r1(sK91,sK83(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14643]) ).
tcf(c_14657,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK83(X1))
| ~ p204(sK84(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3286]) ).
tcf(c_14658,plain,
( r1(sK91,sK83(sK91))
| ~ p204(sK84(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14657]) ).
tcf(c_14671,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK84(X1))
| ~ p304(sK83(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3272]) ).
tcf(c_14672,plain,
( r1(sK91,sK84(sK91))
| ~ p304(sK83(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14671]) ).
tcf(c_14685,plain,
! [X0: $i,X1: $i] :
( ~ p204(sK84(X1))
| ~ p304(sK83(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3258]) ).
tcf(c_14686,plain,
( ~ p204(sK84(sK91))
| ~ p304(sK83(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14685]) ).
tcf(c_14699,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK82(X1))
| r1(X1,sK81(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3228]) ).
tcf(c_14700,plain,
( r1(sK91,sK82(sK91))
| r1(sK91,sK81(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14699]) ).
tcf(c_14713,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK81(X1))
| ~ p105(sK82(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3214]) ).
tcf(c_14714,plain,
( r1(sK91,sK81(sK91))
| ~ p105(sK82(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14713]) ).
tcf(c_14727,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK82(X1))
| ~ p205(sK81(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3200]) ).
tcf(c_14728,plain,
( r1(sK91,sK82(sK91))
| ~ p205(sK81(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14727]) ).
tcf(c_14741,plain,
! [X0: $i,X1: $i] :
( ~ p105(sK82(X1))
| ~ p205(sK81(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3186]) ).
tcf(c_14742,plain,
( ~ p105(sK82(sK91))
| ~ p205(sK81(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14741]) ).
tcf(c_14755,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK80(X1))
| r1(X1,sK79(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3156]) ).
tcf(c_14756,plain,
( r1(sK91,sK80(sK91))
| r1(sK91,sK79(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14755]) ).
tcf(c_14769,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK79(X1))
| ~ p105(sK80(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3142]) ).
tcf(c_14770,plain,
( r1(sK91,sK79(sK91))
| ~ p105(sK80(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14769]) ).
tcf(c_14783,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK80(X1))
| ~ p305(sK79(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3128]) ).
tcf(c_14784,plain,
( r1(sK91,sK80(sK91))
| ~ p305(sK79(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14783]) ).
tcf(c_14797,plain,
! [X0: $i,X1: $i] :
( ~ p105(sK80(X1))
| ~ p305(sK79(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3114]) ).
tcf(c_14798,plain,
( ~ p105(sK80(sK91))
| ~ p305(sK79(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14797]) ).
tcf(c_14811,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK78(X1))
| r1(X1,sK77(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3084]) ).
tcf(c_14812,plain,
( r1(sK91,sK78(sK91))
| r1(sK91,sK77(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14811]) ).
tcf(c_14825,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK77(X1))
| ~ p105(sK78(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3070]) ).
tcf(c_14826,plain,
( r1(sK91,sK77(sK91))
| ~ p105(sK78(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14825]) ).
tcf(c_14839,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK78(X1))
| ~ p405(sK77(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3056]) ).
tcf(c_14840,plain,
( r1(sK91,sK78(sK91))
| ~ p405(sK77(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14839]) ).
tcf(c_14853,plain,
! [X0: $i,X1: $i] :
( ~ p105(sK78(X1))
| ~ p405(sK77(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3042]) ).
tcf(c_14854,plain,
( ~ p105(sK78(sK91))
| ~ p405(sK77(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14853]) ).
tcf(c_14867,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK76(X1))
| r1(X1,sK75(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3012]) ).
tcf(c_14868,plain,
( r1(sK91,sK76(sK91))
| r1(sK91,sK75(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14867]) ).
tcf(c_14881,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK75(X1))
| ~ p205(sK76(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2998]) ).
tcf(c_14882,plain,
( r1(sK91,sK75(sK91))
| ~ p205(sK76(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14881]) ).
tcf(c_14895,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK76(X1))
| ~ p305(sK75(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2984]) ).
tcf(c_14896,plain,
( r1(sK91,sK76(sK91))
| ~ p305(sK75(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14895]) ).
tcf(c_14909,plain,
! [X0: $i,X1: $i] :
( ~ p205(sK76(X1))
| ~ p305(sK75(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2970]) ).
tcf(c_14910,plain,
( ~ p205(sK76(sK91))
| ~ p305(sK75(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14909]) ).
tcf(c_14923,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK74(X1))
| r1(X1,sK73(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2940]) ).
tcf(c_14924,plain,
( r1(sK91,sK74(sK91))
| r1(sK91,sK73(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14923]) ).
tcf(c_14937,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK73(X1))
| ~ p205(sK74(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2926]) ).
tcf(c_14938,plain,
( r1(sK91,sK73(sK91))
| ~ p205(sK74(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14937]) ).
tcf(c_14951,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK74(X1))
| ~ p405(sK73(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2912]) ).
tcf(c_14952,plain,
( r1(sK91,sK74(sK91))
| ~ p405(sK73(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14951]) ).
tcf(c_14965,plain,
! [X0: $i,X1: $i] :
( ~ p205(sK74(X1))
| ~ p405(sK73(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2898]) ).
tcf(c_14966,plain,
( ~ p205(sK74(sK91))
| ~ p405(sK73(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14965]) ).
tcf(c_14979,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK72(X1))
| r1(X1,sK71(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2868]) ).
tcf(c_14980,plain,
( r1(sK91,sK72(sK91))
| r1(sK91,sK71(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14979]) ).
tcf(c_14993,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK71(X1))
| ~ p305(sK72(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2854]) ).
tcf(c_14994,plain,
( r1(sK91,sK71(sK91))
| ~ p305(sK72(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14993]) ).
tcf(c_15007,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK72(X1))
| ~ p405(sK71(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2840]) ).
tcf(c_15008,plain,
( r1(sK91,sK72(sK91))
| ~ p405(sK71(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15007]) ).
tcf(c_15021,plain,
! [X0: $i,X1: $i] :
( ~ p305(sK72(X1))
| ~ p405(sK71(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2826]) ).
tcf(c_15022,plain,
( ~ p305(sK72(sK91))
| ~ p405(sK71(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15021]) ).
tcf(c_15035,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK70(X1))
| ~ p202(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2804]) ).
tcf(c_15036,plain,
( r1(sK91,sK70(sK91))
| ~ p202(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15035]) ).
tcf(c_15049,plain,
! [X0: $i,X1: $i] :
( ~ p202(X1)
| ~ p102(sK70(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2790]) ).
tcf(c_15050,plain,
( ~ p202(sK91)
| ~ p102(sK70(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15049]) ).
tcf(c_15063,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK69(X1))
| ~ p302(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2768]) ).
tcf(c_15064,plain,
( r1(sK91,sK69(sK91))
| ~ p302(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15063]) ).
tcf(c_15077,plain,
! [X0: $i,X1: $i] :
( ~ p302(X1)
| ~ p102(sK69(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2754]) ).
tcf(c_15078,plain,
( ~ p302(sK91)
| ~ p102(sK69(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15077]) ).
tcf(c_15091,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK68(X1))
| ~ p402(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2732]) ).
tcf(c_15092,plain,
( r1(sK91,sK68(sK91))
| ~ p402(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15091]) ).
tcf(c_15105,plain,
! [X0: $i,X1: $i] :
( ~ p402(X1)
| ~ p102(sK68(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2718]) ).
tcf(c_15106,plain,
( ~ p402(sK91)
| ~ p102(sK68(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15105]) ).
tcf(c_15119,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK65(X1))
| ~ p303(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2624]) ).
tcf(c_15120,plain,
( r1(sK91,sK65(sK91))
| ~ p303(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15119]) ).
tcf(c_15133,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ p103(sK65(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2610]) ).
tcf(c_15134,plain,
( ~ p303(sK91)
| ~ p103(sK65(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15133]) ).
tcf(c_15147,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK64(X1))
| ~ p403(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2588]) ).
tcf(c_15148,plain,
( r1(sK91,sK64(sK91))
| ~ p403(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15147]) ).
tcf(c_15161,plain,
! [X0: $i,X1: $i] :
( ~ p403(X1)
| ~ p103(sK64(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2574]) ).
tcf(c_15162,plain,
( ~ p403(sK91)
| ~ p103(sK64(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15161]) ).
tcf(c_15175,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK63(X1))
| ~ p503(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2552]) ).
tcf(c_15176,plain,
( r1(sK91,sK63(sK91))
| ~ p503(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15175]) ).
tcf(c_15189,plain,
! [X0: $i,X1: $i] :
( ~ p503(X1)
| ~ p103(sK63(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2538]) ).
tcf(c_15190,plain,
( ~ p503(sK91)
| ~ p103(sK63(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15189]) ).
tcf(c_15203,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK62(X1))
| ~ p603(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2516]) ).
tcf(c_15204,plain,
( r1(sK91,sK62(sK91))
| ~ p603(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15203]) ).
tcf(c_15217,plain,
! [X0: $i,X1: $i] :
( ~ p603(X1)
| ~ p103(sK62(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2502]) ).
tcf(c_15218,plain,
( ~ p603(sK91)
| ~ p103(sK62(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15217]) ).
tcf(c_15231,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK61(X1))
| ~ p303(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2480]) ).
tcf(c_15232,plain,
( r1(sK91,sK61(sK91))
| ~ p303(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15231]) ).
tcf(c_15245,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ p203(sK61(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2466]) ).
tcf(c_15246,plain,
( ~ p303(sK91)
| ~ p203(sK61(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15245]) ).
tcf(c_15259,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK60(X1))
| ~ p403(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2444]) ).
tcf(c_15260,plain,
( r1(sK91,sK60(sK91))
| ~ p403(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15259]) ).
tcf(c_15273,plain,
! [X0: $i,X1: $i] :
( ~ p403(X1)
| ~ p203(sK60(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2430]) ).
tcf(c_15274,plain,
( ~ p403(sK91)
| ~ p203(sK60(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15273]) ).
tcf(c_15287,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK59(X1))
| ~ p503(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2408]) ).
tcf(c_15288,plain,
( r1(sK91,sK59(sK91))
| ~ p503(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15287]) ).
tcf(c_15301,plain,
! [X0: $i,X1: $i] :
( ~ p503(X1)
| ~ p203(sK59(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2394]) ).
tcf(c_15302,plain,
( ~ p503(sK91)
| ~ p203(sK59(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15301]) ).
tcf(c_15315,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK58(X1))
| ~ p603(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2372]) ).
tcf(c_15316,plain,
( r1(sK91,sK58(sK91))
| ~ p603(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15315]) ).
tcf(c_15329,plain,
! [X0: $i,X1: $i] :
( ~ p603(X1)
| ~ p203(sK58(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2358]) ).
tcf(c_15330,plain,
( ~ p603(sK91)
| ~ p203(sK58(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15329]) ).
tcf(c_15343,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK57(X1))
| ~ p404(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2336]) ).
tcf(c_15344,plain,
( r1(sK91,sK57(sK91))
| ~ p404(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15343]) ).
tcf(c_15357,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ p104(sK57(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2322]) ).
tcf(c_15358,plain,
( ~ p404(sK91)
| ~ p104(sK57(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15357]) ).
tcf(c_15371,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK56(X1))
| ~ p504(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2300]) ).
tcf(c_15372,plain,
( r1(sK91,sK56(sK91))
| ~ p504(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15371]) ).
tcf(c_15385,plain,
! [X0: $i,X1: $i] :
( ~ p504(X1)
| ~ p104(sK56(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2286]) ).
tcf(c_15386,plain,
( ~ p504(sK91)
| ~ p104(sK56(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15385]) ).
tcf(c_15399,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK55(X1))
| ~ p604(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2264]) ).
tcf(c_15400,plain,
( r1(sK91,sK55(sK91))
| ~ p604(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15399]) ).
tcf(c_15413,plain,
! [X0: $i,X1: $i] :
( ~ p604(X1)
| ~ p104(sK55(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2250]) ).
tcf(c_15414,plain,
( ~ p604(sK91)
| ~ p104(sK55(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15413]) ).
tcf(c_15427,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK54(X1))
| ~ p404(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2228]) ).
tcf(c_15428,plain,
( r1(sK91,sK54(sK91))
| ~ p404(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15427]) ).
tcf(c_15441,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ p204(sK54(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2214]) ).
tcf(c_15442,plain,
( ~ p404(sK91)
| ~ p204(sK54(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15441]) ).
tcf(c_15455,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK53(X1))
| ~ p504(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2192]) ).
tcf(c_15456,plain,
( r1(sK91,sK53(sK91))
| ~ p504(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15455]) ).
tcf(c_15469,plain,
! [X0: $i,X1: $i] :
( ~ p504(X1)
| ~ p204(sK53(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2178]) ).
tcf(c_15470,plain,
( ~ p504(sK91)
| ~ p204(sK53(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15469]) ).
tcf(c_15483,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK52(X1))
| ~ p604(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2156]) ).
tcf(c_15484,plain,
( r1(sK91,sK52(sK91))
| ~ p604(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15483]) ).
tcf(c_15497,plain,
! [X0: $i,X1: $i] :
( ~ p604(X1)
| ~ p204(sK52(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2142]) ).
tcf(c_15498,plain,
( ~ p604(sK91)
| ~ p204(sK52(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15497]) ).
tcf(c_15511,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK51(X1))
| ~ p404(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2120]) ).
tcf(c_15512,plain,
( r1(sK91,sK51(sK91))
| ~ p404(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15511]) ).
tcf(c_15525,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ p304(sK51(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2106]) ).
tcf(c_15526,plain,
( ~ p404(sK91)
| ~ p304(sK51(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15525]) ).
tcf(c_15539,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK50(X1))
| ~ p504(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2084]) ).
tcf(c_15540,plain,
( r1(sK91,sK50(sK91))
| ~ p504(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15539]) ).
tcf(c_15553,plain,
! [X0: $i,X1: $i] :
( ~ p504(X1)
| ~ p304(sK50(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2070]) ).
tcf(c_15554,plain,
( ~ p504(sK91)
| ~ p304(sK50(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15553]) ).
tcf(c_15567,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK49(X1))
| ~ p604(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2048]) ).
tcf(c_15568,plain,
( r1(sK91,sK49(sK91))
| ~ p604(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15567]) ).
tcf(c_15581,plain,
! [X0: $i,X1: $i] :
( ~ p604(X1)
| ~ p304(sK49(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2034]) ).
tcf(c_15582,plain,
( ~ p604(sK91)
| ~ p304(sK49(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15581]) ).
tcf(c_15595,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK48(X1))
| ~ p505(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_2012]) ).
tcf(c_15596,plain,
( r1(sK91,sK48(sK91))
| ~ p505(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15595]) ).
tcf(c_15609,plain,
! [X0: $i,X1: $i] :
( ~ p505(X1)
| ~ p105(sK48(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1998]) ).
tcf(c_15610,plain,
( ~ p505(sK91)
| ~ p105(sK48(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15609]) ).
tcf(c_15623,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK47(X1))
| ~ p605(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1976]) ).
tcf(c_15624,plain,
( r1(sK91,sK47(sK91))
| ~ p605(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15623]) ).
tcf(c_15637,plain,
! [X0: $i,X1: $i] :
( ~ p605(X1)
| ~ p105(sK47(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1962]) ).
tcf(c_15638,plain,
( ~ p605(sK91)
| ~ p105(sK47(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15637]) ).
tcf(c_15651,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK46(X1))
| ~ p505(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1940]) ).
tcf(c_15652,plain,
( r1(sK91,sK46(sK91))
| ~ p505(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15651]) ).
tcf(c_15665,plain,
! [X0: $i,X1: $i] :
( ~ p505(X1)
| ~ p205(sK46(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1926]) ).
tcf(c_15666,plain,
( ~ p505(sK91)
| ~ p205(sK46(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15665]) ).
tcf(c_15679,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK45(X1))
| ~ p605(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1904]) ).
tcf(c_15680,plain,
( r1(sK91,sK45(sK91))
| ~ p605(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15679]) ).
tcf(c_15693,plain,
! [X0: $i,X1: $i] :
( ~ p605(X1)
| ~ p205(sK45(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1890]) ).
tcf(c_15694,plain,
( ~ p605(sK91)
| ~ p205(sK45(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15693]) ).
tcf(c_15707,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK44(X1))
| ~ p505(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1868]) ).
tcf(c_15708,plain,
( r1(sK91,sK44(sK91))
| ~ p505(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15707]) ).
tcf(c_15721,plain,
! [X0: $i,X1: $i] :
( ~ p505(X1)
| ~ p305(sK44(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1854]) ).
tcf(c_15722,plain,
( ~ p505(sK91)
| ~ p305(sK44(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15721]) ).
tcf(c_15735,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK43(X1))
| ~ p605(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1832]) ).
tcf(c_15736,plain,
( r1(sK91,sK43(sK91))
| ~ p605(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15735]) ).
tcf(c_15749,plain,
! [X0: $i,X1: $i] :
( ~ p605(X1)
| ~ p305(sK43(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1818]) ).
tcf(c_15750,plain,
( ~ p605(sK91)
| ~ p305(sK43(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15749]) ).
tcf(c_15763,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK42(X1))
| ~ p505(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1796]) ).
tcf(c_15764,plain,
( r1(sK91,sK42(sK91))
| ~ p505(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15763]) ).
tcf(c_15777,plain,
! [X0: $i,X1: $i] :
( ~ p505(X1)
| ~ p405(sK42(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1782]) ).
tcf(c_15778,plain,
( ~ p505(sK91)
| ~ p405(sK42(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15777]) ).
tcf(c_15791,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK41(X1))
| ~ p605(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1760]) ).
tcf(c_15792,plain,
( r1(sK91,sK41(sK91))
| ~ p605(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15791]) ).
tcf(c_15805,plain,
! [X0: $i,X1: $i] :
( ~ p605(X1)
| ~ p405(sK41(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_1746]) ).
tcf(c_15806,plain,
( ~ p605(sK91)
| ~ p405(sK41(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15805]) ).
tcf(c_15819,plain,
! [X0: $i,X1: $i] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_123]) ).
tcf(c_15820,plain,
( ~ p101(sK91)
| ~ p201(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15819]) ).
tcf(c_15833,plain,
! [X0: $i,X1: $i] :
( ~ p101(X1)
| ~ p301(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_122]) ).
tcf(c_15834,plain,
( ~ p101(sK91)
| ~ p301(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15833]) ).
tcf(c_15847,plain,
! [X0: $i,X1: $i] :
( ~ p201(X1)
| ~ p301(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_118]) ).
tcf(c_15848,plain,
( ~ p201(sK91)
| ~ p301(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15847]) ).
tcf(c_15861,plain,
! [X0: $i,X1: $i] :
( ~ p202(X1)
| ~ p302(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_103]) ).
tcf(c_15862,plain,
( ~ p202(sK91)
| ~ p302(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15861]) ).
tcf(c_15875,plain,
! [X0: $i,X1: $i] :
( ~ p202(X1)
| ~ p402(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_102]) ).
tcf(c_15876,plain,
( ~ p202(sK91)
| ~ p402(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15875]) ).
tcf(c_15889,plain,
! [X0: $i,X1: $i] :
( ~ p302(X1)
| ~ p402(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_99]) ).
tcf(c_15890,plain,
( ~ p302(sK91)
| ~ p402(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15889]) ).
tcf(c_15903,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ p403(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_84]) ).
tcf(c_15904,plain,
( ~ p303(sK91)
| ~ p403(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15903]) ).
tcf(c_15917,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ p503(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_83]) ).
tcf(c_15918,plain,
( ~ p303(sK91)
| ~ p503(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15917]) ).
tcf(c_15931,plain,
! [X0: $i,X1: $i] :
( ~ p303(X1)
| ~ p603(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_82]) ).
tcf(c_15932,plain,
( ~ p303(sK91)
| ~ p603(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15931]) ).
tcf(c_15945,plain,
! [X0: $i,X1: $i] :
( ~ p403(X1)
| ~ p503(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_81]) ).
tcf(c_15946,plain,
( ~ p403(sK91)
| ~ p503(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15945]) ).
tcf(c_15959,plain,
! [X0: $i,X1: $i] :
( ~ p403(X1)
| ~ p603(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_80]) ).
tcf(c_15960,plain,
( ~ p403(sK91)
| ~ p603(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15959]) ).
tcf(c_15973,plain,
! [X0: $i,X1: $i] :
( ~ p503(X1)
| ~ p603(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_79]) ).
tcf(c_15974,plain,
( ~ p503(sK91)
| ~ p603(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15973]) ).
tcf(c_15987,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ p504(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_66]) ).
tcf(c_15988,plain,
( ~ p404(sK91)
| ~ p504(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_15987]) ).
tcf(c_16001,plain,
! [X0: $i,X1: $i] :
( ~ p404(X1)
| ~ p604(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_65]) ).
tcf(c_16002,plain,
( ~ p404(sK91)
| ~ p604(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_16001]) ).
tcf(c_16015,plain,
! [X0: $i,X1: $i] :
( ~ p504(X1)
| ~ p604(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_64]) ).
tcf(c_16016,plain,
( ~ p504(sK91)
| ~ p604(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_16015]) ).
tcf(c_16029,plain,
! [X0: $i,X1: $i] :
( ~ p505(X1)
| ~ p605(X1)
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_49]) ).
tcf(c_16030,plain,
( ~ p505(sK91)
| ~ p605(sK91)
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_16029]) ).
tcf(c_21443,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p101(sK91)
| ~ p201(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_14449,c_11411]) ).
tcf(c_21444,plain,
( ~ p101(sK91)
| ~ p201(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_21443,c_233,c_15820]) ).
tcf(c_21452,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p101(sK91)
| ~ p301(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_14449,c_11392]) ).
tcf(c_21453,plain,
( ~ p101(sK91)
| ~ p301(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_21452,c_233,c_274,c_276]) ).
tcf(c_21531,plain,
! [X0: $i,X1: $i] :
( p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| p405(X1)
| ~ p201(sK91)
| ~ p301(sK91)
| ~ r1(sK91,X1)
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(resolution,[status(thm)],[c_14423,c_11392]) ).
tcf(c_21532,plain,
( ~ p201(sK91)
| ~ p301(sK91) ),
inference(global_subsumption_just,[status(thm)],[c_21531,c_233,c_15848]) ).
tcf(c_30442,plain,
! [X0: $i] :
( ~ iPr_def_10
| p405(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_14449]) ).
tcf(c_30443,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ r1(sK91,X0)
| ~ r1(X0,sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_14449]) ).
tcf(c_30444,plain,
( iPr_def_11
| iPr_def_10
| p402(sK91)
| p403(sK91)
| p404(sK91)
| ~ p101(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14449]) ).
tcf(c_30445,plain,
( iPr_def_11
| iPr_def_10
| p402(sK91)
| p403(sK91)
| p404(sK91)
| ~ p201(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14423]) ).
tcf(c_30446,plain,
( iPr_def_11
| iPr_def_10
| p402(sK91)
| p403(sK91)
| p404(sK91)
| ~ p301(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14397]) ).
tcf(c_30447,plain,
( iPr_def_11
| iPr_def_10
| p402(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| r1(sK91,sK66(sK91)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14362]) ).
tcf(c_30448,plain,
( iPr_def_11
| iPr_def_10
| p402(sK91)
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| ~ p102(sK66(sK91)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14327]) ).
tcf(c_30449,plain,
( iPr_def_11
| iPr_def_10
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| ~ p202(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14295]) ).
tcf(c_30450,plain,
( iPr_def_11
| iPr_def_10
| p403(sK91)
| p603(sK91)
| p404(sK91)
| p604(sK91)
| p605(sK91)
| ~ p302(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14263]) ).
tcf(c_30453,plain,
( iPr_def_11
| iPr_def_10
| p403(sK91)
| p503(sK91)
| p603(sK91)
| p404(sK91)
| p504(sK91)
| p604(sK91)
| p505(sK91)
| p605(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14139]) ).
tcf(c_30454,plain,
( iPr_def_11
| iPr_def_10
| p402(sK91)
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| r1(sK91,sK67(sK91)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14104]) ).
tcf(c_30455,plain,
( iPr_def_11
| iPr_def_10
| p402(sK91)
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| ~ p102(sK67(sK91)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14069]) ).
tcf(c_30456,plain,
( iPr_def_11
| iPr_def_10
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| ~ p202(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14037]) ).
tcf(c_30457,plain,
( iPr_def_11
| iPr_def_10
| p403(sK91)
| p503(sK91)
| p404(sK91)
| p504(sK91)
| p505(sK91)
| ~ p302(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_14005]) ).
tcf(c_30458,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| p103(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_230]) ).
tcf(c_30459,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| p104(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_230]) ).
tcf(c_30460,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| p102(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_230]) ).
tcf(c_30461,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| p105(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_230]) ).
tcf(c_30462,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13
| iPr_def_12
| p101(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_230]) ).
tcf(c_30463,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| p204(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_229]) ).
tcf(c_30464,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| p203(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_229]) ).
tcf(c_30465,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| p205(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_229]) ).
tcf(c_30466,negated_conjecture,
( iPr_def_18
| iPr_def_17
| iPr_def_16
| p201(sK91)
| p202(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_229]) ).
tcf(c_30467,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| p304(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_228]) ).
tcf(c_30468,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| p305(X0)
| ~ r1(sK91,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_228]) ).
tcf(c_30469,negated_conjecture,
( iPr_def_20
| iPr_def_19
| p301(sK91)
| p302(sK91)
| p303(sK91) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_228]) ).
tcf(c_30480,plain,
( ~ iPr_def_11
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_30443]) ).
tcf(c_30481,plain,
! [X0: $i] :
( p105(sK47(X0))
| ~ iPr_def_15
| ~ r1(sK91,sK47(X0)) ),
inference(instantiation,[status(thm)],[c_30461]) ).
tcf(c_30482,plain,
( p105(sK47(sK91))
| ~ iPr_def_15
| ~ r1(sK91,sK47(sK91)) ),
inference(instantiation,[status(thm)],[c_30481]) ).
tcf(c_30483,plain,
! [X0: $i] :
( p105(sK82(X0))
| ~ iPr_def_15
| ~ r1(sK91,sK82(X0)) ),
inference(instantiation,[status(thm)],[c_30461]) ).
tcf(c_30484,plain,
( p105(sK82(sK91))
| ~ iPr_def_15
| ~ r1(sK91,sK82(sK91)) ),
inference(instantiation,[status(thm)],[c_30483]) ).
tcf(c_30485,plain,
! [X0: $i] :
( p105(sK80(X0))
| ~ iPr_def_15
| ~ r1(sK91,sK80(X0)) ),
inference(instantiation,[status(thm)],[c_30461]) ).
tcf(c_30486,plain,
( p105(sK80(sK91))
| ~ iPr_def_15
| ~ r1(sK91,sK80(sK91)) ),
inference(instantiation,[status(thm)],[c_30485]) ).
tcf(c_30487,plain,
! [X0: $i] :
( p105(sK78(X0))
| ~ iPr_def_15
| ~ r1(sK91,sK78(X0)) ),
inference(instantiation,[status(thm)],[c_30461]) ).
tcf(c_30488,plain,
( p105(sK78(sK91))
| ~ iPr_def_15
| ~ r1(sK91,sK78(sK91)) ),
inference(instantiation,[status(thm)],[c_30487]) ).
tcf(c_30489,plain,
! [X0: $i] :
( p104(sK57(X0))
| ~ iPr_def_13
| ~ r1(sK91,sK57(X0)) ),
inference(instantiation,[status(thm)],[c_30459]) ).
tcf(c_30490,plain,
( p104(sK57(sK91))
| ~ iPr_def_13
| ~ r1(sK91,sK57(sK91)) ),
inference(instantiation,[status(thm)],[c_30489]) ).
tcf(c_30491,plain,
! [X0: $i] :
( p104(sK86(X0))
| ~ iPr_def_13
| ~ r1(sK91,sK86(X0)) ),
inference(instantiation,[status(thm)],[c_30459]) ).
tcf(c_30492,plain,
( p104(sK86(sK91))
| ~ iPr_def_13
| ~ r1(sK91,sK86(sK91)) ),
inference(instantiation,[status(thm)],[c_30491]) ).
tcf(c_30493,plain,
! [X0: $i] :
( p104(sK88(X0))
| ~ iPr_def_13
| ~ r1(sK91,sK88(X0)) ),
inference(instantiation,[status(thm)],[c_30459]) ).
tcf(c_30494,plain,
( p104(sK88(sK91))
| ~ iPr_def_13
| ~ r1(sK91,sK88(sK91)) ),
inference(instantiation,[status(thm)],[c_30493]) ).
tcf(c_30495,plain,
! [X0: $i] :
( p103(sK65(X0))
| ~ iPr_def_12
| ~ r1(sK91,sK65(X0)) ),
inference(instantiation,[status(thm)],[c_30458]) ).
tcf(c_30496,plain,
( p103(sK65(sK91))
| ~ iPr_def_12
| ~ r1(sK91,sK65(sK91)) ),
inference(instantiation,[status(thm)],[c_30495]) ).
tcf(c_30497,plain,
! [X0: $i] :
( p103(sK90(X0))
| ~ iPr_def_12
| ~ r1(sK91,sK90(X0)) ),
inference(instantiation,[status(thm)],[c_30458]) ).
tcf(c_30498,plain,
( p103(sK90(sK91))
| ~ iPr_def_12
| ~ r1(sK91,sK90(sK91)) ),
inference(instantiation,[status(thm)],[c_30497]) ).
tcf(c_30499,plain,
! [X0: $i] :
( p102(sK70(X0))
| ~ iPr_def_14
| ~ r1(sK91,sK70(X0)) ),
inference(instantiation,[status(thm)],[c_30460]) ).
tcf(c_30500,plain,
( p102(sK70(sK91))
| ~ iPr_def_14
| ~ r1(sK91,sK70(sK91)) ),
inference(instantiation,[status(thm)],[c_30499]) ).
tcf(c_30501,plain,
! [X0: $i] :
( p305(sK43(X0))
| ~ iPr_def_20
| ~ r1(sK91,sK43(X0)) ),
inference(instantiation,[status(thm)],[c_30468]) ).
tcf(c_30502,plain,
( p305(sK43(sK91))
| ~ iPr_def_20
| ~ r1(sK91,sK43(sK91)) ),
inference(instantiation,[status(thm)],[c_30501]) ).
tcf(c_30503,plain,
! [X0: $i] :
( p305(sK72(X0))
| ~ iPr_def_20
| ~ r1(sK91,sK72(X0)) ),
inference(instantiation,[status(thm)],[c_30468]) ).
tcf(c_30504,plain,
( p305(sK72(sK91))
| ~ iPr_def_20
| ~ r1(sK91,sK72(sK91)) ),
inference(instantiation,[status(thm)],[c_30503]) ).
tcf(c_30505,plain,
! [X0: $i] :
( p305(sK75(X0))
| ~ iPr_def_20
| ~ r1(sK91,sK75(X0)) ),
inference(instantiation,[status(thm)],[c_30468]) ).
tcf(c_30506,plain,
( p305(sK75(sK91))
| ~ iPr_def_20
| ~ r1(sK91,sK75(sK91)) ),
inference(instantiation,[status(thm)],[c_30505]) ).
tcf(c_30507,plain,
! [X0: $i] :
( p305(sK79(X0))
| ~ iPr_def_20
| ~ r1(sK91,sK79(X0)) ),
inference(instantiation,[status(thm)],[c_30468]) ).
tcf(c_30508,plain,
( p305(sK79(sK91))
| ~ iPr_def_20
| ~ r1(sK91,sK79(sK91)) ),
inference(instantiation,[status(thm)],[c_30507]) ).
tcf(c_30512,plain,
! [X0: $i] :
( p104(sK55(X0))
| ~ iPr_def_13
| ~ r1(sK91,sK55(X0)) ),
inference(instantiation,[status(thm)],[c_30459]) ).
tcf(c_30513,plain,
( p104(sK55(sK91))
| ~ iPr_def_13
| ~ r1(sK91,sK55(sK91)) ),
inference(instantiation,[status(thm)],[c_30512]) ).
tcf(c_30514,plain,
( p102(sK67(sK91))
| ~ iPr_def_14
| ~ r1(sK91,sK67(sK91)) ),
inference(instantiation,[status(thm)],[c_30460]) ).
tcf(c_30515,plain,
! [X0: $i] :
( p205(sK45(X0))
| ~ iPr_def_18
| ~ r1(sK91,sK45(X0)) ),
inference(instantiation,[status(thm)],[c_30465]) ).
tcf(c_30516,plain,
( p205(sK45(sK91))
| ~ iPr_def_18
| ~ r1(sK91,sK45(sK91)) ),
inference(instantiation,[status(thm)],[c_30515]) ).
tcf(c_30517,plain,
! [X0: $i] :
( p205(sK74(X0))
| ~ iPr_def_18
| ~ r1(sK91,sK74(X0)) ),
inference(instantiation,[status(thm)],[c_30465]) ).
tcf(c_30518,plain,
( p205(sK74(sK91))
| ~ iPr_def_18
| ~ r1(sK91,sK74(sK91)) ),
inference(instantiation,[status(thm)],[c_30517]) ).
tcf(c_30519,plain,
! [X0: $i] :
( p205(sK76(X0))
| ~ iPr_def_18
| ~ r1(sK91,sK76(X0)) ),
inference(instantiation,[status(thm)],[c_30465]) ).
tcf(c_30520,plain,
( p205(sK76(sK91))
| ~ iPr_def_18
| ~ r1(sK91,sK76(sK91)) ),
inference(instantiation,[status(thm)],[c_30519]) ).
tcf(c_30521,plain,
! [X0: $i] :
( p205(sK81(X0))
| ~ iPr_def_18
| ~ r1(sK91,sK81(X0)) ),
inference(instantiation,[status(thm)],[c_30465]) ).
tcf(c_30522,plain,
( p205(sK81(sK91))
| ~ iPr_def_18
| ~ r1(sK91,sK81(sK91)) ),
inference(instantiation,[status(thm)],[c_30521]) ).
tcf(c_30523,plain,
! [X0: $i] :
( p103(sK62(X0))
| ~ iPr_def_12
| ~ r1(sK91,sK62(X0)) ),
inference(instantiation,[status(thm)],[c_30458]) ).
tcf(c_30524,plain,
( p103(sK62(sK91))
| ~ iPr_def_12
| ~ r1(sK91,sK62(sK91)) ),
inference(instantiation,[status(thm)],[c_30523]) ).
tcf(c_30530,plain,
! [X0: $i] :
( p204(sK52(X0))
| ~ iPr_def_16
| ~ r1(sK91,sK52(X0)) ),
inference(instantiation,[status(thm)],[c_30463]) ).
tcf(c_30531,plain,
( p204(sK52(sK91))
| ~ iPr_def_16
| ~ r1(sK91,sK52(sK91)) ),
inference(instantiation,[status(thm)],[c_30530]) ).
tcf(c_30532,plain,
! [X0: $i] :
( p204(sK54(X0))
| ~ iPr_def_16
| ~ r1(sK91,sK54(X0)) ),
inference(instantiation,[status(thm)],[c_30463]) ).
tcf(c_30533,plain,
( p204(sK54(sK91))
| ~ iPr_def_16
| ~ r1(sK91,sK54(sK91)) ),
inference(instantiation,[status(thm)],[c_30532]) ).
tcf(c_30534,plain,
! [X0: $i] :
( p204(sK84(X0))
| ~ iPr_def_16
| ~ r1(sK91,sK84(X0)) ),
inference(instantiation,[status(thm)],[c_30463]) ).
tcf(c_30535,plain,
( p204(sK84(sK91))
| ~ iPr_def_16
| ~ r1(sK91,sK84(sK91)) ),
inference(instantiation,[status(thm)],[c_30534]) ).
tcf(c_30536,plain,
! [X0: $i] :
( p204(sK87(X0))
| ~ iPr_def_16
| ~ r1(sK91,sK87(X0)) ),
inference(instantiation,[status(thm)],[c_30463]) ).
tcf(c_30537,plain,
( p204(sK87(sK91))
| ~ iPr_def_16
| ~ r1(sK91,sK87(sK91)) ),
inference(instantiation,[status(thm)],[c_30536]) ).
tcf(c_30538,plain,
( p102(sK66(sK91))
| ~ iPr_def_14
| ~ r1(sK91,sK66(sK91)) ),
inference(instantiation,[status(thm)],[c_30460]) ).
tcf(c_30542,plain,
! [X0: $i] :
( p203(sK58(X0))
| ~ iPr_def_17
| ~ r1(sK91,sK58(X0)) ),
inference(instantiation,[status(thm)],[c_30464]) ).
tcf(c_30543,plain,
( p203(sK58(sK91))
| ~ iPr_def_17
| ~ r1(sK91,sK58(sK91)) ),
inference(instantiation,[status(thm)],[c_30542]) ).
tcf(c_30544,plain,
! [X0: $i] :
( p203(sK61(X0))
| ~ iPr_def_17
| ~ r1(sK91,sK61(X0)) ),
inference(instantiation,[status(thm)],[c_30464]) ).
tcf(c_30545,plain,
( p203(sK61(sK91))
| ~ iPr_def_17
| ~ r1(sK91,sK61(sK91)) ),
inference(instantiation,[status(thm)],[c_30544]) ).
tcf(c_30546,plain,
! [X0: $i] :
( p203(sK89(X0))
| ~ iPr_def_17
| ~ r1(sK91,sK89(X0)) ),
inference(instantiation,[status(thm)],[c_30464]) ).
tcf(c_30547,plain,
( p203(sK89(sK91))
| ~ iPr_def_17
| ~ r1(sK91,sK89(sK91)) ),
inference(instantiation,[status(thm)],[c_30546]) ).
tcf(c_30550,plain,
! [X0: $i] :
( p405(sK41(X0))
| ~ iPr_def_10
| ~ r1(sK91,sK41(X0)) ),
inference(instantiation,[status(thm)],[c_30442]) ).
tcf(c_30551,plain,
( p405(sK41(sK91))
| ~ iPr_def_10
| ~ r1(sK91,sK41(sK91)) ),
inference(instantiation,[status(thm)],[c_30550]) ).
tcf(c_30552,plain,
! [X0: $i] :
( p405(sK71(X0))
| ~ iPr_def_10
| ~ r1(sK91,sK71(X0)) ),
inference(instantiation,[status(thm)],[c_30442]) ).
tcf(c_30553,plain,
( p405(sK71(sK91))
| ~ iPr_def_10
| ~ r1(sK91,sK71(sK91)) ),
inference(instantiation,[status(thm)],[c_30552]) ).
tcf(c_30554,plain,
! [X0: $i] :
( p405(sK73(X0))
| ~ iPr_def_10
| ~ r1(sK91,sK73(X0)) ),
inference(instantiation,[status(thm)],[c_30442]) ).
tcf(c_30555,plain,
( p405(sK73(sK91))
| ~ iPr_def_10
| ~ r1(sK91,sK73(sK91)) ),
inference(instantiation,[status(thm)],[c_30554]) ).
tcf(c_30556,plain,
! [X0: $i] :
( p405(sK77(X0))
| ~ iPr_def_10
| ~ r1(sK91,sK77(X0)) ),
inference(instantiation,[status(thm)],[c_30442]) ).
tcf(c_30557,plain,
( p405(sK77(sK91))
| ~ iPr_def_10
| ~ r1(sK91,sK77(sK91)) ),
inference(instantiation,[status(thm)],[c_30556]) ).
tcf(c_30558,plain,
! [X0: $i] :
( p103(sK64(X0))
| ~ iPr_def_12
| ~ r1(sK91,sK64(X0)) ),
inference(instantiation,[status(thm)],[c_30458]) ).
tcf(c_30559,plain,
( p103(sK64(sK91))
| ~ iPr_def_12
| ~ r1(sK91,sK64(sK91)) ),
inference(instantiation,[status(thm)],[c_30558]) ).
tcf(c_30560,plain,
! [X0: $i] :
( p203(sK60(X0))
| ~ iPr_def_17
| ~ r1(sK91,sK60(X0)) ),
inference(instantiation,[status(thm)],[c_30464]) ).
tcf(c_30561,plain,
( p203(sK60(sK91))
| ~ iPr_def_17
| ~ r1(sK91,sK60(sK91)) ),
inference(instantiation,[status(thm)],[c_30560]) ).
tcf(c_30567,plain,
! [X0: $i] :
( p103(sK63(X0))
| ~ iPr_def_12
| ~ r1(sK91,sK63(X0)) ),
inference(instantiation,[status(thm)],[c_30458]) ).
tcf(c_30568,plain,
( p103(sK63(sK91))
| ~ iPr_def_12
| ~ r1(sK91,sK63(sK91)) ),
inference(instantiation,[status(thm)],[c_30567]) ).
tcf(c_30569,plain,
! [X0: $i] :
( p203(sK59(X0))
| ~ iPr_def_17
| ~ r1(sK91,sK59(X0)) ),
inference(instantiation,[status(thm)],[c_30464]) ).
tcf(c_30570,plain,
( p203(sK59(sK91))
| ~ iPr_def_17
| ~ r1(sK91,sK59(sK91)) ),
inference(instantiation,[status(thm)],[c_30569]) ).
tcf(c_30575,plain,
! [X0: $i] :
( p104(sK56(X0))
| ~ iPr_def_13
| ~ r1(sK91,sK56(X0)) ),
inference(instantiation,[status(thm)],[c_30459]) ).
tcf(c_30576,plain,
( p104(sK56(sK91))
| ~ iPr_def_13
| ~ r1(sK91,sK56(sK91)) ),
inference(instantiation,[status(thm)],[c_30575]) ).
tcf(c_30577,plain,
! [X0: $i] :
( p204(sK53(X0))
| ~ iPr_def_16
| ~ r1(sK91,sK53(X0)) ),
inference(instantiation,[status(thm)],[c_30463]) ).
tcf(c_30578,plain,
( p204(sK53(sK91))
| ~ iPr_def_16
| ~ r1(sK91,sK53(sK91)) ),
inference(instantiation,[status(thm)],[c_30577]) ).
tcf(c_30579,plain,
! [X0: $i] :
( p105(sK48(X0))
| ~ iPr_def_15
| ~ r1(sK91,sK48(X0)) ),
inference(instantiation,[status(thm)],[c_30461]) ).
tcf(c_30580,plain,
( p105(sK48(sK91))
| ~ iPr_def_15
| ~ r1(sK91,sK48(sK91)) ),
inference(instantiation,[status(thm)],[c_30579]) ).
tcf(c_30581,plain,
! [X0: $i] :
( p205(sK46(X0))
| ~ iPr_def_18
| ~ r1(sK91,sK46(X0)) ),
inference(instantiation,[status(thm)],[c_30465]) ).
tcf(c_30582,plain,
( p205(sK46(sK91))
| ~ iPr_def_18
| ~ r1(sK91,sK46(sK91)) ),
inference(instantiation,[status(thm)],[c_30581]) ).
tcf(c_30583,plain,
! [X0: $i] :
( p305(sK44(X0))
| ~ iPr_def_20
| ~ r1(sK91,sK44(X0)) ),
inference(instantiation,[status(thm)],[c_30468]) ).
tcf(c_30584,plain,
( p305(sK44(sK91))
| ~ iPr_def_20
| ~ r1(sK91,sK44(sK91)) ),
inference(instantiation,[status(thm)],[c_30583]) ).
tcf(c_30585,plain,
! [X0: $i] :
( p405(sK42(X0))
| ~ iPr_def_10
| ~ r1(sK91,sK42(X0)) ),
inference(instantiation,[status(thm)],[c_30442]) ).
tcf(c_30586,plain,
( p405(sK42(sK91))
| ~ iPr_def_10
| ~ r1(sK91,sK42(sK91)) ),
inference(instantiation,[status(thm)],[c_30585]) ).
tcf(c_30587,plain,
! [X0: $i] :
( p304(sK49(X0))
| ~ iPr_def_19
| ~ r1(sK91,sK49(X0)) ),
inference(instantiation,[status(thm)],[c_30467]) ).
tcf(c_30588,plain,
( p304(sK49(sK91))
| ~ iPr_def_19
| ~ r1(sK91,sK49(sK91)) ),
inference(instantiation,[status(thm)],[c_30587]) ).
tcf(c_30589,plain,
! [X0: $i] :
( p304(sK50(X0))
| ~ iPr_def_19
| ~ r1(sK91,sK50(X0)) ),
inference(instantiation,[status(thm)],[c_30467]) ).
tcf(c_30590,plain,
( p304(sK50(sK91))
| ~ iPr_def_19
| ~ r1(sK91,sK50(sK91)) ),
inference(instantiation,[status(thm)],[c_30589]) ).
tcf(c_30591,plain,
! [X0: $i] :
( p304(sK51(X0))
| ~ iPr_def_19
| ~ r1(sK91,sK51(X0)) ),
inference(instantiation,[status(thm)],[c_30467]) ).
tcf(c_30592,plain,
( p304(sK51(sK91))
| ~ iPr_def_19
| ~ r1(sK91,sK51(sK91)) ),
inference(instantiation,[status(thm)],[c_30591]) ).
tcf(c_30593,plain,
! [X0: $i] :
( p304(sK83(X0))
| ~ iPr_def_19
| ~ r1(sK91,sK83(X0)) ),
inference(instantiation,[status(thm)],[c_30467]) ).
tcf(c_30594,plain,
( p304(sK83(sK91))
| ~ iPr_def_19
| ~ r1(sK91,sK83(sK91)) ),
inference(instantiation,[status(thm)],[c_30593]) ).
tcf(c_30595,plain,
! [X0: $i] :
( p304(sK85(X0))
| ~ iPr_def_19
| ~ r1(sK91,sK85(X0)) ),
inference(instantiation,[status(thm)],[c_30467]) ).
tcf(c_30596,plain,
( p304(sK85(sK91))
| ~ iPr_def_19
| ~ r1(sK91,sK85(sK91)) ),
inference(instantiation,[status(thm)],[c_30595]) ).
tcf(c_30597,plain,
! [X0: $i] :
( p102(sK69(X0))
| ~ iPr_def_14
| ~ r1(sK91,sK69(X0)) ),
inference(instantiation,[status(thm)],[c_30460]) ).
tcf(c_30598,plain,
( p102(sK69(sK91))
| ~ iPr_def_14
| ~ r1(sK91,sK69(sK91)) ),
inference(instantiation,[status(thm)],[c_30597]) ).
tcf(c_30609,plain,
! [X0: $i] :
( p102(sK68(X0))
| ~ iPr_def_14
| ~ r1(sK91,sK68(X0)) ),
inference(instantiation,[status(thm)],[c_30460]) ).
tcf(c_30610,plain,
( p102(sK68(sK91))
| ~ iPr_def_14
| ~ r1(sK91,sK68(sK91)) ),
inference(instantiation,[status(thm)],[c_30609]) ).
fof(f11,definition,
! [X1] :
( ~ sP0(X1)
| ! [X89] :
( ? [X91] :
( ~ p103(X91)
& r1(X89,X91) )
| ? [X90] :
( ~ p203(X90)
& r1(X89,X90) )
| ~ r1(X1,X89) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X1] :
( ~ sP1(X1)
| ! [X64] :
( ? [X66] :
( ~ p104(X66)
& r1(X64,X66) )
| ? [X65] :
( ~ p204(X65)
& r1(X64,X65) )
| ~ r1(X1,X64) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X1] :
( ~ sP2(X1)
| ! [X61] :
( ? [X63] :
( ~ p104(X63)
& r1(X61,X63) )
| ? [X62] :
( ~ p304(X62)
& r1(X61,X62) )
| ~ r1(X1,X61) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X1] :
( ~ sP3(X1)
| ! [X52] :
( ? [X54] :
( ~ p204(X54)
& r1(X52,X54) )
| ? [X53] :
( ~ p304(X53)
& r1(X52,X53) )
| ~ r1(X1,X52) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X1] :
( ~ sP4(X1)
| ! [X34] :
( ? [X36] :
( ~ p105(X36)
& r1(X34,X36) )
| ? [X35] :
( ~ p205(X35)
& r1(X34,X35) )
| ~ r1(X1,X34) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X1] :
( ~ sP5(X1)
| ! [X31] :
( ? [X33] :
( ~ p105(X33)
& r1(X31,X33) )
| ? [X32] :
( ~ p305(X32)
& r1(X31,X32) )
| ~ r1(X1,X31) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X1] :
( ~ sP6(X1)
| ! [X28] :
( ? [X30] :
( ~ p105(X30)
& r1(X28,X30) )
| ? [X29] :
( ~ p405(X29)
& r1(X28,X29) )
| ~ r1(X1,X28) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X1] :
( ~ sP7(X1)
| ! [X21] :
( ? [X23] :
( ~ p205(X23)
& r1(X21,X23) )
| ? [X22] :
( ~ p305(X22)
& r1(X21,X22) )
| ~ r1(X1,X21) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X1] :
( ~ sP8(X1)
| ! [X18] :
( ? [X20] :
( ~ p205(X20)
& r1(X18,X20) )
| ? [X19] :
( ~ p405(X19)
& r1(X18,X19) )
| ~ r1(X1,X18) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X1] :
( ~ sP9(X1)
| ! [X11] :
( ? [X13] :
( ~ p305(X13)
& r1(X11,X13) )
| ? [X12] :
( ~ p405(X12)
& r1(X11,X12) )
| ~ r1(X1,X11) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X1] :
( ~ sP10(X1)
| ! [X110] :
( ? [X111] :
( ~ p102(X111)
& r1(X110,X111) )
| ~ p202(X110)
| ~ r1(X1,X110) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X1] :
( ~ sP11(X1)
| ! [X108] :
( ? [X109] :
( ~ p102(X109)
& r1(X108,X109) )
| ~ p302(X108)
| ~ r1(X1,X108) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X1] :
( ~ sP12(X1)
| ! [X106] :
( ? [X107] :
( ~ p102(X107)
& r1(X106,X107) )
| ~ p402(X106)
| ~ r1(X1,X106) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X1] :
( ~ sP13(X1)
| ! [X104] :
( ? [X105] :
( ~ p102(X105)
& r1(X104,X105) )
| ~ p502(X104)
| ~ r1(X1,X104) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X1] :
( ~ sP14(X1)
| ! [X102] :
( ? [X103] :
( ~ p102(X103)
& r1(X102,X103) )
| ~ p602(X102)
| ~ r1(X1,X102) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X1] :
( ~ sP15(X1)
| ! [X87] :
( ? [X88] :
( ~ p103(X88)
& r1(X87,X88) )
| ~ p303(X87)
| ~ r1(X1,X87) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X1] :
( ~ sP16(X1)
| ! [X85] :
( ? [X86] :
( ~ p103(X86)
& r1(X85,X86) )
| ~ p403(X85)
| ~ r1(X1,X85) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X1] :
( ~ sP17(X1)
| ! [X83] :
( ? [X84] :
( ~ p103(X84)
& r1(X83,X84) )
| ~ p503(X83)
| ~ r1(X1,X83) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X1] :
( ~ sP18(X1)
| ! [X81] :
( ? [X82] :
( ~ p103(X82)
& r1(X81,X82) )
| ~ p603(X81)
| ~ r1(X1,X81) ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X1] :
( ~ sP19(X1)
| ! [X79] :
( ? [X80] :
( ~ p203(X80)
& r1(X79,X80) )
| ~ p303(X79)
| ~ r1(X1,X79) ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X1] :
( ~ sP20(X1)
| ! [X77] :
( ? [X78] :
( ~ p203(X78)
& r1(X77,X78) )
| ~ p403(X77)
| ~ r1(X1,X77) ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f32,definition,
! [X1] :
( ~ sP21(X1)
| ! [X75] :
( ? [X76] :
( ~ p203(X76)
& r1(X75,X76) )
| ~ p503(X75)
| ~ r1(X1,X75) ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f33,definition,
! [X1] :
( ~ sP22(X1)
| ! [X73] :
( ? [X74] :
( ~ p203(X74)
& r1(X73,X74) )
| ~ p603(X73)
| ~ r1(X1,X73) ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f34,definition,
! [X1] :
( ~ sP23(X1)
| ! [X59] :
( ? [X60] :
( ~ p104(X60)
& r1(X59,X60) )
| ~ p404(X59)
| ~ r1(X1,X59) ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f35,definition,
! [X1] :
( ~ sP24(X1)
| ! [X57] :
( ? [X58] :
( ~ p104(X58)
& r1(X57,X58) )
| ~ p504(X57)
| ~ r1(X1,X57) ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f36,definition,
! [X1] :
( ~ sP25(X1)
| ! [X55] :
( ? [X56] :
( ~ p104(X56)
& r1(X55,X56) )
| ~ p604(X55)
| ~ r1(X1,X55) ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f37,definition,
! [X1] :
( ~ sP26(X1)
| ! [X50] :
( ? [X51] :
( ~ p204(X51)
& r1(X50,X51) )
| ~ p404(X50)
| ~ r1(X1,X50) ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f38,definition,
! [X1] :
( ~ sP27(X1)
| ! [X48] :
( ? [X49] :
( ~ p204(X49)
& r1(X48,X49) )
| ~ p504(X48)
| ~ r1(X1,X48) ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f39,definition,
! [X1] :
( ~ sP28(X1)
| ! [X46] :
( ? [X47] :
( ~ p204(X47)
& r1(X46,X47) )
| ~ p604(X46)
| ~ r1(X1,X46) ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f40,definition,
! [X1] :
( ~ sP29(X1)
| ! [X44] :
( ? [X45] :
( ~ p304(X45)
& r1(X44,X45) )
| ~ p404(X44)
| ~ r1(X1,X44) ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f41,definition,
! [X1] :
( ~ sP30(X1)
| ! [X42] :
( ? [X43] :
( ~ p304(X43)
& r1(X42,X43) )
| ~ p504(X42)
| ~ r1(X1,X42) ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f42,definition,
! [X1] :
( ~ sP31(X1)
| ! [X40] :
( ? [X41] :
( ~ p304(X41)
& r1(X40,X41) )
| ~ p604(X40)
| ~ r1(X1,X40) ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f43,definition,
! [X1] :
( ~ sP32(X1)
| ! [X26] :
( ? [X27] :
( ~ p105(X27)
& r1(X26,X27) )
| ~ p505(X26)
| ~ r1(X1,X26) ) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f44,definition,
! [X1] :
( ~ sP33(X1)
| ! [X24] :
( ? [X25] :
( ~ p105(X25)
& r1(X24,X25) )
| ~ p605(X24)
| ~ r1(X1,X24) ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f45,definition,
! [X1] :
( ~ sP34(X1)
| ! [X16] :
( ? [X17] :
( ~ p205(X17)
& r1(X16,X17) )
| ~ p505(X16)
| ~ r1(X1,X16) ) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f46,definition,
! [X1] :
( ~ sP35(X1)
| ! [X14] :
( ? [X15] :
( ~ p205(X15)
& r1(X14,X15) )
| ~ p605(X14)
| ~ r1(X1,X14) ) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f47,definition,
! [X1] :
( ~ sP36(X1)
| ! [X9] :
( ? [X10] :
( ~ p305(X10)
& r1(X9,X10) )
| ~ p505(X9)
| ~ r1(X1,X9) ) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f48,definition,
! [X1] :
( ~ sP37(X1)
| ! [X7] :
( ? [X8] :
( ~ p305(X8)
& r1(X7,X8) )
| ~ p605(X7)
| ~ r1(X1,X7) ) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f49,definition,
! [X1] :
( ~ sP38(X1)
| ! [X5] :
( ? [X6] :
( ~ p405(X6)
& r1(X5,X6) )
| ~ p505(X5)
| ~ r1(X1,X5) ) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f50,definition,
! [X1] :
( ~ sP39(X1)
| ! [X3] :
( ? [X4] :
( ~ p405(X4)
& r1(X3,X4) )
| ~ p605(X3)
| ~ r1(X1,X3) ) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f51,definition,
! [X1] :
( ~ sP40(X1)
| ( ! [X126] :
( ~ p101(X126)
| ~ p201(X126)
| ~ r1(X1,X126) )
& ! [X125] :
( ~ p101(X125)
| ~ p301(X125)
| ~ r1(X1,X125) )
& ! [X124] :
( ~ p101(X124)
| ~ p401(X124)
| ~ r1(X1,X124) )
& ! [X123] :
( ~ p101(X123)
| ~ p501(X123)
| ~ r1(X1,X123) )
& ! [X122] :
( ~ p101(X122)
| ~ p601(X122)
| ~ r1(X1,X122) )
& ! [X121] :
( ~ p201(X121)
| ~ p301(X121)
| ~ r1(X1,X121) )
& ! [X120] :
( ~ p201(X120)
| ~ p401(X120)
| ~ r1(X1,X120) )
& ! [X119] :
( ~ p201(X119)
| ~ p501(X119)
| ~ r1(X1,X119) )
& ! [X118] :
( ~ p201(X118)
| ~ p601(X118)
| ~ r1(X1,X118) )
& ! [X117] :
( ~ p301(X117)
| ~ p401(X117)
| ~ r1(X1,X117) )
& ! [X116] :
( ~ p301(X116)
| ~ p501(X116)
| ~ r1(X1,X116) )
& ! [X115] :
( ~ p301(X115)
| ~ p601(X115)
| ~ r1(X1,X115) )
& ! [X114] :
( ~ p401(X114)
| ~ p501(X114)
| ~ r1(X1,X114) )
& ! [X113] :
( ~ p401(X113)
| ~ p601(X113)
| ~ r1(X1,X113) )
& ! [X112] :
( ~ p501(X112)
| ~ p601(X112)
| ~ r1(X1,X112) )
& sP10(X1)
& sP11(X1)
& sP12(X1)
& sP13(X1)
& sP14(X1)
& ! [X101] :
( ~ p202(X101)
| ~ p302(X101)
| ~ r1(X1,X101) )
& ! [X100] :
( ~ p202(X100)
| ~ p402(X100)
| ~ r1(X1,X100) )
& ! [X99] :
( ~ p202(X99)
| ~ p502(X99)
| ~ r1(X1,X99) )
& ! [X98] :
( ~ p202(X98)
| ~ p602(X98)
| ~ r1(X1,X98) )
& ! [X97] :
( ~ p302(X97)
| ~ p402(X97)
| ~ r1(X1,X97) )
& ! [X96] :
( ~ p302(X96)
| ~ p502(X96)
| ~ r1(X1,X96) )
& ! [X95] :
( ~ p302(X95)
| ~ p602(X95)
| ~ r1(X1,X95) )
& ! [X94] :
( ~ p402(X94)
| ~ p502(X94)
| ~ r1(X1,X94) )
& ! [X93] :
( ~ p402(X93)
| ~ p602(X93)
| ~ r1(X1,X93) )
& ! [X92] :
( ~ p502(X92)
| ~ p602(X92)
| ~ r1(X1,X92) )
& sP0(X1)
& sP15(X1)
& sP16(X1)
& sP17(X1)
& sP18(X1)
& sP19(X1)
& sP20(X1)
& sP21(X1)
& sP22(X1)
& ! [X72] :
( ~ p303(X72)
| ~ p403(X72)
| ~ r1(X1,X72) )
& ! [X71] :
( ~ p303(X71)
| ~ p503(X71)
| ~ r1(X1,X71) )
& ! [X70] :
( ~ p303(X70)
| ~ p603(X70)
| ~ r1(X1,X70) )
& ! [X69] :
( ~ p403(X69)
| ~ p503(X69)
| ~ r1(X1,X69) )
& ! [X68] :
( ~ p403(X68)
| ~ p603(X68)
| ~ r1(X1,X68) )
& ! [X67] :
( ~ p503(X67)
| ~ p603(X67)
| ~ r1(X1,X67) )
& sP1(X1)
& sP2(X1)
& sP23(X1)
& sP24(X1)
& sP25(X1)
& sP3(X1)
& sP26(X1)
& sP27(X1)
& sP28(X1)
& sP29(X1)
& sP30(X1)
& sP31(X1)
& ! [X39] :
( ~ p404(X39)
| ~ p504(X39)
| ~ r1(X1,X39) )
& ! [X38] :
( ~ p404(X38)
| ~ p604(X38)
| ~ r1(X1,X38) )
& ! [X37] :
( ~ p504(X37)
| ~ p604(X37)
| ~ r1(X1,X37) )
& sP4(X1)
& sP5(X1)
& sP6(X1)
& sP32(X1)
& sP33(X1)
& sP7(X1)
& sP8(X1)
& sP34(X1)
& sP35(X1)
& sP9(X1)
& sP36(X1)
& sP37(X1)
& sP38(X1)
& sP39(X1)
& ! [X2] :
( ~ p505(X2)
| ~ p605(X2)
| ~ r1(X1,X2) ) ) ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f52,plain,
? [X0] :
( ( p101(X0)
| ! [X136] :
( p102(X136)
| ~ r1(X0,X136) )
| ! [X135] :
( p103(X135)
| ~ r1(X0,X135) )
| ! [X134] :
( p104(X134)
| ~ r1(X0,X134) )
| ! [X133] :
( p105(X133)
| ~ r1(X0,X133) ) )
& ( p201(X0)
| p202(X0)
| ! [X132] :
( p203(X132)
| ~ r1(X0,X132) )
| ! [X131] :
( p204(X131)
| ~ r1(X0,X131) )
| ! [X130] :
( p205(X130)
| ~ r1(X0,X130) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X129] :
( p304(X129)
| ~ r1(X0,X129) )
| ! [X128] :
( p305(X128)
| ~ r1(X0,X128) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X127] :
( p405(X127)
| ~ r1(X0,X127) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X1] :
( sP40(X1)
| ~ r1(X0,X1) ) ),
inference(definition_folding,[],[f8,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f172,plain,
! [X1] :
( ~ sP0(X1)
| ! [X89] :
( ? [X91] :
( ~ p103(X91)
& r1(X89,X91) )
| ? [X90] :
( ~ p203(X90)
& r1(X89,X90) )
| ~ r1(X1,X89) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f173,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ? [X3] :
( ~ p103(X3)
& r1(X1,X3) )
| ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f172]) ).
fof(f174,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ( ~ p103(sK90(X1))
& r1(X1,sK90(X1)) )
| ( ~ p203(sK89(X1))
& r1(X1,sK89(X1)) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89,sK90]),skolemize(X2,sK89(X1)),skolemize(X3,sK90(X1))],[f173]) ).
fof(f348,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ p103(sK90(X1))
| ~ p203(sK89(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f349,plain,
! [X0,X1] :
( ~ sP0(X0)
| r1(X1,sK90(X1))
| ~ p203(sK89(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f350,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ p103(sK90(X1))
| r1(X1,sK89(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f351,plain,
! [X0,X1] :
( ~ sP0(X0)
| r1(X1,sK90(X1))
| r1(X1,sK89(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK90(X1))
| r1(X1,sK89(X1))
| ~ sP0(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK89(X1))
| ~ sP0(X0)
| ~ p103(sK90(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK90(X1))
| ~ sP0(X0)
| ~ p203(sK89(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( ~ sP0(X0)
| ~ p103(sK90(X1))
| ~ p203(sK89(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_3474,plain,
! [X0: $i,X1: $i] :
( ~ sP40(X0)
| ~ p103(sK90(X1))
| ~ p203(sK89(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_93,c_223]) ).
tcf(c_3488,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK90(X1))
| ~ sP40(X0)
| ~ p203(sK89(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_93,c_222]) ).
tcf(c_3502,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK89(X1))
| ~ sP40(X0)
| ~ p103(sK90(X1))
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_93,c_221]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK90(X1))
| r1(X1,sK89(X1))
| ~ sP40(X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_93,c_220]) ).
tcf(c_14475,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK90(X1))
| r1(X1,sK89(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3516]) ).
tcf(c_14476,plain,
( r1(sK91,sK90(sK91))
| r1(sK91,sK89(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14475]) ).
tcf(c_14489,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK89(X1))
| ~ p103(sK90(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3502]) ).
tcf(c_14490,plain,
( r1(sK91,sK89(sK91))
| ~ p103(sK90(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14489]) ).
tcf(c_14503,plain,
! [X0: $i,X1: $i] :
( r1(X1,sK90(X1))
| ~ p203(sK89(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3488]) ).
tcf(c_14504,plain,
( r1(sK91,sK90(sK91))
| ~ p203(sK89(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14503]) ).
tcf(c_14517,plain,
! [X0: $i,X1: $i] :
( ~ p103(sK90(X1))
| ~ p203(sK89(X1))
| ~ r1(sK91,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_224,c_3474]) ).
tcf(c_14518,plain,
( ~ p103(sK90(sK91))
| ~ p203(sK89(sK91))
| ~ r1(sK91,sK91) ),
inference(instantiation,[status(thm)],[c_14517]) ).
tcf(c_30614,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_30610,c_30598,c_30596,c_30594,c_30592,c_30590,c_30588,c_30586,c_30584,c_30582,c_30580,c_30578,c_30576,c_30570,c_30568,c_30561,c_30559,c_30557,c_30555,c_30553,c_30551,c_30547,c_30545,c_30543,c_30538,c_30537,c_30535,c_30533,c_30531,c_30524,c_30522,c_30520,c_30518,c_30516,c_30514,c_30513,c_30508,c_30506,c_30504,c_30502,c_30500,c_30498,c_30496,c_30494,c_30492,c_30490,c_30488,c_30486,c_30484,c_30482,c_30455,c_30454,c_30453,c_30448,c_30447,c_30457,c_30456,c_30450,c_30449,c_30446,c_30445,c_30444,c_30480,c_30469,c_30466,c_30462,c_21532,c_21453,c_21444,c_16030,c_16016,c_16002,c_15988,c_15974,c_15960,c_15946,c_15932,c_15918,c_15904,c_15890,c_15876,c_15862,c_15848,c_15834,c_15820,c_15806,c_15792,c_15778,c_15764,c_15750,c_15736,c_15722,c_15708,c_15694,c_15680,c_15666,c_15652,c_15638,c_15624,c_15610,c_15596,c_15582,c_15568,c_15554,c_15540,c_15526,c_15512,c_15498,c_15484,c_15470,c_15456,c_15442,c_15428,c_15414,c_15400,c_15386,c_15372,c_15358,c_15344,c_15330,c_15316,c_15302,c_15288,c_15274,c_15260,c_15246,c_15232,c_15218,c_15204,c_15190,c_15176,c_15162,c_15148,c_15134,c_15120,c_15106,c_15092,c_15078,c_15064,c_15050,c_15036,c_15022,c_15008,c_14994,c_14980,c_14966,c_14952,c_14938,c_14924,c_14910,c_14896,c_14882,c_14868,c_14854,c_14840,c_14826,c_14812,c_14798,c_14784,c_14770,c_14756,c_14742,c_14728,c_14714,c_14700,c_14686,c_14672,c_14658,c_14644,c_14630,c_14616,c_14602,c_14588,c_14574,c_14560,c_14546,c_14532,c_14518,c_14504,c_14490,c_14476,c_11430,c_11411,c_11392,c_11368,c_11349,c_11272,c_11234,c_11157,c_11138,c_11075,c_11048,c_11009,c_10990,c_10927,c_10899,c_10703,c_10679,c_10655,c_8213,c_8212,c_8194,c_8193,c_8175,c_8130,c_8111,c_8110,c_8068,c_8013,c_8012,c_7975,c_7951,c_7876,c_7857,c_7756,c_7737,c_3693,c_3666,c_3585,c_3566,c_298,c_297,c_296,c_295,c_293,c_292,c_279,c_278,c_225,c_226,c_274,c_233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL684+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.42 % Computer : n005.cluster.edu
% 0.16/5.42 % Model : x86_64 x86_64
% 0.16/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.42 % Memory : 8046.5625MB
% 0.16/5.42 % OS : Linux 6.8.0-71-generic
% 0.16/5.42 % CPULimit : 300
% 0.16/5.42 % WCLimit : 300
% 0.16/5.42 % DateTime : Thu Sep 24 00:18:53 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.48 Running first-order theorem proving
% 0.16/5.48 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.49
% 0.16/5.49 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.49
% 0.16/5.50 % Detected problem language: tptp
% 0.20/5.51 % Proving...
% 4.23/6.85 % SZS status Started for theBenchmark.p
% 4.23/6.85 % SZS status Theorem for theBenchmark.p
% 4.23/6.85
% 4.23/6.85 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.23/6.85
% 4.23/6.85 % ------ iProver source info
% 4.23/6.85
% 4.23/6.85 % git: date: 2026-07-19 20:42:38 +0200
% 4.23/6.85 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.23/6.85 % git: non_committed_changes: false
% 4.23/6.85
% 4.23/6.85 % ------ Parsing...
% 4.23/6.85 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.23/6.85
% 4.23/6.85 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.23/6.85
% 4.23/6.85 % ------ Preprocessing... gs_s sp: 38 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.23/6.85 % ------ Proving...
% 4.23/6.85 % ------ Problem Properties
% 4.23/6.85
% 4.23/6.85 %
% 4.23/6.85 % clauses 182
% 4.23/6.85 % conjectures 12
% 4.23/6.85 % EPR 64
% 4.23/6.85 % Horn 115
% 4.23/6.85 % unary 1
% 4.23/6.85 % binary 0
% 4.23/6.85 % lits 842
% 4.23/6.85 % lits eq 0
% 4.23/6.85 % fd_pure 0
% 4.23/6.85 % fd_pseudo 0
% 4.23/6.85 % fd_cond 0
% 4.23/6.85 % fd_pseudo_cond 0
% 4.23/6.85 % AC symbols 0
% 4.23/6.85
% 4.23/6.85 % ------ Schedule dynamic 5 is on
% 4.23/6.85
% 4.23/6.85 % ------ no equalities: superposition off
% 4.23/6.85
% 4.23/6.85 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.23/6.85
% 4.23/6.85
% 4.23/6.85 % ------
% 4.23/6.85 % Current options:
% 4.23/6.85 % ------
% 4.23/6.85
% 4.23/6.85
% 4.23/6.85 %
% 4.23/6.85
% 4.23/6.85 % ------ Proving...
% 4.23/6.85 %
% 4.23/6.85
% 4.23/6.85 % SZS status Theorem for theBenchmark.p
% 4.23/6.85
% 4.23/6.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.23/6.87
% 4.23/6.87
%------------------------------------------------------------------------------