%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL684+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:16:10 PM UTC 2026
% Result : Theorem 5.23s 1.21s
% Output : CNFRefutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 602 ( 5 unt; 0 def)
% Number of atoms : 4633 ( 0 equ)
% Maximal formula atoms : 540 ( 7 avg)
% Number of connectives : 7224 (3193 ~;3563 |; 456 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 215 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 42 ( 41 usr; 10 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 1 con; 0-2 aty)
% Number of variables : 1291 ( 0 sgn 639 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p105(X2)
| ~ r1(X1,X2) ) )
& ( p201(X1)
| p202(X1)
| ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p205(X2)
| ~ r1(X1,X2) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) ) )
| ~ ! [X2] :
( ~ ( ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p301(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p301(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p401(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p401(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p501(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p202(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p302(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p302(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p402(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p402(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p502(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p203(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p303(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p303(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p403(X1)
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p403(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p503(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p204(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p304(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p304(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p404(X1)
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p404(X1)
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p504(X1)
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p205(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p405(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p405(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p505(X1)
& p605(X1) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X2,X3)
& r1(X1,X2) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(X2)
<=> ~ ( ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p301(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p301(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p401(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p401(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p501(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p202(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p302(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p302(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p402(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p402(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p502(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p203(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p303(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p303(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p403(X1)
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p403(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p503(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p204(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p304(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p304(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p404(X1)
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p404(X1)
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p504(X1)
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p205(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p405(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p405(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p505(X1)
& p605(X1) )
| ~ r1(X2,X1) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p105(X2)
| ~ r1(X1,X2) ) )
& ( p201(X1)
| p202(X1)
| ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p205(X2)
| ~ r1(X1,X2) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) ) )
| ~ ! [X2] :
( ~ ( ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p301(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p301(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p401(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p401(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p501(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p202(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p302(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p302(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p402(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p402(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p502(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p203(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p303(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p303(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p403(X1)
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p403(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p503(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p204(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p304(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p304(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p404(X1)
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p404(X1)
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p504(X1)
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p205(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p405(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p405(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p505(X1)
& p605(X1) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_5,plain,
! [X2] :
( epred1_1(X2)
=> ~ ( ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p301(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p301(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p201(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p401(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p301(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p401(X1)
& p501(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p401(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p501(X1)
& p601(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p202(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p302(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p302(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p202(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p402(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p302(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p402(X1)
& p502(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p402(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p502(X1)
& p602(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p203(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p303(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p303(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p403(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p303(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p403(X1)
& p503(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p403(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p503(X1)
& p603(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p204(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p304(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p304(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p404(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p404(X1)
& p504(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p404(X1)
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p504(X1)
& p604(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p205(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p105(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p205(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p305(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p405(X2)
| ~ r1(X1,X2) )
& p505(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( p405(X2)
| ~ r1(X1,X2) )
& p605(X1) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( p505(X1)
& p605(X1) )
| ~ r1(X2,X1) ) ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_6,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( ( p101(X1)
| ! [X2] :
( p102(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p103(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p104(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p105(X2)
| ~ r1(X1,X2) ) )
& ( p201(X1)
| p202(X1)
| ! [X2] :
( p203(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p204(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p205(X2)
| ~ r1(X1,X2) ) )
& ( p301(X1)
| p302(X1)
| p303(X1)
| ! [X2] :
( p304(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p305(X2)
| ~ r1(X1,X2) ) )
& ( p401(X1)
| p402(X1)
| p403(X1)
| p404(X1)
| ! [X2] :
( p405(X2)
| ~ r1(X1,X2) ) )
& ( p501(X1)
| p502(X1)
| p503(X1)
| p504(X1)
| p505(X1) )
& ( p601(X1)
| p602(X1)
| p603(X1)
| p604(X1)
| p605(X1) ) )
| ~ ! [X2] :
( epred1_1(X2)
| ~ r1(X1,X2) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4]),c_0_3]) ).
fof(c_0_7,plain,
! [X20,X21,X22,X24,X26,X28,X30,X33,X35,X37,X40,X43,X45,X47,X50,X53,X56,X57,X58,X59,X61,X63,X65,X67,X69,X71,X74,X76,X78,X80,X83,X86,X87,X88,X89,X90,X91,X92,X94,X96,X98,X100,X102,X104,X106,X108,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X123,X125,X127,X129,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145] :
( ( ~ epred1_1(X20)
| ~ p101(X145)
| ~ p201(X145)
| ~ r1(X20,X145) )
& ( ~ epred1_1(X20)
| ~ p101(X144)
| ~ p301(X144)
| ~ r1(X20,X144) )
& ( ~ epred1_1(X20)
| ~ p101(X143)
| ~ p401(X143)
| ~ r1(X20,X143) )
& ( ~ epred1_1(X20)
| ~ p101(X142)
| ~ p501(X142)
| ~ r1(X20,X142) )
& ( ~ epred1_1(X20)
| ~ p101(X141)
| ~ p601(X141)
| ~ r1(X20,X141) )
& ( ~ epred1_1(X20)
| ~ p201(X140)
| ~ p301(X140)
| ~ r1(X20,X140) )
& ( ~ epred1_1(X20)
| ~ p201(X139)
| ~ p401(X139)
| ~ r1(X20,X139) )
& ( ~ epred1_1(X20)
| ~ p201(X138)
| ~ p501(X138)
| ~ r1(X20,X138) )
& ( ~ epred1_1(X20)
| ~ p201(X137)
| ~ p601(X137)
| ~ r1(X20,X137) )
& ( ~ epred1_1(X20)
| ~ p301(X136)
| ~ p401(X136)
| ~ r1(X20,X136) )
& ( ~ epred1_1(X20)
| ~ p301(X135)
| ~ p501(X135)
| ~ r1(X20,X135) )
& ( ~ epred1_1(X20)
| ~ p301(X134)
| ~ p601(X134)
| ~ r1(X20,X134) )
& ( ~ epred1_1(X20)
| ~ p401(X133)
| ~ p501(X133)
| ~ r1(X20,X133) )
& ( ~ epred1_1(X20)
| ~ p401(X132)
| ~ p601(X132)
| ~ r1(X20,X132) )
& ( ~ epred1_1(X20)
| ~ p501(X131)
| ~ p601(X131)
| ~ r1(X20,X131) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X129)
| ~ p202(X129)
| ~ p102(esk51_2(X20,X129)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X129)
| ~ p202(X129)
| r1(X129,esk51_2(X20,X129)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X127)
| ~ p302(X127)
| ~ p102(esk50_2(X20,X127)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X127)
| ~ p302(X127)
| r1(X127,esk50_2(X20,X127)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X125)
| ~ p402(X125)
| ~ p102(esk49_2(X20,X125)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X125)
| ~ p402(X125)
| r1(X125,esk49_2(X20,X125)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X123)
| ~ p502(X123)
| ~ p102(esk48_2(X20,X123)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X123)
| ~ p502(X123)
| r1(X123,esk48_2(X20,X123)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X121)
| ~ p602(X121)
| ~ p102(esk47_2(X20,X121)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X121)
| ~ p602(X121)
| r1(X121,esk47_2(X20,X121)) )
& ( ~ epred1_1(X20)
| ~ p202(X120)
| ~ p302(X120)
| ~ r1(X20,X120) )
& ( ~ epred1_1(X20)
| ~ p202(X119)
| ~ p402(X119)
| ~ r1(X20,X119) )
& ( ~ epred1_1(X20)
| ~ p202(X118)
| ~ p502(X118)
| ~ r1(X20,X118) )
& ( ~ epred1_1(X20)
| ~ p202(X117)
| ~ p602(X117)
| ~ r1(X20,X117) )
& ( ~ epred1_1(X20)
| ~ p302(X116)
| ~ p402(X116)
| ~ r1(X20,X116) )
& ( ~ epred1_1(X20)
| ~ p302(X115)
| ~ p502(X115)
| ~ r1(X20,X115) )
& ( ~ epred1_1(X20)
| ~ p302(X114)
| ~ p602(X114)
| ~ r1(X20,X114) )
& ( ~ epred1_1(X20)
| ~ p402(X113)
| ~ p502(X113)
| ~ r1(X20,X113) )
& ( ~ epred1_1(X20)
| ~ p402(X112)
| ~ p602(X112)
| ~ r1(X20,X112) )
& ( ~ epred1_1(X20)
| ~ p502(X111)
| ~ p602(X111)
| ~ r1(X20,X111) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X108)
| ~ p203(esk45_2(X20,X108))
| ~ p103(esk46_2(X20,X108)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X108)
| ~ p203(esk45_2(X20,X108))
| r1(X108,esk46_2(X20,X108)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X108)
| r1(X108,esk45_2(X20,X108))
| ~ p103(esk46_2(X20,X108)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X108)
| r1(X108,esk45_2(X20,X108))
| r1(X108,esk46_2(X20,X108)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X106)
| ~ p303(X106)
| ~ p103(esk44_2(X20,X106)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X106)
| ~ p303(X106)
| r1(X106,esk44_2(X20,X106)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X104)
| ~ p403(X104)
| ~ p103(esk43_2(X20,X104)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X104)
| ~ p403(X104)
| r1(X104,esk43_2(X20,X104)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X102)
| ~ p503(X102)
| ~ p103(esk42_2(X20,X102)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X102)
| ~ p503(X102)
| r1(X102,esk42_2(X20,X102)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X100)
| ~ p603(X100)
| ~ p103(esk41_2(X20,X100)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X100)
| ~ p603(X100)
| r1(X100,esk41_2(X20,X100)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X98)
| ~ p303(X98)
| ~ p203(esk40_2(X20,X98)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X98)
| ~ p303(X98)
| r1(X98,esk40_2(X20,X98)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X96)
| ~ p403(X96)
| ~ p203(esk39_2(X20,X96)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X96)
| ~ p403(X96)
| r1(X96,esk39_2(X20,X96)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X94)
| ~ p503(X94)
| ~ p203(esk38_2(X20,X94)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X94)
| ~ p503(X94)
| r1(X94,esk38_2(X20,X94)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X92)
| ~ p603(X92)
| ~ p203(esk37_2(X20,X92)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X92)
| ~ p603(X92)
| r1(X92,esk37_2(X20,X92)) )
& ( ~ epred1_1(X20)
| ~ p303(X91)
| ~ p403(X91)
| ~ r1(X20,X91) )
& ( ~ epred1_1(X20)
| ~ p303(X90)
| ~ p503(X90)
| ~ r1(X20,X90) )
& ( ~ epred1_1(X20)
| ~ p303(X89)
| ~ p603(X89)
| ~ r1(X20,X89) )
& ( ~ epred1_1(X20)
| ~ p403(X88)
| ~ p503(X88)
| ~ r1(X20,X88) )
& ( ~ epred1_1(X20)
| ~ p403(X87)
| ~ p603(X87)
| ~ r1(X20,X87) )
& ( ~ epred1_1(X20)
| ~ p503(X86)
| ~ p603(X86)
| ~ r1(X20,X86) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X83)
| ~ p204(esk35_2(X20,X83))
| ~ p104(esk36_2(X20,X83)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X83)
| ~ p204(esk35_2(X20,X83))
| r1(X83,esk36_2(X20,X83)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X83)
| r1(X83,esk35_2(X20,X83))
| ~ p104(esk36_2(X20,X83)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X83)
| r1(X83,esk35_2(X20,X83))
| r1(X83,esk36_2(X20,X83)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X80)
| ~ p304(esk33_2(X20,X80))
| ~ p104(esk34_2(X20,X80)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X80)
| ~ p304(esk33_2(X20,X80))
| r1(X80,esk34_2(X20,X80)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X80)
| r1(X80,esk33_2(X20,X80))
| ~ p104(esk34_2(X20,X80)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X80)
| r1(X80,esk33_2(X20,X80))
| r1(X80,esk34_2(X20,X80)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X78)
| ~ p404(X78)
| ~ p104(esk32_2(X20,X78)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X78)
| ~ p404(X78)
| r1(X78,esk32_2(X20,X78)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X76)
| ~ p504(X76)
| ~ p104(esk31_2(X20,X76)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X76)
| ~ p504(X76)
| r1(X76,esk31_2(X20,X76)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X74)
| ~ p604(X74)
| ~ p104(esk30_2(X20,X74)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X74)
| ~ p604(X74)
| r1(X74,esk30_2(X20,X74)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X71)
| ~ p304(esk28_2(X20,X71))
| ~ p204(esk29_2(X20,X71)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X71)
| ~ p304(esk28_2(X20,X71))
| r1(X71,esk29_2(X20,X71)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X71)
| r1(X71,esk28_2(X20,X71))
| ~ p204(esk29_2(X20,X71)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X71)
| r1(X71,esk28_2(X20,X71))
| r1(X71,esk29_2(X20,X71)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X69)
| ~ p404(X69)
| ~ p204(esk27_2(X20,X69)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X69)
| ~ p404(X69)
| r1(X69,esk27_2(X20,X69)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X67)
| ~ p504(X67)
| ~ p204(esk26_2(X20,X67)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X67)
| ~ p504(X67)
| r1(X67,esk26_2(X20,X67)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X65)
| ~ p604(X65)
| ~ p204(esk25_2(X20,X65)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X65)
| ~ p604(X65)
| r1(X65,esk25_2(X20,X65)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X63)
| ~ p404(X63)
| ~ p304(esk24_2(X20,X63)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X63)
| ~ p404(X63)
| r1(X63,esk24_2(X20,X63)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X61)
| ~ p504(X61)
| ~ p304(esk23_2(X20,X61)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X61)
| ~ p504(X61)
| r1(X61,esk23_2(X20,X61)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X59)
| ~ p604(X59)
| ~ p304(esk22_2(X20,X59)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X59)
| ~ p604(X59)
| r1(X59,esk22_2(X20,X59)) )
& ( ~ epred1_1(X20)
| ~ p404(X58)
| ~ p504(X58)
| ~ r1(X20,X58) )
& ( ~ epred1_1(X20)
| ~ p404(X57)
| ~ p604(X57)
| ~ r1(X20,X57) )
& ( ~ epred1_1(X20)
| ~ p504(X56)
| ~ p604(X56)
| ~ r1(X20,X56) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X53)
| ~ p205(esk20_2(X20,X53))
| ~ p105(esk21_2(X20,X53)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X53)
| ~ p205(esk20_2(X20,X53))
| r1(X53,esk21_2(X20,X53)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X53)
| r1(X53,esk20_2(X20,X53))
| ~ p105(esk21_2(X20,X53)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X53)
| r1(X53,esk20_2(X20,X53))
| r1(X53,esk21_2(X20,X53)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X50)
| ~ p305(esk18_2(X20,X50))
| ~ p105(esk19_2(X20,X50)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X50)
| ~ p305(esk18_2(X20,X50))
| r1(X50,esk19_2(X20,X50)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X50)
| r1(X50,esk18_2(X20,X50))
| ~ p105(esk19_2(X20,X50)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X50)
| r1(X50,esk18_2(X20,X50))
| r1(X50,esk19_2(X20,X50)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X47)
| ~ p405(esk16_2(X20,X47))
| ~ p105(esk17_2(X20,X47)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X47)
| ~ p405(esk16_2(X20,X47))
| r1(X47,esk17_2(X20,X47)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X47)
| r1(X47,esk16_2(X20,X47))
| ~ p105(esk17_2(X20,X47)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X47)
| r1(X47,esk16_2(X20,X47))
| r1(X47,esk17_2(X20,X47)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X45)
| ~ p505(X45)
| ~ p105(esk15_2(X20,X45)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X45)
| ~ p505(X45)
| r1(X45,esk15_2(X20,X45)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X43)
| ~ p605(X43)
| ~ p105(esk14_2(X20,X43)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X43)
| ~ p605(X43)
| r1(X43,esk14_2(X20,X43)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X40)
| ~ p305(esk12_2(X20,X40))
| ~ p205(esk13_2(X20,X40)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X40)
| ~ p305(esk12_2(X20,X40))
| r1(X40,esk13_2(X20,X40)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X40)
| r1(X40,esk12_2(X20,X40))
| ~ p205(esk13_2(X20,X40)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X40)
| r1(X40,esk12_2(X20,X40))
| r1(X40,esk13_2(X20,X40)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X37)
| ~ p405(esk10_2(X20,X37))
| ~ p205(esk11_2(X20,X37)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X37)
| ~ p405(esk10_2(X20,X37))
| r1(X37,esk11_2(X20,X37)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X37)
| r1(X37,esk10_2(X20,X37))
| ~ p205(esk11_2(X20,X37)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X37)
| r1(X37,esk10_2(X20,X37))
| r1(X37,esk11_2(X20,X37)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X35)
| ~ p505(X35)
| ~ p205(esk9_2(X20,X35)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X35)
| ~ p505(X35)
| r1(X35,esk9_2(X20,X35)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X33)
| ~ p605(X33)
| ~ p205(esk8_2(X20,X33)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X33)
| ~ p605(X33)
| r1(X33,esk8_2(X20,X33)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X30)
| ~ p405(esk6_2(X20,X30))
| ~ p305(esk7_2(X20,X30)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X30)
| ~ p405(esk6_2(X20,X30))
| r1(X30,esk7_2(X20,X30)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X30)
| r1(X30,esk6_2(X20,X30))
| ~ p305(esk7_2(X20,X30)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X30)
| r1(X30,esk6_2(X20,X30))
| r1(X30,esk7_2(X20,X30)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X28)
| ~ p505(X28)
| ~ p305(esk5_2(X20,X28)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X28)
| ~ p505(X28)
| r1(X28,esk5_2(X20,X28)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X26)
| ~ p605(X26)
| ~ p305(esk4_2(X20,X26)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X26)
| ~ p605(X26)
| r1(X26,esk4_2(X20,X26)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X24)
| ~ p505(X24)
| ~ p405(esk3_2(X20,X24)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X24)
| ~ p505(X24)
| r1(X24,esk3_2(X20,X24)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X22)
| ~ p605(X22)
| ~ p405(esk2_2(X20,X22)) )
& ( ~ epred1_1(X20)
| ~ r1(X20,X22)
| ~ p605(X22)
| r1(X22,esk2_2(X20,X22)) )
& ( ~ epred1_1(X20)
| ~ p505(X21)
| ~ p605(X21)
| ~ r1(X20,X21) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
fof(c_0_8,plain,
( ~ epred8_0
<=> ! [X3] :
( ~ r1(esk1_0,X3)
| p103(X3) ) ),
introduced(definition) ).
fof(c_0_9,plain,
( ~ epred7_0
<=> ! [X4] :
( ~ r1(esk1_0,X4)
| p101(esk1_0)
| p102(X4) ) ),
introduced(definition) ).
fof(c_0_10,negated_conjecture,
! [X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( p101(esk1_0)
| p102(X19)
| ~ r1(esk1_0,X19)
| p103(X18)
| ~ r1(esk1_0,X18)
| p104(X17)
| ~ r1(esk1_0,X17)
| p105(X16)
| ~ r1(esk1_0,X16) )
& ( p201(esk1_0)
| p202(esk1_0)
| p203(X15)
| ~ r1(esk1_0,X15)
| p204(X14)
| ~ r1(esk1_0,X14)
| p205(X13)
| ~ r1(esk1_0,X13) )
& ( p301(esk1_0)
| p302(esk1_0)
| p303(esk1_0)
| p304(X12)
| ~ r1(esk1_0,X12)
| p305(X11)
| ~ r1(esk1_0,X11) )
& ( p401(esk1_0)
| p402(esk1_0)
| p403(esk1_0)
| p404(esk1_0)
| p405(X10)
| ~ r1(esk1_0,X10) )
& ( p501(esk1_0)
| p502(esk1_0)
| p503(esk1_0)
| p504(esk1_0)
| p505(esk1_0) )
& ( p601(esk1_0)
| p602(esk1_0)
| p603(esk1_0)
| p604(esk1_0)
| p605(esk1_0) )
& ( epred1_1(X9)
| ~ r1(esk1_0,X9) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_11,plain,
! [X4] : r1(X4,X4),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_12,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p103(esk46_2(X1,X2))
| r1(X2,esk45_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(esk1_0,X1)
| p103(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p203(esk45_2(X1,X2))
| ~ p103(esk46_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
( ~ epred4_0
<=> ! [X3] :
( ~ r1(esk1_0,X3)
| p201(esk1_0)
| p202(esk1_0)
| p203(X3) ) ),
introduced(definition) ).
cnf(c_0_16,negated_conjecture,
( ~ r1(esk1_0,X1)
| p102(X1)
| p101(esk1_0)
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p402(X1)
| r1(X1,esk49_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p402(X2)
| ~ p102(esk49_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1(esk1_0,X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p502(X1)
| r1(X1,esk48_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p502(X2)
| ~ p102(esk48_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk46_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk45_2(X2,X1))
| epred8_0 ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_24,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk45_2(X2,X1))
| r1(X1,esk46_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk46_2(X1,X2))
| ~ p203(esk45_2(X1,X2))
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_26,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p203(esk45_2(X2,X1))
| r1(X1,esk46_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p302(X1)
| r1(X1,esk50_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p302(X2)
| ~ p102(esk50_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,negated_conjecture,
( ~ r1(esk1_0,X1)
| p203(X1)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
cnf(c_0_30,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p403(X1)
| r1(X1,esk39_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_31,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p403(X2)
| ~ p203(esk39_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p303(X1)
| r1(X1,esk40_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p303(X2)
| ~ p203(esk40_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_34,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p202(X1)
| r1(X1,esk51_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_35,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p202(X2)
| ~ p102(esk51_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p603(X1)
| r1(X1,esk37_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_37,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p603(X2)
| ~ p203(esk37_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_38,plain,
( ~ epred1_1(X1)
| ~ p101(X2)
| ~ p201(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_39,plain,
( ~ r1(X1,esk1_0)
| ~ p402(esk1_0)
| ~ epred1_1(X1)
| p101(esk1_0)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_40,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_41,plain,
( ~ r1(X1,esk1_0)
| ~ p502(esk1_0)
| ~ epred1_1(X1)
| p101(esk1_0)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_21]),c_0_22]) ).
cnf(c_0_42,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p503(X1)
| r1(X1,esk38_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_43,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p503(X2)
| ~ p203(esk38_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_44,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p602(X1)
| r1(X1,esk47_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_45,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p602(X2)
| ~ p102(esk47_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_46,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk45_2(X1,esk1_0))
| epred8_0 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_47,plain,
( ~ r1(X1,esk1_0)
| ~ p203(esk45_2(X1,esk1_0))
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_48,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ r1(esk1_0,X2)
| p301(esk1_0)
| p302(esk1_0)
| p303(esk1_0)
| p304(X2) ) ),
introduced(definition) ).
cnf(c_0_49,plain,
( ~ r1(X1,esk1_0)
| ~ p302(esk1_0)
| ~ epred1_1(X1)
| p101(esk1_0)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_27]),c_0_28]) ).
fof(c_0_50,plain,
( ~ epred10_0
<=> ! [X1] :
( ~ r1(esk1_0,X1)
| p105(X1) ) ),
introduced(definition) ).
fof(c_0_51,plain,
( ~ epred9_0
<=> ! [X2] :
( ~ r1(esk1_0,X2)
| p104(X2) ) ),
introduced(definition) ).
fof(c_0_52,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ r1(esk1_0,X1)
| p205(X1) ) ),
introduced(definition) ).
fof(c_0_53,plain,
! [X5,X6,X7] :
( r1(X5,X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])])]) ).
fof(c_0_54,plain,
( ~ epred5_0
<=> ! [X2] :
( ~ r1(esk1_0,X2)
| p204(X2) ) ),
introduced(definition) ).
fof(c_0_55,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ r1(esk1_0,X1)
| p305(X1) ) ),
introduced(definition) ).
cnf(c_0_56,plain,
( ~ epred1_1(X1)
| ~ p201(X2)
| ~ p501(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_57,plain,
( ~ r1(X1,esk1_0)
| ~ p403(esk1_0)
| ~ epred1_1(X1)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_58,plain,
( ~ epred1_1(X1)
| ~ p201(X2)
| ~ p401(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_59,plain,
( ~ r1(X1,esk1_0)
| ~ p303(esk1_0)
| ~ epred1_1(X1)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_33]) ).
cnf(c_0_60,negated_conjecture,
( ~ r1(esk1_0,X1)
| p401(esk1_0)
| p402(esk1_0)
| p403(esk1_0)
| p404(esk1_0)
| p405(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_61,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p505(X1)
| r1(X1,esk3_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_62,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p505(X2)
| ~ p405(esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_63,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p605(X1)
| r1(X1,esk2_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_64,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p605(X2)
| ~ p405(esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_65,plain,
( ~ epred1_1(X1)
| ~ p101(X2)
| ~ p401(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_66,plain,
( ~ r1(X1,esk1_0)
| ~ p202(esk1_0)
| ~ epred1_1(X1)
| p101(esk1_0)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_34]),c_0_35]) ).
cnf(c_0_67,plain,
( ~ r1(X1,esk1_0)
| ~ p603(esk1_0)
| ~ epred1_1(X1)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_36]),c_0_37]) ).
cnf(c_0_68,plain,
( ~ p201(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_20]) ).
cnf(c_0_69,plain,
( ~ p402(esk1_0)
| p101(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_20]),c_0_40])]) ).
cnf(c_0_70,plain,
( ~ epred1_1(X1)
| ~ p101(X2)
| ~ p501(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_71,plain,
( ~ p502(esk1_0)
| p101(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_20]),c_0_40])]) ).
cnf(c_0_72,plain,
( ~ r1(X1,esk1_0)
| ~ p503(esk1_0)
| ~ epred1_1(X1)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_42]),c_0_43]) ).
cnf(c_0_73,plain,
( ~ r1(X1,esk1_0)
| ~ p602(esk1_0)
| ~ epred1_1(X1)
| p101(esk1_0)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_44]),c_0_45]) ).
cnf(c_0_74,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_46]),c_0_47]) ).
cnf(c_0_75,plain,
( ~ epred1_1(X1)
| ~ p201(X2)
| ~ p301(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_76,negated_conjecture,
( ~ r1(esk1_0,X1)
| p304(X1)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_48]) ).
cnf(c_0_77,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p604(X1)
| r1(X1,esk22_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_78,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p604(X2)
| ~ p304(esk22_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_79,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p504(X1)
| r1(X1,esk23_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_80,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p504(X2)
| ~ p304(esk23_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_81,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p404(X1)
| r1(X1,esk24_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_82,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p404(X2)
| ~ p304(esk24_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_83,plain,
( ~ epred1_1(X1)
| ~ p101(X2)
| ~ p301(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_84,plain,
( ~ p302(esk1_0)
| p101(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_20]),c_0_40])]) ).
cnf(c_0_85,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p305(esk18_2(X1,X2))
| ~ p105(esk19_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_86,negated_conjecture,
( ~ r1(esk1_0,X1)
| p105(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_50]) ).
cnf(c_0_87,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p205(esk20_2(X1,X2))
| ~ p105(esk21_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_88,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p204(esk35_2(X1,X2))
| ~ p104(esk36_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_89,negated_conjecture,
( ~ r1(esk1_0,X1)
| p104(X1)
| epred9_0 ),
inference(split_equiv,[status(thm)],[c_0_51]) ).
cnf(c_0_90,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p305(esk12_2(X1,X2))
| ~ p205(esk13_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_91,negated_conjecture,
( ~ r1(esk1_0,X1)
| p205(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_52]) ).
cnf(c_0_92,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p105(esk17_2(X1,X2))
| r1(X2,esk16_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_93,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X2)
| r1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_94,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk16_2(X2,X1))
| r1(X1,esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_95,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p104(esk34_2(X1,X2))
| r1(X2,esk33_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_96,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk33_2(X2,X1))
| r1(X1,esk34_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_97,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p205(esk11_2(X1,X2))
| r1(X2,esk10_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_98,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk10_2(X2,X1))
| r1(X1,esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_99,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p204(esk29_2(X1,X2))
| r1(X2,esk28_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_100,negated_conjecture,
( ~ r1(esk1_0,X1)
| p204(X1)
| epred5_0 ),
inference(split_equiv,[status(thm)],[c_0_54]) ).
cnf(c_0_101,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk28_2(X2,X1))
| r1(X1,esk29_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_102,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p305(esk7_2(X1,X2))
| r1(X2,esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_103,negated_conjecture,
( ~ r1(esk1_0,X1)
| p305(X1)
| epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_55]) ).
cnf(c_0_104,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk6_2(X2,X1))
| r1(X1,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_105,plain,
( ~ epred1_1(X1)
| ~ p201(X2)
| ~ p601(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_106,plain,
( ~ p501(X1)
| ~ p201(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_20]) ).
cnf(c_0_107,plain,
( ~ p403(esk1_0)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_20]),c_0_40])]) ).
cnf(c_0_108,plain,
( ~ p401(X1)
| ~ p201(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_20]) ).
cnf(c_0_109,plain,
( ~ p303(esk1_0)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_20]),c_0_40])]) ).
cnf(c_0_110,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ p505(esk1_0)
| ~ epred1_1(X1)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_111,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ p605(esk1_0)
| ~ epred1_1(X1)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_64]) ).
cnf(c_0_112,plain,
( ~ p401(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_20]) ).
cnf(c_0_113,plain,
( ~ p202(esk1_0)
| p101(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_20]),c_0_40])]) ).
cnf(c_0_114,plain,
( ~ p603(esk1_0)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_20]),c_0_40])]) ).
cnf(c_0_115,plain,
( ~ epred1_1(X1)
| ~ p202(X2)
| ~ p402(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_116,plain,
( ~ p402(esk1_0)
| ~ p201(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_40])]) ).
cnf(c_0_117,plain,
( ~ p501(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_20]) ).
cnf(c_0_118,plain,
( ~ epred1_1(X1)
| ~ p202(X2)
| ~ p502(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_119,plain,
( ~ p502(esk1_0)
| ~ p201(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_71]),c_0_40])]) ).
cnf(c_0_120,plain,
( ~ p503(esk1_0)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_20]),c_0_40])]) ).
cnf(c_0_121,plain,
( ~ epred1_1(X1)
| ~ p101(X2)
| ~ p601(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_122,plain,
( ~ p602(esk1_0)
| p101(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_20]),c_0_40])]) ).
cnf(c_0_123,negated_conjecture,
( p202(esk1_0)
| p201(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_20]),c_0_40])]) ).
cnf(c_0_124,plain,
( ~ p301(X1)
| ~ p201(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_20]) ).
cnf(c_0_125,plain,
( ~ r1(X1,esk1_0)
| ~ p604(esk1_0)
| ~ epred1_1(X1)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_126,plain,
( ~ r1(X1,esk1_0)
| ~ p504(esk1_0)
| ~ epred1_1(X1)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_79]),c_0_80]) ).
cnf(c_0_127,plain,
( ~ r1(X1,esk1_0)
| ~ p404(esk1_0)
| ~ epred1_1(X1)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_81]),c_0_82]) ).
cnf(c_0_128,plain,
( ~ p301(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_20]) ).
cnf(c_0_129,plain,
( ~ epred1_1(X1)
| ~ p202(X2)
| ~ p302(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_130,plain,
( ~ p302(esk1_0)
| ~ p201(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_84]),c_0_40])]) ).
cnf(c_0_131,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk19_2(X1,X2))
| ~ p305(esk18_2(X1,X2))
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_132,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p305(esk18_2(X2,X1))
| r1(X1,esk19_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_133,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p105(esk19_2(X1,X2))
| r1(X2,esk18_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_134,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk21_2(X1,X2))
| ~ p205(esk20_2(X1,X2))
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_87,c_0_86]) ).
cnf(c_0_135,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p205(esk20_2(X2,X1))
| r1(X1,esk21_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_136,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p105(esk21_2(X1,X2))
| r1(X2,esk20_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_137,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk36_2(X1,X2))
| ~ p204(esk35_2(X1,X2))
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_138,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p204(esk35_2(X2,X1))
| r1(X1,esk36_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_139,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p104(esk36_2(X1,X2))
| r1(X2,esk35_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_140,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk13_2(X1,X2))
| ~ p305(esk12_2(X1,X2))
| ~ epred1_1(X1)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_141,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p305(esk12_2(X2,X1))
| r1(X1,esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_142,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p205(esk13_2(X1,X2))
| r1(X2,esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_143,plain,
( ~ epred1_1(X1)
| ~ p301(X2)
| ~ p401(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_144,plain,
( ~ epred1_1(X1)
| ~ p301(X2)
| ~ p501(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_145,plain,
( ~ epred1_1(X1)
| ~ p301(X2)
| ~ p601(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_146,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk17_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk16_2(X2,X1))
| epred10_0 ),
inference(spm,[status(thm)],[c_0_92,c_0_86]) ).
cnf(c_0_147,plain,
( ~ r1(X2,X1)
| ~ r1(X3,X1)
| ~ epred1_1(X2)
| r1(X3,esk17_2(X2,X1))
| r1(X1,esk16_2(X2,X1)) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_148,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk34_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk33_2(X2,X1))
| epred9_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_89]) ).
cnf(c_0_149,plain,
( ~ r1(X2,X1)
| ~ r1(X3,X1)
| ~ epred1_1(X2)
| r1(X3,esk34_2(X2,X1))
| r1(X1,esk33_2(X2,X1)) ),
inference(spm,[status(thm)],[c_0_93,c_0_96]) ).
cnf(c_0_150,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk11_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk10_2(X2,X1))
| epred6_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_91]) ).
cnf(c_0_151,plain,
( ~ r1(X2,X1)
| ~ r1(X3,X1)
| ~ epred1_1(X2)
| r1(X3,esk11_2(X2,X1))
| r1(X1,esk10_2(X2,X1)) ),
inference(spm,[status(thm)],[c_0_93,c_0_98]) ).
cnf(c_0_152,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk29_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk28_2(X2,X1))
| epred5_0 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_153,plain,
( ~ r1(X2,X1)
| ~ r1(X3,X1)
| ~ epred1_1(X2)
| r1(X3,esk29_2(X2,X1))
| r1(X1,esk28_2(X2,X1)) ),
inference(spm,[status(thm)],[c_0_93,c_0_101]) ).
cnf(c_0_154,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk7_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk6_2(X2,X1))
| epred3_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_155,plain,
( ~ r1(X2,X1)
| ~ r1(X3,X1)
| ~ epred1_1(X2)
| r1(X3,esk7_2(X2,X1))
| r1(X1,esk6_2(X2,X1)) ),
inference(spm,[status(thm)],[c_0_93,c_0_104]) ).
cnf(c_0_156,plain,
( ~ epred1_1(X1)
| ~ p401(X2)
| ~ p601(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_157,plain,
( ~ epred1_1(X1)
| ~ p401(X2)
| ~ p501(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_158,plain,
( ~ epred1_1(X1)
| ~ p501(X2)
| ~ p601(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_159,plain,
( ~ p601(X1)
| ~ p201(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_20]) ).
cnf(c_0_160,plain,
( ~ epred1_1(X1)
| ~ p202(X2)
| ~ p602(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_161,plain,
( ~ p403(esk1_0)
| ~ p501(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_40])]) ).
cnf(c_0_162,negated_conjecture,
( p501(esk1_0)
| p502(esk1_0)
| p503(esk1_0)
| p504(esk1_0)
| p505(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_163,plain,
( ~ p303(esk1_0)
| ~ p401(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_40])]) ).
cnf(c_0_164,negated_conjecture,
( ~ p505(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_20]),c_0_40])]) ).
cnf(c_0_165,negated_conjecture,
( ~ p605(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_20]),c_0_40])]) ).
cnf(c_0_166,plain,
( ~ p202(esk1_0)
| ~ p401(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_40])]) ).
cnf(c_0_167,plain,
( ~ p603(esk1_0)
| ~ p401(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_114]),c_0_40])]) ).
cnf(c_0_168,plain,
( ~ p402(X1)
| ~ p202(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_20]) ).
cnf(c_0_169,plain,
( ~ p603(esk1_0)
| ~ p402(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_114]) ).
cnf(c_0_170,plain,
( ~ p202(esk1_0)
| ~ p501(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_113]),c_0_40])]) ).
cnf(c_0_171,plain,
( ~ p603(esk1_0)
| ~ p501(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_114]),c_0_40])]) ).
cnf(c_0_172,plain,
( ~ p502(X1)
| ~ p202(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_20]) ).
cnf(c_0_173,plain,
( ~ p603(esk1_0)
| ~ p502(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_114]) ).
cnf(c_0_174,plain,
( ~ p503(esk1_0)
| ~ p401(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_120]),c_0_40])]) ).
cnf(c_0_175,plain,
( ~ p503(esk1_0)
| ~ p402(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_120]) ).
cnf(c_0_176,plain,
( ~ p601(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_20]) ).
cnf(c_0_177,plain,
( ~ p602(esk1_0)
| ~ p201(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_122]),c_0_40])]) ).
cnf(c_0_178,plain,
( ~ p401(esk1_0)
| p202(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_123]),c_0_40])]) ).
cnf(c_0_179,plain,
( ~ p301(esk1_0)
| p202(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_123]),c_0_40])]) ).
cnf(c_0_180,plain,
( ~ p604(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_20]),c_0_40])]) ).
cnf(c_0_181,plain,
( ~ p504(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_20]),c_0_40])]) ).
cnf(c_0_182,plain,
( ~ p404(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_20]),c_0_40])]) ).
cnf(c_0_183,plain,
( ~ p603(esk1_0)
| ~ p301(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_114]),c_0_40])]) ).
cnf(c_0_184,plain,
( ~ p503(esk1_0)
| ~ p301(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_120]),c_0_40])]) ).
cnf(c_0_185,plain,
( ~ p403(esk1_0)
| ~ p301(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_107]),c_0_40])]) ).
cnf(c_0_186,plain,
( ~ p202(esk1_0)
| ~ p301(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_113]),c_0_40])]) ).
cnf(c_0_187,plain,
( ~ p302(X1)
| ~ p202(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_20]) ).
cnf(c_0_188,plain,
( ~ p603(esk1_0)
| ~ p302(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_114]) ).
cnf(c_0_189,plain,
( ~ p503(esk1_0)
| ~ p302(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_120]) ).
cnf(c_0_190,plain,
( ~ p403(esk1_0)
| ~ p302(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_107]) ).
cnf(c_0_191,plain,
( ~ r1(X1,esk1_0)
| ~ p305(esk18_2(X1,esk1_0))
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_192,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk19_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk18_2(X2,X1))
| epred10_0 ),
inference(spm,[status(thm)],[c_0_133,c_0_86]) ).
cnf(c_0_193,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk18_2(X2,X1))
| r1(X1,esk19_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_194,plain,
( ~ r1(X1,esk1_0)
| ~ p205(esk20_2(X1,esk1_0))
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_195,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk21_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk20_2(X2,X1))
| epred10_0 ),
inference(spm,[status(thm)],[c_0_136,c_0_86]) ).
cnf(c_0_196,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk20_2(X2,X1))
| r1(X1,esk21_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_197,plain,
( ~ r1(X1,esk1_0)
| ~ p204(esk35_2(X1,esk1_0))
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_198,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk36_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk35_2(X2,X1))
| epred9_0 ),
inference(spm,[status(thm)],[c_0_139,c_0_89]) ).
cnf(c_0_199,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk35_2(X2,X1))
| r1(X1,esk36_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_200,plain,
( ~ r1(X1,esk1_0)
| ~ p305(esk12_2(X1,esk1_0))
| ~ epred1_1(X1)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_201,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,esk13_2(X2,X1))
| ~ epred1_1(X2)
| r1(X1,esk12_2(X2,X1))
| epred6_0 ),
inference(spm,[status(thm)],[c_0_142,c_0_91]) ).
cnf(c_0_202,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk12_2(X2,X1))
| r1(X1,esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_203,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p605(X2)
| ~ p105(esk14_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_204,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p605(X1)
| r1(X1,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_205,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p505(X2)
| ~ p105(esk15_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_206,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p505(X1)
| r1(X1,esk15_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_207,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p604(X2)
| ~ p104(esk30_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_208,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p604(X1)
| r1(X1,esk30_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_209,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p504(X2)
| ~ p104(esk31_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_210,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p504(X1)
| r1(X1,esk31_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_211,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p404(X2)
| ~ p104(esk32_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_212,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p404(X1)
| r1(X1,esk32_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_213,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p603(X2)
| ~ p103(esk41_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_214,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p603(X1)
| r1(X1,esk41_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_215,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p503(X2)
| ~ p103(esk42_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_216,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p503(X1)
| r1(X1,esk42_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_217,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p403(X2)
| ~ p103(esk43_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_218,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p403(X1)
| r1(X1,esk43_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_219,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p303(X2)
| ~ p103(esk44_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_220,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p303(X1)
| r1(X1,esk44_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_221,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p605(X2)
| ~ p205(esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_222,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p605(X1)
| r1(X1,esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_223,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p505(X2)
| ~ p205(esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_224,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p505(X1)
| r1(X1,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_225,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p604(X2)
| ~ p204(esk25_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_226,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p604(X1)
| r1(X1,esk25_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_227,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p504(X2)
| ~ p204(esk26_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_228,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p504(X1)
| r1(X1,esk26_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_229,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p404(X2)
| ~ p204(esk27_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_230,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p404(X1)
| r1(X1,esk27_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_231,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p605(X2)
| ~ p305(esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_232,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p605(X1)
| r1(X1,esk4_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_233,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p505(X2)
| ~ p305(esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_234,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p505(X1)
| r1(X1,esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_235,plain,
( ~ p401(X1)
| ~ p301(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_20]) ).
cnf(c_0_236,plain,
( ~ p501(X1)
| ~ p301(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_20]) ).
cnf(c_0_237,plain,
( ~ p601(X1)
| ~ p301(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_20]) ).
cnf(c_0_238,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X1)
| ~ epred1_1(X2)
| r1(X1,esk16_2(X2,X1))
| epred10_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_239,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X1)
| ~ epred1_1(X2)
| r1(X1,esk33_2(X2,X1))
| epred9_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_240,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X1)
| ~ epred1_1(X2)
| r1(X1,esk10_2(X2,X1))
| epred6_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_241,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X1)
| ~ epred1_1(X2)
| r1(X1,esk28_2(X2,X1))
| epred5_0 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_242,plain,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X1)
| ~ epred1_1(X2)
| r1(X1,esk6_2(X2,X1))
| epred3_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_243,plain,
( ~ p601(X1)
| ~ p401(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_20]) ).
cnf(c_0_244,plain,
( ~ p501(X1)
| ~ p401(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_20]) ).
cnf(c_0_245,plain,
( ~ p601(X1)
| ~ p501(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_20]) ).
cnf(c_0_246,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p603(X3)
| ~ epred1_1(X2)
| r1(X1,esk37_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_36]) ).
cnf(c_0_247,plain,
( ~ p503(esk1_0)
| ~ p601(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_120]),c_0_40])]) ).
cnf(c_0_248,negated_conjecture,
( p601(esk1_0)
| p602(esk1_0)
| p603(esk1_0)
| p604(esk1_0)
| p605(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_249,plain,
( ~ epred1_1(X1)
| ~ p502(X2)
| ~ p602(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_250,plain,
( ~ p602(X1)
| ~ p202(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_20]) ).
cnf(c_0_251,negated_conjecture,
( ~ p403(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_252,plain,
( ~ p403(esk1_0)
| ~ p601(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_107]),c_0_40])]) ).
cnf(c_0_253,plain,
( ~ epred1_1(X1)
| ~ p402(X2)
| ~ p602(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_254,negated_conjecture,
( ~ p505(esk1_0)
| ~ p303(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_255,plain,
( ~ epred1_1(X1)
| ~ p402(X2)
| ~ p502(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_256,negated_conjecture,
( ~ p605(esk1_0)
| ~ p303(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_163,c_0_165]) ).
cnf(c_0_257,plain,
( ~ p303(esk1_0)
| ~ p601(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_109]),c_0_40])]) ).
cnf(c_0_258,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p505(X3)
| ~ epred1_1(X2)
| r1(X1,esk3_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_61]) ).
cnf(c_0_259,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p605(X3)
| ~ epred1_1(X2)
| r1(X1,esk2_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_63]) ).
cnf(c_0_260,plain,
( ~ epred1_1(X1)
| ~ p403(X2)
| ~ p603(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_261,negated_conjecture,
( ~ p505(esk1_0)
| ~ p202(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_164]) ).
cnf(c_0_262,negated_conjecture,
( ~ p505(esk1_0)
| ~ p603(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_164]) ).
cnf(c_0_263,plain,
( ~ p603(esk1_0)
| ~ p402(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_40])]) ).
cnf(c_0_264,plain,
( ~ epred1_1(X1)
| ~ p503(X2)
| ~ p603(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_265,negated_conjecture,
( ~ p202(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_162]) ).
cnf(c_0_266,negated_conjecture,
( ~ p603(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_162]) ).
cnf(c_0_267,plain,
( ~ p603(esk1_0)
| ~ p502(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_40])]) ).
cnf(c_0_268,plain,
( ~ epred1_1(X1)
| ~ p403(X2)
| ~ p503(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_269,negated_conjecture,
( ~ p605(esk1_0)
| ~ p202(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_165]) ).
cnf(c_0_270,negated_conjecture,
( ~ p605(esk1_0)
| ~ p503(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_165]) ).
cnf(c_0_271,plain,
( ~ p503(esk1_0)
| ~ p402(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_175]),c_0_40])]) ).
cnf(c_0_272,plain,
( ~ p202(esk1_0)
| ~ p601(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_113]),c_0_40])]) ).
cnf(c_0_273,plain,
( ~ p503(esk1_0)
| ~ p602(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_120]) ).
cnf(c_0_274,plain,
( ~ p403(esk1_0)
| ~ p502(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_107]) ).
cnf(c_0_275,plain,
( ~ p403(esk1_0)
| ~ p602(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_107]) ).
cnf(c_0_276,plain,
( ~ p303(esk1_0)
| ~ p402(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_109]) ).
cnf(c_0_277,plain,
( ~ p303(esk1_0)
| ~ p501(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_109]),c_0_40])]) ).
cnf(c_0_278,plain,
( ~ p303(esk1_0)
| ~ p502(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_109]) ).
cnf(c_0_279,plain,
( ~ p303(esk1_0)
| ~ p602(esk1_0)
| p202(esk1_0)
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_109]) ).
cnf(c_0_280,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p404(X3)
| ~ epred1_1(X2)
| r1(X1,esk24_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_81]) ).
cnf(c_0_281,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p604(X3)
| ~ epred1_1(X2)
| r1(X1,esk22_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_77]) ).
cnf(c_0_282,negated_conjecture,
( ~ p505(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p202(esk1_0)
| epred4_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_178,c_0_164]) ).
cnf(c_0_283,negated_conjecture,
( ~ p605(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p202(esk1_0)
| epred4_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_178,c_0_165]) ).
cnf(c_0_284,plain,
( ~ p501(esk1_0)
| p202(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_123]),c_0_40])]) ).
cnf(c_0_285,plain,
( ~ p601(esk1_0)
| p202(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_123]),c_0_40])]) ).
cnf(c_0_286,plain,
( ~ epred1_1(X1)
| ~ p302(X2)
| ~ p402(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_287,plain,
( ~ p604(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p202(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_288,plain,
( ~ p504(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p202(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_181]) ).
cnf(c_0_289,plain,
( ~ epred1_1(X1)
| ~ p302(X2)
| ~ p602(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_290,plain,
( ~ epred1_1(X1)
| ~ p302(X2)
| ~ p502(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_291,plain,
( ~ p404(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p202(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_182]) ).
cnf(c_0_292,plain,
( ~ p404(esk1_0)
| ~ p603(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p202(esk1_0)
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_182]) ).
cnf(c_0_293,plain,
( ~ p604(esk1_0)
| ~ p503(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p202(esk1_0)
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_180]) ).
cnf(c_0_294,plain,
( ~ p404(esk1_0)
| ~ p503(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p202(esk1_0)
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_182]) ).
cnf(c_0_295,plain,
( ~ p504(esk1_0)
| ~ p403(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p202(esk1_0)
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_181]) ).
cnf(c_0_296,plain,
( ~ epred1_1(X1)
| ~ p303(X2)
| ~ p603(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_297,plain,
( ~ p504(esk1_0)
| ~ p202(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_181]) ).
cnf(c_0_298,plain,
( ~ p504(esk1_0)
| ~ p603(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p202(esk1_0)
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_181]) ).
cnf(c_0_299,plain,
( ~ p603(esk1_0)
| ~ p302(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_40])]) ).
cnf(c_0_300,plain,
( ~ p404(esk1_0)
| ~ p202(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_182]) ).
cnf(c_0_301,plain,
( ~ epred1_1(X1)
| ~ p303(X2)
| ~ p503(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_302,plain,
( ~ p604(esk1_0)
| ~ p202(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_180]) ).
cnf(c_0_303,plain,
( ~ p503(esk1_0)
| ~ p302(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_189]),c_0_40])]) ).
cnf(c_0_304,plain,
( ~ epred1_1(X1)
| ~ p303(X2)
| ~ p403(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_305,plain,
( ~ p604(esk1_0)
| ~ p403(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| p202(esk1_0)
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_180]) ).
cnf(c_0_306,plain,
( ~ p403(esk1_0)
| ~ p302(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_190]),c_0_40])]) ).
cnf(c_0_307,plain,
( ~ p502(esk1_0)
| ~ p301(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_71]),c_0_40])]) ).
cnf(c_0_308,plain,
( ~ p402(esk1_0)
| ~ p301(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_69]),c_0_40])]) ).
cnf(c_0_309,plain,
( ~ p602(esk1_0)
| ~ p301(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_122]),c_0_40])]) ).
cnf(c_0_310,plain,
( ~ p602(esk1_0)
| ~ p401(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_122]),c_0_40])]) ).
cnf(c_0_311,plain,
( ~ p602(esk1_0)
| ~ p501(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_122]),c_0_40])]) ).
cnf(c_0_312,plain,
( ~ p502(esk1_0)
| ~ p401(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_71]),c_0_40])]) ).
cnf(c_0_313,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ r1(esk1_0,esk18_2(X1,esk1_0))
| ~ epred1_1(X1)
| epred3_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_103]) ).
cnf(c_0_314,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk18_2(X1,esk1_0))
| epred10_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_315,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ r1(esk1_0,esk20_2(X1,esk1_0))
| ~ epred1_1(X1)
| epred6_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_91]) ).
cnf(c_0_316,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk20_2(X1,esk1_0))
| epred10_0 ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_317,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ r1(esk1_0,esk35_2(X1,esk1_0))
| ~ epred1_1(X1)
| epred5_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_197,c_0_100]) ).
cnf(c_0_318,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk35_2(X1,esk1_0))
| epred9_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_319,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ r1(esk1_0,esk12_2(X1,esk1_0))
| ~ epred1_1(X1)
| epred3_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_200,c_0_103]) ).
cnf(c_0_320,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk12_2(X1,esk1_0))
| epred6_0 ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_321,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p405(esk16_2(X1,X2))
| ~ p105(esk17_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_322,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p405(esk16_2(X2,X1))
| r1(X1,esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_323,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p304(esk33_2(X1,X2))
| ~ p104(esk34_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_324,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p304(esk33_2(X2,X1))
| r1(X1,esk34_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_325,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p405(esk10_2(X1,X2))
| ~ p205(esk11_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_326,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p405(esk10_2(X2,X1))
| r1(X1,esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_327,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p304(esk28_2(X1,X2))
| ~ p204(esk29_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_328,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p304(esk28_2(X2,X1))
| r1(X1,esk29_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_329,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p405(esk6_2(X1,X2))
| ~ p305(esk7_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_330,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p405(esk6_2(X2,X1))
| r1(X1,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_331,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk14_2(X1,X2))
| ~ p605(X2)
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_203,c_0_86]) ).
cnf(c_0_332,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p605(X3)
| ~ epred1_1(X2)
| r1(X1,esk14_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_204]) ).
cnf(c_0_333,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk15_2(X1,X2))
| ~ p505(X2)
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_86]) ).
cnf(c_0_334,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p505(X3)
| ~ epred1_1(X2)
| r1(X1,esk15_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_206]) ).
cnf(c_0_335,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk30_2(X1,X2))
| ~ p604(X2)
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_89]) ).
cnf(c_0_336,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p604(X3)
| ~ epred1_1(X2)
| r1(X1,esk30_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_208]) ).
cnf(c_0_337,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk31_2(X1,X2))
| ~ p504(X2)
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_89]) ).
cnf(c_0_338,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p504(X3)
| ~ epred1_1(X2)
| r1(X1,esk31_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_210]) ).
cnf(c_0_339,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk32_2(X1,X2))
| ~ p404(X2)
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_89]) ).
cnf(c_0_340,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p404(X3)
| ~ epred1_1(X2)
| r1(X1,esk32_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_212]) ).
cnf(c_0_341,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk41_2(X1,X2))
| ~ p603(X2)
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_213,c_0_13]) ).
cnf(c_0_342,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p603(X3)
| ~ epred1_1(X2)
| r1(X1,esk41_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_214]) ).
cnf(c_0_343,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk42_2(X1,X2))
| ~ p503(X2)
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_215,c_0_13]) ).
cnf(c_0_344,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p503(X3)
| ~ epred1_1(X2)
| r1(X1,esk42_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_216]) ).
cnf(c_0_345,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk43_2(X1,X2))
| ~ p403(X2)
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_217,c_0_13]) ).
cnf(c_0_346,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p403(X3)
| ~ epred1_1(X2)
| r1(X1,esk43_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_218]) ).
cnf(c_0_347,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk44_2(X1,X2))
| ~ p303(X2)
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_219,c_0_13]) ).
cnf(c_0_348,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p303(X3)
| ~ epred1_1(X2)
| r1(X1,esk44_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_220]) ).
cnf(c_0_349,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk8_2(X1,X2))
| ~ p605(X2)
| ~ epred1_1(X1)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_221,c_0_91]) ).
cnf(c_0_350,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p605(X3)
| ~ epred1_1(X2)
| r1(X1,esk8_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_222]) ).
cnf(c_0_351,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk9_2(X1,X2))
| ~ p505(X2)
| ~ epred1_1(X1)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_223,c_0_91]) ).
cnf(c_0_352,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p505(X3)
| ~ epred1_1(X2)
| r1(X1,esk9_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_224]) ).
cnf(c_0_353,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk25_2(X1,X2))
| ~ p604(X2)
| ~ epred1_1(X1)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_100]) ).
cnf(c_0_354,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p604(X3)
| ~ epred1_1(X2)
| r1(X1,esk25_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_226]) ).
cnf(c_0_355,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk26_2(X1,X2))
| ~ p504(X2)
| ~ epred1_1(X1)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_227,c_0_100]) ).
cnf(c_0_356,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p504(X3)
| ~ epred1_1(X2)
| r1(X1,esk26_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_228]) ).
cnf(c_0_357,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk27_2(X1,X2))
| ~ p404(X2)
| ~ epred1_1(X1)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_229,c_0_100]) ).
cnf(c_0_358,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p404(X3)
| ~ epred1_1(X2)
| r1(X1,esk27_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_230]) ).
cnf(c_0_359,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk4_2(X1,X2))
| ~ p605(X2)
| ~ epred1_1(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_103]) ).
cnf(c_0_360,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p605(X3)
| ~ epred1_1(X2)
| r1(X1,esk4_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_232]) ).
cnf(c_0_361,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk5_2(X1,X2))
| ~ p505(X2)
| ~ epred1_1(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_103]) ).
cnf(c_0_362,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p505(X3)
| ~ epred1_1(X2)
| r1(X1,esk5_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_234]) ).
cnf(c_0_363,plain,
( ~ p604(esk1_0)
| ~ p401(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_180]),c_0_40])]) ).
cnf(c_0_364,plain,
( ~ p604(esk1_0)
| ~ p501(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_180]),c_0_40])]) ).
cnf(c_0_365,plain,
( ~ p504(esk1_0)
| ~ p401(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_181]),c_0_40])]) ).
cnf(c_0_366,plain,
( ~ p504(esk1_0)
| ~ p601(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_181]),c_0_40])]) ).
cnf(c_0_367,plain,
( ~ p404(esk1_0)
| ~ p501(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_182]),c_0_40])]) ).
cnf(c_0_368,plain,
( ~ p404(esk1_0)
| ~ p601(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_182]),c_0_40])]) ).
cnf(c_0_369,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X3)
| ~ epred1_1(X2)
| r1(X1,esk16_2(X2,X3))
| epred10_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_238]) ).
cnf(c_0_370,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X3)
| ~ epred1_1(X2)
| r1(X1,esk33_2(X2,X3))
| epred9_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_239]) ).
cnf(c_0_371,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X3)
| ~ epred1_1(X2)
| r1(X1,esk10_2(X2,X3))
| epred6_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_240]) ).
cnf(c_0_372,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X3)
| ~ epred1_1(X2)
| r1(X1,esk28_2(X2,X3))
| epred5_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_241]) ).
cnf(c_0_373,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X3)
| ~ epred1_1(X2)
| r1(X1,esk6_2(X2,X3))
| epred3_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_242]) ).
cnf(c_0_374,plain,
( ~ p505(esk1_0)
| ~ p601(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_164]),c_0_40])]) ).
cnf(c_0_375,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk16_2(X1,esk1_0))
| epred10_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_94]) ).
cnf(c_0_376,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk33_2(X1,esk1_0))
| epred9_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_96]) ).
cnf(c_0_377,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk10_2(X1,esk1_0))
| epred6_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_98]) ).
cnf(c_0_378,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk28_2(X1,esk1_0))
| epred5_0 ),
inference(spm,[status(thm)],[c_0_152,c_0_101]) ).
cnf(c_0_379,plain,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| r1(esk1_0,esk6_2(X1,esk1_0))
| epred3_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_104]) ).
cnf(c_0_380,plain,
( ~ p605(esk1_0)
| ~ p501(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_165]),c_0_40])]) ).
cnf(c_0_381,negated_conjecture,
( ~ p601(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_162]),c_0_40])]) ).
cnf(c_0_382,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p603(X2)
| ~ epred1_1(X1)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_246]),c_0_37]) ).
cnf(c_0_383,negated_conjecture,
( ~ p503(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_384,plain,
( ~ p602(X1)
| ~ p502(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_249,c_0_20]) ).
cnf(c_0_385,plain,
( ~ p403(esk1_0)
| ~ p602(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_40])]) ).
cnf(c_0_386,negated_conjecture,
( ~ p403(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_248]) ).
cnf(c_0_387,plain,
( ~ p602(X1)
| ~ p402(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_253,c_0_20]) ).
cnf(c_0_388,plain,
( ~ p505(esk1_0)
| ~ p303(esk1_0)
| ~ p602(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_254]),c_0_40])]) ).
cnf(c_0_389,plain,
( ~ p502(X1)
| ~ p402(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_255,c_0_20]) ).
cnf(c_0_390,plain,
( ~ p605(esk1_0)
| ~ p303(esk1_0)
| ~ p502(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_256]),c_0_40])]) ).
cnf(c_0_391,negated_conjecture,
( ~ p303(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_257,c_0_248]) ).
cnf(c_0_392,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p505(X2)
| ~ epred1_1(X1)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_258]),c_0_62]) ).
cnf(c_0_393,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p605(X2)
| ~ epred1_1(X1)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_259]),c_0_64]) ).
cnf(c_0_394,plain,
( ~ p603(X1)
| ~ p403(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_20]) ).
cnf(c_0_395,negated_conjecture,
( ~ p505(esk1_0)
| ~ p603(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).
cnf(c_0_396,plain,
( ~ p603(X1)
| ~ p503(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_20]) ).
cnf(c_0_397,negated_conjecture,
( ~ p603(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]) ).
cnf(c_0_398,plain,
( ~ p503(X1)
| ~ p403(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_268,c_0_20]) ).
cnf(c_0_399,negated_conjecture,
( ~ p605(esk1_0)
| ~ p503(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).
cnf(c_0_400,negated_conjecture,
( ~ p202(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_248]) ).
cnf(c_0_401,plain,
( ~ p503(esk1_0)
| ~ p602(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_273]),c_0_40])]) ).
cnf(c_0_402,plain,
( ~ p403(esk1_0)
| ~ p502(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_274]),c_0_40])]) ).
cnf(c_0_403,plain,
( ~ p403(esk1_0)
| ~ p602(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_275]),c_0_40])]) ).
cnf(c_0_404,plain,
( ~ p303(esk1_0)
| ~ p402(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_276]),c_0_40])]) ).
cnf(c_0_405,negated_conjecture,
( ~ p303(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| p202(esk1_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_277,c_0_162]) ).
cnf(c_0_406,plain,
( ~ p303(esk1_0)
| ~ p502(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_278]),c_0_40])]) ).
cnf(c_0_407,plain,
( ~ p303(esk1_0)
| ~ p602(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_279]),c_0_40])]) ).
cnf(c_0_408,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p404(X2)
| ~ epred1_1(X1)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_280]),c_0_82]) ).
cnf(c_0_409,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p604(X2)
| ~ epred1_1(X1)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_281]),c_0_78]) ).
cnf(c_0_410,plain,
( ~ p505(esk1_0)
| ~ p602(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_282]),c_0_40])]) ).
cnf(c_0_411,plain,
( ~ p605(esk1_0)
| ~ p502(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_283]),c_0_40])]) ).
cnf(c_0_412,negated_conjecture,
( p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| p202(esk1_0)
| epred4_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_162]) ).
cnf(c_0_413,negated_conjecture,
( p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| p202(esk1_0)
| epred4_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_248]) ).
cnf(c_0_414,plain,
( ~ p402(X1)
| ~ p302(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_286,c_0_20]) ).
cnf(c_0_415,plain,
( ~ p604(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_287]),c_0_40])]) ).
cnf(c_0_416,plain,
( ~ p504(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_288]),c_0_40])]) ).
cnf(c_0_417,plain,
( ~ p602(X1)
| ~ p302(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_289,c_0_20]) ).
cnf(c_0_418,plain,
( ~ p504(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_288]),c_0_40])]) ).
cnf(c_0_419,plain,
( ~ p502(X1)
| ~ p302(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_290,c_0_20]) ).
cnf(c_0_420,plain,
( ~ p404(esk1_0)
| ~ p502(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_291]),c_0_40])]) ).
cnf(c_0_421,plain,
( ~ p404(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_291]),c_0_40])]) ).
cnf(c_0_422,plain,
( ~ p404(esk1_0)
| ~ p603(esk1_0)
| ~ p502(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_292]),c_0_40])]) ).
cnf(c_0_423,plain,
( ~ p604(esk1_0)
| ~ p503(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_293]),c_0_40])]) ).
cnf(c_0_424,plain,
( ~ p404(esk1_0)
| ~ p503(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_294]),c_0_40])]) ).
cnf(c_0_425,plain,
( ~ p504(esk1_0)
| ~ p403(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_295]),c_0_40])]) ).
cnf(c_0_426,plain,
( ~ p603(X1)
| ~ p303(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_296,c_0_20]) ).
cnf(c_0_427,plain,
( ~ p504(esk1_0)
| ~ p603(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]) ).
cnf(c_0_428,plain,
( ~ p404(esk1_0)
| ~ p603(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_292]),c_0_299]) ).
cnf(c_0_429,plain,
( ~ p503(X1)
| ~ p303(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_301,c_0_20]) ).
cnf(c_0_430,plain,
( ~ p604(esk1_0)
| ~ p503(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_293]),c_0_303]) ).
cnf(c_0_431,plain,
( ~ p404(esk1_0)
| ~ p503(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_294]),c_0_303]) ).
cnf(c_0_432,plain,
( ~ p403(X1)
| ~ p303(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_304,c_0_20]) ).
cnf(c_0_433,plain,
( ~ p604(esk1_0)
| ~ p403(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_305]),c_0_306]) ).
cnf(c_0_434,plain,
( ~ p504(esk1_0)
| ~ p403(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_295]),c_0_306]) ).
cnf(c_0_435,plain,
( ~ p604(esk1_0)
| ~ p502(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_180]) ).
cnf(c_0_436,plain,
( ~ p604(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_180]) ).
cnf(c_0_437,plain,
( ~ p504(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_181]) ).
cnf(c_0_438,plain,
( ~ p504(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_181]) ).
cnf(c_0_439,plain,
( ~ p404(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_182]) ).
cnf(c_0_440,plain,
( ~ p404(esk1_0)
| ~ p502(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_182]) ).
cnf(c_0_441,negated_conjecture,
( ~ p505(esk1_0)
| ~ p602(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_310,c_0_164]) ).
cnf(c_0_442,negated_conjecture,
( ~ p602(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_311,c_0_162]) ).
cnf(c_0_443,negated_conjecture,
( ~ p605(esk1_0)
| ~ p502(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_165]) ).
cnf(c_0_444,plain,
( ~ p502(esk1_0)
| ~ p601(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_71]),c_0_40])]) ).
cnf(c_0_445,plain,
( ~ p402(esk1_0)
| ~ p501(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_69]),c_0_40])]) ).
cnf(c_0_446,plain,
( ~ p402(esk1_0)
| ~ p601(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_69]),c_0_40])]) ).
cnf(c_0_447,plain,
( ~ p302(esk1_0)
| ~ p401(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_84]),c_0_40])]) ).
cnf(c_0_448,plain,
( ~ p302(esk1_0)
| ~ p501(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_84]),c_0_40])]) ).
cnf(c_0_449,plain,
( ~ p302(esk1_0)
| ~ p601(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_84]),c_0_40])]) ).
cnf(c_0_450,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| epred3_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_451,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| epred6_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_452,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| epred5_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_453,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| epred3_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_454,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk17_2(X1,X2))
| ~ p405(esk16_2(X1,X2))
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_86]) ).
cnf(c_0_455,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p405(esk16_2(X2,X3))
| ~ epred1_1(X2)
| r1(X1,esk17_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_322]) ).
cnf(c_0_456,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk34_2(X1,X2))
| ~ p304(esk33_2(X1,X2))
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_89]) ).
cnf(c_0_457,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p304(esk33_2(X2,X3))
| ~ epred1_1(X2)
| r1(X1,esk34_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_324]) ).
cnf(c_0_458,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk11_2(X1,X2))
| ~ p405(esk10_2(X1,X2))
| ~ epred1_1(X1)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_325,c_0_91]) ).
cnf(c_0_459,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p405(esk10_2(X2,X3))
| ~ epred1_1(X2)
| r1(X1,esk11_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_326]) ).
cnf(c_0_460,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk29_2(X1,X2))
| ~ p304(esk28_2(X1,X2))
| ~ epred1_1(X1)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_327,c_0_100]) ).
cnf(c_0_461,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p304(esk28_2(X2,X3))
| ~ epred1_1(X2)
| r1(X1,esk29_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_328]) ).
cnf(c_0_462,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,esk7_2(X1,X2))
| ~ p405(esk6_2(X1,X2))
| ~ epred1_1(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_103]) ).
cnf(c_0_463,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X3)
| ~ p405(esk6_2(X2,X3))
| ~ epred1_1(X2)
| r1(X1,esk7_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_330]) ).
cnf(c_0_464,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p605(X2)
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_465,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p505(X2)
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_466,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p604(X2)
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_467,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p504(X2)
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_468,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p404(X2)
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_469,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p603(X2)
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_470,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p503(X2)
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_471,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p403(X2)
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_472,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p303(X2)
| ~ epred1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_473,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p605(X2)
| ~ epred1_1(X1)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_474,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p505(X2)
| ~ epred1_1(X1)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_475,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p604(X2)
| ~ epred1_1(X1)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_353,c_0_354]) ).
cnf(c_0_476,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p504(X2)
| ~ epred1_1(X1)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_477,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p404(X2)
| ~ epred1_1(X1)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_478,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p605(X2)
| ~ epred1_1(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_479,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p505(X2)
| ~ epred1_1(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_480,negated_conjecture,
( ~ r1(esk1_0,X4)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| p101(esk1_0)
| p102(X4)
| p103(X3)
| p104(X2)
| p105(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_481,plain,
( ~ epred1_1(X1)
| ~ p404(X2)
| ~ p504(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_482,plain,
( ~ epred1_1(X1)
| ~ p404(X2)
| ~ p604(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_483,plain,
( ~ epred1_1(X1)
| ~ p504(X2)
| ~ p604(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_484,plain,
( ~ epred1_1(X1)
| ~ p505(X2)
| ~ p605(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_485,negated_conjecture,
( ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| p201(esk1_0)
| p202(esk1_0)
| p203(X3)
| p204(X2)
| p205(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_486,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| p301(esk1_0)
| p302(esk1_0)
| p303(esk1_0)
| p304(X2)
| p305(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_487,negated_conjecture,
( ~ p505(esk1_0)
| ~ p604(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_363,c_0_164]) ).
cnf(c_0_488,negated_conjecture,
( ~ p604(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_364,c_0_162]) ).
cnf(c_0_489,negated_conjecture,
( ~ p605(esk1_0)
| ~ p504(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_365,c_0_165]) ).
cnf(c_0_490,negated_conjecture,
( ~ p504(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_366,c_0_248]) ).
cnf(c_0_491,negated_conjecture,
( ~ p404(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_162]) ).
cnf(c_0_492,negated_conjecture,
( ~ p404(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| p303(esk1_0)
| p302(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_248]) ).
cnf(c_0_493,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ epred1_1(X1)
| epred10_0
| p405(esk16_2(X1,X2))
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_369]) ).
cnf(c_0_494,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ epred1_1(X1)
| epred9_0
| p304(esk33_2(X1,X2))
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_370]) ).
cnf(c_0_495,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ epred1_1(X1)
| epred6_0
| p405(esk10_2(X1,X2))
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_371]) ).
cnf(c_0_496,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ epred1_1(X1)
| epred5_0
| p304(esk28_2(X1,X2))
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_372]) ).
cnf(c_0_497,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ epred1_1(X1)
| epred3_0
| p405(esk6_2(X1,X2))
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_373]) ).
cnf(c_0_498,negated_conjecture,
( ~ p505(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0) ),
inference(spm,[status(thm)],[c_0_374,c_0_248]) ).
cnf(c_0_499,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| epred10_0
| p405(esk16_2(X1,esk1_0))
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_375]) ).
cnf(c_0_500,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| epred9_0
| p304(esk33_2(X1,esk1_0))
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_376]) ).
cnf(c_0_501,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| epred6_0
| p405(esk10_2(X1,esk1_0))
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_377]) ).
cnf(c_0_502,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| epred5_0
| p304(esk28_2(X1,esk1_0))
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_378]) ).
cnf(c_0_503,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ epred1_1(X1)
| epred3_0
| p405(esk6_2(X1,esk1_0))
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_379]) ).
cnf(c_0_504,negated_conjecture,
( ~ p605(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0) ),
inference(spm,[status(thm)],[c_0_380,c_0_162]) ).
cnf(c_0_505,negated_conjecture,
( p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0) ),
inference(spm,[status(thm)],[c_0_381,c_0_248]) ).
cnf(c_0_506,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p603(X1)
| p202(esk1_0)
| p201(esk1_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_20]),c_0_19]) ).
cnf(c_0_507,plain,
( ~ p603(esk1_0)
| ~ p302(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_266]),c_0_40])]) ).
cnf(c_0_508,plain,
( ~ p503(esk1_0)
| ~ p302(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_383]),c_0_40])]) ).
cnf(c_0_509,plain,
( ~ p503(esk1_0)
| ~ p402(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_383]),c_0_40])]) ).
cnf(c_0_510,plain,
( ~ p403(esk1_0)
| ~ p302(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_251]),c_0_40])]) ).
cnf(c_0_511,plain,
( ~ p403(esk1_0)
| ~ p602(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_40])]) ).
cnf(c_0_512,plain,
( ~ p403(esk1_0)
| ~ p302(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_386]),c_0_40])]) ).
cnf(c_0_513,plain,
( ~ p403(esk1_0)
| ~ p502(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_386]),c_0_40])]) ).
cnf(c_0_514,plain,
( ~ p505(esk1_0)
| ~ p303(esk1_0)
| ~ p602(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_40])]) ).
cnf(c_0_515,plain,
( ~ p605(esk1_0)
| ~ p303(esk1_0)
| ~ p502(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_40])]) ).
cnf(c_0_516,plain,
( ~ p303(esk1_0)
| ~ p502(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_391]),c_0_40])]) ).
cnf(c_0_517,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p505(X1)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_20]),c_0_19]) ).
cnf(c_0_518,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p605(X1)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| p401(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_20]),c_0_19]) ).
cnf(c_0_519,plain,
( ~ p505(esk1_0)
| ~ p603(esk1_0)
| p404(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_40])]) ).
cnf(c_0_520,plain,
( ~ p603(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_40])]) ).
cnf(c_0_521,plain,
( ~ p605(esk1_0)
| ~ p503(esk1_0)
| p404(esk1_0)
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_40])]) ).
cnf(c_0_522,negated_conjecture,
( ~ p503(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_383]),c_0_401]) ).
cnf(c_0_523,negated_conjecture,
( ~ p403(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_251]),c_0_402]) ).
cnf(c_0_524,negated_conjecture,
( ~ p403(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_386]),c_0_403]) ).
cnf(c_0_525,negated_conjecture,
( ~ p505(esk1_0)
| ~ p303(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_254]),c_0_404]) ).
cnf(c_0_526,negated_conjecture,
( ~ p605(esk1_0)
| ~ p303(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_256]),c_0_404]) ).
cnf(c_0_527,negated_conjecture,
( ~ p303(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_405]),c_0_406]) ).
cnf(c_0_528,negated_conjecture,
( ~ p303(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| epred4_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_391]),c_0_407]) ).
cnf(c_0_529,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p404(X1)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_20]),c_0_19]) ).
cnf(c_0_530,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p604(X1)
| p303(esk1_0)
| p302(esk1_0)
| p301(esk1_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_20]),c_0_19]) ).
cnf(c_0_531,plain,
( ~ p505(esk1_0)
| ~ p602(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_410]),c_0_40])]) ).
cnf(c_0_532,plain,
( ~ p605(esk1_0)
| ~ p502(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_411]),c_0_40])]) ).
cnf(c_0_533,plain,
( ~ p302(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_412]),c_0_40])]) ).
cnf(c_0_534,plain,
( ~ p302(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_413]),c_0_40])]) ).
cnf(c_0_535,plain,
( ~ p402(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_413]),c_0_40])]) ).
cnf(c_0_536,plain,
( ~ p502(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_413]),c_0_40])]) ).
cnf(c_0_537,plain,
( ~ p604(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_40])]) ).
cnf(c_0_538,plain,
( ~ p504(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_416]),c_0_40])]) ).
cnf(c_0_539,plain,
( ~ p504(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_40])]) ).
cnf(c_0_540,plain,
( ~ p404(esk1_0)
| ~ p502(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_40])]) ).
cnf(c_0_541,plain,
( ~ p404(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_421]),c_0_40])]) ).
cnf(c_0_542,plain,
( ~ p404(esk1_0)
| ~ p603(esk1_0)
| ~ p502(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_422]),c_0_40])]) ).
cnf(c_0_543,plain,
( ~ p604(esk1_0)
| ~ p503(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_423]),c_0_40])]) ).
cnf(c_0_544,plain,
( ~ p404(esk1_0)
| ~ p503(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_424]),c_0_40])]) ).
cnf(c_0_545,plain,
( ~ p504(esk1_0)
| ~ p403(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_425]),c_0_40])]) ).
cnf(c_0_546,plain,
( ~ p504(esk1_0)
| ~ p603(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_40])]) ).
cnf(c_0_547,plain,
( ~ p404(esk1_0)
| ~ p603(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_428]),c_0_40])]) ).
cnf(c_0_548,plain,
( ~ p604(esk1_0)
| ~ p503(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_40])]) ).
cnf(c_0_549,plain,
( ~ p404(esk1_0)
| ~ p503(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_431]),c_0_40])]) ).
cnf(c_0_550,plain,
( ~ p604(esk1_0)
| ~ p403(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_40])]) ).
cnf(c_0_551,plain,
( ~ p504(esk1_0)
| ~ p403(esk1_0)
| epred2_0
| epred4_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_434]),c_0_40])]) ).
cnf(c_0_552,plain,
( ~ p604(esk1_0)
| ~ p502(esk1_0)
| p303(esk1_0)
| epred2_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_435]),c_0_40])]) ).
cnf(c_0_553,plain,
( ~ p604(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| epred2_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_436]),c_0_40])]) ).
cnf(c_0_554,plain,
( ~ p504(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| epred2_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_437]),c_0_40])]) ).
cnf(c_0_555,plain,
( ~ p504(esk1_0)
| ~ p402(esk1_0)
| p303(esk1_0)
| epred2_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_438]),c_0_40])]) ).
cnf(c_0_556,plain,
( ~ p404(esk1_0)
| ~ p602(esk1_0)
| p303(esk1_0)
| epred2_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_439]),c_0_40])]) ).
cnf(c_0_557,plain,
( ~ p404(esk1_0)
| ~ p502(esk1_0)
| p303(esk1_0)
| epred2_0
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_440]),c_0_40])]) ).
cnf(c_0_558,plain,
( ~ p505(esk1_0)
| ~ p602(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_441]),c_0_40])]) ).
cnf(c_0_559,plain,
( ~ p602(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_442]),c_0_40])]) ).
cnf(c_0_560,plain,
( ~ p605(esk1_0)
| ~ p502(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_443]),c_0_40])]) ).
cnf(c_0_561,negated_conjecture,
( ~ p502(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_444,c_0_248]) ).
cnf(c_0_562,negated_conjecture,
( ~ p402(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_445,c_0_162]) ).
cnf(c_0_563,negated_conjecture,
( ~ p402(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_248]) ).
cnf(c_0_564,negated_conjecture,
( ~ p505(esk1_0)
| ~ p302(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_447,c_0_164]) ).
cnf(c_0_565,negated_conjecture,
( ~ p605(esk1_0)
| ~ p302(esk1_0)
| p404(esk1_0)
| p403(esk1_0)
| p402(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_447,c_0_165]) ).
cnf(c_0_566,negated_conjecture,
( ~ p302(esk1_0)
| p505(esk1_0)
| p504(esk1_0)
| p503(esk1_0)
| p502(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_448,c_0_162]) ).
cnf(c_0_567,negated_conjecture,
( ~ p302(esk1_0)
| p605(esk1_0)
| p604(esk1_0)
| p603(esk1_0)
| p602(esk1_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_449,c_0_248]) ).
cnf(c_0_568,plain,
( ~ r1(X2,X3)
| ~ r1(X4,X3)
| ~ r1(X1,X4)
| ~ p604(X3)
| ~ epred1_1(X2)
| r1(X1,esk30_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_336]) ).
cnf(c_0_569,negated_conjecture,
( epred3_0
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_20]),c_0_40])]) ).
cnf(c_0_570,negated_conjecture,
( epred6_0
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_20]),c_0_40])]) ).
cnf(c_0_571,negated_conjecture,
( epred5_0
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_20]),c_0_40])]) ).
cnf(c_0_572,negated_conjecture,
( epred3_0
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_20]),c_0_40])]) ).
cnf(c_0_573,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p405(esk16_2(X1,X2))
| ~ epred1_1(X1)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_574,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p304(esk33_2(X1,X2))
| ~ epred1_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_456,c_0_457]) ).
cnf(c_0_575,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p405(esk10_2(X1,X2))
| ~ epred1_1(X1)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_576,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p304(esk28_2(X1,X2))
| ~ epred1_1(X1)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
cnf(c_0_577,plain,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X2)
| ~ p405(esk6_2(X1,X2))
| ~ epred1_1(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_462,c_0_463]) ).
cnf(c_0_578,plain,
( ~ r1(esk1_0,X1)
| ~ p605(X1)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_20]),c_0_19]) ).
cnf(c_0_579,plain,
( ~ r1(esk1_0,X1)
| ~ p505(X1)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_20]),c_0_19]) ).
cnf(c_0_580,plain,
( ~ r1(esk1_0,X1)
| ~ p604(X1)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_20]),c_0_19]) ).
cnf(c_0_581,plain,
( ~ r1(esk1_0,X1)
| ~ p504(X1)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_20]),c_0_19]) ).
cnf(c_0_582,plain,
( ~ r1(esk1_0,X1)
| ~ p404(X1)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_20]),c_0_19]) ).
cnf(c_0_583,plain,
( ~ r1(esk1_0,X1)
| ~ p603(X1)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_20]),c_0_19]) ).
cnf(c_0_584,plain,
( ~ r1(esk1_0,X1)
| ~ p503(X1)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_20]),c_0_19]) ).
cnf(c_0_585,plain,
( ~ r1(esk1_0,X1)
| ~ p403(X1)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_20]),c_0_19]) ).
cnf(c_0_586,plain,
( ~ r1(esk1_0,X1)
| ~ p303(X1)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_20]),c_0_19]) ).
cnf(c_0_587,plain,
( ~ r1(esk1_0,X1)
| ~ p605(X1)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_20]),c_0_19]) ).
cnf(c_0_588,plain,
( ~ r1(esk1_0,X1)
| ~ p505(X1)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_20]),c_0_19]) ).
cnf(c_0_589,plain,
( ~ r1(esk1_0,X1)
| ~ p604(X1)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_20]),c_0_19]) ).
cnf(c_0_590,plain,
( ~ r1(esk1_0,X1)
| ~ p504(X1)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_20]),c_0_19]) ).
cnf(c_0_591,plain,
( ~ r1(esk1_0,X1)
| ~ p404(X1)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_20]),c_0_19]) ).
cnf(c_0_592,plain,
( ~ r1(esk1_0,X1)
| ~ p605(X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_20]),c_0_19]) ).
cnf(c_0_593,plain,
( ~ r1(esk1_0,X1)
| ~ p505(X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_20]),c_0_19]) ).
cnf(c_0_594,negated_conjecture,
( ~ epred7_0
| ~ epred8_0
| ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_9]),c_0_8]),c_0_51]),c_0_50]) ).
cnf(c_0_595,plain,
( ~ p504(X1)
| ~ p404(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_481,c_0_20]) ).
cnf(c_0_596,plain,
( ~ p604(X1)
| ~ p404(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_482,c_0_20]) ).
cnf(c_0_597,plain,
( ~ p604(X1)
| ~ p504(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_483,c_0_20]) ).
cnf(c_0_598,plain,
( ~ p605(X1)
| ~ p505(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_484,c_0_20]) ).
cnf(c_0_599,negated_conjecture,
( ~ epred4_0
| ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_485,c_0_15]),c_0_54]),c_0_52]) ).
cnf(c_0_600,negated_conjecture,
( ~ epred2_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_486,c_0_48]),c_0_55]) ).
cnf(c_0_601,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_262,c_0_520,c_0_266,c_0_521,c_0_270,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_405,c_0_528,c_0_391,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_282,c_0_283,c_0_412,c_0_413,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_179,c_0_178,c_0_284,c_0_123,c_0_542,c_0_543,c_0_544,c_0_545,c_0_546,c_0_298,c_0_547,c_0_548,c_0_549,c_0_550,c_0_551,c_0_263,c_0_299,c_0_183,c_0_167,c_0_271,c_0_184,c_0_174,c_0_185,c_0_161,c_0_407,c_0_163,c_0_277,c_0_109,c_0_552,c_0_553,c_0_363,c_0_364,c_0_180,c_0_554,c_0_555,c_0_365,c_0_556,c_0_557,c_0_367,c_0_368,c_0_182,c_0_558,c_0_559,c_0_309,c_0_310,c_0_560,c_0_561,c_0_307,c_0_312,c_0_562,c_0_563,c_0_116,c_0_308,c_0_564,c_0_565,c_0_566,c_0_567,c_0_447,c_0_448,c_0_400,c_0_166,c_0_374,c_0_164,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_380,c_0_165,c_0_578,c_0_579,c_0_580,c_0_335,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_124,c_0_108,c_0_235,c_0_236,c_0_244,c_0_159,c_0_237,c_0_243,c_0_187,c_0_168,c_0_414,c_0_172,c_0_419,c_0_389,c_0_250,c_0_417,c_0_387,c_0_384,c_0_432,c_0_429,c_0_398,c_0_426,c_0_394,c_0_396,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_162,c_0_248,c_0_40,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL684+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 00:57:07 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.33 Running first-order theorem proving
% 0.06/0.33 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.23/1.21 % Version: 3.5.1
% 5.23/1.21 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.23/1.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.23/1.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.23/1.21 % Starting new_bool_3 with 300s (1) cores
% 5.23/1.21 % Starting new_bool_1 with 300s (1) cores
% 5.23/1.21 % Starting sh5l with 300s (1) cores
% 5.23/1.21 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1261314 completed with status 0
% 5.23/1.21 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 5.23/1.21 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.23/1.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.23/1.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.23/1.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.23/1.21 % No SInE strategy applied
% 5.23/1.21 % Search class: FGHNF-FSLF22-SFFFFFNN
% 5.23/1.21 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.23/1.21 % Starting SubtermCWHack with 136s (1) cores
% 5.23/1.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.23/1.21 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 169s (1) cores
% 5.23/1.21 % Starting new_bool_3 with 169s (1) cores
% 5.23/1.21 % Starting new_bool_1 with 169s (1) cores
% 5.23/1.21 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1261321 completed with status 0
% 5.23/1.21 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 5.23/1.21 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.23/1.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.23/1.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.23/1.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.23/1.21 % No SInE strategy applied
% 5.23/1.21 % Search class: FGHNF-FSLF22-SFFFFFNN
% 5.23/1.21 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.23/1.21 % Starting SubtermCWHack with 136s (1) cores
% 5.23/1.21 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.23/1.21 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 169s (1) cores
% 5.23/1.21 % Preprocessing time : 0.001 s
% 5.23/1.21 % SatCheck found unsatisfiable ground set
% 5.23/1.21
% 5.23/1.21 % Proof found!
% 5.23/1.21 % SZS status Theorem
% 5.23/1.21 % SZS output start CNFRefutation
% See solution above
% 5.23/1.21 % Parsed axioms : 3
% 5.23/1.21 % Removed by relevancy pruning/SinE : 0
% 5.23/1.21 % Initial clauses : 144
% 5.23/1.21 % Removed in clause preprocessing : 0
% 5.23/1.21 % Initial clauses in saturation : 144
% 5.23/1.21 % Processed clauses : 5294
% 5.23/1.21 % ...of these trivial : 0
% 5.23/1.21 % ...subsumed : 294
% 5.23/1.21 % ...remaining for further processing : 5000
% 5.23/1.21 % Other redundant clauses eliminated : 0
% 5.23/1.21 % Clauses deleted for lack of memory : 0
% 5.23/1.21 % Backward-subsumed : 1379
% 5.23/1.21 % Backward-rewritten : 0
% 5.23/1.21 % Generated clauses : 20428
% 5.23/1.21 % ...of the previous two non-redundant : 19411
% 5.23/1.21 % ...aggressively subsumed : 0
% 5.23/1.21 % Contextual simplify-reflections : 477
% 5.23/1.21 % Paramodulations : 20416
% 5.23/1.21 % Factorizations : 0
% 5.23/1.21 % NegExts : 0
% 5.23/1.21 % Equation resolutions : 0
% 5.23/1.21 % Disequality decompositions : 0
% 5.23/1.21 % Total rewrite steps : 1392
% 5.23/1.21 % ...of those cached : 1390
% 5.23/1.21 % Propositional unsat checks : 1
% 5.23/1.21 % Propositional check models : 0
% 5.23/1.21 % Propositional check unsatisfiable : 1
% 5.23/1.21 % Propositional clauses : 16715
% 5.23/1.21 % Propositional clauses after purity: 1039
% 5.23/1.21 % Propositional unsat core size : 191
% 5.23/1.21 % Propositional preprocessing time : 0.000
% 5.23/1.21 % Propositional encoding time : 0.013
% 5.23/1.21 % Propositional solver time : 0.002
% 5.23/1.21 % Success case prop preproc time : 0.000
% 5.23/1.21 % Success case prop encoding time : 0.013
% 5.23/1.21 % Success case prop solver time : 0.002
% 5.23/1.21 % Current number of processed clauses : 3618
% 5.23/1.21 % Positive orientable unit clauses : 2
% 5.23/1.21 % Positive unorientable unit clauses: 0
% 5.23/1.21 % Negative unit clauses : 0
% 5.23/1.21 % Non-unit-clauses : 3616
% 5.23/1.21 % Current number of unprocessed clauses: 13097
% 5.23/1.21 % ...number of literals in the above : 114157
% 5.23/1.21 % Current number of archived formulas : 0
% 5.23/1.21 % Current number of archived clauses : 1379
% 5.23/1.21 % Clause-clause subsumption calls (NU) : 1311120
% 5.23/1.21 % Rec. Clause-clause subsumption calls : 40382
% 5.23/1.21 % Non-unit clause-clause subsumptions : 3294
% 5.23/1.21 % Unit Clause-clause subsumption calls : 7
% 5.23/1.21 % Rewrite failures with RHS unbound : 0
% 5.23/1.21 % BW rewrite match attempts : 0
% 5.23/1.21 % BW rewrite match successes : 0
% 5.23/1.21 % Condensation attempts : 5294
% 5.23/1.21 % Condensation successes : 1144
% 5.23/1.21 % Termbank termtop insertions : 654810
% 5.23/1.21 % Search garbage collected termcells : 3209
% 5.23/1.21
% 5.23/1.21 % -------------------------------------------------
% 5.23/1.21 % User time : 0.836 s
% 5.23/1.21 % System time : 0.012 s
% 5.23/1.21 % Total time : 0.848 s
% 5.23/1.21 % Maximum resident set size: 4472 pages
% 5.23/1.21
% 5.23/1.21 % -------------------------------------------------
% 5.23/1.21 % User time : 3.623 s
% 5.23/1.21 % System time : 0.079 s
% 5.23/1.21 % Total time : 3.702 s
% 5.23/1.21 % Maximum resident set size: 4864 pages
% 5.23/1.21 % E exiting
%------------------------------------------------------------------------------