%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL644+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 : n008.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 01:14:50 PM UTC 2026
% Result : Theorem 0.49s 0.65s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 2498 ( 0 equ)
% Maximal formula atoms : 1810 ( 208 avg)
% Number of connectives : 4092 (1606 ~;2098 |; 383 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 202 ( 31 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-1 aty)
% Number of variables : 267 ( 0 sgn 264 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ( ~ ( ! [X2] :
( ~ ( p1(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& p1(X2) )
| p2(X2)
| p1(X2)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1) )
| p2(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p1(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& p1(X2) )
| p2(X2)
| ! [X1] :
( p1(X1)
| ~ ( ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
& p2(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p1(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& p1(X2) )
| p2(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p1(X2)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| p5(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| p5(X2)
| ~ r1(X1,X2) )
| ~ ( ~ ( ! [X2] :
( ~ ( p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| p3(X2)
| p2(X2)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p2(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
& p2(X1) )
| p3(X1)
| ~ r1(X2,X1) )
| p2(X2)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| p3(X2)
| ! [X1] :
( p2(X1)
| ~ ( ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
& p3(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| p3(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p2(X2)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| ~ r1(X1,X2) ) )
| ~ ( ~ ( ! [X2] :
( ~ ( p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| p4(X2)
| p3(X2)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p3(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
& p3(X1) )
| p4(X1)
| ~ r1(X2,X1) )
| p3(X2)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| p4(X2)
| ! [X1] :
( p3(X1)
| ~ ( ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
& p4(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| p4(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p3(X2)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| ~ r1(X1,X2) ) )
| ~ ( ~ ( ! [X2] :
( ~ ( p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| p5(X2)
| p4(X2)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p4(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
& p4(X1) )
| p5(X1)
| ~ r1(X2,X1) )
| p4(X2)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| p5(X2)
| ! [X1] :
( p4(X1)
| ~ ( ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| p5(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p4(X2)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| ~ r1(X1,X2) ) )
| ~ ( ~ ( ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| p6(X2)
| p5(X2)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
& p6(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
| p6(X1)
| ~ r1(X2,X1) )
| p5(X2)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
& p6(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| p6(X2)
| ! [X1] :
( p5(X1)
| ~ ( ! [X2] :
( p6(X2)
| ~ r1(X1,X2) )
& p6(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| p6(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p5(X2)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
& p6(X2) )
| ~ r1(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( ~ ( ! [X2] :
( ~ ( p1(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& p1(X2) )
| p2(X2)
| p1(X2)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1) )
| p2(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p1(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& p1(X2) )
| p2(X2)
| ! [X1] :
( p1(X1)
| ~ ( ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
& p2(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p1(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& p1(X2) )
| p2(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p1(X2)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| p5(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| p5(X2)
| ~ r1(X1,X2) )
| ~ ( ~ ( ! [X2] :
( ~ ( p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| p3(X2)
| p2(X2)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p2(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
& p2(X1) )
| p3(X1)
| ~ r1(X2,X1) )
| p2(X2)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| p3(X2)
| ! [X1] :
( p2(X1)
| ~ ( ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
& p3(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| p3(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p2(X2)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| ~ r1(X1,X2) ) )
| ~ ( ~ ( ! [X2] :
( ~ ( p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| p4(X2)
| p3(X2)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p3(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
& p3(X1) )
| p4(X1)
| ~ r1(X2,X1) )
| p3(X2)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| p4(X2)
| ! [X1] :
( p3(X1)
| ~ ( ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
& p4(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| p4(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p3(X2)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| ~ r1(X1,X2) ) )
| ~ ( ~ ( ! [X2] :
( ~ ( p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| p5(X2)
| p4(X2)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p4(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
& p4(X1) )
| p5(X1)
| ~ r1(X2,X1) )
| p4(X2)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| p5(X2)
| ! [X1] :
( p4(X1)
| ~ ( ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| p5(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p4(X2)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| ~ r1(X1,X2) ) )
| ~ ( ~ ( ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| p6(X2)
| p5(X2)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
& p6(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ~ ( p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
| p6(X1)
| ~ r1(X2,X1) )
| p5(X2)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
& p6(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| p6(X2)
| ! [X1] :
( p5(X1)
| ~ ( ! [X2] :
( p6(X2)
| ~ r1(X1,X2) )
& p6(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| p6(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p5(X2)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
& p6(X2) )
| ~ r1(X1,X2) ) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ( ! [X2] :
( ! [X1] :
( ~ ( p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
| p6(X1)
| ~ r1(X2,X1) )
| p5(X2)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
& p6(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| p6(X2)
| ! [X1] :
( p5(X1)
| ~ ( ! [X2] :
( p6(X2)
| ~ r1(X1,X2) )
& p6(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1] :
( epred2_1(X1)
<=> ( ! [X2] :
( ! [X1] :
( ~ ( p4(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
& p4(X1) )
| p5(X1)
| ~ r1(X2,X1) )
| p4(X2)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| p5(X2)
| ! [X1] :
( p4(X1)
| ~ ( ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
& p5(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ) ),
introduced(definition) ).
fof(c_0_4,plain,
! [X1] :
( epred3_1(X1)
<=> ( ! [X2] :
( ! [X1] :
( ~ ( p3(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
& p3(X1) )
| p4(X1)
| ~ r1(X2,X1) )
| p3(X2)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| p4(X2)
| ! [X1] :
( p3(X1)
| ~ ( ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
& p4(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ) ),
introduced(definition) ).
fof(c_0_5,plain,
! [X1] :
( epred4_1(X1)
<=> ( ! [X2] :
( ! [X1] :
( ~ ( p2(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
& p2(X1) )
| p3(X1)
| ~ r1(X2,X1) )
| p2(X2)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| p3(X2)
| ! [X1] :
( p2(X1)
| ~ ( ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
& p3(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
! [X1] :
( epred5_1(X1)
<=> ( ! [X2] :
( ! [X1] :
( ~ ( p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1) )
| p2(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ( p1(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& p1(X2) )
| p2(X2)
| ! [X1] :
( p1(X1)
| ~ ( ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
& p2(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ) ),
introduced(definition) ).
fof(c_0_7,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( ~ ( ! [X2] :
( ~ ( p1(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& p1(X2) )
| p2(X2)
| p1(X2)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| ~ r1(X1,X2) )
& epred5_1(X1) )
| ! [X2] :
( ~ ( p1(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& p1(X2) )
| p2(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p1(X2)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| ~ r1(X1,X2) ) )
| ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| p5(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| p5(X2)
| ~ r1(X1,X2) )
| ~ ( ~ ( ! [X2] :
( ~ ( p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| p3(X2)
| p2(X2)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| ~ r1(X1,X2) )
& epred4_1(X1) )
| ! [X2] :
( ~ ( p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) )
& p2(X2) )
| p3(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p2(X2)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| ~ r1(X1,X2) ) )
| ~ ( ~ ( ! [X2] :
( ~ ( p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| p4(X2)
| p3(X2)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| ~ r1(X1,X2) )
& epred3_1(X1) )
| ! [X2] :
( ~ ( p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
& p3(X2) )
| p4(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p3(X2)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| ~ r1(X1,X2) ) )
| ~ ( ~ ( ! [X2] :
( ~ ( p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| p5(X2)
| p4(X2)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| ~ r1(X1,X2) )
& epred2_1(X1) )
| ! [X2] :
( ~ ( p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
& p4(X2) )
| p5(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p4(X2)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| ~ r1(X1,X2) ) )
| ~ ( ~ ( ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| p6(X2)
| p5(X2)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
& p6(X2) )
| ~ r1(X1,X2) )
& epred1_1(X1) )
| ! [X2] :
( ~ ( p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
& p5(X2) )
| p6(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p5(X2)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
& p6(X2) )
| ~ r1(X1,X2) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1]),c_0_2]),c_0_3]),c_0_4]),c_0_5]),c_0_6]) ).
fof(c_0_8,negated_conjecture,
! [X4,X6,X9,X10,X11,X13,X16,X17,X18,X20,X23,X24,X25,X27,X30,X31,X33,X35,X36,X38,X41,X42] :
( ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(X42)
| ~ r1(esk18_0,X42) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| ~ p2(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| ~ p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p2(X41)
| ~ r1(esk18_0,X41) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p2(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| r1(esk1_0,esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(X42)
| ~ r1(esk18_0,X42) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| ~ p2(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| ~ p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p2(X41)
| ~ r1(esk18_0,X41) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p2(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| ~ p2(esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| r1(esk1_0,esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(X42)
| ~ r1(esk18_0,X42) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| ~ p2(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| ~ p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p2(X41)
| ~ r1(esk18_0,X41) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| p2(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| ~ p1(esk17_1(X38))
| ~ epred5_1(esk1_0)
| r1(esk1_0,esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(X42)
| ~ r1(esk18_0,X42) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| ~ p2(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| ~ p1(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p2(X41)
| ~ r1(esk18_0,X41) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| p2(esk18_0) )
& ( p1(X36)
| ~ r1(esk1_0,X36)
| ~ p2(X36)
| r1(X36,esk16_1(X36))
| p2(X38)
| ~ r1(esk1_0,X38)
| ~ p1(X38)
| ~ p1(X38)
| r1(X38,esk17_1(X38))
| ~ epred5_1(esk1_0)
| r1(esk1_0,esk18_0) )
& p5(esk15_0)
& ( p5(X35)
| ~ r1(esk15_0,X35) )
& ~ p5(esk15_0)
& r1(esk1_0,esk15_0)
& p5(esk14_0)
& ( p5(X33)
| ~ r1(esk14_0,X33) )
& ~ p5(esk14_0)
& r1(esk1_0,esk14_0)
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(X31)
| ~ r1(esk13_0,X31) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| ~ p3(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| ~ p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p3(X30)
| ~ r1(esk13_0,X30) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p3(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| r1(esk1_0,esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(X31)
| ~ r1(esk13_0,X31) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| ~ p3(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| ~ p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p3(X30)
| ~ r1(esk13_0,X30) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p3(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| ~ p3(esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| r1(esk1_0,esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(X31)
| ~ r1(esk13_0,X31) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| ~ p3(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| ~ p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p3(X30)
| ~ r1(esk13_0,X30) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| p3(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| ~ p2(esk12_1(X27))
| ~ epred4_1(esk1_0)
| r1(esk1_0,esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(X31)
| ~ r1(esk13_0,X31) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| ~ p3(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| ~ p2(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p3(X30)
| ~ r1(esk13_0,X30) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| p3(esk13_0) )
& ( p2(X25)
| ~ r1(esk1_0,X25)
| ~ p3(X25)
| r1(X25,esk11_1(X25))
| p3(X27)
| ~ r1(esk1_0,X27)
| ~ p2(X27)
| ~ p2(X27)
| r1(X27,esk12_1(X27))
| ~ epred4_1(esk1_0)
| r1(esk1_0,esk13_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(X24)
| ~ r1(esk10_0,X24) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| ~ p4(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| ~ p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p4(X23)
| ~ r1(esk10_0,X23) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p4(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| r1(esk1_0,esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(X24)
| ~ r1(esk10_0,X24) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| ~ p4(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| ~ p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p4(X23)
| ~ r1(esk10_0,X23) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p4(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| ~ p4(esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| r1(esk1_0,esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(X24)
| ~ r1(esk10_0,X24) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| ~ p4(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| ~ p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p4(X23)
| ~ r1(esk10_0,X23) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| p4(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| ~ p3(esk9_1(X20))
| ~ epred3_1(esk1_0)
| r1(esk1_0,esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(X24)
| ~ r1(esk10_0,X24) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| ~ p4(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| ~ p3(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p4(X23)
| ~ r1(esk10_0,X23) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| p4(esk10_0) )
& ( p3(X18)
| ~ r1(esk1_0,X18)
| ~ p4(X18)
| r1(X18,esk8_1(X18))
| p4(X20)
| ~ r1(esk1_0,X20)
| ~ p3(X20)
| ~ p3(X20)
| r1(X20,esk9_1(X20))
| ~ epred3_1(esk1_0)
| r1(esk1_0,esk10_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(X17)
| ~ r1(esk7_0,X17) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| ~ p5(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| ~ p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p5(X16)
| ~ r1(esk7_0,X16) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p5(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| r1(esk1_0,esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(X17)
| ~ r1(esk7_0,X17) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| ~ p5(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| ~ p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p5(X16)
| ~ r1(esk7_0,X16) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p5(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| ~ p5(esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| r1(esk1_0,esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(X17)
| ~ r1(esk7_0,X17) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| ~ p5(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| ~ p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p5(X16)
| ~ r1(esk7_0,X16) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| p5(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| ~ p4(esk6_1(X13))
| ~ epred2_1(esk1_0)
| r1(esk1_0,esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(X17)
| ~ r1(esk7_0,X17) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| ~ p5(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| ~ p4(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p5(X16)
| ~ r1(esk7_0,X16) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| p5(esk7_0) )
& ( p4(X11)
| ~ r1(esk1_0,X11)
| ~ p5(X11)
| r1(X11,esk5_1(X11))
| p5(X13)
| ~ r1(esk1_0,X13)
| ~ p4(X13)
| ~ p4(X13)
| r1(X13,esk6_1(X13))
| ~ epred2_1(esk1_0)
| r1(esk1_0,esk7_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(X10)
| ~ r1(esk4_0,X10) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| ~ p6(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| ~ p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p6(X9)
| ~ r1(esk4_0,X9) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p6(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| r1(esk1_0,esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(X10)
| ~ r1(esk4_0,X10) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| ~ p6(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| ~ p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p6(X9)
| ~ r1(esk4_0,X9) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p6(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| ~ p6(esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| r1(esk1_0,esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(X10)
| ~ r1(esk4_0,X10) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| ~ p6(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| ~ p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p6(X9)
| ~ r1(esk4_0,X9) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| p6(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| ~ p5(esk3_1(X6))
| ~ epred1_1(esk1_0)
| r1(esk1_0,esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(X10)
| ~ r1(esk4_0,X10) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| ~ p6(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| ~ p5(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p6(X9)
| ~ r1(esk4_0,X9) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| p6(esk4_0) )
& ( p5(X4)
| ~ r1(esk1_0,X4)
| ~ p6(X4)
| r1(X4,esk2_1(X4))
| p6(X6)
| ~ r1(esk1_0,X6)
| ~ p5(X6)
| ~ p5(X6)
| r1(X6,esk3_1(X6))
| ~ epred1_1(esk1_0)
| r1(esk1_0,esk4_0) ) ),
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_7])])])])])]) ).
cnf(c_0_9,negated_conjecture,
~ p5(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_10,negated_conjecture,
p5(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n008.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 00:45:10 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.54 Running first-order theorem proving
% 0.28/0.54 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
% 0.49/0.65 % Version: 3.5.1
% 0.49/0.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.49/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.49/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.49/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.49/0.65 % Starting sh5l with 300s (1) cores
% 0.49/0.65 % new_bool_1 with pid 3985754 completed with status 0
% 0.49/0.65 % Result found by new_bool_1
% 0.49/0.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.49/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.49/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.49/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.49/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.49/0.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.49/0.65 % Search class: FGUNF-FSLS11-SFFFFFNN
% 0.49/0.65 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.49/0.65 % Starting SubtermCWHack with 31s (1) cores
% 0.49/0.65 % SubtermCWHack with pid 3985756 completed with status 0
% 0.49/0.65 % Result found by SubtermCWHack
% 0.49/0.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.49/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.49/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.49/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.49/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.49/0.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.49/0.65 % Search class: FGUNF-FSLS11-SFFFFFNN
% 0.49/0.65 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.49/0.65 % Starting SubtermCWHack with 31s (1) cores
% 0.49/0.65 % Preprocessing time : 0.011 s
% 0.49/0.65
% 0.49/0.65 % Proof found!
% 0.49/0.65 % SZS status Theorem
% 0.49/0.65 % SZS output start CNFRefutation
% See solution above
% 0.49/0.65 % Parsed axioms : 1
% 0.49/0.65 % Removed by relevancy pruning/SinE : 0
% 0.49/0.65 % Initial clauses : 573
% 0.49/0.65 % Removed in clause preprocessing : 0
% 0.49/0.65 % Initial clauses in saturation : 573
% 0.49/0.65 % Processed clauses : 3
% 0.49/0.65 % ...of these trivial : 0
% 0.49/0.65 % ...subsumed : 0
% 0.49/0.65 % ...remaining for further processing : 2
% 0.49/0.65 % Other redundant clauses eliminated : 0
% 0.49/0.65 % Clauses deleted for lack of memory : 0
% 0.49/0.65 % Backward-subsumed : 0
% 0.49/0.65 % Backward-rewritten : 0
% 0.49/0.65 % Generated clauses : 0
% 0.49/0.65 % ...of the previous two non-redundant : 0
% 0.49/0.65 % ...aggressively subsumed : 0
% 0.49/0.65 % Contextual simplify-reflections : 0
% 0.49/0.65 % Paramodulations : 0
% 0.49/0.65 % Factorizations : 0
% 0.49/0.65 % NegExts : 0
% 0.49/0.65 % Equation resolutions : 0
% 0.49/0.65 % Disequality decompositions : 0
% 0.49/0.65 % Total rewrite steps : 1
% 0.49/0.65 % ...of those cached : 0
% 0.49/0.65 % Propositional unsat checks : 0
% 0.49/0.65 % Propositional check models : 0
% 0.49/0.65 % Propositional check unsatisfiable : 0
% 0.49/0.65 % Propositional clauses : 0
% 0.49/0.65 % Propositional clauses after purity: 0
% 0.49/0.65 % Propositional unsat core size : 0
% 0.49/0.65 % Propositional preprocessing time : 0.000
% 0.49/0.65 % Propositional encoding time : 0.000
% 0.49/0.65 % Propositional solver time : 0.000
% 0.49/0.65 % Success case prop preproc time : 0.000
% 0.49/0.65 % Success case prop encoding time : 0.000
% 0.49/0.65 % Success case prop solver time : 0.000
% 0.49/0.65 % Current number of processed clauses : 2
% 0.49/0.65 % Positive orientable unit clauses : 2
% 0.49/0.65 % Positive unorientable unit clauses: 0
% 0.49/0.65 % Negative unit clauses : 0
% 0.49/0.65 % Non-unit-clauses : 0
% 0.49/0.65 % Current number of unprocessed clauses: 570
% 0.49/0.65 % ...number of literals in the above : 3042
% 0.49/0.65 % Current number of archived formulas : 0
% 0.49/0.65 % Current number of archived clauses : 0
% 0.49/0.65 % Clause-clause subsumption calls (NU) : 0
% 0.49/0.65 % Rec. Clause-clause subsumption calls : 0
% 0.49/0.65 % Non-unit clause-clause subsumptions : 0
% 0.49/0.65 % Unit Clause-clause subsumption calls : 0
% 0.49/0.65 % Rewrite failures with RHS unbound : 0
% 0.49/0.65 % BW rewrite match attempts : 0
% 0.49/0.65 % BW rewrite match successes : 0
% 0.49/0.65 % Condensation attempts : 0
% 0.49/0.65 % Condensation successes : 0
% 0.49/0.65 % Termbank termtop insertions : 26548
% 0.49/0.65 % Search garbage collected termcells : 4097
% 0.49/0.65
% 0.49/0.65 % -------------------------------------------------
% 0.49/0.65 % User time : 0.039 s
% 0.49/0.65 % System time : 0.008 s
% 0.49/0.65 % Total time : 0.047 s
% 0.49/0.65 % Maximum resident set size: 4420 pages
% 0.49/0.65
% 0.49/0.65 % -------------------------------------------------
% 0.49/0.65 % User time : 0.044 s
% 0.49/0.65 % System time : 0.014 s
% 0.49/0.65 % Total time : 0.057 s
% 0.49/0.65 % Maximum resident set size: 4608 pages
% 0.49/0.65 % E exiting
%------------------------------------------------------------------------------