%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU857^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:28:00 AM UTC 2026
% Result : Theorem 0.11s 0.26s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 30 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 1866 ( 2 equ; 0 cnn)
% Maximal formula atoms : 1776 ( 62 avg)
% Number of connectives : 4767 ( 952 ~;1595 |; 296 &;1923 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 268 ( 14 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 4 ^; 10 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > $o ).
thf(decl_24,type,
epred2_0: a > $o ).
thf(decl_25,type,
epred3_0: a > $o ).
thf(decl_26,type,
esk1_0: a ).
thf(cGAZING_THM43_pme,conjecture,
! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [X4: a] :
( ( ( ( ( X1 @ X4 )
& ~ ( X2 @ X4 ) )
| ( ( X2 @ X4 )
& ~ ( X1 @ X4 ) ) )
& ~ ( X3 @ X4 ) )
| ( ( X3 @ X4 )
& ~ ( ( ( X1 @ X4 )
& ~ ( X2 @ X4 ) )
| ( ( X2 @ X4 )
& ~ ( X1 @ X4 ) ) ) ) ) )
= ( ^ [X4: a] :
( ( ( X1 @ X4 )
& ~ ( ( ( X2 @ X4 )
& ~ ( X3 @ X4 ) )
| ( ( X3 @ X4 )
& ~ ( X2 @ X4 ) ) ) )
| ( ( ( ( X2 @ X4 )
& ~ ( X3 @ X4 ) )
| ( ( X3 @ X4 )
& ~ ( X2 @ X4 ) ) )
& ~ ( X1 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.pfnEbyuuIG/E---3.1_1753894.p',cGAZING_THM43_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [X4: a] :
( ( ( ( ( X1 @ X4 )
& ~ ( X2 @ X4 ) )
| ( ( X2 @ X4 )
& ~ ( X1 @ X4 ) ) )
& ~ ( X3 @ X4 ) )
| ( ( X3 @ X4 )
& ~ ( ( ( X1 @ X4 )
& ~ ( X2 @ X4 ) )
| ( ( X2 @ X4 )
& ~ ( X1 @ X4 ) ) ) ) ) )
= ( ^ [X4: a] :
( ( ( X1 @ X4 )
& ~ ( ( ( X2 @ X4 )
& ~ ( X3 @ X4 ) )
| ( ( X3 @ X4 )
& ~ ( X2 @ X4 ) ) ) )
| ( ( ( ( X2 @ X4 )
& ~ ( X3 @ X4 ) )
| ( ( X3 @ X4 )
& ~ ( X2 @ X4 ) ) )
& ~ ( X1 @ X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cGAZING_THM43_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o,X8: a] :
( ( ( ( ( ( X1 @ X8 )
& ~ ( X2 @ X8 ) )
| ( ( X2 @ X8 )
& ~ ( X1 @ X8 ) ) )
& ~ ( X3 @ X8 ) )
| ( ( X3 @ X8 )
& ~ ( ( ( X1 @ X8 )
& ~ ( X2 @ X8 ) )
| ( ( X2 @ X8 )
& ~ ( X1 @ X8 ) ) ) ) )
<=> ( ( ( X1 @ X8 )
& ~ ( ( ( X2 @ X8 )
& ~ ( X3 @ X8 ) )
| ( ( X3 @ X8 )
& ~ ( X2 @ X8 ) ) ) )
| ( ( ( ( X2 @ X8 )
& ~ ( X3 @ X8 ) )
| ( ( X3 @ X8 )
& ~ ( X2 @ X8 ) ) )
& ~ ( X1 @ X8 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
( ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
thf(c_0_4,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_9,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_10,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_11,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_6]) ).
thf(c_0_13,negated_conjecture,
( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_7]) ).
thf(c_0_14,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_8]) ).
thf(c_0_15,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_16,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_17,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_11]) ).
thf(c_0_18,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_19,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_20,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_21,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_16]) ).
thf(c_0_22,negated_conjecture,
( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_23,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ~ ( epred1_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_19]) ).
thf(c_0_24,negated_conjecture,
epred1_0 @ esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_20]),c_0_15]) ).
thf(c_0_25,negated_conjecture,
( ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_26,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[c_0_23,c_0_15]) ).
thf(c_0_27,negated_conjecture,
~ ( epred3_0 @ esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_24])]) ).
thf(c_0_28,negated_conjecture,
~ ( epred2_0 @ esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_24])]) ).
thf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU857^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n005.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 14:40:01 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running higher-order theorem proving
% 0.11/0.23 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.pfnEbyuuIG/E---3.1_1753894.p
% 0.11/0.26 % Version: 3.5.1-ho
% 0.11/0.26 % Preprocessing class: HSMSSMSSSSSNSSN.
% 0.11/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.26 % Starting new_ho_11 with 1500s (5) cores
% 0.11/0.26 % Starting sh5l with 300s (1) cores
% 0.11/0.26 % Starting new_ho_9 with 300s (1) cores
% 0.11/0.26 % Starting ho_unfolding_4 with 300s (1) cores
% 0.11/0.26 % new_ho_11 with pid 1753922 completed with status 0
% 0.11/0.26 % Result found by new_ho_11
% 0.11/0.26 % Preprocessing class: HSMSSMSSSSSNSSN.
% 0.11/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.26 % Starting new_ho_11 with 1500s (5) cores
% 0.11/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.26 % No SInE strategy applied
% 0.11/0.26 % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.11/0.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.26 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.26 % Starting new_ho_11 with 151s (1) cores
% 0.11/0.26 % Starting sh5l with 136s (1) cores
% 0.11/0.26 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.26 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.26 % new_ho_11 with pid 1753929 completed with status 0
% 0.11/0.26 % Result found by new_ho_11
% 0.11/0.26 % Preprocessing class: HSMSSMSSSSSNSSN.
% 0.11/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.26 % Starting new_ho_11 with 1500s (5) cores
% 0.11/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.26 % No SInE strategy applied
% 0.11/0.26 % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.11/0.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.26 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.26 % Starting new_ho_11 with 151s (1) cores
% 0.11/0.26 % Preprocessing time : 0.001 s
% 0.11/0.26 % Presaturation interreduction done
% 0.11/0.26
% 0.11/0.26 % Proof found!
% 0.11/0.26 % SZS status Theorem
% 0.11/0.26 % SZS output start CNFRefutation
% See solution above
% 0.11/0.26 % Parsed axioms : 2
% 0.11/0.26 % Removed by relevancy pruning/SinE : 0
% 0.11/0.26 % Initial clauses : 262
% 0.11/0.26 % Removed in clause preprocessing : 254
% 0.11/0.26 % Initial clauses in saturation : 8
% 0.11/0.26 % Processed clauses : 18
% 0.11/0.26 % ...of these trivial : 0
% 0.11/0.26 % ...subsumed : 0
% 0.11/0.26 % ...remaining for further processing : 17
% 0.11/0.26 % Other redundant clauses eliminated : 0
% 0.11/0.26 % Clauses deleted for lack of memory : 0
% 0.11/0.26 % Backward-subsumed : 3
% 0.11/0.26 % Backward-rewritten : 4
% 0.11/0.26 % Generated clauses : 6
% 0.11/0.26 % ...of the previous two non-redundant : 5
% 0.11/0.26 % ...aggressively subsumed : 0
% 0.11/0.26 % Contextual simplify-reflections : 7
% 0.11/0.26 % Paramodulations : 5
% 0.11/0.26 % Factorizations : 0
% 0.11/0.26 % NegExts : 0
% 0.11/0.26 % Equation resolutions : 0
% 0.11/0.26 % Disequality decompositions : 0
% 0.11/0.26 % Total rewrite steps : 4
% 0.11/0.26 % ...of those cached : 3
% 0.11/0.26 % Propositional unsat checks : 0
% 0.11/0.26 % Propositional check models : 0
% 0.11/0.26 % Propositional check unsatisfiable : 0
% 0.11/0.26 % Propositional clauses : 0
% 0.11/0.26 % Propositional clauses after purity: 0
% 0.11/0.26 % Propositional unsat core size : 0
% 0.11/0.26 % Propositional preprocessing time : 0.000
% 0.11/0.26 % Propositional encoding time : 0.000
% 0.11/0.26 % Propositional solver time : 0.000
% 0.11/0.26 % Success case prop preproc time : 0.000
% 0.11/0.26 % Success case prop encoding time : 0.000
% 0.11/0.26 % Success case prop solver time : 0.000
% 0.11/0.26 % Current number of processed clauses : 3
% 0.11/0.26 % Positive orientable unit clauses : 1
% 0.11/0.26 % Positive unorientable unit clauses: 0
% 0.11/0.26 % Negative unit clauses : 2
% 0.11/0.26 % Non-unit-clauses : 0
% 0.11/0.26 % Current number of unprocessed clauses: 1
% 0.11/0.26 % ...number of literals in the above : 2
% 0.11/0.26 % Current number of archived formulas : 0
% 0.11/0.26 % Current number of archived clauses : 14
% 0.11/0.26 % Clause-clause subsumption calls (NU) : 9
% 0.11/0.26 % Rec. Clause-clause subsumption calls : 9
% 0.11/0.26 % Non-unit clause-clause subsumptions : 9
% 0.11/0.26 % Unit Clause-clause subsumption calls : 1
% 0.11/0.26 % Rewrite failures with RHS unbound : 0
% 0.11/0.26 % BW rewrite match attempts : 1
% 0.11/0.26 % BW rewrite match successes : 1
% 0.11/0.26 % Condensation attempts : 0
% 0.11/0.26 % Condensation successes : 0
% 0.11/0.26 % Termbank termtop insertions : 8095
% 0.11/0.26 % Search garbage collected termcells : 840
% 0.11/0.26
% 0.11/0.26 % -------------------------------------------------
% 0.11/0.26 % User time : 0.009 s
% 0.11/0.26 % System time : 0.001 s
% 0.11/0.26 % Total time : 0.011 s
% 0.11/0.26 % Maximum resident set size: 4144 pages
% 0.11/0.26
% 0.11/0.26 % -------------------------------------------------
% 0.11/0.26 % User time : 0.018 s
% 0.11/0.26 % System time : 0.015 s
% 0.11/0.26 % Total time : 0.033 s
% 0.11/0.26 % Maximum resident set size: 4864 pages
% 0.11/0.26 % E exiting
%------------------------------------------------------------------------------