TSTP Solution File: SYO877^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO877^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:50:17 EDT 2024
% Result : Theorem 57.06s 13.81s
% Output : CNFRefutation 57.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 29 ( 5 unt; 11 typ; 0 def)
% Number of atoms : 309 ( 24 equ; 0 cnn)
% Maximal formula atoms : 198 ( 17 avg)
% Number of connectives : 4505 ( 105 ~; 143 |; 45 &;4200 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 72 ( 3 ^ 56 !; 13 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
c_False: $o ).
thf(decl_25,type,
c_not: $o > $o ).
thf(decl_26,type,
c_and: $o > $o > $o ).
thf(decl_268,type,
epred143_0: $o ).
thf(decl_282,type,
epred145_2: $o > $o > $o ).
thf(decl_484,type,
esk207_0: $i > $i > $i ).
thf(decl_485,type,
epred153_0: $i > $o ).
thf(decl_486,type,
esk208_0: $i > $i ).
thf(decl_487,type,
esk209_0: $i ).
thf(decl_488,type,
esk210_0: $i ).
thf(decl_489,type,
esk211_0: $i ).
thf(ax13,axiom,
( c_not
= ( ^ [X17: $o] :
( X17
=> c_False ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(conj,conjecture,
( c_not
@ ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i] :
( c_and
@ ( X83
= ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
@ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(ax14,axiom,
( c_and
= ( ^ [X18: $o,X19: $o] :
! [X20: $o] :
( ( X18
=> ( X19
=> X20 ) )
=> X20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(c_0_3,plain,
( epred143_0
<=> ( ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i] :
( ( ( X83
!= ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
| ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $true @ $true ) )
& ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( X83
= ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
| ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $false @ $true ) )
& ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( c_not @ $false ) ) ),
introduced(definition) ).
thf(c_0_4,plain,
( ( ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i] :
( ( ( X83
!= ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
| ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $true @ $true ) )
& ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( X83
= ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
| ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $false @ $true ) )
& ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( c_not @ $false ) )
=> epred143_0 ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
! [X238: $o] :
( ( c_not @ X238 )
<=> ( X238
=> c_False ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])]) ).
thf(c_0_6,negated_conjecture,
~ ( ( ~ ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i] :
( ( ( X83
!= ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
| ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $true @ $true ) )
& ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( X83
= ( X202 @ ( X202 @ X206 @ ( X202 @ X207 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X206 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X206 ) @ ( X202 @ ( X202 @ X207 @ ( X202 @ X83 @ ( X202 @ X83 @ X83 ) ) ) @ X206 ) ) ) @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X205 @ X207 ) @ X206 ) @ ( X202 @ X206 @ X206 ) ) ) @ ( X202 @ X83 @ ( X202 @ X83 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X205 @ X83 ) @ X207 ) ) @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) @ X83 ) @ ( X205 @ ( X202 @ ( X202 @ X207 @ ( X202 @ X206 @ ( X202 @ ( X205 @ ( X202 @ X206 @ X207 ) ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X205 @ X206 ) @ X83 ) ) @ X83 ) @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ ( X202 @ ( X202 @ X83 @ ( X202 @ ( X202 @ X207 @ X206 ) @ X207 ) ) @ X83 ) ) @ X207 ) @ ( X202 @ X207 @ ( X202 @ X206 @ X206 ) ) ) @ X83 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X83 @ ( X202 @ X206 @ X206 ) ) @ ( X205 @ ( X205 @ ( X202 @ X207 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) ) ) @ X206 ) @ X83 ) @ ( X202 @ X83 @ X207 ) ) ) ) @ X206 ) @ X206 ) @ ( X205 @ X83 ) ) ) ) @ ( X202 @ ( X202 @ ( X205 @ ( X202 @ ( X205 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X207 @ ( X202 @ ( X205 @ ( X205 @ ( X202 @ ( X202 @ X206 @ X83 ) @ X207 ) ) ) @ ( X205 @ ( X202 @ X206 @ X206 ) ) ) ) @ X206 ) @ ( X205 @ X206 ) ) @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ ( X202 @ X206 @ X207 ) @ ( X205 @ ( X205 @ ( X205 @ X207 ) ) ) ) @ X207 ) @ X83 ) @ X206 ) ) ) @ ( X202 @ ( X202 @ ( X202 @ X83 @ X206 ) @ ( X205 @ X83 ) ) @ X83 ) ) ) @ X207 ) @ X83 ) ) )
| ( ( ~ ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $false @ $true ) )
& ( ? [X208: $i] : ( X204 @ ( X205 @ X206 ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( c_not @ $true ) )
& epred143_0 ),
inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_3]) ).
thf(c_0_7,plain,
( ( ( esk210_0
!= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| ( esk210_0
= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( esk210_0
= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( esk210_0
= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $false @ $true )
| ( esk210_0
= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ~ ( c_and @ $false @ $true )
| ( esk210_0
= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| epred143_0 )
& ( ( esk210_0
!= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $false @ $true )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ~ ( c_and @ $false @ $true )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ( esk210_0
!= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| ~ ( c_and @ $true @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $true @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $true @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $false @ $true )
| ~ ( c_and @ $true @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ~ ( c_and @ $false @ $true )
| ~ ( c_and @ $true @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| epred143_0 )
& ( ( esk210_0
!= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $false @ $true )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ~ ( c_and @ $false @ $true )
| ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ( esk210_0
!= ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ esk210_0 ) ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ esk211_0 ) @ esk209_0 ) @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ esk210_0 ) @ esk211_0 ) ) @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk208_0 @ esk209_0 ) @ esk210_0 ) ) @ esk210_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) @ esk211_0 ) ) @ esk210_0 ) ) @ esk211_0 ) @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) @ esk210_0 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ esk211_0 @ esk209_0 ) ) ) ) ) ) ) @ esk209_0 ) @ esk210_0 ) @ ( esk207_0 @ esk210_0 @ esk211_0 ) ) ) ) @ esk209_0 ) @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk211_0 @ ( esk207_0 @ ( esk208_0 @ ( esk208_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk210_0 ) @ esk211_0 ) ) ) @ ( esk208_0 @ ( esk207_0 @ esk209_0 @ esk209_0 ) ) ) ) @ esk209_0 ) @ ( esk208_0 @ esk209_0 ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk209_0 @ esk211_0 ) @ ( esk208_0 @ ( esk208_0 @ ( esk208_0 @ esk211_0 ) ) ) ) @ esk211_0 ) @ esk210_0 ) @ esk209_0 ) ) ) @ ( esk207_0 @ ( esk207_0 @ ( esk207_0 @ esk210_0 @ esk209_0 ) @ ( esk208_0 @ esk210_0 ) ) @ esk210_0 ) ) ) @ esk211_0 ) @ esk210_0 ) ) )
| ~ ( c_and @ $true @ $false )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $true @ $false )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $true @ $false )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ~ ( epred153_0 @ ( esk208_0 @ esk209_0 ) )
| ~ ( c_and @ $false @ $true )
| ~ ( c_and @ $true @ $false )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ~ ( c_and @ $false @ $false )
| ~ ( c_and @ $false @ $true )
| ~ ( c_and @ $true @ $false )
| ~ ( c_and @ $true @ $true )
| epred143_0 )
& ( ~ ( c_not @ $false )
| epred143_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])]) ).
thf(c_0_8,plain,
! [X486: $o] :
( ( ~ ( c_not @ X486 )
| ~ X486
| c_False )
& ( X486
| ( c_not @ X486 ) )
& ( ~ c_False
| ( c_not @ X486 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
thf(c_0_9,plain,
! [X239: $o,X240: $o] :
( ( c_and @ X239 @ X240 )
<=> ! [X20: $o] :
( ( X239
=> ( X240
=> X20 ) )
=> X20 ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])]) ).
thf(c_0_10,negated_conjecture,
! [X817: $i > $i > $i,X818: $i > $o,X819: $i > $i,X820: $i,X821: $i,X822: $i] :
( ( ~ ( X818 @ ( X819 @ X820 ) )
| ( c_and @ $true @ $true )
| ( X821
!= ( X817 @ ( X817 @ X820 @ ( X817 @ X822 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X820 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X820 ) @ ( X817 @ ( X817 @ X822 @ ( X817 @ X821 @ ( X817 @ X821 @ X821 ) ) ) @ X820 ) ) ) @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X819 @ X822 ) @ X820 ) @ ( X817 @ X820 @ X820 ) ) ) @ ( X817 @ X821 @ ( X817 @ X821 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X821 ) @ X822 ) ) @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) @ X821 ) @ ( X819 @ ( X817 @ ( X817 @ X822 @ ( X817 @ X820 @ ( X817 @ ( X819 @ ( X817 @ X820 @ X822 ) ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X819 @ X820 ) @ X821 ) ) @ X821 ) @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X822 @ X820 ) @ X822 ) ) @ X821 ) ) @ X822 ) @ ( X817 @ X822 @ ( X817 @ X820 @ X820 ) ) ) @ X821 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ X820 @ X820 ) ) @ ( X819 @ ( X819 @ ( X817 @ X822 @ ( X819 @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) ) ) ) @ X820 ) @ X821 ) @ ( X817 @ X821 @ X822 ) ) ) ) @ X820 ) @ X820 ) @ ( X819 @ X821 ) ) ) ) @ ( X817 @ ( X817 @ ( X819 @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X822 @ ( X817 @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ X820 @ X821 ) @ X822 ) ) ) @ ( X819 @ ( X817 @ X820 @ X820 ) ) ) ) @ X820 ) @ ( X819 @ X820 ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ X822 ) @ ( X819 @ ( X819 @ ( X819 @ X822 ) ) ) ) @ X822 ) @ X821 ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ X820 ) @ ( X819 @ X821 ) ) @ X821 ) ) ) @ X822 ) @ X821 ) ) )
| ~ epred143_0 )
& ( ( X818 @ ( X819 @ X820 ) )
| ( c_and @ $true @ $false )
| ( X821
!= ( X817 @ ( X817 @ X820 @ ( X817 @ X822 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X820 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X820 ) @ ( X817 @ ( X817 @ X822 @ ( X817 @ X821 @ ( X817 @ X821 @ X821 ) ) ) @ X820 ) ) ) @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X819 @ X822 ) @ X820 ) @ ( X817 @ X820 @ X820 ) ) ) @ ( X817 @ X821 @ ( X817 @ X821 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X821 ) @ X822 ) ) @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) @ X821 ) @ ( X819 @ ( X817 @ ( X817 @ X822 @ ( X817 @ X820 @ ( X817 @ ( X819 @ ( X817 @ X820 @ X822 ) ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X819 @ X820 ) @ X821 ) ) @ X821 ) @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X822 @ X820 ) @ X822 ) ) @ X821 ) ) @ X822 ) @ ( X817 @ X822 @ ( X817 @ X820 @ X820 ) ) ) @ X821 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ X820 @ X820 ) ) @ ( X819 @ ( X819 @ ( X817 @ X822 @ ( X819 @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) ) ) ) @ X820 ) @ X821 ) @ ( X817 @ X821 @ X822 ) ) ) ) @ X820 ) @ X820 ) @ ( X819 @ X821 ) ) ) ) @ ( X817 @ ( X817 @ ( X819 @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X822 @ ( X817 @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ X820 @ X821 ) @ X822 ) ) ) @ ( X819 @ ( X817 @ X820 @ X820 ) ) ) ) @ X820 ) @ ( X819 @ X820 ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ X822 ) @ ( X819 @ ( X819 @ ( X819 @ X822 ) ) ) ) @ X822 ) @ X821 ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ X820 ) @ ( X819 @ X821 ) ) @ X821 ) ) ) @ X822 ) @ X821 ) ) )
| ~ epred143_0 )
& ( ~ ( X818 @ ( X819 @ X820 ) )
| ( c_and @ $false @ $true )
| ( X821
= ( X817 @ ( X817 @ X820 @ ( X817 @ X822 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X820 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X820 ) @ ( X817 @ ( X817 @ X822 @ ( X817 @ X821 @ ( X817 @ X821 @ X821 ) ) ) @ X820 ) ) ) @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X819 @ X822 ) @ X820 ) @ ( X817 @ X820 @ X820 ) ) ) @ ( X817 @ X821 @ ( X817 @ X821 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X821 ) @ X822 ) ) @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) @ X821 ) @ ( X819 @ ( X817 @ ( X817 @ X822 @ ( X817 @ X820 @ ( X817 @ ( X819 @ ( X817 @ X820 @ X822 ) ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X819 @ X820 ) @ X821 ) ) @ X821 ) @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X822 @ X820 ) @ X822 ) ) @ X821 ) ) @ X822 ) @ ( X817 @ X822 @ ( X817 @ X820 @ X820 ) ) ) @ X821 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ X820 @ X820 ) ) @ ( X819 @ ( X819 @ ( X817 @ X822 @ ( X819 @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) ) ) ) @ X820 ) @ X821 ) @ ( X817 @ X821 @ X822 ) ) ) ) @ X820 ) @ X820 ) @ ( X819 @ X821 ) ) ) ) @ ( X817 @ ( X817 @ ( X819 @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X822 @ ( X817 @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ X820 @ X821 ) @ X822 ) ) ) @ ( X819 @ ( X817 @ X820 @ X820 ) ) ) ) @ X820 ) @ ( X819 @ X820 ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ X822 ) @ ( X819 @ ( X819 @ ( X819 @ X822 ) ) ) ) @ X822 ) @ X821 ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ X820 ) @ ( X819 @ X821 ) ) @ X821 ) ) ) @ X822 ) @ X821 ) ) )
| ~ epred143_0 )
& ( ( X818 @ ( X819 @ X820 ) )
| ( c_and @ $false @ $false )
| ( X821
= ( X817 @ ( X817 @ X820 @ ( X817 @ X822 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X820 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X820 ) @ ( X817 @ ( X817 @ X822 @ ( X817 @ X821 @ ( X817 @ X821 @ X821 ) ) ) @ X820 ) ) ) @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X819 @ X822 ) @ X820 ) @ ( X817 @ X820 @ X820 ) ) ) @ ( X817 @ X821 @ ( X817 @ X821 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X819 @ X821 ) @ X822 ) ) @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) @ X821 ) @ ( X819 @ ( X817 @ ( X817 @ X822 @ ( X817 @ X820 @ ( X817 @ ( X819 @ ( X817 @ X820 @ X822 ) ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X819 @ X820 ) @ X821 ) ) @ X821 ) @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ ( X817 @ ( X817 @ X821 @ ( X817 @ ( X817 @ X822 @ X820 ) @ X822 ) ) @ X821 ) ) @ X822 ) @ ( X817 @ X822 @ ( X817 @ X820 @ X820 ) ) ) @ X821 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X821 @ ( X817 @ X820 @ X820 ) ) @ ( X819 @ ( X819 @ ( X817 @ X822 @ ( X819 @ ( X819 @ ( X817 @ X822 @ X820 ) ) ) ) ) ) ) @ X820 ) @ X821 ) @ ( X817 @ X821 @ X822 ) ) ) ) @ X820 ) @ X820 ) @ ( X819 @ X821 ) ) ) ) @ ( X817 @ ( X817 @ ( X819 @ ( X817 @ ( X819 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X822 @ ( X817 @ ( X819 @ ( X819 @ ( X817 @ ( X817 @ X820 @ X821 ) @ X822 ) ) ) @ ( X819 @ ( X817 @ X820 @ X820 ) ) ) ) @ X820 ) @ ( X819 @ X820 ) ) @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ ( X817 @ X820 @ X822 ) @ ( X819 @ ( X819 @ ( X819 @ X822 ) ) ) ) @ X822 ) @ X821 ) @ X820 ) ) ) @ ( X817 @ ( X817 @ ( X817 @ X821 @ X820 ) @ ( X819 @ X821 ) ) @ X821 ) ) ) @ X822 ) @ X821 ) ) )
| ~ epred143_0 )
& ( ~ ( c_not @ $true )
| ~ epred143_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])])])])]) ).
thf(c_0_11,plain,
( epred143_0
| ~ ( c_not @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
c_not @ ~ $true,
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_8])])]) ).
thf(c_0_13,plain,
! [X487: $o,X488: $o,X489: $o,X490: $o,X491: $o] :
( ( X487
| X489
| ~ ( c_and @ X487 @ X488 ) )
& ( X488
| X489
| ~ ( c_and @ X487 @ X488 ) )
& ( ~ X489
| X489
| ~ ( c_and @ X487 @ X488 ) )
& ( ~ X490
| ~ X491
| ( epred145_2 @ X490 @ X491 )
| ( c_and @ X490 @ X491 ) )
& ( ~ ( epred145_2 @ X490 @ X491 )
| ( c_and @ X490 @ X491 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).
thf(c_0_14,negated_conjecture,
! [X1: $i > $o,X2: $i,X12: $i > $i,X89: $i > $i > $i,X7: $i,X6: $i] :
( ( X1 @ ( X12 @ X2 ) )
| ( c_and @ $true @ ~ $true )
| ( X6
!= ( X89 @ ( X89 @ X2 @ ( X89 @ X7 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X6 @ ( X89 @ ( X89 @ X2 @ ( X89 @ X2 @ ( X89 @ ( X89 @ X2 @ ( X89 @ ( X12 @ X2 ) @ ( X89 @ ( X89 @ X7 @ ( X89 @ X6 @ ( X89 @ X6 @ X6 ) ) ) @ X2 ) ) ) @ ( X89 @ ( X12 @ ( X89 @ ( X89 @ ( X12 @ X7 ) @ X2 ) @ ( X89 @ X2 @ X2 ) ) ) @ ( X89 @ X6 @ ( X89 @ X6 @ ( X89 @ ( X89 @ ( X89 @ X2 @ ( X89 @ ( X89 @ X2 @ ( X89 @ ( X12 @ X6 ) @ X7 ) ) @ ( X12 @ ( X89 @ X7 @ X2 ) ) ) ) @ X6 ) @ ( X12 @ ( X89 @ ( X89 @ X7 @ ( X89 @ X2 @ ( X89 @ ( X12 @ ( X89 @ X2 @ X7 ) ) @ X2 ) ) ) @ ( X89 @ ( X89 @ ( X89 @ X6 @ ( X89 @ ( X12 @ X2 ) @ X6 ) ) @ X6 ) @ ( X12 @ ( X12 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X2 @ ( X89 @ ( X89 @ X6 @ ( X89 @ ( X89 @ X7 @ X2 ) @ X7 ) ) @ X6 ) ) @ X7 ) @ ( X89 @ X7 @ ( X89 @ X2 @ X2 ) ) ) @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X6 @ ( X89 @ X2 @ X2 ) ) @ ( X12 @ ( X12 @ ( X89 @ X7 @ ( X12 @ ( X12 @ ( X89 @ X7 @ X2 ) ) ) ) ) ) ) @ X2 ) @ X6 ) @ ( X89 @ X6 @ X7 ) ) ) ) @ X2 ) @ X2 ) @ ( X12 @ X6 ) ) ) ) @ ( X89 @ ( X89 @ ( X12 @ ( X89 @ ( X12 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X7 @ ( X89 @ ( X12 @ ( X12 @ ( X89 @ ( X89 @ X2 @ X6 ) @ X7 ) ) ) @ ( X12 @ ( X89 @ X2 @ X2 ) ) ) ) @ X2 ) @ ( X12 @ X2 ) ) @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ ( X89 @ X2 @ X7 ) @ ( X12 @ ( X12 @ ( X12 @ X7 ) ) ) ) @ X7 ) @ X6 ) @ X2 ) ) ) @ ( X89 @ ( X89 @ ( X89 @ X6 @ X2 ) @ ( X12 @ X6 ) ) @ X6 ) ) ) @ X7 ) @ X6 ) ) )
| ~ epred143_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
epred143_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
thf(c_0_16,plain,
! [X5: $o] :
~ ( c_and @ X5 @ ~ $true ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_13])])]) ).
thf(c_0_17,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SYO877^1 : TPTP v8.2.0. Released v7.5.0.
% 0.05/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n026.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon May 20 10:35:23 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.14/0.41 Running higher-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 57.06/13.81 # Version: 3.1.0-ho
% 57.06/13.81 # partial match(1): HSLMSMSSSSLCHSA
% 57.06/13.81 # Preprocessing class: HSLMSLSSSSLCHSA.
% 57.06/13.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 57.06/13.81 # Starting pre_casc_6 with 1500s (5) cores
% 57.06/13.81 # Starting ehoh_best7 with 300s (1) cores
% 57.06/13.81 # Starting new_bool_8 with 300s (1) cores
% 57.06/13.81 # Starting new_ho_11 with 300s (1) cores
% 57.06/13.81 # new_ho_11 with pid 32265 completed with status 0
% 57.06/13.81 # Result found by new_ho_11
% 57.06/13.81 # partial match(1): HSLMSMSSSSLCHSA
% 57.06/13.81 # Preprocessing class: HSLMSLSSSSLCHSA.
% 57.06/13.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 57.06/13.81 # Starting pre_casc_6 with 1500s (5) cores
% 57.06/13.81 # Starting ehoh_best7 with 300s (1) cores
% 57.06/13.81 # Starting new_bool_8 with 300s (1) cores
% 57.06/13.81 # Starting new_ho_11 with 300s (1) cores
% 57.06/13.81 # No SInE strategy applied
% 57.06/13.81 # Search class: HGHSM-SMLM33-DHSFFSBC
% 57.06/13.81 # partial match(1): HGHSM-SMLM32-DHSFFSBC
% 57.06/13.81 # Scheduled 6 strats onto 1 cores with 288 seconds (288 total)
% 57.06/13.81 # Starting new_ho_10 with 87s (1) cores
% 57.06/13.81 # new_ho_10 with pid 32493 completed with status 0
% 57.06/13.81 # Result found by new_ho_10
% 57.06/13.81 # partial match(1): HSLMSMSSSSLCHSA
% 57.06/13.81 # Preprocessing class: HSLMSLSSSSLCHSA.
% 57.06/13.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 57.06/13.81 # Starting pre_casc_6 with 1500s (5) cores
% 57.06/13.81 # Starting ehoh_best7 with 300s (1) cores
% 57.06/13.81 # Starting new_bool_8 with 300s (1) cores
% 57.06/13.81 # Starting new_ho_11 with 300s (1) cores
% 57.06/13.81 # No SInE strategy applied
% 57.06/13.81 # Search class: HGHSM-SMLM33-DHSFFSBC
% 57.06/13.81 # partial match(1): HGHSM-SMLM32-DHSFFSBC
% 57.06/13.81 # Scheduled 6 strats onto 1 cores with 288 seconds (288 total)
% 57.06/13.81 # Starting new_ho_10 with 87s (1) cores
% 57.06/13.81 # Preprocessing time : 0.150 s
% 57.06/13.81 # Presaturation interreduction done
% 57.06/13.81
% 57.06/13.81 # Proof found!
% 57.06/13.81 # SZS status Theorem
% 57.06/13.81 # SZS output start CNFRefutation
% See solution above
% 57.06/13.81 # Parsed axioms : 213
% 57.06/13.81 # Removed by relevancy pruning/SinE : 0
% 57.06/13.81 # Initial clauses : 468714
% 57.06/13.81 # Removed in clause preprocessing : 463874
% 57.06/13.81 # Initial clauses in saturation : 4840
% 57.06/13.81 # Processed clauses : 4899
% 57.06/13.81 # ...of these trivial : 162
% 57.06/13.81 # ...subsumed : 3312
% 57.06/13.81 # ...remaining for further processing : 1424
% 57.06/13.81 # Other redundant clauses eliminated : 72
% 57.06/13.81 # Clauses deleted for lack of memory : 0
% 57.06/13.81 # Backward-subsumed : 154
% 57.06/13.81 # Backward-rewritten : 2
% 57.06/13.81 # Generated clauses : 59
% 57.06/13.81 # ...of the previous two non-redundant : 61
% 57.06/13.81 # ...aggressively subsumed : 0
% 57.06/13.81 # Contextual simplify-reflections : 218
% 57.06/13.81 # Paramodulations : 0
% 57.06/13.81 # Factorizations : 0
% 57.06/13.81 # NegExts : 0
% 57.06/13.81 # Equation resolutions : 72
% 57.06/13.81 # Disequality decompositions : 0
% 57.06/13.81 # Total rewrite steps : 371
% 57.06/13.81 # ...of those cached : 359
% 57.06/13.81 # Propositional unsat checks : 0
% 57.06/13.81 # Propositional check models : 0
% 57.06/13.81 # Propositional check unsatisfiable : 0
% 57.06/13.81 # Propositional clauses : 0
% 57.06/13.81 # Propositional clauses after purity: 0
% 57.06/13.81 # Propositional unsat core size : 0
% 57.06/13.81 # Propositional preprocessing time : 0.000
% 57.06/13.81 # Propositional encoding time : 0.000
% 57.06/13.81 # Propositional solver time : 0.000
% 57.06/13.81 # Success case prop preproc time : 0.000
% 57.06/13.81 # Success case prop encoding time : 0.000
% 57.06/13.81 # Success case prop solver time : 0.000
% 57.06/13.81 # Current number of processed clauses : 1209
% 57.06/13.81 # Positive orientable unit clauses : 48
% 57.06/13.81 # Positive unorientable unit clauses: 4
% 57.06/13.81 # Negative unit clauses : 20
% 57.06/13.81 # Non-unit-clauses : 1137
% 57.06/13.81 # Current number of unprocessed clauses: 2
% 57.06/13.81 # ...number of literals in the above : 8
% 57.06/13.81 # Current number of archived formulas : 0
% 57.06/13.81 # Current number of archived clauses : 156
% 57.06/13.81 # Clause-clause subsumption calls (NU) : 973363
% 57.06/13.81 # Rec. Clause-clause subsumption calls : 182614
% 57.06/13.81 # Non-unit clause-clause subsumptions : 1336
% 57.06/13.81 # Unit Clause-clause subsumption calls : 4394
% 57.06/13.81 # Rewrite failures with RHS unbound : 0
% 57.06/13.81 # BW rewrite match attempts : 10
% 57.06/13.81 # BW rewrite match successes : 2
% 57.06/13.81 # Condensation attempts : 4899
% 57.06/13.81 # Condensation successes : 217
% 57.06/13.81 # Termbank termtop insertions : 20105556
% 57.06/13.81 # Search garbage collected termcells : 2011619
% 57.06/13.81
% 57.06/13.81 # -------------------------------------------------
% 57.06/13.81 # User time : 12.236 s
% 57.06/13.81 # System time : 0.762 s
% 57.06/13.81 # Total time : 12.998 s
% 57.06/13.81 # Maximum resident set size: 1255112 pages
% 57.06/13.81
% 57.06/13.81 # -------------------------------------------------
% 57.06/13.81 # User time : 12.240 s
% 57.06/13.81 # System time : 0.865 s
% 57.06/13.81 # Total time : 13.105 s
% 57.06/13.81 # Maximum resident set size: 2192 pages
% 57.06/13.81 % E---3.1 exiting
% 57.06/13.82 % E exiting
%------------------------------------------------------------------------------