TSTP Solution File: SYO873^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO873^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 85.27s 17.73s
% Output : CNFRefutation 85.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 38
% Syntax : Number of formulae : 76 ( 12 unt; 28 typ; 0 def)
% Number of atoms : 2525 ( 43 equ; 0 cnn)
% Maximal formula atoms : 695 ( 52 avg)
% Number of connectives : 11126 ( 752 ~;1233 |; 492 &;8561 @)
% ( 10 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 79 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 118 ( 118 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 6 con; 0-3 aty)
% Number of variables : 162 ( 3 ^ 91 !; 68 ?; 162 :)
% 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_29,type,
c_In: $i > $i > $o ).
thf(decl_30,type,
c_Subq: $i > $i > $o ).
thf(decl_31,type,
c_Empty: $i ).
thf(decl_33,type,
c_Power: $i > $i ).
thf(decl_35,type,
c_TransSet: $i > $o ).
thf(decl_41,type,
c_exactly2: $i > $o ).
thf(decl_71,type,
c_binintersect: $i > $i > $i ).
thf(decl_79,type,
c_ordsucc: $i > $i ).
thf(decl_93,type,
c_binrep: $i > $i > $i ).
thf(decl_95,type,
c_setprod: $i > $i > $i ).
thf(decl_113,type,
c_SNo: $i > $o ).
thf(decl_268,type,
epred143_2: ( $i > $i ) > $i > $o ).
thf(decl_271,type,
epred146_3: $i > ( $i > $i ) > ( $i > $o ) > $o ).
thf(decl_272,type,
epred147_3: $i > ( $i > $i ) > ( $i > $o ) > $o ).
thf(decl_274,type,
epred149_0: $o ).
thf(decl_275,type,
epred150_2: ( $i > $i ) > ( $i > $o ) > $o ).
thf(decl_276,type,
epred151_2: ( $i > $i ) > ( $i > $o ) > $o ).
thf(decl_277,type,
esk1_0: $i ).
thf(decl_290,type,
epred153_2: $o > $o > $o ).
thf(decl_335,type,
epred159_0: $i > $o ).
thf(decl_336,type,
esk52_0: $i > $i ).
thf(decl_505,type,
esk219_2: ( $i > $o ) > ( $i > $i ) > $i ).
thf(decl_506,type,
esk220_2: ( $i > $o ) > ( $i > $i ) > $i ).
thf(decl_507,type,
esk221_2: ( $i > $o ) > ( $i > $i ) > $i ).
thf(decl_508,type,
esk222_2: ( $i > $o ) > ( $i > $i ) > $i ).
thf(conj,conjecture,
( c_not
@ ! [X1: $i > $o,X201: $i > $i] :
( c_and
@ ( ( ( X1 @ ( X201 @ ( c_binintersect @ ( X201 @ ( c_Power @ c_Empty ) ) @ ( X201 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
=> ( ( c_TransSet @ ( X201 @ c_Empty ) )
=> ! [X9: $i] :
( ( c_In @ X9 @ c_Empty )
=> ? [X13: $i] : ( c_and @ ( c_Subq @ X13 @ X9 ) @ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) ) ) ) ) )
=> ? [X9: $i] :
( c_and
@ ? [X13: $i] :
( c_and @ ( c_Subq @ X13 @ X9 )
@ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] : ( c_and @ ( c_Subq @ X66 @ X9 ) @ ( c_not @ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) ) ) ) ) )
@ ( c_not @ ( c_SNo @ X9 ) ) ) )
@ ( c_not @ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(ax13,axiom,
( c_not
= ( ^ [X17: $o] :
( X17
=> c_False ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(ax5,axiom,
( c_not
@ ? [X7: $i] : ( c_In @ X7 @ c_Empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(ax14,axiom,
( c_and
= ( ^ [X18: $o,X19: $o] :
! [X20: $o] :
( ( X18
=> ( X19
=> X20 ) )
=> X20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(c_0_4,plain,
( epred149_0
<=> ( ~ ! [X1: $i > $o,X201: $i > $i] :
( ( ~ ( ( ( X1 @ ( X201 @ ( c_binintersect @ ( X201 @ ( c_Power @ c_Empty ) ) @ ( X201 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
=> ( ( c_TransSet @ ( X201 @ c_Empty ) )
=> ! [X9: $i] :
( ( c_In @ X9 @ c_Empty )
=> ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) ) ) )
=> ? [X9: $i] :
( ( ~ ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( ( ( X1 @ ( X201 @ ( c_binintersect @ ( X201 @ ( c_Power @ c_Empty ) ) @ ( X201 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
=> ( ( c_TransSet @ ( X201 @ c_Empty ) )
=> ! [X9: $i] :
( ( c_In @ X9 @ c_Empty )
=> ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) ) ) )
=> ? [X9: $i] :
( ( ~ ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( c_not @ $true ) ) ),
introduced(definition) ).
thf(c_0_5,plain,
! [X1: $i > $o,X201: $i > $i] :
( ( epred150_2 @ X201 @ X1 )
<=> ( ~ ( ( ( X1 @ ( X201 @ ( c_binintersect @ ( X201 @ ( c_Power @ c_Empty ) ) @ ( X201 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
=> ( ( c_TransSet @ ( X201 @ c_Empty ) )
=> ! [X9: $i] :
( ( c_In @ X9 @ c_Empty )
=> ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) ) ) )
=> ? [X9: $i] :
( ( ~ ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) ) ),
introduced(definition) ).
thf(c_0_6,plain,
! [X1: $i > $o,X201: $i > $i] :
( ( epred151_2 @ X201 @ X1 )
<=> ( ( ( ( X1 @ ( X201 @ ( c_binintersect @ ( X201 @ ( c_Power @ c_Empty ) ) @ ( X201 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
=> ( ( c_TransSet @ ( X201 @ c_Empty ) )
=> ! [X9: $i] :
( ( c_In @ X9 @ c_Empty )
=> ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) ) ) )
=> ? [X9: $i] :
( ( ~ ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ),
introduced(definition) ).
thf(c_0_7,negated_conjecture,
~ ( epred149_0
& ( ! [X1: $i > $o,X201: $i > $i] :
( ( epred150_2 @ X201 @ X1 )
& ( epred151_2 @ X201 @ X1 ) )
| ( c_not @ $false ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_4]),c_0_5]),c_0_6]) ).
thf(c_0_8,plain,
! [X231: $o] :
( ( c_not @ X231 )
<=> ( X231
=> c_False ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])]) ).
thf(c_0_9,plain,
( ( ~ ! [X1: $i > $o,X201: $i > $i] :
( ( epred150_2 @ X201 @ X1 )
& ( epred151_2 @ X201 @ X1 ) )
| ( c_not @ $true ) )
=> epred149_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_4]),c_0_5]),c_0_6]) ).
thf(c_0_10,negated_conjecture,
( ( ~ ( epred150_2 @ esk52_0 @ epred159_0 )
| ~ ( epred151_2 @ esk52_0 @ epred159_0 )
| ~ epred149_0 )
& ( ~ ( c_not @ $false )
| ~ epred149_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_7])])])])]) ).
thf(c_0_11,plain,
! [X479: $o] :
( ( ~ ( c_not @ X479 )
| ~ X479
| c_False )
& ( X479
| ( c_not @ X479 ) )
& ( ~ c_False
| ( c_not @ X479 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
thf(c_0_12,plain,
! [X9: $i,X201: $i > $i] :
( ( epred143_2 @ X201 @ X9 )
<=> ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $true ) )
& ( ( c_exactly2 @ ( c_ordsucc @ ( X201 @ X13 ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_13,plain,
! [X1: $i > $o,X201: $i > $i,X9: $i] :
( ( epred146_3 @ X9 @ X201 @ X1 )
<=> ( ~ ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) ) ),
introduced(definition) ).
thf(c_0_14,plain,
! [X1: $i > $o,X201: $i > $i,X9: $i] :
( ( epred147_3 @ X9 @ X201 @ X1 )
<=> ( ? [X13: $i] :
( ( ~ ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X13 @ X9 )
| ( ( ~ ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X9
= ( X201 @ X9 ) )
=> ? [X66: $i] :
( ( ~ ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( c_Subq @ X66 @ X9 )
| ( ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( c_setprod @ X13 @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ ( c_Power @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
| ( ( ( ( ~ ( c_SNo @ X9 )
| ~ ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( c_SNo @ X9 )
| ( c_not @ $true ) )
& ( ( c_SNo @ X9 )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ),
introduced(definition) ).
thf(c_0_15,axiom,
( ( ~ ? [X7: $i] : ( c_In @ X7 @ c_Empty )
| ( c_not @ $true ) )
& ( ? [X7: $i] : ( c_In @ X7 @ c_Empty )
| ( c_not @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax5]) ).
thf(c_0_16,plain,
! [X1932: $i > $o,X1933: $i > $i] :
( ( ( epred150_2 @ X1933 @ X1932 )
| epred149_0 )
& ( ( epred151_2 @ X1933 @ X1932 )
| epred149_0 )
& ( ~ ( c_not @ $true )
| epred149_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)],[c_0_9])])])])]) ).
thf(c_0_17,negated_conjecture,
( ~ ( c_not @ ~ $true )
| ~ epred149_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_18,plain,
c_not @ ~ $true,
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_11])])]) ).
thf(c_0_19,plain,
! [X1: $i > $o,X201: $i > $i] :
( ( epred151_2 @ X201 @ X1 )
<=> ( ( ( ( X1 @ ( X201 @ ( c_binintersect @ ( X201 @ ( c_Power @ c_Empty ) ) @ ( X201 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
=> ( ( c_TransSet @ ( X201 @ c_Empty ) )
=> ! [X9: $i] :
( ( c_In @ X9 @ c_Empty )
=> ( epred143_2 @ X201 @ X9 ) ) ) )
=> ? [X9: $i] :
( ( epred146_3 @ X9 @ X201 @ X1 )
& ( epred147_3 @ X9 @ X201 @ X1 ) ) )
| ( ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6,c_0_12]),c_0_13]),c_0_14]) ).
thf(c_0_20,plain,
! [X446: $i] :
( ( ~ ( c_In @ X446 @ c_Empty )
| ( c_not @ $true ) )
& ( ( c_In @ esk1_0 @ c_Empty )
| ( c_not @ $false ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
thf(c_0_21,plain,
( epred149_0
| ~ ( c_not @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_22,negated_conjecture,
~ epred149_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
thf(c_0_23,plain,
! [X232: $o,X233: $o] :
( ( c_and @ X232 @ X233 )
<=> ! [X20: $o] :
( ( X232
=> ( X233
=> X20 ) )
=> X20 ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])]) ).
thf(c_0_24,plain,
! [X1: $i > $o,X201: $i > $i] :
( ( epred150_2 @ X201 @ X1 )
<=> ( ~ ( ( ( X1 @ ( X201 @ ( c_binintersect @ ( X201 @ ( c_Power @ c_Empty ) ) @ ( X201 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
=> ( ( c_TransSet @ ( X201 @ c_Empty ) )
=> ! [X9: $i] :
( ( c_In @ X9 @ c_Empty )
=> ( epred143_2 @ X201 @ X9 ) ) ) )
=> ? [X9: $i] :
( ( epred146_3 @ X9 @ X201 @ X1 )
& ( epred147_3 @ X9 @ X201 @ X1 ) ) )
| ( ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true ) )
& ( ( X1 @ ( X201 @ ( X201 @ ( X201 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5,c_0_12]),c_0_13]),c_0_14]) ).
thf(c_0_25,plain,
! [X1942: $i > $o,X1943: $i > $i,X1946: $i > $o,X1947: $i > $i,X1948: $i,X1949: $i] :
( ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( X1942 @ ( X1943 @ ( c_binintersect @ ( X1943 @ ( c_Power @ c_Empty ) ) @ ( X1943 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( X1942 @ ( X1943 @ ( c_binintersect @ ( X1943 @ ( c_Power @ c_Empty ) ) @ ( X1943 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( X1942 @ ( X1943 @ ( c_binintersect @ ( X1943 @ ( c_Power @ c_Empty ) ) @ ( X1943 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( X1942 @ ( X1943 @ ( c_binintersect @ ( X1943 @ ( c_Power @ c_Empty ) ) @ ( X1943 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( X1942 @ ( X1943 @ ( c_binintersect @ ( X1943 @ ( c_Power @ c_Empty ) ) @ ( X1943 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( X1942 @ ( X1943 @ ( c_binintersect @ ( X1943 @ ( c_Power @ c_Empty ) ) @ ( X1943 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( X1942 @ ( X1943 @ ( c_binintersect @ ( X1943 @ ( c_Power @ c_Empty ) ) @ ( X1943 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( X1942 @ ( X1943 @ ( c_binintersect @ ( X1943 @ ( c_Power @ c_Empty ) ) @ ( X1943 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_TransSet @ ( X1943 @ c_Empty ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_TransSet @ ( X1943 @ c_Empty ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_TransSet @ ( X1943 @ c_Empty ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_TransSet @ ( X1943 @ c_Empty ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_TransSet @ ( X1943 @ c_Empty ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_TransSet @ ( X1943 @ c_Empty ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_TransSet @ ( X1943 @ c_Empty ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_TransSet @ ( X1943 @ c_Empty ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_In @ ( esk221_2 @ X1942 @ X1943 ) @ c_Empty )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_In @ ( esk221_2 @ X1942 @ X1943 ) @ c_Empty )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_In @ ( esk221_2 @ X1942 @ X1943 ) @ c_Empty )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_In @ ( esk221_2 @ X1942 @ X1943 ) @ c_Empty )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_In @ ( esk221_2 @ X1942 @ X1943 ) @ c_Empty )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_In @ ( esk221_2 @ X1942 @ X1943 ) @ c_Empty )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_In @ ( esk221_2 @ X1942 @ X1943 ) @ c_Empty )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ( c_In @ ( esk221_2 @ X1942 @ X1943 ) @ c_Empty )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ~ ( epred143_2 @ X1943 @ ( esk221_2 @ X1942 @ X1943 ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ~ ( epred143_2 @ X1943 @ ( esk221_2 @ X1942 @ X1943 ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ~ ( epred143_2 @ X1943 @ ( esk221_2 @ X1942 @ X1943 ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ( epred146_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ~ ( epred143_2 @ X1943 @ ( esk221_2 @ X1942 @ X1943 ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ~ ( epred143_2 @ X1943 @ ( esk221_2 @ X1942 @ X1943 ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ~ ( epred143_2 @ X1943 @ ( esk221_2 @ X1942 @ X1943 ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ~ ( epred143_2 @ X1943 @ ( esk221_2 @ X1942 @ X1943 ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1943 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ( epred147_3 @ ( esk222_2 @ X1942 @ X1943 ) @ X1943 @ X1942 )
| ~ ( epred143_2 @ X1943 @ ( esk221_2 @ X1942 @ X1943 ) )
| ~ ( epred151_2 @ X1943 @ X1942 ) )
& ( ~ ( X1946 @ ( X1947 @ ( c_binintersect @ ( X1947 @ ( c_Power @ c_Empty ) ) @ ( X1947 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( c_TransSet @ ( X1947 @ c_Empty ) )
| ~ ( c_In @ X1948 @ c_Empty )
| ( epred143_2 @ X1947 @ X1948 )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( epred146_3 @ X1949 @ X1947 @ X1946 )
| ~ ( epred147_3 @ X1949 @ X1947 @ X1946 )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_and @ $false @ $false )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_and @ $false @ $false )
| ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_and @ $false @ $false )
| ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_and @ $false @ $false )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_and @ $false @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_and @ $false @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( X1946 @ ( X1947 @ ( X1947 @ ( X1947 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ~ ( c_and @ $false @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( c_and @ $false @ $true )
| ( epred151_2 @ X1947 @ X1946 ) )
& ( ~ ( c_and @ $false @ $false )
| ~ ( c_and @ $false @ $true )
| ( epred151_2 @ X1947 @ X1946 ) ) ),
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_19])])])])])])]) ).
thf(c_0_26,plain,
! [X12: $i > $i,X1: $i > $o] :
( ( epred151_2 @ X12 @ X1 )
| epred149_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_27,plain,
! [X2: $i] :
( ( c_not @ $true )
| ~ ( c_In @ X2 @ c_Empty ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_28,plain,
~ ( c_not @ $true ),
inference(sr,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_29,plain,
! [X480: $o,X481: $o,X482: $o,X483: $o,X484: $o] :
( ( X480
| X482
| ~ ( c_and @ X480 @ X481 ) )
& ( X481
| X482
| ~ ( c_and @ X480 @ X481 ) )
& ( ~ X482
| X482
| ~ ( c_and @ X480 @ X481 ) )
& ( ~ X483
| ~ X484
| ( epred153_2 @ X483 @ X484 )
| ( c_and @ X483 @ X484 ) )
& ( ~ ( epred153_2 @ X483 @ X484 )
| ( c_and @ X483 @ X484 ) ) ),
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_23])])])])])])]) ).
thf(c_0_30,plain,
! [X1934: $i > $o,X1935: $i > $i,X1936: $i,X1937: $i,X1938: $i > $o,X1939: $i > $i] :
( ( ~ ( X1934 @ ( X1935 @ ( X1935 @ ( X1935 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $true @ $true )
| ~ ( X1934 @ ( X1935 @ ( c_binintersect @ ( X1935 @ ( c_Power @ c_Empty ) ) @ ( X1935 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( c_TransSet @ ( X1935 @ c_Empty ) )
| ~ ( c_In @ X1936 @ c_Empty )
| ( epred143_2 @ X1935 @ X1936 )
| ~ ( epred150_2 @ X1935 @ X1934 ) )
& ( ( X1934 @ ( X1935 @ ( X1935 @ ( X1935 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $true @ $true )
| ~ ( X1934 @ ( X1935 @ ( c_binintersect @ ( X1935 @ ( c_Power @ c_Empty ) ) @ ( X1935 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( c_TransSet @ ( X1935 @ c_Empty ) )
| ~ ( c_In @ X1936 @ c_Empty )
| ( epred143_2 @ X1935 @ X1936 )
| ~ ( epred150_2 @ X1935 @ X1934 ) )
& ( ~ ( X1934 @ ( X1935 @ ( X1935 @ ( X1935 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $true @ $false )
| ~ ( X1934 @ ( X1935 @ ( c_binintersect @ ( X1935 @ ( c_Power @ c_Empty ) ) @ ( X1935 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( c_TransSet @ ( X1935 @ c_Empty ) )
| ~ ( c_In @ X1936 @ c_Empty )
| ( epred143_2 @ X1935 @ X1936 )
| ~ ( epred150_2 @ X1935 @ X1934 ) )
& ( ( X1934 @ ( X1935 @ ( X1935 @ ( X1935 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $true @ $false )
| ~ ( X1934 @ ( X1935 @ ( c_binintersect @ ( X1935 @ ( c_Power @ c_Empty ) ) @ ( X1935 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ~ ( c_TransSet @ ( X1935 @ c_Empty ) )
| ~ ( c_In @ X1936 @ c_Empty )
| ( epred143_2 @ X1935 @ X1936 )
| ~ ( epred150_2 @ X1935 @ X1934 ) )
& ( ~ ( X1934 @ ( X1935 @ ( X1935 @ ( X1935 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $true @ $true )
| ~ ( epred146_3 @ X1937 @ X1935 @ X1934 )
| ~ ( epred147_3 @ X1937 @ X1935 @ X1934 )
| ~ ( epred150_2 @ X1935 @ X1934 ) )
& ( ( X1934 @ ( X1935 @ ( X1935 @ ( X1935 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $true @ $true )
| ~ ( epred146_3 @ X1937 @ X1935 @ X1934 )
| ~ ( epred147_3 @ X1937 @ X1935 @ X1934 )
| ~ ( epred150_2 @ X1935 @ X1934 ) )
& ( ~ ( X1934 @ ( X1935 @ ( X1935 @ ( X1935 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( c_and @ $true @ $false )
| ~ ( epred146_3 @ X1937 @ X1935 @ X1934 )
| ~ ( epred147_3 @ X1937 @ X1935 @ X1934 )
| ~ ( epred150_2 @ X1935 @ X1934 ) )
& ( ( X1934 @ ( X1935 @ ( X1935 @ ( X1935 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_and @ $true @ $false )
| ~ ( epred146_3 @ X1937 @ X1935 @ X1934 )
| ~ ( epred147_3 @ X1937 @ X1935 @ X1934 )
| ~ ( epred150_2 @ X1935 @ X1934 ) )
& ( ( epred146_3 @ ( esk220_2 @ X1938 @ X1939 ) @ X1939 @ X1938 )
| ( X1938 @ ( X1939 @ ( c_binintersect @ ( X1939 @ ( c_Power @ c_Empty ) ) @ ( X1939 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ( epred147_3 @ ( esk220_2 @ X1938 @ X1939 ) @ X1939 @ X1938 )
| ( X1938 @ ( X1939 @ ( c_binintersect @ ( X1939 @ ( c_Power @ c_Empty ) ) @ ( X1939 @ ( c_binrep @ ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ( epred146_3 @ ( esk220_2 @ X1938 @ X1939 ) @ X1939 @ X1938 )
| ( c_TransSet @ ( X1939 @ c_Empty ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ( epred147_3 @ ( esk220_2 @ X1938 @ X1939 ) @ X1939 @ X1938 )
| ( c_TransSet @ ( X1939 @ c_Empty ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ( epred146_3 @ ( esk220_2 @ X1938 @ X1939 ) @ X1939 @ X1938 )
| ( c_In @ ( esk219_2 @ X1938 @ X1939 ) @ c_Empty )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ( epred147_3 @ ( esk220_2 @ X1938 @ X1939 ) @ X1939 @ X1938 )
| ( c_In @ ( esk219_2 @ X1938 @ X1939 ) @ c_Empty )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ( epred146_3 @ ( esk220_2 @ X1938 @ X1939 ) @ X1939 @ X1938 )
| ~ ( epred143_2 @ X1939 @ ( esk219_2 @ X1938 @ X1939 ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ( epred147_3 @ ( esk220_2 @ X1938 @ X1939 ) @ X1939 @ X1938 )
| ~ ( epred143_2 @ X1939 @ ( esk219_2 @ X1938 @ X1939 ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_and @ $true @ $false )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_and @ $true @ $false )
| ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_and @ $true @ $false )
| ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_and @ $true @ $false )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_and @ $true @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_and @ $true @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( X1938 @ ( X1939 @ ( X1939 @ ( X1939 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( c_not @ $true )
| ~ ( c_and @ $true @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( c_and @ $true @ $true )
| ( epred150_2 @ X1939 @ X1938 ) )
& ( ~ ( c_and @ $true @ $false )
| ~ ( c_and @ $true @ $true )
| ( epred150_2 @ X1939 @ X1938 ) ) ),
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_24])])])])])])]) ).
thf(c_0_31,plain,
! [X12: $i > $i,X1: $i > $o] :
( ( epred150_2 @ X12 @ X1 )
| epred149_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_32,plain,
! [X12: $i > $i,X1: $i > $o] :
( ( c_not @ $true )
| ( c_and @ ~ $true @ ~ $true )
| ( epred146_3 @ ( esk222_2 @ X1 @ X12 ) @ X12 @ X1 )
| ( c_In @ ( esk221_2 @ X1 @ X12 ) @ c_Empty )
| ~ ( X1 @ ( X12 @ ( X12 @ ( X12 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X12 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_33,plain,
! [X12: $i > $i,X1: $i > $o] : ( epred151_2 @ X12 @ X1 ),
inference(sr,[status(thm)],[c_0_26,c_0_22]) ).
thf(c_0_34,plain,
! [X2: $i] :
~ ( c_In @ X2 @ c_Empty ),
inference(sr,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_35,plain,
! [X5: $o] :
~ ( c_and @ X5 @ ~ $true ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_29])])]) ).
thf(c_0_36,plain,
! [X12: $i > $i,X1: $i > $o] :
( ( c_not @ $true )
| ( c_and @ ~ $true @ ~ $true )
| ( epred147_3 @ ( esk222_2 @ X1 @ X12 ) @ X12 @ X1 )
| ( c_In @ ( esk221_2 @ X1 @ X12 ) @ c_Empty )
| ~ ( X1 @ ( X12 @ ( X12 @ ( X12 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( epred151_2 @ X12 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_37,plain,
! [X12: $i > $i,X2: $i,X1: $i > $o] :
( ( c_not @ $true )
| ( c_and @ $true @ ~ $true )
| ~ ( X1 @ ( X12 @ ( X12 @ ( X12 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( epred146_3 @ X2 @ X12 @ X1 )
| ~ ( epred147_3 @ X2 @ X12 @ X1 )
| ~ ( epred150_2 @ X12 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_38,plain,
! [X12: $i > $i,X1: $i > $o] : ( epred150_2 @ X12 @ X1 ),
inference(sr,[status(thm)],[c_0_31,c_0_22]) ).
thf(c_0_39,plain,
! [X12: $i > $i,X1: $i > $o] :
( ( X1 @ ( X12 @ ( X12 @ ( X12 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_and @ ~ $true @ $true )
| ( epred146_3 @ ( esk222_2 @ X1 @ X12 ) @ X12 @ X1 )
| ( c_In @ ( esk221_2 @ X1 @ X12 ) @ c_Empty )
| ~ ( c_not @ ~ $true )
| ~ ( epred151_2 @ X12 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_40,plain,
! [X5: $o] :
~ ( c_and @ ~ $true @ X5 ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_29])])]) ).
thf(c_0_41,plain,
! [X1: $i > $o,X12: $i > $i] :
( ( epred146_3 @ ( esk222_2 @ X1 @ X12 ) @ X12 @ X1 )
| ~ ( X1 @ ( X12 @ ( X12 @ ( X12 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]),c_0_34]),c_0_35]),c_0_28]) ).
thf(c_0_42,plain,
! [X12: $i > $i,X1: $i > $o] :
( ( X1 @ ( X12 @ ( X12 @ ( X12 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ( c_and @ ~ $true @ $true )
| ( epred147_3 @ ( esk222_2 @ X1 @ X12 ) @ X12 @ X1 )
| ( c_In @ ( esk221_2 @ X1 @ X12 ) @ c_Empty )
| ~ ( c_not @ ~ $true )
| ~ ( epred151_2 @ X12 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_43,plain,
! [X1: $i > $o,X12: $i > $i] :
( ( epred147_3 @ ( esk222_2 @ X1 @ X12 ) @ X12 @ X1 )
| ~ ( X1 @ ( X12 @ ( X12 @ ( X12 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_33])]),c_0_34]),c_0_35]),c_0_28]) ).
thf(c_0_44,plain,
! [X12: $i > $i,X2: $i,X1: $i > $o] :
( ~ ( X1 @ ( X12 @ ( X12 @ ( X12 @ ( c_binrep @ ( c_binrep @ ( c_Power @ ( c_binrep @ ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) ) ) )
| ~ ( epred146_3 @ X2 @ X12 @ X1 )
| ~ ( epred147_3 @ X2 @ X12 @ X1 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),c_0_35]),c_0_28]) ).
thf(c_0_45,plain,
! [X12: $i > $i,X1: $i > $o] : ( epred146_3 @ ( esk222_2 @ X1 @ X12 ) @ X12 @ X1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_18]),c_0_33])]),c_0_34]),c_0_40]),c_0_41]) ).
thf(c_0_46,plain,
! [X12: $i > $i,X1: $i > $o] : ( epred147_3 @ ( esk222_2 @ X1 @ X12 ) @ X12 @ X1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_18]),c_0_33])]),c_0_34]),c_0_40]),c_0_43]) ).
thf(c_0_47,plain,
$false,
inference(flex_resolve,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO873^1 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 09:55:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 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/benchmark/theBenchmark.p
% 85.27/17.73 # Version: 3.1.0-ho
% 85.27/17.73 # partial match(1): HSLMSMSSSSLCHSA
% 85.27/17.73 # Preprocessing class: HSLMSLSSSSLCHSA.
% 85.27/17.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.27/17.73 # Starting pre_casc_6 with 1500s (5) cores
% 85.27/17.73 # Starting ehoh_best7 with 300s (1) cores
% 85.27/17.73 # Starting new_bool_8 with 300s (1) cores
% 85.27/17.73 # Starting new_ho_11 with 300s (1) cores
% 85.27/17.73 # new_ho_11 with pid 31255 completed with status 0
% 85.27/17.73 # Result found by new_ho_11
% 85.27/17.73 # partial match(1): HSLMSMSSSSLCHSA
% 85.27/17.73 # Preprocessing class: HSLMSLSSSSLCHSA.
% 85.27/17.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.27/17.73 # Starting pre_casc_6 with 1500s (5) cores
% 85.27/17.73 # Starting ehoh_best7 with 300s (1) cores
% 85.27/17.73 # Starting new_bool_8 with 300s (1) cores
% 85.27/17.73 # Starting new_ho_11 with 300s (1) cores
% 85.27/17.73 # No SInE strategy applied
% 85.27/17.73 # Search class: HGHSM-SMLM33-DHSFFSBC
% 85.27/17.73 # partial match(1): HGHSM-SMLM32-DHSFFSBC
% 85.27/17.73 # Scheduled 6 strats onto 1 cores with 288 seconds (288 total)
% 85.27/17.73 # Starting new_ho_10 with 87s (1) cores
% 85.27/17.73 # new_ho_10 with pid 31261 completed with status 0
% 85.27/17.73 # Result found by new_ho_10
% 85.27/17.73 # partial match(1): HSLMSMSSSSLCHSA
% 85.27/17.73 # Preprocessing class: HSLMSLSSSSLCHSA.
% 85.27/17.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.27/17.73 # Starting pre_casc_6 with 1500s (5) cores
% 85.27/17.73 # Starting ehoh_best7 with 300s (1) cores
% 85.27/17.73 # Starting new_bool_8 with 300s (1) cores
% 85.27/17.73 # Starting new_ho_11 with 300s (1) cores
% 85.27/17.73 # No SInE strategy applied
% 85.27/17.73 # Search class: HGHSM-SMLM33-DHSFFSBC
% 85.27/17.73 # partial match(1): HGHSM-SMLM32-DHSFFSBC
% 85.27/17.73 # Scheduled 6 strats onto 1 cores with 288 seconds (288 total)
% 85.27/17.73 # Starting new_ho_10 with 87s (1) cores
% 85.27/17.73 # Preprocessing time : 0.088 s
% 85.27/17.73 # Presaturation interreduction done
% 85.27/17.73
% 85.27/17.73 # Proof found!
% 85.27/17.73 # SZS status Theorem
% 85.27/17.73 # SZS output start CNFRefutation
% See solution above
% 85.27/17.73 # Parsed axioms : 213
% 85.27/17.73 # Removed by relevancy pruning/SinE : 0
% 85.27/17.73 # Initial clauses : 469172
% 85.27/17.73 # Removed in clause preprocessing : 464072
% 85.27/17.73 # Initial clauses in saturation : 5100
% 85.27/17.73 # Processed clauses : 9692
% 85.27/17.73 # ...of these trivial : 444
% 85.27/17.73 # ...subsumed : 4600
% 85.27/17.73 # ...remaining for further processing : 4647
% 85.27/17.73 # Other redundant clauses eliminated : 163
% 85.27/17.73 # Clauses deleted for lack of memory : 0
% 85.27/17.73 # Backward-subsumed : 207
% 85.27/17.73 # Backward-rewritten : 121
% 85.27/17.73 # Generated clauses : 97344
% 85.27/17.73 # ...of the previous two non-redundant : 95136
% 85.27/17.73 # ...aggressively subsumed : 0
% 85.27/17.73 # Contextual simplify-reflections : 358
% 85.27/17.73 # Paramodulations : 97165
% 85.27/17.73 # Factorizations : 0
% 85.27/17.73 # NegExts : 0
% 85.27/17.73 # Equation resolutions : 163
% 85.27/17.73 # Disequality decompositions : 0
% 85.27/17.73 # Total rewrite steps : 8725
% 85.27/17.73 # ...of those cached : 7762
% 85.27/17.73 # Propositional unsat checks : 0
% 85.27/17.73 # Propositional check models : 0
% 85.27/17.73 # Propositional check unsatisfiable : 0
% 85.27/17.73 # Propositional clauses : 0
% 85.27/17.73 # Propositional clauses after purity: 0
% 85.27/17.73 # Propositional unsat core size : 0
% 85.27/17.73 # Propositional preprocessing time : 0.000
% 85.27/17.73 # Propositional encoding time : 0.000
% 85.27/17.73 # Propositional solver time : 0.000
% 85.27/17.73 # Success case prop preproc time : 0.000
% 85.27/17.73 # Success case prop encoding time : 0.000
% 85.27/17.73 # Success case prop solver time : 0.000
% 85.27/17.73 # Current number of processed clauses : 2994
% 85.27/17.73 # Positive orientable unit clauses : 259
% 85.27/17.73 # Positive unorientable unit clauses: 28
% 85.27/17.73 # Negative unit clauses : 227
% 85.27/17.73 # Non-unit-clauses : 2480
% 85.27/17.73 # Current number of unprocessed clauses: 91649
% 85.27/17.73 # ...number of literals in the above : 393358
% 85.27/17.73 # Current number of archived formulas : 0
% 85.27/17.73 # Current number of archived clauses : 1595
% 85.27/17.73 # Clause-clause subsumption calls (NU) : 2322086
% 85.27/17.73 # Rec. Clause-clause subsumption calls : 829172
% 85.27/17.73 # Non-unit clause-clause subsumptions : 2376
% 85.27/17.73 # Unit Clause-clause subsumption calls : 76113
% 85.27/17.73 # Rewrite failures with RHS unbound : 0
% 85.27/17.73 # BW rewrite match attempts : 223
% 85.27/17.73 # BW rewrite match successes : 54
% 85.27/17.73 # Condensation attempts : 9909
% 85.27/17.73 # Condensation successes : 316
% 85.27/17.73 # Termbank termtop insertions : 22073712
% 85.27/17.73 # Search garbage collected termcells : 2014708
% 85.27/17.73
% 85.27/17.73 # -------------------------------------------------
% 85.27/17.73 # User time : 15.166 s
% 85.27/17.73 # System time : 1.228 s
% 85.27/17.73 # Total time : 16.394 s
% 85.27/17.73 # Maximum resident set size: 1256160 pages
% 85.27/17.73
% 85.27/17.73 # -------------------------------------------------
% 85.27/17.73 # User time : 15.172 s
% 85.27/17.73 # System time : 1.335 s
% 85.27/17.73 # Total time : 16.507 s
% 85.27/17.73 # Maximum resident set size: 2192 pages
% 85.27/17.73 % E---3.1 exiting
% 85.27/17.74 % E exiting
%------------------------------------------------------------------------------