TSTP Solution File: NUM785^4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM785^4 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 : Sat May 4 08:57:55 EDT 2024
% Result : Theorem 30.97s 4.61s
% Output : CNFRefutation 30.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 79
% Syntax : Number of formulae : 173 ( 83 unt; 50 typ; 0 def)
% Number of atoms : 4916 ( 368 equ; 0 cnn)
% Maximal formula atoms : 4007 ( 39 avg)
% Number of connectives : 13266 (3639 ~;3958 |; 339 &;4947 @)
% ( 0 <=>; 383 =>; 0 <=; 0 <~>)
% Maximal formula depth : 342 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 103 ( 103 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 50 usr; 13 con; 0-3 aty)
% Number of variables : 307 ( 167 ^ 140 !; 0 ?; 307 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
is_of: $i > ( $i > $o ) > $o ).
thf(decl_23,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(decl_25,type,
in: $i > $i > $o ).
thf(decl_61,type,
imp: $o > $o > $o ).
thf(decl_62,type,
d_not: $o > $o ).
thf(decl_65,type,
l_ec: $o > $o > $o ).
thf(decl_66,type,
d_and: $o > $o > $o ).
thf(decl_67,type,
l_or: $o > $o > $o ).
thf(decl_71,type,
non: $i > ( $i > $o ) > $i > $o ).
thf(decl_72,type,
l_some: $i > ( $i > $o ) > $o ).
thf(decl_73,type,
or3: $o > $o > $o > $o ).
thf(decl_74,type,
and3: $o > $o > $o > $o ).
thf(decl_75,type,
ec3: $o > $o > $o > $o ).
thf(decl_76,type,
orec3: $o > $o > $o > $o ).
thf(decl_77,type,
e_is: $i > $i > $i > $o ).
thf(decl_102,type,
esti: $i > $i > $i > $o ).
thf(decl_123,type,
nat: $i ).
thf(decl_124,type,
n_is: $i > $i > $o ).
thf(decl_127,type,
n_some: ( $i > $o ) > $o ).
thf(decl_142,type,
n_pl: $i > $i > $i ).
thf(decl_147,type,
diffprop: $i > $i > $i > $o ).
thf(decl_148,type,
d_29_ii: $i > $i > $o ).
thf(decl_149,type,
iii: $i > $i > $o ).
thf(decl_162,type,
n_ts: $i > $i > $i ).
thf(decl_189,type,
frac: $i ).
thf(decl_191,type,
num: $i > $i ).
thf(decl_192,type,
den: $i > $i ).
thf(decl_194,type,
moref: $i > $i > $o ).
thf(decl_195,type,
lessf: $i > $i > $o ).
thf(decl_203,type,
inf: $i > $i > $o ).
thf(decl_204,type,
rat: $i ).
thf(decl_205,type,
rt_is: $i > $i > $o ).
thf(decl_212,type,
class: $i > $i ).
thf(decl_215,type,
rt_more: $i > $i > $o ).
thf(decl_217,type,
rt_less: $i > $i > $o ).
thf(decl_220,type,
rt_lessis: $i > $i > $o ).
thf(decl_432,type,
esk208_2: $i > $i > $i ).
thf(decl_433,type,
esk209_2: $i > $i > $i ).
thf(decl_434,type,
esk210_2: $i > $i > $i ).
thf(decl_435,type,
esk211_2: $i > $i > $i ).
thf(decl_436,type,
esk212_2: $i > $i > $i ).
thf(decl_437,type,
esk213_2: $i > $i > $i ).
thf(decl_450,type,
esk226_0: $i ).
thf(decl_451,type,
esk227_0: $i ).
thf(decl_452,type,
esk228_0: $i ).
thf(decl_453,type,
esk229_0: $i ).
thf(decl_454,type,
esk230_0: $i ).
thf(decl_455,type,
esk231_0: $i ).
thf(decl_456,type,
esk232_0: $i ).
thf(decl_457,type,
esk233_0: $i ).
thf(def_d_not,axiom,
( d_not
= ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_d_not) ).
thf(def_imp,axiom,
( imp
= ( ^ [X74: $o,X75: $o] :
( X74
=> X75 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_imp) ).
thf(def_all_of,axiom,
( all_of
= ( ^ [X3: $i > $o,X2: $i > $o] :
! [X4: $i] :
( ( is_of @ X4 @ X3 )
=> ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_all_of) ).
thf(def_is_of,axiom,
( is_of
= ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_is_of) ).
thf(def_non,axiom,
( non
= ( ^ [X1: $i,X2: $i > $o,X4: $i] : ( d_not @ ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_non) ).
thf(def_l_some,axiom,
( l_some
= ( ^ [X1: $i,X2: $i > $o] :
( d_not
@ ( all_of
@ ^ [X4: $i] : ( in @ X4 @ X1 )
@ ( non @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_l_some) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_e_is) ).
thf(def_l_ec,axiom,
( l_ec
= ( ^ [X79: $o,X80: $o] : ( imp @ X79 @ ( d_not @ X80 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_l_ec) ).
thf(def_diffprop,axiom,
( diffprop
= ( ^ [X1: $i,X207: $i,X4: $i] : ( n_is @ X1 @ ( n_pl @ X207 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_diffprop) ).
thf(def_n_is,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_n_is) ).
thf(def_d_and,axiom,
( d_and
= ( ^ [X81: $o,X82: $o] : ( d_not @ ( l_ec @ X81 @ X82 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_d_and) ).
thf(def_iii,axiom,
( iii
= ( ^ [X1: $i,X211: $i] : ( n_some @ ( diffprop @ X211 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_iii) ).
thf(def_n_some,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X844: $i] :
( ( in @ X844 @ nat )
=> ( ( Z0 @ X844 )
=> ~ $true ) )
=> ~ $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_n_some) ).
thf(def_l_or,axiom,
( l_or
= ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_l_or) ).
thf(def_and3,axiom,
( and3
= ( ^ [X92: $o,X93: $o,X94: $o] : ( d_and @ X92 @ ( d_and @ X93 @ X94 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_and3) ).
thf(def_d_29_ii,axiom,
( d_29_ii
= ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_d_29_ii) ).
thf(def_lessf,axiom,
( lessf
= ( ^ [X1: $i,X450: $i] : ( iii @ ( n_ts @ ( num @ X1 ) @ ( den @ X450 ) ) @ ( n_ts @ ( num @ X450 ) @ ( den @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_lessf) ).
thf(def_esti,axiom,
( esti
= ( ^ [X1: $i] : in ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_esti) ).
thf(def_or3,axiom,
( or3
= ( ^ [X89: $o,X90: $o,X91: $o] : ( l_or @ X89 @ ( l_or @ X90 @ X91 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_or3) ).
thf(def_ec3,axiom,
( ec3
= ( ^ [X95: $o,X96: $o,X97: $o] : ( and3 @ ( l_ec @ X95 @ X96 ) @ ( l_ec @ X96 @ X97 ) @ ( l_ec @ X97 @ X95 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_ec3) ).
thf(def_moref,axiom,
( moref
= ( ^ [X1: $i,X449: $i] : ( d_29_ii @ ( n_ts @ ( num @ X1 ) @ ( den @ X449 ) ) @ ( n_ts @ ( num @ X449 ) @ ( den @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_moref) ).
thf(def_rt_less,axiom,
( rt_less
= ( ^ [X1: $i,X652: $i] :
( l_some @ frac
@ ^ [X4: $i] :
( l_some @ frac
@ ^ [X13: $i] : ( and3 @ ( inf @ X4 @ ( class @ X1 ) ) @ ( inf @ X13 @ ( class @ X652 ) ) @ ( lessf @ X4 @ X13 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_rt_less) ).
thf(def_inf,axiom,
inf = in,
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_inf) ).
thf(def_orec3,axiom,
( orec3
= ( ^ [X98: $o,X99: $o,X100: $o] : ( d_and @ ( or3 @ X98 @ X99 @ X100 ) @ ( ec3 @ X98 @ X99 @ X100 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_orec3) ).
thf(def_rt_more,axiom,
( rt_more
= ( ^ [X1: $i,X650: $i] :
( l_some @ frac
@ ^ [X4: $i] :
( l_some @ frac
@ ^ [X13: $i] : ( and3 @ ( inf @ X4 @ ( class @ X1 ) ) @ ( inf @ X13 @ ( class @ X650 ) ) @ ( moref @ X4 @ X13 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_rt_more) ).
thf(def_rt_lessis,axiom,
( rt_lessis
= ( ^ [X1: $i,X665: $i] : ( l_or @ ( rt_less @ X1 @ X665 ) @ ( rt_is @ X1 @ X665 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_rt_lessis) ).
thf(def_rt_is,axiom,
( rt_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',def_rt_is) ).
thf(satz81,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ rat )
@ ^ [X1: $i] :
( all_of
@ ^ [X654: $i] : ( in @ X654 @ rat )
@ ^ [X655: $i] : ( orec3 @ ( rt_is @ X1 @ X655 ) @ ( rt_more @ X1 @ X655 ) @ ( rt_less @ X1 @ X655 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',satz81) ).
thf(satz81d,conjecture,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ rat )
@ ^ [X1: $i] :
( all_of
@ ^ [X668: $i] : ( in @ X668 @ rat )
@ ^ [X669: $i] :
( ( rt_lessis @ X1 @ X669 )
=> ( d_not @ ( rt_more @ X1 @ X669 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p',satz81d) ).
thf(c_0_29,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_not]) ).
thf(c_0_30,plain,
( imp
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_imp]) ).
thf(c_0_31,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_all_of]) ).
thf(c_0_32,plain,
( is_of
= ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[def_is_of]) ).
thf(c_0_33,plain,
( non
= ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
( ( Z1 @ Z2 )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_non]) ).
thf(c_0_34,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_35,plain,
( l_some
= ( ^ [Z0: $i,Z1: $i > $o] :
( ! [X817: $i] :
( ( in @ X817 @ Z0 )
=> ( ( Z1 @ X817 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_l_some]) ).
thf(c_0_36,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_37,plain,
( non
= ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
( ( Z1 @ Z2 )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_38,plain,
( e_is
= ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( Z1 = Z2 ) ) ),
inference(fof_simplification,[status(thm)],[def_e_is]) ).
thf(c_0_39,plain,
( l_ec
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> ( Z1
=> ~ $true ) ) ) ),
inference(fof_simplification,[status(thm)],[def_l_ec]) ).
thf(c_0_40,plain,
( l_some
= ( ^ [Z0: $i,Z1: $i > $o] :
( ! [X817: $i] :
( ( in @ X817 @ Z0 )
=> ( ( Z1 @ X817 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35,c_0_36]),c_0_34]),c_0_37]) ).
thf(c_0_41,plain,
( diffprop
= ( ^ [Z0: $i,Z1: $i,Z2: $i] :
( Z0
= ( n_pl @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_diffprop]) ).
thf(c_0_42,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
inference(apply_def,[status(thm)],[def_n_is,c_0_38]) ).
thf(c_0_43,plain,
( d_and
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ( Z1
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_and]) ).
thf(c_0_44,plain,
( l_ec
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> ( Z1
=> ~ $true ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_39,c_0_30]),c_0_34]) ).
thf(c_0_45,plain,
( iii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X856: $i] :
( ( in @ X856 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X856 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_iii]) ).
thf(c_0_46,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X844: $i] :
( ( in @ X844 @ nat )
=> ( ( Z0 @ X844 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[def_n_some,c_0_40]) ).
thf(c_0_47,plain,
( diffprop
= ( ^ [Z0: $i,Z1: $i,Z2: $i] :
( Z0
= ( n_pl @ Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_41,c_0_42]) ).
thf(c_0_48,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_l_or]) ).
thf(c_0_49,plain,
( and3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_and3]) ).
thf(c_0_50,plain,
( d_and
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ( Z1
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_43,c_0_34]),c_0_44]) ).
thf(c_0_51,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X855: $i] :
( ( in @ X855 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X855 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).
thf(c_0_52,plain,
( lessf
= ( ^ [Z0: $i,Z1: $i] :
( ! [X871: $i] :
( ( in @ X871 @ nat )
=> ( ( ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) )
= ( n_pl @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ X871 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_lessf]) ).
thf(c_0_53,plain,
( iii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X856: $i] :
( ( in @ X856 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X856 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
thf(c_0_54,plain,
( esti
= ( ^ [Z0: $i] : in ) ),
inference(fof_simplification,[status(thm)],[def_esti]) ).
thf(c_0_55,plain,
( or3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_or3]) ).
thf(c_0_56,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_48,c_0_30]),c_0_34]) ).
thf(c_0_57,plain,
( ec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_ec3]) ).
thf(c_0_58,plain,
( and3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_49,c_0_50]) ).
thf(c_0_59,plain,
( moref
= ( ^ [Z0: $i,Z1: $i] :
( ! [X870: $i] :
( ( in @ X870 @ nat )
=> ( ( ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) )
= ( n_pl @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) @ X870 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_moref]) ).
thf(c_0_60,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X855: $i] :
( ( in @ X855 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X855 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_51,c_0_46]),c_0_47]) ).
thf(c_0_61,plain,
( rt_less
= ( ^ [Z0: $i,Z1: $i] :
( ! [X889: $i] :
( ( in @ X889 @ frac )
=> ( ( ! [X888: $i] :
( ( in @ X888 @ frac )
=> ( ( ( ( in @ X889 @ ( class @ Z0 ) )
=> ( ( ( ( in @ X888 @ ( class @ Z1 ) )
=> ( ( ! [X887: $i] :
( ( in @ X887 @ nat )
=> ( ( ( n_ts @ ( num @ X888 ) @ ( den @ X889 ) )
= ( n_pl @ ( n_ts @ ( num @ X889 ) @ ( den @ X888 ) ) @ X887 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_rt_less]) ).
thf(c_0_62,plain,
( lessf
= ( ^ [Z0: $i,Z1: $i] :
( ! [X871: $i] :
( ( in @ X871 @ nat )
=> ( ( ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) )
= ( n_pl @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ X871 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_63,axiom,
inf = in,
inference(apply_def,[status(thm)],[def_inf,c_0_54]) ).
thf(c_0_64,plain,
( orec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) )
=> ( ( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_orec3]) ).
thf(c_0_65,plain,
( or3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_55,c_0_56]) ).
thf(c_0_66,plain,
( ec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_57,c_0_44]),c_0_58]) ).
thf(c_0_67,plain,
( rt_more
= ( ^ [Z0: $i,Z1: $i] :
( ! [X885: $i] :
( ( in @ X885 @ frac )
=> ( ( ! [X884: $i] :
( ( in @ X884 @ frac )
=> ( ( ( ( in @ X885 @ ( class @ Z0 ) )
=> ( ( ( ( in @ X884 @ ( class @ Z1 ) )
=> ( ( ! [X883: $i] :
( ( in @ X883 @ nat )
=> ( ( ( n_ts @ ( num @ X885 ) @ ( den @ X884 ) )
= ( n_pl @ ( n_ts @ ( num @ X884 ) @ ( den @ X885 ) ) @ X883 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_rt_more]) ).
thf(c_0_68,plain,
( moref
= ( ^ [Z0: $i,Z1: $i] :
( ! [X870: $i] :
( ( in @ X870 @ nat )
=> ( ( ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) )
= ( n_pl @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) @ X870 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_59,c_0_60]) ).
thf(c_0_69,plain,
( rt_lessis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( ! [X894: $i] :
( ( in @ X894 @ frac )
=> ( ( ! [X895: $i] :
( ( in @ X895 @ frac )
=> ( ( ( ( in @ X894 @ ( class @ Z0 ) )
=> ( ( ( ( in @ X895 @ ( class @ Z1 ) )
=> ( ( ! [X896: $i] :
( ( in @ X896 @ nat )
=> ( ( ( n_ts @ ( num @ X895 ) @ ( den @ X894 ) )
= ( n_pl @ ( n_ts @ ( num @ X894 ) @ ( den @ X895 ) ) @ X896 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_rt_lessis]) ).
thf(c_0_70,axiom,
( rt_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
inference(apply_def,[status(thm)],[def_rt_is,c_0_38]) ).
thf(c_0_71,plain,
( rt_less
= ( ^ [Z0: $i,Z1: $i] :
( ! [X889: $i] :
( ( in @ X889 @ frac )
=> ( ( ! [X888: $i] :
( ( in @ X888 @ frac )
=> ( ( ( ( in @ X889 @ ( class @ Z0 ) )
=> ( ( ( ( in @ X888 @ ( class @ Z1 ) )
=> ( ( ! [X887: $i] :
( ( in @ X887 @ nat )
=> ( ( ( n_ts @ ( num @ X888 ) @ ( den @ X889 ) )
= ( n_pl @ ( n_ts @ ( num @ X889 ) @ ( den @ X888 ) ) @ X887 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_61,c_0_40]),c_0_58]),c_0_62]),c_0_63]) ).
thf(c_0_72,plain,
( orec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) )
=> ( ( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_64,c_0_50]),c_0_65]),c_0_66]) ).
thf(c_0_73,plain,
( rt_more
= ( ^ [Z0: $i,Z1: $i] :
( ! [X885: $i] :
( ( in @ X885 @ frac )
=> ( ( ! [X884: $i] :
( ( in @ X884 @ frac )
=> ( ( ( ( in @ X885 @ ( class @ Z0 ) )
=> ( ( ( ( in @ X884 @ ( class @ Z1 ) )
=> ( ( ! [X883: $i] :
( ( in @ X883 @ nat )
=> ( ( ( n_ts @ ( num @ X885 ) @ ( den @ X884 ) )
= ( n_pl @ ( n_ts @ ( num @ X884 ) @ ( den @ X885 ) ) @ X883 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_67,c_0_40]),c_0_58]),c_0_68]),c_0_63]) ).
thf(c_0_74,plain,
( rt_lessis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( ! [X894: $i] :
( ( in @ X894 @ frac )
=> ( ( ! [X895: $i] :
( ( in @ X895 @ frac )
=> ( ( ( ( in @ X894 @ ( class @ Z0 ) )
=> ( ( ( ( in @ X895 @ ( class @ Z1 ) )
=> ( ( ! [X896: $i] :
( ( in @ X896 @ nat )
=> ( ( ( n_ts @ ( num @ X895 ) @ ( den @ X894 ) )
= ( n_pl @ ( n_ts @ ( num @ X894 ) @ ( den @ X895 ) ) @ X896 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_69,c_0_56]),c_0_70]),c_0_71]) ).
thf(c_0_75,plain,
! [X1992: $i] :
( ( in @ X1992 @ rat )
=> ! [X1991: $i] :
( ( in @ X1991 @ rat )
=> ( ( ( ( ( X1992 = X1991 )
=> ~ $true )
=> ( ( ( ! [X1985: $i] :
( ( in @ X1985 @ frac )
=> ( ( ! [X1986: $i] :
( ( in @ X1986 @ frac )
=> ( ( ( ( in @ X1985 @ ( class @ X1992 ) )
=> ( ( ( ( in @ X1986 @ ( class @ X1991 ) )
=> ( ( ! [X1987: $i] :
( ( in @ X1987 @ nat )
=> ( ( ( n_ts @ ( num @ X1985 ) @ ( den @ X1986 ) )
= ( n_pl @ ( n_ts @ ( num @ X1986 ) @ ( den @ X1985 ) ) @ X1987 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( ! [X1988: $i] :
( ( in @ X1988 @ frac )
=> ( ( ! [X1989: $i] :
( ( in @ X1989 @ frac )
=> ( ( ( ( in @ X1988 @ ( class @ X1992 ) )
=> ( ( ( ( in @ X1989 @ ( class @ X1991 ) )
=> ( ( ! [X1990: $i] :
( ( in @ X1990 @ nat )
=> ( ( ( n_ts @ ( num @ X1989 ) @ ( den @ X1988 ) )
= ( n_pl @ ( n_ts @ ( num @ X1988 ) @ ( den @ X1989 ) ) @ X1990 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) )
=> ( ( ( ( ( X1992 = X1991 )
=> ( ( ! [X1985: $i] :
( ( in @ X1985 @ frac )
=> ( ( ! [X1986: $i] :
( ( in @ X1986 @ frac )
=> ( ( ( ( in @ X1985 @ ( class @ X1992 ) )
=> ( ( ( ( in @ X1986 @ ( class @ X1991 ) )
=> ( ( ! [X1987: $i] :
( ( in @ X1987 @ nat )
=> ( ( ( n_ts @ ( num @ X1985 ) @ ( den @ X1986 ) )
= ( n_pl @ ( n_ts @ ( num @ X1986 ) @ ( den @ X1985 ) ) @ X1987 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ( ( ( ( ( ! [X1985: $i] :
( ( in @ X1985 @ frac )
=> ( ( ! [X1986: $i] :
( ( in @ X1986 @ frac )
=> ( ( ( ( in @ X1985 @ ( class @ X1992 ) )
=> ( ( ( ( in @ X1986 @ ( class @ X1991 ) )
=> ( ( ! [X1987: $i] :
( ( in @ X1987 @ nat )
=> ( ( ( n_ts @ ( num @ X1985 ) @ ( den @ X1986 ) )
= ( n_pl @ ( n_ts @ ( num @ X1986 ) @ ( den @ X1985 ) ) @ X1987 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ( ( ! [X1988: $i] :
( ( in @ X1988 @ frac )
=> ( ( ! [X1989: $i] :
( ( in @ X1989 @ frac )
=> ( ( ( ( in @ X1988 @ ( class @ X1992 ) )
=> ( ( ( ( in @ X1989 @ ( class @ X1991 ) )
=> ( ( ! [X1990: $i] :
( ( in @ X1990 @ nat )
=> ( ( ( n_ts @ ( num @ X1989 ) @ ( den @ X1988 ) )
= ( n_pl @ ( n_ts @ ( num @ X1988 ) @ ( den @ X1989 ) ) @ X1990 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ( ( ( ! [X1988: $i] :
( ( in @ X1988 @ frac )
=> ( ( ! [X1989: $i] :
( ( in @ X1989 @ frac )
=> ( ( ( ( in @ X1988 @ ( class @ X1992 ) )
=> ( ( ( ( in @ X1989 @ ( class @ X1991 ) )
=> ( ( ! [X1990: $i] :
( ( in @ X1990 @ nat )
=> ( ( ( n_ts @ ( num @ X1989 ) @ ( den @ X1988 ) )
= ( n_pl @ ( n_ts @ ( num @ X1988 ) @ ( den @ X1989 ) ) @ X1990 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ( ( X1992 = X1991 )
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz81]),c_0_36]),c_0_72]),c_0_70]),c_0_73]),c_0_71]) ).
thf(c_0_76,negated_conjecture,
~ ! [X2040: $i] :
( ( in @ X2040 @ rat )
=> ! [X2039: $i] :
( ( in @ X2039 @ rat )
=> ( ( ( ( ! [X2033: $i] :
( ( in @ X2033 @ frac )
=> ( ( ! [X2034: $i] :
( ( in @ X2034 @ frac )
=> ( ( ( ( in @ X2033 @ ( class @ X2040 ) )
=> ( ( ( ( in @ X2034 @ ( class @ X2039 ) )
=> ( ( ! [X2035: $i] :
( ( in @ X2035 @ nat )
=> ( ( ( n_ts @ ( num @ X2034 ) @ ( den @ X2033 ) )
= ( n_pl @ ( n_ts @ ( num @ X2033 ) @ ( den @ X2034 ) ) @ X2035 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( X2040 = X2039 ) )
=> ( ( ! [X2036: $i] :
( ( in @ X2036 @ frac )
=> ( ( ! [X2037: $i] :
( ( in @ X2037 @ frac )
=> ( ( ( ( in @ X2036 @ ( class @ X2040 ) )
=> ( ( ( ( in @ X2037 @ ( class @ X2039 ) )
=> ( ( ! [X2038: $i] :
( ( in @ X2038 @ nat )
=> ( ( ( n_ts @ ( num @ X2036 ) @ ( den @ X2037 ) )
= ( n_pl @ ( n_ts @ ( num @ X2037 ) @ ( den @ X2036 ) ) @ X2038 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz81d])]),c_0_36]),c_0_34]),c_0_73]),c_0_74]) ).
thf(c_0_77,plain,
! [X3631: $i,X3632: $i,X3639: $i,X3640: $i,X3641: $i,X3642: $i,X3643: $i,X3644: $i,X3645: $i,X3646: $i,X3647: $i,X3648: $i,X3649: $i,X3650: $i] :
( ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ( X3631 = X3632 )
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk208_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk209_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( in @ ( esk210_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( ( n_ts @ ( num @ ( esk208_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk209_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk209_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk208_2 @ X3631 @ X3632 ) ) ) @ ( esk210_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ frac )
| ~ $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk211_2 @ X3631 @ X3632 ) @ ( class @ X3631 ) )
| ~ $true
| ~ $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk212_2 @ X3631 @ X3632 ) @ ( class @ X3632 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( in @ ( esk213_2 @ X3631 @ X3632 ) @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ( ( n_ts @ ( num @ ( esk212_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk211_2 @ X3631 @ X3632 ) ) )
= ( n_pl @ ( n_ts @ ( num @ ( esk211_2 @ X3631 @ X3632 ) ) @ ( den @ ( esk212_2 @ X3631 @ X3632 ) ) ) @ ( esk213_2 @ X3631 @ X3632 ) ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ~ ( in @ X3641 @ nat )
| ( ( n_ts @ ( num @ X3639 ) @ ( den @ X3640 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3640 ) @ ( den @ X3639 ) ) @ X3641 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3640 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3639 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3640 @ frac )
| ~ $true
| ~ ( in @ X3639 @ frac )
| ~ $true
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3640 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3639 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3640 @ frac )
| ~ $true
| ~ ( in @ X3639 @ frac )
| ~ $true
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3639 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3640 @ frac )
| ~ $true
| ~ ( in @ X3639 @ frac )
| ~ $true
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3640 @ frac )
| ~ $true
| ~ ( in @ X3639 @ frac )
| ~ $true
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3639 @ frac )
| ~ $true
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ~ ( in @ X3647 @ nat )
| ( ( n_ts @ ( num @ X3646 ) @ ( den @ X3645 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3645 ) @ ( den @ X3646 ) ) @ X3647 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| ~ ( in @ X3644 @ nat )
| ( ( n_ts @ ( num @ X3642 ) @ ( den @ X3643 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3643 ) @ ( den @ X3642 ) ) @ X3644 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| ~ ( in @ X3644 @ nat )
| ( ( n_ts @ ( num @ X3642 ) @ ( den @ X3643 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3643 ) @ ( den @ X3642 ) ) @ X3644 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| ~ ( in @ X3644 @ nat )
| ( ( n_ts @ ( num @ X3642 ) @ ( den @ X3643 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3643 ) @ ( den @ X3642 ) ) @ X3644 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| ~ ( in @ X3644 @ nat )
| ( ( n_ts @ ( num @ X3642 ) @ ( den @ X3643 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3643 ) @ ( den @ X3642 ) ) @ X3644 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| ~ ( in @ X3644 @ nat )
| ( ( n_ts @ ( num @ X3642 ) @ ( den @ X3643 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3643 ) @ ( den @ X3642 ) ) @ X3644 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3644 @ nat )
| ( ( n_ts @ ( num @ X3642 ) @ ( den @ X3643 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3643 ) @ ( den @ X3642 ) ) @ X3644 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ~ ( in @ X3647 @ nat )
| ( ( n_ts @ ( num @ X3646 ) @ ( den @ X3645 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3645 ) @ ( den @ X3646 ) ) @ X3647 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ~ ( in @ X3647 @ nat )
| ( ( n_ts @ ( num @ X3646 ) @ ( den @ X3645 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3645 ) @ ( den @ X3646 ) ) @ X3647 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ~ ( in @ X3647 @ nat )
| ( ( n_ts @ ( num @ X3646 ) @ ( den @ X3645 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3645 ) @ ( den @ X3646 ) ) @ X3647 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3643 @ frac )
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ~ ( in @ X3647 @ nat )
| ( ( n_ts @ ( num @ X3646 ) @ ( den @ X3645 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3645 ) @ ( den @ X3646 ) ) @ X3647 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X3642 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ~ ( in @ X3647 @ nat )
| ( ( n_ts @ ( num @ X3646 ) @ ( den @ X3645 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3645 ) @ ( den @ X3646 ) ) @ X3647 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3646 @ frac )
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3645 @ frac )
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( ~ ( in @ X3650 @ nat )
| ( ( n_ts @ ( num @ X3649 ) @ ( den @ X3648 ) )
!= ( n_pl @ ( n_ts @ ( num @ X3648 ) @ ( den @ X3649 ) ) @ X3650 ) )
| ~ $true
| ~ $true
| ~ ( in @ X3649 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3648 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3649 @ frac )
| ~ $true
| ~ ( in @ X3648 @ frac )
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3649 @ ( class @ X3632 ) )
| ~ $true
| ~ ( in @ X3648 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3649 @ frac )
| ~ $true
| ~ ( in @ X3648 @ frac )
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3648 @ ( class @ X3631 ) )
| ~ $true
| ~ ( in @ X3649 @ frac )
| ~ $true
| ~ ( in @ X3648 @ frac )
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3649 @ frac )
| ~ $true
| ~ ( in @ X3648 @ frac )
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3648 @ frac )
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ( X3631 != X3632 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) )
& ( $true
| ~ $true
| ~ ( in @ X3632 @ rat )
| ~ ( in @ X3631 @ rat ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])])])]) ).
thf(c_0_78,negated_conjecture,
( ( in @ esk226_0 @ rat )
& ( in @ esk227_0 @ rat )
& ( ( in @ esk228_0 @ frac )
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( ( in @ esk229_0 @ frac )
| ~ $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( ( in @ esk228_0 @ ( class @ esk226_0 ) )
| ~ $true
| ~ $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( ( in @ esk229_0 @ ( class @ esk227_0 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( ( in @ esk230_0 @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( ( ( n_ts @ ( num @ esk229_0 ) @ ( den @ esk228_0 ) )
= ( n_pl @ ( n_ts @ ( num @ esk228_0 ) @ ( den @ esk229_0 ) ) @ esk230_0 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( $true
| ~ $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( $true
| ~ $true
| ( esk226_0 = esk227_0 ) )
& ( $true
| ( esk226_0 = esk227_0 ) )
& ( ( in @ esk231_0 @ frac )
| ~ $true )
& ( ( in @ esk232_0 @ frac )
| ~ $true
| ~ $true )
& ( ( in @ esk231_0 @ ( class @ esk226_0 ) )
| ~ $true
| ~ $true
| ~ $true )
& ( ( in @ esk232_0 @ ( class @ esk227_0 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true )
& ( ( in @ esk233_0 @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true )
& ( ( ( n_ts @ ( num @ esk231_0 ) @ ( den @ esk232_0 ) )
= ( n_pl @ ( n_ts @ ( num @ esk232_0 ) @ ( den @ esk231_0 ) ) @ esk233_0 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true )
& ( $true
| ~ $true
| ~ $true
| ~ $true )
& ( $true
| ~ $true
| ~ $true )
& ( $true
| ~ $true )
& $true ),
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_76])])])])]) ).
thf(c_0_79,plain,
! [X1: $i,X4: $i,X5: $i,X6: $i,X9: $i,X11: $i,X10: $i,X8: $i] :
( ~ ( in @ X1 @ nat )
| ( ( n_ts @ ( num @ X4 ) @ ( den @ X5 ) )
!= ( n_pl @ ( n_ts @ ( num @ X5 ) @ ( den @ X4 ) ) @ X1 ) )
| ~ $true
| ~ $true
| ~ ( in @ X4 @ ( class @ X6 ) )
| ~ $true
| ~ ( in @ X5 @ ( class @ X8 ) )
| ~ $true
| ~ ( in @ X4 @ frac )
| ~ $true
| ~ ( in @ X5 @ frac )
| ~ $true
| ~ ( in @ X9 @ nat )
| ( ( n_ts @ ( num @ X10 ) @ ( den @ X11 ) )
!= ( n_pl @ ( n_ts @ ( num @ X11 ) @ ( den @ X10 ) ) @ X9 ) )
| ~ $true
| ~ $true
| ~ ( in @ X11 @ ( class @ X6 ) )
| ~ $true
| ~ ( in @ X10 @ ( class @ X8 ) )
| ~ $true
| ~ ( in @ X11 @ frac )
| ~ $true
| ~ ( in @ X10 @ frac )
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X6 @ rat )
| ~ ( in @ X8 @ rat ) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_80,negated_conjecture,
( ( in @ esk232_0 @ frac )
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_81,plain,
! [X1: $i,X5: $i,X4: $i,X9: $i,X11: $i,X10: $i,X8: $i,X6: $i] :
( ( ( n_ts @ ( num @ X10 ) @ ( den @ X11 ) )
!= ( n_pl @ ( n_ts @ ( num @ X11 ) @ ( den @ X10 ) ) @ X9 ) )
| ( ( n_ts @ ( num @ X4 ) @ ( den @ X5 ) )
!= ( n_pl @ ( n_ts @ ( num @ X5 ) @ ( den @ X4 ) ) @ X1 ) )
| ~ ( in @ X11 @ frac )
| ~ ( in @ X10 @ frac )
| ~ ( in @ X9 @ nat )
| ~ ( in @ X8 @ rat )
| ~ ( in @ X6 @ rat )
| ~ ( in @ X5 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X11 @ ( class @ X6 ) )
| ~ ( in @ X10 @ ( class @ X8 ) )
| ~ ( in @ X5 @ ( class @ X8 ) )
| ~ ( in @ X4 @ ( class @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_79]) ).
thf(c_0_82,negated_conjecture,
in @ esk232_0 @ frac,
inference(cn,[status(thm)],[c_0_80]) ).
thf(c_0_83,negated_conjecture,
( ( in @ esk231_0 @ frac )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_84,negated_conjecture,
! [X1: $i,X4: $i,X5: $i,X6: $i,X10: $i,X9: $i,X8: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ esk232_0 ) @ ( den @ X1 ) ) @ X4 )
!= ( n_ts @ ( num @ X1 ) @ ( den @ esk232_0 ) ) )
| ( ( n_pl @ ( n_ts @ ( num @ X5 ) @ ( den @ X6 ) ) @ X8 )
!= ( n_ts @ ( num @ X6 ) @ ( den @ X5 ) ) )
| ~ ( in @ esk232_0 @ ( class @ X9 ) )
| ~ ( in @ X1 @ ( class @ X10 ) )
| ~ ( in @ X5 @ ( class @ X10 ) )
| ~ ( in @ X6 @ ( class @ X9 ) )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X10 @ rat )
| ~ ( in @ X9 @ rat )
| ~ ( in @ X5 @ frac )
| ~ ( in @ X6 @ frac )
| ~ ( in @ X8 @ nat ) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
thf(c_0_85,negated_conjecture,
in @ esk231_0 @ frac,
inference(cn,[status(thm)],[c_0_83]) ).
thf(c_0_86,negated_conjecture,
( ( in @ esk233_0 @ nat )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_87,negated_conjecture,
( ( ( n_ts @ ( num @ esk231_0 ) @ ( den @ esk232_0 ) )
= ( n_pl @ ( n_ts @ ( num @ esk232_0 ) @ ( den @ esk231_0 ) ) @ esk233_0 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_88,negated_conjecture,
! [X1: $i,X4: $i,X5: $i,X9: $i,X8: $i,X6: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ esk232_0 ) @ ( den @ esk231_0 ) ) @ X1 )
!= ( n_ts @ ( num @ esk231_0 ) @ ( den @ esk232_0 ) ) )
| ( ( n_pl @ ( n_ts @ ( num @ X4 ) @ ( den @ X5 ) ) @ X6 )
!= ( n_ts @ ( num @ X5 ) @ ( den @ X4 ) ) )
| ~ ( in @ esk232_0 @ ( class @ X8 ) )
| ~ ( in @ esk231_0 @ ( class @ X9 ) )
| ~ ( in @ X4 @ ( class @ X9 ) )
| ~ ( in @ X5 @ ( class @ X8 ) )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X9 @ rat )
| ~ ( in @ X8 @ rat )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X5 @ frac )
| ~ ( in @ X6 @ nat ) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
thf(c_0_89,negated_conjecture,
in @ esk233_0 @ nat,
inference(cn,[status(thm)],[c_0_86]) ).
thf(c_0_90,negated_conjecture,
( ( n_ts @ ( num @ esk231_0 ) @ ( den @ esk232_0 ) )
= ( n_pl @ ( n_ts @ ( num @ esk232_0 ) @ ( den @ esk231_0 ) ) @ esk233_0 ) ),
inference(cn,[status(thm)],[c_0_87]) ).
thf(c_0_91,negated_conjecture,
( ( in @ esk231_0 @ ( class @ esk226_0 ) )
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_92,plain,
! [X1: $i,X4: $i,X5: $i,X6: $i,X8: $i] :
( ~ ( in @ X1 @ nat )
| ( ( n_ts @ ( num @ X4 ) @ ( den @ X5 ) )
!= ( n_pl @ ( n_ts @ ( num @ X5 ) @ ( den @ X4 ) ) @ X1 ) )
| ~ $true
| ~ $true
| ~ ( in @ X4 @ ( class @ X6 ) )
| ~ $true
| ~ ( in @ X5 @ ( class @ X8 ) )
| ~ $true
| ~ ( in @ X4 @ frac )
| ~ $true
| ~ ( in @ X5 @ frac )
| ( X8 != X6 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X6 @ rat )
| ~ ( in @ X8 @ rat ) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_93,negated_conjecture,
! [X1: $i,X4: $i,X8: $i,X6: $i,X5: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ X5 )
!= ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( in @ esk232_0 @ ( class @ X6 ) )
| ~ ( in @ esk231_0 @ ( class @ X8 ) )
| ~ ( in @ X1 @ ( class @ X8 ) )
| ~ ( in @ X4 @ ( class @ X6 ) )
| ~ ( in @ X8 @ rat )
| ~ ( in @ X6 @ rat )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X5 @ nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
thf(c_0_94,negated_conjecture,
in @ esk226_0 @ rat,
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_95,negated_conjecture,
in @ esk231_0 @ ( class @ esk226_0 ),
inference(cn,[status(thm)],[c_0_91]) ).
thf(c_0_96,negated_conjecture,
( ( in @ esk232_0 @ ( class @ esk227_0 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_97,plain,
! [X1: $i,X5: $i,X4: $i,X8: $i,X6: $i] :
( ( X6 != X8 )
| ( ( n_ts @ ( num @ X4 ) @ ( den @ X5 ) )
!= ( n_pl @ ( n_ts @ ( num @ X5 ) @ ( den @ X4 ) ) @ X1 ) )
| ~ ( in @ X8 @ rat )
| ~ ( in @ X6 @ rat )
| ~ ( in @ X5 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X5 @ ( class @ X8 ) )
| ~ ( in @ X4 @ ( class @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_92]) ).
thf(c_0_98,negated_conjecture,
! [X1: $i,X4: $i,X6: $i,X5: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ X5 )
!= ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( in @ esk232_0 @ ( class @ X6 ) )
| ~ ( in @ X1 @ ( class @ esk226_0 ) )
| ~ ( in @ X4 @ ( class @ X6 ) )
| ~ ( in @ X6 @ rat )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X5 @ nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).
thf(c_0_99,negated_conjecture,
in @ esk227_0 @ rat,
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_100,negated_conjecture,
in @ esk232_0 @ ( class @ esk227_0 ),
inference(cn,[status(thm)],[c_0_96]) ).
thf(c_0_101,negated_conjecture,
( ( in @ esk228_0 @ frac )
| ( esk226_0 = esk227_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_102,negated_conjecture,
( ( in @ esk228_0 @ ( class @ esk226_0 ) )
| ( esk226_0 = esk227_0 )
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_103,plain,
! [X1: $i,X4: $i,X6: $i,X5: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ X5 )
!= ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( in @ X1 @ ( class @ X6 ) )
| ~ ( in @ X4 @ ( class @ X6 ) )
| ~ ( in @ X6 @ rat )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X5 @ nat ) ),
inference(er,[status(thm)],[c_0_97]) ).
thf(c_0_104,negated_conjecture,
! [X1: $i,X4: $i,X5: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ X5 )
!= ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( in @ X1 @ ( class @ esk226_0 ) )
| ~ ( in @ X4 @ ( class @ esk227_0 ) )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X5 @ nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).
thf(c_0_105,negated_conjecture,
( ( esk227_0 = esk226_0 )
| ( in @ esk228_0 @ frac ) ),
inference(cn,[status(thm)],[c_0_101]) ).
thf(c_0_106,negated_conjecture,
( ( esk227_0 = esk226_0 )
| ( in @ esk228_0 @ ( class @ esk226_0 ) ) ),
inference(cn,[status(thm)],[c_0_102]) ).
thf(c_0_107,negated_conjecture,
( ( in @ esk229_0 @ frac )
| ( esk226_0 = esk227_0 )
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_108,negated_conjecture,
( ( in @ esk229_0 @ ( class @ esk227_0 ) )
| ( esk226_0 = esk227_0 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_109,negated_conjecture,
! [X1: $i,X4: $i,X5: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ X5 )
!= ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( in @ X1 @ ( class @ esk227_0 ) )
| ~ ( in @ X4 @ ( class @ esk227_0 ) )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X5 @ nat ) ),
inference(spm,[status(thm)],[c_0_103,c_0_99]) ).
thf(c_0_110,negated_conjecture,
! [X1: $i,X4: $i] :
( ( esk227_0 = esk226_0 )
| ( ( n_pl @ ( n_ts @ ( num @ esk228_0 ) @ ( den @ X1 ) ) @ X4 )
!= ( n_ts @ ( num @ X1 ) @ ( den @ esk228_0 ) ) )
| ~ ( in @ X1 @ ( class @ esk227_0 ) )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ nat ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).
thf(c_0_111,negated_conjecture,
( ( esk227_0 = esk226_0 )
| ( in @ esk229_0 @ frac ) ),
inference(cn,[status(thm)],[c_0_107]) ).
thf(c_0_112,negated_conjecture,
( ( esk227_0 = esk226_0 )
| ( in @ esk229_0 @ ( class @ esk227_0 ) ) ),
inference(cn,[status(thm)],[c_0_108]) ).
thf(c_0_113,negated_conjecture,
( ( in @ esk230_0 @ nat )
| ( esk226_0 = esk227_0 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_114,negated_conjecture,
( ( ( n_ts @ ( num @ esk229_0 ) @ ( den @ esk228_0 ) )
= ( n_pl @ ( n_ts @ ( num @ esk228_0 ) @ ( den @ esk229_0 ) ) @ esk230_0 ) )
| ( esk226_0 = esk227_0 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
thf(c_0_115,negated_conjecture,
! [X1: $i,X4: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ esk232_0 ) @ ( den @ X1 ) ) @ X4 )
!= ( n_ts @ ( num @ X1 ) @ ( den @ esk232_0 ) ) )
| ~ ( in @ X1 @ ( class @ esk227_0 ) )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_82]),c_0_100])]) ).
thf(c_0_116,negated_conjecture,
! [X1: $i] :
( ( esk227_0 = esk226_0 )
| ( ( n_pl @ ( n_ts @ ( num @ esk228_0 ) @ ( den @ esk229_0 ) ) @ X1 )
!= ( n_ts @ ( num @ esk229_0 ) @ ( den @ esk228_0 ) ) )
| ~ ( in @ X1 @ nat ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
thf(c_0_117,negated_conjecture,
( ( esk227_0 = esk226_0 )
| ( in @ esk230_0 @ nat ) ),
inference(cn,[status(thm)],[c_0_113]) ).
thf(c_0_118,negated_conjecture,
( ( esk227_0 = esk226_0 )
| ( ( n_ts @ ( num @ esk229_0 ) @ ( den @ esk228_0 ) )
= ( n_pl @ ( n_ts @ ( num @ esk228_0 ) @ ( den @ esk229_0 ) ) @ esk230_0 ) ) ),
inference(cn,[status(thm)],[c_0_114]) ).
thf(c_0_119,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ esk232_0 ) @ ( den @ esk231_0 ) ) @ X1 )
!= ( n_ts @ ( num @ esk231_0 ) @ ( den @ esk232_0 ) ) )
| ~ ( in @ esk231_0 @ ( class @ esk227_0 ) )
| ~ ( in @ X1 @ nat ) ),
inference(spm,[status(thm)],[c_0_115,c_0_85]) ).
thf(c_0_120,negated_conjecture,
esk227_0 = esk226_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).
thf(c_0_121,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ ( n_ts @ ( num @ esk232_0 ) @ ( den @ esk231_0 ) ) @ X1 )
!= ( n_ts @ ( num @ esk231_0 ) @ ( den @ esk232_0 ) ) )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_95])]) ).
thf(c_0_122,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_89]),c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.20 % Problem : NUM785^4 : TPTP v8.1.2. Released v7.1.0.
% 0.12/0.21 % Command : run_E %s %d THM
% 0.21/0.43 % Computer : n015.cluster.edu
% 0.21/0.43 % Model : x86_64 x86_64
% 0.21/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.43 % Memory : 8042.1875MB
% 0.21/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.43 % CPULimit : 300
% 0.21/0.43 % WCLimit : 300
% 0.21/0.43 % DateTime : Fri May 3 09:42:06 EDT 2024
% 0.21/0.43 % CPUTime :
% 0.47/0.64 Running higher-order theorem proving
% 0.47/0.64 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.q2ECR3XoO4/E---3.1_10164.p
% 30.97/4.61 # Version: 3.1.0-ho
% 30.97/4.61 # Preprocessing class: HSLMSMSMLLLCHSA.
% 30.97/4.61 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 30.97/4.61 # Starting pre_casc_4 with 1200s (4) cores
% 30.97/4.61 # Starting full_lambda_6 with 300s (1) cores
% 30.97/4.61 # Starting sh10 with 300s (1) cores
% 30.97/4.61 # Starting post_as_ho9 with 300s (1) cores
% 30.97/4.61 # Starting post_as_ho8 with 300s (1) cores
% 30.97/4.61 # sh10 with pid 10318 completed with status 0
% 30.97/4.61 # Result found by sh10
% 30.97/4.61 # Preprocessing class: HSLMSMSMLLLCHSA.
% 30.97/4.61 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 30.97/4.61 # Starting pre_casc_4 with 1200s (4) cores
% 30.97/4.61 # Starting full_lambda_6 with 300s (1) cores
% 30.97/4.61 # Starting sh10 with 300s (1) cores
% 30.97/4.61 # No SInE strategy applied
% 30.97/4.61 # Search class: HGHSM-FMLM32-MHSMMFBN
% 30.97/4.61 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 30.97/4.61 # Starting sh10 with 178s (1) cores
% 30.97/4.61 # sh10 with pid 10332 completed with status 0
% 30.97/4.61 # Result found by sh10
% 30.97/4.61 # Preprocessing class: HSLMSMSMLLLCHSA.
% 30.97/4.61 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 30.97/4.61 # Starting pre_casc_4 with 1200s (4) cores
% 30.97/4.61 # Starting full_lambda_6 with 300s (1) cores
% 30.97/4.61 # Starting sh10 with 300s (1) cores
% 30.97/4.61 # No SInE strategy applied
% 30.97/4.61 # Search class: HGHSM-FMLM32-MHSMMFBN
% 30.97/4.61 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 30.97/4.61 # Starting sh10 with 178s (1) cores
% 30.97/4.61 # Preprocessing time : 0.027 s
% 30.97/4.61
% 30.97/4.61 # Proof found!
% 30.97/4.61 # SZS status Theorem
% 30.97/4.61 # SZS output start CNFRefutation
% See solution above
% 30.97/4.61 # Parsed axioms : 694
% 30.97/4.61 # Removed by relevancy pruning/SinE : 0
% 30.97/4.61 # Initial clauses : 3508
% 30.97/4.61 # Removed in clause preprocessing : 2526
% 30.97/4.61 # Initial clauses in saturation : 982
% 30.97/4.61 # Processed clauses : 2726
% 30.97/4.61 # ...of these trivial : 25
% 30.97/4.61 # ...subsumed : 432
% 30.97/4.61 # ...remaining for further processing : 2269
% 30.97/4.61 # Other redundant clauses eliminated : 130
% 30.97/4.61 # Clauses deleted for lack of memory : 0
% 30.97/4.61 # Backward-subsumed : 57
% 30.97/4.61 # Backward-rewritten : 350
% 30.97/4.61 # Generated clauses : 136044
% 30.97/4.61 # ...of the previous two non-redundant : 135495
% 30.97/4.61 # ...aggressively subsumed : 0
% 30.97/4.61 # Contextual simplify-reflections : 26
% 30.97/4.61 # Paramodulations : 135648
% 30.97/4.61 # Factorizations : 2
% 30.97/4.61 # NegExts : 6
% 30.97/4.61 # Equation resolutions : 144
% 30.97/4.61 # Disequality decompositions : 0
% 30.97/4.61 # Total rewrite steps : 3924
% 30.97/4.61 # ...of those cached : 3273
% 30.97/4.61 # Propositional unsat checks : 0
% 30.97/4.61 # Propositional check models : 0
% 30.97/4.61 # Propositional check unsatisfiable : 0
% 30.97/4.61 # Propositional clauses : 0
% 30.97/4.61 # Propositional clauses after purity: 0
% 30.97/4.61 # Propositional unsat core size : 0
% 30.97/4.61 # Propositional preprocessing time : 0.000
% 30.97/4.61 # Propositional encoding time : 0.000
% 30.97/4.61 # Propositional solver time : 0.000
% 30.97/4.61 # Success case prop preproc time : 0.000
% 30.97/4.61 # Success case prop encoding time : 0.000
% 30.97/4.61 # Success case prop solver time : 0.000
% 30.97/4.61 # Current number of processed clauses : 1776
% 30.97/4.61 # Positive orientable unit clauses : 271
% 30.97/4.61 # Positive unorientable unit clauses: 10
% 30.97/4.61 # Negative unit clauses : 139
% 30.97/4.61 # Non-unit-clauses : 1356
% 30.97/4.61 # Current number of unprocessed clauses: 133583
% 30.97/4.61 # ...number of literals in the above : 923447
% 30.97/4.61 # Current number of archived formulas : 0
% 30.97/4.61 # Current number of archived clauses : 408
% 30.97/4.61 # Clause-clause subsumption calls (NU) : 824907
% 30.97/4.61 # Rec. Clause-clause subsumption calls : 96322
% 30.97/4.61 # Non-unit clause-clause subsumptions : 336
% 30.97/4.61 # Unit Clause-clause subsumption calls : 130877
% 30.97/4.61 # Rewrite failures with RHS unbound : 0
% 30.97/4.61 # BW rewrite match attempts : 380
% 30.97/4.61 # BW rewrite match successes : 54
% 30.97/4.61 # Condensation attempts : 0
% 30.97/4.61 # Condensation successes : 0
% 30.97/4.61 # Termbank termtop insertions : 4118341
% 30.97/4.61 # Search garbage collected termcells : 142023
% 30.97/4.61
% 30.97/4.61 # -------------------------------------------------
% 30.97/4.61 # User time : 3.686 s
% 30.97/4.61 # System time : 0.126 s
% 30.97/4.61 # Total time : 3.813 s
% 30.97/4.61 # Maximum resident set size: 20324 pages
% 30.97/4.61
% 30.97/4.61 # -------------------------------------------------
% 30.97/4.61 # User time : 3.706 s
% 30.97/4.61 # System time : 0.133 s
% 30.97/4.61 # Total time : 3.839 s
% 30.97/4.61 # Maximum resident set size: 3124 pages
% 30.97/4.61 % E---3.1 exiting
% 30.97/4.61 % E exiting
%------------------------------------------------------------------------------