%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP027^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:23:36 AM UTC 2026
% Result : Theorem 60.77s 10.48s
% Output : CNFRefutation 10.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 50
% Syntax : Number of formulae : 1416 ( 360 unt; 0 typ; 0 def)
% Number of atoms : 12263 (4837 equ; 0 cnn)
% Maximal formula atoms : 14 ( 8 avg)
% Number of connectives : 32805 (2642 ~;3574 |; 84 &;26254 @)
% ( 0 <=>; 251 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 55 ( 54 usr)
% Number of type conns : 7431 (7431 >; 0 *; 0 +; 0 <<)
% Number of symbols : 233 ( 230 usr; 5 con; 0-6 aty)
% Number of variables : 6384 ( 854 ^;5530 !; 0 ?;6384 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_c,type,
c: $tType ).
thf(tp_carrie1105631105xt_a_b,type,
carrie1105631105xt_a_b: $tType ).
thf(tp_carrie1948989069_d_a_e,type,
carrie1948989069_d_a_e: $tType ).
thf(tp_carrie1954260683t_unit,type,
carrie1954260683t_unit: $tType ).
thf(tp_d,type,
d: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_a_a,type,
set_a_a: $tType ).
thf(tp_set_a_a_a,type,
set_a_a_a: $tType ).
thf(tp_set_a_a_a2,type,
set_a_a_a2: $tType ).
thf(tp_set_a_a_a_a,type,
set_a_a_a_a: $tType ).
thf(tp_set_a_a_a_a2,type,
set_a_a_a_a2: $tType ).
thf(tp_set_a_a_a_a3,type,
set_a_a_a_a3: $tType ).
thf(tp_set_a_a_a_a4,type,
set_a_a_a_a4: $tType ).
thf(tp_set_a_a_a_a_a,type,
set_a_a_a_a_a: $tType ).
thf(tp_set_a_a_a_a_a2,type,
set_a_a_a_a_a2: $tType ).
thf(tp_set_a_a_a_a_a3,type,
set_a_a_a_a_a3: $tType ).
thf(tp_set_a_a_a_a_a_d,type,
set_a_a_a_a_a_d: $tType ).
thf(tp_set_a_a_a_a_d,type,
set_a_a_a_a_d: $tType ).
thf(tp_set_a_a_a_c_d,type,
set_a_a_a_c_d: $tType ).
thf(tp_set_a_a_a_d,type,
set_a_a_a_d: $tType ).
thf(tp_set_a_a_c_d,type,
set_a_a_c_d: $tType ).
thf(tp_set_a_a_c_d2,type,
set_a_a_c_d2: $tType ).
thf(tp_set_a_a_c_d_a,type,
set_a_a_c_d_a: $tType ).
thf(tp_set_a_a_c_d_c_d,type,
set_a_a_c_d_c_d: $tType ).
thf(tp_set_a_a_c_d_d,type,
set_a_a_c_d_d: $tType ).
thf(tp_set_a_a_d,type,
set_a_a_d: $tType ).
thf(tp_set_a_c,type,
set_a_c: $tType ).
thf(tp_set_a_c_d,type,
set_a_c_d: $tType ).
thf(tp_set_a_c_d_a,type,
set_a_c_d_a: $tType ).
thf(tp_set_a_c_d_c_d,type,
set_a_c_d_c_d: $tType ).
thf(tp_set_a_d,type,
set_a_d: $tType ).
thf(tp_set_c,type,
set_c: $tType ).
thf(tp_set_c_a,type,
set_c_a: $tType ).
thf(tp_set_c_c,type,
set_c_c: $tType ).
thf(tp_set_c_c_d,type,
set_c_c_d: $tType ).
thf(tp_set_c_d,type,
set_c_d: $tType ).
thf(tp_set_c_d_a,type,
set_c_d_a: $tType ).
thf(tp_set_c_d_a_a,type,
set_c_d_a_a: $tType ).
thf(tp_set_c_d_a_a_a,type,
set_c_d_a_a_a: $tType ).
thf(tp_set_c_d_a_a_a2,type,
set_c_d_a_a_a2: $tType ).
thf(tp_set_c_d_c_d,type,
set_c_d_c_d: $tType ).
thf(tp_set_c_d_c_d_a,type,
set_c_d_c_d_a: $tType ).
thf(tp_set_c_d_c_d_a2,type,
set_c_d_c_d_a2: $tType ).
thf(tp_set_c_d_c_d_c_d,type,
set_c_d_c_d_c_d: $tType ).
thf(tp_set_c_d_c_d_d,type,
set_c_d_c_d_d: $tType ).
thf(tp_set_c_d_d,type,
set_c_d_d: $tType ).
thf(tp_set_d,type,
set_d: $tType ).
thf(tp_set_d_a,type,
set_d_a: $tType ).
thf(tp_set_d_c,type,
set_d_c: $tType ).
thf(tp_set_d_c_d,type,
set_d_c_d: $tType ).
thf(tp_set_d_d,type,
set_d_d: $tType ).
thf(tp_set_nat,type,
set_nat: $tType ).
thf(tp_aGroup1940521469_d_a_e,type,
aGroup1940521469_d_a_e: carrie1948989069_d_a_e > $o ).
thf(tp_aGroup2097840802xt_a_b,type,
aGroup2097840802xt_a_b: carrie1105631105xt_a_b > $o ).
thf(tp_aGroup2131905830t_unit,type,
aGroup2131905830t_unit: carrie1954260683t_unit > $o ).
thf(tp_algebr137561451_a_d_e,type,
algebr137561451_a_d_e: carrie1105631105xt_a_b > set_a_a > ( ( a > a ) > carrie1948989069_d_a_e ) > a > ( ( a > a ) > d ) > ( a > a ) > d ).
thf(tp_algebr1620716610_d_d_e,type,
algebr1620716610_d_d_e: carrie1105631105xt_a_b > set_a_a_c_d > ( ( a > a > c > d ) > carrie1948989069_d_a_e ) > a > ( ( a > a > c > d ) > d ) > ( a > a > c > d ) > d ).
thf(tp_algebr1655014672_a_d_e,type,
algebr1655014672_a_d_e: carrie1105631105xt_a_b > set_a_a_a > ( ( a > a > a ) > carrie1948989069_d_a_e ) > a > ( ( a > a > a ) > d ) > ( a > a > a ) > d ).
thf(tp_algebr1697692348_c_d_e,type,
algebr1697692348_c_d_e: carrie1105631105xt_a_b > set_c > ( c > carrie1948989069_d_a_e ) > a > ( c > d ) > c > d ).
thf(tp_algebr1968153176_c_d_e,type,
algebr1968153176_c_d_e: carrie1105631105xt_a_b > set_c > ( c > carrie1948989069_d_a_e ) > carrie1954260683t_unit ).
thf(tp_algebr2109842362_a_d_e,type,
algebr2109842362_a_d_e: carrie1105631105xt_a_b > set_a > ( a > carrie1948989069_d_a_e ) > a > ( a > d ) > a > d ).
thf(tp_algebr2122715238_a_d_e,type,
algebr2122715238_a_d_e: carrie1105631105xt_a_b > set_a_a_a_a_a > ( ( a > a > a > a > a ) > carrie1948989069_d_a_e ) > a > ( ( a > a > a > a > a ) > d ) > ( a > a > a > a > a ) > d ).
thf(tp_algebr303206081_a_d_e,type,
algebr303206081_a_d_e: carrie1105631105xt_a_b > set_a_a_a_a > ( ( a > a > a > a ) > carrie1948989069_d_a_e ) > a > ( ( a > a > a > a ) > d ) > ( a > a > a > a ) > d ).
thf(tp_algebr417875517_d_d_e,type,
algebr417875517_d_d_e: carrie1105631105xt_a_b > set_d > ( d > carrie1948989069_d_a_e ) > a > ( d > d ) > d > d ).
thf(tp_algebr828196337_d_d_e,type,
algebr828196337_d_d_e: carrie1105631105xt_a_b > set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1948989069_d_a_e ) > a > ( ( ( c > d ) > c > d ) > d ) > ( ( c > d ) > c > d ) > d ).
thf(tp_algebr924632044_d_d_e,type,
algebr924632044_d_d_e: carrie1105631105xt_a_b > set_c_d > ( ( c > d ) > carrie1948989069_d_a_e ) > a > ( ( c > d ) > d ) > ( c > d ) > d ).
thf(tp_aset_s1743553894xt_a_b,type,
aset_s1743553894xt_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a ).
thf(tp_carr_d267359390xt_a_b,type,
carr_d267359390xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > set_a_a ).
thf(tp_carr_d56066307_d_a_e,type,
carr_d56066307_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > set_c_d ).
thf(tp_carr_p1080792380t_unit,type,
carr_p1080792380t_unit: set_c > ( c > carrie1954260683t_unit ) > set_c_c_d ).
thf(tp_carr_p1084104977_d_a_e,type,
carr_p1084104977_d_a_e: set_a > ( a > carrie1948989069_d_a_e ) > set_a_d ).
thf(tp_carr_p109409832xt_a_b,type,
carr_p109409832xt_a_b: set_a_a_c_d > ( ( a > a > c > d ) > carrie1105631105xt_a_b ) > set_a_a_c_d_a ).
thf(tp_carr_p1159644861t_unit,type,
carr_p1159644861t_unit: set_d > ( d > carrie1954260683t_unit ) > set_d_c_d ).
thf(tp_carr_p124510241_d_a_e,type,
carr_p124510241_d_a_e: set_c_d > ( ( c > d ) > carrie1948989069_d_a_e ) > set_c_d_d ).
thf(tp_carr_p1364179431_d_a_e,type,
carr_p1364179431_d_a_e: set_a_a_a > ( ( a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_d ).
thf(tp_carr_p1481099064xt_a_b,type,
carr_p1481099064xt_a_b: set_a_a_a > ( ( a > a > a ) > carrie1105631105xt_a_b ) > set_a_a_a_a4 ).
thf(tp_carr_p1617094073xt_a_b,type,
carr_p1617094073xt_a_b: set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1105631105xt_a_b ) > set_c_d_c_d_a2 ).
thf(tp_carr_p1636662547_d_a_e,type,
carr_p1636662547_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > set_c_d ).
thf(tp_carr_p1646427936_d_a_e,type,
carr_p1646427936_d_a_e: set_a_a > ( ( a > a ) > carrie1948989069_d_a_e ) > set_a_a_d ).
thf(tp_carr_p1850824937xt_a_b,type,
carr_p1850824937xt_a_b: set_a_a_a_a > ( ( a > a > a > a ) > carrie1105631105xt_a_b ) > set_a_a_a_a_a3 ).
thf(tp_carr_p1912941332_d_a_e,type,
carr_p1912941332_d_a_e: set_d > ( d > carrie1948989069_d_a_e ) > set_d_d ).
thf(tp_carr_p1980447933_d_a_e,type,
carr_p1980447933_d_a_e: set_a_a_a_a_a > ( ( a > a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a_a_d ).
thf(tp_carr_p290614414xt_a_b,type,
carr_p290614414xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > set_a_a ).
thf(tp_carr_p295160588xt_a_b,type,
carr_p295160588xt_a_b: set_c > ( c > carrie1105631105xt_a_b ) > set_c_a ).
thf(tp_carr_p297433675xt_a_b,type,
carr_p297433675xt_a_b: set_d > ( d > carrie1105631105xt_a_b ) > set_d_a ).
thf(tp_carr_p305487606_d_a_e,type,
carr_p305487606_d_a_e: set_a_a_a_a > ( ( a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a_d ).
thf(tp_carr_p428609062_d_a_e,type,
carr_p428609062_d_a_e: set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1948989069_d_a_e ) > set_c_d_c_d_d ).
thf(tp_carr_p577380087_d_a_e,type,
carr_p577380087_d_a_e: set_a_a_c_d > ( ( a > a > c > d ) > carrie1948989069_d_a_e ) > set_a_a_c_d_d ).
thf(tp_carr_p740328767xt_a_b,type,
carr_p740328767xt_a_b: set_a_a > ( ( a > a ) > carrie1105631105xt_a_b ) > set_a_a_a2 ).
thf(tp_carr_p923087418t_unit,type,
carr_p923087418t_unit: set_a > ( a > carrie1954260683t_unit ) > set_a_c_d ).
thf(tp_carr_p996491646xt_a_b,type,
carr_p996491646xt_a_b: set_c_d > ( ( c > d ) > carrie1105631105xt_a_b ) > set_c_d_a ).
thf(tp_carrie11369756_d_a_e,type,
carrie11369756_d_a_e: carrie1948989069_d_a_e > set_d ).
thf(tp_carrie20288686t_unit,type,
carrie20288686t_unit: carrie1954260683t_unit > set_c_d ).
thf(tp_carrie867757212xt_a_b,type,
carrie867757212xt_a_b: carrie1105631105xt_a_b > set_a ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_collect_a_a,type,
collect_a_a: ( ( a > a ) > $o ) > set_a_a ).
thf(tp_collect_a_a_a,type,
collect_a_a_a: ( ( a > a > a ) > $o ) > set_a_a_a ).
thf(tp_collect_a_a_a_a,type,
collect_a_a_a_a: ( ( a > a > a > a ) > $o ) > set_a_a_a_a ).
thf(tp_collect_a_a_c_d,type,
collect_a_a_c_d: ( ( a > a > c > d ) > $o ) > set_a_a_c_d ).
thf(tp_collect_c,type,
collect_c: ( c > $o ) > set_c ).
thf(tp_collect_c_d,type,
collect_c_d: ( ( c > d ) > $o ) > set_c_d ).
thf(tp_collect_c_d_c_d,type,
collect_c_d_c_d: ( ( ( c > d ) > c > d ) > $o ) > set_c_d_c_d ).
thf(tp_collect_d,type,
collect_d: ( d > $o ) > set_d ).
thf(tp_collect_nat,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(tp_i,type,
i: set_c ).
thf(tp_j_rad_a_b,type,
j_rad_a_b: carrie1105631105xt_a_b > set_a ).
thf(tp_local_ring_a_b,type,
local_ring_a_b: carrie1105631105xt_a_b > $o ).
thf(tp_m,type,
m: c > carrie1948989069_d_a_e ).
thf(tp_mHom_a1526663829t_unit,type,
mHom_a1526663829t_unit: carrie1105631105xt_a_b > carrie1954260683t_unit > carrie1954260683t_unit > set_c_d_c_d ).
thf(tp_mHom_a764575953it_d_e,type,
mHom_a764575953it_d_e: carrie1105631105xt_a_b > carrie1954260683t_unit > carrie1948989069_d_a_e > set_c_d_d ).
thf(tp_mHom_a_b_d_e_d_e,type,
mHom_a_b_d_e_d_e: carrie1105631105xt_a_b > carrie1948989069_d_a_e > carrie1948989069_d_a_e > set_d_d ).
thf(tp_maximal_ideal_a_b,type,
maximal_ideal_a_b: carrie1105631105xt_a_b > set_a > $o ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_member_a_a,type,
member_a_a: ( a > a ) > set_a_a > $o ).
thf(tp_member_a_a_a,type,
member_a_a_a: ( ( a > a ) > a ) > set_a_a_a2 > $o ).
thf(tp_member_a_a_a2,type,
member_a_a_a2: ( a > a > a ) > set_a_a_a > $o ).
thf(tp_member_a_a_a_a,type,
member_a_a_a_a: ( ( a > a > a ) > a ) > set_a_a_a_a4 > $o ).
thf(tp_member_a_a_a_a2,type,
member_a_a_a_a2: ( ( a > a ) > a > a ) > set_a_a_a_a3 > $o ).
thf(tp_member_a_a_a_a3,type,
member_a_a_a_a3: ( a > ( a > a ) > a ) > set_a_a_a_a2 > $o ).
thf(tp_member_a_a_a_a4,type,
member_a_a_a_a4: ( a > a > a > a ) > set_a_a_a_a > $o ).
thf(tp_member_a_a_a_a_a,type,
member_a_a_a_a_a: ( ( a > a > a > a ) > a ) > set_a_a_a_a_a3 > $o ).
thf(tp_member_a_a_a_a_a2,type,
member_a_a_a_a_a2: ( ( a > a > a ) > a > a ) > set_a_a_a_a_a2 > $o ).
thf(tp_member_a_a_a_a_a3,type,
member_a_a_a_a_a3: ( a > a > a > a > a ) > set_a_a_a_a_a > $o ).
thf(tp_member_a_a_a_a_a_d,type,
member_a_a_a_a_a_d: ( ( a > a > a > a > a ) > d ) > set_a_a_a_a_a_d > $o ).
thf(tp_member_a_a_a_a_d,type,
member_a_a_a_a_d: ( ( a > a > a > a ) > d ) > set_a_a_a_a_d > $o ).
thf(tp_member_a_a_a_c_d,type,
member_a_a_a_c_d: ( ( a > a > a ) > c > d ) > set_a_a_a_c_d > $o ).
thf(tp_member_a_a_a_d,type,
member_a_a_a_d: ( ( a > a > a ) > d ) > set_a_a_a_d > $o ).
thf(tp_member_a_a_c_d,type,
member_a_a_c_d: ( ( a > a ) > c > d ) > set_a_a_c_d2 > $o ).
thf(tp_member_a_a_c_d2,type,
member_a_a_c_d2: ( a > a > c > d ) > set_a_a_c_d > $o ).
thf(tp_member_a_a_c_d_a,type,
member_a_a_c_d_a: ( ( a > a > c > d ) > a ) > set_a_a_c_d_a > $o ).
thf(tp_member_a_a_c_d_c_d,type,
member_a_a_c_d_c_d: ( a > a > ( c > d ) > c > d ) > set_a_a_c_d_c_d > $o ).
thf(tp_member_a_a_c_d_d,type,
member_a_a_c_d_d: ( ( a > a > c > d ) > d ) > set_a_a_c_d_d > $o ).
thf(tp_member_a_a_d,type,
member_a_a_d: ( ( a > a ) > d ) > set_a_a_d > $o ).
thf(tp_member_a_c,type,
member_a_c: ( a > c ) > set_a_c > $o ).
thf(tp_member_a_c_d,type,
member_a_c_d: ( a > c > d ) > set_a_c_d > $o ).
thf(tp_member_a_c_d_a,type,
member_a_c_d_a: ( a > ( c > d ) > a ) > set_a_c_d_a > $o ).
thf(tp_member_a_c_d_c_d,type,
member_a_c_d_c_d: ( a > ( c > d ) > c > d ) > set_a_c_d_c_d > $o ).
thf(tp_member_a_d,type,
member_a_d: ( a > d ) > set_a_d > $o ).
thf(tp_member_c,type,
member_c: c > set_c > $o ).
thf(tp_member_c_a,type,
member_c_a: ( c > a ) > set_c_a > $o ).
thf(tp_member_c_c,type,
member_c_c: ( c > c ) > set_c_c > $o ).
thf(tp_member_c_c_d,type,
member_c_c_d: ( c > c > d ) > set_c_c_d > $o ).
thf(tp_member_c_d,type,
member_c_d: ( c > d ) > set_c_d > $o ).
thf(tp_member_c_d_a,type,
member_c_d_a: ( ( c > d ) > a ) > set_c_d_a > $o ).
thf(tp_member_c_d_a_a,type,
member_c_d_a_a: ( ( c > d ) > a > a ) > set_c_d_a_a > $o ).
thf(tp_member_c_d_a_a_a,type,
member_c_d_a_a_a: ( ( c > d ) > ( a > a ) > a ) > set_c_d_a_a_a2 > $o ).
thf(tp_member_c_d_a_a_a2,type,
member_c_d_a_a_a2: ( ( c > d ) > a > a > a ) > set_c_d_a_a_a > $o ).
thf(tp_member_c_d_c_d,type,
member_c_d_c_d: ( ( c > d ) > c > d ) > set_c_d_c_d > $o ).
thf(tp_member_c_d_c_d_a,type,
member_c_d_c_d_a: ( ( ( c > d ) > c > d ) > a ) > set_c_d_c_d_a2 > $o ).
thf(tp_member_c_d_c_d_a2,type,
member_c_d_c_d_a2: ( ( c > d ) > ( c > d ) > a ) > set_c_d_c_d_a > $o ).
thf(tp_member_c_d_c_d_c_d,type,
member_c_d_c_d_c_d: ( ( c > d ) > ( c > d ) > c > d ) > set_c_d_c_d_c_d > $o ).
thf(tp_member_c_d_c_d_d,type,
member_c_d_c_d_d: ( ( ( c > d ) > c > d ) > d ) > set_c_d_c_d_d > $o ).
thf(tp_member_c_d_d,type,
member_c_d_d: ( ( c > d ) > d ) > set_c_d_d > $o ).
thf(tp_member_d,type,
member_d: d > set_d > $o ).
thf(tp_member_d_a,type,
member_d_a: ( d > a ) > set_d_a > $o ).
thf(tp_member_d_c,type,
member_d_c: ( d > c ) > set_d_c > $o ).
thf(tp_member_d_c_d,type,
member_d_c_d: ( d > c > d ) > set_d_c_d > $o ).
thf(tp_member_d_d,type,
member_d_d: ( d > d ) > set_d_d > $o ).
thf(tp_member_nat,type,
member_nat: nat > set_nat > $o ).
thf(tp_module1440397025unit_b,type,
module1440397025unit_b: carrie1954260683t_unit > carrie1105631105xt_a_b > $o ).
thf(tp_module_d_a_e_b,type,
module_d_a_e_b: carrie1948989069_d_a_e > carrie1105631105xt_a_b > $o ).
thf(tp_mop_a_Ring_ext_a_b,type,
mop_a_Ring_ext_a_b: carrie1105631105xt_a_b > a > a ).
thf(tp_mul_closed_set_a_b,type,
mul_closed_set_a_b: carrie1105631105xt_a_b > set_a > $o ).
thf(tp_nscal_a_b,type,
nscal_a_b: carrie1105631105xt_a_b > a > nat > a ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_pi_a_a,type,
pi_a_a: set_a > ( a > set_a ) > set_a_a ).
thf(tp_pi_a_a_a,type,
pi_a_a_a: set_a_a > ( ( a > a ) > set_a ) > set_a_a_a2 ).
thf(tp_pi_a_a_a2,type,
pi_a_a_a2: set_a > ( a > set_a_a ) > set_a_a_a ).
thf(tp_pi_a_a_a_a,type,
pi_a_a_a_a: set_a_a_a > ( ( a > a > a ) > set_a ) > set_a_a_a_a4 ).
thf(tp_pi_a_a_a_a2,type,
pi_a_a_a_a2: set_a_a > ( ( a > a ) > set_a_a ) > set_a_a_a_a3 ).
thf(tp_pi_a_a_a_a3,type,
pi_a_a_a_a3: set_a > ( a > set_a_a_a2 ) > set_a_a_a_a2 ).
thf(tp_pi_a_a_a_a4,type,
pi_a_a_a_a4: set_a > ( a > set_a_a_a ) > set_a_a_a_a ).
thf(tp_pi_a_a_a_a_a,type,
pi_a_a_a_a_a: set_a_a_a > ( ( a > a > a ) > set_a_a ) > set_a_a_a_a_a2 ).
thf(tp_pi_a_a_a_a_a2,type,
pi_a_a_a_a_a2: set_a > ( a > set_a_a_a_a ) > set_a_a_a_a_a ).
thf(tp_pi_a_a_a_c_d,type,
pi_a_a_a_c_d: set_a_a_a > ( ( a > a > a ) > set_c_d ) > set_a_a_a_c_d ).
thf(tp_pi_a_a_c_d,type,
pi_a_a_c_d: set_a_a > ( ( a > a ) > set_c_d ) > set_a_a_c_d2 ).
thf(tp_pi_a_a_c_d2,type,
pi_a_a_c_d2: set_a > ( a > set_a_c_d ) > set_a_a_c_d ).
thf(tp_pi_a_a_c_d_c_d,type,
pi_a_a_c_d_c_d: set_a > ( a > set_a_c_d_c_d ) > set_a_a_c_d_c_d ).
thf(tp_pi_a_c,type,
pi_a_c: set_a > ( a > set_c ) > set_a_c ).
thf(tp_pi_a_c_d,type,
pi_a_c_d: set_a > ( a > set_c_d ) > set_a_c_d ).
thf(tp_pi_a_c_d_a,type,
pi_a_c_d_a: set_a > ( a > set_c_d_a ) > set_a_c_d_a ).
thf(tp_pi_a_d,type,
pi_a_d: set_a > ( a > set_d ) > set_a_d ).
thf(tp_pi_c_a,type,
pi_c_a: set_c > ( c > set_a ) > set_c_a ).
thf(tp_pi_c_c,type,
pi_c_c: set_c > ( c > set_c ) > set_c_c ).
thf(tp_pi_c_d,type,
pi_c_d: set_c > ( c > set_d ) > set_c_d ).
thf(tp_pi_c_d_a,type,
pi_c_d_a: set_c_d > ( ( c > d ) > set_a ) > set_c_d_a ).
thf(tp_pi_c_d_a_a,type,
pi_c_d_a_a: set_c_d > ( ( c > d ) > set_a_a ) > set_c_d_a_a ).
thf(tp_pi_c_d_a_a_a,type,
pi_c_d_a_a_a: set_c_d > ( ( c > d ) > set_a_a_a2 ) > set_c_d_a_a_a2 ).
thf(tp_pi_c_d_a_a_a2,type,
pi_c_d_a_a_a2: set_c_d > ( ( c > d ) > set_a_a_a ) > set_c_d_a_a_a ).
thf(tp_pi_c_d_c_d,type,
pi_c_d_c_d: set_c_d > ( ( c > d ) > set_c_d ) > set_c_d_c_d ).
thf(tp_pi_c_d_c_d_a,type,
pi_c_d_c_d_a: set_c_d > ( ( c > d ) > set_c_d_a ) > set_c_d_c_d_a ).
thf(tp_pi_c_d_c_d_c_d,type,
pi_c_d_c_d_c_d: set_c_d > ( ( c > d ) > set_c_d_c_d ) > set_c_d_c_d_c_d ).
thf(tp_pi_d_a,type,
pi_d_a: set_d > ( d > set_a ) > set_d_a ).
thf(tp_pi_d_c,type,
pi_d_c: set_d > ( d > set_c ) > set_d_c ).
thf(tp_pi_d_d,type,
pi_d_d: set_d > ( d > set_d ) > set_d_d ).
thf(tp_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(tp_pop_a_Ring_ext_a_b,type,
pop_a_Ring_ext_a_b: carrie1105631105xt_a_b > a > a > a ).
thf(tp_pop_c_449750139t_unit,type,
pop_c_449750139t_unit: carrie1954260683t_unit > ( c > d ) > ( c > d ) > c > d ).
thf(tp_pop_d_261713874_d_a_e,type,
pop_d_261713874_d_a_e: carrie1948989069_d_a_e > d > d > d ).
thf(tp_primary_ideal_a_b,type,
primary_ideal_a_b: carrie1105631105xt_a_b > set_a > $o ).
thf(tp_prod_m2022989242xt_a_b,type,
prod_m2022989242xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > ( a > a ) > a > a ).
thf(tp_prod_m854557927_d_a_e,type,
prod_m854557927_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > ( c > d ) > c > d ).
thf(tp_prod_p1210452560xt_a_b,type,
prod_p1210452560xt_a_b: set_a_a > ( ( a > a ) > carrie1105631105xt_a_b ) > ( ( a > a ) > a ) > ( ( a > a ) > a ) > ( a > a ) > a ).
thf(tp_prod_p131511076_d_a_e,type,
prod_p131511076_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > ( c > d ) > ( c > d ) > c > d ).
thf(tp_prod_p1460711911xt_a_b,type,
prod_p1460711911xt_a_b: set_a_a_a > ( ( a > a > a ) > carrie1105631105xt_a_b ) > ( ( a > a > a ) > a ) > ( ( a > a > a ) > a ) > ( a > a > a ) > a ).
thf(tp_prod_p1466615439xt_a_b,type,
prod_p1466615439xt_a_b: set_c_d > ( ( c > d ) > carrie1105631105xt_a_b ) > ( ( c > d ) > a ) > ( ( c > d ) > a ) > ( c > d ) > a ).
thf(tp_prod_p1959959370xt_a_b,type,
prod_p1959959370xt_a_b: set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1105631105xt_a_b ) > ( ( ( c > d ) > c > d ) > a ) > ( ( ( c > d ) > c > d ) > a ) > ( ( c > d ) > c > d ) > a ).
thf(tp_prod_p452275129xt_a_b,type,
prod_p452275129xt_a_b: set_a_a_c_d > ( ( a > a > c > d ) > carrie1105631105xt_a_b ) > ( ( a > a > c > d ) > a ) > ( ( a > a > c > d ) > a ) > ( a > a > c > d ) > a ).
thf(tp_prod_p46206586xt_a_b,type,
prod_p46206586xt_a_b: set_a_a_a_a > ( ( a > a > a > a ) > carrie1105631105xt_a_b ) > ( ( a > a > a > a ) > a ) > ( ( a > a > a > a ) > a ) > ( a > a > a > a ) > a ).
thf(tp_prod_p704341949xt_a_b,type,
prod_p704341949xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > ( a > a ) > ( a > a ) > a > a ).
thf(tp_prod_p708888123xt_a_b,type,
prod_p708888123xt_a_b: set_c > ( c > carrie1105631105xt_a_b ) > ( c > a ) > ( c > a ) > c > a ).
thf(tp_prod_p711161210xt_a_b,type,
prod_p711161210xt_a_b: set_d > ( d > carrie1105631105xt_a_b ) > ( d > a ) > ( d > a ) > d > a ).
thf(tp_prod_z1214987823_d_a_e,type,
prod_z1214987823_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > c > d ).
thf(tp_prod_z851058290xt_a_b,type,
prod_z851058290xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > a > a ).
thf(tp_r,type,
r: carrie1105631105xt_a_b ).
thf(tp_ring_a_b,type,
ring_a_b: carrie1105631105xt_a_b > $o ).
thf(tp_sK10_X,type,
sK10_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK11_X,type,
sK11_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK12_X,type,
sK12_X: set_d > ( c > d ) > set_c > c ).
thf(tp_sK13_X,type,
sK13_X: ( c > set_d ) > ( c > d ) > set_c > c ).
thf(tp_sK14_W,type,
sK14_W: ( c > d ) > ( c > d ) > set_c > c ).
thf(tp_sK15_W,type,
sK15_W: ( ( c > d ) > c > d ) > ( ( c > d ) > c > d ) > set_c_d > c > d ).
thf(tp_sK16_W,type,
sK16_W: ( ( c > d ) > ( c > d ) > c > d ) > ( ( c > d ) > ( c > d ) > c > d ) > set_c_d > c > d ).
thf(tp_sK17_X,type,
sK17_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK18_X,type,
sK18_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK19_X,type,
sK19_X: ( c > d ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK1_A4,type,
sK1_A4: c > d ).
thf(tp_sK20_X,type,
sK20_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK21_X,type,
sK21_X: ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK22_X,type,
sK22_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK23_X,type,
sK23_X: ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK24_X,type,
sK24_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK25_X,type,
sK25_X: ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK26_X,type,
sK26_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK27_X,type,
sK27_X: ( c > d ) > ( c > d ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK28_X,type,
sK28_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK29_X,type,
sK29_X: set_c_d > ( ( c > d ) > c > d ) > set_c_d > c > d ).
thf(tp_sK2_X,type,
sK2_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK30_X,type,
sK30_X: ( ( c > d ) > set_c_d ) > ( ( c > d ) > c > d ) > set_c_d > c > d ).
thf(tp_sK31_SV123,type,
sK31_SV123: c ).
thf(tp_sK32_SY547,type,
sK32_SY547: ( ( c > d ) > set_c_d ) > ( ( c > d ) > c > d ) > set_c_d > c > d ).
thf(tp_sK33_SY550,type,
sK33_SY550: ( ( c > d ) > set_c_d_c_d ) > ( ( c > d ) > ( c > d ) > c > d ) > set_c_d > c > d ).
thf(tp_sK34_SY556,type,
sK34_SY556: ( c > set_d ) > ( c > d ) > set_c > c ).
thf(tp_sK35_SV161,type,
sK35_SV161: set_d > set_c > ( c > d ) > ( c > d ) > c ).
thf(tp_sK36_SV162,type,
sK36_SV162: set_c_d_c_d > set_c_d > ( ( c > d ) > ( c > d ) > c > d ) > ( ( c > d ) > ( c > d ) > c > d ) > c > d ).
thf(tp_sK37_SV163,type,
sK37_SV163: set_c_d > set_c_d > ( ( c > d ) > c > d ) > ( ( c > d ) > c > d ) > c > d ).
thf(tp_sK38_SV164,type,
sK38_SV164: set_c_d > ( ( c > d ) > ( c > d ) > c > d ) > ( ( c > d ) > ( c > d ) > c > d ) > c > d ).
thf(tp_sK39_SV166,type,
sK39_SV166: set_c_d > ( ( c > d ) > c > d ) > ( ( c > d ) > c > d ) > c ).
thf(tp_sK3_X,type,
sK3_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK40_SV177,type,
sK40_SV177: set_c_d_c_d > set_c_d > ( ( c > d ) > ( c > d ) > c > d ) > ( ( c > d ) > ( c > d ) > c > d ) > c > d ).
thf(tp_sK41_SV178,type,
sK41_SV178: set_c_d > set_c_d > ( ( c > d ) > c > d ) > ( ( c > d ) > c > d ) > c > d ).
thf(tp_sK42_SV179,type,
sK42_SV179: set_d > set_c > ( c > d ) > ( c > d ) > c ).
thf(tp_sK43_SV180,type,
sK43_SV180: set_c_d_c_d > set_c_d > ( ( c > d ) > ( c > d ) > c > d ) > ( ( c > d ) > ( c > d ) > c > d ) > c > d ).
thf(tp_sK44_SV181,type,
sK44_SV181: set_c_d > set_c_d > ( ( c > d ) > c > d ) > ( ( c > d ) > c > d ) > c > d ).
thf(tp_sK45_SV182,type,
sK45_SV182: set_d > set_c > ( c > d ) > ( c > d ) > c ).
thf(tp_sK46_SV183,type,
sK46_SV183: ( ( c > d ) > ( c > d ) > c > d ) > set_c_d > set_c_d_c_d > ( ( c > d ) > ( c > d ) > c > d ) > c > d ).
thf(tp_sK47_SV184,type,
sK47_SV184: ( ( c > d ) > c > d ) > set_c_d > set_c_d > ( ( c > d ) > c > d ) > c ).
thf(tp_sK48_SV185,type,
sK48_SV185: set_c_d > ( ( c > d ) > ( c > d ) > c > d ) > ( ( c > d ) > ( c > d ) > c > d ) > c ).
thf(tp_sK49_SV206,type,
sK49_SV206: ( ( c > d ) > ( c > d ) > c > d ) > set_c_d > set_c_d_c_d > ( ( c > d ) > ( c > d ) > c > d ) > c > d ).
thf(tp_sK4_X,type,
sK4_X: ( c > d ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK50_SV207,type,
sK50_SV207: ( ( c > d ) > c > d ) > set_c_d > set_c_d > ( ( c > d ) > c > d ) > c ).
thf(tp_sK51_SV209,type,
sK51_SV209: ( ( c > d ) > ( c > d ) > c > d ) > set_c_d > set_c_d_c_d > ( ( c > d ) > ( c > d ) > c > d ) > c > d ).
thf(tp_sK52_SV210,type,
sK52_SV210: ( ( c > d ) > c > d ) > set_c_d > set_c_d > ( ( c > d ) > c > d ) > c ).
thf(tp_sK53_SV212,type,
sK53_SV212: ( ( c > d ) > ( c > d ) > c > d ) > set_c_d > set_c_d_c_d > ( ( c > d ) > ( c > d ) > c > d ) > c ).
thf(tp_sK54_SV253,type,
sK54_SV253: ( ( c > d ) > ( c > d ) > c > d ) > set_c_d > set_c_d_c_d > ( ( c > d ) > ( c > d ) > c > d ) > c ).
thf(tp_sK55_SV257,type,
sK55_SV257: ( ( c > d ) > ( c > d ) > c > d ) > set_c_d > set_c_d_c_d > ( ( c > d ) > ( c > d ) > c > d ) > c ).
thf(tp_sK5_X,type,
sK5_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK6_X,type,
sK6_X: ( c > set_d ) > ( c > d ) > set_c > c ).
thf(tp_sK7_X,type,
sK7_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK8_X,type,
sK8_X: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sK9_X,type,
sK9_X: ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(tp_sprod_1929599593t_unit,type,
sprod_1929599593t_unit: carrie1954260683t_unit > a > ( c > d ) > c > d ).
thf(tp_sprod_d_a_e,type,
sprod_d_a_e: carrie1948989069_d_a_e > a > d > d ).
thf(tp_sr_a_b,type,
sr_a_b: carrie1105631105xt_a_b > set_a > carrie1105631105xt_a_b ).
thf(tp_sr_a_b2,type,
sr_a_b2: carrie1105631105xt_a_b > set_a > $o ).
thf(tp_subring_a_b_b,type,
subring_a_b_b: carrie1105631105xt_a_b > carrie1105631105xt_a_b > $o ).
thf(tp_sum_mult_a_b,type,
sum_mult_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a ).
thf(tp_tp_a_b,type,
tp_a_b: carrie1105631105xt_a_b > a > a > a ).
thf(tp_un_a_b,type,
un_a_b: carrie1105631105xt_a_b > a ).
thf(tp_unit_a_b,type,
unit_a_b: carrie1105631105xt_a_b > a > $o ).
thf(tp_zeroring_a_b,type,
zeroring_a_b: carrie1105631105xt_a_b > $o ).
thf(57,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d @ ( prod_z1214987823_d_a_e @ I @ A ) @ ( carr_d56066307_d_a_e @ I @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_dsum__zero__func) ).
thf(61,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d,Y: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_d56066307_d_a_e @ I @ A ) )
=> ( ( member_c_d @ Y @ ( carr_d56066307_d_a_e @ I @ A ) )
=> ( member_c_d @ ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y ) @ ( carr_d56066307_d_a_e @ I @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_dsum__pOp__mem) ).
thf(69,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d,Y: c > d,I2: c] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c @ I2 @ I )
=> ( ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y @ I2 )
= ( pop_d_261713874_d_a_e @ ( A @ I2 ) @ ( X4 @ I2 ) @ ( Y @ I2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_prod__pOp__mem__i) ).
thf(152,axiom,
! [A: set_c_d_c_d] :
( ( collect_c_d_c_d
@ ^ [X3: ( c > d ) > c > d] : ( member_c_d_c_d @ X3 @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_Collect__mem__eq) ).
thf(155,axiom,
! [A: set_c_d] :
( ( collect_c_d
@ ^ [X3: c > d] : ( member_c_d @ X3 @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_Collect__mem__eq) ).
thf(157,axiom,
! [A: set_c] :
( ( collect_c
@ ^ [X3: c] : ( member_c @ X3 @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_Collect__mem__eq) ).
thf(162,axiom,
! [A2: ( c > d ) > c > d,P: ( ( c > d ) > c > d ) > $o] :
( ( member_c_d_c_d @ A2 @ ( collect_c_d_c_d @ P ) )
= ( P @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_mem__Collect__eq) ).
thf(165,axiom,
! [A2: c > d,P: ( c > d ) > $o] :
( ( member_c_d @ A2 @ ( collect_c_d @ P ) )
= ( P @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_mem__Collect__eq) ).
thf(167,axiom,
! [A2: c,P: c > $o] :
( ( member_c @ A2 @ ( collect_c @ P ) )
= ( P @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_mem__Collect__eq) ).
thf(170,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ I @ A )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ I @ A )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ I @ A )
@ ^ [Uv: c > d] : ( carr_d56066307_d_a_e @ I @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_dsum__pOp__func) ).
thf(187,axiom,
! [F: c > d,A: set_c,B: c > set_d,X2: c] :
( ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
=> ( ~ ( member_d @ ( F @ X2 ) @ ( B @ X2 ) )
=> ~ ( member_c @ X2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_PiE) ).
thf(197,axiom,
! [A: set_c,F: c > d,B: c > set_d] :
( ! [X: c] :
( ( member_c @ X @ A )
=> ( member_d @ ( F @ X ) @ ( B @ X ) ) )
=> ( member_c_d @ F @ ( pi_c_d @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_Pi__I_H) ).
thf(210,axiom,
! [F: c > d,I: set_c,X4: c > set_d] :
( ( member_c_d @ F @ ( pi_c_d @ I @ X4 ) )
= ( ! [X3: c] :
( ( member_c @ X3 @ I )
=> ( member_d @ ( F @ X3 ) @ ( X4 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_Pi__iff) ).
thf(211,axiom,
! [F: ( c > d ) > c > d,I: set_c_d,X4: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ I @ X4 ) )
= ( ! [X3: c > d] :
( ( member_c_d @ X3 @ I )
=> ( member_c_d @ ( F @ X3 ) @ ( X4 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_Pi__iff) ).
thf(213,axiom,
! [F: ( c > d ) > ( c > d ) > c > d,I: set_c_d,X4: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ F @ ( pi_c_d_c_d_c_d @ I @ X4 ) )
= ( ! [X3: c > d] :
( ( member_c_d @ X3 @ I )
=> ( member_c_d_c_d @ ( F @ X3 ) @ ( X4 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_Pi__iff) ).
thf(217,axiom,
! [F: c > d,A: set_c,B: c > set_d,X2: c] :
( ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
=> ( ( member_c @ X2 @ A )
=> ( member_d @ ( F @ X2 ) @ ( B @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_Pi__mem) ).
thf(225,axiom,
! [A: set_c,F: c > d,G: c > d,B: c > set_d] :
( ! [W: c] :
( ( member_c @ W @ A )
=> ( ( F @ W )
= ( G @ W ) ) )
=> ( ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
= ( member_c_d @ G @ ( pi_c_d @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_Pi__cong) ).
thf(233,axiom,
! [A: set_c_d,F: ( c > d ) > c > d,G: ( c > d ) > c > d,B: ( c > d ) > set_c_d] :
( ! [W: c > d] :
( ( member_c_d @ W @ A )
=> ( ( F @ W )
= ( G @ W ) ) )
=> ( ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ A @ B ) )
= ( member_c_d_c_d @ G @ ( pi_c_d_c_d @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_Pi__cong) ).
thf(234,axiom,
! [A: set_c_d,F: ( c > d ) > ( c > d ) > c > d,G: ( c > d ) > ( c > d ) > c > d,B: ( c > d ) > set_c_d_c_d] :
( ! [W: c > d] :
( ( member_c_d @ W @ A )
=> ( ( F @ W )
= ( G @ W ) ) )
=> ( ( member_c_d_c_d_c_d @ F @ ( pi_c_d_c_d_c_d @ A @ B ) )
= ( member_c_d_c_d_c_d @ G @ ( pi_c_d_c_d_c_d @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_Pi__cong) ).
thf(235,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ I @ A )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uu: c > d] : ( carr_p1636662547_d_a_e @ I @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_prod__mOp__func) ).
thf(236,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d @ ( prod_z1214987823_d_a_e @ I @ A ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_prod__zero__func) ).
thf(238,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( member_c_d @ ( prod_m854557927_d_a_e @ I @ A @ X4 ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_prod__mOp__mem) ).
thf(240,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d,Y: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( member_c_d @ ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_prod__pOp__mem) ).
thf(242,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,A2: c > d,B2: c > d,C2: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ A2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ B2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ C2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( prod_p131511076_d_a_e @ I @ A @ ( prod_p131511076_d_a_e @ I @ A @ A2 @ B2 ) @ C2 )
= ( prod_p131511076_d_a_e @ I @ A @ A2 @ ( prod_p131511076_d_a_e @ I @ A @ B2 @ C2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_prod__pOp__assoc) ).
thf(244,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,A2: c > d,B2: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ A2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ B2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( prod_p131511076_d_a_e @ I @ A @ A2 @ B2 )
= ( prod_p131511076_d_a_e @ I @ A @ B2 @ A2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_prod__pOp__commute) ).
thf(248,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,B: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( A @ X )
= ( B @ X ) ) )
=> ( ( prod_z1214987823_d_a_e @ I @ A )
= ( prod_z1214987823_d_a_e @ I @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_prodag__sameTr4) ).
thf(249,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,B: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( A @ X )
= ( B @ X ) ) )
=> ( ( prod_m854557927_d_a_e @ I @ A )
= ( prod_m854557927_d_a_e @ I @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_prodag__sameTr3) ).
thf(250,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,B: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( A @ X )
= ( B @ X ) ) )
=> ( ( prod_p131511076_d_a_e @ I @ A )
= ( prod_p131511076_d_a_e @ I @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_prodag__sameTr2) ).
thf(261,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,B: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( A @ X )
= ( B @ X ) ) )
=> ( ( carr_p1636662547_d_a_e @ I @ A )
= ( carr_p1636662547_d_a_e @ I @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_prodag__sameTr1) ).
thf(262,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d,Y: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( X4 @ X )
= ( Y @ X ) ) )
=> ( X4 = Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_carr__prodag__mem__eq) ).
thf(270,axiom,
! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ I @ A )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uv: c > d] : ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_prod__pOp__func) ).
thf(273,axiom,
! [F: c > d,A: set_c,B: set_d,X2: c] :
( ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( member_c @ X2 @ A )
=> ( member_d @ ( F @ X2 ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_Algebra1_Ofuncset__mem) ).
thf(282,axiom,
! [A: set_c_d] :
( member_c_d_c_d
@ ^ [X3: c > d] : X3
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_funcset__id) ).
thf(285,axiom,
! [F: c > d,A: set_c,B: set_d,G: c > d,X2: c] :
( ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( F = G )
=> ( ( member_c @ X2 @ A )
=> ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_eq__funcs) ).
thf(286,axiom,
! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d,G: ( c > d ) > c > d,X2: c > d] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( ( member_c_d @ X2 @ A )
=> ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_eq__funcs) ).
thf(287,axiom,
! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d,G: ( c > d ) > ( c > d ) > c > d,X2: c > d] :
( ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( ( member_c_d @ X2 @ A )
=> ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_eq__funcs) ).
thf(296,axiom,
! [A: set_c_d,F: ( c > d ) > c > d,B: set_c_d] :
( ! [X: c > d] :
( ( member_c_d @ X @ A )
=> ( member_c_d @ ( F @ X ) @ B ) )
=> ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_funcsetI) ).
thf(302,axiom,
! [A: set_c,F: c > d,B: set_d] :
( ! [X: c] :
( ( member_c @ X @ A )
=> ( member_d @ ( F @ X ) @ B ) )
=> ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_funcsetI) ).
thf(305,axiom,
! [F: c > d,A: set_c,B: set_d,G: c > d,A2: c] :
( ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( F = G )
=> ( ( member_c @ A2 @ A )
=> ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_funcTr) ).
thf(306,axiom,
! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d,G: ( c > d ) > c > d,A2: c > d] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( ( member_c_d @ A2 @ A )
=> ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_funcTr) ).
thf(307,axiom,
! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d,G: ( c > d ) > ( c > d ) > c > d,A2: c > d] :
( ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( ( member_c_d @ A2 @ A )
=> ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_funcTr) ).
thf(315,axiom,
! [F: c > d,A: set_c,B: set_d,G: c > d] :
( ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( F = G )
=> ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_eq__fun) ).
thf(316,axiom,
! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d,G: ( c > d ) > c > d] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_eq__fun) ).
thf(317,axiom,
! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d,G: ( c > d ) > ( c > d ) > c > d] :
( ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_eq__fun) ).
thf(328,axiom,
! [A: set_c_d,F: ( c > d ) > c > d,B: ( c > d ) > set_c_d] :
( ! [X: c > d] :
( ( member_c_d @ X @ A )
=> ( member_c_d @ ( F @ X ) @ ( B @ X ) ) )
=> ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_Pi__I) ).
thf(334,axiom,
! [A: set_c,F: c > d,B: c > set_d] :
( ! [X: c] :
( ( member_c @ X @ A )
=> ( member_d @ ( F @ X ) @ ( B @ X ) ) )
=> ( member_c_d @ F @ ( pi_c_d @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_Pi__I) ).
thf(337,axiom,
! [F: ( c > d ) > c > d,A: set_c_d,B: set_c,C: set_d,A2: c > d,B2: c] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] :
( pi_c_d @ B
@ ^ [Uv: c] : C ) ) )
=> ( ( member_c_d @ A2 @ A )
=> ( ( member_c @ B2 @ B )
=> ( member_d @ ( F @ A2 @ B2 ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_bivar__fun__mem) ).
thf(348,axiom,
! [F: ( c > d ) > c > d,A: set_c_d,B: set_c,C: set_d,A2: c > d] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] :
( pi_c_d @ B
@ ^ [Uv: c] : C ) ) )
=> ( ( member_c_d @ A2 @ A )
=> ( member_c_d @ ( F @ A2 )
@ ( pi_c_d @ B
@ ^ [Uu: c] : C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_bivar__fun) ).
thf(356,axiom,
( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uv: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ! [A3: c > d] :
( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [B3: c > d] :
( ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [C3: c > d] :
( ( member_c_d @ C3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 ) @ C3 )
= ( prod_p131511076_d_a_e @ i @ m @ A3 @ ( prod_p131511076_d_a_e @ i @ m @ B3 @ C3 ) ) ) ) ) )
& ! [A3: c > d] :
( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [B3: c > d] :
( ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 )
= ( prod_p131511076_d_a_e @ i @ m @ B3 @ A3 ) ) ) )
& ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uu: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ! [A3: c > d] :
( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ A3 ) @ A3 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
& ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
& ! [A3: c > d] :
( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ A3 )
= A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(358,conjecture,
! [A4: c > d] :
( ~ ( member_c_d @ A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= A4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
thf(359,negated_conjecture,
( ( ! [A4: c > d] :
( ~ ( member_c_d @ A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= A4 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[358]) ).
thf(360,plain,
( ( ! [A4: c > d] :
( ~ ( member_c_d @ A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= A4 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[359]) ).
thf(361,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d @ ( prod_z1214987823_d_a_e @ I @ A ) @ ( carr_d56066307_d_a_e @ I @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(362,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d,Y: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_d56066307_d_a_e @ I @ A ) )
=> ( ( member_c_d @ Y @ ( carr_d56066307_d_a_e @ I @ A ) )
=> ( member_c_d @ ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y ) @ ( carr_d56066307_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(363,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d,Y: c > d,I2: c] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c @ I2 @ I )
=> ( ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y @ I2 )
= ( pop_d_261713874_d_a_e @ ( A @ I2 ) @ ( X4 @ I2 ) @ ( Y @ I2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(364,plain,
( ( ! [A: set_c_d_c_d] :
( ( collect_c_d_c_d
@ ^ [X3: ( c > d ) > c > d] : ( member_c_d_c_d @ X3 @ A ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(365,plain,
( ( ! [A: set_c] :
( ( collect_c
@ ^ [X3: c] : ( member_c @ X3 @ A ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(366,plain,
( ( ! [A2: ( c > d ) > c > d,P: ( ( c > d ) > c > d ) > $o] :
( ( member_c_d_c_d @ A2 @ ( collect_c_d_c_d @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(367,plain,
( ( ! [A2: c,P: c > $o] :
( ( member_c @ A2 @ ( collect_c @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(368,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ I @ A )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ I @ A )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ I @ A )
@ ^ [Uv: c > d] : ( carr_d56066307_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(369,plain,
( ( ! [F: c > d,A: set_c,B: c > set_d,X2: c] :
( ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
=> ( ~ ( member_d @ ( F @ X2 ) @ ( B @ X2 ) )
=> ~ ( member_c @ X2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(370,plain,
( ( ! [A: set_c,F: c > d,B: c > set_d] :
( ! [X: c] :
( ( member_c @ X @ A )
=> ( member_d @ ( F @ X ) @ ( B @ X ) ) )
=> ( member_c_d @ F @ ( pi_c_d @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(371,plain,
( ( ! [F: c > d,I: set_c,X4: c > set_d] :
( ( member_c_d @ F @ ( pi_c_d @ I @ X4 ) )
= ( ! [X3: c] :
( ( member_c @ X3 @ I )
=> ( member_d @ ( F @ X3 ) @ ( X4 @ X3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(372,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,I: set_c_d,X4: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ F @ ( pi_c_d_c_d_c_d @ I @ X4 ) )
= ( ! [X3: c > d] :
( ( member_c_d @ X3 @ I )
=> ( member_c_d_c_d @ ( F @ X3 ) @ ( X4 @ X3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(373,plain,
( ( ! [F: c > d,A: set_c,B: c > set_d,X2: c] :
( ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
=> ( ( member_c @ X2 @ A )
=> ( member_d @ ( F @ X2 ) @ ( B @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(374,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ I @ A )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uu: c > d] : ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(375,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( member_c_d @ ( prod_m854557927_d_a_e @ I @ A @ X4 ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(376,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,B: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( A @ X )
= ( B @ X ) ) )
=> ( ( prod_m854557927_d_a_e @ I @ A )
= ( prod_m854557927_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(377,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ I @ A )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uv: c > d] : ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(378,plain,
( ( ! [F: c > d,A: set_c,B: set_d,X2: c] :
( ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( member_c @ X2 @ A )
=> ( member_d @ ( F @ X2 ) @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(379,plain,
( ( ! [A: set_c_d] :
( member_c_d_c_d
@ ^ [X3: c > d] : X3
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(380,plain,
( ( ! [A: set_c,F: c > d,B: set_d] :
( ! [X: c] :
( ( member_c @ X @ A )
=> ( member_d @ ( F @ X ) @ B ) )
=> ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(381,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d,G: ( c > d ) > c > d] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(382,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d,G: ( c > d ) > ( c > d ) > c > d] :
( ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(383,plain,
( ( ! [A: set_c,F: c > d,B: c > set_d] :
( ! [X: c] :
( ( member_c @ X @ A )
=> ( member_d @ ( F @ X ) @ ( B @ X ) ) )
=> ( member_c_d @ F @ ( pi_c_d @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(384,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c,C: set_d,A2: c > d,B2: c] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] :
( pi_c_d @ B
@ ^ [Uv: c] : C ) ) )
=> ( ( member_c_d @ A2 @ A )
=> ( ( member_c @ B2 @ B )
=> ( member_d @ ( F @ A2 @ B2 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(385,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c,C: set_d,A2: c > d] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] :
( pi_c_d @ B
@ ^ [Uv: c] : C ) ) )
=> ( ( member_c_d @ A2 @ A )
=> ( member_c_d @ ( F @ A2 )
@ ( pi_c_d @ B
@ ^ [Uu: c] : C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(386,plain,
( ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uv: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ! [A3: c > d] :
( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [B3: c > d] :
( ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [C3: c > d] :
( ( member_c_d @ C3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 ) @ C3 )
= ( prod_p131511076_d_a_e @ i @ m @ A3 @ ( prod_p131511076_d_a_e @ i @ m @ B3 @ C3 ) ) ) ) ) )
& ! [A3: c > d] :
( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [B3: c > d] :
( ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 )
= ( prod_p131511076_d_a_e @ i @ m @ B3 @ A3 ) ) ) )
& ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uu: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ! [A3: c > d] :
( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ A3 ) @ A3 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
& ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
& ! [A3: c > d] :
( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ A3 )
= A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(387,plain,
( ( ! [A: set_c_d] :
( ( collect_c_d
@ ^ [X3: c > d] : ( member_c_d @ X3 @ A ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(388,plain,
( ( ! [A2: c > d,P: ( c > d ) > $o] :
( ( member_c_d @ A2 @ ( collect_c_d @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(389,plain,
( ( ! [F: ( c > d ) > c > d,I: set_c_d,X4: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ I @ X4 ) )
= ( ! [X3: c > d] :
( ( member_c_d @ X3 @ I )
=> ( member_c_d @ ( F @ X3 ) @ ( X4 @ X3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(390,plain,
( ( ! [A: set_c,F: c > d,G: c > d,B: c > set_d] :
( ! [W: c] :
( ( member_c @ W @ A )
=> ( ( F @ W )
= ( G @ W ) ) )
=> ( ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
= ( member_c_d @ G @ ( pi_c_d @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(391,plain,
( ( ! [A: set_c_d,F: ( c > d ) > c > d,G: ( c > d ) > c > d,B: ( c > d ) > set_c_d] :
( ! [W: c > d] :
( ( member_c_d @ W @ A )
=> ( ( F @ W )
= ( G @ W ) ) )
=> ( ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ A @ B ) )
= ( member_c_d_c_d @ G @ ( pi_c_d_c_d @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(392,plain,
( ( ! [A: set_c_d,F: ( c > d ) > ( c > d ) > c > d,G: ( c > d ) > ( c > d ) > c > d,B: ( c > d ) > set_c_d_c_d] :
( ! [W: c > d] :
( ( member_c_d @ W @ A )
=> ( ( F @ W )
= ( G @ W ) ) )
=> ( ( member_c_d_c_d_c_d @ F @ ( pi_c_d_c_d_c_d @ A @ B ) )
= ( member_c_d_c_d_c_d @ G @ ( pi_c_d_c_d_c_d @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(393,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( member_c_d @ ( prod_z1214987823_d_a_e @ I @ A ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(394,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d,Y: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( member_c_d @ ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(395,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,A2: c > d,B2: c > d,C2: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ A2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ B2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ C2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( prod_p131511076_d_a_e @ I @ A @ ( prod_p131511076_d_a_e @ I @ A @ A2 @ B2 ) @ C2 )
= ( prod_p131511076_d_a_e @ I @ A @ A2 @ ( prod_p131511076_d_a_e @ I @ A @ B2 @ C2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(396,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,A2: c > d,B2: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ A2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ B2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( prod_p131511076_d_a_e @ I @ A @ A2 @ B2 )
= ( prod_p131511076_d_a_e @ I @ A @ B2 @ A2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(397,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,B: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( A @ X )
= ( B @ X ) ) )
=> ( ( prod_z1214987823_d_a_e @ I @ A )
= ( prod_z1214987823_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(398,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,B: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( A @ X )
= ( B @ X ) ) )
=> ( ( prod_p131511076_d_a_e @ I @ A )
= ( prod_p131511076_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(399,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,B: c > carrie1948989069_d_a_e] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( A @ X )
= ( B @ X ) ) )
=> ( ( carr_p1636662547_d_a_e @ I @ A )
= ( carr_p1636662547_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(400,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d,Y: c > d] :
( ! [X: c] :
( ( member_c @ X @ I )
=> ( aGroup1940521469_d_a_e @ ( A @ X ) ) )
=> ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
=> ( ! [X: c] :
( ( member_c @ X @ I )
=> ( ( X4 @ X )
= ( Y @ X ) ) )
=> ( X4 = Y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(401,plain,
( ( ! [F: c > d,A: set_c,B: set_d,G: c > d,X2: c] :
( ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( F = G )
=> ( ( member_c @ X2 @ A )
=> ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(402,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d,G: ( c > d ) > c > d,X2: c > d] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( ( member_c_d @ X2 @ A )
=> ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(403,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d,G: ( c > d ) > ( c > d ) > c > d,X2: c > d] :
( ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( ( member_c_d @ X2 @ A )
=> ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(404,plain,
( ( ! [A: set_c_d,F: ( c > d ) > c > d,B: set_c_d] :
( ! [X: c > d] :
( ( member_c_d @ X @ A )
=> ( member_c_d @ ( F @ X ) @ B ) )
=> ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(405,plain,
( ( ! [F: c > d,A: set_c,B: set_d,G: c > d,A2: c] :
( ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( F = G )
=> ( ( member_c @ A2 @ A )
=> ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(406,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d,G: ( c > d ) > c > d,A2: c > d] :
( ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( ( member_c_d @ A2 @ A )
=> ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(407,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d,G: ( c > d ) > ( c > d ) > c > d,A2: c > d] :
( ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
=> ( ( F = G )
=> ( ( member_c_d @ A2 @ A )
=> ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(408,plain,
( ( ! [F: c > d,A: set_c,B: set_d,G: c > d] :
( ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
=> ( ( F = G )
=> ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(409,plain,
( ( ! [A: set_c_d,F: ( c > d ) > c > d,B: ( c > d ) > set_c_d] :
( ! [X: c > d] :
( ( member_c_d @ X @ A )
=> ( member_c_d @ ( F @ X ) @ ( B @ X ) ) )
=> ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(410,plain,
( ( ~ ( member_c_d @ sK1_A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= sK1_A4 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[360]) ).
thf(411,plain,
( ( ~ ( ~ ( member_c_d @ sK1_A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= sK1_A4 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[410]) ).
thf(412,plain,
( ( ( member_c_d @ sK1_A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
& ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= sK1_A4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[411]) ).
thf(413,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK2_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK2_X @ A @ I ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ I @ A ) @ ( carr_d56066307_d_a_e @ I @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[361]) ).
thf(414,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK3_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK3_X @ A @ I ) ) ) )
| ! [X4: c > d] :
( ~ ( member_c_d @ X4 @ ( carr_d56066307_d_a_e @ I @ A ) )
| ! [Y: c > d] :
( ~ ( member_c_d @ Y @ ( carr_d56066307_d_a_e @ I @ A ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y ) @ ( carr_d56066307_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[362]) ).
thf(415,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d] :
( ( ( member_c @ ( sK4_X @ X4 @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK4_X @ X4 @ A @ I ) ) ) )
| ~ ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [Y: c > d] :
( ~ ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [I2: c] :
( ~ ( member_c @ I2 @ I )
| ( ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y @ I2 )
= ( pop_d_261713874_d_a_e @ ( A @ I2 ) @ ( X4 @ I2 ) @ ( Y @ I2 ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[363]) ).
thf(416,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK5_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK5_X @ A @ I ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ I @ A )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ I @ A )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ I @ A )
@ ^ [Uv: c > d] : ( carr_d56066307_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[368]) ).
thf(417,plain,
( ( ! [F: c > d,A: set_c,B: c > set_d] :
( ~ ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
| ! [X2: c] :
( ( member_d @ ( F @ X2 ) @ ( B @ X2 ) )
| ~ ( member_c @ X2 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[369]) ).
thf(418,plain,
( ( ! [A: set_c,F: c > d,B: c > set_d] :
( ( ( member_c @ ( sK6_X @ B @ F @ A ) @ A )
& ~ ( member_d @ ( F @ ( sK6_X @ B @ F @ A ) ) @ ( B @ ( sK6_X @ B @ F @ A ) ) ) )
| ( member_c_d @ F @ ( pi_c_d @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[370]) ).
thf(419,plain,
( ( ! [F: c > d,A: set_c,B: c > set_d] :
( ~ ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
| ! [X2: c] :
( ~ ( member_c @ X2 @ A )
| ( member_d @ ( F @ X2 ) @ ( B @ X2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[373]) ).
thf(420,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK7_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK7_X @ A @ I ) ) ) )
| ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ I @ A )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uu: c > d] : ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[374]) ).
thf(421,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK8_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK8_X @ A @ I ) ) ) )
| ! [X4: c > d] :
( ~ ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ I @ A @ X4 ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[375]) ).
thf(422,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK10_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK10_X @ A @ I ) ) ) )
| ! [B: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK9_X @ B @ A @ I ) @ I )
& ( ( A @ ( sK9_X @ B @ A @ I ) )
!= ( B @ ( sK9_X @ B @ A @ I ) ) ) )
| ( ( prod_m854557927_d_a_e @ I @ A )
= ( prod_m854557927_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[376]) ).
thf(423,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK11_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK11_X @ A @ I ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ I @ A )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uv: c > d] : ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[377]) ).
thf(424,plain,
( ( ! [F: c > d,A: set_c,B: set_d] :
( ~ ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ! [X2: c] :
( ~ ( member_c @ X2 @ A )
| ( member_d @ ( F @ X2 ) @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[378]) ).
thf(425,plain,
( ( ! [A: set_c,F: c > d,B: set_d] :
( ( ( member_c @ ( sK12_X @ B @ F @ A ) @ A )
& ~ ( member_d @ ( F @ ( sK12_X @ B @ F @ A ) ) @ B ) )
| ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[380]) ).
thf(426,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > c > d] :
( ( F != G )
| ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[381]) ).
thf(427,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > ( c > d ) > c > d] :
( ( F != G )
| ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[382]) ).
thf(428,plain,
( ( ! [A: set_c,F: c > d,B: c > set_d] :
( ( ( member_c @ ( sK13_X @ B @ F @ A ) @ A )
& ~ ( member_d @ ( F @ ( sK13_X @ B @ F @ A ) ) @ ( B @ ( sK13_X @ B @ F @ A ) ) ) )
| ( member_c_d @ F @ ( pi_c_d @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[383]) ).
thf(429,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c,C: set_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] :
( pi_c_d @ B
@ ^ [Uv: c] : C ) ) )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ A )
| ! [B2: c] :
( ~ ( member_c @ B2 @ B )
| ( member_d @ ( F @ A2 @ B2 ) @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[384]) ).
thf(430,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c,C: set_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] :
( pi_c_d @ B
@ ^ [Uv: c] : C ) ) )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ A )
| ( member_c_d @ ( F @ A2 )
@ ( pi_c_d @ B
@ ^ [Uu: c] : C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[385]) ).
thf(431,plain,
( ( ! [A3: c > d] :
( ~ ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ A3 )
= A3 ) )
& ! [A3: c > d] :
( ~ ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ A3 ) @ A3 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
& ! [A3: c > d] :
( ~ ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [B3: c > d] :
( ~ ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 )
= ( prod_p131511076_d_a_e @ i @ m @ B3 @ A3 ) ) ) )
& ! [A3: c > d] :
( ~ ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [B3: c > d] :
( ~ ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [C3: c > d] :
( ~ ( member_c_d @ C3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 ) @ C3 )
= ( prod_p131511076_d_a_e @ i @ m @ A3 @ ( prod_p131511076_d_a_e @ i @ m @ B3 @ C3 ) ) ) ) ) )
& ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uv: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uu: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[386]) ).
thf(432,plain,
( ( ! [A: set_c,F: c > d,G: c > d] :
( ( ( member_c @ ( sK14_W @ G @ F @ A ) @ A )
& ( ( F @ ( sK14_W @ G @ F @ A ) )
!= ( G @ ( sK14_W @ G @ F @ A ) ) ) )
| ! [B: c > set_d] :
( ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
= ( member_c_d @ G @ ( pi_c_d @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[390]) ).
thf(433,plain,
( ( ! [A: set_c_d,F: ( c > d ) > c > d,G: ( c > d ) > c > d] :
( ( ( member_c_d @ ( sK15_W @ G @ F @ A ) @ A )
& ( ( F @ ( sK15_W @ G @ F @ A ) )
!= ( G @ ( sK15_W @ G @ F @ A ) ) ) )
| ! [B: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ A @ B ) )
= ( member_c_d_c_d @ G @ ( pi_c_d_c_d @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[391]) ).
thf(434,plain,
( ( ! [A: set_c_d,F: ( c > d ) > ( c > d ) > c > d,G: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d @ ( sK16_W @ G @ F @ A ) @ A )
& ( ( F @ ( sK16_W @ G @ F @ A ) )
!= ( G @ ( sK16_W @ G @ F @ A ) ) ) )
| ! [B: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ F @ ( pi_c_d_c_d_c_d @ A @ B ) )
= ( member_c_d_c_d_c_d @ G @ ( pi_c_d_c_d_c_d @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[392]) ).
thf(435,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK17_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK17_X @ A @ I ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ I @ A ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[393]) ).
thf(436,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK18_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK18_X @ A @ I ) ) ) )
| ! [X4: c > d] :
( ~ ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [Y: c > d] :
( ~ ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[394]) ).
thf(437,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,A2: c > d] :
( ( ( member_c @ ( sK19_X @ A2 @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK19_X @ A2 @ A @ I ) ) ) )
| ~ ( member_c_d @ A2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [B2: c > d] :
( ~ ( member_c_d @ B2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [C2: c > d] :
( ~ ( member_c_d @ C2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( ( prod_p131511076_d_a_e @ I @ A @ ( prod_p131511076_d_a_e @ I @ A @ A2 @ B2 ) @ C2 )
= ( prod_p131511076_d_a_e @ I @ A @ A2 @ ( prod_p131511076_d_a_e @ I @ A @ B2 @ C2 ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[395]) ).
thf(438,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK20_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK20_X @ A @ I ) ) ) )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [B2: c > d] :
( ~ ( member_c_d @ B2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( ( prod_p131511076_d_a_e @ I @ A @ A2 @ B2 )
= ( prod_p131511076_d_a_e @ I @ A @ B2 @ A2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[396]) ).
thf(439,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK22_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK22_X @ A @ I ) ) ) )
| ! [B: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK21_X @ B @ A @ I ) @ I )
& ( ( A @ ( sK21_X @ B @ A @ I ) )
!= ( B @ ( sK21_X @ B @ A @ I ) ) ) )
| ( ( prod_z1214987823_d_a_e @ I @ A )
= ( prod_z1214987823_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[397]) ).
thf(440,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK24_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK24_X @ A @ I ) ) ) )
| ! [B: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK23_X @ B @ A @ I ) @ I )
& ( ( A @ ( sK23_X @ B @ A @ I ) )
!= ( B @ ( sK23_X @ B @ A @ I ) ) ) )
| ( ( prod_p131511076_d_a_e @ I @ A )
= ( prod_p131511076_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[398]) ).
thf(441,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK26_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK26_X @ A @ I ) ) ) )
| ! [B: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK25_X @ B @ A @ I ) @ I )
& ( ( A @ ( sK25_X @ B @ A @ I ) )
!= ( B @ ( sK25_X @ B @ A @ I ) ) ) )
| ( ( carr_p1636662547_d_a_e @ I @ A )
= ( carr_p1636662547_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[399]) ).
thf(442,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK28_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK28_X @ A @ I ) ) ) )
| ! [X4: c > d] :
( ~ ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [Y: c > d] :
( ~ ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( ( member_c @ ( sK27_X @ Y @ X4 @ A @ I ) @ I )
& ( ( X4 @ ( sK27_X @ Y @ X4 @ A @ I ) )
!= ( Y @ ( sK27_X @ Y @ X4 @ A @ I ) ) ) )
| ( X4 = Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[400]) ).
thf(443,plain,
( ( ! [F: c > d,A: set_c,B: set_d] :
( ~ ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ! [G: c > d] :
( ~ ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ( F != G )
| ! [X2: c] :
( ~ ( member_c @ X2 @ A )
| ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[401]) ).
thf(444,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ( F != G )
| ! [X2: c > d] :
( ~ ( member_c_d @ X2 @ A )
| ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[402]) ).
thf(445,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ( F != G )
| ! [X2: c > d] :
( ~ ( member_c_d @ X2 @ A )
| ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[403]) ).
thf(446,plain,
( ( ! [A: set_c_d,F: ( c > d ) > c > d,B: set_c_d] :
( ( ( member_c_d @ ( sK29_X @ B @ F @ A ) @ A )
& ~ ( member_c_d @ ( F @ ( sK29_X @ B @ F @ A ) ) @ B ) )
| ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[404]) ).
thf(447,plain,
( ( ! [F: c > d,A: set_c,B: set_d] :
( ~ ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ! [G: c > d] :
( ~ ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ( F != G )
| ! [A2: c] :
( ~ ( member_c @ A2 @ A )
| ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[405]) ).
thf(448,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ( F != G )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ A )
| ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[406]) ).
thf(449,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ( F != G )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ A )
| ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[407]) ).
thf(450,plain,
( ( ! [F: c > d,A: set_c,B: set_d] :
( ~ ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ! [G: c > d] :
( ( F != G )
| ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[408]) ).
thf(451,plain,
( ( ! [A: set_c_d,F: ( c > d ) > c > d,B: ( c > d ) > set_c_d] :
( ( ( member_c_d @ ( sK30_X @ B @ F @ A ) @ A )
& ~ ( member_c_d @ ( F @ ( sK30_X @ B @ F @ A ) ) @ ( B @ ( sK30_X @ B @ F @ A ) ) ) )
| ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[409]) ).
thf(452,plain,
( ( ! [A: set_c_d,F: ( c > d ) > c > d,B: ( c > d ) > set_c_d] :
( ( ( member_c_d @ ( sK30_X @ B @ F @ A ) @ A )
& ~ ( member_c_d @ ( F @ ( sK30_X @ B @ F @ A ) ) @ ( B @ ( sK30_X @ B @ F @ A ) ) ) )
| ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(453,plain,
( ( ! [F: c > d,A: set_c,B: set_d] :
( ~ ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ! [G: c > d] :
( ( F != G )
| ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(454,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ( F != G )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ A )
| ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(455,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ( F != G )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ A )
| ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(456,plain,
( ( ! [F: c > d,A: set_c,B: set_d] :
( ~ ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ! [G: c > d] :
( ~ ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ( F != G )
| ! [A2: c] :
( ~ ( member_c @ A2 @ A )
| ( ( F @ A2 )
= ( G @ A2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(457,plain,
( ( ! [A: set_c_d,F: ( c > d ) > c > d,B: set_c_d] :
( ( ( member_c_d @ ( sK29_X @ B @ F @ A ) @ A )
& ~ ( member_c_d @ ( F @ ( sK29_X @ B @ F @ A ) ) @ B ) )
| ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(458,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ( F != G )
| ! [X2: c > d] :
( ~ ( member_c_d @ X2 @ A )
| ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(459,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ( F != G )
| ! [X2: c > d] :
( ~ ( member_c_d @ X2 @ A )
| ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(460,plain,
( ( ! [F: c > d,A: set_c,B: set_d] :
( ~ ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ! [G: c > d] :
( ~ ( member_c_d @ G
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ( F != G )
| ! [X2: c] :
( ~ ( member_c @ X2 @ A )
| ( ( F @ X2 )
= ( G @ X2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(461,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK28_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK28_X @ A @ I ) ) ) )
| ! [X4: c > d] :
( ~ ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [Y: c > d] :
( ~ ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( ( member_c @ ( sK27_X @ Y @ X4 @ A @ I ) @ I )
& ( ( X4 @ ( sK27_X @ Y @ X4 @ A @ I ) )
!= ( Y @ ( sK27_X @ Y @ X4 @ A @ I ) ) ) )
| ( X4 = Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(462,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK26_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK26_X @ A @ I ) ) ) )
| ! [B: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK25_X @ B @ A @ I ) @ I )
& ( ( A @ ( sK25_X @ B @ A @ I ) )
!= ( B @ ( sK25_X @ B @ A @ I ) ) ) )
| ( ( carr_p1636662547_d_a_e @ I @ A )
= ( carr_p1636662547_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(463,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK24_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK24_X @ A @ I ) ) ) )
| ! [B: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK23_X @ B @ A @ I ) @ I )
& ( ( A @ ( sK23_X @ B @ A @ I ) )
!= ( B @ ( sK23_X @ B @ A @ I ) ) ) )
| ( ( prod_p131511076_d_a_e @ I @ A )
= ( prod_p131511076_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(464,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK22_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK22_X @ A @ I ) ) ) )
| ! [B: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK21_X @ B @ A @ I ) @ I )
& ( ( A @ ( sK21_X @ B @ A @ I ) )
!= ( B @ ( sK21_X @ B @ A @ I ) ) ) )
| ( ( prod_z1214987823_d_a_e @ I @ A )
= ( prod_z1214987823_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(465,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK20_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK20_X @ A @ I ) ) ) )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [B2: c > d] :
( ~ ( member_c_d @ B2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( ( prod_p131511076_d_a_e @ I @ A @ A2 @ B2 )
= ( prod_p131511076_d_a_e @ I @ A @ B2 @ A2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(466,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,A2: c > d] :
( ( ( member_c @ ( sK19_X @ A2 @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK19_X @ A2 @ A @ I ) ) ) )
| ~ ( member_c_d @ A2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [B2: c > d] :
( ~ ( member_c_d @ B2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [C2: c > d] :
( ~ ( member_c_d @ C2 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( ( prod_p131511076_d_a_e @ I @ A @ ( prod_p131511076_d_a_e @ I @ A @ A2 @ B2 ) @ C2 )
= ( prod_p131511076_d_a_e @ I @ A @ A2 @ ( prod_p131511076_d_a_e @ I @ A @ B2 @ C2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(467,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK18_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK18_X @ A @ I ) ) ) )
| ! [X4: c > d] :
( ~ ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [Y: c > d] :
( ~ ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(468,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK17_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK17_X @ A @ I ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ I @ A ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(469,plain,
( ( ! [A: set_c_d,F: ( c > d ) > ( c > d ) > c > d,G: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d @ ( sK16_W @ G @ F @ A ) @ A )
& ( ( F @ ( sK16_W @ G @ F @ A ) )
!= ( G @ ( sK16_W @ G @ F @ A ) ) ) )
| ! [B: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ F @ ( pi_c_d_c_d_c_d @ A @ B ) )
= ( member_c_d_c_d_c_d @ G @ ( pi_c_d_c_d_c_d @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(470,plain,
( ( ! [A: set_c_d,F: ( c > d ) > c > d,G: ( c > d ) > c > d] :
( ( ( member_c_d @ ( sK15_W @ G @ F @ A ) @ A )
& ( ( F @ ( sK15_W @ G @ F @ A ) )
!= ( G @ ( sK15_W @ G @ F @ A ) ) ) )
| ! [B: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ A @ B ) )
= ( member_c_d_c_d @ G @ ( pi_c_d_c_d @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(471,plain,
( ( ! [A: set_c,F: c > d,G: c > d] :
( ( ( member_c @ ( sK14_W @ G @ F @ A ) @ A )
& ( ( F @ ( sK14_W @ G @ F @ A ) )
!= ( G @ ( sK14_W @ G @ F @ A ) ) ) )
| ! [B: c > set_d] :
( ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
= ( member_c_d @ G @ ( pi_c_d @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(472,plain,
( ( ! [F: ( c > d ) > c > d,I: set_c_d,X4: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ F @ ( pi_c_d_c_d @ I @ X4 ) )
= ( ! [X3: c > d] :
( ( member_c_d @ X3 @ I )
=> ( member_c_d @ ( F @ X3 ) @ ( X4 @ X3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(473,plain,
( ( ! [A2: c > d,P: ( c > d ) > $o] :
( ( member_c_d @ A2 @ ( collect_c_d @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(474,plain,
( ( ! [A: set_c_d] :
( ( collect_c_d
@ ^ [X3: c > d] : ( member_c_d @ X3 @ A ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(475,plain,
( ( ! [A3: c > d] :
( ~ ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ A3 )
= A3 ) )
& ! [A3: c > d] :
( ~ ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ A3 ) @ A3 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
& ! [A3: c > d] :
( ~ ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [B3: c > d] :
( ~ ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 )
= ( prod_p131511076_d_a_e @ i @ m @ B3 @ A3 ) ) ) )
& ! [A3: c > d] :
( ~ ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [B3: c > d] :
( ~ ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [C3: c > d] :
( ~ ( member_c_d @ C3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 ) @ C3 )
= ( prod_p131511076_d_a_e @ i @ m @ A3 @ ( prod_p131511076_d_a_e @ i @ m @ B3 @ C3 ) ) ) ) ) )
& ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uv: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Uu: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(476,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c,C: set_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] :
( pi_c_d @ B
@ ^ [Uv: c] : C ) ) )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ A )
| ( member_c_d @ ( F @ A2 )
@ ( pi_c_d @ B
@ ^ [Uu: c] : C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(477,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c,C: set_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] :
( pi_c_d @ B
@ ^ [Uv: c] : C ) ) )
| ! [A2: c > d] :
( ~ ( member_c_d @ A2 @ A )
| ! [B2: c] :
( ~ ( member_c @ B2 @ B )
| ( member_d @ ( F @ A2 @ B2 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(478,plain,
( ( ! [A: set_c,F: c > d,B: c > set_d] :
( ( ( member_c @ ( sK13_X @ B @ F @ A ) @ A )
& ~ ( member_d @ ( F @ ( sK13_X @ B @ F @ A ) ) @ ( B @ ( sK13_X @ B @ F @ A ) ) ) )
| ( member_c_d @ F @ ( pi_c_d @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(479,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,A: set_c_d,B: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ F
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > ( c > d ) > c > d] :
( ( F != G )
| ( member_c_d_c_d_c_d @ G
@ ( pi_c_d_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(480,plain,
( ( ! [F: ( c > d ) > c > d,A: set_c_d,B: set_c_d] :
( ~ ( member_c_d_c_d @ F
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) )
| ! [G: ( c > d ) > c > d] :
( ( F != G )
| ( member_c_d_c_d @ G
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(481,plain,
( ( ! [A: set_c,F: c > d,B: set_d] :
( ( ( member_c @ ( sK12_X @ B @ F @ A ) @ A )
& ~ ( member_d @ ( F @ ( sK12_X @ B @ F @ A ) ) @ B ) )
| ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(482,plain,
( ( ! [A: set_c_d] :
( member_c_d_c_d
@ ^ [X3: c > d] : X3
@ ( pi_c_d_c_d @ A
@ ^ [Uu: c > d] : A ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(483,plain,
( ( ! [F: c > d,A: set_c,B: set_d] :
( ~ ( member_c_d @ F
@ ( pi_c_d @ A
@ ^ [Uu: c] : B ) )
| ! [X2: c] :
( ~ ( member_c @ X2 @ A )
| ( member_d @ ( F @ X2 ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(484,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK11_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK11_X @ A @ I ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ I @ A )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uv: c > d] : ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(485,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK10_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK10_X @ A @ I ) ) ) )
| ! [B: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK9_X @ B @ A @ I ) @ I )
& ( ( A @ ( sK9_X @ B @ A @ I ) )
!= ( B @ ( sK9_X @ B @ A @ I ) ) ) )
| ( ( prod_m854557927_d_a_e @ I @ A )
= ( prod_m854557927_d_a_e @ I @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(486,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK8_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK8_X @ A @ I ) ) ) )
| ! [X4: c > d] :
( ~ ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ I @ A @ X4 ) @ ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(487,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK7_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK7_X @ A @ I ) ) ) )
| ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ I @ A )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ I @ A )
@ ^ [Uu: c > d] : ( carr_p1636662547_d_a_e @ I @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(488,plain,
( ( ! [F: c > d,A: set_c,B: c > set_d] :
( ~ ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
| ! [X2: c] :
( ~ ( member_c @ X2 @ A )
| ( member_d @ ( F @ X2 ) @ ( B @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(489,plain,
( ( ! [F: ( c > d ) > ( c > d ) > c > d,I: set_c_d,X4: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ F @ ( pi_c_d_c_d_c_d @ I @ X4 ) )
= ( ! [X3: c > d] :
( ( member_c_d @ X3 @ I )
=> ( member_c_d_c_d @ ( F @ X3 ) @ ( X4 @ X3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(490,plain,
( ( ! [F: c > d,I: set_c,X4: c > set_d] :
( ( member_c_d @ F @ ( pi_c_d @ I @ X4 ) )
= ( ! [X3: c] :
( ( member_c @ X3 @ I )
=> ( member_d @ ( F @ X3 ) @ ( X4 @ X3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(491,plain,
( ( ! [A: set_c,F: c > d,B: c > set_d] :
( ( ( member_c @ ( sK6_X @ B @ F @ A ) @ A )
& ~ ( member_d @ ( F @ ( sK6_X @ B @ F @ A ) ) @ ( B @ ( sK6_X @ B @ F @ A ) ) ) )
| ( member_c_d @ F @ ( pi_c_d @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(492,plain,
( ( ! [F: c > d,A: set_c,B: c > set_d] :
( ~ ( member_c_d @ F @ ( pi_c_d @ A @ B ) )
| ! [X2: c] :
( ( member_d @ ( F @ X2 ) @ ( B @ X2 ) )
| ~ ( member_c @ X2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(493,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK5_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK5_X @ A @ I ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ I @ A )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ I @ A )
@ ^ [Uu: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ I @ A )
@ ^ [Uv: c > d] : ( carr_d56066307_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(494,plain,
( ( ! [A2: c,P: c > $o] :
( ( member_c @ A2 @ ( collect_c @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(495,plain,
( ( ! [A2: ( c > d ) > c > d,P: ( ( c > d ) > c > d ) > $o] :
( ( member_c_d_c_d @ A2 @ ( collect_c_d_c_d @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(496,plain,
( ( ! [A: set_c] :
( ( collect_c
@ ^ [X3: c] : ( member_c @ X3 @ A ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(497,plain,
( ( ! [A: set_c_d_c_d] :
( ( collect_c_d_c_d
@ ^ [X3: ( c > d ) > c > d] : ( member_c_d_c_d @ X3 @ A ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(498,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e,X4: c > d] :
( ( ( member_c @ ( sK4_X @ X4 @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK4_X @ X4 @ A @ I ) ) ) )
| ~ ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [Y: c > d] :
( ~ ( member_c_d @ Y @ ( carr_p1636662547_d_a_e @ I @ A ) )
| ! [I2: c] :
( ~ ( member_c @ I2 @ I )
| ( ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y @ I2 )
= ( pop_d_261713874_d_a_e @ ( A @ I2 ) @ ( X4 @ I2 ) @ ( Y @ I2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(499,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK3_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK3_X @ A @ I ) ) ) )
| ! [X4: c > d] :
( ~ ( member_c_d @ X4 @ ( carr_d56066307_d_a_e @ I @ A ) )
| ! [Y: c > d] :
( ~ ( member_c_d @ Y @ ( carr_d56066307_d_a_e @ I @ A ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ I @ A @ X4 @ Y ) @ ( carr_d56066307_d_a_e @ I @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(500,plain,
( ( ! [I: set_c,A: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK2_X @ A @ I ) @ I )
& ~ ( aGroup1940521469_d_a_e @ ( A @ ( sK2_X @ A @ I ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ I @ A ) @ ( carr_d56066307_d_a_e @ I @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(501,plain,
( ( ( member_c_d @ sK1_A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
& ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= sK1_A4 ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(502,plain,
( ( ! [SX0: set_c_d,SX1: ( c > d ) > ( c > d ) > c > d,SX2: ( c > d ) > ( c > d ) > c > d] :
( ~ ( ~ ( member_c_d @ ( sK16_W @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ( ( SX1 @ ( sK16_W @ SX2 @ SX1 @ SX0 ) )
!= ( SX2 @ ( sK16_W @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ! [SX3: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SX1 @ ( pi_c_d_c_d_c_d @ SX0 @ SX3 ) )
= ( member_c_d_c_d_c_d @ SX2 @ ( pi_c_d_c_d_c_d @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(503,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK8_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK8_X @ SX1 @ SX0 ) ) ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SX0 @ SX1 @ SX2 ) @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(504,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK26_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK26_X @ SX1 @ SX0 ) ) ) )
| ! [SX2: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ( ( SX1 @ ( sK25_X @ SX2 @ SX1 @ SX0 ) )
!= ( SX2 @ ( sK25_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SX0 @ SX1 )
= ( carr_p1636662547_d_a_e @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(505,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK17_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK17_X @ SX1 @ SX0 ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ SX0 @ SX1 ) @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(506,plain,
( ( ! [SX0: set_c,SX1: c > d,SX2: c > d] :
( ~ ( ~ ( member_c @ ( sK14_W @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ( ( SX1 @ ( sK14_W @ SX2 @ SX1 @ SX0 ) )
!= ( SX2 @ ( sK14_W @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ! [SX3: c > set_d] :
( ( member_c_d @ SX1 @ ( pi_c_d @ SX0 @ SX3 ) )
= ( member_c_d @ SX2 @ ( pi_c_d @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(507,plain,
( ( ! [SX0: ( c > d ) > c > d,SX1: set_c_d,SX2: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SX0 @ ( pi_c_d_c_d @ SX1 @ SX2 ) )
= ( ! [SX3: c > d] :
( ~ ( member_c_d @ SX3 @ SX1 )
| ( member_c_d @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(508,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK18_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK18_X @ SX1 @ SX0 ) ) ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ! [SX3: c > d] :
( ~ ( member_c_d @ SX3 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(509,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e,SX2: c > d] :
( ~ ( ~ ( member_c @ ( sK19_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK19_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ! [SX3: c > d] :
( ~ ( member_c_d @ SX3 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ! [SX4: c > d] :
( ~ ( member_c_d @ SX4 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ( ( prod_p131511076_d_a_e @ SX0 @ SX1 @ ( prod_p131511076_d_a_e @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX4 )
= ( prod_p131511076_d_a_e @ SX0 @ SX1 @ SX2 @ ( prod_p131511076_d_a_e @ SX0 @ SX1 @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(510,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK2_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK2_X @ SX1 @ SX0 ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ SX0 @ SX1 ) @ ( carr_d56066307_d_a_e @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(511,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK5_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK5_X @ SX1 @ SX0 ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SX0 @ SX1 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SX0 @ SX1 )
@ ^ [SX2: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SX0 @ SX1 )
@ ^ [SX3: c > d] : ( carr_d56066307_d_a_e @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[493]) ).
thf(512,plain,
( ( ~ ( ~ ( member_c_d @ sK1_A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ~ ( ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= sK1_A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(513,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK24_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK24_X @ SX1 @ SX0 ) ) ) )
| ! [SX2: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ( ( SX1 @ ( sK23_X @ SX2 @ SX1 @ SX0 ) )
!= ( SX2 @ ( sK23_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(514,plain,
( ( ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SX0 )
= SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
| ~ ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(515,plain,
( ( ! [SX0: ( c > d ) > ( c > d ) > c > d,SX1: set_c_d,SX2: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SX0 @ ( pi_c_d_c_d_c_d @ SX1 @ SX2 ) )
= ( ! [SX3: c > d] :
( ~ ( member_c_d @ SX3 @ SX1 )
| ( member_c_d_c_d @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[489]) ).
thf(516,plain,
( ( ! [SX0: set_c,SX1: c > d,SX2: set_d] :
( ~ ( ~ ( member_c @ ( sK12_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member_d @ ( SX1 @ ( sK12_X @ SX2 @ SX1 @ SX0 ) ) @ SX2 ) )
| ( member_c_d @ SX1
@ ( pi_c_d @ SX0
@ ^ [SX3: c] : SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(517,plain,
( ( ! [SX0: set_c,SX1: c > d,SX2: c > set_d] :
( ~ ( ~ ( member_c @ ( sK13_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member_d @ ( SX1 @ ( sK13_X @ SX2 @ SX1 @ SX0 ) ) @ ( SX2 @ ( sK13_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ( member_c_d @ SX1 @ ( pi_c_d @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(518,plain,
( ( ! [SX0: set_c_d,SX1: ( c > d ) > c > d,SX2: ( c > d ) > set_c_d] :
( ~ ( ~ ( member_c_d @ ( sK30_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member_c_d @ ( SX1 @ ( sK30_X @ SX2 @ SX1 @ SX0 ) ) @ ( SX2 @ ( sK30_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ( member_c_d_c_d @ SX1 @ ( pi_c_d_c_d @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(519,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK22_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK22_X @ SX1 @ SX0 ) ) ) )
| ! [SX2: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ( ( SX1 @ ( sK21_X @ SX2 @ SX1 @ SX0 ) )
!= ( SX2 @ ( sK21_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SX0 @ SX1 )
= ( prod_z1214987823_d_a_e @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(520,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK28_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK28_X @ SX1 @ SX0 ) ) ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ! [SX3: c > d] :
( ~ ( member_c_d @ SX3 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ( ( SX2 @ ( sK27_X @ SX3 @ SX2 @ SX1 @ SX0 ) )
!= ( SX3 @ ( sK27_X @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( SX2 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(521,plain,
( ( ! [SX0: set_c_d,SX1: ( c > d ) > c > d,SX2: set_c_d] :
( ~ ( ~ ( member_c_d @ ( sK29_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member_c_d @ ( SX1 @ ( sK29_X @ SX2 @ SX1 @ SX0 ) ) @ SX2 ) )
| ( member_c_d_c_d @ SX1
@ ( pi_c_d_c_d @ SX0
@ ^ [SX3: c > d] : SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(522,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK10_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK10_X @ SX1 @ SX0 ) ) ) )
| ! [SX2: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ( ( SX1 @ ( sK9_X @ SX2 @ SX1 @ SX0 ) )
!= ( SX2 @ ( sK9_X @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SX0 @ SX1 )
= ( prod_m854557927_d_a_e @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(523,plain,
( ( ! [SX0: set_c_d,SX1: ( c > d ) > c > d,SX2: ( c > d ) > c > d] :
( ~ ( ~ ( member_c_d @ ( sK15_W @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ( ( SX1 @ ( sK15_W @ SX2 @ SX1 @ SX0 ) )
!= ( SX2 @ ( sK15_W @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ! [SX3: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SX1 @ ( pi_c_d_c_d @ SX0 @ SX3 ) )
= ( member_c_d_c_d @ SX2 @ ( pi_c_d_c_d @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(524,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK7_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK7_X @ SX1 @ SX0 ) ) ) )
| ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SX0 @ SX1 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 )
@ ^ [SX2: c > d] : ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(525,plain,
( ( ! [SX0: set_c,SX1: c > d,SX2: c > set_d] :
( ~ ( ~ ( member_c @ ( sK6_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member_d @ ( SX1 @ ( sK6_X @ SX2 @ SX1 @ SX0 ) ) @ ( SX2 @ ( sK6_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ( member_c_d @ SX1 @ ( pi_c_d @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(526,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e,SX2: c > d] :
( ~ ( ~ ( member_c @ ( sK4_X @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK4_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ! [SX3: c > d] :
( ~ ( member_c_d @ SX3 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ! [SX4: c] :
( ~ ( member_c @ SX4 @ SX0 )
| ( ( prod_p131511076_d_a_e @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
= ( pop_d_261713874_d_a_e @ ( SX1 @ SX4 ) @ ( SX2 @ SX4 ) @ ( SX3 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(527,plain,
( ( ! [SX0: c > d,SX1: set_c,SX2: c > set_d] :
( ( member_c_d @ SX0 @ ( pi_c_d @ SX1 @ SX2 ) )
= ( ! [SX3: c] :
( ~ ( member_c @ SX3 @ SX1 )
| ( member_d @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[490]) ).
thf(528,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK3_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK3_X @ SX1 @ SX0 ) ) ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_d56066307_d_a_e @ SX0 @ SX1 ) )
| ! [SX3: c > d] :
( ~ ( member_c_d @ SX3 @ ( carr_d56066307_d_a_e @ SX0 @ SX1 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( carr_d56066307_d_a_e @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[499]) ).
thf(529,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK11_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK11_X @ SX1 @ SX0 ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SX0 @ SX1 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 )
@ ^ [SX2: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 )
@ ^ [SX3: c > d] : ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(530,plain,
( ( ! [SX0: set_c,SX1: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK20_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SX1 @ ( sK20_X @ SX1 @ SX0 ) ) ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ! [SX3: c > d] :
( ~ ( member_c_d @ SX3 @ ( carr_p1636662547_d_a_e @ SX0 @ SX1 ) )
| ( ( prod_p131511076_d_a_e @ SX0 @ SX1 @ SX2 @ SX3 )
= ( prod_p131511076_d_a_e @ SX0 @ SX1 @ SX3 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(531,plain,
! [SV1: c > d] :
( ( ! [SY241: set_c,SY242: set_d] :
( ~ ( member_c_d @ SV1
@ ( pi_c_d @ SY241
@ ^ [Uu: c] : SY242 ) )
| ! [SY244: c > d] :
( ( SV1 != SY244 )
| ( member_c_d @ SY244
@ ( pi_c_d @ SY241
@ ^ [Uu: c] : SY242 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(532,plain,
! [SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ! [SY246: set_c_d,SY247: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SY246
@ ^ [Uu: c > d] : SY247 ) )
| ! [SY249: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY249
@ ( pi_c_d_c_d_c_d @ SY246
@ ^ [Uu: c > d] : SY247 ) )
| ( SV2 != SY249 )
| ! [SY251: c > d] :
( ~ ( member_c_d @ SY251 @ SY246 )
| ( ( SV2 @ SY251 )
= ( SY249 @ SY251 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(533,plain,
! [SV3: ( c > d ) > c > d] :
( ( ! [SY252: set_c_d,SY253: set_c_d] :
( ~ ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SY252
@ ^ [Uu: c > d] : SY253 ) )
| ! [SY255: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY255
@ ( pi_c_d_c_d @ SY252
@ ^ [Uu: c > d] : SY253 ) )
| ( SV3 != SY255 )
| ! [SY257: c > d] :
( ~ ( member_c_d @ SY257 @ SY252 )
| ( ( SV3 @ SY257 )
= ( SY255 @ SY257 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(534,plain,
! [SV4: c > d] :
( ( ! [SY258: set_c,SY259: set_d] :
( ~ ( member_c_d @ SV4
@ ( pi_c_d @ SY258
@ ^ [Uu: c] : SY259 ) )
| ! [SY261: c > d] :
( ~ ( member_c_d @ SY261
@ ( pi_c_d @ SY258
@ ^ [Uu: c] : SY259 ) )
| ( SV4 != SY261 )
| ! [SY263: c] :
( ~ ( member_c @ SY263 @ SY258 )
| ( ( SV4 @ SY263 )
= ( SY261 @ SY263 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(535,plain,
! [SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ! [SY264: set_c_d,SY265: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SY264
@ ^ [Uu: c > d] : SY265 ) )
| ! [SY267: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY267
@ ( pi_c_d_c_d_c_d @ SY264
@ ^ [Uu: c > d] : SY265 ) )
| ( SV5 != SY267 )
| ! [SY269: c > d] :
( ~ ( member_c_d @ SY269 @ SY264 )
| ( ( SV5 @ SY269 )
= ( SY267 @ SY269 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(536,plain,
! [SV6: ( c > d ) > c > d] :
( ( ! [SY270: set_c_d,SY271: set_c_d] :
( ~ ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SY270
@ ^ [Uu: c > d] : SY271 ) )
| ! [SY273: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY273
@ ( pi_c_d_c_d @ SY270
@ ^ [Uu: c > d] : SY271 ) )
| ( SV6 != SY273 )
| ! [SY275: c > d] :
( ~ ( member_c_d @ SY275 @ SY270 )
| ( ( SV6 @ SY275 )
= ( SY273 @ SY275 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(537,plain,
! [SV7: c > d] :
( ( ! [SY276: set_c,SY277: set_d] :
( ~ ( member_c_d @ SV7
@ ( pi_c_d @ SY276
@ ^ [Uu: c] : SY277 ) )
| ! [SY279: c > d] :
( ~ ( member_c_d @ SY279
@ ( pi_c_d @ SY276
@ ^ [Uu: c] : SY277 ) )
| ( SV7 != SY279 )
| ! [SY281: c] :
( ~ ( member_c @ SY281 @ SY276 )
| ( ( SV7 @ SY281 )
= ( SY279 @ SY281 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(538,plain,
! [SV8: c > d] :
( ( ! [SY282: ( c > d ) > $o] :
( ( member_c_d @ SV8 @ ( collect_c_d @ SY282 ) )
= ( SY282 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(539,plain,
! [SV9: set_c_d] :
( ( ( collect_c_d
@ ^ [SY283: c > d] : ( member_c_d @ SY283 @ SV9 ) )
= SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(540,plain,
! [SV10: ( c > d ) > c > d] :
( ( ! [SY284: set_c_d,SY285: set_c,SY286: set_d] :
( ~ ( member_c_d_c_d @ SV10
@ ( pi_c_d_c_d @ SY284
@ ^ [Uu: c > d] :
( pi_c_d @ SY285
@ ^ [Uv: c] : SY286 ) ) )
| ! [SY289: c > d] :
( ~ ( member_c_d @ SY289 @ SY284 )
| ( member_c_d @ ( SV10 @ SY289 )
@ ( pi_c_d @ SY285
@ ^ [Uu: c] : SY286 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(541,plain,
! [SV11: ( c > d ) > c > d] :
( ( ! [SY291: set_c_d,SY292: set_c,SY293: set_d] :
( ~ ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SY291
@ ^ [Uu: c > d] :
( pi_c_d @ SY292
@ ^ [Uv: c] : SY293 ) ) )
| ! [SY296: c > d] :
( ~ ( member_c_d @ SY296 @ SY291 )
| ! [SY297: c] :
( ~ ( member_c @ SY297 @ SY292 )
| ( member_d @ ( SV11 @ SY296 @ SY297 ) @ SY293 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(542,plain,
! [SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ! [SY298: set_c_d,SY299: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SY298
@ ^ [Uu: c > d] : SY299 ) )
| ! [SY301: ( c > d ) > ( c > d ) > c > d] :
( ( SV12 != SY301 )
| ( member_c_d_c_d_c_d @ SY301
@ ( pi_c_d_c_d_c_d @ SY298
@ ^ [Uu: c > d] : SY299 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(543,plain,
! [SV13: ( c > d ) > c > d] :
( ( ! [SY303: set_c_d,SY304: set_c_d] :
( ~ ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SY303
@ ^ [Uu: c > d] : SY304 ) )
| ! [SY306: ( c > d ) > c > d] :
( ( SV13 != SY306 )
| ( member_c_d_c_d @ SY306
@ ( pi_c_d_c_d @ SY303
@ ^ [Uu: c > d] : SY304 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(544,plain,
! [SV14: set_c_d] :
( ( member_c_d_c_d
@ ^ [X3: c > d] : X3
@ ( pi_c_d_c_d @ SV14
@ ^ [SY309: c > d] : SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(545,plain,
! [SV15: c > d] :
( ( ! [SY310: set_c,SY311: set_d] :
( ~ ( member_c_d @ SV15
@ ( pi_c_d @ SY310
@ ^ [Uu: c] : SY311 ) )
| ! [SY313: c] :
( ~ ( member_c @ SY313 @ SY310 )
| ( member_d @ ( SV15 @ SY313 ) @ SY311 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(546,plain,
! [SV16: c > d] :
( ( ! [SY314: set_c,SY315: c > set_d] :
( ~ ( member_c_d @ SV16 @ ( pi_c_d @ SY314 @ SY315 ) )
| ! [SY316: c] :
( ~ ( member_c @ SY316 @ SY314 )
| ( member_d @ ( SV16 @ SY316 ) @ ( SY315 @ SY316 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(547,plain,
! [SV17: c > d] :
( ( ! [SY317: set_c,SY318: c > set_d] :
( ~ ( member_c_d @ SV17 @ ( pi_c_d @ SY317 @ SY318 ) )
| ! [SY319: c] :
( ( member_d @ ( SV17 @ SY319 ) @ ( SY318 @ SY319 ) )
| ~ ( member_c @ SY319 @ SY317 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(548,plain,
! [SV18: c] :
( ( ! [SY320: c > $o] :
( ( member_c @ SV18 @ ( collect_c @ SY320 ) )
= ( SY320 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(549,plain,
! [SV19: ( c > d ) > c > d] :
( ( ! [SY321: ( ( c > d ) > c > d ) > $o] :
( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SY321 ) )
= ( SY321 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(550,plain,
! [SV20: set_c] :
( ( ( collect_c
@ ^ [SY322: c] : ( member_c @ SY322 @ SV20 ) )
= SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(551,plain,
! [SV21: set_c_d_c_d] :
( ( ( collect_c_d_c_d
@ ^ [SY323: ( c > d ) > c > d] : ( member_c_d_c_d @ SY323 @ SV21 ) )
= SV21 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(552,plain,
! [SV22: set_c_d] :
( ( ! [SY324: ( c > d ) > ( c > d ) > c > d,SY325: ( c > d ) > ( c > d ) > c > d] :
( ~ ( ~ ( member_c_d @ ( sK16_W @ SY325 @ SY324 @ SV22 ) @ SV22 )
| ~ ( ( ( SY324 @ ( sK16_W @ SY325 @ SY324 @ SV22 ) )
!= ( SY325 @ ( sK16_W @ SY325 @ SY324 @ SV22 ) ) ) ) )
| ! [SY326: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SY324 @ ( pi_c_d_c_d_c_d @ SV22 @ SY326 ) )
= ( member_c_d_c_d_c_d @ SY325 @ ( pi_c_d_c_d_c_d @ SV22 @ SY326 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(553,plain,
! [SV23: set_c] :
( ( ! [SY327: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK8_X @ SY327 @ SV23 ) @ SV23 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY327 @ ( sK8_X @ SY327 @ SV23 ) ) ) )
| ! [SY328: c > d] :
( ~ ( member_c_d @ SY328 @ ( carr_p1636662547_d_a_e @ SV23 @ SY327 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SY327 @ SY328 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SY327 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(554,plain,
! [SV24: set_c] :
( ( ! [SY329: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK26_X @ SY329 @ SV24 ) @ SV24 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY329 @ ( sK26_X @ SY329 @ SV24 ) ) ) )
| ! [SY330: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SY330 @ SY329 @ SV24 ) @ SV24 )
| ~ ( ( ( SY329 @ ( sK25_X @ SY330 @ SY329 @ SV24 ) )
!= ( SY330 @ ( sK25_X @ SY330 @ SY329 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SY329 )
= ( carr_p1636662547_d_a_e @ SV24 @ SY330 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(555,plain,
! [SV25: set_c] :
( ( ! [SY331: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK17_X @ SY331 @ SV25 ) @ SV25 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY331 @ ( sK17_X @ SY331 @ SV25 ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ SV25 @ SY331 ) @ ( carr_p1636662547_d_a_e @ SV25 @ SY331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(556,plain,
! [SV26: set_c] :
( ( ! [SY332: c > d,SY333: c > d] :
( ~ ( ~ ( member_c @ ( sK14_W @ SY333 @ SY332 @ SV26 ) @ SV26 )
| ~ ( ( ( SY332 @ ( sK14_W @ SY333 @ SY332 @ SV26 ) )
!= ( SY333 @ ( sK14_W @ SY333 @ SY332 @ SV26 ) ) ) ) )
| ! [SY334: c > set_d] :
( ( member_c_d @ SY332 @ ( pi_c_d @ SV26 @ SY334 ) )
= ( member_c_d @ SY333 @ ( pi_c_d @ SV26 @ SY334 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(557,plain,
! [SV27: ( c > d ) > c > d] :
( ( ! [SY335: set_c_d,SY336: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SY335 @ SY336 ) )
= ( ! [SY337: c > d] :
( ~ ( member_c_d @ SY337 @ SY335 )
| ( member_c_d @ ( SV27 @ SY337 ) @ ( SY336 @ SY337 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(558,plain,
! [SV28: set_c] :
( ( ! [SY338: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK18_X @ SY338 @ SV28 ) @ SV28 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY338 @ ( sK18_X @ SY338 @ SV28 ) ) ) )
| ! [SY339: c > d] :
( ~ ( member_c_d @ SY339 @ ( carr_p1636662547_d_a_e @ SV28 @ SY338 ) )
| ! [SY340: c > d] :
( ~ ( member_c_d @ SY340 @ ( carr_p1636662547_d_a_e @ SV28 @ SY338 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SY338 @ SY339 @ SY340 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SY338 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(559,plain,
! [SV29: set_c] :
( ( ! [SY341: c > carrie1948989069_d_a_e,SY342: c > d] :
( ~ ( ~ ( member_c @ ( sK19_X @ SY342 @ SY341 @ SV29 ) @ SV29 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY341 @ ( sK19_X @ SY342 @ SY341 @ SV29 ) ) ) )
| ~ ( member_c_d @ SY342 @ ( carr_p1636662547_d_a_e @ SV29 @ SY341 ) )
| ! [SY343: c > d] :
( ~ ( member_c_d @ SY343 @ ( carr_p1636662547_d_a_e @ SV29 @ SY341 ) )
| ! [SY344: c > d] :
( ~ ( member_c_d @ SY344 @ ( carr_p1636662547_d_a_e @ SV29 @ SY341 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SY341 @ ( prod_p131511076_d_a_e @ SV29 @ SY341 @ SY342 @ SY343 ) @ SY344 )
= ( prod_p131511076_d_a_e @ SV29 @ SY341 @ SY342 @ ( prod_p131511076_d_a_e @ SV29 @ SY341 @ SY343 @ SY344 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(560,plain,
! [SV30: set_c] :
( ( ! [SY345: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK2_X @ SY345 @ SV30 ) @ SV30 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY345 @ ( sK2_X @ SY345 @ SV30 ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ SV30 @ SY345 ) @ ( carr_d56066307_d_a_e @ SV30 @ SY345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(561,plain,
! [SV31: set_c] :
( ( ! [SY346: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK5_X @ SY346 @ SV31 ) @ SV31 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY346 @ ( sK5_X @ SY346 @ SV31 ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV31 @ SY346 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SY346 )
@ ^ [SY347: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SY346 )
@ ^ [SY348: c > d] : ( carr_d56066307_d_a_e @ SV31 @ SY346 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(562,plain,
( ( ~ ( member_c_d @ sK1_A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ~ ( ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= sK1_A4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(563,plain,
! [SV32: set_c] :
( ( ! [SY349: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK24_X @ SY349 @ SV32 ) @ SV32 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY349 @ ( sK24_X @ SY349 @ SV32 ) ) ) )
| ! [SY350: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SY350 @ SY349 @ SV32 ) @ SV32 )
| ~ ( ( ( SY349 @ ( sK23_X @ SY350 @ SY349 @ SV32 ) )
!= ( SY350 @ ( sK23_X @ SY350 @ SY349 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SY349 )
= ( prod_p131511076_d_a_e @ SV32 @ SY350 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(564,plain,
( ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SX0 )
= SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
| ~ ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(565,plain,
! [SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ! [SY351: set_c_d,SY352: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SY351 @ SY352 ) )
= ( ! [SY353: c > d] :
( ~ ( member_c_d @ SY353 @ SY351 )
| ( member_c_d_c_d @ ( SV33 @ SY353 ) @ ( SY352 @ SY353 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(566,plain,
! [SV34: set_c] :
( ( ! [SY354: c > d,SY355: set_d] :
( ~ ( ~ ( member_c @ ( sK12_X @ SY355 @ SY354 @ SV34 ) @ SV34 )
| ~ ~ ( member_d @ ( SY354 @ ( sK12_X @ SY355 @ SY354 @ SV34 ) ) @ SY355 ) )
| ( member_c_d @ SY354
@ ( pi_c_d @ SV34
@ ^ [SX3: c] : SY355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(567,plain,
! [SV35: set_c] :
( ( ! [SY357: c > d,SY358: c > set_d] :
( ~ ( ~ ( member_c @ ( sK13_X @ SY358 @ SY357 @ SV35 ) @ SV35 )
| ~ ~ ( member_d @ ( SY357 @ ( sK13_X @ SY358 @ SY357 @ SV35 ) ) @ ( SY358 @ ( sK13_X @ SY358 @ SY357 @ SV35 ) ) ) )
| ( member_c_d @ SY357 @ ( pi_c_d @ SV35 @ SY358 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(568,plain,
! [SV36: set_c_d] :
( ( ! [SY359: ( c > d ) > c > d,SY360: ( c > d ) > set_c_d] :
( ~ ( ~ ( member_c_d @ ( sK30_X @ SY360 @ SY359 @ SV36 ) @ SV36 )
| ~ ~ ( member_c_d @ ( SY359 @ ( sK30_X @ SY360 @ SY359 @ SV36 ) ) @ ( SY360 @ ( sK30_X @ SY360 @ SY359 @ SV36 ) ) ) )
| ( member_c_d_c_d @ SY359 @ ( pi_c_d_c_d @ SV36 @ SY360 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(569,plain,
! [SV37: set_c] :
( ( ! [SY361: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK22_X @ SY361 @ SV37 ) @ SV37 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY361 @ ( sK22_X @ SY361 @ SV37 ) ) ) )
| ! [SY362: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SY362 @ SY361 @ SV37 ) @ SV37 )
| ~ ( ( ( SY361 @ ( sK21_X @ SY362 @ SY361 @ SV37 ) )
!= ( SY362 @ ( sK21_X @ SY362 @ SY361 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SY361 )
= ( prod_z1214987823_d_a_e @ SV37 @ SY362 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(570,plain,
! [SV38: set_c] :
( ( ! [SY363: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK28_X @ SY363 @ SV38 ) @ SV38 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY363 @ ( sK28_X @ SY363 @ SV38 ) ) ) )
| ! [SY364: c > d] :
( ~ ( member_c_d @ SY364 @ ( carr_p1636662547_d_a_e @ SV38 @ SY363 ) )
| ! [SY365: c > d] :
( ~ ( member_c_d @ SY365 @ ( carr_p1636662547_d_a_e @ SV38 @ SY363 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY365 @ SY364 @ SY363 @ SV38 ) @ SV38 )
| ~ ( ( ( SY364 @ ( sK27_X @ SY365 @ SY364 @ SY363 @ SV38 ) )
!= ( SY365 @ ( sK27_X @ SY365 @ SY364 @ SY363 @ SV38 ) ) ) ) )
| ( SY364 = SY365 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(571,plain,
! [SV39: set_c_d] :
( ( ! [SY366: ( c > d ) > c > d,SY367: set_c_d] :
( ~ ( ~ ( member_c_d @ ( sK29_X @ SY367 @ SY366 @ SV39 ) @ SV39 )
| ~ ~ ( member_c_d @ ( SY366 @ ( sK29_X @ SY367 @ SY366 @ SV39 ) ) @ SY367 ) )
| ( member_c_d_c_d @ SY366
@ ( pi_c_d_c_d @ SV39
@ ^ [SX3: c > d] : SY367 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(572,plain,
! [SV40: set_c] :
( ( ! [SY369: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK10_X @ SY369 @ SV40 ) @ SV40 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY369 @ ( sK10_X @ SY369 @ SV40 ) ) ) )
| ! [SY370: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SY370 @ SY369 @ SV40 ) @ SV40 )
| ~ ( ( ( SY369 @ ( sK9_X @ SY370 @ SY369 @ SV40 ) )
!= ( SY370 @ ( sK9_X @ SY370 @ SY369 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SY369 )
= ( prod_m854557927_d_a_e @ SV40 @ SY370 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(573,plain,
! [SV41: set_c_d] :
( ( ! [SY371: ( c > d ) > c > d,SY372: ( c > d ) > c > d] :
( ~ ( ~ ( member_c_d @ ( sK15_W @ SY372 @ SY371 @ SV41 ) @ SV41 )
| ~ ( ( ( SY371 @ ( sK15_W @ SY372 @ SY371 @ SV41 ) )
!= ( SY372 @ ( sK15_W @ SY372 @ SY371 @ SV41 ) ) ) ) )
| ! [SY373: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SY371 @ ( pi_c_d_c_d @ SV41 @ SY373 ) )
= ( member_c_d_c_d @ SY372 @ ( pi_c_d_c_d @ SV41 @ SY373 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(574,plain,
! [SV42: set_c] :
( ( ! [SY374: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK7_X @ SY374 @ SV42 ) @ SV42 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY374 @ ( sK7_X @ SY374 @ SV42 ) ) ) )
| ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SV42 @ SY374 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV42 @ SY374 )
@ ^ [SY375: c > d] : ( carr_p1636662547_d_a_e @ SV42 @ SY374 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(575,plain,
! [SV43: set_c] :
( ( ! [SY376: c > d,SY377: c > set_d] :
( ~ ( ~ ( member_c @ ( sK6_X @ SY377 @ SY376 @ SV43 ) @ SV43 )
| ~ ~ ( member_d @ ( SY376 @ ( sK6_X @ SY377 @ SY376 @ SV43 ) ) @ ( SY377 @ ( sK6_X @ SY377 @ SY376 @ SV43 ) ) ) )
| ( member_c_d @ SY376 @ ( pi_c_d @ SV43 @ SY377 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(576,plain,
! [SV44: set_c] :
( ( ! [SY378: c > carrie1948989069_d_a_e,SY379: c > d] :
( ~ ( ~ ( member_c @ ( sK4_X @ SY379 @ SY378 @ SV44 ) @ SV44 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY378 @ ( sK4_X @ SY379 @ SY378 @ SV44 ) ) ) )
| ~ ( member_c_d @ SY379 @ ( carr_p1636662547_d_a_e @ SV44 @ SY378 ) )
| ! [SY380: c > d] :
( ~ ( member_c_d @ SY380 @ ( carr_p1636662547_d_a_e @ SV44 @ SY378 ) )
| ! [SY381: c] :
( ~ ( member_c @ SY381 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SY378 @ SY379 @ SY380 @ SY381 )
= ( pop_d_261713874_d_a_e @ ( SY378 @ SY381 ) @ ( SY379 @ SY381 ) @ ( SY380 @ SY381 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(577,plain,
! [SV45: c > d] :
( ( ! [SY382: set_c,SY383: c > set_d] :
( ( member_c_d @ SV45 @ ( pi_c_d @ SY382 @ SY383 ) )
= ( ! [SY384: c] :
( ~ ( member_c @ SY384 @ SY382 )
| ( member_d @ ( SV45 @ SY384 ) @ ( SY383 @ SY384 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(578,plain,
! [SV46: set_c] :
( ( ! [SY385: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK3_X @ SY385 @ SV46 ) @ SV46 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY385 @ ( sK3_X @ SY385 @ SV46 ) ) ) )
| ! [SY386: c > d] :
( ~ ( member_c_d @ SY386 @ ( carr_d56066307_d_a_e @ SV46 @ SY385 ) )
| ! [SY387: c > d] :
( ~ ( member_c_d @ SY387 @ ( carr_d56066307_d_a_e @ SV46 @ SY385 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SY385 @ SY386 @ SY387 ) @ ( carr_d56066307_d_a_e @ SV46 @ SY385 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(579,plain,
! [SV47: set_c] :
( ( ! [SY388: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK11_X @ SY388 @ SV47 ) @ SV47 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY388 @ ( sK11_X @ SY388 @ SV47 ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV47 @ SY388 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SY388 )
@ ^ [SY389: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SY388 )
@ ^ [SY390: c > d] : ( carr_p1636662547_d_a_e @ SV47 @ SY388 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(580,plain,
! [SV48: set_c] :
( ( ! [SY391: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK20_X @ SY391 @ SV48 ) @ SV48 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SY391 @ ( sK20_X @ SY391 @ SV48 ) ) ) )
| ! [SY392: c > d] :
( ~ ( member_c_d @ SY392 @ ( carr_p1636662547_d_a_e @ SV48 @ SY391 ) )
| ! [SY393: c > d] :
( ~ ( member_c_d @ SY393 @ ( carr_p1636662547_d_a_e @ SV48 @ SY391 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SY391 @ SY392 @ SY393 )
= ( prod_p131511076_d_a_e @ SV48 @ SY391 @ SY393 @ SY392 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(581,plain,
! [SV49: set_c,SV1: c > d] :
( ( ! [SY394: set_d] :
( ~ ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [Uu: c] : SY394 ) )
| ! [SY396: c > d] :
( ( SV1 != SY396 )
| ( member_c_d @ SY396
@ ( pi_c_d @ SV49
@ ^ [Uu: c] : SY394 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(582,plain,
! [SV50: set_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ! [SY398: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [Uu: c > d] : SY398 ) )
| ! [SY400: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY400
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [Uu: c > d] : SY398 ) )
| ( SV2 != SY400 )
| ! [SY402: c > d] :
( ~ ( member_c_d @ SY402 @ SV50 )
| ( ( SV2 @ SY402 )
= ( SY400 @ SY402 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(583,plain,
! [SV51: set_c_d,SV3: ( c > d ) > c > d] :
( ( ! [SY403: set_c_d] :
( ~ ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [Uu: c > d] : SY403 ) )
| ! [SY405: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY405
@ ( pi_c_d_c_d @ SV51
@ ^ [Uu: c > d] : SY403 ) )
| ( SV3 != SY405 )
| ! [SY407: c > d] :
( ~ ( member_c_d @ SY407 @ SV51 )
| ( ( SV3 @ SY407 )
= ( SY405 @ SY407 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(584,plain,
! [SV52: set_c,SV4: c > d] :
( ( ! [SY408: set_d] :
( ~ ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [Uu: c] : SY408 ) )
| ! [SY410: c > d] :
( ~ ( member_c_d @ SY410
@ ( pi_c_d @ SV52
@ ^ [Uu: c] : SY408 ) )
| ( SV4 != SY410 )
| ! [SY412: c] :
( ~ ( member_c @ SY412 @ SV52 )
| ( ( SV4 @ SY412 )
= ( SY410 @ SY412 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(585,plain,
! [SV53: set_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ! [SY413: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [Uu: c > d] : SY413 ) )
| ! [SY415: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY415
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [Uu: c > d] : SY413 ) )
| ( SV5 != SY415 )
| ! [SY417: c > d] :
( ~ ( member_c_d @ SY417 @ SV53 )
| ( ( SV5 @ SY417 )
= ( SY415 @ SY417 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(586,plain,
! [SV54: set_c_d,SV6: ( c > d ) > c > d] :
( ( ! [SY418: set_c_d] :
( ~ ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [Uu: c > d] : SY418 ) )
| ! [SY420: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY420
@ ( pi_c_d_c_d @ SV54
@ ^ [Uu: c > d] : SY418 ) )
| ( SV6 != SY420 )
| ! [SY422: c > d] :
( ~ ( member_c_d @ SY422 @ SV54 )
| ( ( SV6 @ SY422 )
= ( SY420 @ SY422 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(587,plain,
! [SV55: set_c,SV7: c > d] :
( ( ! [SY423: set_d] :
( ~ ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [Uu: c] : SY423 ) )
| ! [SY425: c > d] :
( ~ ( member_c_d @ SY425
@ ( pi_c_d @ SV55
@ ^ [Uu: c] : SY423 ) )
| ( SV7 != SY425 )
| ! [SY427: c] :
( ~ ( member_c @ SY427 @ SV55 )
| ( ( SV7 @ SY427 )
= ( SY425 @ SY427 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(588,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= ( SV56 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(589,plain,
! [SV57: set_c_d,SV10: ( c > d ) > c > d] :
( ( ! [SY428: set_c,SY429: set_d] :
( ~ ( member_c_d_c_d @ SV10
@ ( pi_c_d_c_d @ SV57
@ ^ [Uu: c > d] :
( pi_c_d @ SY428
@ ^ [Uv: c] : SY429 ) ) )
| ! [SY432: c > d] :
( ~ ( member_c_d @ SY432 @ SV57 )
| ( member_c_d @ ( SV10 @ SY432 )
@ ( pi_c_d @ SY428
@ ^ [Uu: c] : SY429 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(590,plain,
! [SV58: set_c_d,SV11: ( c > d ) > c > d] :
( ( ! [SY434: set_c,SY435: set_d] :
( ~ ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [Uu: c > d] :
( pi_c_d @ SY434
@ ^ [Uv: c] : SY435 ) ) )
| ! [SY438: c > d] :
( ~ ( member_c_d @ SY438 @ SV58 )
| ! [SY297: c] :
( ~ ( member_c @ SY297 @ SY434 )
| ( member_d @ ( SV11 @ SY438 @ SY297 ) @ SY435 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(591,plain,
! [SV59: set_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ! [SY440: set_c_d_c_d] :
( ~ ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [Uu: c > d] : SY440 ) )
| ! [SY442: ( c > d ) > ( c > d ) > c > d] :
( ( SV12 != SY442 )
| ( member_c_d_c_d_c_d @ SY442
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [Uu: c > d] : SY440 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(592,plain,
! [SV60: set_c_d,SV13: ( c > d ) > c > d] :
( ( ! [SY444: set_c_d] :
( ~ ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [Uu: c > d] : SY444 ) )
| ! [SY446: ( c > d ) > c > d] :
( ( SV13 != SY446 )
| ( member_c_d_c_d @ SY446
@ ( pi_c_d_c_d @ SV60
@ ^ [Uu: c > d] : SY444 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(593,plain,
! [SV61: set_c,SV15: c > d] :
( ( ! [SY448: set_d] :
( ~ ( member_c_d @ SV15
@ ( pi_c_d @ SV61
@ ^ [Uu: c] : SY448 ) )
| ! [SY450: c] :
( ~ ( member_c @ SY450 @ SV61 )
| ( member_d @ ( SV15 @ SY450 ) @ SY448 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(594,plain,
! [SV62: set_c,SV16: c > d] :
( ( ! [SY451: c > set_d] :
( ~ ( member_c_d @ SV16 @ ( pi_c_d @ SV62 @ SY451 ) )
| ! [SY452: c] :
( ~ ( member_c @ SY452 @ SV62 )
| ( member_d @ ( SV16 @ SY452 ) @ ( SY451 @ SY452 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(595,plain,
! [SV63: set_c,SV17: c > d] :
( ( ! [SY453: c > set_d] :
( ~ ( member_c_d @ SV17 @ ( pi_c_d @ SV63 @ SY453 ) )
| ! [SY454: c] :
( ( member_d @ ( SV17 @ SY454 ) @ ( SY453 @ SY454 ) )
| ~ ( member_c @ SY454 @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(596,plain,
! [SV64: c > $o,SV18: c] :
( ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= ( SV64 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(597,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= ( SV65 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(598,plain,
! [SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ! [SY455: ( c > d ) > ( c > d ) > c > d] :
( ~ ( ~ ( member_c_d @ ( sK16_W @ SY455 @ SV66 @ SV22 ) @ SV22 )
| ~ ( ( ( SV66 @ ( sK16_W @ SY455 @ SV66 @ SV22 ) )
!= ( SY455 @ ( sK16_W @ SY455 @ SV66 @ SV22 ) ) ) ) )
| ! [SY456: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY456 ) )
= ( member_c_d_c_d_c_d @ SY455 @ ( pi_c_d_c_d_c_d @ SV22 @ SY456 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(599,plain,
! [SV23: set_c,SV67: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK8_X @ SV67 @ SV23 ) @ SV23 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV67 @ ( sK8_X @ SV67 @ SV23 ) ) ) )
| ! [SY457: c > d] :
( ~ ( member_c_d @ SY457 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SY457 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(600,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) ) )
| ! [SY458: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SY458 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) )
!= ( SY458 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SY458 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(601,plain,
! [SV25: set_c,SV69: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK17_X @ SV69 @ SV25 ) @ SV25 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV69 @ ( sK17_X @ SV69 @ SV25 ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ SV25 @ SV69 ) @ ( carr_p1636662547_d_a_e @ SV25 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(602,plain,
! [SV26: set_c,SV70: c > d] :
( ( ! [SY459: c > d] :
( ~ ( ~ ( member_c @ ( sK14_W @ SY459 @ SV70 @ SV26 ) @ SV26 )
| ~ ( ( ( SV70 @ ( sK14_W @ SY459 @ SV70 @ SV26 ) )
!= ( SY459 @ ( sK14_W @ SY459 @ SV70 @ SV26 ) ) ) ) )
| ! [SY460: c > set_d] :
( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SY460 ) )
= ( member_c_d @ SY459 @ ( pi_c_d @ SV26 @ SY460 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(603,plain,
! [SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ! [SY461: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SY461 ) )
= ( ! [SY462: c > d] :
( ~ ( member_c_d @ SY462 @ SV71 )
| ( member_c_d @ ( SV27 @ SY462 ) @ ( SY461 @ SY462 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(604,plain,
! [SV28: set_c,SV72: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) ) )
| ! [SY463: c > d] :
( ~ ( member_c_d @ SY463 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY464: c > d] :
( ~ ( member_c_d @ SY464 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SY463 @ SY464 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(605,plain,
! [SV29: set_c,SV73: c > carrie1948989069_d_a_e] :
( ( ! [SY465: c > d] :
( ~ ( ~ ( member_c @ ( sK19_X @ SY465 @ SV73 @ SV29 ) @ SV29 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SY465 @ SV73 @ SV29 ) ) ) )
| ~ ( member_c_d @ SY465 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY466: c > d] :
( ~ ( member_c_d @ SY466 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY467: c > d] :
( ~ ( member_c_d @ SY467 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY465 @ SY466 ) @ SY467 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY465 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY466 @ SY467 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(606,plain,
! [SV30: set_c,SV74: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK2_X @ SV74 @ SV30 ) @ SV30 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV74 @ ( sK2_X @ SV74 @ SV30 ) ) ) )
| ( member_c_d @ ( prod_z1214987823_d_a_e @ SV30 @ SV74 ) @ ( carr_d56066307_d_a_e @ SV30 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(607,plain,
! [SV31: set_c,SV75: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK5_X @ SV75 @ SV31 ) @ SV31 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV75 @ ( sK5_X @ SV75 @ SV31 ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV31 @ SV75 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY468: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY469: c > d] : ( carr_d56066307_d_a_e @ SV31 @ SV75 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(608,plain,
( ( ~ ( member_c_d @ sK1_A4 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(609,plain,
( ( ~ ( ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= sK1_A4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(610,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) ) )
| ! [SY470: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SY470 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) )
!= ( SY470 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SY470 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(611,plain,
( ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SX0 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(612,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
| ~ ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(613,plain,
! [SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ! [SY471: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SY471 ) )
= ( ! [SY472: c > d] :
( ~ ( member_c_d @ SY472 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY472 ) @ ( SY471 @ SY472 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(614,plain,
! [SV34: set_c,SV78: c > d] :
( ( ! [SY473: set_d] :
( ~ ( ~ ( member_c @ ( sK12_X @ SY473 @ SV78 @ SV34 ) @ SV34 )
| ~ ~ ( member_d @ ( SV78 @ ( sK12_X @ SY473 @ SV78 @ SV34 ) ) @ SY473 ) )
| ( member_c_d @ SV78
@ ( pi_c_d @ SV34
@ ^ [SX3: c] : SY473 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(615,plain,
! [SV35: set_c,SV79: c > d] :
( ( ! [SY475: c > set_d] :
( ~ ( ~ ( member_c @ ( sK13_X @ SY475 @ SV79 @ SV35 ) @ SV35 )
| ~ ~ ( member_d @ ( SV79 @ ( sK13_X @ SY475 @ SV79 @ SV35 ) ) @ ( SY475 @ ( sK13_X @ SY475 @ SV79 @ SV35 ) ) ) )
| ( member_c_d @ SV79 @ ( pi_c_d @ SV35 @ SY475 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(616,plain,
! [SV36: set_c_d,SV80: ( c > d ) > c > d] :
( ( ! [SY476: ( c > d ) > set_c_d] :
( ~ ( ~ ( member_c_d @ ( sK30_X @ SY476 @ SV80 @ SV36 ) @ SV36 )
| ~ ~ ( member_c_d @ ( SV80 @ ( sK30_X @ SY476 @ SV80 @ SV36 ) ) @ ( SY476 @ ( sK30_X @ SY476 @ SV80 @ SV36 ) ) ) )
| ( member_c_d_c_d @ SV80 @ ( pi_c_d_c_d @ SV36 @ SY476 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(617,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) ) )
| ! [SY477: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SY477 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) )
!= ( SY477 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SY477 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(618,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) ) )
| ! [SY478: c > d] :
( ~ ( member_c_d @ SY478 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY479: c > d] :
( ~ ( member_c_d @ SY479 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SY478 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) )
!= ( SY479 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) ) ) ) )
| ( SY478 = SY479 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(619,plain,
! [SV39: set_c_d,SV83: ( c > d ) > c > d] :
( ( ! [SY480: set_c_d] :
( ~ ( ~ ( member_c_d @ ( sK29_X @ SY480 @ SV83 @ SV39 ) @ SV39 )
| ~ ~ ( member_c_d @ ( SV83 @ ( sK29_X @ SY480 @ SV83 @ SV39 ) ) @ SY480 ) )
| ( member_c_d_c_d @ SV83
@ ( pi_c_d_c_d @ SV39
@ ^ [SX3: c > d] : SY480 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(620,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) ) )
| ! [SY482: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SY482 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) )
!= ( SY482 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SY482 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(621,plain,
! [SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ! [SY483: ( c > d ) > c > d] :
( ~ ( ~ ( member_c_d @ ( sK15_W @ SY483 @ SV85 @ SV41 ) @ SV41 )
| ~ ( ( ( SV85 @ ( sK15_W @ SY483 @ SV85 @ SV41 ) )
!= ( SY483 @ ( sK15_W @ SY483 @ SV85 @ SV41 ) ) ) ) )
| ! [SY484: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY484 ) )
= ( member_c_d_c_d @ SY483 @ ( pi_c_d_c_d @ SV41 @ SY484 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(622,plain,
! [SV42: set_c,SV86: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK7_X @ SV86 @ SV42 ) @ SV42 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV86 @ ( sK7_X @ SV86 @ SV42 ) ) ) )
| ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SV42 @ SV86 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV42 @ SV86 )
@ ^ [SY485: c > d] : ( carr_p1636662547_d_a_e @ SV42 @ SV86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(623,plain,
! [SV43: set_c,SV87: c > d] :
( ( ! [SY486: c > set_d] :
( ~ ( ~ ( member_c @ ( sK6_X @ SY486 @ SV87 @ SV43 ) @ SV43 )
| ~ ~ ( member_d @ ( SV87 @ ( sK6_X @ SY486 @ SV87 @ SV43 ) ) @ ( SY486 @ ( sK6_X @ SY486 @ SV87 @ SV43 ) ) ) )
| ( member_c_d @ SV87 @ ( pi_c_d @ SV43 @ SY486 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(624,plain,
! [SV44: set_c,SV88: c > carrie1948989069_d_a_e] :
( ( ! [SY487: c > d] :
( ~ ( ~ ( member_c @ ( sK4_X @ SY487 @ SV88 @ SV44 ) @ SV44 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SY487 @ SV88 @ SV44 ) ) ) )
| ~ ( member_c_d @ SY487 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY488: c > d] :
( ~ ( member_c_d @ SY488 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY489: c] :
( ~ ( member_c @ SY489 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SY487 @ SY488 @ SY489 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY489 ) @ ( SY487 @ SY489 ) @ ( SY488 @ SY489 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(625,plain,
! [SV89: set_c,SV45: c > d] :
( ( ! [SY490: c > set_d] :
( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SY490 ) )
= ( ! [SY491: c] :
( ~ ( member_c @ SY491 @ SV89 )
| ( member_d @ ( SV45 @ SY491 ) @ ( SY490 @ SY491 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(626,plain,
! [SV46: set_c,SV90: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) ) )
| ! [SY492: c > d] :
( ~ ( member_c_d @ SY492 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY493: c > d] :
( ~ ( member_c_d @ SY493 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SY492 @ SY493 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(627,plain,
! [SV47: set_c,SV91: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK11_X @ SV91 @ SV47 ) @ SV47 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV91 @ ( sK11_X @ SV91 @ SV47 ) ) ) )
| ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV47 @ SV91 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY494: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY495: c > d] : ( carr_p1636662547_d_a_e @ SV47 @ SV91 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(628,plain,
! [SV48: set_c,SV92: c > carrie1948989069_d_a_e] :
( ( ~ ( ~ ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) ) )
| ! [SY496: c > d] :
( ~ ( member_c_d @ SY496 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY497: c > d] :
( ~ ( member_c_d @ SY497 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY496 @ SY497 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY497 @ SY496 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(629,plain,
! [SV93: set_d,SV49: set_c,SV1: c > d] :
( ( ~ ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [SY498: c] : SV93 ) )
| ! [SY499: c > d] :
( ( SV1 != SY499 )
| ( member_c_d @ SY499
@ ( pi_c_d @ SV49
@ ^ [SY500: c] : SV93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(630,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ~ ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
| ! [SY502: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY502
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
| ( SV2 != SY502 )
| ! [SY402: c > d] :
( ~ ( member_c_d @ SY402 @ SV50 )
| ( ( SV2 @ SY402 )
= ( SY502 @ SY402 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(631,plain,
! [SV95: set_c_d,SV51: set_c_d,SV3: ( c > d ) > c > d] :
( ( ~ ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
| ! [SY506: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY506
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
| ( SV3 != SY506 )
| ! [SY407: c > d] :
( ~ ( member_c_d @ SY407 @ SV51 )
| ( ( SV3 @ SY407 )
= ( SY506 @ SY407 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(632,plain,
! [SV96: set_d,SV52: set_c,SV4: c > d] :
( ( ~ ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
| ! [SY510: c > d] :
( ~ ( member_c_d @ SY510
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
| ( SV4 != SY510 )
| ! [SY412: c] :
( ~ ( member_c @ SY412 @ SV52 )
| ( ( SV4 @ SY412 )
= ( SY510 @ SY412 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(633,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ~ ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
| ! [SY514: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY514
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
| ( SV5 != SY514 )
| ! [SY417: c > d] :
( ~ ( member_c_d @ SY417 @ SV53 )
| ( ( SV5 @ SY417 )
= ( SY514 @ SY417 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(634,plain,
! [SV98: set_c_d,SV54: set_c_d,SV6: ( c > d ) > c > d] :
( ( ~ ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
| ! [SY518: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY518
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
| ( SV6 != SY518 )
| ! [SY422: c > d] :
( ~ ( member_c_d @ SY422 @ SV54 )
| ( ( SV6 @ SY422 )
= ( SY518 @ SY422 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(635,plain,
! [SV99: set_d,SV55: set_c,SV7: c > d] :
( ( ~ ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
| ! [SY522: c > d] :
( ~ ( member_c_d @ SY522
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
| ( SV7 != SY522 )
| ! [SY427: c] :
( ~ ( member_c @ SY427 @ SV55 )
| ( ( SV7 @ SY427 )
= ( SY522 @ SY427 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(636,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ~ ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ( SV56 @ SV8 ) )
| ~ ( ~ ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ~ ( SV56 @ SV8 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[588]) ).
thf(637,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= ( SV56 @ SV8 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[588]) ).
thf(638,plain,
! [SV100: set_c,SV57: set_c_d,SV10: ( c > d ) > c > d] :
( ( ! [SY525: set_d] :
( ~ ( member_c_d_c_d @ SV10
@ ( pi_c_d_c_d @ SV57
@ ^ [SY526: c > d] :
( pi_c_d @ SV100
@ ^ [Uv: c] : SY525 ) ) )
| ! [SY528: c > d] :
( ~ ( member_c_d @ SY528 @ SV57 )
| ( member_c_d @ ( SV10 @ SY528 )
@ ( pi_c_d @ SV100
@ ^ [Uu: c] : SY525 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(639,plain,
! [SV101: set_c,SV58: set_c_d,SV11: ( c > d ) > c > d] :
( ( ! [SY530: set_d] :
( ~ ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY531: c > d] :
( pi_c_d @ SV101
@ ^ [Uv: c] : SY530 ) ) )
| ! [SY533: c > d] :
( ~ ( member_c_d @ SY533 @ SV58 )
| ! [SY534: c] :
( ~ ( member_c @ SY534 @ SV101 )
| ( member_d @ ( SV11 @ SY533 @ SY534 ) @ SY530 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(640,plain,
! [SV102: set_c_d_c_d,SV59: set_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ~ ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
| ! [SY536: ( c > d ) > ( c > d ) > c > d] :
( ( SV12 != SY536 )
| ( member_c_d_c_d_c_d @ SY536
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(641,plain,
! [SV103: set_c_d,SV60: set_c_d,SV13: ( c > d ) > c > d] :
( ( ~ ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
| ! [SY539: ( c > d ) > c > d] :
( ( SV13 != SY539 )
| ( member_c_d_c_d @ SY539
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(642,plain,
! [SV104: set_d,SV61: set_c,SV15: c > d] :
( ( ~ ( member_c_d @ SV15
@ ( pi_c_d @ SV61
@ ^ [SY541: c] : SV104 ) )
| ! [SY542: c] :
( ~ ( member_c @ SY542 @ SV61 )
| ( member_d @ ( SV15 @ SY542 ) @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(643,plain,
! [SV105: c > set_d,SV62: set_c,SV16: c > d] :
( ( ~ ( member_c_d @ SV16 @ ( pi_c_d @ SV62 @ SV105 ) )
| ! [SY543: c] :
( ~ ( member_c @ SY543 @ SV62 )
| ( member_d @ ( SV16 @ SY543 ) @ ( SV105 @ SY543 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(644,plain,
! [SV106: c > set_d,SV63: set_c,SV17: c > d] :
( ( ~ ( member_c_d @ SV17 @ ( pi_c_d @ SV63 @ SV106 ) )
| ! [SY544: c] :
( ( member_d @ ( SV17 @ SY544 ) @ ( SV106 @ SY544 ) )
| ~ ( member_c @ SY544 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(645,plain,
! [SV64: c > $o,SV18: c] :
( ( ~ ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ( SV64 @ SV18 ) )
| ~ ( ~ ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ~ ( SV64 @ SV18 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(646,plain,
! [SV64: c > $o,SV18: c] :
( ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= ( SV64 @ SV18 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(647,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ~ ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ( SV65 @ SV19 ) )
| ~ ( ~ ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ~ ( SV65 @ SV19 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[597]) ).
thf(648,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= ( SV65 @ SV19 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[597]) ).
thf(649,plain,
! [SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ~ ( ~ ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
| ~ ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
!= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) ) ) )
| ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(650,plain,
! [SV23: set_c,SV67: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK8_X @ SV67 @ SV23 ) @ SV23 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV67 @ ( sK8_X @ SV67 @ SV23 ) ) ) ) )
= $true )
| ( ( ! [SY457: c > d] :
( ~ ( member_c_d @ SY457 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SY457 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(651,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) ) ) )
= $true )
| ( ( ! [SY458: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SY458 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) )
!= ( SY458 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SY458 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(652,plain,
! [SV25: set_c,SV69: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK17_X @ SV69 @ SV25 ) @ SV25 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV69 @ ( sK17_X @ SV69 @ SV25 ) ) ) ) )
= $true )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV25 @ SV69 ) @ ( carr_p1636662547_d_a_e @ SV25 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(653,plain,
! [SV26: set_c,SV70: c > d,SV108: c > d] :
( ( ~ ( ~ ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
| ~ ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
!= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) ) ) )
| ! [SY546: c > set_d] :
( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SY546 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SY546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(654,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= ( ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(655,plain,
! [SV28: set_c,SV72: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) ) ) )
= $true )
| ( ( ! [SY463: c > d] :
( ~ ( member_c_d @ SY463 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY464: c > d] :
( ~ ( member_c_d @ SY464 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SY463 @ SY464 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(656,plain,
! [SV29: set_c,SV73: c > carrie1948989069_d_a_e,SV110: c > d] :
( ( ~ ( ~ ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) ) )
| ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(657,plain,
! [SV30: set_c,SV74: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK2_X @ SV74 @ SV30 ) @ SV30 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV74 @ ( sK2_X @ SV74 @ SV30 ) ) ) ) )
= $true )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV30 @ SV74 ) @ ( carr_d56066307_d_a_e @ SV30 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(658,plain,
! [SV31: set_c,SV75: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK5_X @ SV75 @ SV31 ) @ SV31 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV75 @ ( sK5_X @ SV75 @ SV31 ) ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV31 @ SV75 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY468: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY469: c > d] : ( carr_d56066307_d_a_e @ SV31 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(659,plain,
( ( member_c_d @ sK1_A4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(660,plain,
( ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= sK1_A4 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(661,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) ) ) )
= $true )
| ( ( ! [SY470: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SY470 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) )
!= ( SY470 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SY470 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(662,plain,
( ( ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SX0 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(663,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
| ~ ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(664,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= ( ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(665,plain,
! [SV34: set_c,SV78: c > d,SV112: set_d] :
( ( ~ ( ~ ( member_c @ ( sK12_X @ SV112 @ SV78 @ SV34 ) @ SV34 )
| ~ ~ ( member_d @ ( SV78 @ ( sK12_X @ SV112 @ SV78 @ SV34 ) ) @ SV112 ) )
| ( member_c_d @ SV78
@ ( pi_c_d @ SV34
@ ^ [SY551: c] : SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(666,plain,
! [SV35: set_c,SV79: c > d,SV113: c > set_d] :
( ( ~ ( ~ ( member_c @ ( sK13_X @ SV113 @ SV79 @ SV35 ) @ SV35 )
| ~ ~ ( member_d @ ( SV79 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) @ ( SV113 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) ) )
| ( member_c_d @ SV79 @ ( pi_c_d @ SV35 @ SV113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(667,plain,
! [SV36: set_c_d,SV80: ( c > d ) > c > d,SV114: ( c > d ) > set_c_d] :
( ( ~ ( ~ ( member_c_d @ ( sK30_X @ SV114 @ SV80 @ SV36 ) @ SV36 )
| ~ ~ ( member_c_d @ ( SV80 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) @ ( SV114 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) ) )
| ( member_c_d_c_d @ SV80 @ ( pi_c_d_c_d @ SV36 @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(668,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) ) ) )
= $true )
| ( ( ! [SY477: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SY477 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) )
!= ( SY477 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SY477 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(669,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) ) ) )
= $true )
| ( ( ! [SY478: c > d] :
( ~ ( member_c_d @ SY478 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY479: c > d] :
( ~ ( member_c_d @ SY479 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SY478 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) )
!= ( SY479 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) ) ) ) )
| ( SY478 = SY479 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(670,plain,
! [SV39: set_c_d,SV83: ( c > d ) > c > d,SV115: set_c_d] :
( ( ~ ( ~ ( member_c_d @ ( sK29_X @ SV115 @ SV83 @ SV39 ) @ SV39 )
| ~ ~ ( member_c_d @ ( SV83 @ ( sK29_X @ SV115 @ SV83 @ SV39 ) ) @ SV115 ) )
| ( member_c_d_c_d @ SV83
@ ( pi_c_d_c_d @ SV39
@ ^ [SY552: c > d] : SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(671,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) ) ) )
= $true )
| ( ( ! [SY482: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SY482 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) )
!= ( SY482 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SY482 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(672,plain,
! [SV41: set_c_d,SV85: ( c > d ) > c > d,SV116: ( c > d ) > c > d] :
( ( ~ ( ~ ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
| ~ ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
!= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) ) ) )
| ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(673,plain,
! [SV42: set_c,SV86: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK7_X @ SV86 @ SV42 ) @ SV42 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV86 @ ( sK7_X @ SV86 @ SV42 ) ) ) ) )
= $true )
| ( ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SV42 @ SV86 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV42 @ SV86 )
@ ^ [SY485: c > d] : ( carr_p1636662547_d_a_e @ SV42 @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(674,plain,
! [SV43: set_c,SV87: c > d,SV117: c > set_d] :
( ( ~ ( ~ ( member_c @ ( sK6_X @ SV117 @ SV87 @ SV43 ) @ SV43 )
| ~ ~ ( member_d @ ( SV87 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) @ ( SV117 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) ) )
| ( member_c_d @ SV87 @ ( pi_c_d @ SV43 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(675,plain,
! [SV44: set_c,SV88: c > carrie1948989069_d_a_e,SV118: c > d] :
( ( ~ ( ~ ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) ) )
| ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(676,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= ( ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(677,plain,
! [SV46: set_c,SV90: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) ) ) )
= $true )
| ( ( ! [SY492: c > d] :
( ~ ( member_c_d @ SY492 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY493: c > d] :
( ~ ( member_c_d @ SY493 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SY492 @ SY493 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(678,plain,
! [SV47: set_c,SV91: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK11_X @ SV91 @ SV47 ) @ SV47 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV91 @ ( sK11_X @ SV91 @ SV47 ) ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV47 @ SV91 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY494: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY495: c > d] : ( carr_p1636662547_d_a_e @ SV47 @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(679,plain,
! [SV48: set_c,SV92: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) ) ) )
= $true )
| ( ( ! [SY496: c > d] :
( ~ ( member_c_d @ SY496 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY497: c > d] :
( ~ ( member_c_d @ SY497 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY496 @ SY497 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY497 @ SY496 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(680,plain,
! [SV93: set_d,SV49: set_c,SV1: c > d] :
( ( ( ~ ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [SY498: c] : SV93 ) ) )
= $true )
| ( ( ! [SY499: c > d] :
( ( SV1 != SY499 )
| ( member_c_d @ SY499
@ ( pi_c_d @ SV49
@ ^ [SY500: c] : SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(681,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) ) )
= $true )
| ( ( ! [SY502: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY502
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
| ( SV2 != SY502 )
| ! [SY402: c > d] :
( ~ ( member_c_d @ SY402 @ SV50 )
| ( ( SV2 @ SY402 )
= ( SY502 @ SY402 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(682,plain,
! [SV95: set_c_d,SV51: set_c_d,SV3: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) ) )
= $true )
| ( ( ! [SY506: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY506
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
| ( SV3 != SY506 )
| ! [SY407: c > d] :
( ~ ( member_c_d @ SY407 @ SV51 )
| ( ( SV3 @ SY407 )
= ( SY506 @ SY407 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(683,plain,
! [SV96: set_d,SV52: set_c,SV4: c > d] :
( ( ( ~ ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) ) )
= $true )
| ( ( ! [SY510: c > d] :
( ~ ( member_c_d @ SY510
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
| ( SV4 != SY510 )
| ! [SY412: c] :
( ~ ( member_c @ SY412 @ SV52 )
| ( ( SV4 @ SY412 )
= ( SY510 @ SY412 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(684,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) ) )
= $true )
| ( ( ! [SY514: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY514
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
| ( SV5 != SY514 )
| ! [SY417: c > d] :
( ~ ( member_c_d @ SY417 @ SV53 )
| ( ( SV5 @ SY417 )
= ( SY514 @ SY417 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(685,plain,
! [SV98: set_c_d,SV54: set_c_d,SV6: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) ) )
= $true )
| ( ( ! [SY518: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY518
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
| ( SV6 != SY518 )
| ! [SY422: c > d] :
( ~ ( member_c_d @ SY422 @ SV54 )
| ( ( SV6 @ SY422 )
= ( SY518 @ SY422 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(686,plain,
! [SV99: set_d,SV55: set_c,SV7: c > d] :
( ( ( ~ ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) ) )
= $true )
| ( ( ! [SY522: c > d] :
( ~ ( member_c_d @ SY522
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
| ( SV7 != SY522 )
| ! [SY427: c] :
( ~ ( member_c @ SY427 @ SV55 )
| ( ( SV7 @ SY427 )
= ( SY522 @ SY427 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(687,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( ~ ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ( SV56 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ~ ( SV56 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(688,plain,
! [SV120: set_d,SV100: set_c,SV57: set_c_d,SV10: ( c > d ) > c > d] :
( ( ~ ( member_c_d_c_d @ SV10
@ ( pi_c_d_c_d @ SV57
@ ^ [SY557: c > d] :
( pi_c_d @ SV100
@ ^ [SY558: c] : SV120 ) ) )
| ! [SY559: c > d] :
( ~ ( member_c_d @ SY559 @ SV57 )
| ( member_c_d @ ( SV10 @ SY559 )
@ ( pi_c_d @ SV100
@ ^ [SY560: c] : SV120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(689,plain,
! [SV121: set_d,SV101: set_c,SV58: set_c_d,SV11: ( c > d ) > c > d] :
( ( ~ ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY561: c > d] :
( pi_c_d @ SV101
@ ^ [SY562: c] : SV121 ) ) )
| ! [SY563: c > d] :
( ~ ( member_c_d @ SY563 @ SV58 )
| ! [SY564: c] :
( ~ ( member_c @ SY564 @ SV101 )
| ( member_d @ ( SV11 @ SY563 @ SY564 ) @ SV121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(690,plain,
! [SV102: set_c_d_c_d,SV59: set_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) ) )
= $true )
| ( ( ! [SY536: ( c > d ) > ( c > d ) > c > d] :
( ( SV12 != SY536 )
| ( member_c_d_c_d_c_d @ SY536
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(691,plain,
! [SV103: set_c_d,SV60: set_c_d,SV13: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) ) )
= $true )
| ( ( ! [SY539: ( c > d ) > c > d] :
( ( SV13 != SY539 )
| ( member_c_d_c_d @ SY539
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(692,plain,
! [SV104: set_d,SV61: set_c,SV15: c > d] :
( ( ( ~ ( member_c_d @ SV15
@ ( pi_c_d @ SV61
@ ^ [SY541: c] : SV104 ) ) )
= $true )
| ( ( ! [SY542: c] :
( ~ ( member_c @ SY542 @ SV61 )
| ( member_d @ ( SV15 @ SY542 ) @ SV104 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(693,plain,
! [SV105: c > set_d,SV62: set_c,SV16: c > d] :
( ( ( ~ ( member_c_d @ SV16 @ ( pi_c_d @ SV62 @ SV105 ) ) )
= $true )
| ( ( ! [SY543: c] :
( ~ ( member_c @ SY543 @ SV62 )
| ( member_d @ ( SV16 @ SY543 ) @ ( SV105 @ SY543 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(694,plain,
! [SV106: c > set_d,SV63: set_c,SV17: c > d] :
( ( ( ~ ( member_c_d @ SV17 @ ( pi_c_d @ SV63 @ SV106 ) ) )
= $true )
| ( ( ! [SY544: c] :
( ( member_d @ ( SV17 @ SY544 ) @ ( SV106 @ SY544 ) )
| ~ ( member_c @ SY544 @ SV63 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(695,plain,
! [SV64: c > $o,SV18: c] :
( ( ( ~ ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ( SV64 @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ~ ( SV64 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(696,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ( SV65 @ SV19 ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ~ ( SV65 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(697,plain,
! [SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ~ ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
| ~ ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
!= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) ) ) ) )
= $true )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(698,plain,
! [SV23: set_c,SV67: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK8_X @ SV67 @ SV23 ) @ SV23 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV67 @ ( sK8_X @ SV67 @ SV23 ) ) ) )
= $false )
| ( ( ! [SY457: c > d] :
( ~ ( member_c_d @ SY457 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SY457 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(699,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) ) )
= $false )
| ( ( ! [SY458: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SY458 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) )
!= ( SY458 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SY458 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(700,plain,
! [SV25: set_c,SV69: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK17_X @ SV69 @ SV25 ) @ SV25 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV69 @ ( sK17_X @ SV69 @ SV25 ) ) ) )
= $false )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV25 @ SV69 ) @ ( carr_p1636662547_d_a_e @ SV25 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(701,plain,
! [SV26: set_c,SV70: c > d,SV108: c > d] :
( ( ( ~ ( ~ ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
| ~ ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
!= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) ) ) ) )
= $true )
| ( ( ! [SY546: c > set_d] :
( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SY546 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(702,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ~ ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
| ~ ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(703,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= ( ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(704,plain,
! [SV28: set_c,SV72: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) ) )
= $false )
| ( ( ! [SY463: c > d] :
( ~ ( member_c_d @ SY463 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY464: c > d] :
( ~ ( member_c_d @ SY464 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SY463 @ SY464 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(705,plain,
! [SV29: set_c,SV73: c > carrie1948989069_d_a_e,SV110: c > d] :
( ( ( ~ ( ~ ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) ) ) )
= $true )
| ( ( ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(706,plain,
! [SV30: set_c,SV74: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK2_X @ SV74 @ SV30 ) @ SV30 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV74 @ ( sK2_X @ SV74 @ SV30 ) ) ) )
= $false )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV30 @ SV74 ) @ ( carr_d56066307_d_a_e @ SV30 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(707,plain,
! [SV31: set_c,SV75: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK5_X @ SV75 @ SV31 ) @ SV31 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV75 @ ( sK5_X @ SV75 @ SV31 ) ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV31 @ SV75 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY468: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY469: c > d] : ( carr_d56066307_d_a_e @ SV31 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(708,plain,
( ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= sK1_A4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(709,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) ) )
= $false )
| ( ( ! [SY470: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SY470 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) )
!= ( SY470 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SY470 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(710,plain,
! [SV122: c > d] :
( ( ~ ( member_c_d @ SV122 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SV122 )
= SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(711,plain,
( ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
| ~ ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(712,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ~ ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
| ~ ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[664]) ).
thf(713,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= ( ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[664]) ).
thf(714,plain,
! [SV34: set_c,SV78: c > d,SV112: set_d] :
( ( ( ~ ( ~ ( member_c @ ( sK12_X @ SV112 @ SV78 @ SV34 ) @ SV34 )
| ~ ~ ( member_d @ ( SV78 @ ( sK12_X @ SV112 @ SV78 @ SV34 ) ) @ SV112 ) ) )
= $true )
| ( ( member_c_d @ SV78
@ ( pi_c_d @ SV34
@ ^ [SY551: c] : SV112 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(715,plain,
! [SV35: set_c,SV79: c > d,SV113: c > set_d] :
( ( ( ~ ( ~ ( member_c @ ( sK13_X @ SV113 @ SV79 @ SV35 ) @ SV35 )
| ~ ~ ( member_d @ ( SV79 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) @ ( SV113 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV79 @ ( pi_c_d @ SV35 @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(716,plain,
! [SV36: set_c_d,SV80: ( c > d ) > c > d,SV114: ( c > d ) > set_c_d] :
( ( ( ~ ( ~ ( member_c_d @ ( sK30_X @ SV114 @ SV80 @ SV36 ) @ SV36 )
| ~ ~ ( member_c_d @ ( SV80 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) @ ( SV114 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV80 @ ( pi_c_d_c_d @ SV36 @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(717,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) ) )
= $false )
| ( ( ! [SY477: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SY477 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) )
!= ( SY477 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SY477 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(718,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) ) )
= $false )
| ( ( ! [SY478: c > d] :
( ~ ( member_c_d @ SY478 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY479: c > d] :
( ~ ( member_c_d @ SY479 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SY478 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) )
!= ( SY479 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) ) ) ) )
| ( SY478 = SY479 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(719,plain,
! [SV39: set_c_d,SV83: ( c > d ) > c > d,SV115: set_c_d] :
( ( ( ~ ( ~ ( member_c_d @ ( sK29_X @ SV115 @ SV83 @ SV39 ) @ SV39 )
| ~ ~ ( member_c_d @ ( SV83 @ ( sK29_X @ SV115 @ SV83 @ SV39 ) ) @ SV115 ) ) )
= $true )
| ( ( member_c_d_c_d @ SV83
@ ( pi_c_d_c_d @ SV39
@ ^ [SY552: c > d] : SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(720,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) ) )
= $false )
| ( ( ! [SY482: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SY482 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) )
!= ( SY482 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SY482 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(721,plain,
! [SV41: set_c_d,SV85: ( c > d ) > c > d,SV116: ( c > d ) > c > d] :
( ( ( ~ ( ~ ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
| ~ ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
!= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) ) ) ) )
= $true )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(722,plain,
! [SV42: set_c,SV86: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK7_X @ SV86 @ SV42 ) @ SV42 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV86 @ ( sK7_X @ SV86 @ SV42 ) ) ) )
= $false )
| ( ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SV42 @ SV86 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV42 @ SV86 )
@ ^ [SY485: c > d] : ( carr_p1636662547_d_a_e @ SV42 @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(723,plain,
! [SV43: set_c,SV87: c > d,SV117: c > set_d] :
( ( ( ~ ( ~ ( member_c @ ( sK6_X @ SV117 @ SV87 @ SV43 ) @ SV43 )
| ~ ~ ( member_d @ ( SV87 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) @ ( SV117 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV87 @ ( pi_c_d @ SV43 @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(724,plain,
! [SV44: set_c,SV88: c > carrie1948989069_d_a_e,SV118: c > d] :
( ( ( ~ ( ~ ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) ) ) )
= $true )
| ( ( ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(725,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ~ ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
| ~ ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[676]) ).
thf(726,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= ( ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[676]) ).
thf(727,plain,
! [SV46: set_c,SV90: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) ) )
= $false )
| ( ( ! [SY492: c > d] :
( ~ ( member_c_d @ SY492 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY493: c > d] :
( ~ ( member_c_d @ SY493 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SY492 @ SY493 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(728,plain,
! [SV47: set_c,SV91: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK11_X @ SV91 @ SV47 ) @ SV47 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV91 @ ( sK11_X @ SV91 @ SV47 ) ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV47 @ SV91 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY494: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY495: c > d] : ( carr_p1636662547_d_a_e @ SV47 @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(729,plain,
! [SV48: set_c,SV92: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) ) )
= $false )
| ( ( ! [SY496: c > d] :
( ~ ( member_c_d @ SY496 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY497: c > d] :
( ~ ( member_c_d @ SY497 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY496 @ SY497 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY497 @ SY496 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(730,plain,
! [SV93: set_d,SV49: set_c,SV1: c > d] :
( ( ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [SY498: c] : SV93 ) )
= $false )
| ( ( ! [SY499: c > d] :
( ( SV1 != SY499 )
| ( member_c_d @ SY499
@ ( pi_c_d @ SV49
@ ^ [SY500: c] : SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(731,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false )
| ( ( ! [SY502: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY502
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
| ( SV2 != SY502 )
| ! [SY402: c > d] :
( ~ ( member_c_d @ SY402 @ SV50 )
| ( ( SV2 @ SY402 )
= ( SY502 @ SY402 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(732,plain,
! [SV95: set_c_d,SV51: set_c_d,SV3: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false )
| ( ( ! [SY506: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY506
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
| ( SV3 != SY506 )
| ! [SY407: c > d] :
( ~ ( member_c_d @ SY407 @ SV51 )
| ( ( SV3 @ SY407 )
= ( SY506 @ SY407 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(733,plain,
! [SV96: set_d,SV52: set_c,SV4: c > d] :
( ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false )
| ( ( ! [SY510: c > d] :
( ~ ( member_c_d @ SY510
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
| ( SV4 != SY510 )
| ! [SY412: c] :
( ~ ( member_c @ SY412 @ SV52 )
| ( ( SV4 @ SY412 )
= ( SY510 @ SY412 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(734,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false )
| ( ( ! [SY514: ( c > d ) > ( c > d ) > c > d] :
( ~ ( member_c_d_c_d_c_d @ SY514
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
| ( SV5 != SY514 )
| ! [SY417: c > d] :
( ~ ( member_c_d @ SY417 @ SV53 )
| ( ( SV5 @ SY417 )
= ( SY514 @ SY417 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(735,plain,
! [SV98: set_c_d,SV54: set_c_d,SV6: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false )
| ( ( ! [SY518: ( c > d ) > c > d] :
( ~ ( member_c_d_c_d @ SY518
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
| ( SV6 != SY518 )
| ! [SY422: c > d] :
( ~ ( member_c_d @ SY422 @ SV54 )
| ( ( SV6 @ SY422 )
= ( SY518 @ SY422 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(736,plain,
! [SV99: set_d,SV55: set_c,SV7: c > d] :
( ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false )
| ( ( ! [SY522: c > d] :
( ~ ( member_c_d @ SY522
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
| ( SV7 != SY522 )
| ! [SY427: c] :
( ~ ( member_c @ SY427 @ SV55 )
| ( ( SV7 @ SY427 )
= ( SY522 @ SY427 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(737,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ( SV56 @ SV8 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ~ ( SV56 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(738,plain,
! [SV120: set_d,SV100: set_c,SV57: set_c_d,SV10: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV10
@ ( pi_c_d_c_d @ SV57
@ ^ [SY557: c > d] :
( pi_c_d @ SV100
@ ^ [SY558: c] : SV120 ) ) ) )
= $true )
| ( ( ! [SY559: c > d] :
( ~ ( member_c_d @ SY559 @ SV57 )
| ( member_c_d @ ( SV10 @ SY559 )
@ ( pi_c_d @ SV100
@ ^ [SY560: c] : SV120 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(739,plain,
! [SV121: set_d,SV101: set_c,SV58: set_c_d,SV11: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY561: c > d] :
( pi_c_d @ SV101
@ ^ [SY562: c] : SV121 ) ) ) )
= $true )
| ( ( ! [SY563: c > d] :
( ~ ( member_c_d @ SY563 @ SV58 )
| ! [SY564: c] :
( ~ ( member_c @ SY564 @ SV101 )
| ( member_d @ ( SV11 @ SY563 @ SY564 ) @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(740,plain,
! [SV102: set_c_d_c_d,SV59: set_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false )
| ( ( ! [SY536: ( c > d ) > ( c > d ) > c > d] :
( ( SV12 != SY536 )
| ( member_c_d_c_d_c_d @ SY536
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(741,plain,
! [SV103: set_c_d,SV60: set_c_d,SV13: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false )
| ( ( ! [SY539: ( c > d ) > c > d] :
( ( SV13 != SY539 )
| ( member_c_d_c_d @ SY539
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(742,plain,
! [SV104: set_d,SV61: set_c,SV15: c > d] :
( ( ( member_c_d @ SV15
@ ( pi_c_d @ SV61
@ ^ [SY541: c] : SV104 ) )
= $false )
| ( ( ! [SY542: c] :
( ~ ( member_c @ SY542 @ SV61 )
| ( member_d @ ( SV15 @ SY542 ) @ SV104 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(743,plain,
! [SV105: c > set_d,SV62: set_c,SV16: c > d] :
( ( ( member_c_d @ SV16 @ ( pi_c_d @ SV62 @ SV105 ) )
= $false )
| ( ( ! [SY543: c] :
( ~ ( member_c @ SY543 @ SV62 )
| ( member_d @ ( SV16 @ SY543 ) @ ( SV105 @ SY543 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(744,plain,
! [SV106: c > set_d,SV63: set_c,SV17: c > d] :
( ( ( member_c_d @ SV17 @ ( pi_c_d @ SV63 @ SV106 ) )
= $false )
| ( ( ! [SY544: c] :
( ( member_d @ ( SV17 @ SY544 ) @ ( SV106 @ SY544 ) )
| ~ ( member_c @ SY544 @ SV63 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(745,plain,
! [SV64: c > $o,SV18: c] :
( ( ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ( SV64 @ SV18 ) )
= $false )
| ( ( ~ ( ~ ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ~ ( SV64 @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(746,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ( SV65 @ SV19 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ~ ( SV65 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(747,plain,
! [SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
| ~ ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
!= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) ) ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(748,plain,
! [SV23: set_c,SV67: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK8_X @ SV67 @ SV23 ) @ SV23 ) )
= $false )
| ( ( ! [SY457: c > d] :
( ~ ( member_c_d @ SY457 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SY457 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(749,plain,
! [SV23: set_c,SV67: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV67 @ ( sK8_X @ SV67 @ SV23 ) ) ) )
= $false )
| ( ( ! [SY457: c > d] :
( ~ ( member_c_d @ SY457 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SY457 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(750,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 ) )
= $false )
| ( ( ! [SY458: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SY458 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) )
!= ( SY458 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SY458 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(751,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) ) )
= $false )
| ( ( ! [SY458: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SY458 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) )
!= ( SY458 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SY458 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(752,plain,
! [SV25: set_c,SV69: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK17_X @ SV69 @ SV25 ) @ SV25 ) )
= $false )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV25 @ SV69 ) @ ( carr_p1636662547_d_a_e @ SV25 @ SV69 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(753,plain,
! [SV25: set_c,SV69: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV69 @ ( sK17_X @ SV69 @ SV25 ) ) ) )
= $false )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV25 @ SV69 ) @ ( carr_p1636662547_d_a_e @ SV25 @ SV69 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(754,plain,
! [SV26: set_c,SV70: c > d,SV108: c > d] :
( ( ( ~ ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
| ~ ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
!= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) ) ) )
= $false )
| ( ( ! [SY546: c > set_d] :
( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SY546 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(755,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(756,plain,
! [SV28: set_c,SV72: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 ) )
= $false )
| ( ( ! [SY463: c > d] :
( ~ ( member_c_d @ SY463 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY464: c > d] :
( ~ ( member_c_d @ SY464 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SY463 @ SY464 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(757,plain,
! [SV28: set_c,SV72: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) ) )
= $false )
| ( ( ! [SY463: c > d] :
( ~ ( member_c_d @ SY463 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY464: c > d] :
( ~ ( member_c_d @ SY464 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SY463 @ SY464 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(758,plain,
! [SV29: set_c,SV73: c > carrie1948989069_d_a_e,SV110: c > d] :
( ( ( ~ ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) ) )
= $false )
| ( ( ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(759,plain,
! [SV30: set_c,SV74: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK2_X @ SV74 @ SV30 ) @ SV30 ) )
= $false )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV30 @ SV74 ) @ ( carr_d56066307_d_a_e @ SV30 @ SV74 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(760,plain,
! [SV30: set_c,SV74: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV74 @ ( sK2_X @ SV74 @ SV30 ) ) ) )
= $false )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV30 @ SV74 ) @ ( carr_d56066307_d_a_e @ SV30 @ SV74 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(761,plain,
! [SV31: set_c,SV75: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK5_X @ SV75 @ SV31 ) @ SV31 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV31 @ SV75 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY468: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY469: c > d] : ( carr_d56066307_d_a_e @ SV31 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(762,plain,
! [SV31: set_c,SV75: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV75 @ ( sK5_X @ SV75 @ SV31 ) ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV31 @ SV75 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY468: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY469: c > d] : ( carr_d56066307_d_a_e @ SV31 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(763,plain,
( ( ! [SV123: c] :
( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) @ SV123 )
= ( sK1_A4 @ SV123 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[708]) ).
thf(764,plain,
( ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= sK1_A4 )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[708]) ).
thf(765,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 ) )
= $false )
| ( ( ! [SY470: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SY470 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) )
!= ( SY470 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SY470 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(766,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) ) )
= $false )
| ( ( ! [SY470: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SY470 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) )
!= ( SY470 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SY470 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(767,plain,
! [SV122: c > d] :
( ( ( ~ ( member_c_d @ SV122 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SV122 )
= SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(768,plain,
( ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(769,plain,
( ( ~ ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(770,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(771,plain,
! [SV34: set_c,SV78: c > d,SV112: set_d] :
( ( ( ~ ( member_c @ ( sK12_X @ SV112 @ SV78 @ SV34 ) @ SV34 )
| ~ ~ ( member_d @ ( SV78 @ ( sK12_X @ SV112 @ SV78 @ SV34 ) ) @ SV112 ) )
= $false )
| ( ( member_c_d @ SV78
@ ( pi_c_d @ SV34
@ ^ [SY551: c] : SV112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(772,plain,
! [SV35: set_c,SV79: c > d,SV113: c > set_d] :
( ( ( ~ ( member_c @ ( sK13_X @ SV113 @ SV79 @ SV35 ) @ SV35 )
| ~ ~ ( member_d @ ( SV79 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) @ ( SV113 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) ) )
= $false )
| ( ( member_c_d @ SV79 @ ( pi_c_d @ SV35 @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(773,plain,
! [SV36: set_c_d,SV80: ( c > d ) > c > d,SV114: ( c > d ) > set_c_d] :
( ( ( ~ ( member_c_d @ ( sK30_X @ SV114 @ SV80 @ SV36 ) @ SV36 )
| ~ ~ ( member_c_d @ ( SV80 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) @ ( SV114 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) ) )
= $false )
| ( ( member_c_d_c_d @ SV80 @ ( pi_c_d_c_d @ SV36 @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(774,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 ) )
= $false )
| ( ( ! [SY477: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SY477 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) )
!= ( SY477 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SY477 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(775,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) ) )
= $false )
| ( ( ! [SY477: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SY477 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) )
!= ( SY477 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SY477 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(776,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 ) )
= $false )
| ( ( ! [SY478: c > d] :
( ~ ( member_c_d @ SY478 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY479: c > d] :
( ~ ( member_c_d @ SY479 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SY478 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) )
!= ( SY479 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) ) ) ) )
| ( SY478 = SY479 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(777,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) ) )
= $false )
| ( ( ! [SY478: c > d] :
( ~ ( member_c_d @ SY478 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY479: c > d] :
( ~ ( member_c_d @ SY479 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SY478 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) )
!= ( SY479 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) ) ) ) )
| ( SY478 = SY479 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(778,plain,
! [SV39: set_c_d,SV83: ( c > d ) > c > d,SV115: set_c_d] :
( ( ( ~ ( member_c_d @ ( sK29_X @ SV115 @ SV83 @ SV39 ) @ SV39 )
| ~ ~ ( member_c_d @ ( SV83 @ ( sK29_X @ SV115 @ SV83 @ SV39 ) ) @ SV115 ) )
= $false )
| ( ( member_c_d_c_d @ SV83
@ ( pi_c_d_c_d @ SV39
@ ^ [SY552: c > d] : SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(779,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 ) )
= $false )
| ( ( ! [SY482: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SY482 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) )
!= ( SY482 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SY482 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(780,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) ) )
= $false )
| ( ( ! [SY482: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SY482 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) )
!= ( SY482 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SY482 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(781,plain,
! [SV41: set_c_d,SV85: ( c > d ) > c > d,SV116: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
| ~ ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
!= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) ) ) )
= $false )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(782,plain,
! [SV42: set_c,SV86: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK7_X @ SV86 @ SV42 ) @ SV42 ) )
= $false )
| ( ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SV42 @ SV86 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV42 @ SV86 )
@ ^ [SY485: c > d] : ( carr_p1636662547_d_a_e @ SV42 @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(783,plain,
! [SV42: set_c,SV86: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV86 @ ( sK7_X @ SV86 @ SV42 ) ) ) )
= $false )
| ( ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SV42 @ SV86 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV42 @ SV86 )
@ ^ [SY485: c > d] : ( carr_p1636662547_d_a_e @ SV42 @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(784,plain,
! [SV43: set_c,SV87: c > d,SV117: c > set_d] :
( ( ( ~ ( member_c @ ( sK6_X @ SV117 @ SV87 @ SV43 ) @ SV43 )
| ~ ~ ( member_d @ ( SV87 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) @ ( SV117 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) ) )
= $false )
| ( ( member_c_d @ SV87 @ ( pi_c_d @ SV43 @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(785,plain,
! [SV44: set_c,SV88: c > carrie1948989069_d_a_e,SV118: c > d] :
( ( ( ~ ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
| ~ ~ ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) ) )
= $false )
| ( ( ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(786,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( ~ ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(787,plain,
! [SV46: set_c,SV90: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 ) )
= $false )
| ( ( ! [SY492: c > d] :
( ~ ( member_c_d @ SY492 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY493: c > d] :
( ~ ( member_c_d @ SY493 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SY492 @ SY493 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(788,plain,
! [SV46: set_c,SV90: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) ) )
= $false )
| ( ( ! [SY492: c > d] :
( ~ ( member_c_d @ SY492 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY493: c > d] :
( ~ ( member_c_d @ SY493 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SY492 @ SY493 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(789,plain,
! [SV47: set_c,SV91: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK11_X @ SV91 @ SV47 ) @ SV47 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV47 @ SV91 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY494: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY495: c > d] : ( carr_p1636662547_d_a_e @ SV47 @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(790,plain,
! [SV47: set_c,SV91: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV91 @ ( sK11_X @ SV91 @ SV47 ) ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV47 @ SV91 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY494: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY495: c > d] : ( carr_p1636662547_d_a_e @ SV47 @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(791,plain,
! [SV48: set_c,SV92: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 ) )
= $false )
| ( ( ! [SY496: c > d] :
( ~ ( member_c_d @ SY496 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY497: c > d] :
( ~ ( member_c_d @ SY497 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY496 @ SY497 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY497 @ SY496 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(792,plain,
! [SV48: set_c,SV92: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) ) )
= $false )
| ( ( ! [SY496: c > d] :
( ~ ( member_c_d @ SY496 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY497: c > d] :
( ~ ( member_c_d @ SY497 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY496 @ SY497 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY497 @ SY496 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(793,plain,
! [SV93: set_d,SV49: set_c,SV124: c > d,SV1: c > d] :
( ( ( ( SV1 != SV124 )
| ( member_c_d @ SV124
@ ( pi_c_d @ SV49
@ ^ [SY500: c] : SV93 ) ) )
= $true )
| ( ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [SY498: c] : SV93 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(794,plain,
! [SV2: ( c > d ) > ( c > d ) > c > d,SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
| ( SV2 != SV125 )
| ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(795,plain,
! [SV3: ( c > d ) > c > d,SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
| ( SV3 != SV126 )
| ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(796,plain,
! [SV4: c > d,SV96: set_d,SV52: set_c,SV127: c > d] :
( ( ( ~ ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
| ( SV4 != SV127 )
| ! [SY571: c] :
( ~ ( member_c @ SY571 @ SV52 )
| ( ( SV4 @ SY571 )
= ( SV127 @ SY571 ) ) ) )
= $true )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(797,plain,
! [SV5: ( c > d ) > ( c > d ) > c > d,SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
| ( SV5 != SV128 )
| ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(798,plain,
! [SV6: ( c > d ) > c > d,SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
| ( SV6 != SV129 )
| ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(799,plain,
! [SV7: c > d,SV99: set_d,SV55: set_c,SV130: c > d] :
( ( ( ~ ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
| ( SV7 != SV130 )
| ! [SY577: c] :
( ~ ( member_c @ SY577 @ SV55 )
| ( ( SV7 @ SY577 )
= ( SV130 @ SY577 ) ) ) )
= $true )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(800,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ~ ( SV56 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(801,plain,
! [SV8: c > d,SV56: ( c > d ) > $o] :
( ( ( SV56 @ SV8 )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ~ ( SV56 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(802,plain,
! [SV120: set_d,SV100: set_c,SV57: set_c_d,SV10: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV10
@ ( pi_c_d_c_d @ SV57
@ ^ [SY557: c > d] :
( pi_c_d @ SV100
@ ^ [SY558: c] : SV120 ) ) )
= $false )
| ( ( ! [SY559: c > d] :
( ~ ( member_c_d @ SY559 @ SV57 )
| ( member_c_d @ ( SV10 @ SY559 )
@ ( pi_c_d @ SV100
@ ^ [SY560: c] : SV120 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(803,plain,
! [SV121: set_d,SV101: set_c,SV58: set_c_d,SV11: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY561: c > d] :
( pi_c_d @ SV101
@ ^ [SY562: c] : SV121 ) ) )
= $false )
| ( ( ! [SY563: c > d] :
( ~ ( member_c_d @ SY563 @ SV58 )
| ! [SY564: c] :
( ~ ( member_c @ SY564 @ SV101 )
| ( member_d @ ( SV11 @ SY563 @ SY564 ) @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(804,plain,
! [SV102: set_c_d_c_d,SV59: set_c_d,SV131: ( c > d ) > ( c > d ) > c > d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV12 != SV131 )
| ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(805,plain,
! [SV103: set_c_d,SV60: set_c_d,SV132: ( c > d ) > c > d,SV13: ( c > d ) > c > d] :
( ( ( ( SV13 != SV132 )
| ( member_c_d_c_d @ SV132
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) ) )
= $true )
| ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(806,plain,
! [SV104: set_d,SV15: c > d,SV61: set_c,SV133: c] :
( ( ( ~ ( member_c @ SV133 @ SV61 )
| ( member_d @ ( SV15 @ SV133 ) @ SV104 ) )
= $true )
| ( ( member_c_d @ SV15
@ ( pi_c_d @ SV61
@ ^ [SY541: c] : SV104 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(807,plain,
! [SV105: c > set_d,SV16: c > d,SV62: set_c,SV134: c] :
( ( ( ~ ( member_c @ SV134 @ SV62 )
| ( member_d @ ( SV16 @ SV134 ) @ ( SV105 @ SV134 ) ) )
= $true )
| ( ( member_c_d @ SV16 @ ( pi_c_d @ SV62 @ SV105 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(808,plain,
! [SV63: set_c,SV106: c > set_d,SV135: c,SV17: c > d] :
( ( ( ( member_d @ ( SV17 @ SV135 ) @ ( SV106 @ SV135 ) )
| ~ ( member_c @ SV135 @ SV63 ) )
= $true )
| ( ( member_c_d @ SV17 @ ( pi_c_d @ SV63 @ SV106 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(809,plain,
! [SV64: c > $o,SV18: c] :
( ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= $false )
| ( ( ~ ( ~ ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ~ ( SV64 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(810,plain,
! [SV18: c,SV64: c > $o] :
( ( ( SV64 @ SV18 )
= $false )
| ( ( ~ ( ~ ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ~ ( SV64 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(811,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ~ ( SV65 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(812,plain,
! [SV19: ( c > d ) > c > d,SV65: ( ( c > d ) > c > d ) > $o] :
( ( ( SV65 @ SV19 )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ~ ( SV65 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(813,plain,
! [SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(814,plain,
! [SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
!= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) ) ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(815,plain,
! [SV23: set_c,SV67: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK8_X @ SV67 @ SV23 ) @ SV23 )
= $true )
| ( ( ! [SY457: c > d] :
( ~ ( member_c_d @ SY457 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SY457 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(816,plain,
! [SV23: set_c,SV67: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV67 @ ( sK8_X @ SV67 @ SV23 ) ) ) )
= $true )
| ( ( ! [SY457: c > d] :
( ~ ( member_c_d @ SY457 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SY457 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(817,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
= $true )
| ( ( ! [SY458: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SY458 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) )
!= ( SY458 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SY458 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(818,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) ) )
= $true )
| ( ( ! [SY458: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SY458 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) )
!= ( SY458 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SY458 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(819,plain,
! [SV25: set_c,SV69: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK17_X @ SV69 @ SV25 ) @ SV25 )
= $true )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV25 @ SV69 ) @ ( carr_p1636662547_d_a_e @ SV25 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(820,plain,
! [SV25: set_c,SV69: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV69 @ ( sK17_X @ SV69 @ SV25 ) ) ) )
= $true )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV25 @ SV69 ) @ ( carr_p1636662547_d_a_e @ SV25 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(821,plain,
! [SV26: set_c,SV70: c > d,SV108: c > d] :
( ( ( ~ ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 ) )
= $false )
| ( ( ! [SY546: c > set_d] :
( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SY546 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(822,plain,
! [SV26: set_c,SV108: c > d,SV70: c > d] :
( ( ( ~ ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
!= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) ) ) )
= $false )
| ( ( ! [SY546: c > set_d] :
( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SY546 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(823,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(824,plain,
! [SV28: set_c,SV72: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
= $true )
| ( ( ! [SY463: c > d] :
( ~ ( member_c_d @ SY463 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY464: c > d] :
( ~ ( member_c_d @ SY464 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SY463 @ SY464 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(825,plain,
! [SV28: set_c,SV72: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) ) )
= $true )
| ( ( ! [SY463: c > d] :
( ~ ( member_c_d @ SY463 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY464: c > d] :
( ~ ( member_c_d @ SY464 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SY463 @ SY464 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(826,plain,
! [SV29: set_c,SV73: c > carrie1948989069_d_a_e,SV110: c > d] :
( ( ( ~ ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 ) )
= $false )
| ( ( ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(827,plain,
! [SV29: set_c,SV110: c > d,SV73: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) ) )
= $false )
| ( ( ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(828,plain,
! [SV30: set_c,SV74: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK2_X @ SV74 @ SV30 ) @ SV30 )
= $true )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV30 @ SV74 ) @ ( carr_d56066307_d_a_e @ SV30 @ SV74 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(829,plain,
! [SV30: set_c,SV74: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV74 @ ( sK2_X @ SV74 @ SV30 ) ) ) )
= $true )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV30 @ SV74 ) @ ( carr_d56066307_d_a_e @ SV30 @ SV74 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(830,plain,
! [SV31: set_c,SV75: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK5_X @ SV75 @ SV31 ) @ SV31 )
= $true )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV31 @ SV75 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY468: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY469: c > d] : ( carr_d56066307_d_a_e @ SV31 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(831,plain,
! [SV31: set_c,SV75: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV75 @ ( sK5_X @ SV75 @ SV31 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV31 @ SV75 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY468: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY469: c > d] : ( carr_d56066307_d_a_e @ SV31 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(832,plain,
( ( ( prod_p131511076_d_a_e @ i @ m @ sK1_A4 @ ( prod_z1214987823_d_a_e @ i @ m ) @ sK31_SV123 )
= ( sK1_A4 @ sK31_SV123 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[763]) ).
thf(833,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( ! [SY470: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SY470 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) )
!= ( SY470 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SY470 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(834,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) ) )
= $true )
| ( ( ! [SY470: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SY470 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) )
!= ( SY470 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SY470 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(835,plain,
! [SV122: c > d] :
( ( ( member_c_d @ SV122 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SV122 )
= SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(836,plain,
( ( ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(837,plain,
( ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(838,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(839,plain,
! [SV34: set_c,SV78: c > d,SV112: set_d] :
( ( ( ~ ( member_c @ ( sK12_X @ SV112 @ SV78 @ SV34 ) @ SV34 ) )
= $false )
| ( ( member_c_d @ SV78
@ ( pi_c_d @ SV34
@ ^ [SY551: c] : SV112 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(840,plain,
! [SV34: set_c,SV112: set_d,SV78: c > d] :
( ( ( ~ ~ ( member_d @ ( SV78 @ ( sK12_X @ SV112 @ SV78 @ SV34 ) ) @ SV112 ) )
= $false )
| ( ( member_c_d @ SV78
@ ( pi_c_d @ SV34
@ ^ [SY551: c] : SV112 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(841,plain,
! [SV35: set_c,SV79: c > d,SV113: c > set_d] :
( ( ( ~ ( member_c @ ( sK13_X @ SV113 @ SV79 @ SV35 ) @ SV35 ) )
= $false )
| ( ( member_c_d @ SV79 @ ( pi_c_d @ SV35 @ SV113 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(842,plain,
! [SV35: set_c,SV113: c > set_d,SV79: c > d] :
( ( ( ~ ~ ( member_d @ ( SV79 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) @ ( SV113 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) ) )
= $false )
| ( ( member_c_d @ SV79 @ ( pi_c_d @ SV35 @ SV113 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(843,plain,
! [SV36: set_c_d,SV80: ( c > d ) > c > d,SV114: ( c > d ) > set_c_d] :
( ( ( ~ ( member_c_d @ ( sK30_X @ SV114 @ SV80 @ SV36 ) @ SV36 ) )
= $false )
| ( ( member_c_d_c_d @ SV80 @ ( pi_c_d_c_d @ SV36 @ SV114 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(844,plain,
! [SV36: set_c_d,SV114: ( c > d ) > set_c_d,SV80: ( c > d ) > c > d] :
( ( ( ~ ~ ( member_c_d @ ( SV80 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) @ ( SV114 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) ) )
= $false )
| ( ( member_c_d_c_d @ SV80 @ ( pi_c_d_c_d @ SV36 @ SV114 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(845,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true )
| ( ( ! [SY477: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SY477 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) )
!= ( SY477 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SY477 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(846,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) ) )
= $true )
| ( ( ! [SY477: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SY477 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) )
!= ( SY477 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SY477 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(847,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true )
| ( ( ! [SY478: c > d] :
( ~ ( member_c_d @ SY478 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY479: c > d] :
( ~ ( member_c_d @ SY479 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SY478 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) )
!= ( SY479 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) ) ) ) )
| ( SY478 = SY479 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(848,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) ) )
= $true )
| ( ( ! [SY478: c > d] :
( ~ ( member_c_d @ SY478 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY479: c > d] :
( ~ ( member_c_d @ SY479 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SY478 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) )
!= ( SY479 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) ) ) ) )
| ( SY478 = SY479 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(849,plain,
! [SV39: set_c_d,SV83: ( c > d ) > c > d,SV115: set_c_d] :
( ( ( ~ ( member_c_d @ ( sK29_X @ SV115 @ SV83 @ SV39 ) @ SV39 ) )
= $false )
| ( ( member_c_d_c_d @ SV83
@ ( pi_c_d_c_d @ SV39
@ ^ [SY552: c > d] : SV115 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(850,plain,
! [SV39: set_c_d,SV115: set_c_d,SV83: ( c > d ) > c > d] :
( ( ( ~ ~ ( member_c_d @ ( SV83 @ ( sK29_X @ SV115 @ SV83 @ SV39 ) ) @ SV115 ) )
= $false )
| ( ( member_c_d_c_d @ SV83
@ ( pi_c_d_c_d @ SV39
@ ^ [SY552: c > d] : SV115 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(851,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( ! [SY482: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SY482 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) )
!= ( SY482 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SY482 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(852,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) ) )
= $true )
| ( ( ! [SY482: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SY482 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) )
!= ( SY482 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SY482 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(853,plain,
! [SV41: set_c_d,SV85: ( c > d ) > c > d,SV116: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 ) )
= $false )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(854,plain,
! [SV41: set_c_d,SV116: ( c > d ) > c > d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
!= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) ) ) )
= $false )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(855,plain,
! [SV42: set_c,SV86: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK7_X @ SV86 @ SV42 ) @ SV42 )
= $true )
| ( ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SV42 @ SV86 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV42 @ SV86 )
@ ^ [SY485: c > d] : ( carr_p1636662547_d_a_e @ SV42 @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(856,plain,
! [SV42: set_c,SV86: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV86 @ ( sK7_X @ SV86 @ SV42 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SV42 @ SV86 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV42 @ SV86 )
@ ^ [SY485: c > d] : ( carr_p1636662547_d_a_e @ SV42 @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(857,plain,
! [SV43: set_c,SV87: c > d,SV117: c > set_d] :
( ( ( ~ ( member_c @ ( sK6_X @ SV117 @ SV87 @ SV43 ) @ SV43 ) )
= $false )
| ( ( member_c_d @ SV87 @ ( pi_c_d @ SV43 @ SV117 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(858,plain,
! [SV43: set_c,SV117: c > set_d,SV87: c > d] :
( ( ( ~ ~ ( member_d @ ( SV87 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) @ ( SV117 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) ) )
= $false )
| ( ( member_c_d @ SV87 @ ( pi_c_d @ SV43 @ SV117 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(859,plain,
! [SV44: set_c,SV88: c > carrie1948989069_d_a_e,SV118: c > d] :
( ( ( ~ ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 ) )
= $false )
| ( ( ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[785]) ).
thf(860,plain,
! [SV44: set_c,SV118: c > d,SV88: c > carrie1948989069_d_a_e] :
( ( ( ~ ~ ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) ) )
= $false )
| ( ( ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[785]) ).
thf(861,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(862,plain,
! [SV46: set_c,SV90: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
= $true )
| ( ( ! [SY492: c > d] :
( ~ ( member_c_d @ SY492 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY493: c > d] :
( ~ ( member_c_d @ SY493 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SY492 @ SY493 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(863,plain,
! [SV46: set_c,SV90: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) ) )
= $true )
| ( ( ! [SY492: c > d] :
( ~ ( member_c_d @ SY492 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY493: c > d] :
( ~ ( member_c_d @ SY493 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SY492 @ SY493 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(864,plain,
! [SV47: set_c,SV91: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK11_X @ SV91 @ SV47 ) @ SV47 )
= $true )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV47 @ SV91 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY494: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY495: c > d] : ( carr_p1636662547_d_a_e @ SV47 @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(865,plain,
! [SV47: set_c,SV91: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV91 @ ( sK11_X @ SV91 @ SV47 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV47 @ SV91 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY494: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY495: c > d] : ( carr_p1636662547_d_a_e @ SV47 @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(866,plain,
! [SV48: set_c,SV92: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true )
| ( ( ! [SY496: c > d] :
( ~ ( member_c_d @ SY496 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY497: c > d] :
( ~ ( member_c_d @ SY497 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY496 @ SY497 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY497 @ SY496 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(867,plain,
! [SV48: set_c,SV92: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) ) )
= $true )
| ( ( ! [SY496: c > d] :
( ~ ( member_c_d @ SY496 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY497: c > d] :
( ~ ( member_c_d @ SY497 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY496 @ SY497 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY497 @ SY496 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(868,plain,
! [SV93: set_d,SV49: set_c,SV124: c > d,SV1: c > d] :
( ( ( SV1 != SV124 )
= $true )
| ( ( member_c_d @ SV124
@ ( pi_c_d @ SV49
@ ^ [SY500: c] : SV93 ) )
= $true )
| ( ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [SY498: c] : SV93 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(869,plain,
! [SV2: ( c > d ) > ( c > d ) > c > d,SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) ) )
= $true )
| ( ( ( SV2 != SV125 )
| ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(870,plain,
! [SV3: ( c > d ) > c > d,SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) ) )
= $true )
| ( ( ( SV3 != SV126 )
| ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(871,plain,
! [SV4: c > d,SV96: set_d,SV52: set_c,SV127: c > d] :
( ( ( ~ ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) ) )
= $true )
| ( ( ( SV4 != SV127 )
| ! [SY571: c] :
( ~ ( member_c @ SY571 @ SV52 )
| ( ( SV4 @ SY571 )
= ( SV127 @ SY571 ) ) ) )
= $true )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(872,plain,
! [SV5: ( c > d ) > ( c > d ) > c > d,SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) ) )
= $true )
| ( ( ( SV5 != SV128 )
| ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(873,plain,
! [SV6: ( c > d ) > c > d,SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) ) )
= $true )
| ( ( ( SV6 != SV129 )
| ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(874,plain,
! [SV7: c > d,SV99: set_d,SV55: set_c,SV130: c > d] :
( ( ( ~ ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) ) )
= $true )
| ( ( ( SV7 != SV130 )
| ! [SY577: c] :
( ~ ( member_c @ SY577 @ SV55 )
| ( ( SV7 @ SY577 )
= ( SV130 @ SY577 ) ) ) )
= $true )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(875,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( ~ ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ~ ( SV56 @ SV8 ) )
= $false )
| ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(876,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( ~ ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
| ~ ( SV56 @ SV8 ) )
= $false )
| ( ( SV56 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(877,plain,
! [SV120: set_d,SV100: set_c,SV10: ( c > d ) > c > d,SV57: set_c_d,SV136: c > d] :
( ( ( ~ ( member_c_d @ SV136 @ SV57 )
| ( member_c_d @ ( SV10 @ SV136 )
@ ( pi_c_d @ SV100
@ ^ [SY560: c] : SV120 ) ) )
= $true )
| ( ( member_c_d_c_d @ SV10
@ ( pi_c_d_c_d @ SV57
@ ^ [SY557: c > d] :
( pi_c_d @ SV100
@ ^ [SY558: c] : SV120 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(878,plain,
! [SV121: set_d,SV11: ( c > d ) > c > d,SV101: set_c,SV58: set_c_d,SV137: c > d] :
( ( ( ~ ( member_c_d @ SV137 @ SV58 )
| ! [SY581: c] :
( ~ ( member_c @ SY581 @ SV101 )
| ( member_d @ ( SV11 @ SV137 @ SY581 ) @ SV121 ) ) )
= $true )
| ( ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY561: c > d] :
( pi_c_d @ SV101
@ ^ [SY562: c] : SV121 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(879,plain,
! [SV102: set_c_d_c_d,SV59: set_c_d,SV131: ( c > d ) > ( c > d ) > c > d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( SV12 != SV131 )
= $true )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(880,plain,
! [SV103: set_c_d,SV60: set_c_d,SV132: ( c > d ) > c > d,SV13: ( c > d ) > c > d] :
( ( ( SV13 != SV132 )
= $true )
| ( ( member_c_d_c_d @ SV132
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) )
= $true )
| ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(881,plain,
! [SV104: set_d,SV15: c > d,SV61: set_c,SV133: c] :
( ( ( ~ ( member_c @ SV133 @ SV61 ) )
= $true )
| ( ( member_d @ ( SV15 @ SV133 ) @ SV104 )
= $true )
| ( ( member_c_d @ SV15
@ ( pi_c_d @ SV61
@ ^ [SY541: c] : SV104 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[806]) ).
thf(882,plain,
! [SV105: c > set_d,SV16: c > d,SV62: set_c,SV134: c] :
( ( ( ~ ( member_c @ SV134 @ SV62 ) )
= $true )
| ( ( member_d @ ( SV16 @ SV134 ) @ ( SV105 @ SV134 ) )
= $true )
| ( ( member_c_d @ SV16 @ ( pi_c_d @ SV62 @ SV105 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(883,plain,
! [SV63: set_c,SV106: c > set_d,SV135: c,SV17: c > d] :
( ( ( member_d @ ( SV17 @ SV135 ) @ ( SV106 @ SV135 ) )
= $true )
| ( ( ~ ( member_c @ SV135 @ SV63 ) )
= $true )
| ( ( member_c_d @ SV17 @ ( pi_c_d @ SV63 @ SV106 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(884,plain,
! [SV64: c > $o,SV18: c] :
( ( ( ~ ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ~ ( SV64 @ SV18 ) )
= $false )
| ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(885,plain,
! [SV64: c > $o,SV18: c] :
( ( ( ~ ( member_c @ SV18 @ ( collect_c @ SV64 ) )
| ~ ( SV64 @ SV18 ) )
= $false )
| ( ( SV64 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(886,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ~ ( SV65 @ SV19 ) )
= $false )
| ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(887,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
| ~ ( SV65 @ SV19 ) )
= $false )
| ( ( SV65 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(888,plain,
! [SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(889,plain,
! [SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
!= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $true )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(890,plain,
! [SV67: c > carrie1948989069_d_a_e,SV23: set_c,SV138: c > d] :
( ( ( ~ ( member_c_d @ SV138 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SV138 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) )
= $true )
| ( ( member_c @ ( sK8_X @ SV67 @ SV23 ) @ SV23 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(891,plain,
! [SV23: set_c,SV67: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV67 @ ( sK8_X @ SV67 @ SV23 ) ) )
= $false )
| ( ( ! [SY457: c > d] :
( ~ ( member_c_d @ SY457 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SY457 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(892,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV139: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK25_X @ SV139 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) )
!= ( SV139 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV139 ) ) )
= $true )
| ( ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(893,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) )
= $false )
| ( ( ! [SY458: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK25_X @ SY458 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) )
!= ( SY458 @ ( sK25_X @ SY458 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SY458 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(894,plain,
! [SV25: set_c,SV69: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV69 @ ( sK17_X @ SV69 @ SV25 ) ) )
= $false )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV25 @ SV69 ) @ ( carr_p1636662547_d_a_e @ SV25 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(895,plain,
! [SV26: set_c,SV70: c > d,SV108: c > d] :
( ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true )
| ( ( ! [SY546: c > set_d] :
( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SY546 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(896,plain,
! [SV26: set_c,SV108: c > d,SV70: c > d] :
( ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
!= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $true )
| ( ( ! [SY546: c > set_d] :
( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SY546 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(897,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(898,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d] :
( ( ( ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(899,plain,
! [SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV140: c > d] :
( ( ( ~ ( member_c_d @ SV140 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY582: c > d] :
( ~ ( member_c_d @ SY582 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV140 @ SY582 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) )
= $true )
| ( ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(900,plain,
! [SV28: set_c,SV72: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) )
= $false )
| ( ( ! [SY463: c > d] :
( ~ ( member_c_d @ SY463 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY464: c > d] :
( ~ ( member_c_d @ SY464 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SY463 @ SY464 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(901,plain,
! [SV29: set_c,SV73: c > carrie1948989069_d_a_e,SV110: c > d] :
( ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true )
| ( ( ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(902,plain,
! [SV29: set_c,SV110: c > d,SV73: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) ) )
= $true )
| ( ( ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(903,plain,
! [SV30: set_c,SV74: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV74 @ ( sK2_X @ SV74 @ SV30 ) ) )
= $false )
| ( ( member_c_d @ ( prod_z1214987823_d_a_e @ SV30 @ SV74 ) @ ( carr_d56066307_d_a_e @ SV30 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(904,plain,
! [SV31: set_c,SV75: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV75 @ ( sK5_X @ SV75 @ SV31 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV31 @ SV75 )
@ ( pi_c_d_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY468: c > d] :
( pi_c_d_c_d @ ( carr_d56066307_d_a_e @ SV31 @ SV75 )
@ ^ [SY469: c > d] : ( carr_d56066307_d_a_e @ SV31 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(905,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV141: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
!= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) ) )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(906,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false )
| ( ( ! [SY470: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK23_X @ SY470 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) )
!= ( SY470 @ ( sK23_X @ SY470 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SY470 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(907,plain,
! [SV122: c > d] :
( ( ( ! [SV142: c] :
( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SV122 @ SV142 )
= ( SV122 @ SV142 ) ) )
= $true )
| ( ( member_c_d @ SV122 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[835]) ).
thf(908,plain,
! [SV122: c > d] :
( ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SV122 )
= SV122 )
= $true )
| ( ( member_c_d @ SV122 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[835]) ).
thf(909,plain,
( ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(910,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[838]) ).
thf(911,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d] :
( ( ( ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[838]) ).
thf(912,plain,
! [SV34: set_c,SV78: c > d,SV112: set_d] :
( ( ( member_c @ ( sK12_X @ SV112 @ SV78 @ SV34 ) @ SV34 )
= $true )
| ( ( member_c_d @ SV78
@ ( pi_c_d @ SV34
@ ^ [SY551: c] : SV112 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(913,plain,
! [SV34: set_c,SV112: set_d,SV78: c > d] :
( ( ( ~ ( member_d @ ( SV78 @ ( sK12_X @ SV112 @ SV78 @ SV34 ) ) @ SV112 ) )
= $true )
| ( ( member_c_d @ SV78
@ ( pi_c_d @ SV34
@ ^ [SY551: c] : SV112 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[840]) ).
thf(914,plain,
! [SV35: set_c,SV79: c > d,SV113: c > set_d] :
( ( ( member_c @ ( sK13_X @ SV113 @ SV79 @ SV35 ) @ SV35 )
= $true )
| ( ( member_c_d @ SV79 @ ( pi_c_d @ SV35 @ SV113 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(915,plain,
! [SV35: set_c,SV113: c > set_d,SV79: c > d] :
( ( ( ~ ( member_d @ ( SV79 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) @ ( SV113 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) ) )
= $true )
| ( ( member_c_d @ SV79 @ ( pi_c_d @ SV35 @ SV113 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(916,plain,
! [SV36: set_c_d,SV80: ( c > d ) > c > d,SV114: ( c > d ) > set_c_d] :
( ( ( member_c_d @ ( sK30_X @ SV114 @ SV80 @ SV36 ) @ SV36 )
= $true )
| ( ( member_c_d_c_d @ SV80 @ ( pi_c_d_c_d @ SV36 @ SV114 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(917,plain,
! [SV36: set_c_d,SV114: ( c > d ) > set_c_d,SV80: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d @ ( SV80 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) @ ( SV114 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV80 @ ( pi_c_d_c_d @ SV36 @ SV114 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(918,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV143: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK21_X @ SV143 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) )
!= ( SV143 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) ) )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(919,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false )
| ( ( ! [SY477: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK21_X @ SY477 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) )
!= ( SY477 @ ( sK21_X @ SY477 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SY477 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(920,plain,
! [SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV144: c > d] :
( ( ( ~ ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY583: c > d] :
( ~ ( member_c_d @ SY583 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY583 @ SV144 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV144 @ ( sK27_X @ SY583 @ SV144 @ SV82 @ SV38 ) )
!= ( SY583 @ ( sK27_X @ SY583 @ SV144 @ SV82 @ SV38 ) ) ) ) )
| ( SV144 = SY583 ) ) )
= $true )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(921,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false )
| ( ( ! [SY478: c > d] :
( ~ ( member_c_d @ SY478 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY479: c > d] :
( ~ ( member_c_d @ SY479 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SY478 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) )
!= ( SY479 @ ( sK27_X @ SY479 @ SY478 @ SV82 @ SV38 ) ) ) ) )
| ( SY478 = SY479 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(922,plain,
! [SV39: set_c_d,SV83: ( c > d ) > c > d,SV115: set_c_d] :
( ( ( member_c_d @ ( sK29_X @ SV115 @ SV83 @ SV39 ) @ SV39 )
= $true )
| ( ( member_c_d_c_d @ SV83
@ ( pi_c_d_c_d @ SV39
@ ^ [SY552: c > d] : SV115 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[849]) ).
thf(923,plain,
! [SV39: set_c_d,SV115: set_c_d,SV83: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d @ ( SV83 @ ( sK29_X @ SV115 @ SV83 @ SV39 ) ) @ SV115 ) )
= $true )
| ( ( member_c_d_c_d @ SV83
@ ( pi_c_d_c_d @ SV39
@ ^ [SY552: c > d] : SV115 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(924,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV145: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
!= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) ) )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(925,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false )
| ( ( ! [SY482: c > carrie1948989069_d_a_e] :
( ~ ( ~ ( member_c @ ( sK9_X @ SY482 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) )
!= ( SY482 @ ( sK9_X @ SY482 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SY482 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(926,plain,
! [SV41: set_c_d,SV85: ( c > d ) > c > d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[853]) ).
thf(927,plain,
! [SV41: set_c_d,SV116: ( c > d ) > c > d,SV85: ( c > d ) > c > d] :
( ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
!= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $true )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(928,plain,
! [SV42: set_c,SV86: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV86 @ ( sK7_X @ SV86 @ SV42 ) ) )
= $false )
| ( ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ SV42 @ SV86 )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV42 @ SV86 )
@ ^ [SY485: c > d] : ( carr_p1636662547_d_a_e @ SV42 @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(929,plain,
! [SV43: set_c,SV87: c > d,SV117: c > set_d] :
( ( ( member_c @ ( sK6_X @ SV117 @ SV87 @ SV43 ) @ SV43 )
= $true )
| ( ( member_c_d @ SV87 @ ( pi_c_d @ SV43 @ SV117 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(930,plain,
! [SV43: set_c,SV117: c > set_d,SV87: c > d] :
( ( ( ~ ( member_d @ ( SV87 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) @ ( SV117 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) ) )
= $true )
| ( ( member_c_d @ SV87 @ ( pi_c_d @ SV43 @ SV117 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(931,plain,
! [SV44: set_c,SV88: c > carrie1948989069_d_a_e,SV118: c > d] :
( ( ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
= $true )
| ( ( ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(932,plain,
! [SV44: set_c,SV118: c > d,SV88: c > carrie1948989069_d_a_e] :
( ( ( ~ ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) ) )
= $true )
| ( ( ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(933,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(934,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c] :
( ( ( ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(935,plain,
! [SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV146: c > d] :
( ( ( ~ ( member_c_d @ SV146 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY584: c > d] :
( ~ ( member_c_d @ SY584 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV146 @ SY584 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) )
= $true )
| ( ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(936,plain,
! [SV46: set_c,SV90: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) )
= $false )
| ( ( ! [SY492: c > d] :
( ~ ( member_c_d @ SY492 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY493: c > d] :
( ~ ( member_c_d @ SY493 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SY492 @ SY493 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(937,plain,
! [SV47: set_c,SV91: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV91 @ ( sK11_X @ SV91 @ SV47 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ SV47 @ SV91 )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY494: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ SV47 @ SV91 )
@ ^ [SY495: c > d] : ( carr_p1636662547_d_a_e @ SV47 @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(938,plain,
! [SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV147: c > d] :
( ( ( ~ ( member_c_d @ SV147 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY585: c > d] :
( ~ ( member_c_d @ SY585 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV147 @ SY585 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY585 @ SV147 ) ) ) )
= $true )
| ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(939,plain,
! [SV48: set_c,SV92: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false )
| ( ( ! [SY496: c > d] :
( ~ ( member_c_d @ SY496 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY497: c > d] :
( ~ ( member_c_d @ SY497 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY496 @ SY497 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY497 @ SY496 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(940,plain,
! [SV93: set_d,SV49: set_c,SV124: c > d,SV1: c > d] :
( ( ( SV1 = SV124 )
= $false )
| ( ( member_c_d @ SV124
@ ( pi_c_d @ SV49
@ ^ [SY500: c] : SV93 ) )
= $true )
| ( ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [SY498: c] : SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(941,plain,
! [SV2: ( c > d ) > ( c > d ) > c > d,SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( ( SV2 != SV125 )
| ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(942,plain,
! [SV3: ( c > d ) > c > d,SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( ( SV3 != SV126 )
| ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(943,plain,
! [SV4: c > d,SV96: set_d,SV52: set_c,SV127: c > d] :
( ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( ( SV4 != SV127 )
| ! [SY571: c] :
( ~ ( member_c @ SY571 @ SV52 )
| ( ( SV4 @ SY571 )
= ( SV127 @ SY571 ) ) ) )
= $true )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(944,plain,
! [SV5: ( c > d ) > ( c > d ) > c > d,SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( ( SV5 != SV128 )
| ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(945,plain,
! [SV6: ( c > d ) > c > d,SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( ( SV6 != SV129 )
| ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(946,plain,
! [SV7: c > d,SV99: set_d,SV55: set_c,SV130: c > d] :
( ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( ( SV7 != SV130 )
| ! [SY577: c] :
( ~ ( member_c @ SY577 @ SV55 )
| ( ( SV7 @ SY577 )
= ( SV130 @ SY577 ) ) ) )
= $true )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(947,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( ~ ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) ) )
= $false )
| ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(948,plain,
! [SV8: c > d,SV56: ( c > d ) > $o] :
( ( ( ~ ( SV56 @ SV8 ) )
= $false )
| ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(949,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( ~ ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) ) )
= $false )
| ( ( SV56 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(950,plain,
! [SV8: c > d,SV56: ( c > d ) > $o] :
( ( ( ~ ( SV56 @ SV8 ) )
= $false )
| ( ( SV56 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(951,plain,
! [SV120: set_d,SV100: set_c,SV10: ( c > d ) > c > d,SV57: set_c_d,SV136: c > d] :
( ( ( ~ ( member_c_d @ SV136 @ SV57 ) )
= $true )
| ( ( member_c_d @ ( SV10 @ SV136 )
@ ( pi_c_d @ SV100
@ ^ [SY560: c] : SV120 ) )
= $true )
| ( ( member_c_d_c_d @ SV10
@ ( pi_c_d_c_d @ SV57
@ ^ [SY557: c > d] :
( pi_c_d @ SV100
@ ^ [SY558: c] : SV120 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(952,plain,
! [SV121: set_d,SV11: ( c > d ) > c > d,SV101: set_c,SV58: set_c_d,SV137: c > d] :
( ( ( ~ ( member_c_d @ SV137 @ SV58 ) )
= $true )
| ( ( ! [SY581: c] :
( ~ ( member_c @ SY581 @ SV101 )
| ( member_d @ ( SV11 @ SV137 @ SY581 ) @ SV121 ) ) )
= $true )
| ( ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY561: c > d] :
( pi_c_d @ SV101
@ ^ [SY562: c] : SV121 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(953,plain,
! [SV102: set_c_d_c_d,SV59: set_c_d,SV131: ( c > d ) > ( c > d ) > c > d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( SV12 = SV131 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(954,plain,
! [SV103: set_c_d,SV60: set_c_d,SV132: ( c > d ) > c > d,SV13: ( c > d ) > c > d] :
( ( ( SV13 = SV132 )
= $false )
| ( ( member_c_d_c_d @ SV132
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) )
= $true )
| ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(955,plain,
! [SV104: set_d,SV15: c > d,SV61: set_c,SV133: c] :
( ( ( member_c @ SV133 @ SV61 )
= $false )
| ( ( member_d @ ( SV15 @ SV133 ) @ SV104 )
= $true )
| ( ( member_c_d @ SV15
@ ( pi_c_d @ SV61
@ ^ [SY541: c] : SV104 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(956,plain,
! [SV105: c > set_d,SV16: c > d,SV62: set_c,SV134: c] :
( ( ( member_c @ SV134 @ SV62 )
= $false )
| ( ( member_d @ ( SV16 @ SV134 ) @ ( SV105 @ SV134 ) )
= $true )
| ( ( member_c_d @ SV16 @ ( pi_c_d @ SV62 @ SV105 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(957,plain,
! [SV106: c > set_d,SV17: c > d,SV63: set_c,SV135: c] :
( ( ( member_c @ SV135 @ SV63 )
= $false )
| ( ( member_d @ ( SV17 @ SV135 ) @ ( SV106 @ SV135 ) )
= $true )
| ( ( member_c_d @ SV17 @ ( pi_c_d @ SV63 @ SV106 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(958,plain,
! [SV64: c > $o,SV18: c] :
( ( ( ~ ( member_c @ SV18 @ ( collect_c @ SV64 ) ) )
= $false )
| ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(959,plain,
! [SV18: c,SV64: c > $o] :
( ( ( ~ ( SV64 @ SV18 ) )
= $false )
| ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(960,plain,
! [SV64: c > $o,SV18: c] :
( ( ( ~ ( member_c @ SV18 @ ( collect_c @ SV64 ) ) )
= $false )
| ( ( SV64 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(961,plain,
! [SV18: c,SV64: c > $o] :
( ( ( ~ ( SV64 @ SV18 ) )
= $false )
| ( ( SV64 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(962,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(963,plain,
! [SV19: ( c > d ) > c > d,SV65: ( ( c > d ) > c > d ) > $o] :
( ( ( ~ ( SV65 @ SV19 ) )
= $false )
| ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(964,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) ) )
= $false )
| ( ( SV65 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(965,plain,
! [SV19: ( c > d ) > c > d,SV65: ( ( c > d ) > c > d ) > $o] :
( ( ( ~ ( SV65 @ SV19 ) )
= $false )
| ( ( SV65 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(966,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
= $true )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(967,plain,
! [SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(968,plain,
! [SV67: c > carrie1948989069_d_a_e,SV23: set_c,SV138: c > d] :
( ( ( ~ ( member_c_d @ SV138 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) )
= $true )
| ( ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SV138 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
= $true )
| ( ( member_c @ ( sK8_X @ SV67 @ SV23 ) @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(969,plain,
! [SV67: c > carrie1948989069_d_a_e,SV23: set_c,SV149: c > d] :
( ( ( ~ ( member_c_d @ SV149 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
| ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SV149 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV67 @ ( sK8_X @ SV67 @ SV23 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(970,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV139: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK25_X @ SV139 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) )
!= ( SV139 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) ) ) ) ) )
= $true )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV139 ) )
= $true )
| ( ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(971,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV150: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK25_X @ SV150 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) )
!= ( SV150 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) ) ) ) )
| ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV150 ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(972,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) )
= $true )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(973,plain,
! [SV26: set_c,SV108: c > d,SV70: c > d] :
( ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false )
| ( ( ! [SY546: c > set_d] :
( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SY546 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(974,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $false )
| ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(975,plain,
! [SV71: set_c_d,SV27: ( c > d ) > c > d,SV109: ( c > d ) > set_c_d] :
( ( ( ~ ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
| ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[898]) ).
thf(976,plain,
! [SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV140: c > d] :
( ( ( ~ ( member_c_d @ SV140 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) )
= $true )
| ( ( ! [SY582: c > d] :
( ~ ( member_c_d @ SY582 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV140 @ SY582 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) )
= $true )
| ( ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(977,plain,
! [SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV152: c > d] :
( ( ( ~ ( member_c_d @ SV152 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ! [SY586: c > d] :
( ~ ( member_c_d @ SY586 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV152 @ SY586 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[900]) ).
thf(978,plain,
! [SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV110: c > d] :
( ( ( ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) ) )
= $true )
| ( ( ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(979,plain,
! [SV29: set_c,SV110: c > d,SV73: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false )
| ( ( ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(980,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV141: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
!= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) ) ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(981,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV153: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
!= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) ) ) )
| ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(982,plain,
! [SV154: c,SV122: c > d] :
( ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ SV122 @ SV154 )
= ( SV122 @ SV154 ) )
= $true )
| ( ( member_c_d @ SV122 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(983,plain,
( ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(984,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(985,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(986,plain,
! [SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV111: ( c > d ) > set_c_d_c_d] :
( ( ( ~ ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[911]) ).
thf(987,plain,
! [SV34: set_c,SV112: set_d,SV78: c > d] :
( ( ( member_d @ ( SV78 @ ( sK12_X @ SV112 @ SV78 @ SV34 ) ) @ SV112 )
= $false )
| ( ( member_c_d @ SV78
@ ( pi_c_d @ SV34
@ ^ [SY551: c] : SV112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(988,plain,
! [SV35: set_c,SV113: c > set_d,SV79: c > d] :
( ( ( member_d @ ( SV79 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) @ ( SV113 @ ( sK13_X @ SV113 @ SV79 @ SV35 ) ) )
= $false )
| ( ( member_c_d @ SV79 @ ( pi_c_d @ SV35 @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(989,plain,
! [SV36: set_c_d,SV114: ( c > d ) > set_c_d,SV80: ( c > d ) > c > d] :
( ( ( member_c_d @ ( SV80 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) @ ( SV114 @ ( sK30_X @ SV114 @ SV80 @ SV36 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV80 @ ( pi_c_d_c_d @ SV36 @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(990,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV143: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK21_X @ SV143 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) )
!= ( SV143 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) ) ) ) ) )
= $true )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(991,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV155: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK21_X @ SV155 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) )
!= ( SV155 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) ) ) ) )
| ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(992,plain,
! [SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV144: c > d] :
( ( ( ~ ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) ) )
= $true )
| ( ( ! [SY583: c > d] :
( ~ ( member_c_d @ SY583 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY583 @ SV144 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV144 @ ( sK27_X @ SY583 @ SV144 @ SV82 @ SV38 ) )
!= ( SY583 @ ( sK27_X @ SY583 @ SV144 @ SV82 @ SV38 ) ) ) ) )
| ( SV144 = SY583 ) ) )
= $true )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(993,plain,
! [SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV156: c > d] :
( ( ( ~ ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ! [SY587: c > d] :
( ~ ( member_c_d @ SY587 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY587 @ SV156 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV156 @ ( sK27_X @ SY587 @ SV156 @ SV82 @ SV38 ) )
!= ( SY587 @ ( sK27_X @ SY587 @ SV156 @ SV82 @ SV38 ) ) ) ) )
| ( SV156 = SY587 ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(994,plain,
! [SV39: set_c_d,SV115: set_c_d,SV83: ( c > d ) > c > d] :
( ( ( member_c_d @ ( SV83 @ ( sK29_X @ SV115 @ SV83 @ SV39 ) ) @ SV115 )
= $false )
| ( ( member_c_d_c_d @ SV83
@ ( pi_c_d_c_d @ SV39
@ ^ [SY552: c > d] : SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(995,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV145: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
!= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) ) ) ) )
= $true )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(996,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV157: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
!= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) ) ) )
| ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(997,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
= $true )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(998,plain,
! [SV41: set_c_d,SV116: ( c > d ) > c > d,SV85: ( c > d ) > c > d] :
( ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(999,plain,
! [SV43: set_c,SV117: c > set_d,SV87: c > d] :
( ( ( member_d @ ( SV87 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) @ ( SV117 @ ( sK6_X @ SV117 @ SV87 @ SV43 ) ) )
= $false )
| ( ( member_c_d @ SV87 @ ( pi_c_d @ SV43 @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(1000,plain,
! [SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV118: c > d] :
( ( ( ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) ) )
= $true )
| ( ( ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true )
| ( ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(1001,plain,
! [SV44: set_c,SV118: c > d,SV88: c > carrie1948989069_d_a_e] :
( ( ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) )
= $false )
| ( ( ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(1002,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $false )
| ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1003,plain,
! [SV89: set_c,SV45: c > d,SV119: c > set_d] :
( ( ( ~ ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
| ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[934]) ).
thf(1004,plain,
! [SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV146: c > d] :
( ( ( ~ ( member_c_d @ SV146 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) )
= $true )
| ( ( ! [SY584: c > d] :
( ~ ( member_c_d @ SY584 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV146 @ SY584 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) )
= $true )
| ( ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(1005,plain,
! [SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV159: c > d] :
( ( ( ~ ( member_c_d @ SV159 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ! [SY588: c > d] :
( ~ ( member_c_d @ SY588 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV159 @ SY588 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1006,plain,
! [SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV147: c > d] :
( ( ( ~ ( member_c_d @ SV147 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) ) )
= $true )
| ( ( ! [SY585: c > d] :
( ~ ( member_c_d @ SY585 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV147 @ SY585 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY585 @ SV147 ) ) ) )
= $true )
| ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(1007,plain,
! [SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV160: c > d] :
( ( ( ~ ( member_c_d @ SV160 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ! [SY589: c > d] :
( ~ ( member_c_d @ SY589 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV160 @ SY589 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY589 @ SV160 ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1008,plain,
! [SV93: set_d,SV49: set_c,SV124: c > d,SV1: c > d] :
( ( ( ! [SV161: c] :
( ( SV1 @ SV161 )
= ( SV124 @ SV161 ) ) )
= $false )
| ( ( member_c_d @ SV124
@ ( pi_c_d @ SV49
@ ^ [SY500: c] : SV93 ) )
= $true )
| ( ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [SY498: c] : SV93 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[940]) ).
thf(1009,plain,
! [SV93: set_d,SV49: set_c,SV124: c > d,SV1: c > d] :
( ( ( SV1 = SV124 )
= $false )
| ( ( member_c_d @ SV124
@ ( pi_c_d @ SV49
@ ^ [SY500: c] : SV93 ) )
= $true )
| ( ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [SY498: c] : SV93 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[940]) ).
thf(1010,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( SV2 != SV125 )
= $true )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1011,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d] :
( ( ( SV3 != SV126 )
= $true )
| ( ( ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(1012,plain,
! [SV96: set_d,SV52: set_c,SV127: c > d,SV4: c > d] :
( ( ( SV4 != SV127 )
= $true )
| ( ( ! [SY571: c] :
( ~ ( member_c @ SY571 @ SV52 )
| ( ( SV4 @ SY571 )
= ( SV127 @ SY571 ) ) ) )
= $true )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(1013,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( SV5 != SV128 )
= $true )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(1014,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d] :
( ( ( SV6 != SV129 )
= $true )
| ( ( ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(1015,plain,
! [SV99: set_d,SV55: set_c,SV130: c > d,SV7: c > d] :
( ( ( SV7 != SV130 )
= $true )
| ( ( ! [SY577: c] :
( ~ ( member_c @ SY577 @ SV55 )
| ( ( SV7 @ SY577 )
= ( SV130 @ SY577 ) ) ) )
= $true )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(1016,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= $true )
| ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[947]) ).
thf(1017,plain,
! [SV8: c > d,SV56: ( c > d ) > $o] :
( ( ( SV56 @ SV8 )
= $true )
| ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(1018,plain,
! [SV56: ( c > d ) > $o,SV8: c > d] :
( ( ( member_c_d @ SV8 @ ( collect_c_d @ SV56 ) )
= $true )
| ( ( SV56 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(1019,plain,
! [SV8: c > d,SV56: ( c > d ) > $o] :
( ( ( SV56 @ SV8 )
= $true )
| ( ( SV56 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(1020,plain,
! [SV120: set_d,SV100: set_c,SV10: ( c > d ) > c > d,SV57: set_c_d,SV136: c > d] :
( ( ( member_c_d @ SV136 @ SV57 )
= $false )
| ( ( member_c_d @ ( SV10 @ SV136 )
@ ( pi_c_d @ SV100
@ ^ [SY560: c] : SV120 ) )
= $true )
| ( ( member_c_d_c_d @ SV10
@ ( pi_c_d_c_d @ SV57
@ ^ [SY557: c > d] :
( pi_c_d @ SV100
@ ^ [SY558: c] : SV120 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(1021,plain,
! [SV121: set_d,SV11: ( c > d ) > c > d,SV101: set_c,SV58: set_c_d,SV137: c > d] :
( ( ( member_c_d @ SV137 @ SV58 )
= $false )
| ( ( ! [SY581: c] :
( ~ ( member_c @ SY581 @ SV101 )
| ( member_d @ ( SV11 @ SV137 @ SY581 ) @ SV121 ) ) )
= $true )
| ( ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY561: c > d] :
( pi_c_d @ SV101
@ ^ [SY562: c] : SV121 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(1022,plain,
! [SV102: set_c_d_c_d,SV59: set_c_d,SV131: ( c > d ) > ( c > d ) > c > d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV162: c > d] :
( ( SV12 @ SV162 )
= ( SV131 @ SV162 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[953]) ).
thf(1023,plain,
! [SV102: set_c_d_c_d,SV59: set_c_d,SV131: ( c > d ) > ( c > d ) > c > d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( SV12 = SV131 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[953]) ).
thf(1024,plain,
! [SV103: set_c_d,SV60: set_c_d,SV132: ( c > d ) > c > d,SV13: ( c > d ) > c > d] :
( ( ( ! [SV163: c > d] :
( ( SV13 @ SV163 )
= ( SV132 @ SV163 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV132
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) )
= $true )
| ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[954]) ).
thf(1025,plain,
! [SV103: set_c_d,SV60: set_c_d,SV132: ( c > d ) > c > d,SV13: ( c > d ) > c > d] :
( ( ( SV13 = SV132 )
= $false )
| ( ( member_c_d_c_d @ SV132
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) )
= $true )
| ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[954]) ).
thf(1026,plain,
! [SV64: c > $o,SV18: c] :
( ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= $true )
| ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(1027,plain,
! [SV18: c,SV64: c > $o] :
( ( ( SV64 @ SV18 )
= $true )
| ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[959]) ).
thf(1028,plain,
! [SV64: c > $o,SV18: c] :
( ( ( member_c @ SV18 @ ( collect_c @ SV64 ) )
= $true )
| ( ( SV64 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[960]) ).
thf(1029,plain,
! [SV18: c,SV64: c > $o] :
( ( ( SV64 @ SV18 )
= $true )
| ( ( SV64 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1030,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= $true )
| ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1031,plain,
! [SV19: ( c > d ) > c > d,SV65: ( ( c > d ) > c > d ) > $o] :
( ( ( SV65 @ SV19 )
= $true )
| ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(1032,plain,
! [SV65: ( ( c > d ) > c > d ) > $o,SV19: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV19 @ ( collect_c_d_c_d @ SV65 ) )
= $true )
| ( ( SV65 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(1033,plain,
! [SV19: ( c > d ) > c > d,SV65: ( ( c > d ) > c > d ) > $o] :
( ( ( SV65 @ SV19 )
= $true )
| ( ( SV65 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1034,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
| ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[966]) ).
thf(1035,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
= $true )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[966]) ).
thf(1036,plain,
! [SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV164: c > d] :
( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV164 )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV164 ) ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[967]) ).
thf(1037,plain,
! [SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[967]) ).
thf(1038,plain,
! [SV67: c > carrie1948989069_d_a_e,SV23: set_c,SV138: c > d] :
( ( ( member_c_d @ SV138 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
= $false )
| ( ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SV138 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
= $true )
| ( ( member_c @ ( sK8_X @ SV67 @ SV23 ) @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1039,plain,
! [SV67: c > carrie1948989069_d_a_e,SV23: set_c,SV149: c > d] :
( ( ( ~ ( member_c_d @ SV149 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) ) )
= $true )
| ( ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SV149 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV67 @ ( sK8_X @ SV67 @ SV23 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(1040,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV139: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK25_X @ SV139 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) )
!= ( SV139 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) ) ) ) )
= $false )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV139 ) )
= $true )
| ( ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1041,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV150: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK25_X @ SV150 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) )
!= ( SV150 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) ) ) ) ) )
= $true )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV150 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(1042,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) )
| ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) ) )
= $true )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1043,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) )
= $true )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1044,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) )
= $true )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1045,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1046,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d] :
( ( ( ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $false )
| ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1047,plain,
! [SV71: set_c_d,SV27: ( c > d ) > c > d,SV109: ( c > d ) > set_c_d] :
( ( ( ~ ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(1048,plain,
! [SV71: set_c_d,SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d] :
( ( ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(1049,plain,
! [SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV140: c > d] :
( ( ( member_c_d @ SV140 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( ! [SY582: c > d] :
( ~ ( member_c_d @ SY582 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV140 @ SY582 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) )
= $true )
| ( ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1050,plain,
! [SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV152: c > d] :
( ( ( ~ ( member_c_d @ SV152 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) )
= $true )
| ( ( ! [SY586: c > d] :
( ~ ( member_c_d @ SY586 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV152 @ SY586 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1051,plain,
! [SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV110: c > d] :
( ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1052,plain,
! [SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV110: c > d] :
( ( ( ~ ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) ) )
= $true )
| ( ( ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1053,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV141: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
!= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) ) ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1054,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV153: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
!= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) ) ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1055,plain,
( ( ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SX0 ) @ SX0 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(1056,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1057,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1058,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d] :
( ( ( ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1059,plain,
! [SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV111: ( c > d ) > set_c_d_c_d] :
( ( ( ~ ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1060,plain,
! [SV77: set_c_d,SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1061,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV143: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK21_X @ SV143 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) )
!= ( SV143 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) ) ) ) )
= $false )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1062,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV155: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK21_X @ SV155 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) )
!= ( SV155 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) ) ) ) ) )
= $true )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1063,plain,
! [SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV144: c > d] :
( ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( ! [SY583: c > d] :
( ~ ( member_c_d @ SY583 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY583 @ SV144 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV144 @ ( sK27_X @ SY583 @ SV144 @ SV82 @ SV38 ) )
!= ( SY583 @ ( sK27_X @ SY583 @ SV144 @ SV82 @ SV38 ) ) ) ) )
| ( SV144 = SY583 ) ) )
= $true )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1064,plain,
! [SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV156: c > d] :
( ( ( ~ ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) ) )
= $true )
| ( ( ! [SY587: c > d] :
( ~ ( member_c_d @ SY587 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY587 @ SV156 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV156 @ ( sK27_X @ SY587 @ SV156 @ SV82 @ SV38 ) )
!= ( SY587 @ ( sK27_X @ SY587 @ SV156 @ SV82 @ SV38 ) ) ) ) )
| ( SV156 = SY587 ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[993]) ).
thf(1065,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV145: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
!= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) ) ) )
= $false )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1066,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV157: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ~ ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
!= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) ) ) ) )
= $true )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[996]) ).
thf(1067,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
| ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[997]) ).
thf(1068,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
= $true )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[997]) ).
thf(1069,plain,
! [SV41: set_c_d,SV116: ( c > d ) > c > d,SV85: ( c > d ) > c > d] :
( ( ( ! [SV166: c] :
( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV166 )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV166 ) ) )
= $false )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[998]) ).
thf(1070,plain,
! [SV41: set_c_d,SV116: ( c > d ) > c > d,SV85: ( c > d ) > c > d] :
( ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[998]) ).
thf(1071,plain,
! [SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV118: c > d] :
( ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true )
| ( ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1072,plain,
! [SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV118: c > d] :
( ( ( ~ ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) ) )
= $true )
| ( ( ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1073,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) ) )
= $false )
| ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1074,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c] :
( ( ( ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $false )
| ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1075,plain,
! [SV89: set_c,SV45: c > d,SV119: c > set_d] :
( ( ( ~ ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1076,plain,
! [SV89: set_c,SV119: c > set_d,SV45: c > d] :
( ( ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1077,plain,
! [SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV146: c > d] :
( ( ( member_c_d @ SV146 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( ! [SY584: c > d] :
( ~ ( member_c_d @ SY584 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV146 @ SY584 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) )
= $true )
| ( ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1078,plain,
! [SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV159: c > d] :
( ( ( ~ ( member_c_d @ SV159 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) )
= $true )
| ( ( ! [SY588: c > d] :
( ~ ( member_c_d @ SY588 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV159 @ SY588 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1079,plain,
! [SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV147: c > d] :
( ( ( member_c_d @ SV147 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( ! [SY585: c > d] :
( ~ ( member_c_d @ SY585 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV147 @ SY585 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY585 @ SV147 ) ) ) )
= $true )
| ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1080,plain,
! [SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV160: c > d] :
( ( ( ~ ( member_c_d @ SV160 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) ) )
= $true )
| ( ( ! [SY589: c > d] :
( ~ ( member_c_d @ SY589 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV160 @ SY589 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY589 @ SV160 ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1081,plain,
! [SV124: c > d,SV49: set_c,SV93: set_d,SV1: c > d] :
( ( ( ( SV1 @ ( sK35_SV161 @ SV93 @ SV49 @ SV124 @ SV1 ) )
= ( SV124 @ ( sK35_SV161 @ SV93 @ SV49 @ SV124 @ SV1 ) ) )
= $false )
| ( ( member_c_d @ SV124
@ ( pi_c_d @ SV49
@ ^ [SY500: c] : SV93 ) )
= $true )
| ( ( member_c_d @ SV1
@ ( pi_c_d @ SV49
@ ^ [SY498: c] : SV93 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1008]) ).
thf(1082,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( SV2 = SV125 )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1083,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d] :
( ( ( SV3 = SV126 )
= $false )
| ( ( ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1084,plain,
! [SV96: set_d,SV52: set_c,SV127: c > d,SV4: c > d] :
( ( ( SV4 = SV127 )
= $false )
| ( ( ! [SY571: c] :
( ~ ( member_c @ SY571 @ SV52 )
| ( ( SV4 @ SY571 )
= ( SV127 @ SY571 ) ) ) )
= $true )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1085,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( SV5 = SV128 )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1086,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d] :
( ( ( SV6 = SV129 )
= $false )
| ( ( ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1087,plain,
! [SV99: set_d,SV55: set_c,SV130: c > d,SV7: c > d] :
( ( ( SV7 = SV130 )
= $false )
| ( ( ! [SY577: c] :
( ~ ( member_c @ SY577 @ SV55 )
| ( ( SV7 @ SY577 )
= ( SV130 @ SY577 ) ) ) )
= $true )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1088,plain,
! [SV58: set_c_d,SV121: set_d,SV137: c > d,SV11: ( c > d ) > c > d,SV101: set_c,SV167: c] :
( ( ( ~ ( member_c @ SV167 @ SV101 )
| ( member_d @ ( SV11 @ SV137 @ SV167 ) @ SV121 ) )
= $true )
| ( ( member_c_d @ SV137 @ SV58 )
= $false )
| ( ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY561: c > d] :
( pi_c_d @ SV101
@ ^ [SY562: c] : SV121 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1089,plain,
! [SV131: ( c > d ) > ( c > d ) > c > d,SV59: set_c_d,SV102: set_c_d_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV12 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) )
= ( SV131 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1022]) ).
thf(1090,plain,
! [SV132: ( c > d ) > c > d,SV60: set_c_d,SV103: set_c_d,SV13: ( c > d ) > c > d] :
( ( ( ( SV13 @ ( sK37_SV163 @ SV103 @ SV60 @ SV132 @ SV13 ) )
= ( SV132 @ ( sK37_SV163 @ SV103 @ SV60 @ SV132 @ SV13 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV132
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) )
= $true )
| ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1024]) ).
thf(1091,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1092,plain,
! [SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1036]) ).
thf(1093,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1094,plain,
! [SV67: c > carrie1948989069_d_a_e,SV23: set_c,SV149: c > d] :
( ( ( member_c_d @ SV149 @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
= $false )
| ( ( member_c_d @ ( prod_m854557927_d_a_e @ SV23 @ SV67 @ SV149 ) @ ( carr_p1636662547_d_a_e @ SV23 @ SV67 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV67 @ ( sK8_X @ SV67 @ SV23 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1095,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV139: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK25_X @ SV139 @ SV68 @ SV24 ) @ SV24 ) )
= $false )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV139 ) )
= $true )
| ( ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1096,plain,
! [SV24: set_c,SV139: c > carrie1948989069_d_a_e,SV68: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ( ( SV68 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) )
!= ( SV139 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) ) ) ) )
= $false )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV139 ) )
= $true )
| ( ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1097,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV150: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK25_X @ SV150 @ SV68 @ SV24 ) @ SV24 )
| ~ ( ( ( SV68 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) )
!= ( SV150 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) ) ) ) )
= $false )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV150 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1098,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) ) )
= $true )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1099,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) )
| ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) ) )
= $true )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1044]) ).
thf(1100,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) )
= $true )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1044]) ).
thf(1101,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $true )
| ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1102,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d] :
( ( ( ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1103,plain,
! [SV71: set_c_d,SV27: ( c > d ) > c > d,SV109: ( c > d ) > set_c_d] :
( ( ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1104,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $false )
| ( ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1105,plain,
! [SV140: c > d,SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV169: c > d] :
( ( ( ~ ( member_c_d @ SV169 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV140 @ SV169 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) )
= $true )
| ( ( member_c_d @ SV140 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1106,plain,
! [SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV152: c > d] :
( ( ( member_c_d @ SV152 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( ! [SY586: c > d] :
( ~ ( member_c_d @ SY586 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV152 @ SY586 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1107,plain,
! [SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV170: c > d] :
( ( ( ~ ( member_c_d @ SV170 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY590: c > d] :
( ~ ( member_c_d @ SY590 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV170 ) @ SY590 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV170 @ SY590 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1051]) ).
thf(1108,plain,
! [SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV110: c > d] :
( ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( ! [SY548: c > d] :
( ~ ( member_c_d @ SY548 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY549: c > d] :
( ~ ( member_c_d @ SY549 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SY548 ) @ SY549 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SY548 @ SY549 ) ) ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1109,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV141: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1053]) ).
thf(1110,plain,
! [SV32: set_c,SV141: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
!= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) ) ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1053]) ).
thf(1111,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV153: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
| ~ ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
!= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) ) ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1112,plain,
! [SV171: c > d] :
( ( ~ ( member_c_d @ SV171 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SV171 ) @ SV171 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1055]) ).
thf(1113,plain,
( ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
| ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1114,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1115,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d] :
( ( ( ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1058]) ).
thf(1116,plain,
! [SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV111: ( c > d ) > set_c_d_c_d] :
( ( ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1117,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $false )
| ( ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1118,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV143: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK21_X @ SV143 @ SV81 @ SV37 ) @ SV37 ) )
= $false )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1119,plain,
! [SV37: set_c,SV143: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ( ( SV81 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) )
!= ( SV143 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) ) ) ) )
= $false )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1120,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV155: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK21_X @ SV155 @ SV81 @ SV37 ) @ SV37 )
| ~ ( ( ( SV81 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) )
!= ( SV155 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) ) ) ) )
= $false )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1121,plain,
! [SV144: c > d,SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV172: c > d] :
( ( ( ~ ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
!= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) ) ) )
| ( SV144 = SV172 ) )
= $true )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1063]) ).
thf(1122,plain,
! [SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV156: c > d] :
( ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( ! [SY587: c > d] :
( ~ ( member_c_d @ SY587 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SY587 @ SV156 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV156 @ ( sK27_X @ SY587 @ SV156 @ SV82 @ SV38 ) )
!= ( SY587 @ ( sK27_X @ SY587 @ SV156 @ SV82 @ SV38 ) ) ) ) )
| ( SV156 = SY587 ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1123,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV145: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 ) )
= $false )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1124,plain,
! [SV40: set_c,SV145: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
!= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) ) ) )
= $false )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1125,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV157: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
| ~ ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
!= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) ) ) )
= $false )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1126,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1127,plain,
! [SV41: set_c_d,SV116: ( c > d ) > c > d,SV85: ( c > d ) > c > d] :
( ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false )
| ( ( ! [SY553: ( c > d ) > set_c_d] :
( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SY553 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SY553 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1069]) ).
thf(1128,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1070]) ).
thf(1129,plain,
! [SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV174: c > d] :
( ( ( ~ ( member_c_d @ SV174 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY591: c] :
( ~ ( member_c @ SY591 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV174 @ SY591 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY591 ) @ ( SV118 @ SY591 ) @ ( SV174 @ SY591 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1071]) ).
thf(1130,plain,
! [SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV118: c > d] :
( ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( ! [SY554: c > d] :
( ~ ( member_c_d @ SY554 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY555: c] :
( ~ ( member_c @ SY555 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SY554 @ SY555 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY555 ) @ ( SV118 @ SY555 ) @ ( SY554 @ SY555 ) ) ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1131,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $true )
| ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1132,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c] :
( ( ( ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $true )
| ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1133,plain,
! [SV89: set_c,SV45: c > d,SV119: c > set_d] :
( ( ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
= $true )
| ( ( ~ ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1134,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $false )
| ( ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1135,plain,
! [SV146: c > d,SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV175: c > d] :
( ( ( ~ ( member_c_d @ SV175 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV146 @ SV175 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) )
= $true )
| ( ( member_c_d @ SV146 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1077]) ).
thf(1136,plain,
! [SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV159: c > d] :
( ( ( member_c_d @ SV159 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( ! [SY588: c > d] :
( ~ ( member_c_d @ SY588 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV159 @ SY588 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1137,plain,
! [SV147: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV176: c > d] :
( ( ( ~ ( member_c_d @ SV176 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV147 @ SV176 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV176 @ SV147 ) ) )
= $true )
| ( ( member_c_d @ SV147 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1138,plain,
! [SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV160: c > d] :
( ( ( member_c_d @ SV160 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( ! [SY589: c > d] :
( ~ ( member_c_d @ SY589 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV160 @ SY589 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SY589 @ SV160 ) ) ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1139,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV177: c > d] :
( ( SV2 @ SV177 )
= ( SV125 @ SV177 ) ) )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1082]) ).
thf(1140,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( SV2 = SV125 )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1082]) ).
thf(1141,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d] :
( ( ( ! [SV178: c > d] :
( ( SV3 @ SV178 )
= ( SV126 @ SV178 ) ) )
= $false )
| ( ( ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1083]) ).
thf(1142,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d] :
( ( ( SV3 = SV126 )
= $false )
| ( ( ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1083]) ).
thf(1143,plain,
! [SV96: set_d,SV52: set_c,SV127: c > d,SV4: c > d] :
( ( ( ! [SV179: c] :
( ( SV4 @ SV179 )
= ( SV127 @ SV179 ) ) )
= $false )
| ( ( ! [SY571: c] :
( ~ ( member_c @ SY571 @ SV52 )
| ( ( SV4 @ SY571 )
= ( SV127 @ SY571 ) ) ) )
= $true )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1084]) ).
thf(1144,plain,
! [SV96: set_d,SV52: set_c,SV127: c > d,SV4: c > d] :
( ( ( SV4 = SV127 )
= $false )
| ( ( ! [SY571: c] :
( ~ ( member_c @ SY571 @ SV52 )
| ( ( SV4 @ SY571 )
= ( SV127 @ SY571 ) ) ) )
= $true )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1084]) ).
thf(1145,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV180: c > d] :
( ( SV5 @ SV180 )
= ( SV128 @ SV180 ) ) )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1085]) ).
thf(1146,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( SV5 = SV128 )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1085]) ).
thf(1147,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d] :
( ( ( ! [SV181: c > d] :
( ( SV6 @ SV181 )
= ( SV129 @ SV181 ) ) )
= $false )
| ( ( ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1086]) ).
thf(1148,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d] :
( ( ( SV6 = SV129 )
= $false )
| ( ( ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1086]) ).
thf(1149,plain,
! [SV99: set_d,SV55: set_c,SV130: c > d,SV7: c > d] :
( ( ( ! [SV182: c] :
( ( SV7 @ SV182 )
= ( SV130 @ SV182 ) ) )
= $false )
| ( ( ! [SY577: c] :
( ~ ( member_c @ SY577 @ SV55 )
| ( ( SV7 @ SY577 )
= ( SV130 @ SY577 ) ) ) )
= $true )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1087]) ).
thf(1150,plain,
! [SV99: set_d,SV55: set_c,SV130: c > d,SV7: c > d] :
( ( ( SV7 = SV130 )
= $false )
| ( ( ! [SY577: c] :
( ~ ( member_c @ SY577 @ SV55 )
| ( ( SV7 @ SY577 )
= ( SV130 @ SY577 ) ) ) )
= $true )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1087]) ).
thf(1151,plain,
! [SV58: set_c_d,SV121: set_d,SV137: c > d,SV11: ( c > d ) > c > d,SV101: set_c,SV167: c] :
( ( ( ~ ( member_c @ SV167 @ SV101 ) )
= $true )
| ( ( member_d @ ( SV11 @ SV137 @ SV167 ) @ SV121 )
= $true )
| ( ( member_c_d @ SV137 @ SV58 )
= $false )
| ( ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY561: c > d] :
( pi_c_d @ SV101
@ ^ [SY562: c] : SV121 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1152,plain,
! [SV131: ( c > d ) > ( c > d ) > c > d,SV59: set_c_d,SV102: set_c_d_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV183: c > d] :
( ( SV12 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ SV183 )
= ( SV131 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ SV183 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1089]) ).
thf(1153,plain,
! [SV131: ( c > d ) > ( c > d ) > c > d,SV59: set_c_d,SV102: set_c_d_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV12 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) )
= ( SV131 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1089]) ).
thf(1154,plain,
! [SV132: ( c > d ) > c > d,SV60: set_c_d,SV103: set_c_d,SV13: ( c > d ) > c > d] :
( ( ( ! [SV184: c] :
( ( SV13 @ ( sK37_SV163 @ SV103 @ SV60 @ SV132 @ SV13 ) @ SV184 )
= ( SV132 @ ( sK37_SV163 @ SV103 @ SV60 @ SV132 @ SV13 ) @ SV184 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV132
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) )
= $true )
| ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1090]) ).
thf(1155,plain,
! [SV132: ( c > d ) > c > d,SV60: set_c_d,SV103: set_c_d,SV13: ( c > d ) > c > d] :
( ( ( ( SV13 @ ( sK37_SV163 @ SV103 @ SV60 @ SV132 @ SV13 ) )
= ( SV132 @ ( sK37_SV163 @ SV103 @ SV60 @ SV132 @ SV13 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV132
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) )
= $true )
| ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1090]) ).
thf(1156,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1157,plain,
! [SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV185: c] :
( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ SV185 )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ SV185 ) ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1092]) ).
thf(1158,plain,
! [SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1092]) ).
thf(1159,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
| ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1093]) ).
thf(1160,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1093]) ).
thf(1161,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV139: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK25_X @ SV139 @ SV68 @ SV24 ) @ SV24 )
= $true )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV139 ) )
= $true )
| ( ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1095]) ).
thf(1162,plain,
! [SV24: set_c,SV139: c > carrie1948989069_d_a_e,SV68: c > carrie1948989069_d_a_e] :
( ( ( ( SV68 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) )
!= ( SV139 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) ) )
= $true )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV139 ) )
= $true )
| ( ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1096]) ).
thf(1163,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV150: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK25_X @ SV150 @ SV68 @ SV24 ) @ SV24 ) )
= $false )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV150 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1097]) ).
thf(1164,plain,
! [SV24: set_c,SV150: c > carrie1948989069_d_a_e,SV68: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ( ( SV68 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) )
!= ( SV150 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) ) ) ) )
= $false )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV150 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1097]) ).
thf(1165,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) ) )
= $true )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1166,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) ) )
= $true )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1167,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d,SV186: c > d] :
( ( ( ~ ( member_c_d @ SV186 @ SV71 )
| ( member_c_d @ ( SV27 @ SV186 ) @ ( SV109 @ SV186 ) ) )
= $true )
| ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1102]) ).
thf(1168,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
| ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $false )
| ( ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1169,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) ) )
= $false )
| ( ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1170,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d] :
( ( ( ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $false )
| ( ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1171,plain,
! [SV140: c > d,SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV169: c > d] :
( ( ( ~ ( member_c_d @ SV169 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) )
= $true )
| ( ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV140 @ SV169 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $true )
| ( ( member_c_d @ SV140 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1172,plain,
! [SV152: c > d,SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV187: c > d] :
( ( ( ~ ( member_c_d @ SV187 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV152 @ SV187 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) )
= $true )
| ( ( member_c_d @ SV152 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1173,plain,
! [SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV170: c > d] :
( ( ( ~ ( member_c_d @ SV170 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) ) )
= $true )
| ( ( ! [SY590: c > d] :
( ~ ( member_c_d @ SY590 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV170 ) @ SY590 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV170 @ SY590 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1174,plain,
! [SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV188: c > d] :
( ( ( ~ ( member_c_d @ SV188 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ! [SY592: c > d] :
( ~ ( member_c_d @ SY592 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV188 ) @ SY592 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV188 @ SY592 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1175,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV141: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1176,plain,
! [SV32: set_c,SV141: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e] :
( ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
!= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1177,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV153: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1178,plain,
! [SV32: set_c,SV153: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
!= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) ) ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1179,plain,
! [SV171: c > d] :
( ( ( ~ ( member_c_d @ SV171 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SV171 ) @ SV171 )
= ( prod_z1214987823_d_a_e @ i @ m ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1180,plain,
( ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1181,plain,
( ( ~ ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1182,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d,SV189: c > d] :
( ( ( ~ ( member_c_d @ SV189 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SV189 ) @ ( SV111 @ SV189 ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1115]) ).
thf(1183,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
| ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $false )
| ( ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1184,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) ) )
= $false )
| ( ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1185,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d] :
( ( ( ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $false )
| ( ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1186,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV143: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK21_X @ SV143 @ SV81 @ SV37 ) @ SV37 )
= $true )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1187,plain,
! [SV37: set_c,SV143: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e] :
( ( ( ( SV81 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) )
!= ( SV143 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) ) )
= $true )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1188,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV155: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK21_X @ SV155 @ SV81 @ SV37 ) @ SV37 ) )
= $false )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1189,plain,
! [SV37: set_c,SV155: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ( ( SV81 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) )
!= ( SV155 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) ) ) ) )
= $false )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1190,plain,
! [SV144: c > d,SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV172: c > d] :
( ( ( ~ ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
!= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) ) ) )
| ( SV144 = SV172 ) )
= $true )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1191,plain,
! [SV156: c > d,SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV190: c > d] :
( ( ( ~ ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
| ~ ( ~ ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
!= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) ) ) )
| ( SV156 = SV190 ) )
= $true )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1192,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV145: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1193,plain,
! [SV40: set_c,SV145: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e] :
( ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
!= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) )
= $true )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1194,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV157: c > carrie1948989069_d_a_e] :
( ( ( ~ ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 ) )
= $false )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1195,plain,
! [SV40: set_c,SV157: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e] :
( ( ( ~ ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
!= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) ) ) )
= $false )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1196,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1197,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1198,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
| ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1128]) ).
thf(1199,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1128]) ).
thf(1200,plain,
! [SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV174: c > d] :
( ( ( ~ ( member_c_d @ SV174 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) ) )
= $true )
| ( ( ! [SY591: c] :
( ~ ( member_c @ SY591 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV174 @ SY591 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY591 ) @ ( SV118 @ SY591 ) @ ( SV174 @ SY591 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1129]) ).
thf(1201,plain,
! [SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV192: c > d] :
( ( ( ~ ( member_c_d @ SV192 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
| ! [SY593: c] :
( ~ ( member_c @ SY593 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV192 @ SY593 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY593 ) @ ( SV118 @ SY593 ) @ ( SV192 @ SY593 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1130]) ).
thf(1202,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c,SV193: c] :
( ( ( ~ ( member_c @ SV193 @ SV89 )
| ( member_d @ ( SV45 @ SV193 ) @ ( SV119 @ SV193 ) ) )
= $true )
| ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1132]) ).
thf(1203,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
| ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $false )
| ( ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1204,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) ) )
= $false )
| ( ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1205,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c] :
( ( ( ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $false )
| ( ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1206,plain,
! [SV146: c > d,SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV175: c > d] :
( ( ( ~ ( member_c_d @ SV175 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) )
= $true )
| ( ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV146 @ SV175 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $true )
| ( ( member_c_d @ SV146 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1135]) ).
thf(1207,plain,
! [SV159: c > d,SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV194: c > d] :
( ( ( ~ ( member_c_d @ SV194 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
| ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV159 @ SV194 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) )
= $true )
| ( ( member_c_d @ SV159 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1208,plain,
! [SV147: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV176: c > d] :
( ( ( ~ ( member_c_d @ SV176 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV147 @ SV176 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV176 @ SV147 ) )
= $true )
| ( ( member_c_d @ SV147 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1209,plain,
! [SV160: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV195: c > d] :
( ( ( ~ ( member_c_d @ SV195 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
| ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV160 @ SV195 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV195 @ SV160 ) ) )
= $true )
| ( ( member_c_d @ SV160 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1210,plain,
! [SV125: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV94: set_c_d_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1139]) ).
thf(1211,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV196: c > d] :
( ( ( ~ ( member_c_d @ SV196 @ SV50 )
| ( ( SV2 @ SV196 )
= ( SV125 @ SV196 ) ) )
= $true )
| ( ( SV2 = SV125 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1212,plain,
! [SV126: ( c > d ) > c > d,SV51: set_c_d,SV95: set_c_d,SV3: ( c > d ) > c > d] :
( ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) ) )
= $false )
| ( ( ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1141]) ).
thf(1213,plain,
! [SV95: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d,SV51: set_c_d,SV197: c > d] :
( ( ( ~ ( member_c_d @ SV197 @ SV51 )
| ( ( SV3 @ SV197 )
= ( SV126 @ SV197 ) ) )
= $true )
| ( ( SV3 = SV126 )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1214,plain,
! [SV127: c > d,SV52: set_c,SV96: set_d,SV4: c > d] :
( ( ( ( SV4 @ ( sK42_SV179 @ SV96 @ SV52 @ SV127 @ SV4 ) )
= ( SV127 @ ( sK42_SV179 @ SV96 @ SV52 @ SV127 @ SV4 ) ) )
= $false )
| ( ( ! [SY571: c] :
( ~ ( member_c @ SY571 @ SV52 )
| ( ( SV4 @ SY571 )
= ( SV127 @ SY571 ) ) ) )
= $true )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1143]) ).
thf(1215,plain,
! [SV96: set_d,SV127: c > d,SV4: c > d,SV52: set_c,SV198: c] :
( ( ( ~ ( member_c @ SV198 @ SV52 )
| ( ( SV4 @ SV198 )
= ( SV127 @ SV198 ) ) )
= $true )
| ( ( SV4 = SV127 )
= $false )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1216,plain,
! [SV128: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV97: set_c_d_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1145]) ).
thf(1217,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV199: c > d] :
( ( ( ~ ( member_c_d @ SV199 @ SV53 )
| ( ( SV5 @ SV199 )
= ( SV128 @ SV199 ) ) )
= $true )
| ( ( SV5 = SV128 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1218,plain,
! [SV129: ( c > d ) > c > d,SV54: set_c_d,SV98: set_c_d,SV6: ( c > d ) > c > d] :
( ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) ) )
= $false )
| ( ( ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1147]) ).
thf(1219,plain,
! [SV98: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d,SV54: set_c_d,SV200: c > d] :
( ( ( ~ ( member_c_d @ SV200 @ SV54 )
| ( ( SV6 @ SV200 )
= ( SV129 @ SV200 ) ) )
= $true )
| ( ( SV6 = SV129 )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1220,plain,
! [SV130: c > d,SV55: set_c,SV99: set_d,SV7: c > d] :
( ( ( ( SV7 @ ( sK45_SV182 @ SV99 @ SV55 @ SV130 @ SV7 ) )
= ( SV130 @ ( sK45_SV182 @ SV99 @ SV55 @ SV130 @ SV7 ) ) )
= $false )
| ( ( ! [SY577: c] :
( ~ ( member_c @ SY577 @ SV55 )
| ( ( SV7 @ SY577 )
= ( SV130 @ SY577 ) ) ) )
= $true )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1149]) ).
thf(1221,plain,
! [SV99: set_d,SV130: c > d,SV7: c > d,SV55: set_c,SV201: c] :
( ( ( ~ ( member_c @ SV201 @ SV55 )
| ( ( SV7 @ SV201 )
= ( SV130 @ SV201 ) ) )
= $true )
| ( ( SV7 = SV130 )
= $false )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1222,plain,
! [SV58: set_c_d,SV121: set_d,SV137: c > d,SV11: ( c > d ) > c > d,SV101: set_c,SV167: c] :
( ( ( member_c @ SV167 @ SV101 )
= $false )
| ( ( member_d @ ( SV11 @ SV137 @ SV167 ) @ SV121 )
= $true )
| ( ( member_c_d @ SV137 @ SV58 )
= $false )
| ( ( member_c_d_c_d @ SV11
@ ( pi_c_d_c_d @ SV58
@ ^ [SY561: c > d] :
( pi_c_d @ SV101
@ ^ [SY562: c] : SV121 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1223,plain,
! [SV131: ( c > d ) > ( c > d ) > c > d,SV59: set_c_d,SV102: set_c_d_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV12 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ ( sK46_SV183 @ SV131 @ SV59 @ SV102 @ SV12 ) )
= ( SV131 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ ( sK46_SV183 @ SV131 @ SV59 @ SV102 @ SV12 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1152]) ).
thf(1224,plain,
! [SV132: ( c > d ) > c > d,SV60: set_c_d,SV103: set_c_d,SV13: ( c > d ) > c > d] :
( ( ( ( SV13 @ ( sK37_SV163 @ SV103 @ SV60 @ SV132 @ SV13 ) @ ( sK47_SV184 @ SV132 @ SV60 @ SV103 @ SV13 ) )
= ( SV132 @ ( sK37_SV163 @ SV103 @ SV60 @ SV132 @ SV13 ) @ ( sK47_SV184 @ SV132 @ SV60 @ SV103 @ SV13 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV132
@ ( pi_c_d_c_d @ SV60
@ ^ [SY540: c > d] : SV103 ) )
= $true )
| ( ( member_c_d_c_d @ SV13
@ ( pi_c_d_c_d @ SV60
@ ^ [SY538: c > d] : SV103 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1154]) ).
thf(1225,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1226,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1227,plain,
! [SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false )
| ( ( ! [SY545: ( c > d ) > set_c_d_c_d] :
( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SY545 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1157]) ).
thf(1228,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1229,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1159]) ).
thf(1230,plain,
! [SV24: set_c,SV139: c > carrie1948989069_d_a_e,SV68: c > carrie1948989069_d_a_e] :
( ( ( ( SV68 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) )
= ( SV139 @ ( sK25_X @ SV139 @ SV68 @ SV24 ) ) )
= $false )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV139 ) )
= $true )
| ( ( member_c @ ( sK26_X @ SV68 @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1231,plain,
! [SV24: set_c,SV68: c > carrie1948989069_d_a_e,SV150: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK25_X @ SV150 @ SV68 @ SV24 ) @ SV24 )
= $true )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV150 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1232,plain,
! [SV24: set_c,SV150: c > carrie1948989069_d_a_e,SV68: c > carrie1948989069_d_a_e] :
( ( ( ( SV68 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) )
!= ( SV150 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) ) )
= $true )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV150 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1233,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) ) )
= $true )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1234,plain,
! [SV70: c > d,SV151: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) ) )
= $true )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1235,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) ) )
= $true )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1236,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d,SV186: c > d] :
( ( ( ~ ( member_c_d @ SV186 @ SV71 ) )
= $true )
| ( ( member_c_d @ ( SV27 @ SV186 ) @ ( SV109 @ SV186 ) )
= $true )
| ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1167]) ).
thf(1237,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) ) )
= $false )
| ( ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1238,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d] :
( ( ( ~ ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $false )
| ( ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1239,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $true )
| ( ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1240,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d] :
( ( ( ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $true )
| ( ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1241,plain,
! [SV140: c > d,SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV169: c > d] :
( ( ( member_c_d @ SV169 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV140 @ SV169 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $true )
| ( ( member_c_d @ SV140 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( member_c @ ( sK18_X @ SV72 @ SV28 ) @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1242,plain,
! [SV152: c > d,SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV187: c > d] :
( ( ( ~ ( member_c_d @ SV187 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) ) )
= $true )
| ( ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV152 @ SV187 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $true )
| ( ( member_c_d @ SV152 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1243,plain,
! [SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV170: c > d] :
( ( ( member_c_d @ SV170 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( ! [SY590: c > d] :
( ~ ( member_c_d @ SY590 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV170 ) @ SY590 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV170 @ SY590 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1244,plain,
! [SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV188: c > d] :
( ( ( ~ ( member_c_d @ SV188 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) ) )
= $true )
| ( ( ! [SY592: c > d] :
( ~ ( member_c_d @ SY592 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV188 ) @ SY592 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV188 @ SY592 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1174]) ).
thf(1245,plain,
! [SV141: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV203: c > d] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV203 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV203 ) ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1175]) ).
thf(1246,plain,
! [SV141: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1175]) ).
thf(1247,plain,
! [SV32: set_c,SV141: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e] :
( ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1248,plain,
! [SV32: set_c,SV76: c > carrie1948989069_d_a_e,SV153: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1249,plain,
! [SV32: set_c,SV153: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e] :
( ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
!= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1250,plain,
! [SV171: c > d] :
( ( ( member_c_d @ SV171 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SV171 ) @ SV171 )
= ( prod_z1214987823_d_a_e @ i @ m ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1251,plain,
( ( ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1252,plain,
( ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1253,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d,SV189: c > d] :
( ( ( ~ ( member_c_d @ SV189 @ SV77 ) )
= $true )
| ( ( member_c_d_c_d @ ( SV33 @ SV189 ) @ ( SV111 @ SV189 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1254,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) ) )
= $false )
| ( ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1255,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d] :
( ( ( ~ ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $false )
| ( ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1256,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $true )
| ( ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1184]) ).
thf(1257,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d] :
( ( ( ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1258,plain,
! [SV143: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ! [SV204: c] :
( ( prod_z1214987823_d_a_e @ SV37 @ SV81 @ SV204 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 @ SV204 ) ) )
= $true )
| ( ( member_c @ ( sK21_X @ SV143 @ SV81 @ SV37 ) @ SV37 )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1186]) ).
thf(1259,plain,
! [SV143: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) )
= $true )
| ( ( member_c @ ( sK21_X @ SV143 @ SV81 @ SV37 ) @ SV37 )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1186]) ).
thf(1260,plain,
! [SV37: set_c,SV143: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e] :
( ( ( ( SV81 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) )
= ( SV143 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) ) )
= $false )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1261,plain,
! [SV37: set_c,SV81: c > carrie1948989069_d_a_e,SV155: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK21_X @ SV155 @ SV81 @ SV37 ) @ SV37 )
= $true )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1262,plain,
! [SV37: set_c,SV155: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e] :
( ( ( ( SV81 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) )
!= ( SV155 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) ) )
= $true )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1263,plain,
! [SV144: c > d,SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV172: c > d] :
( ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( ~ ( ~ ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
!= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) ) ) )
| ( SV144 = SV172 ) )
= $true )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1264,plain,
! [SV156: c > d,SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV190: c > d] :
( ( ( ~ ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
!= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) ) ) )
| ( SV156 = SV190 ) )
= $true )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1265,plain,
! [SV145: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ! [SV205: c > d] :
( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV205 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV205 ) ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1192]) ).
thf(1266,plain,
! [SV145: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1192]) ).
thf(1267,plain,
! [SV40: set_c,SV145: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e] :
( ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) )
= $false )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1268,plain,
! [SV40: set_c,SV84: c > carrie1948989069_d_a_e,SV157: c > carrie1948989069_d_a_e] :
( ( ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1194]) ).
thf(1269,plain,
! [SV40: set_c,SV157: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e] :
( ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
!= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) )
= $true )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1270,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1271,plain,
! [SV85: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1272,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
| ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1197]) ).
thf(1273,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1197]) ).
thf(1274,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1275,plain,
! [SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV174: c > d] :
( ( ( member_c_d @ SV174 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( ! [SY591: c] :
( ~ ( member_c @ SY591 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV174 @ SY591 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY591 ) @ ( SV118 @ SY591 ) @ ( SV174 @ SY591 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1276,plain,
! [SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV192: c > d] :
( ( ( ~ ( member_c_d @ SV192 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) ) )
= $true )
| ( ( ! [SY593: c] :
( ~ ( member_c @ SY593 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV192 @ SY593 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY593 ) @ ( SV118 @ SY593 ) @ ( SV192 @ SY593 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1201]) ).
thf(1277,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c,SV193: c] :
( ( ( ~ ( member_c @ SV193 @ SV89 ) )
= $true )
| ( ( member_d @ ( SV45 @ SV193 ) @ ( SV119 @ SV193 ) )
= $true )
| ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1202]) ).
thf(1278,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( ~ ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) ) )
= $false )
| ( ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1279,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c] :
( ( ( ~ ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $false )
| ( ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1280,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $true )
| ( ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1281,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c] :
( ( ( ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $true )
| ( ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1282,plain,
! [SV146: c > d,SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV175: c > d] :
( ( ( member_c_d @ SV175 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV146 @ SV175 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $true )
| ( ( member_c_d @ SV146 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( member_c @ ( sK3_X @ SV90 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1206]) ).
thf(1283,plain,
! [SV159: c > d,SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV194: c > d] :
( ( ( ~ ( member_c_d @ SV194 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) ) )
= $true )
| ( ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV159 @ SV194 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $true )
| ( ( member_c_d @ SV159 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1207]) ).
thf(1284,plain,
! [SV147: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV176: c > d] :
( ( ( member_c_d @ SV176 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV147 @ SV176 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV176 @ SV147 ) )
= $true )
| ( ( member_c_d @ SV147 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1285,plain,
! [SV160: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV195: c > d] :
( ( ( ~ ( member_c_d @ SV195 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV160 @ SV195 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV195 @ SV160 ) )
= $true )
| ( ( member_c_d @ SV160 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1209]) ).
thf(1286,plain,
! [SV125: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV94: set_c_d_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV206: c > d] :
( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ SV206 )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ SV206 ) ) )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1210]) ).
thf(1287,plain,
! [SV125: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV94: set_c_d_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1210]) ).
thf(1288,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV196: c > d] :
( ( ( ~ ( member_c_d @ SV196 @ SV50 ) )
= $true )
| ( ( ( SV2 @ SV196 )
= ( SV125 @ SV196 ) )
= $true )
| ( ( SV2 = SV125 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1289,plain,
! [SV126: ( c > d ) > c > d,SV51: set_c_d,SV95: set_c_d,SV3: ( c > d ) > c > d] :
( ( ( ! [SV207: c] :
( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ SV207 )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ SV207 ) ) )
= $false )
| ( ( ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1212]) ).
thf(1290,plain,
! [SV126: ( c > d ) > c > d,SV51: set_c_d,SV95: set_c_d,SV3: ( c > d ) > c > d] :
( ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) ) )
= $false )
| ( ( ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1212]) ).
thf(1291,plain,
! [SV95: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d,SV51: set_c_d,SV197: c > d] :
( ( ( ~ ( member_c_d @ SV197 @ SV51 ) )
= $true )
| ( ( ( SV3 @ SV197 )
= ( SV126 @ SV197 ) )
= $true )
| ( ( SV3 = SV126 )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1213]) ).
thf(1292,plain,
! [SV96: set_d,SV127: c > d,SV4: c > d,SV52: set_c,SV208: c] :
( ( ( ~ ( member_c @ SV208 @ SV52 )
| ( ( SV4 @ SV208 )
= ( SV127 @ SV208 ) ) )
= $true )
| ( ( ( SV4 @ ( sK42_SV179 @ SV96 @ SV52 @ SV127 @ SV4 ) )
= ( SV127 @ ( sK42_SV179 @ SV96 @ SV52 @ SV127 @ SV4 ) ) )
= $false )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1293,plain,
! [SV96: set_d,SV127: c > d,SV4: c > d,SV52: set_c,SV198: c] :
( ( ( ~ ( member_c @ SV198 @ SV52 ) )
= $true )
| ( ( ( SV4 @ SV198 )
= ( SV127 @ SV198 ) )
= $true )
| ( ( SV4 = SV127 )
= $false )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1294,plain,
! [SV128: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV97: set_c_d_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV209: c > d] :
( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ SV209 )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ SV209 ) ) )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1216]) ).
thf(1295,plain,
! [SV128: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV97: set_c_d_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1216]) ).
thf(1296,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV199: c > d] :
( ( ( ~ ( member_c_d @ SV199 @ SV53 ) )
= $true )
| ( ( ( SV5 @ SV199 )
= ( SV128 @ SV199 ) )
= $true )
| ( ( SV5 = SV128 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1217]) ).
thf(1297,plain,
! [SV129: ( c > d ) > c > d,SV54: set_c_d,SV98: set_c_d,SV6: ( c > d ) > c > d] :
( ( ( ! [SV210: c] :
( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ SV210 )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ SV210 ) ) )
= $false )
| ( ( ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1218]) ).
thf(1298,plain,
! [SV129: ( c > d ) > c > d,SV54: set_c_d,SV98: set_c_d,SV6: ( c > d ) > c > d] :
( ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) ) )
= $false )
| ( ( ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1218]) ).
thf(1299,plain,
! [SV98: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d,SV54: set_c_d,SV200: c > d] :
( ( ( ~ ( member_c_d @ SV200 @ SV54 ) )
= $true )
| ( ( ( SV6 @ SV200 )
= ( SV129 @ SV200 ) )
= $true )
| ( ( SV6 = SV129 )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1300,plain,
! [SV99: set_d,SV130: c > d,SV7: c > d,SV55: set_c,SV211: c] :
( ( ( ~ ( member_c @ SV211 @ SV55 )
| ( ( SV7 @ SV211 )
= ( SV130 @ SV211 ) ) )
= $true )
| ( ( ( SV7 @ ( sK45_SV182 @ SV99 @ SV55 @ SV130 @ SV7 ) )
= ( SV130 @ ( sK45_SV182 @ SV99 @ SV55 @ SV130 @ SV7 ) ) )
= $false )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1301,plain,
! [SV99: set_d,SV130: c > d,SV7: c > d,SV55: set_c,SV201: c] :
( ( ( ~ ( member_c @ SV201 @ SV55 ) )
= $true )
| ( ( ( SV7 @ SV201 )
= ( SV130 @ SV201 ) )
= $true )
| ( ( SV7 = SV130 )
= $false )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1221]) ).
thf(1302,plain,
! [SV131: ( c > d ) > ( c > d ) > c > d,SV59: set_c_d,SV102: set_c_d_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV212: c] :
( ( SV12 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ ( sK46_SV183 @ SV131 @ SV59 @ SV102 @ SV12 ) @ SV212 )
= ( SV131 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ ( sK46_SV183 @ SV131 @ SV59 @ SV102 @ SV12 ) @ SV212 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1223]) ).
thf(1303,plain,
! [SV131: ( c > d ) > ( c > d ) > c > d,SV59: set_c_d,SV102: set_c_d_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV12 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ ( sK46_SV183 @ SV131 @ SV59 @ SV102 @ SV12 ) )
= ( SV131 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ ( sK46_SV183 @ SV131 @ SV59 @ SV102 @ SV12 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1223]) ).
thf(1304,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1305,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1306,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1307,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
| ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1228]) ).
thf(1308,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1228]) ).
thf(1309,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1310,plain,
! [SV24: set_c,SV150: c > carrie1948989069_d_a_e,SV68: c > carrie1948989069_d_a_e] :
( ( ( ( SV68 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) )
= ( SV150 @ ( sK25_X @ SV150 @ SV68 @ SV24 ) ) )
= $false )
| ( ( ( carr_p1636662547_d_a_e @ SV24 @ SV68 )
= ( carr_p1636662547_d_a_e @ SV24 @ SV150 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV68 @ ( sK26_X @ SV68 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1311,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) )
= $false )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1312,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) )
= $false )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1313,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) ) )
= $true )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1314,plain,
! [SV70: c > d,SV165: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) ) )
= $true )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1315,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d,SV186: c > d] :
( ( ( member_c_d @ SV186 @ SV71 )
= $false )
| ( ( member_c_d @ ( SV27 @ SV186 ) @ ( SV109 @ SV186 ) )
= $true )
| ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1316,plain,
! [SV109: ( c > d ) > set_c_d,SV71: set_c_d,SV27: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV27 @ ( pi_c_d_c_d @ SV71 @ SV109 ) )
= $true )
| ( ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1317,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d] :
( ( ( ! [SY547: c > d] :
( ~ ( member_c_d @ SY547 @ SV71 )
| ( member_c_d @ ( SV27 @ SY547 ) @ ( SV109 @ SY547 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1318,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d,SV214: c > d] :
( ( ( ~ ( member_c_d @ SV214 @ SV71 )
| ( member_c_d @ ( SV27 @ SV214 ) @ ( SV109 @ SV214 ) ) )
= $true )
| ( ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1319,plain,
! [SV152: c > d,SV72: c > carrie1948989069_d_a_e,SV28: set_c,SV187: c > d] :
( ( ( member_c_d @ SV187 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( member_c_d @ ( prod_p131511076_d_a_e @ SV28 @ SV72 @ SV152 @ SV187 ) @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $true )
| ( ( member_c_d @ SV152 @ ( carr_p1636662547_d_a_e @ SV28 @ SV72 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV72 @ ( sK18_X @ SV72 @ SV28 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1320,plain,
! [SV170: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV215: c > d] :
( ( ( ~ ( member_c_d @ SV215 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV170 ) @ SV215 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV170 @ SV215 ) ) ) )
= $true )
| ( ( member_c_d @ SV170 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1321,plain,
! [SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV188: c > d] :
( ( ( member_c_d @ SV188 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( ! [SY592: c > d] :
( ~ ( member_c_d @ SY592 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV188 ) @ SY592 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV188 @ SY592 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1322,plain,
! [SV141: c > carrie1948989069_d_a_e,SV216: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV216 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV216 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1323,plain,
! [SV141: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV217: c > d] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV217 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV217 ) ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1247]) ).
thf(1324,plain,
! [SV141: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1247]) ).
thf(1325,plain,
! [SV153: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV218: c > d] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV218 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV218 ) ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1248]) ).
thf(1326,plain,
! [SV153: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1248]) ).
thf(1327,plain,
! [SV32: set_c,SV153: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e] :
( ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1328,plain,
! [SV171: c > d] :
( ( ( ! [SV219: c] :
( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SV171 ) @ SV171 @ SV219 )
= ( prod_z1214987823_d_a_e @ i @ m @ SV219 ) ) )
= $true )
| ( ( member_c_d @ SV171 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1250]) ).
thf(1329,plain,
! [SV171: c > d] :
( ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SV171 ) @ SV171 )
= ( prod_z1214987823_d_a_e @ i @ m ) )
= $true )
| ( ( member_c_d @ SV171 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1250]) ).
thf(1330,plain,
( ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1331,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d,SV189: c > d] :
( ( ( member_c_d @ SV189 @ SV77 )
= $false )
| ( ( member_c_d_c_d @ ( SV33 @ SV189 ) @ ( SV111 @ SV189 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1332,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV77: set_c_d,SV33: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV33 @ ( pi_c_d_c_d_c_d @ SV77 @ SV111 ) )
= $true )
| ( ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1254]) ).
thf(1333,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d] :
( ( ( ! [SY550: c > d] :
( ~ ( member_c_d @ SY550 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SY550 ) @ ( SV111 @ SY550 ) ) ) )
= $true )
| ( ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1334,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d,SV220: c > d] :
( ( ( ~ ( member_c_d @ SV220 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SV220 ) @ ( SV111 @ SV220 ) ) )
= $true )
| ( ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1257]) ).
thf(1335,plain,
! [SV143: c > carrie1948989069_d_a_e,SV221: c,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 @ SV221 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 @ SV221 ) )
= $true )
| ( ( member_c @ ( sK21_X @ SV143 @ SV81 @ SV37 ) @ SV37 )
= $true )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1336,plain,
! [SV143: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ! [SV222: c] :
( ( prod_z1214987823_d_a_e @ SV37 @ SV81 @ SV222 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 @ SV222 ) ) )
= $true )
| ( ( ( SV81 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) )
= ( SV143 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) ) )
= $false )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1260]) ).
thf(1337,plain,
! [SV143: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 ) )
= $true )
| ( ( ( SV81 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) )
= ( SV143 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) ) )
= $false )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1260]) ).
thf(1338,plain,
! [SV155: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ! [SV223: c] :
( ( prod_z1214987823_d_a_e @ SV37 @ SV81 @ SV223 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 @ SV223 ) ) )
= $true )
| ( ( member_c @ ( sK21_X @ SV155 @ SV81 @ SV37 ) @ SV37 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1261]) ).
thf(1339,plain,
! [SV155: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) )
= $true )
| ( ( member_c @ ( sK21_X @ SV155 @ SV81 @ SV37 ) @ SV37 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1261]) ).
thf(1340,plain,
! [SV37: set_c,SV155: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e] :
( ( ( ( SV81 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) )
= ( SV155 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) ) )
= $false )
| ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1341,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV144: c > d,SV172: c > d] :
( ( ( ~ ( ~ ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
!= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) ) ) ) )
= $true )
| ( ( SV144 = SV172 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1263]) ).
thf(1342,plain,
! [SV156: c > d,SV82: c > carrie1948989069_d_a_e,SV38: set_c,SV190: c > d] :
( ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( ~ ( ~ ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
!= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) ) ) )
| ( SV156 = SV190 ) )
= $true )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1343,plain,
! [SV145: c > carrie1948989069_d_a_e,SV224: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV224 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV224 ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1344,plain,
! [SV145: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ! [SV225: c > d] :
( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV225 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV225 ) ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) )
= $false )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1267]) ).
thf(1345,plain,
! [SV145: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) )
= $false )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1267]) ).
thf(1346,plain,
! [SV157: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ! [SV226: c > d] :
( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV226 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV226 ) ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1268]) ).
thf(1347,plain,
! [SV157: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1268]) ).
thf(1348,plain,
! [SV40: set_c,SV157: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e] :
( ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) )
= $false )
| ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1349,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1350,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1351,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1272]) ).
thf(1352,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1353,plain,
! [SV174: c > d,SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV227: c] :
( ( ( ~ ( member_c @ SV227 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV174 @ SV227 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SV227 ) @ ( SV118 @ SV227 ) @ ( SV174 @ SV227 ) ) ) )
= $true )
| ( ( member_c_d @ SV174 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1354,plain,
! [SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV192: c > d] :
( ( ( member_c_d @ SV192 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( ! [SY593: c] :
( ~ ( member_c @ SY593 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV192 @ SY593 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SY593 ) @ ( SV118 @ SY593 ) @ ( SV192 @ SY593 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1355,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c,SV193: c] :
( ( ( member_c @ SV193 @ SV89 )
= $false )
| ( ( member_d @ ( SV45 @ SV193 ) @ ( SV119 @ SV193 ) )
= $true )
| ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1356,plain,
! [SV119: c > set_d,SV89: set_c,SV45: c > d] :
( ( ( member_c_d @ SV45 @ ( pi_c_d @ SV89 @ SV119 ) )
= $true )
| ( ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1357,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c] :
( ( ( ! [SY556: c] :
( ~ ( member_c @ SY556 @ SV89 )
| ( member_d @ ( SV45 @ SY556 ) @ ( SV119 @ SY556 ) ) ) )
= $true )
| ( ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1358,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c,SV228: c] :
( ( ( ~ ( member_c @ SV228 @ SV89 )
| ( member_d @ ( SV45 @ SV228 ) @ ( SV119 @ SV228 ) ) )
= $true )
| ( ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1359,plain,
! [SV159: c > d,SV90: c > carrie1948989069_d_a_e,SV46: set_c,SV194: c > d] :
( ( ( member_c_d @ SV194 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( member_c_d @ ( prod_p131511076_d_a_e @ SV46 @ SV90 @ SV159 @ SV194 ) @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $true )
| ( ( member_c_d @ SV159 @ ( carr_d56066307_d_a_e @ SV46 @ SV90 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV90 @ ( sK3_X @ SV90 @ SV46 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1360,plain,
! [SV176: c > d,SV147: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c] :
( ( ( ! [SV229: c] :
( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV147 @ SV176 @ SV229 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV176 @ SV147 @ SV229 ) ) )
= $true )
| ( ( member_c_d @ SV176 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c_d @ SV147 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1284]) ).
thf(1361,plain,
! [SV176: c > d,SV147: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV147 @ SV176 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV176 @ SV147 ) )
= $true )
| ( ( member_c_d @ SV176 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c_d @ SV147 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1284]) ).
thf(1362,plain,
! [SV160: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c,SV195: c > d] :
( ( ( member_c_d @ SV195 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV160 @ SV195 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV195 @ SV160 ) )
= $true )
| ( ( member_c_d @ SV160 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1363,plain,
! [SV125: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV94: set_c_d_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1286]) ).
thf(1364,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV230: c > d] :
( ( ( ~ ( member_c_d @ SV230 @ SV50 )
| ( ( SV2 @ SV230 )
= ( SV125 @ SV230 ) ) )
= $true )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1365,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV196: c > d] :
( ( ( member_c_d @ SV196 @ SV50 )
= $false )
| ( ( ( SV2 @ SV196 )
= ( SV125 @ SV196 ) )
= $true )
| ( ( SV2 = SV125 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1288]) ).
thf(1366,plain,
! [SV126: ( c > d ) > c > d,SV51: set_c_d,SV95: set_c_d,SV3: ( c > d ) > c > d] :
( ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) ) )
= $false )
| ( ( ! [SY569: c > d] :
( ~ ( member_c_d @ SY569 @ SV51 )
| ( ( SV3 @ SY569 )
= ( SV126 @ SY569 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1289]) ).
thf(1367,plain,
! [SV95: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d,SV51: set_c_d,SV231: c > d] :
( ( ( ~ ( member_c_d @ SV231 @ SV51 )
| ( ( SV3 @ SV231 )
= ( SV126 @ SV231 ) ) )
= $true )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1368,plain,
! [SV95: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d,SV51: set_c_d,SV197: c > d] :
( ( ( member_c_d @ SV197 @ SV51 )
= $false )
| ( ( ( SV3 @ SV197 )
= ( SV126 @ SV197 ) )
= $true )
| ( ( SV3 = SV126 )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1369,plain,
! [SV96: set_d,SV127: c > d,SV4: c > d,SV52: set_c,SV208: c] :
( ( ( ~ ( member_c @ SV208 @ SV52 ) )
= $true )
| ( ( ( SV4 @ SV208 )
= ( SV127 @ SV208 ) )
= $true )
| ( ( ( SV4 @ ( sK42_SV179 @ SV96 @ SV52 @ SV127 @ SV4 ) )
= ( SV127 @ ( sK42_SV179 @ SV96 @ SV52 @ SV127 @ SV4 ) ) )
= $false )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1292]) ).
thf(1370,plain,
! [SV96: set_d,SV127: c > d,SV4: c > d,SV52: set_c,SV198: c] :
( ( ( member_c @ SV198 @ SV52 )
= $false )
| ( ( ( SV4 @ SV198 )
= ( SV127 @ SV198 ) )
= $true )
| ( ( SV4 = SV127 )
= $false )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1371,plain,
! [SV128: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV97: set_c_d_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1294]) ).
thf(1372,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV232: c > d] :
( ( ( ~ ( member_c_d @ SV232 @ SV53 )
| ( ( SV5 @ SV232 )
= ( SV128 @ SV232 ) ) )
= $true )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1295]) ).
thf(1373,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV199: c > d] :
( ( ( member_c_d @ SV199 @ SV53 )
= $false )
| ( ( ( SV5 @ SV199 )
= ( SV128 @ SV199 ) )
= $true )
| ( ( SV5 = SV128 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1374,plain,
! [SV129: ( c > d ) > c > d,SV54: set_c_d,SV98: set_c_d,SV6: ( c > d ) > c > d] :
( ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) ) )
= $false )
| ( ( ! [SY575: c > d] :
( ~ ( member_c_d @ SY575 @ SV54 )
| ( ( SV6 @ SY575 )
= ( SV129 @ SY575 ) ) ) )
= $true )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1297]) ).
thf(1375,plain,
! [SV98: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d,SV54: set_c_d,SV233: c > d] :
( ( ( ~ ( member_c_d @ SV233 @ SV54 )
| ( ( SV6 @ SV233 )
= ( SV129 @ SV233 ) ) )
= $true )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1376,plain,
! [SV98: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d,SV54: set_c_d,SV200: c > d] :
( ( ( member_c_d @ SV200 @ SV54 )
= $false )
| ( ( ( SV6 @ SV200 )
= ( SV129 @ SV200 ) )
= $true )
| ( ( SV6 = SV129 )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1377,plain,
! [SV99: set_d,SV130: c > d,SV7: c > d,SV55: set_c,SV211: c] :
( ( ( ~ ( member_c @ SV211 @ SV55 ) )
= $true )
| ( ( ( SV7 @ SV211 )
= ( SV130 @ SV211 ) )
= $true )
| ( ( ( SV7 @ ( sK45_SV182 @ SV99 @ SV55 @ SV130 @ SV7 ) )
= ( SV130 @ ( sK45_SV182 @ SV99 @ SV55 @ SV130 @ SV7 ) ) )
= $false )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1300]) ).
thf(1378,plain,
! [SV99: set_d,SV130: c > d,SV7: c > d,SV55: set_c,SV201: c] :
( ( ( member_c @ SV201 @ SV55 )
= $false )
| ( ( ( SV7 @ SV201 )
= ( SV130 @ SV201 ) )
= $true )
| ( ( SV7 = SV130 )
= $false )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1301]) ).
thf(1379,plain,
! [SV131: ( c > d ) > ( c > d ) > c > d,SV59: set_c_d,SV102: set_c_d_c_d,SV12: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV12 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ ( sK46_SV183 @ SV131 @ SV59 @ SV102 @ SV12 ) @ ( sK53_SV212 @ SV131 @ SV59 @ SV102 @ SV12 ) )
= ( SV131 @ ( sK36_SV162 @ SV102 @ SV59 @ SV131 @ SV12 ) @ ( sK46_SV183 @ SV131 @ SV59 @ SV102 @ SV12 ) @ ( sK53_SV212 @ SV131 @ SV59 @ SV102 @ SV12 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV131
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY537: c > d] : SV102 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV12
@ ( pi_c_d_c_d_c_d @ SV59
@ ^ [SY535: c > d] : SV102 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1302]) ).
thf(1380,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1381,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1382,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1383,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1384,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
| ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1306]) ).
thf(1385,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1306]) ).
thf(1386,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1307]) ).
thf(1387,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1309]) ).
thf(1388,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1309]) ).
thf(1389,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) ) )
= $false )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1311]) ).
thf(1390,plain,
! [SV70: c > d,SV151: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) )
= $false )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1311]) ).
thf(1391,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) ) )
= $false )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1392,plain,
! [SV70: c > d,SV151: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) ) )
= $false )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1393,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) )
= $false )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1394,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
| ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) )
= $false )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1395,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d,SV234: c > d] :
( ( ( ~ ( member_c_d @ SV234 @ SV71 )
| ( member_c_d @ ( SV27 @ SV234 ) @ ( SV109 @ SV234 ) ) )
= $true )
| ( ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1396,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d,SV214: c > d] :
( ( ( ~ ( member_c_d @ SV214 @ SV71 ) )
= $true )
| ( ( member_c_d @ ( SV27 @ SV214 ) @ ( SV109 @ SV214 ) )
= $true )
| ( ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1318]) ).
thf(1397,plain,
! [SV170: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV215: c > d] :
( ( ( ~ ( member_c_d @ SV215 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV170 ) @ SV215 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV170 @ SV215 ) ) )
= $true )
| ( ( member_c_d @ SV170 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1320]) ).
thf(1398,plain,
! [SV188: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV235: c > d] :
( ( ( ~ ( member_c_d @ SV235 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
| ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV188 ) @ SV235 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV188 @ SV235 ) ) ) )
= $true )
| ( ( member_c_d @ SV188 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1399,plain,
! [SV141: c > carrie1948989069_d_a_e,SV216: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV236: c > d] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV216 @ SV236 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV216 @ SV236 ) ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1322]) ).
thf(1400,plain,
! [SV141: c > carrie1948989069_d_a_e,SV216: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV216 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV216 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1322]) ).
thf(1401,plain,
! [SV141: c > carrie1948989069_d_a_e,SV237: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV237 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV237 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1402,plain,
! [SV153: c > carrie1948989069_d_a_e,SV238: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV238 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV238 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1403,plain,
! [SV153: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV239: c > d] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV239 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV239 ) ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1327]) ).
thf(1404,plain,
! [SV153: c > carrie1948989069_d_a_e,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1327]) ).
thf(1405,plain,
! [SV240: c,SV171: c > d] :
( ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ SV171 ) @ SV171 @ SV240 )
= ( prod_z1214987823_d_a_e @ i @ m @ SV240 ) )
= $true )
| ( ( member_c_d @ SV171 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1406,plain,
( ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1407,plain,
( ( ~ ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1408,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d,SV241: c > d] :
( ( ( ~ ( member_c_d @ SV241 @ SV77 )
| ( member_c_d_c_d @ ( SV33 @ SV241 ) @ ( SV111 @ SV241 ) ) )
= $true )
| ( ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1409,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d,SV220: c > d] :
( ( ( ~ ( member_c_d @ SV220 @ SV77 ) )
= $true )
| ( ( member_c_d_c_d @ ( SV33 @ SV220 ) @ ( SV111 @ SV220 ) )
= $true )
| ( ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1334]) ).
thf(1410,plain,
! [SV143: c > carrie1948989069_d_a_e,SV242: c,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 @ SV242 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV143 @ SV242 ) )
= $true )
| ( ( ( SV81 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) )
= ( SV143 @ ( sK21_X @ SV143 @ SV81 @ SV37 ) ) )
= $false )
| ( ( member_c @ ( sK22_X @ SV81 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1411,plain,
! [SV155: c > carrie1948989069_d_a_e,SV243: c,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 @ SV243 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 @ SV243 ) )
= $true )
| ( ( member_c @ ( sK21_X @ SV155 @ SV81 @ SV37 ) @ SV37 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1412,plain,
! [SV155: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ! [SV244: c] :
( ( prod_z1214987823_d_a_e @ SV37 @ SV81 @ SV244 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 @ SV244 ) ) )
= $true )
| ( ( ( SV81 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) )
= ( SV155 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1340]) ).
thf(1413,plain,
! [SV155: c > carrie1948989069_d_a_e,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 ) )
= $true )
| ( ( ( SV81 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) )
= ( SV155 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1340]) ).
thf(1414,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV144: c > d,SV172: c > d] :
( ( ( ~ ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
!= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) ) ) )
= $false )
| ( ( SV144 = SV172 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1415,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV156: c > d,SV190: c > d] :
( ( ( ~ ( ~ ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
!= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) ) ) ) )
= $true )
| ( ( SV156 = SV190 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1416,plain,
! [SV145: c > carrie1948989069_d_a_e,SV224: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ! [SV245: c] :
( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV224 @ SV245 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV224 @ SV245 ) ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1343]) ).
thf(1417,plain,
! [SV145: c > carrie1948989069_d_a_e,SV224: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV224 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV224 ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1343]) ).
thf(1418,plain,
! [SV145: c > carrie1948989069_d_a_e,SV246: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV246 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV246 ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) )
= $false )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1419,plain,
! [SV157: c > carrie1948989069_d_a_e,SV247: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV247 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV247 ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1420,plain,
! [SV157: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ! [SV248: c > d] :
( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV248 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV248 ) ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1348]) ).
thf(1421,plain,
! [SV157: c > carrie1948989069_d_a_e,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1348]) ).
thf(1422,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1349]) ).
thf(1423,plain,
! [SV85: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1349]) ).
thf(1424,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1425,plain,
! [SV85: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1426,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1427,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1428,plain,
! [SV85: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1429,plain,
! [SV174: c > d,SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV227: c] :
( ( ( ~ ( member_c @ SV227 @ SV44 ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV174 @ SV227 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SV227 ) @ ( SV118 @ SV227 ) @ ( SV174 @ SV227 ) ) )
= $true )
| ( ( member_c_d @ SV174 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1353]) ).
thf(1430,plain,
! [SV192: c > d,SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV249: c] :
( ( ( ~ ( member_c @ SV249 @ SV44 )
| ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV192 @ SV249 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SV249 ) @ ( SV118 @ SV249 ) @ ( SV192 @ SV249 ) ) ) )
= $true )
| ( ( member_c_d @ SV192 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1431,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c,SV250: c] :
( ( ( ~ ( member_c @ SV250 @ SV89 )
| ( member_d @ ( SV45 @ SV250 ) @ ( SV119 @ SV250 ) ) )
= $true )
| ( ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(1432,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c,SV228: c] :
( ( ( ~ ( member_c @ SV228 @ SV89 ) )
= $true )
| ( ( member_d @ ( SV45 @ SV228 ) @ ( SV119 @ SV228 ) )
= $true )
| ( ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1358]) ).
thf(1433,plain,
! [SV251: c,SV176: c > d,SV147: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV147 @ SV176 @ SV251 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV176 @ SV147 @ SV251 ) )
= $true )
| ( ( member_c_d @ SV176 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c_d @ SV147 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c @ ( sK20_X @ SV92 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1434,plain,
! [SV195: c > d,SV160: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c] :
( ( ( ! [SV252: c] :
( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV160 @ SV195 @ SV252 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV195 @ SV160 @ SV252 ) ) )
= $true )
| ( ( member_c_d @ SV195 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c_d @ SV160 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1362]) ).
thf(1435,plain,
! [SV195: c > d,SV160: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV160 @ SV195 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV195 @ SV160 ) )
= $true )
| ( ( member_c_d @ SV195 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c_d @ SV160 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1362]) ).
thf(1436,plain,
! [SV125: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV94: set_c_d_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV253: c] :
( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ SV253 )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ SV253 ) ) )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1363]) ).
thf(1437,plain,
! [SV125: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV94: set_c_d_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1363]) ).
thf(1438,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV230: c > d] :
( ( ( ~ ( member_c_d @ SV230 @ SV50 ) )
= $true )
| ( ( ( SV2 @ SV230 )
= ( SV125 @ SV230 ) )
= $true )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1439,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV196: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV254: c > d] :
( ( SV2 @ SV196 @ SV254 )
= ( SV125 @ SV196 @ SV254 ) ) )
= $true )
| ( ( member_c_d @ SV196 @ SV50 )
= $false )
| ( ( SV2 = SV125 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1365]) ).
thf(1440,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV196: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV196 )
= ( SV125 @ SV196 ) )
= $true )
| ( ( member_c_d @ SV196 @ SV50 )
= $false )
| ( ( SV2 = SV125 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1365]) ).
thf(1441,plain,
! [SV95: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d,SV51: set_c_d,SV255: c > d] :
( ( ( ~ ( member_c_d @ SV255 @ SV51 )
| ( ( SV3 @ SV255 )
= ( SV126 @ SV255 ) ) )
= $true )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1442,plain,
! [SV95: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d,SV51: set_c_d,SV231: c > d] :
( ( ( ~ ( member_c_d @ SV231 @ SV51 ) )
= $true )
| ( ( ( SV3 @ SV231 )
= ( SV126 @ SV231 ) )
= $true )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1367]) ).
thf(1443,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV197: c > d,SV3: ( c > d ) > c > d] :
( ( ( ! [SV256: c] :
( ( SV3 @ SV197 @ SV256 )
= ( SV126 @ SV197 @ SV256 ) ) )
= $true )
| ( ( member_c_d @ SV197 @ SV51 )
= $false )
| ( ( SV3 = SV126 )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1368]) ).
thf(1444,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV197: c > d,SV3: ( c > d ) > c > d] :
( ( ( ( SV3 @ SV197 )
= ( SV126 @ SV197 ) )
= $true )
| ( ( member_c_d @ SV197 @ SV51 )
= $false )
| ( ( SV3 = SV126 )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1368]) ).
thf(1445,plain,
! [SV96: set_d,SV127: c > d,SV4: c > d,SV52: set_c,SV208: c] :
( ( ( member_c @ SV208 @ SV52 )
= $false )
| ( ( ( SV4 @ SV208 )
= ( SV127 @ SV208 ) )
= $true )
| ( ( ( SV4 @ ( sK42_SV179 @ SV96 @ SV52 @ SV127 @ SV4 ) )
= ( SV127 @ ( sK42_SV179 @ SV96 @ SV52 @ SV127 @ SV4 ) ) )
= $false )
| ( ( member_c_d @ SV127
@ ( pi_c_d @ SV52
@ ^ [SY511: c] : SV96 ) )
= $false )
| ( ( member_c_d @ SV4
@ ( pi_c_d @ SV52
@ ^ [SY509: c] : SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1446,plain,
! [SV128: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV97: set_c_d_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV257: c] :
( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ SV257 )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ SV257 ) ) )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1371]) ).
thf(1447,plain,
! [SV128: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV97: set_c_d_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1371]) ).
thf(1448,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV232: c > d] :
( ( ( ~ ( member_c_d @ SV232 @ SV53 ) )
= $true )
| ( ( ( SV5 @ SV232 )
= ( SV128 @ SV232 ) )
= $true )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1449,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV199: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV258: c > d] :
( ( SV5 @ SV199 @ SV258 )
= ( SV128 @ SV199 @ SV258 ) ) )
= $true )
| ( ( member_c_d @ SV199 @ SV53 )
= $false )
| ( ( SV5 = SV128 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1373]) ).
thf(1450,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV199: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV199 )
= ( SV128 @ SV199 ) )
= $true )
| ( ( member_c_d @ SV199 @ SV53 )
= $false )
| ( ( SV5 = SV128 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1373]) ).
thf(1451,plain,
! [SV98: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d,SV54: set_c_d,SV259: c > d] :
( ( ( ~ ( member_c_d @ SV259 @ SV54 )
| ( ( SV6 @ SV259 )
= ( SV129 @ SV259 ) ) )
= $true )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1452,plain,
! [SV98: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d,SV54: set_c_d,SV233: c > d] :
( ( ( ~ ( member_c_d @ SV233 @ SV54 ) )
= $true )
| ( ( ( SV6 @ SV233 )
= ( SV129 @ SV233 ) )
= $true )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1453,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV200: c > d,SV6: ( c > d ) > c > d] :
( ( ( ! [SV260: c] :
( ( SV6 @ SV200 @ SV260 )
= ( SV129 @ SV200 @ SV260 ) ) )
= $true )
| ( ( member_c_d @ SV200 @ SV54 )
= $false )
| ( ( SV6 = SV129 )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1376]) ).
thf(1454,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV200: c > d,SV6: ( c > d ) > c > d] :
( ( ( ( SV6 @ SV200 )
= ( SV129 @ SV200 ) )
= $true )
| ( ( member_c_d @ SV200 @ SV54 )
= $false )
| ( ( SV6 = SV129 )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1376]) ).
thf(1455,plain,
! [SV99: set_d,SV130: c > d,SV7: c > d,SV55: set_c,SV211: c] :
( ( ( member_c @ SV211 @ SV55 )
= $false )
| ( ( ( SV7 @ SV211 )
= ( SV130 @ SV211 ) )
= $true )
| ( ( ( SV7 @ ( sK45_SV182 @ SV99 @ SV55 @ SV130 @ SV7 ) )
= ( SV130 @ ( sK45_SV182 @ SV99 @ SV55 @ SV130 @ SV7 ) ) )
= $false )
| ( ( member_c_d @ SV130
@ ( pi_c_d @ SV55
@ ^ [SY523: c] : SV99 ) )
= $false )
| ( ( member_c_d @ SV7
@ ( pi_c_d @ SV55
@ ^ [SY521: c] : SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1456,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1380]) ).
thf(1457,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1458,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1382]) ).
thf(1459,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV148: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV148 ) )
= $false )
| ( ( member_c_d @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1460,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1384]) ).
thf(1461,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1462,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1463,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1464,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= $true )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1389]) ).
thf(1465,plain,
! [SV70: c > d,SV151: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) )
= $true )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1390]) ).
thf(1466,plain,
! [SV108: c > d,SV151: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV151 ) )
= $true )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1391]) ).
thf(1467,plain,
! [SV70: c > d,SV151: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) )
= $true )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV151 ) )
= $false )
| ( ( member_c @ ( sK14_W @ SV108 @ SV70 @ SV26 ) @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1392]) ).
thf(1468,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) ) )
= $false )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1393]) ).
thf(1469,plain,
! [SV70: c > d,SV165: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) )
= $false )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1393]) ).
thf(1470,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( ~ ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) ) )
= $false )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1471,plain,
! [SV70: c > d,SV165: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( ~ ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) ) )
= $false )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1472,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d,SV234: c > d] :
( ( ( ~ ( member_c_d @ SV234 @ SV71 ) )
= $true )
| ( ( member_c_d @ ( SV27 @ SV234 ) @ ( SV109 @ SV234 ) )
= $true )
| ( ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1395]) ).
thf(1473,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d,SV214: c > d] :
( ( ( member_c_d @ SV214 @ SV71 )
= $false )
| ( ( member_c_d @ ( SV27 @ SV214 ) @ ( SV109 @ SV214 ) )
= $true )
| ( ( member_c_d @ ( SV27 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) @ ( SV109 @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1474,plain,
! [SV170: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV215: c > d] :
( ( ( member_c_d @ SV215 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV170 ) @ SV215 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV170 @ SV215 ) ) )
= $true )
| ( ( member_c_d @ SV170 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1475,plain,
! [SV188: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV235: c > d] :
( ( ( ~ ( member_c_d @ SV235 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV188 ) @ SV235 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV188 @ SV235 ) ) )
= $true )
| ( ( member_c_d @ SV188 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1476,plain,
! [SV141: c > carrie1948989069_d_a_e,SV261: c > d,SV216: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV216 @ SV261 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV216 @ SV261 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1477,plain,
! [SV141: c > carrie1948989069_d_a_e,SV237: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV262: c > d] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV237 @ SV262 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV237 @ SV262 ) ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1401]) ).
thf(1478,plain,
! [SV141: c > carrie1948989069_d_a_e,SV237: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV237 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV237 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1401]) ).
thf(1479,plain,
! [SV153: c > carrie1948989069_d_a_e,SV238: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV263: c > d] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV238 @ SV263 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV238 @ SV263 ) ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1402]) ).
thf(1480,plain,
! [SV153: c > carrie1948989069_d_a_e,SV238: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV238 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV238 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1402]) ).
thf(1481,plain,
! [SV153: c > carrie1948989069_d_a_e,SV264: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV264 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV264 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1403]) ).
thf(1482,plain,
( ( ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 )
= ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1406]) ).
thf(1483,plain,
( ( ~ ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1407]) ).
thf(1484,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d,SV241: c > d] :
( ( ( ~ ( member_c_d @ SV241 @ SV77 ) )
= $true )
| ( ( member_c_d_c_d @ ( SV33 @ SV241 ) @ ( SV111 @ SV241 ) )
= $true )
| ( ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1485,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d,SV220: c > d] :
( ( ( member_c_d @ SV220 @ SV77 )
= $false )
| ( ( member_c_d_c_d @ ( SV33 @ SV220 ) @ ( SV111 @ SV220 ) )
= $true )
| ( ( member_c_d_c_d @ ( SV33 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) @ ( SV111 @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1486,plain,
! [SV155: c > carrie1948989069_d_a_e,SV265: c,SV81: c > carrie1948989069_d_a_e,SV37: set_c] :
( ( ( ( prod_z1214987823_d_a_e @ SV37 @ SV81 @ SV265 )
= ( prod_z1214987823_d_a_e @ SV37 @ SV155 @ SV265 ) )
= $true )
| ( ( ( SV81 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) )
= ( SV155 @ ( sK21_X @ SV155 @ SV81 @ SV37 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV81 @ ( sK22_X @ SV81 @ SV37 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1487,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV144: c > d,SV172: c > d] :
( ( ( ~ ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 ) )
= $false )
| ( ( SV144 = SV172 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1488,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV172: c > d,SV144: c > d] :
( ( ( ~ ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
!= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) ) ) )
= $false )
| ( ( SV144 = SV172 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1489,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV156: c > d,SV190: c > d] :
( ( ( ~ ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 )
| ~ ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
!= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) ) ) )
= $false )
| ( ( SV156 = SV190 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1490,plain,
! [SV145: c > carrie1948989069_d_a_e,SV266: c,SV224: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV224 @ SV266 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV224 @ SV266 ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV145 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(1491,plain,
! [SV145: c > carrie1948989069_d_a_e,SV246: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ! [SV267: c] :
( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV246 @ SV267 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV246 @ SV267 ) ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) )
= $false )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1418]) ).
thf(1492,plain,
! [SV145: c > carrie1948989069_d_a_e,SV246: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV246 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV246 ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) )
= $false )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1418]) ).
thf(1493,plain,
! [SV157: c > carrie1948989069_d_a_e,SV247: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ! [SV268: c] :
( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV247 @ SV268 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV247 @ SV268 ) ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1419]) ).
thf(1494,plain,
! [SV157: c > carrie1948989069_d_a_e,SV247: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV247 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV247 ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1419]) ).
thf(1495,plain,
! [SV157: c > carrie1948989069_d_a_e,SV269: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV269 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV269 ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(1496,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $true )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1422]) ).
thf(1497,plain,
! [SV85: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $true )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1423]) ).
thf(1498,plain,
! [SV116: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $true )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1499,plain,
! [SV85: ( c > d ) > c > d,SV158: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $true )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV158 ) )
= $false )
| ( ( member_c_d @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1500,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1501,plain,
! [SV85: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) ) )
= $true )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1502,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1503,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1504,plain,
! [SV174: c > d,SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV227: c] :
( ( ( member_c @ SV227 @ SV44 )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV174 @ SV227 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SV227 ) @ ( SV118 @ SV227 ) @ ( SV174 @ SV227 ) ) )
= $true )
| ( ( member_c_d @ SV174 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c @ ( sK4_X @ SV118 @ SV88 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1505,plain,
! [SV192: c > d,SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV249: c] :
( ( ( ~ ( member_c @ SV249 @ SV44 ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV192 @ SV249 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SV249 ) @ ( SV118 @ SV249 ) @ ( SV192 @ SV249 ) ) )
= $true )
| ( ( member_c_d @ SV192 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1506,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c,SV250: c] :
( ( ( ~ ( member_c @ SV250 @ SV89 ) )
= $true )
| ( ( member_d @ ( SV45 @ SV250 ) @ ( SV119 @ SV250 ) )
= $true )
| ( ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1431]) ).
thf(1507,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c,SV228: c] :
( ( ( member_c @ SV228 @ SV89 )
= $false )
| ( ( member_d @ ( SV45 @ SV228 ) @ ( SV119 @ SV228 ) )
= $true )
| ( ( member_d @ ( SV45 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) @ ( SV119 @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1508,plain,
! [SV270: c,SV195: c > d,SV160: c > d,SV92: c > carrie1948989069_d_a_e,SV48: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV160 @ SV195 @ SV270 )
= ( prod_p131511076_d_a_e @ SV48 @ SV92 @ SV195 @ SV160 @ SV270 ) )
= $true )
| ( ( member_c_d @ SV195 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( member_c_d @ SV160 @ ( carr_p1636662547_d_a_e @ SV48 @ SV92 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV92 @ ( sK20_X @ SV92 @ SV48 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(1509,plain,
! [SV125: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV94: set_c_d_c_d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( ! [SY567: c > d] :
( ~ ( member_c_d @ SY567 @ SV50 )
| ( ( SV2 @ SY567 )
= ( SV125 @ SY567 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1436]) ).
thf(1510,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV271: c > d] :
( ( ( ~ ( member_c_d @ SV271 @ SV50 )
| ( ( SV2 @ SV271 )
= ( SV125 @ SV271 ) ) )
= $true )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1437]) ).
thf(1511,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV230: c > d] :
( ( ( member_c_d @ SV230 @ SV50 )
= $false )
| ( ( ( SV2 @ SV230 )
= ( SV125 @ SV230 ) )
= $true )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1512,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV272: c > d,SV196: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV196 @ SV272 )
= ( SV125 @ SV196 @ SV272 ) )
= $true )
| ( ( member_c_d @ SV196 @ SV50 )
= $false )
| ( ( SV2 = SV125 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1513,plain,
! [SV95: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d,SV51: set_c_d,SV255: c > d] :
( ( ( ~ ( member_c_d @ SV255 @ SV51 ) )
= $true )
| ( ( ( SV3 @ SV255 )
= ( SV126 @ SV255 ) )
= $true )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1441]) ).
thf(1514,plain,
! [SV95: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d,SV51: set_c_d,SV231: c > d] :
( ( ( member_c_d @ SV231 @ SV51 )
= $false )
| ( ( ( SV3 @ SV231 )
= ( SV126 @ SV231 ) )
= $true )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1515,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV273: c,SV197: c > d,SV3: ( c > d ) > c > d] :
( ( ( ( SV3 @ SV197 @ SV273 )
= ( SV126 @ SV197 @ SV273 ) )
= $true )
| ( ( member_c_d @ SV197 @ SV51 )
= $false )
| ( ( SV3 = SV126 )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(1516,plain,
! [SV128: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV97: set_c_d_c_d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( ! [SY573: c > d] :
( ~ ( member_c_d @ SY573 @ SV53 )
| ( ( SV5 @ SY573 )
= ( SV128 @ SY573 ) ) ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1446]) ).
thf(1517,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV274: c > d] :
( ( ( ~ ( member_c_d @ SV274 @ SV53 )
| ( ( SV5 @ SV274 )
= ( SV128 @ SV274 ) ) )
= $true )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(1518,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV232: c > d] :
( ( ( member_c_d @ SV232 @ SV53 )
= $false )
| ( ( ( SV5 @ SV232 )
= ( SV128 @ SV232 ) )
= $true )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1519,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV275: c > d,SV199: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV199 @ SV275 )
= ( SV128 @ SV199 @ SV275 ) )
= $true )
| ( ( member_c_d @ SV199 @ SV53 )
= $false )
| ( ( SV5 = SV128 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1520,plain,
! [SV98: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d,SV54: set_c_d,SV259: c > d] :
( ( ( ~ ( member_c_d @ SV259 @ SV54 ) )
= $true )
| ( ( ( SV6 @ SV259 )
= ( SV129 @ SV259 ) )
= $true )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1451]) ).
thf(1521,plain,
! [SV98: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d,SV54: set_c_d,SV233: c > d] :
( ( ( member_c_d @ SV233 @ SV54 )
= $false )
| ( ( ( SV6 @ SV233 )
= ( SV129 @ SV233 ) )
= $true )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1522,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV276: c,SV200: c > d,SV6: ( c > d ) > c > d] :
( ( ( ( SV6 @ SV200 @ SV276 )
= ( SV129 @ SV200 @ SV276 ) )
= $true )
| ( ( member_c_d @ SV200 @ SV54 )
= $false )
| ( ( SV6 = SV129 )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1523,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1524,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1525,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1526,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1527,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1528,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1463]) ).
thf(1529,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1463]) ).
thf(1530,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= $true )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1531,plain,
! [SV70: c > d,SV165: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) )
= $true )
| ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1469]) ).
thf(1532,plain,
! [SV108: c > d,SV165: c > set_d,SV26: set_c,SV70: c > d] :
( ( ( member_c_d @ SV70 @ ( pi_c_d @ SV26 @ SV165 ) )
= $true )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1533,plain,
! [SV70: c > d,SV165: c > set_d,SV26: set_c,SV108: c > d] :
( ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) )
= $true )
| ( ( member_c_d @ SV108 @ ( pi_c_d @ SV26 @ SV165 ) )
= $false )
| ( ( ( SV70 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) )
= ( SV108 @ ( sK14_W @ SV108 @ SV70 @ SV26 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1534,plain,
! [SV109: ( c > d ) > set_c_d,SV27: ( c > d ) > c > d,SV71: set_c_d,SV234: c > d] :
( ( ( member_c_d @ SV234 @ SV71 )
= $false )
| ( ( member_c_d @ ( SV27 @ SV234 ) @ ( SV109 @ SV234 ) )
= $true )
| ( ( member_c_d @ ( sK32_SY547 @ SV109 @ SV27 @ SV71 ) @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1535,plain,
! [SV215: c > d,SV170: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c] :
( ( ( ! [SV277: c] :
( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV170 ) @ SV215 @ SV277 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV170 @ SV215 ) @ SV277 ) ) )
= $true )
| ( ( member_c_d @ SV215 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV170 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1474]) ).
thf(1536,plain,
! [SV215: c > d,SV170: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV170 ) @ SV215 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV170 @ SV215 ) ) )
= $true )
| ( ( member_c_d @ SV215 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV170 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1474]) ).
thf(1537,plain,
! [SV188: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c,SV235: c > d] :
( ( ( member_c_d @ SV235 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV188 ) @ SV235 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV188 @ SV235 ) ) )
= $true )
| ( ( member_c_d @ SV188 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1538,plain,
! [SV141: c > carrie1948989069_d_a_e,SV261: c > d,SV216: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV278: c] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV216 @ SV261 @ SV278 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV216 @ SV261 @ SV278 ) ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1476]) ).
thf(1539,plain,
! [SV141: c > carrie1948989069_d_a_e,SV261: c > d,SV216: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV216 @ SV261 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV216 @ SV261 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1476]) ).
thf(1540,plain,
! [SV141: c > carrie1948989069_d_a_e,SV279: c > d,SV237: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV237 @ SV279 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV237 @ SV279 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(1541,plain,
! [SV153: c > carrie1948989069_d_a_e,SV280: c > d,SV238: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV238 @ SV280 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV238 @ SV280 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1542,plain,
! [SV153: c > carrie1948989069_d_a_e,SV264: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV281: c > d] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV264 @ SV281 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV264 @ SV281 ) ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1481]) ).
thf(1543,plain,
! [SV153: c > carrie1948989069_d_a_e,SV264: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV264 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV264 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1481]) ).
thf(1544,plain,
! [SV282: c > d] :
( ( ~ ( member_c_d @ SV282 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SY594: c > d] :
( ~ ( member_c_d @ SY594 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SV282 @ SY594 )
= ( prod_p131511076_d_a_e @ i @ m @ SY594 @ SV282 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1545,plain,
( ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) )
| ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1546,plain,
! [SV111: ( c > d ) > set_c_d_c_d,SV33: ( c > d ) > ( c > d ) > c > d,SV77: set_c_d,SV241: c > d] :
( ( ( member_c_d @ SV241 @ SV77 )
= $false )
| ( ( member_c_d_c_d @ ( SV33 @ SV241 ) @ ( SV111 @ SV241 ) )
= $true )
| ( ( member_c_d @ ( sK33_SY550 @ SV111 @ SV33 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1547,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV144: c > d,SV172: c > d] :
( ( ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 )
= $true )
| ( ( SV144 = SV172 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1487]) ).
thf(1548,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV172: c > d,SV144: c > d] :
( ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
!= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) )
= $true )
| ( ( SV144 = SV172 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1488]) ).
thf(1549,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV156: c > d,SV190: c > d] :
( ( ( ~ ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 ) )
= $false )
| ( ( SV156 = SV190 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1489]) ).
thf(1550,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV190: c > d,SV156: c > d] :
( ( ( ~ ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
!= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) ) ) )
= $false )
| ( ( SV156 = SV190 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1489]) ).
thf(1551,plain,
! [SV145: c > carrie1948989069_d_a_e,SV283: c,SV246: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV246 @ SV283 )
= ( prod_m854557927_d_a_e @ SV40 @ SV145 @ SV246 @ SV283 ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) )
= ( SV145 @ ( sK9_X @ SV145 @ SV84 @ SV40 ) ) )
= $false )
| ( ( member_c @ ( sK10_X @ SV84 @ SV40 ) @ SV40 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1552,plain,
! [SV157: c > carrie1948989069_d_a_e,SV284: c,SV247: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV247 @ SV284 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV247 @ SV284 ) )
= $true )
| ( ( member_c @ ( sK9_X @ SV157 @ SV84 @ SV40 ) @ SV40 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1553,plain,
! [SV157: c > carrie1948989069_d_a_e,SV269: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ! [SV285: c] :
( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV269 @ SV285 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV269 @ SV285 ) ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1554,plain,
! [SV157: c > carrie1948989069_d_a_e,SV269: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV269 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV269 ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1555,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1500]) ).
thf(1556,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
| ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1557,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1558,plain,
! [SV85: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1559,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1560,plain,
! [SV85: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1561,plain,
! [SV192: c > d,SV118: c > d,SV88: c > carrie1948989069_d_a_e,SV44: set_c,SV249: c] :
( ( ( member_c @ SV249 @ SV44 )
= $false )
| ( ( ( prod_p131511076_d_a_e @ SV44 @ SV88 @ SV118 @ SV192 @ SV249 )
= ( pop_d_261713874_d_a_e @ ( SV88 @ SV249 ) @ ( SV118 @ SV249 ) @ ( SV192 @ SV249 ) ) )
= $true )
| ( ( member_c_d @ SV192 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( member_c_d @ SV118 @ ( carr_p1636662547_d_a_e @ SV44 @ SV88 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV88 @ ( sK4_X @ SV118 @ SV88 @ SV44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1562,plain,
! [SV119: c > set_d,SV45: c > d,SV89: set_c,SV250: c] :
( ( ( member_c @ SV250 @ SV89 )
= $false )
| ( ( member_d @ ( SV45 @ SV250 ) @ ( SV119 @ SV250 ) )
= $true )
| ( ( member_c @ ( sK34_SY556 @ SV119 @ SV45 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1563,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV286: c > d] :
( ( ( ~ ( member_c_d @ SV286 @ SV50 )
| ( ( SV2 @ SV286 )
= ( SV125 @ SV286 ) ) )
= $true )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1564,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV271: c > d] :
( ( ( ~ ( member_c_d @ SV271 @ SV50 ) )
= $true )
| ( ( ( SV2 @ SV271 )
= ( SV125 @ SV271 ) )
= $true )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1510]) ).
thf(1565,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV230: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV287: c > d] :
( ( SV2 @ SV230 @ SV287 )
= ( SV125 @ SV230 @ SV287 ) ) )
= $true )
| ( ( member_c_d @ SV230 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1511]) ).
thf(1566,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV230: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV230 )
= ( SV125 @ SV230 ) )
= $true )
| ( ( member_c_d @ SV230 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1511]) ).
thf(1567,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV272: c > d,SV196: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV288: c] :
( ( SV2 @ SV196 @ SV272 @ SV288 )
= ( SV125 @ SV196 @ SV272 @ SV288 ) ) )
= $true )
| ( ( member_c_d @ SV196 @ SV50 )
= $false )
| ( ( SV2 = SV125 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1512]) ).
thf(1568,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV272: c > d,SV196: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV196 @ SV272 )
= ( SV125 @ SV196 @ SV272 ) )
= $true )
| ( ( member_c_d @ SV196 @ SV50 )
= $false )
| ( ( SV2 = SV125 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1512]) ).
thf(1569,plain,
! [SV95: set_c_d,SV126: ( c > d ) > c > d,SV3: ( c > d ) > c > d,SV51: set_c_d,SV255: c > d] :
( ( ( member_c_d @ SV255 @ SV51 )
= $false )
| ( ( ( SV3 @ SV255 )
= ( SV126 @ SV255 ) )
= $true )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1570,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV231: c > d,SV3: ( c > d ) > c > d] :
( ( ( ! [SV289: c] :
( ( SV3 @ SV231 @ SV289 )
= ( SV126 @ SV231 @ SV289 ) ) )
= $true )
| ( ( member_c_d @ SV231 @ SV51 )
= $false )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1514]) ).
thf(1571,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV231: c > d,SV3: ( c > d ) > c > d] :
( ( ( ( SV3 @ SV231 )
= ( SV126 @ SV231 ) )
= $true )
| ( ( member_c_d @ SV231 @ SV51 )
= $false )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1514]) ).
thf(1572,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV290: c > d] :
( ( ( ~ ( member_c_d @ SV290 @ SV53 )
| ( ( SV5 @ SV290 )
= ( SV128 @ SV290 ) ) )
= $true )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1573,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV274: c > d] :
( ( ( ~ ( member_c_d @ SV274 @ SV53 ) )
= $true )
| ( ( ( SV5 @ SV274 )
= ( SV128 @ SV274 ) )
= $true )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1517]) ).
thf(1574,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV232: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV291: c > d] :
( ( SV5 @ SV232 @ SV291 )
= ( SV128 @ SV232 @ SV291 ) ) )
= $true )
| ( ( member_c_d @ SV232 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1518]) ).
thf(1575,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV232: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV232 )
= ( SV128 @ SV232 ) )
= $true )
| ( ( member_c_d @ SV232 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1518]) ).
thf(1576,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV275: c > d,SV199: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV292: c] :
( ( SV5 @ SV199 @ SV275 @ SV292 )
= ( SV128 @ SV199 @ SV275 @ SV292 ) ) )
= $true )
| ( ( member_c_d @ SV199 @ SV53 )
= $false )
| ( ( SV5 = SV128 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1519]) ).
thf(1577,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV275: c > d,SV199: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV199 @ SV275 )
= ( SV128 @ SV199 @ SV275 ) )
= $true )
| ( ( member_c_d @ SV199 @ SV53 )
= $false )
| ( ( SV5 = SV128 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1519]) ).
thf(1578,plain,
! [SV98: set_c_d,SV129: ( c > d ) > c > d,SV6: ( c > d ) > c > d,SV54: set_c_d,SV259: c > d] :
( ( ( member_c_d @ SV259 @ SV54 )
= $false )
| ( ( ( SV6 @ SV259 )
= ( SV129 @ SV259 ) )
= $true )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1579,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV233: c > d,SV6: ( c > d ) > c > d] :
( ( ( ! [SV293: c] :
( ( SV6 @ SV233 @ SV293 )
= ( SV129 @ SV233 @ SV293 ) ) )
= $true )
| ( ( member_c_d @ SV233 @ SV54 )
= $false )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1521]) ).
thf(1580,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV233: c > d,SV6: ( c > d ) > c > d] :
( ( ( ( SV6 @ SV233 )
= ( SV129 @ SV233 ) )
= $true )
| ( ( member_c_d @ SV233 @ SV54 )
= $false )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1521]) ).
thf(1581,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1582,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ~ ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) ) )
= $true )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1583,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1584,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1585,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1586,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1587,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1528]) ).
thf(1588,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV168: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV168 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1589,plain,
! [SV294: c,SV215: c > d,SV170: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV170 ) @ SV215 @ SV294 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV170 @ SV215 ) @ SV294 ) )
= $true )
| ( ( member_c_d @ SV215 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV170 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c @ ( sK19_X @ SV110 @ SV73 @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1535]) ).
thf(1590,plain,
! [SV235: c > d,SV188: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c] :
( ( ( ! [SV295: c] :
( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV188 ) @ SV235 @ SV295 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV188 @ SV235 ) @ SV295 ) ) )
= $true )
| ( ( member_c_d @ SV235 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV188 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1537]) ).
thf(1591,plain,
! [SV235: c > d,SV188: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV188 ) @ SV235 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV188 @ SV235 ) ) )
= $true )
| ( ( member_c_d @ SV235 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV188 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1537]) ).
thf(1592,plain,
! [SV141: c > carrie1948989069_d_a_e,SV296: c,SV261: c > d,SV216: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV216 @ SV261 @ SV296 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV216 @ SV261 @ SV296 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV141 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(1593,plain,
! [SV141: c > carrie1948989069_d_a_e,SV279: c > d,SV237: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV297: c] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV237 @ SV279 @ SV297 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV237 @ SV279 @ SV297 ) ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1540]) ).
thf(1594,plain,
! [SV141: c > carrie1948989069_d_a_e,SV279: c > d,SV237: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV237 @ SV279 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV237 @ SV279 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1540]) ).
thf(1595,plain,
! [SV153: c > carrie1948989069_d_a_e,SV280: c > d,SV238: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV298: c] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV238 @ SV280 @ SV298 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV238 @ SV280 @ SV298 ) ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1541]) ).
thf(1596,plain,
! [SV153: c > carrie1948989069_d_a_e,SV280: c > d,SV238: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV238 @ SV280 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV238 @ SV280 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1541]) ).
thf(1597,plain,
! [SV153: c > carrie1948989069_d_a_e,SV299: c > d,SV264: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV264 @ SV299 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV264 @ SV299 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1542]) ).
thf(1598,plain,
! [SV282: c > d] :
( ( ( ~ ( member_c_d @ SV282 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true )
| ( ( ! [SY594: c > d] :
( ~ ( member_c_d @ SY594 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SV282 @ SY594 )
= ( prod_p131511076_d_a_e @ i @ m @ SY594 @ SV282 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1544]) ).
thf(1599,plain,
( ( ~ ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1600,plain,
( ( ~ ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1601,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV172: c > d,SV144: c > d] :
( ( ( ! [SV300: c] :
( ( SV144 @ SV300 )
= ( SV172 @ SV300 ) ) )
= $true )
| ( ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1547]) ).
thf(1602,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV172: c > d,SV144: c > d] :
( ( ( SV144 = SV172 )
= $true )
| ( ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1547]) ).
thf(1603,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV172: c > d,SV144: c > d] :
( ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) )
= $false )
| ( ( SV144 = SV172 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1604,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV156: c > d,SV190: c > d] :
( ( ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 )
= $true )
| ( ( SV156 = SV190 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1605,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV190: c > d,SV156: c > d] :
( ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
!= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) )
= $true )
| ( ( SV156 = SV190 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1606,plain,
! [SV157: c > carrie1948989069_d_a_e,SV301: c,SV269: c > d,SV84: c > carrie1948989069_d_a_e,SV40: set_c] :
( ( ( ( prod_m854557927_d_a_e @ SV40 @ SV84 @ SV269 @ SV301 )
= ( prod_m854557927_d_a_e @ SV40 @ SV157 @ SV269 @ SV301 ) )
= $true )
| ( ( ( SV84 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) )
= ( SV157 @ ( sK9_X @ SV157 @ SV84 @ SV40 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV84 @ ( sK10_X @ SV84 @ SV40 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1607,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1608,plain,
! [SV85: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1609,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1610,plain,
! [SV85: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1611,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $true )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1612,plain,
! [SV85: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $true )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1613,plain,
! [SV116: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $true )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1559]) ).
thf(1614,plain,
! [SV85: ( c > d ) > c > d,SV173: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $true )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV173 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1615,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV286: c > d] :
( ( ( ~ ( member_c_d @ SV286 @ SV50 ) )
= $true )
| ( ( ( SV2 @ SV286 )
= ( SV125 @ SV286 ) )
= $true )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1563]) ).
thf(1616,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV271: c > d] :
( ( ( member_c_d @ SV271 @ SV50 )
= $false )
| ( ( ( SV2 @ SV271 )
= ( SV125 @ SV271 ) )
= $true )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1617,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV302: c > d,SV230: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV230 @ SV302 )
= ( SV125 @ SV230 @ SV302 ) )
= $true )
| ( ( member_c_d @ SV230 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1565]) ).
thf(1618,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV303: c,SV272: c > d,SV196: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV196 @ SV272 @ SV303 )
= ( SV125 @ SV196 @ SV272 @ SV303 ) )
= $true )
| ( ( member_c_d @ SV196 @ SV50 )
= $false )
| ( ( SV2 = SV125 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(1619,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV255: c > d,SV3: ( c > d ) > c > d] :
( ( ( ! [SV304: c] :
( ( SV3 @ SV255 @ SV304 )
= ( SV126 @ SV255 @ SV304 ) ) )
= $true )
| ( ( member_c_d @ SV255 @ SV51 )
= $false )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1569]) ).
thf(1620,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV255: c > d,SV3: ( c > d ) > c > d] :
( ( ( ( SV3 @ SV255 )
= ( SV126 @ SV255 ) )
= $true )
| ( ( member_c_d @ SV255 @ SV51 )
= $false )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1569]) ).
thf(1621,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV305: c,SV231: c > d,SV3: ( c > d ) > c > d] :
( ( ( ( SV3 @ SV231 @ SV305 )
= ( SV126 @ SV231 @ SV305 ) )
= $true )
| ( ( member_c_d @ SV231 @ SV51 )
= $false )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(1622,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV290: c > d] :
( ( ( ~ ( member_c_d @ SV290 @ SV53 ) )
= $true )
| ( ( ( SV5 @ SV290 )
= ( SV128 @ SV290 ) )
= $true )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1572]) ).
thf(1623,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV274: c > d] :
( ( ( member_c_d @ SV274 @ SV53 )
= $false )
| ( ( ( SV5 @ SV274 )
= ( SV128 @ SV274 ) )
= $true )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1624,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV306: c > d,SV232: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV232 @ SV306 )
= ( SV128 @ SV232 @ SV306 ) )
= $true )
| ( ( member_c_d @ SV232 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(1625,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV307: c,SV275: c > d,SV199: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV199 @ SV275 @ SV307 )
= ( SV128 @ SV199 @ SV275 @ SV307 ) )
= $true )
| ( ( member_c_d @ SV199 @ SV53 )
= $false )
| ( ( SV5 = SV128 )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1576]) ).
thf(1626,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV259: c > d,SV6: ( c > d ) > c > d] :
( ( ( ! [SV308: c] :
( ( SV6 @ SV259 @ SV308 )
= ( SV129 @ SV259 @ SV308 ) ) )
= $true )
| ( ( member_c_d @ SV259 @ SV54 )
= $false )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1578]) ).
thf(1627,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV259: c > d,SV6: ( c > d ) > c > d] :
( ( ( ( SV6 @ SV259 )
= ( SV129 @ SV259 ) )
= $true )
| ( ( member_c_d @ SV259 @ SV54 )
= $false )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1578]) ).
thf(1628,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV309: c,SV233: c > d,SV6: ( c > d ) > c > d] :
( ( ( ( SV6 @ SV233 @ SV309 )
= ( SV129 @ SV233 @ SV309 ) )
= $true )
| ( ( member_c_d @ SV233 @ SV54 )
= $false )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(1629,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1630,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
| ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1631,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1632,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1633,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1634,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1635,plain,
! [SV310: c,SV235: c > d,SV188: c > d,SV110: c > d,SV73: c > carrie1948989069_d_a_e,SV29: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV29 @ SV73 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ SV188 ) @ SV235 @ SV310 )
= ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV110 @ ( prod_p131511076_d_a_e @ SV29 @ SV73 @ SV188 @ SV235 ) @ SV310 ) )
= $true )
| ( ( member_c_d @ SV235 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV188 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( member_c_d @ SV110 @ ( carr_p1636662547_d_a_e @ SV29 @ SV73 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV73 @ ( sK19_X @ SV110 @ SV73 @ SV29 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(1636,plain,
! [SV141: c > carrie1948989069_d_a_e,SV311: c,SV279: c > d,SV237: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV237 @ SV279 @ SV311 )
= ( prod_p131511076_d_a_e @ SV32 @ SV141 @ SV237 @ SV279 @ SV311 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) )
= ( SV141 @ ( sK23_X @ SV141 @ SV76 @ SV32 ) ) )
= $false )
| ( ( member_c @ ( sK24_X @ SV76 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1593]) ).
thf(1637,plain,
! [SV153: c > carrie1948989069_d_a_e,SV312: c,SV280: c > d,SV238: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV238 @ SV280 @ SV312 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV238 @ SV280 @ SV312 ) )
= $true )
| ( ( member_c @ ( sK23_X @ SV153 @ SV76 @ SV32 ) @ SV32 )
= $true )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(1638,plain,
! [SV153: c > carrie1948989069_d_a_e,SV299: c > d,SV264: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ! [SV313: c] :
( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV264 @ SV299 @ SV313 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV264 @ SV299 @ SV313 ) ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1597]) ).
thf(1639,plain,
! [SV153: c > carrie1948989069_d_a_e,SV299: c > d,SV264: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV264 @ SV299 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV264 @ SV299 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1597]) ).
thf(1640,plain,
! [SV282: c > d] :
( ( ( member_c_d @ SV282 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( ! [SY594: c > d] :
( ~ ( member_c_d @ SY594 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SV282 @ SY594 )
= ( prod_p131511076_d_a_e @ i @ m @ SY594 @ SV282 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1641,plain,
( ( ! [SX0: c > d] :
( ~ ( member_c_d @ SX0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX1: c > d] :
( ~ ( member_c_d @ SX1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SX2: c > d] :
( ~ ( member_c_d @ SX2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SX0 @ SX1 ) @ SX2 )
= ( prod_p131511076_d_a_e @ i @ m @ SX0 @ ( prod_p131511076_d_a_e @ i @ m @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1642,plain,
( ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [SX1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1600]) ).
thf(1643,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV172: c > d,SV314: c,SV144: c > d] :
( ( ( ( SV144 @ SV314 )
= ( SV172 @ SV314 ) )
= $true )
| ( ( member_c @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) @ SV38 )
= $true )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1601]) ).
thf(1644,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV172: c > d,SV144: c > d] :
( ( ( ! [SV315: c] :
( ( SV144 @ SV315 )
= ( SV172 @ SV315 ) ) )
= $true )
| ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) )
= $false )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1603]) ).
thf(1645,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV172: c > d,SV144: c > d] :
( ( ( SV144 = SV172 )
= $true )
| ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) )
= $false )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1603]) ).
thf(1646,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV190: c > d,SV156: c > d] :
( ( ( ! [SV316: c] :
( ( SV156 @ SV316 )
= ( SV190 @ SV316 ) ) )
= $true )
| ( ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1604]) ).
thf(1647,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV190: c > d,SV156: c > d] :
( ( ( SV156 = SV190 )
= $true )
| ( ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1604]) ).
thf(1648,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV190: c > d,SV156: c > d] :
( ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) )
= $false )
| ( ( SV156 = SV190 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1649,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $true )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1607]) ).
thf(1650,plain,
! [SV85: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $true )
| ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1608]) ).
thf(1651,plain,
! [SV116: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV85: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV85 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $true )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1609]) ).
thf(1652,plain,
! [SV85: ( c > d ) > c > d,SV191: ( c > d ) > set_c_d,SV41: set_c_d,SV116: ( c > d ) > c > d] :
( ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $true )
| ( ( member_c_d_c_d @ SV116 @ ( pi_c_d_c_d @ SV41 @ SV191 ) )
= $false )
| ( ( ( SV85 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) )
= ( SV116 @ ( sK15_W @ SV116 @ SV85 @ SV41 ) @ ( sK39_SV166 @ SV41 @ SV116 @ SV85 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1610]) ).
thf(1653,plain,
! [SV94: set_c_d_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV2: ( c > d ) > ( c > d ) > c > d,SV50: set_c_d,SV286: c > d] :
( ( ( member_c_d @ SV286 @ SV50 )
= $false )
| ( ( ( SV2 @ SV286 )
= ( SV125 @ SV286 ) )
= $true )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1654,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV271: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV317: c > d] :
( ( SV2 @ SV271 @ SV317 )
= ( SV125 @ SV271 @ SV317 ) ) )
= $true )
| ( ( member_c_d @ SV271 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1616]) ).
thf(1655,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV271: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV271 )
= ( SV125 @ SV271 ) )
= $true )
| ( ( member_c_d @ SV271 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1616]) ).
thf(1656,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV302: c > d,SV230: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV318: c] :
( ( SV2 @ SV230 @ SV302 @ SV318 )
= ( SV125 @ SV230 @ SV302 @ SV318 ) ) )
= $true )
| ( ( member_c_d @ SV230 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1617]) ).
thf(1657,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV302: c > d,SV230: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV230 @ SV302 )
= ( SV125 @ SV230 @ SV302 ) )
= $true )
| ( ( member_c_d @ SV230 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1617]) ).
thf(1658,plain,
! [SV95: set_c_d,SV51: set_c_d,SV126: ( c > d ) > c > d,SV319: c,SV255: c > d,SV3: ( c > d ) > c > d] :
( ( ( ( SV3 @ SV255 @ SV319 )
= ( SV126 @ SV255 @ SV319 ) )
= $true )
| ( ( member_c_d @ SV255 @ SV51 )
= $false )
| ( ( ( SV3 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) )
= ( SV126 @ ( sK41_SV178 @ SV95 @ SV51 @ SV126 @ SV3 ) @ ( sK50_SV207 @ SV126 @ SV51 @ SV95 @ SV3 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV126
@ ( pi_c_d_c_d @ SV51
@ ^ [SY507: c > d] : SV95 ) )
= $false )
| ( ( member_c_d_c_d @ SV3
@ ( pi_c_d_c_d @ SV51
@ ^ [SY505: c > d] : SV95 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(1659,plain,
! [SV97: set_c_d_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV5: ( c > d ) > ( c > d ) > c > d,SV53: set_c_d,SV290: c > d] :
( ( ( member_c_d @ SV290 @ SV53 )
= $false )
| ( ( ( SV5 @ SV290 )
= ( SV128 @ SV290 ) )
= $true )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1660,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV274: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV320: c > d] :
( ( SV5 @ SV274 @ SV320 )
= ( SV128 @ SV274 @ SV320 ) ) )
= $true )
| ( ( member_c_d @ SV274 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1623]) ).
thf(1661,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV274: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV274 )
= ( SV128 @ SV274 ) )
= $true )
| ( ( member_c_d @ SV274 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1623]) ).
thf(1662,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV306: c > d,SV232: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV321: c] :
( ( SV5 @ SV232 @ SV306 @ SV321 )
= ( SV128 @ SV232 @ SV306 @ SV321 ) ) )
= $true )
| ( ( member_c_d @ SV232 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1624]) ).
thf(1663,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV306: c > d,SV232: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV232 @ SV306 )
= ( SV128 @ SV232 @ SV306 ) )
= $true )
| ( ( member_c_d @ SV232 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1624]) ).
thf(1664,plain,
! [SV98: set_c_d,SV54: set_c_d,SV129: ( c > d ) > c > d,SV322: c,SV259: c > d,SV6: ( c > d ) > c > d] :
( ( ( ( SV6 @ SV259 @ SV322 )
= ( SV129 @ SV259 @ SV322 ) )
= $true )
| ( ( member_c_d @ SV259 @ SV54 )
= $false )
| ( ( ( SV6 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) )
= ( SV129 @ ( sK44_SV181 @ SV98 @ SV54 @ SV129 @ SV6 ) @ ( sK52_SV210 @ SV129 @ SV54 @ SV98 @ SV6 ) ) )
= $false )
| ( ( member_c_d_c_d @ SV129
@ ( pi_c_d_c_d @ SV54
@ ^ [SY519: c > d] : SV98 ) )
= $false )
| ( ( member_c_d_c_d @ SV6
@ ( pi_c_d_c_d @ SV54
@ ^ [SY517: c > d] : SV98 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(1665,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1629]) ).
thf(1666,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1629]) ).
thf(1667,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1668,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( ~ ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1669,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1631]) ).
thf(1670,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1632]) ).
thf(1671,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1633]) ).
thf(1672,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV202: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV202 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1634]) ).
thf(1673,plain,
! [SV153: c > carrie1948989069_d_a_e,SV323: c,SV299: c > d,SV264: c > d,SV76: c > carrie1948989069_d_a_e,SV32: set_c] :
( ( ( ( prod_p131511076_d_a_e @ SV32 @ SV76 @ SV264 @ SV299 @ SV323 )
= ( prod_p131511076_d_a_e @ SV32 @ SV153 @ SV264 @ SV299 @ SV323 ) )
= $true )
| ( ( ( SV76 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) )
= ( SV153 @ ( sK23_X @ SV153 @ SV76 @ SV32 ) ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV76 @ ( sK24_X @ SV76 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(1674,plain,
! [SV282: c > d,SV324: c > d] :
( ( ( ~ ( member_c_d @ SV324 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ SV282 @ SV324 )
= ( prod_p131511076_d_a_e @ i @ m @ SV324 @ SV282 ) ) )
= $true )
| ( ( member_c_d @ SV282 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(1675,plain,
! [SV325: c > d] :
( ( ~ ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SY595: c > d] :
( ~ ( member_c_d @ SY595 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SY596: c > d] :
( ~ ( member_c_d @ SY596 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SY595 ) @ SY596 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SY595 @ SY596 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(1676,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV172: c > d,SV326: c,SV144: c > d] :
( ( ( ( SV144 @ SV326 )
= ( SV172 @ SV326 ) )
= $true )
| ( ( ( SV144 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) )
= ( SV172 @ ( sK27_X @ SV172 @ SV144 @ SV82 @ SV38 ) ) )
= $false )
| ( ( member_c_d @ SV172 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV144 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c @ ( sK28_X @ SV82 @ SV38 ) @ SV38 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(1677,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV190: c > d,SV327: c,SV156: c > d] :
( ( ( ( SV156 @ SV327 )
= ( SV190 @ SV327 ) )
= $true )
| ( ( member_c @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) @ SV38 )
= $true )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1646]) ).
thf(1678,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV190: c > d,SV156: c > d] :
( ( ( ! [SV328: c] :
( ( SV156 @ SV328 )
= ( SV190 @ SV328 ) ) )
= $true )
| ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) )
= $false )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1648]) ).
thf(1679,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV190: c > d,SV156: c > d] :
( ( ( SV156 = SV190 )
= $true )
| ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) )
= $false )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1648]) ).
thf(1680,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV286: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV329: c > d] :
( ( SV2 @ SV286 @ SV329 )
= ( SV125 @ SV286 @ SV329 ) ) )
= $true )
| ( ( member_c_d @ SV286 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1653]) ).
thf(1681,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV286: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV286 )
= ( SV125 @ SV286 ) )
= $true )
| ( ( member_c_d @ SV286 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1653]) ).
thf(1682,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV330: c > d,SV271: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV271 @ SV330 )
= ( SV125 @ SV271 @ SV330 ) )
= $true )
| ( ( member_c_d @ SV271 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(1683,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV331: c,SV302: c > d,SV230: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV230 @ SV302 @ SV331 )
= ( SV125 @ SV230 @ SV302 @ SV331 ) )
= $true )
| ( ( member_c_d @ SV230 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1656]) ).
thf(1684,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV290: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV332: c > d] :
( ( SV5 @ SV290 @ SV332 )
= ( SV128 @ SV290 @ SV332 ) ) )
= $true )
| ( ( member_c_d @ SV290 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1659]) ).
thf(1685,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV290: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV290 )
= ( SV128 @ SV290 ) )
= $true )
| ( ( member_c_d @ SV290 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1659]) ).
thf(1686,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV333: c > d,SV274: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV274 @ SV333 )
= ( SV128 @ SV274 @ SV333 ) )
= $true )
| ( ( member_c_d @ SV274 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(1687,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV334: c,SV306: c > d,SV232: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV232 @ SV306 @ SV334 )
= ( SV128 @ SV232 @ SV306 @ SV334 ) )
= $true )
| ( ( member_c_d @ SV232 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1662]) ).
thf(1688,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1689,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1690,plain,
! [SV107: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV66: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV66 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1691,plain,
! [SV66: ( c > d ) > ( c > d ) > c > d,SV213: ( c > d ) > set_c_d_c_d,SV22: set_c_d,SV107: ( c > d ) > ( c > d ) > c > d] :
( ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $true )
| ( ( member_c_d_c_d_c_d @ SV107 @ ( pi_c_d_c_d_c_d @ SV22 @ SV213 ) )
= $false )
| ( ( ( SV66 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) )
= ( SV107 @ ( sK16_W @ SV107 @ SV66 @ SV22 ) @ ( sK38_SV164 @ SV22 @ SV107 @ SV66 ) @ ( sK48_SV185 @ SV22 @ SV107 @ SV66 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1692,plain,
! [SV282: c > d,SV324: c > d] :
( ( ( ~ ( member_c_d @ SV324 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ i @ m @ SV282 @ SV324 )
= ( prod_p131511076_d_a_e @ i @ m @ SV324 @ SV282 ) )
= $true )
| ( ( member_c_d @ SV282 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1674]) ).
thf(1693,plain,
! [SV325: c > d] :
( ( ( ~ ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true )
| ( ( ! [SY595: c > d] :
( ~ ( member_c_d @ SY595 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SY596: c > d] :
( ~ ( member_c_d @ SY596 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SY595 ) @ SY596 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SY595 @ SY596 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1675]) ).
thf(1694,plain,
! [SV38: set_c,SV82: c > carrie1948989069_d_a_e,SV190: c > d,SV335: c,SV156: c > d] :
( ( ( ( SV156 @ SV335 )
= ( SV190 @ SV335 ) )
= $true )
| ( ( ( SV156 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) )
= ( SV190 @ ( sK27_X @ SV190 @ SV156 @ SV82 @ SV38 ) ) )
= $false )
| ( ( member_c_d @ SV190 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( member_c_d @ SV156 @ ( carr_p1636662547_d_a_e @ SV38 @ SV82 ) )
= $false )
| ( ( aGroup1940521469_d_a_e @ ( SV82 @ ( sK28_X @ SV82 @ SV38 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(1695,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV336: c > d,SV286: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV286 @ SV336 )
= ( SV125 @ SV286 @ SV336 ) )
= $true )
| ( ( member_c_d @ SV286 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(1696,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV330: c > d,SV271: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV337: c] :
( ( SV2 @ SV271 @ SV330 @ SV337 )
= ( SV125 @ SV271 @ SV330 @ SV337 ) ) )
= $true )
| ( ( member_c_d @ SV271 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1682]) ).
thf(1697,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV330: c > d,SV271: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV271 @ SV330 )
= ( SV125 @ SV271 @ SV330 ) )
= $true )
| ( ( member_c_d @ SV271 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1682]) ).
thf(1698,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV338: c > d,SV290: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV290 @ SV338 )
= ( SV128 @ SV290 @ SV338 ) )
= $true )
| ( ( member_c_d @ SV290 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1684]) ).
thf(1699,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV333: c > d,SV274: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV339: c] :
( ( SV5 @ SV274 @ SV333 @ SV339 )
= ( SV128 @ SV274 @ SV333 @ SV339 ) ) )
= $true )
| ( ( member_c_d @ SV274 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1686]) ).
thf(1700,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV333: c > d,SV274: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV274 @ SV333 )
= ( SV128 @ SV274 @ SV333 ) )
= $true )
| ( ( member_c_d @ SV274 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1686]) ).
thf(1701,plain,
! [SV282: c > d,SV324: c > d] :
( ( ( member_c_d @ SV324 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ i @ m @ SV282 @ SV324 )
= ( prod_p131511076_d_a_e @ i @ m @ SV324 @ SV282 ) )
= $true )
| ( ( member_c_d @ SV282 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1692]) ).
thf(1702,plain,
! [SV325: c > d] :
( ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( ! [SY595: c > d] :
( ~ ( member_c_d @ SY595 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SY596: c > d] :
( ~ ( member_c_d @ SY596 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SY595 ) @ SY596 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SY595 @ SY596 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1703,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV336: c > d,SV286: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV340: c] :
( ( SV2 @ SV286 @ SV336 @ SV340 )
= ( SV125 @ SV286 @ SV336 @ SV340 ) ) )
= $true )
| ( ( member_c_d @ SV286 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1695]) ).
thf(1704,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV336: c > d,SV286: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV286 @ SV336 )
= ( SV125 @ SV286 @ SV336 ) )
= $true )
| ( ( member_c_d @ SV286 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1695]) ).
thf(1705,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV341: c,SV330: c > d,SV271: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV271 @ SV330 @ SV341 )
= ( SV125 @ SV271 @ SV330 @ SV341 ) )
= $true )
| ( ( member_c_d @ SV271 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1696]) ).
thf(1706,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV338: c > d,SV290: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ! [SV342: c] :
( ( SV5 @ SV290 @ SV338 @ SV342 )
= ( SV128 @ SV290 @ SV338 @ SV342 ) ) )
= $true )
| ( ( member_c_d @ SV290 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1698]) ).
thf(1707,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV338: c > d,SV290: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV290 @ SV338 )
= ( SV128 @ SV290 @ SV338 ) )
= $true )
| ( ( member_c_d @ SV290 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1698]) ).
thf(1708,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV343: c,SV333: c > d,SV274: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV274 @ SV333 @ SV343 )
= ( SV128 @ SV274 @ SV333 @ SV343 ) )
= $true )
| ( ( member_c_d @ SV274 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(1709,plain,
! [SV324: c > d,SV282: c > d] :
( ( ( ! [SV344: c] :
( ( prod_p131511076_d_a_e @ i @ m @ SV282 @ SV324 @ SV344 )
= ( prod_p131511076_d_a_e @ i @ m @ SV324 @ SV282 @ SV344 ) ) )
= $true )
| ( ( member_c_d @ SV324 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV282 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1701]) ).
thf(1710,plain,
! [SV324: c > d,SV282: c > d] :
( ( ( ( prod_p131511076_d_a_e @ i @ m @ SV282 @ SV324 )
= ( prod_p131511076_d_a_e @ i @ m @ SV324 @ SV282 ) )
= $true )
| ( ( member_c_d @ SV324 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV282 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1701]) ).
thf(1711,plain,
! [SV325: c > d,SV345: c > d] :
( ( ( ~ ( member_c_d @ SV345 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ! [SY597: c > d] :
( ~ ( member_c_d @ SY597 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SV345 ) @ SY597 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SV345 @ SY597 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1702]) ).
thf(1712,plain,
! [SV94: set_c_d_c_d,SV50: set_c_d,SV125: ( c > d ) > ( c > d ) > c > d,SV346: c,SV336: c > d,SV286: c > d,SV2: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV2 @ SV286 @ SV336 @ SV346 )
= ( SV125 @ SV286 @ SV336 @ SV346 ) )
= $true )
| ( ( member_c_d @ SV286 @ SV50 )
= $false )
| ( ( ( SV2 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) )
= ( SV125 @ ( sK40_SV177 @ SV94 @ SV50 @ SV125 @ SV2 ) @ ( sK49_SV206 @ SV125 @ SV50 @ SV94 @ SV2 ) @ ( sK54_SV253 @ SV125 @ SV50 @ SV94 @ SV2 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV125
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY503: c > d] : SV94 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV2
@ ( pi_c_d_c_d_c_d @ SV50
@ ^ [SY501: c > d] : SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(1713,plain,
! [SV97: set_c_d_c_d,SV53: set_c_d,SV128: ( c > d ) > ( c > d ) > c > d,SV347: c,SV338: c > d,SV290: c > d,SV5: ( c > d ) > ( c > d ) > c > d] :
( ( ( ( SV5 @ SV290 @ SV338 @ SV347 )
= ( SV128 @ SV290 @ SV338 @ SV347 ) )
= $true )
| ( ( member_c_d @ SV290 @ SV53 )
= $false )
| ( ( ( SV5 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) )
= ( SV128 @ ( sK43_SV180 @ SV97 @ SV53 @ SV128 @ SV5 ) @ ( sK51_SV209 @ SV128 @ SV53 @ SV97 @ SV5 ) @ ( sK55_SV257 @ SV128 @ SV53 @ SV97 @ SV5 ) ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV128
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY515: c > d] : SV97 ) )
= $false )
| ( ( member_c_d_c_d_c_d @ SV5
@ ( pi_c_d_c_d_c_d @ SV53
@ ^ [SY513: c > d] : SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(1714,plain,
! [SV348: c,SV324: c > d,SV282: c > d] :
( ( ( ( prod_p131511076_d_a_e @ i @ m @ SV282 @ SV324 @ SV348 )
= ( prod_p131511076_d_a_e @ i @ m @ SV324 @ SV282 @ SV348 ) )
= $true )
| ( ( member_c_d @ SV324 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV282 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(1715,plain,
! [SV325: c > d,SV345: c > d] :
( ( ( ~ ( member_c_d @ SV345 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true )
| ( ( ! [SY597: c > d] :
( ~ ( member_c_d @ SY597 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SV345 ) @ SY597 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SV345 @ SY597 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1711]) ).
thf(1716,plain,
! [SV325: c > d,SV345: c > d] :
( ( ( member_c_d @ SV345 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( ! [SY597: c > d] :
( ~ ( member_c_d @ SY597 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SV345 ) @ SY597 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SV345 @ SY597 ) ) ) ) )
= $true )
| ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1717,plain,
! [SV345: c > d,SV325: c > d,SV349: c > d] :
( ( ( ~ ( member_c_d @ SV349 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SV345 ) @ SV349 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SV345 @ SV349 ) ) ) )
= $true )
| ( ( member_c_d @ SV345 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1716]) ).
thf(1718,plain,
! [SV345: c > d,SV325: c > d,SV349: c > d] :
( ( ( ~ ( member_c_d @ SV349 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
= $true )
| ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SV345 ) @ SV349 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SV345 @ SV349 ) ) )
= $true )
| ( ( member_c_d @ SV345 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1717]) ).
thf(1719,plain,
! [SV345: c > d,SV325: c > d,SV349: c > d] :
( ( ( member_c_d @ SV349 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SV345 ) @ SV349 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SV345 @ SV349 ) ) )
= $true )
| ( ( member_c_d @ SV345 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1718]) ).
thf(1720,plain,
! [SV349: c > d,SV345: c > d,SV325: c > d] :
( ( ( ! [SV350: c] :
( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SV345 ) @ SV349 @ SV350 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SV345 @ SV349 ) @ SV350 ) ) )
= $true )
| ( ( member_c_d @ SV349 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV345 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1719]) ).
thf(1721,plain,
! [SV349: c > d,SV345: c > d,SV325: c > d] :
( ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SV345 ) @ SV349 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SV345 @ SV349 ) ) )
= $true )
| ( ( member_c_d @ SV349 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV345 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1719]) ).
thf(1722,plain,
! [SV351: c,SV349: c > d,SV345: c > d,SV325: c > d] :
( ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ SV325 @ SV345 ) @ SV349 @ SV351 )
= ( prod_p131511076_d_a_e @ i @ m @ SV325 @ ( prod_p131511076_d_a_e @ i @ m @ SV345 @ SV349 ) @ SV351 ) )
= $true )
| ( ( member_c_d @ SV349 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV345 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false )
| ( ( member_c_d @ SV325 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(1723,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[539,1722,1721,1714,1713,1712,1710,1708,1707,1705,1704,1700,1697,1694,1691,1690,1689,1688,1687,1685,1683,1681,1679,1677,1676,1673,1672,1671,1670,1669,1664,1663,1661,1658,1657,1655,1652,1651,1650,1649,1647,1645,1643,1642,1639,1637,1636,1635,1628,1627,1625,1621,1620,1618,1614,1613,1612,1611,1606,1602,1596,1594,1592,1591,1589,1588,1587,1586,1585,1580,1577,1575,1571,1568,1566,1562,1561,1554,1552,1551,1546,1543,1539,1536,1534,1533,1532,1531,1530,1522,1515,1508,1507,1504,1499,1498,1497,1496,1494,1492,1490,1486,1485,1480,1478,1473,1467,1466,1465,1464,1459,1458,1457,1456,1455,1454,1450,1445,1444,1440,1435,1433,1421,1417,1413,1411,1410,1405,1404,1400,1385,1379,1378,1370,1361,1359,1356,1355,1347,1345,1339,1337,1335,1332,1331,1329,1326,1324,1319,1316,1315,1310,1308,1303,1282,1280,1273,1266,1259,1256,1252,1246,1241,1239,1231,1230,1224,1222,1199,1161,1160,1155,1153,1131,1114,1101,1100,1094,1081,1068,1043,1038,1035,1033,1032,1031,1030,1029,1028,1027,1026,1025,1023,1020,1019,1018,1017,1016,1009,999,994,989,988,987,982,957,956,955,937,929,928,922,916,914,912,908,904,903,894,864,855,837,832,830,828,819,764,726,713,703,659,648,646,637,551,550,544]) ).
thf(1724,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1723]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP027^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 11:14:21 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.77/10.48 ...
% 60.77/10.48
% 60.77/10.48 No.of.Axioms: 357
% 60.77/10.48
% 60.77/10.48 Length.of.Defs: 0
% 60.77/10.48
% 60.77/10.48 Contains.Choice.Funs: false
% 60.77/10.48 ........................................................
% 60.77/10.48
% 60.77/10.48 ********************************
% 60.77/10.48 * All subproblems solved! *
% 60.77/10.48 ********************************
% 60.77/10.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:49,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1723,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 60.77/10.48
% 60.77/10.48 %**** Beginning of derivation protocol ****
% 60.77/10.48 % SZS output start CNFRefutation
% See solution above
% 10.29/10.50
% 10.29/10.50 %**** End of derivation protocol ****
% 10.29/10.50 %**** no. of clauses in derivation: 1416 ****
% 10.29/10.50 %**** clause counter: 1723 ****
% 10.29/10.50
% 10.29/10.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:49,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1723,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------