%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP041^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 10:23:47 AM UTC 2026
% Result : Theorem 3.86s 1.03s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 21
% Syntax : Number of formulae : 445 ( 165 unt; 0 typ; 0 def)
% Number of atoms : 3308 (1518 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 7106 ( 699 ~; 714 |; 15 &;5642 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 24 ( 23 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 146 ( 143 usr; 19 con; 0-4 aty)
% Number of variables : 1914 ( 449 ^;1456 !; 9 ?;1914 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c,type,
c: $tType ).
thf(tp_denota231621370t_unit,type,
denota231621370t_unit: $tType ).
thf(tp_filter_real,type,
filter_real: $tType ).
thf(tp_finite1398487019real_c,type,
finite1398487019real_c: $tType ).
thf(tp_formula_a_b_c,type,
formula_a_b_c: $tType ).
thf(tp_hp_a_b_c,type,
hp_a_b_c: $tType ).
thf(tp_oDE_a_c,type,
oDE_a_c: $tType ).
thf(tp_produc1398711912c_real,type,
produc1398711912c_real: $tType ).
thf(tp_produc190496183real_c,type,
produc190496183real_c: $tType ).
thf(tp_produc214722967um_c_c,type,
produc214722967um_c_c: $tType ).
thf(tp_produc754691304um_c_c,type,
produc754691304um_c_c: $tType ).
thf(tp_produc957004601l_real,type,
produc957004601l_real: $tType ).
thf(tp_real,type,
real: $tType ).
thf(tp_set_Fi1407883041real_c,type,
set_Fi1407883041real_c: $tType ).
thf(tp_set_Pr1389752855real_c,type,
set_Pr1389752855real_c: $tType ).
thf(tp_set_Su1783761653um_b_c,type,
set_Su1783761653um_b_c: $tType ).
thf(tp_set_Sum_sum_c_c,type,
set_Sum_sum_c_c: $tType ).
thf(tp_set_Sum_sum_c_d,type,
set_Sum_sum_c_d: $tType ).
thf(tp_set_c,type,
set_c: $tType ).
thf(tp_set_real,type,
set_real: $tType ).
thf(tp_set_set_Sum_sum_c_c,type,
set_set_Sum_sum_c_c: $tType ).
thf(tp_sum_sum_c_c,type,
sum_sum_c_c: $tType ).
thf(tp_sum_sum_c_d,type,
sum_sum_c_d: $tType ).
thf(tp_a,type,
a: finite1398487019real_c ).
thf(tp_aa,type,
aa: finite1398487019real_c ).
thf(tp_ab,type,
ab: finite1398487019real_c ).
thf(tp_b,type,
b: finite1398487019real_c ).
thf(tp_bNF_Ca1693016812um_c_c,type,
bNF_Ca1693016812um_c_c: set_Pr1389752855real_c > ( finite1398487019real_c > set_Sum_sum_c_c ) > $o ).
thf(tp_bNF_Ca449034301c_real,type,
bNF_Ca449034301c_real: set_Pr1389752855real_c > ( finite1398487019real_c > real ) > $o ).
thf(tp_ba,type,
ba: finite1398487019real_c ).
thf(tp_bb,type,
bb: finite1398487019real_c ).
thf(tp_coinci1852866155_a_b_c,type,
coinci1852866155_a_b_c: hp_a_b_c > $o ).
thf(tp_coinci354700372_a_b_c,type,
coinci354700372_a_b_c: hp_a_b_c > denota231621370t_unit > denota231621370t_unit > $o ).
thf(tp_coinci501627771_a_b_c,type,
coinci501627771_a_b_c: formula_a_b_c > $o ).
thf(tp_coinci772602909_a_b_c,type,
coinci772602909_a_b_c: hp_a_b_c > denota231621370t_unit > $o ).
thf(tp_collec1643251106real_c,type,
collec1643251106real_c: ( produc190496183real_c > $o ) > set_Pr1389752855real_c ).
thf(tp_collec230941376real_c,type,
collec230941376real_c: ( finite1398487019real_c > $o ) > set_Fi1407883041real_c ).
thf(tp_collec95329456um_c_c,type,
collec95329456um_c_c: ( set_Sum_sum_c_c > $o ) > set_set_Sum_sum_c_c ).
thf(tp_collect_Sum_sum_c_c,type,
collect_Sum_sum_c_c: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c ).
thf(tp_collect_Sum_sum_c_d,type,
collect_Sum_sum_c_d: ( sum_sum_c_d > $o ) > set_Sum_sum_c_d ).
thf(tp_collect_c,type,
collect_c: ( c > $o ) > set_c ).
thf(tp_collect_real,type,
collect_real: ( real > $o ) > set_real ).
thf(tp_denota1275485728_a_b_c,type,
denota1275485728_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > finite1398487019real_c ).
thf(tp_denota1293057250_a_b_c,type,
denota1293057250_a_b_c: denota231621370t_unit > oDE_a_c > set_Sum_sum_c_c ).
thf(tp_denota161327353_a_b_c,type,
denota161327353_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).
thf(tp_denota1896987029_a_b_c,type,
denota1896987029_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > produc190496183real_c ).
thf(tp_denota1997846518gree_c,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(tp_denota256060419gree_c,type,
denota256060419gree_c: finite1398487019real_c > finite1398487019real_c > set_c > $o ).
thf(tp_denota69106024_a_b_c,type,
denota69106024_a_b_c: denota231621370t_unit > denota231621370t_unit > set_Su1783761653um_b_c > $o ).
thf(tp_denota968303861_a_b_c,type,
denota968303861_a_b_c: denota231621370t_unit > formula_a_b_c > set_Pr1389752855real_c ).
thf(tp_equiv_a_b_c,type,
equiv_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).
thf(tp_evolveODE_a_c_b,type,
evolveODE_a_c_b: oDE_a_c > formula_a_b_c > hp_a_b_c ).
thf(tp_fsafe_a_b_c,type,
fsafe_a_b_c: formula_a_b_c > $o ).
thf(tp_has_ve1904308670real_c,type,
has_ve1904308670real_c: ( real > finite1398487019real_c ) > finite1398487019real_c > filter_real > $o ).
thf(tp_has_ve217091583e_real,type,
has_ve217091583e_real: ( real > real ) > real > filter_real > $o ).
thf(tp_has_ve373335844real_c,type,
has_ve373335844real_c: ( real > produc190496183real_c ) > produc190496183real_c > filter_real > $o ).
thf(tp_hpsafe_a_b_c,type,
hpsafe_a_b_c: hp_a_b_c > $o ).
thf(tp_i,type,
i: denota231621370t_unit ).
thf(tp_image_1146069259real_c,type,
image_1146069259real_c: ( sum_sum_c_c > produc190496183real_c ) > set_Sum_sum_c_c > set_Pr1389752855real_c ).
thf(tp_image_1467045143um_c_c,type,
image_1467045143um_c_c: ( produc190496183real_c > sum_sum_c_c ) > set_Pr1389752855real_c > set_Sum_sum_c_c ).
thf(tp_image_1475306648um_c_d,type,
image_1475306648um_c_d: ( produc190496183real_c > sum_sum_c_d ) > set_Pr1389752855real_c > set_Sum_sum_c_d ).
thf(tp_image_1558941394um_c_c,type,
image_1558941394um_c_c: ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > set_Sum_sum_c_c ).
thf(tp_image_1567202899um_c_d,type,
image_1567202899um_c_d: ( sum_sum_c_d > sum_sum_c_d ) > set_Sum_sum_c_d > set_Sum_sum_c_d ).
thf(tp_image_1980705354real_c,type,
image_1980705354real_c: ( sum_sum_c_d > produc190496183real_c ) > set_Sum_sum_c_d > set_Pr1389752855real_c ).
thf(tp_image_327677598real_c,type,
image_327677598real_c: ( real > finite1398487019real_c ) > set_real > set_Fi1407883041real_c ).
thf(tp_image_666880337um_c_c,type,
image_666880337um_c_c: ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(tp_image_675141842um_c_d,type,
image_675141842um_c_d: ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > set_Sum_sum_c_d ).
thf(tp_image_c_Sum_sum_c_c,type,
image_c_Sum_sum_c_c: ( c > sum_sum_c_c ) > set_c > set_Sum_sum_c_c ).
thf(tp_image_c_Sum_sum_c_d,type,
image_c_Sum_sum_c_d: ( c > sum_sum_c_d ) > set_c > set_Sum_sum_c_d ).
thf(tp_image_real_real,type,
image_real_real: ( real > real ) > set_real > set_real ).
thf(tp_implies_a_b_c,type,
implies_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).
thf(tp_initia1631504802real_c,type,
initia1631504802real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c > finite1398487019real_c ) > set_real > set_Fi1407883041real_c > $o ).
thf(tp_j,type,
j: denota231621370t_unit ).
thf(tp_member1261661570real_c,type,
member1261661570real_c: finite1398487019real_c > set_Fi1407883041real_c > $o ).
thf(tp_member1895684704real_c,type,
member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).
thf(tp_member2124950898um_c_c,type,
member2124950898um_c_c: set_Sum_sum_c_c > set_set_Sum_sum_c_c > $o ).
thf(tp_member_Sum_sum_c_c,type,
member_Sum_sum_c_c: sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(tp_member_Sum_sum_c_d,type,
member_Sum_sum_c_d: sum_sum_c_d > set_Sum_sum_c_d > $o ).
thf(tp_member_c,type,
member_c: c > set_c > $o ).
thf(tp_member_real,type,
member_real: real > set_real > $o ).
thf(tp_oDE_dom_a_c,type,
oDE_dom_a_c: oDE_a_c > set_c ).
thf(tp_ode,type,
ode: oDE_a_c ).
thf(tp_ord_le1132241894al_c_o,type,
ord_le1132241894al_c_o: ( produc190496183real_c > $o ) > ( produc190496183real_c > $o ) > $o ).
thf(tp_ord_le1315653386_c_c_o,type,
ord_le1315653386_c_c_o: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > $o ).
thf(tp_ord_le1327118209real_c,type,
ord_le1327118209real_c: set_Fi1407883041real_c > set_Fi1407883041real_c > $o ).
thf(tp_ord_le132810396r_real,type,
ord_le132810396r_real: filter_real > filter_real > $o ).
thf(tp_ord_le1342644953l_real,type,
ord_le1342644953l_real: produc957004601l_real > produc957004601l_real > $o ).
thf(tp_ord_le1382916304al_c_o,type,
ord_le1382916304al_c_o: ( finite1398487019real_c > finite1398487019real_c > $o ) > ( finite1398487019real_c > finite1398487019real_c > $o ) > $o ).
thf(tp_ord_le1772180283um_c_c,type,
ord_le1772180283um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(tp_ord_le191210632um_c_c,type,
ord_le191210632um_c_c: produc754691304um_c_c > produc754691304um_c_c > $o ).
thf(tp_ord_le2143422793_c_d_o,type,
ord_le2143422793_c_d_o: ( sum_sum_c_d > $o ) > ( sum_sum_c_d > $o ) > $o ).
thf(tp_ord_le657554289um_c_c,type,
ord_le657554289um_c_c: set_set_Sum_sum_c_c > set_set_Sum_sum_c_c > $o ).
thf(tp_ord_le684454199um_c_c,type,
ord_le684454199um_c_c: produc214722967um_c_c > produc214722967um_c_c > $o ).
thf(tp_ord_le764260924um_c_d,type,
ord_le764260924um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d > $o ).
thf(tp_ord_le775706699real_c,type,
ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).
thf(tp_ord_le835231240c_real,type,
ord_le835231240c_real: produc1398711912c_real > produc1398711912c_real > $o ).
thf(tp_ord_le850691415real_c,type,
ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).
thf(tp_ord_le929608341um_b_c,type,
ord_le929608341um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > $o ).
thf(tp_ord_le977353143real_c,type,
ord_le977353143real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > $o ).
thf(tp_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(tp_ord_less_eq_set_c,type,
ord_less_eq_set_c: set_c > set_c > $o ).
thf(tp_ord_less_eq_set_real,type,
ord_less_eq_set_real: set_real > set_real > $o ).
thf(tp_osafe_a_c,type,
osafe_a_c: oDE_a_c > $o ).
thf(tp_p,type,
p: formula_a_b_c ).
thf(tp_produc1186709024um_c_c,type,
produc1186709024um_c_c: real > set_Sum_sum_c_c > produc754691304um_c_c ).
thf(tp_produc1439061071um_c_c,type,
produc1439061071um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > produc214722967um_c_c ).
thf(tp_produc1528874528c_real,type,
produc1528874528c_real: set_Sum_sum_c_c > real > produc1398711912c_real ).
thf(tp_produc394644079real_c,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(tp_produc705216881l_real,type,
produc705216881l_real: real > real > produc957004601l_real ).
thf(tp_s,type,
s: real ).
thf(tp_sK10_SV57,type,
sK10_SV57: set_Pr1389752855real_c > set_Pr1389752855real_c > finite1398487019real_c ).
thf(tp_sK11_SV58,type,
sK11_SV58: set_Pr1389752855real_c > set_Pr1389752855real_c > finite1398487019real_c ).
thf(tp_sK1_SY101,type,
sK1_SY101: produc190496183real_c > finite1398487019real_c ).
thf(tp_sK2_SY112,type,
sK2_SY112: produc190496183real_c > finite1398487019real_c ).
thf(tp_sK3_SY152,type,
sK3_SY152: produc190496183real_c > finite1398487019real_c ).
thf(tp_sK4_SY93,type,
sK4_SY93: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(tp_sK5_SY99,type,
sK5_SY99: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(tp_sK6_SY158,type,
sK6_SY158: finite1398487019real_c > oDE_a_c > denota231621370t_unit > produc190496183real_c > produc190496183real_c ).
thf(tp_sK7_SY159,type,
sK7_SY159: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(tp_sK8_SY160,type,
sK8_SY160: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(tp_sK9_SY156,type,
sK9_SY156: produc190496183real_c > finite1398487019real_c ).
thf(tp_set_or10334466real_c,type,
set_or10334466real_c: produc190496183real_c > set_Pr1389752855real_c ).
thf(tp_set_or1478397028real_c,type,
set_or1478397028real_c: finite1398487019real_c > set_Fi1407883041real_c ).
thf(tp_set_or2003963744real_c,type,
set_or2003963744real_c: finite1398487019real_c > set_Fi1407883041real_c ).
thf(tp_set_or2028906832um_c_c,type,
set_or2028906832um_c_c: set_Sum_sum_c_c > set_set_Sum_sum_c_c ).
thf(tp_set_or248124158real_c,type,
set_or248124158real_c: produc190496183real_c > set_Pr1389752855real_c ).
thf(tp_set_or326480468um_c_c,type,
set_or326480468um_c_c: set_Sum_sum_c_c > set_set_Sum_sum_c_c ).
thf(tp_set_or385782508real_c,type,
set_or385782508real_c: produc190496183real_c > produc190496183real_c > set_Pr1389752855real_c ).
thf(tp_set_or656347191t_real,type,
set_or656347191t_real: real > real > set_real ).
thf(tp_set_or935154662um_c_c,type,
set_or935154662um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_set_Sum_sum_c_c ).
thf(tp_set_ord_atLeast_real,type,
set_ord_atLeast_real: real > set_real ).
thf(tp_set_ord_atMost_real,type,
set_ord_atMost_real: real > set_real ).
thf(tp_sol,type,
sol: real > finite1398487019real_c ).
thf(tp_static_BVO_a_c,type,
static_BVO_a_c: oDE_a_c > set_Sum_sum_c_c ).
thf(tp_static_FVF_a_b_c,type,
static_FVF_a_b_c: formula_a_b_c > set_Sum_sum_c_c ).
thf(tp_static_FVO_a_c,type,
static_FVO_a_c: oDE_a_c > set_c ).
thf(tp_static_SIGF_a_b_c,type,
static_SIGF_a_b_c: formula_a_b_c > set_Su1783761653um_b_c ).
thf(tp_sum_Inl_c_c,type,
sum_Inl_c_c: c > sum_sum_c_c ).
thf(tp_sum_Inl_c_d,type,
sum_Inl_c_d: c > sum_sum_c_d ).
thf(tp_sum_Inr_c_c,type,
sum_Inr_c_c: c > sum_sum_c_c ).
thf(tp_sup_su1349021703um_c_c,type,
sup_su1349021703um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(tp_t,type,
t: real ).
thf(tp_the_Pr1290640446real_c,type,
the_Pr1290640446real_c: ( produc190496183real_c > $o ) > produc190496183real_c ).
thf(tp_topolo1830106092n_real,type,
topolo1830106092n_real: real > set_real > filter_real ).
thf(tp_uminus102402154real_c,type,
uminus102402154real_c: set_Fi1407883041real_c > set_Fi1407883041real_c ).
thf(tp_uminus1225118734um_c_c,type,
uminus1225118734um_c_c: produc214722967um_c_c > produc214722967um_c_c ).
thf(tp_uminus125610847c_real,type,
uminus125610847c_real: produc1398711912c_real > produc1398711912c_real ).
thf(tp_uminus1381786404um_c_c,type,
uminus1381786404um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(tp_uminus1629073887um_c_c,type,
uminus1629073887um_c_c: produc754691304um_c_c > produc754691304um_c_c ).
thf(tp_uminus1737280820real_c,type,
uminus1737280820real_c: finite1398487019real_c > finite1398487019real_c ).
thf(tp_uminus17964590real_c,type,
uminus17964590real_c: produc190496183real_c > produc190496183real_c ).
thf(tp_uminus232257166real_c,type,
uminus232257166real_c: set_Pr1389752855real_c > set_Pr1389752855real_c ).
thf(tp_uminus23580315al_c_o,type,
uminus23580315al_c_o: ( finite1398487019real_c > $o ) > finite1398487019real_c > $o ).
thf(tp_uminus32155087al_c_o,type,
uminus32155087al_c_o: ( produc190496183real_c > $o ) > produc190496183real_c > $o ).
thf(tp_uminus373867045um_c_d,type,
uminus373867045um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d ).
thf(tp_uminus856758960l_real,type,
uminus856758960l_real: produc957004601l_real > produc957004601l_real ).
thf(tp_uminus88729697_c_c_o,type,
uminus88729697_c_c_o: ( sum_sum_c_c > $o ) > sum_sum_c_c > $o ).
thf(tp_uminus916499104_c_d_o,type,
uminus916499104_c_d_o: ( sum_sum_c_d > $o ) > sum_sum_c_d > $o ).
thf(tp_uminus_uminus_c_o,type,
uminus_uminus_c_o: ( c > $o ) > c > $o ).
thf(tp_uminus_uminus_real,type,
uminus_uminus_real: real > real ).
thf(tp_uminus_uminus_set_c,type,
uminus_uminus_set_c: set_c > set_c ).
thf(tp_v,type,
v: set_Sum_sum_c_c ).
thf(tp_zero_z109254132real_c,type,
zero_z109254132real_c: finite1398487019real_c ).
thf(tp_zero_z1506780526real_c,type,
zero_z1506780526real_c: produc190496183real_c ).
thf(tp_zero_z659284464l_real,type,
zero_z659284464l_real: produc957004601l_real ).
thf(tp_zero_zero_real,type,
zero_zero_real: real ).
thf(79,axiom,
! [R3: finite1398487019real_c,S: finite1398487019real_c,R2: set_Pr1389752855real_c,S3: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ R3 @ S ) @ R2 )
=> ( ( S3 = S )
=> ( member1895684704real_c @ ( produc394644079real_c @ R3 @ S3 ) @ R2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_ssubst__Pair__rhs) ).
thf(117,axiom,
! [R2: set_Pr1389752855real_c,S2: set_Pr1389752855real_c] :
( ( ( ^ [X4: finite1398487019real_c,Y6: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y6 ) @ R2 ) )
= ( ^ [X4: finite1398487019real_c,Y6: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y6 ) @ S2 ) ) )
= ( R2 = S2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_235_pred__equals__eq2) ).
thf(132,axiom,
( denota1896987029_a_b_c
= ( ^ [I3: denota231621370t_unit,ODE2: oDE_a_c,Sol2: finite1398487019real_c] : ( produc394644079real_c @ Sol2 @ ( denota1275485728_a_b_c @ I3 @ ODE2 @ Sol2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_mk__xode_Osimps) ).
thf(133,axiom,
! [X3: denota231621370t_unit,Xa: oDE_a_c,Xb: finite1398487019real_c,Y3: produc190496183real_c] :
( ( ( denota1896987029_a_b_c @ X3 @ Xa @ Xb )
= Y3 )
=> ( Y3
= ( produc394644079real_c @ Xb @ ( denota1275485728_a_b_c @ X3 @ Xa @ Xb ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_mk__xode_Oelims) ).
thf(261,axiom,
! [B3: set_Sum_sum_c_c,A3: set_Sum_sum_c_c,Nu: produc190496183real_c,Nu2: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ B3 @ A3 )
=> ( ( denota1997846518gree_c @ Nu @ Nu2 @ A3 )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_agree__supset) ).
thf(262,axiom,
! [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c,Nu: produc190496183real_c,Omega2: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ A3 @ B3 )
=> ( ( denota1997846518gree_c @ Nu @ Omega2 @ B3 )
=> ( denota1997846518gree_c @ Nu @ Omega2 @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_agree__sub) ).
thf(333,axiom,
! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_Pair__inject) ).
thf(334,axiom,
! [Y3: produc190496183real_c] :
~ ! [A4: finite1398487019real_c,B4: finite1398487019real_c] :
( Y3
!= ( produc394644079real_c @ A4 @ B4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_old_Oprod_Oexhaust) ).
thf(335,axiom,
! [P2: produc190496183real_c > $o,Prod: produc190496183real_c] :
( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] : ( P2 @ ( produc394644079real_c @ A4 @ B4 ) )
=> ( P2 @ Prod ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_old_Oprod_Oinducts) ).
thf(338,axiom,
! [P2: produc190496183real_c > $o,P: produc190496183real_c] :
( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] : ( P2 @ ( produc394644079real_c @ A4 @ B4 ) )
=> ( P2 @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_prod__cases) ).
thf(339,axiom,
! [P: produc190496183real_c] :
? [X: finite1398487019real_c,Y: finite1398487019real_c] :
( P
= ( produc394644079real_c @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_surj__pair) ).
thf(341,axiom,
! [Nu: produc190496183real_c,A3: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu @ Nu @ A3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_agree__refl) ).
thf(342,axiom,
! [A3: produc190496183real_c,B3: produc190496183real_c,V: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ A3 @ B3 @ V )
=> ( denota1997846518gree_c @ B3 @ A3 @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_agree__comm) ).
thf(346,axiom,
! [Nu: produc190496183real_c,I: denota231621370t_unit,ODE: oDE_a_c,Sol: finite1398487019real_c] :
? [Omega: produc190496183real_c] :
( ( denota1997846518gree_c @ Omega @ Nu @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
& ( denota1997846518gree_c @ Omega @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_mk__v__exists) ).
thf(347,axiom,
! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_old_Oprod_Oinject) ).
thf(348,axiom,
! [X1: finite1398487019real_c,X2: finite1398487019real_c,Y1: finite1398487019real_c,Y2: finite1398487019real_c] :
( ( ( produc394644079real_c @ X1 @ X2 )
= ( produc394644079real_c @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_prod_Oinject) ).
thf(349,axiom,
! [I: denota231621370t_unit,ODE: oDE_a_c,Nu: produc190496183real_c,Sol: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu @ Sol ) @ Nu @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu @ Sol ) @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_mk__v__agree) ).
thf(350,axiom,
! [S: real] : ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ S ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062_092_060And_062sa_O_AVagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_Asa_J_J_A_Iaa_M_Aba_J_A_I_N_AsemBV_AJ_AODE_J_092_060close_062) ).
thf(351,axiom,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062Vagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_As_J_J_A_Iaa_M_Aba_J_A_I_N_AsemBV_AJ_AODE_J_A_092_060and_062_AVagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_As_J_J_A_Imk__xode_AJ_AODE_A_Isol_As_J_J_A_IsemBV_AJ_AODE_J_092_060close_062) ).
thf(352,axiom,
osafe_a_c @ ode,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_osafe) ).
thf(353,conjecture,
denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(354,negated_conjecture,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
= $false ),
inference(negate_conjecture,[status(cth)],[353]) ).
thf(355,plain,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
= $false ),
inference(unfold_def,[status(thm)],[354]) ).
thf(356,plain,
( ( ! [R3: finite1398487019real_c,S: finite1398487019real_c,R2: set_Pr1389752855real_c,S3: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ R3 @ S ) @ R2 )
=> ( ( S3 = S )
=> ( member1895684704real_c @ ( produc394644079real_c @ R3 @ S3 ) @ R2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(357,plain,
( ( ! [R2: set_Pr1389752855real_c,S2: set_Pr1389752855real_c] :
( ( ( ^ [X4: finite1398487019real_c,Y6: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y6 ) @ R2 ) )
= ( ^ [X4: finite1398487019real_c,Y6: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y6 ) @ S2 ) ) )
= ( R2 = S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(358,plain,
( ( denota1896987029_a_b_c
= ( ^ [I3: denota231621370t_unit,ODE2: oDE_a_c,Sol2: finite1398487019real_c] : ( produc394644079real_c @ Sol2 @ ( denota1275485728_a_b_c @ I3 @ ODE2 @ Sol2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(359,plain,
( ( ! [X3: denota231621370t_unit,Xa: oDE_a_c,Xb: finite1398487019real_c,Y3: produc190496183real_c] :
( ( ( denota1896987029_a_b_c @ X3 @ Xa @ Xb )
= Y3 )
=> ( Y3
= ( produc394644079real_c @ Xb @ ( denota1275485728_a_b_c @ X3 @ Xa @ Xb ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(360,plain,
( ( ! [B3: set_Sum_sum_c_c,A3: set_Sum_sum_c_c,Nu: produc190496183real_c,Nu2: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ B3 @ A3 )
=> ( ( denota1997846518gree_c @ Nu @ Nu2 @ A3 )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(361,plain,
( ( ! [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c,Nu: produc190496183real_c,Omega2: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ A3 @ B3 )
=> ( ( denota1997846518gree_c @ Nu @ Omega2 @ B3 )
=> ( denota1997846518gree_c @ Nu @ Omega2 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(362,plain,
( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(363,plain,
( ( ! [Y3: produc190496183real_c] :
~ ! [A4: finite1398487019real_c,B4: finite1398487019real_c] :
( Y3
!= ( produc394644079real_c @ A4 @ B4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(364,plain,
( ( ! [P2: produc190496183real_c > $o,Prod: produc190496183real_c] :
( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] : ( P2 @ ( produc394644079real_c @ A4 @ B4 ) )
=> ( P2 @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(365,plain,
( ( ! [P2: produc190496183real_c > $o,P: produc190496183real_c] :
( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] : ( P2 @ ( produc394644079real_c @ A4 @ B4 ) )
=> ( P2 @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(366,plain,
( ( ! [P: produc190496183real_c] :
? [X: finite1398487019real_c,Y: finite1398487019real_c] :
( P
= ( produc394644079real_c @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(367,plain,
( ( ! [Nu: produc190496183real_c,A3: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu @ Nu @ A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(368,plain,
( ( ! [A3: produc190496183real_c,B3: produc190496183real_c,V: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ A3 @ B3 @ V )
=> ( denota1997846518gree_c @ B3 @ A3 @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(369,plain,
( ( ! [Nu: produc190496183real_c,I: denota231621370t_unit,ODE: oDE_a_c,Sol: finite1398487019real_c] :
? [Omega: produc190496183real_c] :
( ( denota1997846518gree_c @ Omega @ Nu @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
& ( denota1997846518gree_c @ Omega @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(370,plain,
( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(371,plain,
( ( ! [X1: finite1398487019real_c,X2: finite1398487019real_c,Y1: finite1398487019real_c,Y2: finite1398487019real_c] :
( ( ( produc394644079real_c @ X1 @ X2 )
= ( produc394644079real_c @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(372,plain,
( ( ! [I: denota231621370t_unit,ODE: oDE_a_c,Nu: produc190496183real_c,Sol: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu @ Sol ) @ Nu @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu @ Sol ) @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(373,plain,
( ( ! [S: real] : ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ S ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(374,plain,
( ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(375,plain,
( ( osafe_a_c @ ode )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(376,plain,
( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[355]) ).
thf(377,plain,
( ( osafe_a_c @ ode )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(378,plain,
( ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(379,plain,
( ( ! [S: real] : ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ S ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(380,plain,
( ( ! [I: denota231621370t_unit,ODE: oDE_a_c,Nu: produc190496183real_c,Sol: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu @ Sol ) @ Nu @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu @ Sol ) @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(381,plain,
( ( ! [X1: finite1398487019real_c,X2: finite1398487019real_c,Y1: finite1398487019real_c,Y2: finite1398487019real_c] :
( ( ( produc394644079real_c @ X1 @ X2 )
= ( produc394644079real_c @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(382,plain,
( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(383,plain,
( ( ! [Nu: produc190496183real_c,I: denota231621370t_unit,ODE: oDE_a_c,Sol: finite1398487019real_c] :
? [Omega: produc190496183real_c] :
( ( denota1997846518gree_c @ Omega @ Nu @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
& ( denota1997846518gree_c @ Omega @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(384,plain,
( ( ! [A3: produc190496183real_c,B3: produc190496183real_c,V: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ A3 @ B3 @ V )
=> ( denota1997846518gree_c @ B3 @ A3 @ V ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(385,plain,
( ( ! [Nu: produc190496183real_c,A3: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu @ Nu @ A3 ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(386,plain,
( ( ! [P: produc190496183real_c] :
? [X: finite1398487019real_c,Y: finite1398487019real_c] :
( P
= ( produc394644079real_c @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(387,plain,
( ( ! [P2: produc190496183real_c > $o,P: produc190496183real_c] :
( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] : ( P2 @ ( produc394644079real_c @ A4 @ B4 ) )
=> ( P2 @ P ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(388,plain,
( ( ! [P2: produc190496183real_c > $o,Prod: produc190496183real_c] :
( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] : ( P2 @ ( produc394644079real_c @ A4 @ B4 ) )
=> ( P2 @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(389,plain,
( ( ! [Y3: produc190496183real_c] :
~ ! [A4: finite1398487019real_c,B4: finite1398487019real_c] :
( Y3
!= ( produc394644079real_c @ A4 @ B4 ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(390,plain,
( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(391,plain,
( ( ! [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c,Nu: produc190496183real_c,Omega2: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ A3 @ B3 )
=> ( ( denota1997846518gree_c @ Nu @ Omega2 @ B3 )
=> ( denota1997846518gree_c @ Nu @ Omega2 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(392,plain,
( ( ! [B3: set_Sum_sum_c_c,A3: set_Sum_sum_c_c,Nu: produc190496183real_c,Nu2: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ B3 @ A3 )
=> ( ( denota1997846518gree_c @ Nu @ Nu2 @ A3 )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(393,plain,
( ( ! [X3: denota231621370t_unit,Xa: oDE_a_c,Xb: finite1398487019real_c,Y3: produc190496183real_c] :
( ( ( denota1896987029_a_b_c @ X3 @ Xa @ Xb )
= Y3 )
=> ( Y3
= ( produc394644079real_c @ Xb @ ( denota1275485728_a_b_c @ X3 @ Xa @ Xb ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(394,plain,
( ( denota1896987029_a_b_c
= ( ^ [I3: denota231621370t_unit,ODE2: oDE_a_c,Sol2: finite1398487019real_c] : ( produc394644079real_c @ Sol2 @ ( denota1275485728_a_b_c @ I3 @ ODE2 @ Sol2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(395,plain,
( ( ! [R2: set_Pr1389752855real_c,S2: set_Pr1389752855real_c] :
( ( ( ^ [X4: finite1398487019real_c,Y6: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y6 ) @ R2 ) )
= ( ^ [X4: finite1398487019real_c,Y6: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y6 ) @ S2 ) ) )
= ( R2 = S2 ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(396,plain,
( ( ! [R3: finite1398487019real_c,S: finite1398487019real_c,R2: set_Pr1389752855real_c,S3: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ R3 @ S ) @ R2 )
=> ( ( S3 = S )
=> ( member1895684704real_c @ ( produc394644079real_c @ R3 @ S3 ) @ R2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(397,plain,
( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(398,plain,
( ( ! [SX0: produc190496183real_c,SX1: denota231621370t_unit,SX2: oDE_a_c,SX3: finite1398487019real_c] :
~ ! [SX4: produc190496183real_c] :
~ ~ ( ~ ( denota1997846518gree_c @ SX4 @ SX0 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SX1 @ SX2 ) ) )
| ~ ( denota1997846518gree_c @ SX4 @ ( denota1896987029_a_b_c @ SX1 @ SX2 @ SX3 ) @ ( denota1293057250_a_b_c @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(399,plain,
( ( ! [SX0: denota231621370t_unit,SX1: oDE_a_c,SX2: finite1398487019real_c,SX3: produc190496183real_c] :
( ( ( denota1896987029_a_b_c @ SX0 @ SX1 @ SX2 )
!= SX3 )
| ( SX3
= ( produc394644079real_c @ SX2 @ ( denota1275485728_a_b_c @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(400,plain,
( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: set_Pr1389752855real_c,SX3: finite1398487019real_c] :
( ~ ( member1895684704real_c @ ( produc394644079real_c @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member1895684704real_c @ ( produc394644079real_c @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(401,plain,
( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
( ( ( produc394644079real_c @ SX0 @ SX1 )
= ( produc394644079real_c @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(402,plain,
( ( ~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
| ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(403,plain,
( ( ! [SX0: denota231621370t_unit,SX1: oDE_a_c,SX2: produc190496183real_c,SX3: finite1398487019real_c] :
~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX2 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SX0 @ SX1 ) ) )
| ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( denota1896987029_a_b_c @ SX0 @ SX1 @ SX3 ) @ ( denota1293057250_a_b_c @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(404,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ SX2 )
| ( denota1997846518gree_c @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(405,plain,
( ( ! [SX0: produc190496183real_c > $o,SX1: produc190496183real_c] :
( ~ ! [SX2: finite1398487019real_c,SX3: finite1398487019real_c] : ( SX0 @ ( produc394644079real_c @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(406,plain,
( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
( ( ( produc394644079real_c @ SX0 @ SX1 )
!= ( produc394644079real_c @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(407,plain,
( ( ! [SX0: produc190496183real_c > $o,SX1: produc190496183real_c] :
( ~ ! [SX2: finite1398487019real_c,SX3: finite1398487019real_c] : ( SX0 @ ( produc394644079real_c @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(408,plain,
( ( ! [SX0: produc190496183real_c] :
~ ! [SX1: finite1398487019real_c,SX2: finite1398487019real_c] :
( SX0
!= ( produc394644079real_c @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(409,plain,
( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
( ( ( produc394644079real_c @ SX0 @ SX1 )
= ( produc394644079real_c @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(410,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: produc190496183real_c,SX3: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ~ ( denota1997846518gree_c @ SX2 @ SX3 @ SX1 )
| ( denota1997846518gree_c @ SX2 @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(411,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: produc190496183real_c,SX3: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ~ ( denota1997846518gree_c @ SX2 @ SX3 @ SX1 )
| ( denota1997846518gree_c @ SX2 @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(412,plain,
( ( ! [SX0: produc190496183real_c] :
~ ! [SX1: finite1398487019real_c] :
~ ~ ! [SX2: finite1398487019real_c] :
( SX0
!= ( produc394644079real_c @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(413,plain,
! [SV1: real] :
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ SV1 ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(414,plain,
! [SV2: produc190496183real_c] :
( ( ! [SY66: set_Sum_sum_c_c] : ( denota1997846518gree_c @ SV2 @ SV2 @ SY66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(415,plain,
( ( ! [SV3: denota231621370t_unit] :
( ( denota1896987029_a_b_c @ SV3 )
= ( ^ [SY67: oDE_a_c,SY68: finite1398487019real_c] : ( produc394644079real_c @ SY68 @ ( denota1275485728_a_b_c @ SV3 @ SY67 @ SY68 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[394]) ).
thf(416,plain,
( ( denota1896987029_a_b_c
= ( ^ [I3: denota231621370t_unit,ODE2: oDE_a_c,Sol2: finite1398487019real_c] : ( produc394644079real_c @ Sol2 @ ( denota1275485728_a_b_c @ I3 @ ODE2 @ Sol2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[394]) ).
thf(417,plain,
! [SV4: set_Pr1389752855real_c] :
( ( ! [SY69: set_Pr1389752855real_c] :
( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [X4: finite1398487019real_c,Y6: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y6 ) @ SY69 ) ) )
= ( SV4 = SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(418,plain,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(419,plain,
! [SV5: produc190496183real_c] :
( ( ! [SY74: denota231621370t_unit,SY75: oDE_a_c,SY76: finite1398487019real_c] :
~ ! [SY77: produc190496183real_c] :
~ ~ ( ~ ( denota1997846518gree_c @ SY77 @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SY74 @ SY75 ) ) )
| ~ ( denota1997846518gree_c @ SY77 @ ( denota1896987029_a_b_c @ SY74 @ SY75 @ SY76 ) @ ( denota1293057250_a_b_c @ SY74 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(420,plain,
! [SV6: denota231621370t_unit] :
( ( ! [SY78: oDE_a_c,SY79: finite1398487019real_c,SY80: produc190496183real_c] :
( ( ( denota1896987029_a_b_c @ SV6 @ SY78 @ SY79 )
!= SY80 )
| ( SY80
= ( produc394644079real_c @ SY79 @ ( denota1275485728_a_b_c @ SV6 @ SY78 @ SY79 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(421,plain,
! [SV7: finite1398487019real_c] :
( ( ! [SY81: finite1398487019real_c,SY82: set_Pr1389752855real_c,SY83: finite1398487019real_c] :
( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SY81 ) @ SY82 )
| ( SY83 != SY81 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SY83 ) @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(422,plain,
! [SV8: finite1398487019real_c] :
( ( ! [SY84: finite1398487019real_c,SY85: finite1398487019real_c,SY86: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV8 @ SY84 )
= ( produc394644079real_c @ SY85 @ SY86 ) )
= ( ~ ( ( SV8 != SY85 )
| ( SY84 != SY86 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(423,plain,
( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
| ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(424,plain,
! [SV9: denota231621370t_unit] :
( ( ! [SY87: oDE_a_c,SY88: produc190496183real_c,SY89: finite1398487019real_c] :
~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SY87 @ SY88 @ SY89 ) @ SY88 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV9 @ SY87 ) ) )
| ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SY87 @ SY88 @ SY89 ) @ ( denota1896987029_a_b_c @ SV9 @ SY87 @ SY89 ) @ ( denota1293057250_a_b_c @ SV9 @ SY87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(425,plain,
! [SV10: produc190496183real_c] :
( ( ! [SY90: produc190496183real_c,SY91: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SV10 @ SY90 @ SY91 )
| ( denota1997846518gree_c @ SY90 @ SV10 @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(426,plain,
! [SV11: produc190496183real_c > $o] :
( ( ! [SY92: produc190496183real_c] :
( ~ ! [SY93: finite1398487019real_c,SY94: finite1398487019real_c] : ( SV11 @ ( produc394644079real_c @ SY93 @ SY94 ) )
| ( SV11 @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(427,plain,
! [SV12: finite1398487019real_c] :
( ( ! [SY95: finite1398487019real_c,SY96: finite1398487019real_c,SY97: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV12 @ SY95 )
!= ( produc394644079real_c @ SY96 @ SY97 ) )
| ~ ( ( SV12 != SY96 )
| ( SY95 != SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(428,plain,
! [SV13: produc190496183real_c > $o] :
( ( ! [SY98: produc190496183real_c] :
( ~ ! [SY99: finite1398487019real_c,SY100: finite1398487019real_c] : ( SV13 @ ( produc394644079real_c @ SY99 @ SY100 ) )
| ( SV13 @ SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(429,plain,
! [SV14: produc190496183real_c] :
( ( ~ ! [SY101: finite1398487019real_c,SY102: finite1398487019real_c] :
( SV14
!= ( produc394644079real_c @ SY101 @ SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(430,plain,
! [SV15: finite1398487019real_c] :
( ( ! [SY103: finite1398487019real_c,SY104: finite1398487019real_c,SY105: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV15 @ SY103 )
= ( produc394644079real_c @ SY104 @ SY105 ) )
= ( ~ ( ( SV15 != SY104 )
| ( SY103 != SY105 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(431,plain,
! [SV16: set_Sum_sum_c_c] :
( ( ! [SY106: set_Sum_sum_c_c,SY107: produc190496183real_c,SY108: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV16 @ SY106 )
| ~ ( denota1997846518gree_c @ SY107 @ SY108 @ SY106 )
| ( denota1997846518gree_c @ SY107 @ SY108 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(432,plain,
! [SV17: set_Sum_sum_c_c] :
( ( ! [SY109: set_Sum_sum_c_c,SY110: produc190496183real_c,SY111: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV17 @ SY109 )
| ~ ( denota1997846518gree_c @ SY110 @ SY111 @ SY109 )
| ( denota1997846518gree_c @ SY110 @ SY111 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(433,plain,
! [SV18: produc190496183real_c] :
( ( ~ ! [SY112: finite1398487019real_c] :
~ ~ ! [SY113: finite1398487019real_c] :
( SV18
!= ( produc394644079real_c @ SY112 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(434,plain,
! [SV19: set_Sum_sum_c_c,SV2: produc190496183real_c] :
( ( denota1997846518gree_c @ SV2 @ SV2 @ SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(435,plain,
! [SV20: denota231621370t_unit] :
( ( ( denota1896987029_a_b_c @ SV20 )
= ( ^ [SY114: oDE_a_c,SY115: finite1398487019real_c] : ( produc394644079real_c @ SY115 @ ( denota1275485728_a_b_c @ SV20 @ SY114 @ SY115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(436,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= ( SV4 = SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(437,plain,
! [SV22: denota231621370t_unit,SV5: produc190496183real_c] :
( ( ! [SY120: oDE_a_c,SY121: finite1398487019real_c] :
~ ! [SY122: produc190496183real_c] :
~ ~ ( ~ ( denota1997846518gree_c @ SY122 @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV22 @ SY120 ) ) )
| ~ ( denota1997846518gree_c @ SY122 @ ( denota1896987029_a_b_c @ SV22 @ SY120 @ SY121 ) @ ( denota1293057250_a_b_c @ SV22 @ SY120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(438,plain,
! [SV23: oDE_a_c,SV6: denota231621370t_unit] :
( ( ! [SY123: finite1398487019real_c,SY124: produc190496183real_c] :
( ( ( denota1896987029_a_b_c @ SV6 @ SV23 @ SY123 )
!= SY124 )
| ( SY124
= ( produc394644079real_c @ SY123 @ ( denota1275485728_a_b_c @ SV6 @ SV23 @ SY123 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(439,plain,
! [SV24: finite1398487019real_c,SV7: finite1398487019real_c] :
( ( ! [SY125: set_Pr1389752855real_c,SY126: finite1398487019real_c] :
( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV24 ) @ SY125 )
| ( SY126 != SV24 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SY126 ) @ SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(440,plain,
! [SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ! [SY127: finite1398487019real_c,SY128: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SY127 @ SY128 ) )
= ( ~ ( ( SV8 != SY127 )
| ( SV25 != SY128 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(441,plain,
( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(442,plain,
( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(443,plain,
! [SV26: oDE_a_c,SV9: denota231621370t_unit] :
( ( ! [SY129: produc190496183real_c,SY130: finite1398487019real_c] :
~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SY129 @ SY130 ) @ SY129 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) )
| ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SY129 @ SY130 ) @ ( denota1896987029_a_b_c @ SV9 @ SV26 @ SY130 ) @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(444,plain,
! [SV27: produc190496183real_c,SV10: produc190496183real_c] :
( ( ! [SY131: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SV10 @ SV27 @ SY131 )
| ( denota1997846518gree_c @ SV27 @ SV10 @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(445,plain,
! [SV28: produc190496183real_c,SV11: produc190496183real_c > $o] :
( ( ~ ! [SY93: finite1398487019real_c,SY94: finite1398487019real_c] : ( SV11 @ ( produc394644079real_c @ SY93 @ SY94 ) )
| ( SV11 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(446,plain,
! [SV29: finite1398487019real_c,SV12: finite1398487019real_c] :
( ( ! [SY134: finite1398487019real_c,SY135: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV12 @ SV29 )
!= ( produc394644079real_c @ SY134 @ SY135 ) )
| ~ ( ( SV12 != SY134 )
| ( SV29 != SY135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(447,plain,
! [SV30: produc190496183real_c,SV13: produc190496183real_c > $o] :
( ( ~ ! [SY99: finite1398487019real_c,SY100: finite1398487019real_c] : ( SV13 @ ( produc394644079real_c @ SY99 @ SY100 ) )
| ( SV13 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(448,plain,
! [SV14: produc190496183real_c] :
( ( ! [SY101: finite1398487019real_c,SY102: finite1398487019real_c] :
( SV14
!= ( produc394644079real_c @ SY101 @ SY102 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(449,plain,
! [SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ! [SY138: finite1398487019real_c,SY139: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SY138 @ SY139 ) )
= ( ~ ( ( SV15 != SY138 )
| ( SV31 != SY139 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(450,plain,
! [SV32: set_Sum_sum_c_c,SV16: set_Sum_sum_c_c] :
( ( ! [SY140: produc190496183real_c,SY141: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV16 @ SV32 )
| ~ ( denota1997846518gree_c @ SY140 @ SY141 @ SV32 )
| ( denota1997846518gree_c @ SY140 @ SY141 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(451,plain,
! [SV33: set_Sum_sum_c_c,SV17: set_Sum_sum_c_c] :
( ( ! [SY142: produc190496183real_c,SY143: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV17 @ SV33 )
| ~ ( denota1997846518gree_c @ SY142 @ SY143 @ SV33 )
| ( denota1997846518gree_c @ SY142 @ SY143 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(452,plain,
! [SV18: produc190496183real_c] :
( ( ! [SY112: finite1398487019real_c] :
~ ~ ! [SY113: finite1398487019real_c] :
( SV18
!= ( produc394644079real_c @ SY112 @ SY113 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(453,plain,
! [SV20: denota231621370t_unit] :
( ( ! [SV34: oDE_a_c] :
( ( denota1896987029_a_b_c @ SV20 @ SV34 )
= ( ^ [SY144: finite1398487019real_c] : ( produc394644079real_c @ SY144 @ ( denota1275485728_a_b_c @ SV20 @ SV34 @ SY144 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[435]) ).
thf(454,plain,
! [SV20: denota231621370t_unit] :
( ( ( denota1896987029_a_b_c @ SV20 )
= ( ^ [SY114: oDE_a_c,SY115: finite1398487019real_c] : ( produc394644079real_c @ SY115 @ ( denota1275485728_a_b_c @ SV20 @ SY114 @ SY115 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[435]) ).
thf(455,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 = SV21 ) )
| ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[436]) ).
thf(456,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= ( SV4 = SV21 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[436]) ).
thf(457,plain,
! [SV35: oDE_a_c,SV22: denota231621370t_unit,SV5: produc190496183real_c] :
( ( ! [SY145: finite1398487019real_c] :
~ ! [SY146: produc190496183real_c] :
~ ~ ( ~ ( denota1997846518gree_c @ SY146 @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) )
| ~ ( denota1997846518gree_c @ SY146 @ ( denota1896987029_a_b_c @ SV22 @ SV35 @ SY145 ) @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(458,plain,
! [SV36: finite1398487019real_c,SV23: oDE_a_c,SV6: denota231621370t_unit] :
( ( ! [SY147: produc190496183real_c] :
( ( ( denota1896987029_a_b_c @ SV6 @ SV23 @ SV36 )
!= SY147 )
| ( SY147
= ( produc394644079real_c @ SV36 @ ( denota1275485728_a_b_c @ SV6 @ SV23 @ SV36 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(459,plain,
! [SV37: set_Pr1389752855real_c,SV24: finite1398487019real_c,SV7: finite1398487019real_c] :
( ( ! [SY148: finite1398487019real_c] :
( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV24 ) @ SV37 )
| ( SY148 != SV24 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SY148 ) @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(460,plain,
! [SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ! [SY149: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SY149 ) )
= ( ~ ( ( SV8 != SV38 )
| ( SV25 != SY149 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(461,plain,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(462,plain,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(463,plain,
! [SV39: produc190496183real_c,SV26: oDE_a_c,SV9: denota231621370t_unit] :
( ( ! [SY150: finite1398487019real_c] :
~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SY150 ) @ SV39 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) )
| ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SY150 ) @ ( denota1896987029_a_b_c @ SV9 @ SV26 @ SY150 ) @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(464,plain,
! [SV40: set_Sum_sum_c_c,SV27: produc190496183real_c,SV10: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV10 @ SV27 @ SV40 )
| ( denota1997846518gree_c @ SV27 @ SV10 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(465,plain,
! [SV28: produc190496183real_c,SV11: produc190496183real_c > $o] :
( ( ( ~ ! [SY93: finite1398487019real_c,SY94: finite1398487019real_c] : ( SV11 @ ( produc394644079real_c @ SY93 @ SY94 ) ) )
= $true )
| ( ( SV11 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(466,plain,
! [SV41: finite1398487019real_c,SV29: finite1398487019real_c,SV12: finite1398487019real_c] :
( ( ! [SY151: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV12 @ SV29 )
!= ( produc394644079real_c @ SV41 @ SY151 ) )
| ~ ( ( SV12 != SV41 )
| ( SV29 != SY151 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(467,plain,
! [SV30: produc190496183real_c,SV13: produc190496183real_c > $o] :
( ( ( ~ ! [SY99: finite1398487019real_c,SY100: finite1398487019real_c] : ( SV13 @ ( produc394644079real_c @ SY99 @ SY100 ) ) )
= $true )
| ( ( SV13 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(468,plain,
! [SV14: produc190496183real_c] :
( ( ! [SY152: finite1398487019real_c] :
( SV14
!= ( produc394644079real_c @ ( sK1_SY101 @ SV14 ) @ SY152 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[448]) ).
thf(469,plain,
! [SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ! [SY153: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SY153 ) )
= ( ~ ( ( SV15 != SV42 )
| ( SV31 != SY153 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(470,plain,
! [SV43: produc190496183real_c,SV32: set_Sum_sum_c_c,SV16: set_Sum_sum_c_c] :
( ( ! [SY154: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV16 @ SV32 )
| ~ ( denota1997846518gree_c @ SV43 @ SY154 @ SV32 )
| ( denota1997846518gree_c @ SV43 @ SY154 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(471,plain,
! [SV44: produc190496183real_c,SV33: set_Sum_sum_c_c,SV17: set_Sum_sum_c_c] :
( ( ! [SY155: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV17 @ SV33 )
| ~ ( denota1997846518gree_c @ SV44 @ SY155 @ SV33 )
| ( denota1997846518gree_c @ SV44 @ SY155 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(472,plain,
! [SV18: produc190496183real_c] :
( ( ~ ~ ! [SY156: finite1398487019real_c] :
( SV18
!= ( produc394644079real_c @ ( sK2_SY112 @ SV18 ) @ SY156 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[452]) ).
thf(473,plain,
! [SV45: oDE_a_c,SV20: denota231621370t_unit] :
( ( ( denota1896987029_a_b_c @ SV20 @ SV45 )
= ( ^ [SY157: finite1398487019real_c] : ( produc394644079real_c @ SY157 @ ( denota1275485728_a_b_c @ SV20 @ SV45 @ SY157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(474,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 = SV21 ) ) )
= $true )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(475,plain,
! [SV46: finite1398487019real_c,SV35: oDE_a_c,SV22: denota231621370t_unit,SV5: produc190496183real_c] :
( ( ~ ! [SY158: produc190496183real_c] :
~ ~ ( ~ ( denota1997846518gree_c @ SY158 @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) )
| ~ ( denota1997846518gree_c @ SY158 @ ( denota1896987029_a_b_c @ SV22 @ SV35 @ SV46 ) @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(476,plain,
! [SV47: produc190496183real_c,SV36: finite1398487019real_c,SV23: oDE_a_c,SV6: denota231621370t_unit] :
( ( ( ( denota1896987029_a_b_c @ SV6 @ SV23 @ SV36 )
!= SV47 )
| ( SV47
= ( produc394644079real_c @ SV36 @ ( denota1275485728_a_b_c @ SV6 @ SV23 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(477,plain,
! [SV48: finite1398487019real_c,SV37: set_Pr1389752855real_c,SV24: finite1398487019real_c,SV7: finite1398487019real_c] :
( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV24 ) @ SV37 )
| ( SV48 != SV24 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV48 ) @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(478,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= ( ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(479,plain,
! [SV50: finite1398487019real_c,SV39: produc190496183real_c,SV26: oDE_a_c,SV9: denota231621370t_unit] :
( ( ~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SV50 ) @ SV39 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) )
| ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SV50 ) @ ( denota1896987029_a_b_c @ SV9 @ SV26 @ SV50 ) @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(480,plain,
! [SV40: set_Sum_sum_c_c,SV27: produc190496183real_c,SV10: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV10 @ SV27 @ SV40 ) )
= $true )
| ( ( denota1997846518gree_c @ SV27 @ SV10 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(481,plain,
! [SV28: produc190496183real_c,SV11: produc190496183real_c > $o] :
( ( ( ! [SY93: finite1398487019real_c,SY94: finite1398487019real_c] : ( SV11 @ ( produc394644079real_c @ SY93 @ SY94 ) ) )
= $false )
| ( ( SV11 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(482,plain,
! [SV51: finite1398487019real_c,SV41: finite1398487019real_c,SV29: finite1398487019real_c,SV12: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV12 @ SV29 )
!= ( produc394644079real_c @ SV41 @ SV51 ) )
| ~ ( ( SV12 != SV41 )
| ( SV29 != SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(483,plain,
! [SV30: produc190496183real_c,SV13: produc190496183real_c > $o] :
( ( ( ! [SY99: finite1398487019real_c,SY100: finite1398487019real_c] : ( SV13 @ ( produc394644079real_c @ SY99 @ SY100 ) ) )
= $false )
| ( ( SV13 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(484,plain,
! [SV14: produc190496183real_c] :
( ( SV14
!= ( produc394644079real_c @ ( sK1_SY101 @ SV14 ) @ ( sK3_SY152 @ SV14 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[468]) ).
thf(485,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= ( ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(486,plain,
! [SV53: produc190496183real_c,SV43: produc190496183real_c,SV32: set_Sum_sum_c_c,SV16: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV16 @ SV32 )
| ~ ( denota1997846518gree_c @ SV43 @ SV53 @ SV32 )
| ( denota1997846518gree_c @ SV43 @ SV53 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(487,plain,
! [SV54: produc190496183real_c,SV44: produc190496183real_c,SV33: set_Sum_sum_c_c,SV17: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV17 @ SV33 )
| ~ ( denota1997846518gree_c @ SV44 @ SV54 @ SV33 )
| ( denota1997846518gree_c @ SV44 @ SV54 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(488,plain,
! [SV18: produc190496183real_c] :
( ( ~ ! [SY156: finite1398487019real_c] :
( SV18
!= ( produc394644079real_c @ ( sK2_SY112 @ SV18 ) @ SY156 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(489,plain,
! [SV45: oDE_a_c,SV20: denota231621370t_unit] :
( ( ! [SV55: finite1398487019real_c] :
( ( denota1896987029_a_b_c @ SV20 @ SV45 @ SV55 )
= ( produc394644079real_c @ SV55 @ ( denota1275485728_a_b_c @ SV20 @ SV45 @ SV55 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(490,plain,
! [SV45: oDE_a_c,SV20: denota231621370t_unit] :
( ( ( denota1896987029_a_b_c @ SV20 @ SV45 )
= ( ^ [SY157: finite1398487019real_c] : ( produc394644079real_c @ SY157 @ ( denota1275485728_a_b_c @ SV20 @ SV45 @ SY157 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(491,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 = SV21 ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(492,plain,
! [SV46: finite1398487019real_c,SV35: oDE_a_c,SV22: denota231621370t_unit,SV5: produc190496183real_c] :
( ( ! [SY158: produc190496183real_c] :
~ ~ ( ~ ( denota1997846518gree_c @ SY158 @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) )
| ~ ( denota1997846518gree_c @ SY158 @ ( denota1896987029_a_b_c @ SV22 @ SV35 @ SV46 ) @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(493,plain,
! [SV47: produc190496183real_c,SV36: finite1398487019real_c,SV23: oDE_a_c,SV6: denota231621370t_unit] :
( ( ( ( denota1896987029_a_b_c @ SV6 @ SV23 @ SV36 )
!= SV47 )
= $true )
| ( ( SV47
= ( produc394644079real_c @ SV36 @ ( denota1275485728_a_b_c @ SV6 @ SV23 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(494,plain,
! [SV48: finite1398487019real_c,SV37: set_Pr1389752855real_c,SV24: finite1398487019real_c,SV7: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV24 ) @ SV37 ) )
= $true )
| ( ( ( SV48 != SV24 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV48 ) @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(495,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) )
| ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[478]) ).
thf(496,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= ( ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[478]) ).
thf(497,plain,
! [SV50: finite1398487019real_c,SV39: produc190496183real_c,SV26: oDE_a_c,SV9: denota231621370t_unit] :
( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SV50 ) @ SV39 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) )
| ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SV50 ) @ ( denota1896987029_a_b_c @ SV9 @ SV26 @ SV50 ) @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(498,plain,
! [SV40: set_Sum_sum_c_c,SV27: produc190496183real_c,SV10: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV10 @ SV27 @ SV40 )
= $false )
| ( ( denota1997846518gree_c @ SV27 @ SV10 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(499,plain,
! [SV28: produc190496183real_c,SV11: produc190496183real_c > $o] :
( ( ( ! [SY159: finite1398487019real_c] : ( SV11 @ ( produc394644079real_c @ ( sK4_SY93 @ SV28 @ SV11 ) @ SY159 ) ) )
= $false )
| ( ( SV11 @ SV28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[481]) ).
thf(500,plain,
! [SV51: finite1398487019real_c,SV41: finite1398487019real_c,SV29: finite1398487019real_c,SV12: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV12 @ SV29 )
!= ( produc394644079real_c @ SV41 @ SV51 ) )
= $true )
| ( ( ~ ( ( SV12 != SV41 )
| ( SV29 != SV51 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(501,plain,
! [SV30: produc190496183real_c,SV13: produc190496183real_c > $o] :
( ( ( ! [SY160: finite1398487019real_c] : ( SV13 @ ( produc394644079real_c @ ( sK5_SY99 @ SV30 @ SV13 ) @ SY160 ) ) )
= $false )
| ( ( SV13 @ SV30 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[483]) ).
thf(502,plain,
! [SV14: produc190496183real_c] :
( ( SV14
= ( produc394644079real_c @ ( sK1_SY101 @ SV14 ) @ ( sK3_SY152 @ SV14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(503,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) )
| ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[485]) ).
thf(504,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= ( ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[485]) ).
thf(505,plain,
! [SV53: produc190496183real_c,SV43: produc190496183real_c,SV32: set_Sum_sum_c_c,SV16: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV16 @ SV32 ) )
= $true )
| ( ( ~ ( denota1997846518gree_c @ SV43 @ SV53 @ SV32 )
| ( denota1997846518gree_c @ SV43 @ SV53 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(506,plain,
! [SV54: produc190496183real_c,SV44: produc190496183real_c,SV33: set_Sum_sum_c_c,SV17: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV17 @ SV33 ) )
= $true )
| ( ( ~ ( denota1997846518gree_c @ SV44 @ SV54 @ SV33 )
| ( denota1997846518gree_c @ SV44 @ SV54 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(507,plain,
! [SV18: produc190496183real_c] :
( ( ! [SY156: finite1398487019real_c] :
( SV18
!= ( produc394644079real_c @ ( sK2_SY112 @ SV18 ) @ SY156 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(508,plain,
! [SV56: finite1398487019real_c,SV45: oDE_a_c,SV20: denota231621370t_unit] :
( ( ( denota1896987029_a_b_c @ SV20 @ SV45 @ SV56 )
= ( produc394644079real_c @ SV56 @ ( denota1275485728_a_b_c @ SV20 @ SV45 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(509,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(510,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 = SV21 )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(511,plain,
! [SV5: produc190496183real_c,SV22: denota231621370t_unit,SV35: oDE_a_c,SV46: finite1398487019real_c] :
( ( ~ ~ ( ~ ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) )
| ~ ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ ( denota1896987029_a_b_c @ SV22 @ SV35 @ SV46 ) @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[492]) ).
thf(512,plain,
! [SV47: produc190496183real_c,SV36: finite1398487019real_c,SV23: oDE_a_c,SV6: denota231621370t_unit] :
( ( ( ( denota1896987029_a_b_c @ SV6 @ SV23 @ SV36 )
= SV47 )
= $false )
| ( ( SV47
= ( produc394644079real_c @ SV36 @ ( denota1275485728_a_b_c @ SV6 @ SV23 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(513,plain,
! [SV48: finite1398487019real_c,SV37: set_Pr1389752855real_c,SV24: finite1398487019real_c,SV7: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV24 ) @ SV37 )
= $false )
| ( ( ( SV48 != SV24 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV48 ) @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(514,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(515,plain,
! [SV50: finite1398487019real_c,SV39: produc190496183real_c,SV26: oDE_a_c,SV9: denota231621370t_unit] :
( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SV50 ) @ SV39 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(516,plain,
! [SV50: finite1398487019real_c,SV39: produc190496183real_c,SV26: oDE_a_c,SV9: denota231621370t_unit] :
( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SV50 ) @ ( denota1896987029_a_b_c @ SV9 @ SV26 @ SV50 ) @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(517,plain,
! [SV28: produc190496183real_c,SV11: produc190496183real_c > $o] :
( ( ( SV11 @ ( produc394644079real_c @ ( sK4_SY93 @ SV28 @ SV11 ) @ ( sK7_SY159 @ SV28 @ SV11 ) ) )
= $false )
| ( ( SV11 @ SV28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[499]) ).
thf(518,plain,
! [SV51: finite1398487019real_c,SV41: finite1398487019real_c,SV29: finite1398487019real_c,SV12: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV12 @ SV29 )
= ( produc394644079real_c @ SV41 @ SV51 ) )
= $false )
| ( ( ~ ( ( SV12 != SV41 )
| ( SV29 != SV51 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(519,plain,
! [SV30: produc190496183real_c,SV13: produc190496183real_c > $o] :
( ( ( SV13 @ ( produc394644079real_c @ ( sK5_SY99 @ SV30 @ SV13 ) @ ( sK8_SY160 @ SV30 @ SV13 ) ) )
= $false )
| ( ( SV13 @ SV30 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[501]) ).
thf(520,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(521,plain,
! [SV53: produc190496183real_c,SV43: produc190496183real_c,SV32: set_Sum_sum_c_c,SV16: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV16 @ SV32 )
= $false )
| ( ( ~ ( denota1997846518gree_c @ SV43 @ SV53 @ SV32 )
| ( denota1997846518gree_c @ SV43 @ SV53 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(522,plain,
! [SV54: produc190496183real_c,SV44: produc190496183real_c,SV33: set_Sum_sum_c_c,SV17: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV17 @ SV33 )
= $false )
| ( ( ~ ( denota1997846518gree_c @ SV44 @ SV54 @ SV33 )
| ( denota1997846518gree_c @ SV44 @ SV54 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(523,plain,
! [SV18: produc190496183real_c] :
( ( SV18
!= ( produc394644079real_c @ ( sK2_SY112 @ SV18 ) @ ( sK9_SY156 @ SV18 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[507]) ).
thf(524,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ! [SV57: finite1398487019real_c] :
( ( ^ [SY161: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV57 @ SY161 ) @ SV4 ) )
= ( ^ [SY162: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV57 @ SY162 ) @ SV21 ) ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[509]) ).
thf(525,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[509]) ).
thf(526,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(527,plain,
! [SV5: produc190496183real_c,SV22: denota231621370t_unit,SV35: oDE_a_c,SV46: finite1398487019real_c] :
( ( ~ ( ~ ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) )
| ~ ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ ( denota1896987029_a_b_c @ SV22 @ SV35 @ SV46 ) @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(528,plain,
! [SV37: set_Pr1389752855real_c,SV7: finite1398487019real_c,SV24: finite1398487019real_c,SV48: finite1398487019real_c] :
( ( ( SV48 != SV24 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV48 ) @ SV37 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV24 ) @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(529,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(530,plain,
! [SV50: finite1398487019real_c,SV39: produc190496183real_c,SV26: oDE_a_c,SV9: denota231621370t_unit] :
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SV50 ) @ SV39 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(531,plain,
! [SV50: finite1398487019real_c,SV39: produc190496183real_c,SV26: oDE_a_c,SV9: denota231621370t_unit] :
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV9 @ SV26 @ SV39 @ SV50 ) @ ( denota1896987029_a_b_c @ SV9 @ SV26 @ SV50 ) @ ( denota1293057250_a_b_c @ SV9 @ SV26 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(532,plain,
! [SV51: finite1398487019real_c,SV29: finite1398487019real_c,SV41: finite1398487019real_c,SV12: finite1398487019real_c] :
( ( ( ( SV12 != SV41 )
| ( SV29 != SV51 ) )
= $false )
| ( ( ( produc394644079real_c @ SV12 @ SV29 )
= ( produc394644079real_c @ SV41 @ SV51 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(533,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(534,plain,
! [SV16: set_Sum_sum_c_c,SV32: set_Sum_sum_c_c,SV53: produc190496183real_c,SV43: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV43 @ SV53 @ SV32 ) )
= $true )
| ( ( denota1997846518gree_c @ SV43 @ SV53 @ SV16 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV16 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(535,plain,
! [SV17: set_Sum_sum_c_c,SV33: set_Sum_sum_c_c,SV54: produc190496183real_c,SV44: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV44 @ SV54 @ SV33 ) )
= $true )
| ( ( denota1997846518gree_c @ SV44 @ SV54 @ SV17 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV17 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(536,plain,
! [SV18: produc190496183real_c] :
( ( SV18
= ( produc394644079real_c @ ( sK2_SY112 @ SV18 ) @ ( sK9_SY156 @ SV18 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(537,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[524]) ).
thf(538,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(539,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(540,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 != SV21 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(541,plain,
! [SV5: produc190496183real_c,SV22: denota231621370t_unit,SV35: oDE_a_c,SV46: finite1398487019real_c] :
( ( ~ ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) )
| ~ ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ ( denota1896987029_a_b_c @ SV22 @ SV35 @ SV46 ) @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(542,plain,
! [SV37: set_Pr1389752855real_c,SV7: finite1398487019real_c,SV24: finite1398487019real_c,SV48: finite1398487019real_c] :
( ( ( SV48 = SV24 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV48 ) @ SV37 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV7 @ SV24 ) @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(543,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(544,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(545,plain,
! [SV51: finite1398487019real_c,SV29: finite1398487019real_c,SV41: finite1398487019real_c,SV12: finite1398487019real_c] :
( ( ( SV12 != SV41 )
= $false )
| ( ( ( produc394644079real_c @ SV12 @ SV29 )
= ( produc394644079real_c @ SV41 @ SV51 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(546,plain,
! [SV41: finite1398487019real_c,SV12: finite1398487019real_c,SV51: finite1398487019real_c,SV29: finite1398487019real_c] :
( ( ( SV29 != SV51 )
= $false )
| ( ( ( produc394644079real_c @ SV12 @ SV29 )
= ( produc394644079real_c @ SV41 @ SV51 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(547,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(548,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(549,plain,
! [SV16: set_Sum_sum_c_c,SV32: set_Sum_sum_c_c,SV53: produc190496183real_c,SV43: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV43 @ SV53 @ SV32 )
= $false )
| ( ( denota1997846518gree_c @ SV43 @ SV53 @ SV16 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV16 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(550,plain,
! [SV17: set_Sum_sum_c_c,SV33: set_Sum_sum_c_c,SV54: produc190496183real_c,SV44: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV44 @ SV54 @ SV33 )
= $false )
| ( ( denota1997846518gree_c @ SV44 @ SV54 @ SV17 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV17 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(551,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ! [SV58: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SV58 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SV58 ) @ SV21 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[537]) ).
thf(552,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[537]) ).
thf(553,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(554,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 != SV21 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(555,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(556,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 = SV21 )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(557,plain,
! [SV5: produc190496183real_c,SV22: denota231621370t_unit,SV35: oDE_a_c,SV46: finite1398487019real_c] :
( ( ~ ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(558,plain,
! [SV5: produc190496183real_c,SV22: denota231621370t_unit,SV35: oDE_a_c,SV46: finite1398487019real_c] :
( ( ~ ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ ( denota1896987029_a_b_c @ SV22 @ SV35 @ SV46 ) @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(559,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) )
= $false )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(560,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( SV8 != SV38 )
| ( SV25 != SV49 ) )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(561,plain,
! [SV51: finite1398487019real_c,SV29: finite1398487019real_c,SV41: finite1398487019real_c,SV12: finite1398487019real_c] :
( ( ( SV12 = SV41 )
= $true )
| ( ( ( produc394644079real_c @ SV12 @ SV29 )
= ( produc394644079real_c @ SV41 @ SV51 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(562,plain,
! [SV41: finite1398487019real_c,SV12: finite1398487019real_c,SV51: finite1398487019real_c,SV29: finite1398487019real_c] :
( ( ( SV29 = SV51 )
= $true )
| ( ( ( produc394644079real_c @ SV12 @ SV29 )
= ( produc394644079real_c @ SV41 @ SV51 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(563,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) )
= $false )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(564,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( SV15 != SV42 )
| ( SV31 != SV52 ) )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(565,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[551]) ).
thf(566,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(567,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(568,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 = SV21 )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(569,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ! [SV59: finite1398487019real_c] :
( ( ^ [SY165: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV59 @ SY165 ) @ SV4 ) )
= ( ^ [SY166: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV59 @ SY166 ) @ SV21 ) ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(570,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(571,plain,
! [SV5: produc190496183real_c,SV22: denota231621370t_unit,SV35: oDE_a_c,SV46: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ SV5 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(572,plain,
! [SV5: produc190496183real_c,SV22: denota231621370t_unit,SV35: oDE_a_c,SV46: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( sK6_SY158 @ SV46 @ SV35 @ SV22 @ SV5 ) @ ( denota1896987029_a_b_c @ SV22 @ SV35 @ SV46 ) @ ( denota1293057250_a_b_c @ SV22 @ SV35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(573,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(574,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) )
= $false )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(575,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( SV8 != SV38 )
= $true )
| ( ( SV25 != SV49 )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(576,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(577,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) )
= $false )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(578,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( SV15 != SV42 )
= $true )
| ( ( SV31 != SV52 )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(579,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
| ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[565]) ).
thf(580,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[565]) ).
thf(581,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[566]) ).
thf(582,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 != SV21 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[566]) ).
thf(583,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ! [SV60: finite1398487019real_c] :
( ( ^ [SY167: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV60 @ SY167 ) @ SV4 ) )
= ( ^ [SY168: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV60 @ SY168 ) @ SV21 ) ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(584,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(585,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV61: finite1398487019real_c] :
( ( ( ( ^ [SY169: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SY169 ) @ SV4 ) )
= ( ^ [SY170: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SY170 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(586,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $true )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(587,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) )
= $true )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(588,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( SV8 = SV38 )
= $false )
| ( ( SV25 != SV49 )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(589,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $true )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(590,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) )
= $true )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(591,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( SV15 = SV42 )
= $false )
| ( ( SV31 != SV52 )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(592,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(593,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(594,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(595,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(596,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 = SV21 )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(597,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV62: finite1398487019real_c] :
( ( ( ( ^ [SY171: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SY171 ) @ SV4 ) )
= ( ^ [SY172: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SY172 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(598,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV61: finite1398487019real_c] :
( ( ( ! [SV63: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV63 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV63 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(599,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV61: finite1398487019real_c] :
( ( ( ( ^ [SY169: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SY169 ) @ SV4 ) )
= ( ^ [SY170: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SY170 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(600,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( SV8 != SV38 )
| ( SV25 != SV49 ) )
= $false )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(601,plain,
! [SV38: finite1398487019real_c,SV8: finite1398487019real_c,SV49: finite1398487019real_c,SV25: finite1398487019real_c] :
( ( ( SV25 = SV49 )
= $false )
| ( ( SV8 = SV38 )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(602,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( SV15 != SV42 )
| ( SV31 != SV52 ) )
= $false )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(603,plain,
! [SV42: finite1398487019real_c,SV15: finite1398487019real_c,SV52: finite1398487019real_c,SV31: finite1398487019real_c] :
( ( ( SV31 = SV52 )
= $false )
| ( ( SV15 = SV42 )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(604,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $true )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(605,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $true )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(606,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(607,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 != SV21 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(608,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ! [SV64: finite1398487019real_c] :
( ( ^ [SY173: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV64 @ SY173 ) @ SV4 ) )
= ( ^ [SY174: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV64 @ SY174 ) @ SV21 ) ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(609,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(610,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV62: finite1398487019real_c] :
( ( ( ! [SV65: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV65 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV65 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[597]) ).
thf(611,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV62: finite1398487019real_c] :
( ( ( ( ^ [SY171: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SY171 ) @ SV4 ) )
= ( ^ [SY172: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SY172 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[597]) ).
thf(612,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(613,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( SV8 != SV38 )
= $false )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(614,plain,
! [SV38: finite1398487019real_c,SV8: finite1398487019real_c,SV49: finite1398487019real_c,SV25: finite1398487019real_c] :
( ( ( SV25 != SV49 )
= $false )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(615,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
| ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) )
= $false )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(616,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( SV15 != SV42 )
= $false )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(617,plain,
! [SV42: finite1398487019real_c,SV15: finite1398487019real_c,SV52: finite1398487019real_c,SV31: finite1398487019real_c] :
( ( ( SV31 != SV52 )
= $false )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(618,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
| ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) )
= $false )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(619,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(620,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 ) )
= $true )
| ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $true )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(621,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(622,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 = SV21 )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(623,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV67: finite1398487019real_c] :
( ( ( ( ^ [SY175: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SY175 ) @ SV4 ) )
= ( ^ [SY176: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SY176 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(624,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(625,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) )
| ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[612]) ).
thf(626,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[612]) ).
thf(627,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( SV8 = SV38 )
= $true )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(628,plain,
! [SV38: finite1398487019real_c,SV8: finite1398487019real_c,SV49: finite1398487019real_c,SV25: finite1398487019real_c] :
( ( ( SV25 = SV49 )
= $true )
| ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(629,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV8 @ SV25 )
!= ( produc394644079real_c @ SV38 @ SV49 ) )
= $false )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(630,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ~ ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) )
= $false )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(631,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( SV15 = SV42 )
= $true )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(632,plain,
! [SV42: finite1398487019real_c,SV15: finite1398487019real_c,SV52: finite1398487019real_c,SV31: finite1398487019real_c] :
( ( ( SV31 = SV52 )
= $true )
| ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(633,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV15 @ SV31 )
!= ( produc394644079real_c @ SV42 @ SV52 ) )
= $false )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(634,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ~ ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) )
= $false )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(635,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(636,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $true )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(637,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ! [SV69: finite1398487019real_c] :
( ( ^ [SY177: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV69 @ SY177 ) @ SV4 ) )
= ( ^ [SY178: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV69 @ SY178 ) @ SV21 ) ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(638,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(639,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV67: finite1398487019real_c] :
( ( ( ! [SV70: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV70 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV70 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[623]) ).
thf(640,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV67: finite1398487019real_c] :
( ( ( ( ^ [SY175: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SY175 ) @ SV4 ) )
= ( ^ [SY176: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SY176 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[623]) ).
thf(641,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) )
| ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(642,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(643,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(644,plain,
! [SV49: finite1398487019real_c,SV38: finite1398487019real_c,SV25: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV8 @ SV25 )
= ( produc394644079real_c @ SV38 @ SV49 ) )
= $true )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(645,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ~ ( ( SV8 != SV38 )
| ( SV25 != SV49 ) ) )
= $true )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(646,plain,
! [SV52: finite1398487019real_c,SV42: finite1398487019real_c,SV31: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV15 @ SV31 )
= ( produc394644079real_c @ SV42 @ SV52 ) )
= $true )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(647,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ~ ( ( SV15 != SV42 )
| ( SV31 != SV52 ) ) )
= $true )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(648,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(649,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 != SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(650,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( ~ ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(651,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV71: finite1398487019real_c] :
( ( ( ( ^ [SY179: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SY179 ) @ SV4 ) )
= ( ^ [SY180: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SY180 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(652,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(653,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(654,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(655,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( ( SV8 != SV38 )
| ( SV25 != SV49 ) )
= $false )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(656,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( ( SV15 != SV42 )
| ( SV31 != SV52 ) )
= $false )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(657,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(658,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 = SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(659,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
| ( SV4 != SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(660,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV71: finite1398487019real_c] :
( ( ( ! [SV73: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV73 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV73 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[651]) ).
thf(661,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV71: finite1398487019real_c] :
( ( ( ( ^ [SY179: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SY179 ) @ SV4 ) )
= ( ^ [SY180: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SY180 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[651]) ).
thf(662,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) )
| ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[652]) ).
thf(663,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[652]) ).
thf(664,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(665,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(666,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) ) )
= $true )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(667,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( SV8 != SV38 )
= $false )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(668,plain,
! [SV38: finite1398487019real_c,SV8: finite1398487019real_c,SV49: finite1398487019real_c,SV25: finite1398487019real_c] :
( ( ( SV25 != SV49 )
= $false )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(669,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( SV15 != SV42 )
= $false )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(670,plain,
! [SV42: finite1398487019real_c,SV15: finite1398487019real_c,SV52: finite1398487019real_c,SV31: finite1398487019real_c] :
( ( ( SV31 != SV52 )
= $false )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(671,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ! [SV74: finite1398487019real_c] :
( ( ^ [SY181: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV74 @ SY181 ) @ SV4 ) )
= ( ^ [SY182: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV74 @ SY182 ) @ SV21 ) ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[657]) ).
thf(672,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[657]) ).
thf(673,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
!= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(674,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 != SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(675,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(676,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(677,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(678,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(679,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(680,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(681,plain,
! [SV49: finite1398487019real_c,SV25: finite1398487019real_c,SV38: finite1398487019real_c,SV8: finite1398487019real_c] :
( ( ( SV8 = SV38 )
= $true )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(682,plain,
! [SV38: finite1398487019real_c,SV8: finite1398487019real_c,SV49: finite1398487019real_c,SV25: finite1398487019real_c] :
( ( ( SV25 = SV49 )
= $true )
| ( ( SV8 = SV38 )
= $false )
| ( ( SV25 = SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(683,plain,
! [SV52: finite1398487019real_c,SV31: finite1398487019real_c,SV42: finite1398487019real_c,SV15: finite1398487019real_c] :
( ( ( SV15 = SV42 )
= $true )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(684,plain,
! [SV42: finite1398487019real_c,SV15: finite1398487019real_c,SV52: finite1398487019real_c,SV31: finite1398487019real_c] :
( ( ( SV31 = SV52 )
= $true )
| ( ( SV15 = SV42 )
= $false )
| ( ( SV31 = SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(685,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV76: finite1398487019real_c] :
( ( ( ( ^ [SY183: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SY183 ) @ SV4 ) )
= ( ^ [SY184: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SY184 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(686,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(687,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( SV4 = SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(688,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) )
| ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(689,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(690,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(691,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(692,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(693,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(694,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(695,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(696,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(697,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV76: finite1398487019real_c] :
( ( ( ! [SV77: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV77 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV77 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[685]) ).
thf(698,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV76: finite1398487019real_c] :
( ( ( ( ^ [SY183: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SY183 ) @ SV4 ) )
= ( ^ [SY184: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SY184 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[685]) ).
thf(699,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ! [SV78: finite1398487019real_c] :
( ( ^ [SY185: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV78 @ SY185 ) @ SV4 ) )
= ( ^ [SY186: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV78 @ SY186 ) @ SV21 ) ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[686]) ).
thf(700,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c] :
( ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[686]) ).
thf(701,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(702,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(703,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) ) )
= $true )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(704,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(705,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(706,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(707,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(708,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(709,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(710,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(711,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV66: finite1398487019real_c,SV61: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV61 @ SV66 ) @ SV21 )
= $false )
| ( ( SV4 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(712,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(713,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV80: finite1398487019real_c] :
( ( ( ( ^ [SY187: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SY187 ) @ SV4 ) )
= ( ^ [SY188: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SY188 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(714,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(715,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(716,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(717,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(718,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[705]) ).
thf(719,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(720,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV68: finite1398487019real_c,SV62: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV62 @ SV68 ) @ SV21 )
= $false )
| ( ( ( ^ [SY70: finite1398487019real_c,SY71: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY70 @ SY71 ) @ SV4 ) )
= ( ^ [SY118: finite1398487019real_c,SY119: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SY118 @ SY119 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(721,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) )
| ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[712]) ).
thf(722,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[712]) ).
thf(723,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV80: finite1398487019real_c] :
( ( ( ! [SV81: finite1398487019real_c] :
( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV81 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV81 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[713]) ).
thf(724,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV80: finite1398487019real_c] :
( ( ( ( ^ [SY187: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SY187 ) @ SV4 ) )
= ( ^ [SY188: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SY188 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[713]) ).
thf(725,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(726,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) ) )
= $true )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(727,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(728,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(729,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(730,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(731,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(732,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(733,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(734,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(735,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(736,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(737,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(738,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV72: finite1398487019real_c,SV67: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV67 @ SV72 ) @ SV21 )
= $false )
| ( ( ( ^ [SY163: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY163 ) @ SV4 ) )
= ( ^ [SY164: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ SY164 ) @ SV21 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(739,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(740,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) )
| ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[732]) ).
thf(741,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[732]) ).
thf(742,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(743,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(744,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(745,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(746,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(747,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(748,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ~ ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(749,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(750,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(751,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(752,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV75: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV71 @ SV75 ) @ SV21 )
= $false )
| ( ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(753,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(754,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(755,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(756,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(757,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(758,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(759,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(760,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(761,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 )
= $false )
| ( ( ~ ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) ) )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(762,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(763,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(764,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(765,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV79: finite1398487019real_c,SV76: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV76 @ SV79 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(766,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(767,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
| ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(768,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(769,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(770,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(771,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( ~ ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 ) )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(772,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(773,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(774,plain,
! [SV21: set_Pr1389752855real_c,SV4: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV4 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(775,plain,
! [SV4: set_Pr1389752855real_c,SV21: set_Pr1389752855real_c,SV82: finite1398487019real_c,SV80: finite1398487019real_c] :
( ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 )
= $true )
| ( ( member1895684704real_c @ ( produc394644079real_c @ SV80 @ SV82 ) @ SV21 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV4 )
= $false )
| ( ( member1895684704real_c @ ( produc394644079real_c @ ( sK10_SV57 @ SV21 @ SV4 ) @ ( sK11_SV58 @ SV4 @ SV21 ) ) @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(776,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[377,775,774,773,772,765,764,763,762,752,751,750,749,741,738,737,736,735,724,722,720,719,718,717,711,710,709,708,700,698,689,687,684,683,682,681,672,663,661,658,646,644,642,640,638,632,631,628,627,626,622,611,609,599,596,589,586,584,572,571,570,568,562,561,556,550,549,542,536,531,530,519,517,512,508,504,502,498,496,490,462,461,456,454,434,418,416,413]) ).
thf(777,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[776]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP041^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.21 % Computer : n019.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Oct 6 11:15:01 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.86/1.03 ..
% 3.86/1.03
% 3.86/1.03 No.of.Axioms: 20
% 3.86/1.03
% 3.86/1.03 Length.of.Defs: 0
% 3.86/1.03
% 3.86/1.03 Contains.Choice.Funs: true
% 3.86/1.03 ..............
% 3.86/1.03
% 3.86/1.03 ********************************
% 3.86/1.03 * All subproblems solved! *
% 3.86/1.03 ********************************
% 3.86/1.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:20,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:776,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.86/1.03
% 3.86/1.03 %**** Beginning of derivation protocol ****
% 3.86/1.03 % SZS output start CNFRefutation
% See solution above
% 3.86/1.03
% 3.86/1.03 %**** End of derivation protocol ****
% 3.86/1.03 %**** no. of clauses in derivation: 445 ****
% 3.86/1.03 %**** clause counter: 776 ****
% 3.86/1.03
% 3.86/1.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:20,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:776,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------