%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP038^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 10:23:43 AM UTC 2026
% Result : Theorem 1.73s 0.47s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 430 ( 99 unt; 0 typ; 0 def)
% Number of atoms : 3903 (1346 equ; 0 cnn)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 2616 ( 551 ~;1042 |; 3 &; 984 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 45 ( 44 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 159 ( 156 usr; 14 con; 0-10 aty)
% Number of variables : 527 ( 0 ^; 527 !; 0 ?; 527 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_bounde472938360z_real,type,
bounde472938360z_real: $tType ).
thf(tp_c,type,
c: $tType ).
thf(tp_denota231621370t_unit,type,
denota231621370t_unit: $tType ).
thf(tp_denota610675952t_unit,type,
denota610675952t_unit: $tType ).
thf(tp_finite1398487019real_c,type,
finite1398487019real_c: $tType ).
thf(tp_finite824932053eal_sz,type,
finite824932053eal_sz: $tType ).
thf(tp_formula_sf_sc_sz,type,
formula_sf_sc_sz: $tType ).
thf(tp_freche2095075217_sc_sz,type,
freche2095075217_sc_sz: $tType ).
thf(tp_freche914690577_a_b_c,type,
freche914690577_a_b_c: $tType ).
thf(tp_frechet_strm_a_c,type,
frechet_strm_a_c: $tType ).
thf(tp_frechet_strm_sf_sz,type,
frechet_strm_sf_sz: $tType ).
thf(tp_list_f1238882004_sc_sz,type,
list_f1238882004_sc_sz: $tType ).
thf(tp_produc1065634396_o_a_o,type,
produc1065634396_o_a_o: $tType ).
thf(tp_produc1144880887f_sz_o,type,
produc1144880887f_sz_o: $tType ).
thf(tp_produc1149990247eal_sz,type,
produc1149990247eal_sz: $tType ).
thf(tp_produc1241881959eal_sz,type,
produc1241881959eal_sz: $tType ).
thf(tp_produc1553439972f_sz_o,type,
produc1553439972f_sz_o: $tType ).
thf(tp_produc1561113620_set_a,type,
produc1561113620_set_a: $tType ).
thf(tp_produc1691597095_set_a,type,
produc1691597095_set_a: $tType ).
thf(tp_produc1821101996_sc_sz,type,
produc1821101996_sc_sz: $tType ).
thf(tp_produc1892666919z_real,type,
produc1892666919z_real: $tType ).
thf(tp_produc190496183real_c,type,
produc190496183real_c: $tType ).
thf(tp_produc1989635468_a_a_o,type,
produc1989635468_a_a_o: $tType ).
thf(tp_produc866628903_sc_sz,type,
produc866628903_sc_sz: $tType ).
thf(tp_produc903182423_set_a,type,
produc903182423_set_a: $tType ).
thf(tp_product_prod_a_o_a_o,type,
product_prod_a_o_a_o: $tType ).
thf(tp_real,type,
real: $tType ).
thf(tp_sc,type,
sc: $tType ).
thf(tp_set_De208295462t_unit,type,
set_De208295462t_unit: $tType ).
thf(tp_set_De455519194t_unit,type,
set_De455519194t_unit: $tType ).
thf(tp_set_Fi291318197eal_sz,type,
set_Fi291318197eal_sz: $tType ).
thf(tp_set_Pr1169339874_sc_sz,type,
set_Pr1169339874_sc_sz: $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_sz_sz,type,
set_Sum_sum_sz_sz: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_trm_a_c,type,
set_trm_a_c: $tType ).
thf(tp_set_trm_sf_sz,type,
set_trm_sf_sz: $tType ).
thf(tp_sf,type,
sf: $tType ).
thf(tp_sum_su737395349um_b_c,type,
sum_su737395349um_b_c: $tType ).
thf(tp_sz,type,
sz: $tType ).
thf(tp_trm_a_c,type,
trm_a_c: $tType ).
thf(tp_trm_sf_sz,type,
trm_sf_sz: $tType ).
thf(tp_bNF_Gr1775200401_sc_sz,type,
bNF_Gr1775200401_sc_sz: set_a > ( a > denota610675952t_unit ) > ( a > produc866628903_sc_sz ) > set_Pr1169339874_sc_sz ).
thf(tp_bNF_eq1660582207t_unit,type,
bNF_eq1660582207t_unit: ( denota610675952t_unit > $o ) > denota610675952t_unit > denota610675952t_unit > $o ).
thf(tp_bNF_eq_onp_trm_a_c,type,
bNF_eq_onp_trm_a_c: ( trm_a_c > $o ) > trm_a_c > trm_a_c > $o ).
thf(tp_bNF_eq_onp_trm_sf_sz,type,
bNF_eq_onp_trm_sf_sz: ( trm_sf_sz > $o ) > trm_sf_sz > trm_sf_sz > $o ).
thf(tp_bounde397081123z_real,type,
bounde397081123z_real: ( finite824932053eal_sz > real ) > bounde472938360z_real ).
thf(tp_collec1002602816eal_sz,type,
collec1002602816eal_sz: ( finite824932053eal_sz > $o ) > set_Fi291318197eal_sz ).
thf(tp_collec1199592193_sc_sz,type,
collec1199592193_sc_sz: ( produc1821101996_sc_sz > $o ) > set_Pr1169339874_sc_sz ).
thf(tp_collec1767975749t_unit,type,
collec1767975749t_unit: ( denota610675952t_unit > $o ) > set_De208295462t_unit ).
thf(tp_collec2086029184um_b_c,type,
collec2086029184um_b_c: ( sum_su737395349um_b_c > $o ) > set_Su1783761653um_b_c ).
thf(tp_collec451781861t_unit,type,
collec451781861t_unit: ( denota231621370t_unit > $o ) > set_De455519194t_unit ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_collect_trm_a_c,type,
collect_trm_a_c: ( trm_a_c > $o ) > set_trm_a_c ).
thf(tp_collect_trm_sf_sz,type,
collect_trm_sf_sz: ( trm_sf_sz > $o ) > set_trm_sf_sz ).
thf(tp_denota102713844ree_sz,type,
denota102713844ree_sz: produc1149990247eal_sz > produc1149990247eal_sz > set_Sum_sum_sz_sz > $o ).
thf(tp_denota1179238309_sc_sz,type,
denota1179238309_sc_sz: denota610675952t_unit > trm_sf_sz > finite824932053eal_sz > real ).
thf(tp_denota1579475975_sc_sz,type,
denota1579475975_sc_sz: denota610675952t_unit > $o ).
thf(tp_denota1979904720_sc_sz,type,
denota1979904720_sc_sz: denota610675952t_unit > trm_sf_sz > finite824932053eal_sz > finite824932053eal_sz > real ).
thf(tp_denota1997846518gree_c,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(tp_denota2042094639_a_b_c,type,
denota2042094639_a_b_c: denota231621370t_unit > trm_a_c > finite1398487019real_c > real ).
thf(tp_denota2112424896_a_b_c,type,
denota2112424896_a_b_c: denota231621370t_unit > trm_a_c > produc190496183real_c > real ).
thf(tp_denota229585092_a_b_c,type,
denota229585092_a_b_c: denota231621370t_unit > trm_a_c > finite1398487019real_c > finite1398487019real_c > real ).
thf(tp_denota258389581_a_b_c,type,
denota258389581_a_b_c: denota231621370t_unit > $o ).
thf(tp_denota453121236_sc_sz,type,
denota453121236_sc_sz: denota610675952t_unit > trm_sf_sz > produc1149990247eal_sz > real ).
thf(tp_denota69106024_a_b_c,type,
denota69106024_a_b_c: denota231621370t_unit > denota231621370t_unit > set_Su1783761653um_b_c > $o ).
thf(tp_dfree_a_c,type,
dfree_a_c: trm_a_c > $o ).
thf(tp_dfree_sf_sz,type,
dfree_sf_sz: trm_sf_sz > $o ).
thf(tp_empty_sz_sf,type,
empty_sz_sf: sz > trm_sf_sz ).
thf(tp_f0_sf_sz,type,
f0_sf_sz: sf > trm_sf_sz ).
thf(tp_freche1046279700_sf_sz,type,
freche1046279700_sf_sz: trm_sf_sz > frechet_strm_sf_sz ).
thf(tp_freche1244000341_sf_sz,type,
freche1244000341_sf_sz: trm_sf_sz > frechet_strm_sf_sz > $o ).
thf(tp_freche1421597129_sc_sz,type,
freche1421597129_sc_sz: freche2095075217_sc_sz > denota610675952t_unit ).
thf(tp_freche1473475332_a_b_c,type,
freche1473475332_a_b_c: denota231621370t_unit > freche914690577_a_b_c ).
thf(tp_freche1608036107_a_b_c,type,
freche1608036107_a_b_c: freche914690577_a_b_c > denota231621370t_unit ).
thf(tp_freche1784963216_sc_sz,type,
freche1784963216_sc_sz: denota610675952t_unit > freche2095075217_sc_sz ).
thf(tp_freche585307148_sc_sz,type,
freche585307148_sc_sz: freche2095075217_sc_sz > frechet_strm_sf_sz > finite824932053eal_sz > bounde472938360z_real ).
thf(tp_freche58918398_sc_sz,type,
freche58918398_sc_sz: denota610675952t_unit > freche2095075217_sc_sz > $o ).
thf(tp_freche665377492rm_a_c,type,
freche665377492rm_a_c: trm_a_c > frechet_strm_a_c ).
thf(tp_freche782854530_sf_sz,type,
freche782854530_sf_sz: frechet_strm_sf_sz > trm_sf_sz ).
thf(tp_frechet_cr_strm_a_c,type,
frechet_cr_strm_a_c: trm_a_c > frechet_strm_a_c > $o ).
thf(tp_frechet_raw_term_a_c,type,
frechet_raw_term_a_c: frechet_strm_a_c > trm_a_c ).
thf(tp_function_a_c,type,
function_a_c: a > ( c > trm_a_c ) > trm_a_c ).
thf(tp_function_sf_sz,type,
function_sf_sz: sf > ( sz > trm_sf_sz ) > trm_sf_sz ).
thf(tp_i,type,
i: denota231621370t_unit ).
thf(tp_ids_sz_sf_sc,type,
ids_sz_sf_sc: sz > sz > sz > sf > sf > sf > sc > sc > sc > sc > $o ).
thf(tp_if_Bou1785791806z_real,type,
if_Bou1785791806z_real: $o > bounde472938360z_real > bounde472938360z_real > bounde472938360z_real ).
thf(tp_j,type,
j: denota231621370t_unit ).
thf(tp_member1057565379_sc_sz,type,
member1057565379_sc_sz: produc1821101996_sc_sz > set_Pr1169339874_sc_sz > $o ).
thf(tp_member1693951742eal_sz,type,
member1693951742eal_sz: finite824932053eal_sz > set_Fi291318197eal_sz > $o ).
thf(tp_member1777622435t_unit,type,
member1777622435t_unit: denota231621370t_unit > set_De455519194t_unit > $o ).
thf(tp_member1893232190um_b_c,type,
member1893232190um_b_c: sum_su737395349um_b_c > set_Su1783761653um_b_c > $o ).
thf(tp_member754147591t_unit,type,
member754147591t_unit: denota610675952t_unit > set_De208295462t_unit > $o ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_member_trm_a_c,type,
member_trm_a_c: trm_a_c > set_trm_a_c > $o ).
thf(tp_member_trm_sf_sz,type,
member_trm_sf_sz: trm_sf_sz > set_trm_sf_sz > $o ).
thf(tp_nu,type,
nu: produc190496183real_c ).
thf(tp_nu2,type,
nu2: produc190496183real_c ).
thf(tp_ord_le108471557c_sz_o,type,
ord_le108471557c_sz_o: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > ( denota610675952t_unit > produc866628903_sc_sz > $o ) > $o ).
thf(tp_ord_le1110131657_sz_sz,type,
ord_le1110131657_sz_sz: set_Sum_sum_sz_sz > set_Sum_sum_sz_sz > $o ).
thf(tp_ord_le1230423618_sc_sz,type,
ord_le1230423618_sc_sz: set_Pr1169339874_sc_sz > set_Pr1169339874_sc_sz > $o ).
thf(tp_ord_le1369644495rm_a_c,type,
ord_le1369644495rm_a_c: set_trm_a_c > set_trm_a_c > $o ).
thf(tp_ord_le1643089911_set_a,type,
ord_le1643089911_set_a: produc903182423_set_a > produc903182423_set_a > $o ).
thf(tp_ord_le1697056455_sf_sz,type,
ord_le1697056455_sf_sz: set_trm_sf_sz > set_trm_sf_sz > $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_le1883211903_o_a_o,type,
ord_le1883211903_o_a_o: product_prod_a_o_a_o > product_prod_a_o_a_o > $o ).
thf(tp_ord_le1884788375f_sz_o,type,
ord_le1884788375f_sz_o: produc1144880887f_sz_o > produc1144880887f_sz_o > $o ).
thf(tp_ord_le2003534918unit_o,type,
ord_le2003534918unit_o: ( denota610675952t_unit > denota610675952t_unit > $o ) > ( denota610675952t_unit > denota610675952t_unit > $o ) > $o ).
thf(tp_ord_le2132572860_o_a_o,type,
ord_le2132572860_o_a_o: produc1065634396_o_a_o > produc1065634396_o_a_o > $o ).
thf(tp_ord_le41263445eal_sz,type,
ord_le41263445eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > $o ).
thf(tp_ord_le472894788f_sz_o,type,
ord_le472894788f_sz_o: produc1553439972f_sz_o > produc1553439972f_sz_o > $o ).
thf(tp_ord_le473656583eal_sz,type,
ord_le473656583eal_sz: produc1149990247eal_sz > produc1149990247eal_sz > $o ).
thf(tp_ord_le486764743_set_a,type,
ord_le486764743_set_a: produc1691597095_set_a > produc1691597095_set_a > $o ).
thf(tp_ord_le501349868_a_a_o,type,
ord_le501349868_a_a_o: produc1989635468_a_a_o > produc1989635468_a_a_o > $o ).
thf(tp_ord_le72828020_set_a,type,
ord_le72828020_set_a: produc1561113620_set_a > produc1561113620_set_a > $o ).
thf(tp_ord_le775706699real_c,type,
ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).
thf(tp_ord_le787639925eal_sz,type,
ord_le787639925eal_sz: finite824932053eal_sz > finite824932053eal_sz > $o ).
thf(tp_ord_le850691415real_c,type,
ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).
thf(tp_ord_le8515534f_sz_o,type,
ord_le8515534f_sz_o: ( trm_sf_sz > trm_sf_sz > $o ) > ( trm_sf_sz > trm_sf_sz > $o ) > $o ).
thf(tp_ord_le929608341um_b_c,type,
ord_le929608341um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > $o ).
thf(tp_ord_le978883847eal_sz,type,
ord_le978883847eal_sz: produc1241881959eal_sz > produc1241881959eal_sz > $o ).
thf(tp_ord_less_eq_a_o,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(tp_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_p_sc_sf_sz,type,
p_sc_sf_sz: sc > formula_sf_sc_sz ).
thf(tp_plus_a_c,type,
plus_a_c: trm_a_c > trm_a_c > trm_a_c ).
thf(tp_plus_sf_sz,type,
plus_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(tp_predic913887884_sf_sz,type,
predic913887884_sf_sz: sc > formula_sf_sc_sz ).
thf(tp_produc1045727450_set_a,type,
produc1045727450_set_a: produc1561113620_set_a > a > $o ).
thf(tp_produc1070758376f_sz_o,type,
produc1070758376f_sz_o: produc1553439972f_sz_o > trm_sf_sz > trm_sf_sz > $o ).
thf(tp_produc1111759555eal_sz,type,
produc1111759555eal_sz: produc1149990247eal_sz > finite824932053eal_sz ).
thf(tp_produc1152932438_o_a_o,type,
produc1152932438_o_a_o: ( trm_sf_sz > trm_sf_sz > $o ) > ( a > $o ) > produc1065634396_o_a_o ).
thf(tp_produc1174558183f_sz_o,type,
produc1174558183f_sz_o: set_a > ( trm_sf_sz > trm_sf_sz > $o ) > produc1144880887f_sz_o ).
thf(tp_produc1235791063eal_sz,type,
produc1235791063eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > produc1241881959eal_sz ).
thf(tp_produc1269210629eal_sz,type,
produc1269210629eal_sz: produc1149990247eal_sz > finite824932053eal_sz ).
thf(tp_produc1305389080_set_a,type,
produc1305389080_set_a: produc1561113620_set_a > set_a ).
thf(tp_produc1308130519eal_sz,type,
produc1308130519eal_sz: finite824932053eal_sz > finite824932053eal_sz > produc1149990247eal_sz ).
thf(tp_produc1422611269z_real,type,
produc1422611269z_real: produc1892666919z_real > bounde472938360z_real ).
thf(tp_produc1453865130f_sz_o,type,
produc1453865130f_sz_o: produc1553439972f_sz_o > a > $o ).
thf(tp_produc1503602930_sc_sz,type,
produc1503602930_sc_sz: produc1821101996_sc_sz > denota610675952t_unit ).
thf(tp_produc1543226183_set_a,type,
produc1543226183_set_a: ( trm_sf_sz > trm_sf_sz > $o ) > set_a > produc903182423_set_a ).
thf(tp_produc1630531752_o_a_o,type,
produc1630531752_o_a_o: produc1065634396_o_a_o > a > $o ).
thf(tp_produc1746886149eal_sz,type,
produc1746886149eal_sz: produc1241881959eal_sz > set_Fi291318197eal_sz ).
thf(tp_produc1822718231_sc_sz,type,
produc1822718231_sc_sz: list_f1238882004_sc_sz > list_f1238882004_sc_sz > produc866628903_sc_sz ).
thf(tp_produc1911461786_a_a_o,type,
produc1911461786_a_a_o: produc1989635468_a_a_o > set_a ).
thf(tp_produc1916559302_set_a,type,
produc1916559302_set_a: ( a > $o ) > set_a > produc1561113620_set_a ).
thf(tp_produc1926412547_set_a,type,
produc1926412547_set_a: produc1691597095_set_a > set_a ).
thf(tp_produc1928581911_set_a,type,
produc1928581911_set_a: set_a > set_a > produc1691597095_set_a ).
thf(tp_produc2010422875real_c,type,
produc2010422875real_c: produc190496183real_c > finite1398487019real_c ).
thf(tp_produc2013638506_o_a_o,type,
produc2013638506_o_a_o: produc1065634396_o_a_o > trm_sf_sz > trm_sf_sz > $o ).
thf(tp_produc23639768_a_a_o,type,
produc23639768_a_a_o: produc1989635468_a_a_o > a > $o ).
thf(tp_produc286845635eal_sz,type,
produc286845635eal_sz: produc1241881959eal_sz > set_Fi291318197eal_sz ).
thf(tp_produc314122909real_c,type,
produc314122909real_c: produc190496183real_c > finite1398487019real_c ).
thf(tp_produc38604755f_sz_o,type,
produc38604755f_sz_o: produc1144880887f_sz_o > set_a ).
thf(tp_produc394644079real_c,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(tp_produc407272755_set_a,type,
produc407272755_set_a: produc903182423_set_a > trm_sf_sz > trm_sf_sz > $o ).
thf(tp_produc407510293f_sz_o,type,
produc407510293f_sz_o: produc1144880887f_sz_o > trm_sf_sz > trm_sf_sz > $o ).
thf(tp_produc4753477_sc_sz,type,
produc4753477_sc_sz: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(tp_produc548504323_sc_sz,type,
produc548504323_sc_sz: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(tp_produc593159062f_sz_o,type,
produc593159062f_sz_o: ( a > $o ) > ( trm_sf_sz > trm_sf_sz > $o ) > produc1553439972f_sz_o ).
thf(tp_produc634809990_a_a_o,type,
produc634809990_a_a_o: set_a > ( a > $o ) > produc1989635468_a_a_o ).
thf(tp_produc776178293_set_a,type,
produc776178293_set_a: produc903182423_set_a > set_a ).
thf(tp_produc784663575z_real,type,
produc784663575z_real: bounde472938360z_real > bounde472938360z_real > produc1892666919z_real ).
thf(tp_produc789536734_sc_sz,type,
produc789536734_sc_sz: denota610675952t_unit > produc866628903_sc_sz > produc1821101996_sc_sz ).
thf(tp_produc870616579z_real,type,
produc870616579z_real: produc1892666919z_real > bounde472938360z_real ).
thf(tp_produc918972485_set_a,type,
produc918972485_set_a: produc1691597095_set_a > set_a ).
thf(tp_produc974239792_sc_sz,type,
produc974239792_sc_sz: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(tp_product_Pair_a_o_a_o,type,
product_Pair_a_o_a_o: ( a > $o ) > ( a > $o ) > product_prod_a_o_a_o ).
thf(tp_product_fst_a_o_a_o,type,
product_fst_a_o_a_o: product_prod_a_o_a_o > a > $o ).
thf(tp_product_snd_a_o_a_o,type,
product_snd_a_o_a_o: product_prod_a_o_a_o > a > $o ).
thf(tp_quotie1467858509rm_a_c,type,
quotie1467858509rm_a_c: ( trm_a_c > trm_a_c > $o ) > ( trm_a_c > frechet_strm_a_c ) > ( frechet_strm_a_c > trm_a_c ) > ( trm_a_c > frechet_strm_a_c > $o ) > $o ).
thf(tp_quotie1549861309_sf_sz,type,
quotie1549861309_sf_sz: ( trm_sf_sz > trm_sf_sz > $o ) > ( trm_sf_sz > frechet_strm_sf_sz ) > ( frechet_strm_sf_sz > trm_sf_sz ) > ( trm_sf_sz > frechet_strm_sf_sz > $o ) > $o ).
thf(tp_quotie842200089_sc_sz,type,
quotie842200089_sc_sz: ( denota610675952t_unit > denota610675952t_unit > $o ) > ( denota610675952t_unit > freche2095075217_sc_sz ) > ( freche2095075217_sc_sz > denota610675952t_unit ) > ( denota610675952t_unit > freche2095075217_sc_sz > $o ) > $o ).
thf(tp_static_FVDiff_a_c,type,
static_FVDiff_a_c: trm_a_c > set_Sum_sum_c_c ).
thf(tp_static_FVDiff_sf_sz,type,
static_FVDiff_sf_sz: trm_sf_sz > set_Sum_sum_sz_sz ).
thf(tp_static_FVT_a_c,type,
static_FVT_a_c: trm_a_c > set_Sum_sum_c_c ).
thf(tp_static_FVT_sf_sz,type,
static_FVT_sf_sz: trm_sf_sz > set_Sum_sum_sz_sz ).
thf(tp_static_SIGT_a_c,type,
static_SIGT_a_c: trm_a_c > set_a ).
thf(tp_sum_In2139678582um_b_c,type,
sum_In2139678582um_b_c: a > sum_su737395349um_b_c ).
thf(tp_t1,type,
t1: trm_a_c ).
thf(tp_t2,type,
t2: trm_a_c ).
thf(tp_times_a_c,type,
times_a_c: trm_a_c > trm_a_c > trm_a_c ).
thf(tp_times_sf_sz,type,
times_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(tp_top_to1201357528_b_c_o,type,
top_to1201357528_b_c_o: sum_su737395349um_b_c > $o ).
thf(tp_top_to1399053141c_sz_o,type,
top_to1399053141c_sz_o: denota610675952t_unit > produc866628903_sc_sz > $o ).
thf(tp_top_to1499569298_sc_sz,type,
top_to1499569298_sc_sz: set_Pr1169339874_sc_sz ).
thf(tp_top_to1660572043um_c_c,type,
top_to1660572043um_c_c: set_Sum_sum_c_c ).
thf(tp_top_to1787697847eal_sz,type,
top_to1787697847eal_sz: produc1241881959eal_sz ).
thf(tp_top_to1873962757eal_sz,type,
top_to1873962757eal_sz: set_Fi291318197eal_sz ).
thf(tp_top_to524132421um_b_c,type,
top_to524132421um_b_c: set_Su1783761653um_b_c ).
thf(tp_top_to646513176l_sz_o,type,
top_to646513176l_sz_o: finite824932053eal_sz > $o ).
thf(tp_top_top_set_a,type,
top_top_set_a: set_a ).
thf(tp_topolo1027477648z_real,type,
topolo1027477648z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > produc1892666919z_real ) > $o ).
thf(tp_topolo1348430467z_real,type,
topolo1348430467z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > real ) > $o ).
thf(tp_topolo885751137z_real,type,
topolo885751137z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > bounde472938360z_real ) > $o ).
thf(tp_type_d1092523951t_unit,type,
type_d1092523951t_unit: ( freche2095075217_sc_sz > denota610675952t_unit ) > ( denota610675952t_unit > freche2095075217_sc_sz ) > set_De208295462t_unit > $o ).
thf(tp_type_d1238563341rm_a_c,type,
type_d1238563341rm_a_c: ( frechet_strm_a_c > trm_a_c ) > ( trm_a_c > frechet_strm_a_c ) > set_trm_a_c > $o ).
thf(tp_type_d46389773_sf_sz,type,
type_d46389773_sf_sz: ( frechet_strm_sf_sz > trm_sf_sz ) > ( trm_sf_sz > frechet_strm_sf_sz ) > set_trm_sf_sz > $o ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Bounded____Linear____Function__Oblinfun_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_Mt__Real__Oreal_J_T) ).
thf(17,axiom,
! [Nu: produc190496183real_c,Omega: produc190496183real_c] :
( ( denota1997846518gree_c @ Nu @ Omega @ top_to1660572043um_c_c )
=> ( Nu = Omega ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_340_agree__UNIV__eq) ).
thf(18,axiom,
! [A2: finite1398487019real_c,B2: finite1398487019real_c,C2: finite1398487019real_c,D: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( produc394644079real_c @ A2 @ B2 ) @ ( produc394644079real_c @ C2 @ D ) @ top_to1660572043um_c_c )
=> ( ( A2 = C2 )
& ( B2 = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_339_Vagree__univ) ).
thf(42,axiom,
! [F2: trm_a_c] : ( ord_le1772180283um_c_c @ ( static_FVT_a_c @ F2 ) @ ( static_FVDiff_a_c @ F2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_315_FVDiff__sub) ).
thf(255,axiom,
! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c,Nu: produc190496183real_c,Nu2: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( ( denota1997846518gree_c @ Nu @ Nu2 @ A )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_agree__supset) ).
thf(257,axiom,
! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c,Nu: produc190496183real_c,Omega: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ A @ B )
=> ( ( denota1997846518gree_c @ Nu @ Omega @ B )
=> ( denota1997846518gree_c @ Nu @ Omega @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_agree__sub) ).
thf(337,axiom,
! [Nu: produc190496183real_c,Nu2: produc190496183real_c,Var: a,Args: c > trm_a_c,I: c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( function_a_c @ Var @ Args ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( Args @ I ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_agree__func) ).
thf(339,axiom,
! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( times_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_agree__times2) ).
thf(341,axiom,
! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( times_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_agree__times1) ).
thf(347,axiom,
! [Nu: produc190496183real_c,A: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu @ Nu @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_agree__refl) ).
thf(349,axiom,
! [A: produc190496183real_c,B: produc190496183real_c,V: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ A @ B @ V )
=> ( denota1997846518gree_c @ B @ A @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_agree__comm) ).
thf(351,axiom,
! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_agree__plus1) ).
thf(353,axiom,
dfree_a_c @ t2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_dfree2) ).
thf(354,axiom,
denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_agree1) ).
thf(355,axiom,
denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ t1 @ t2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_agree) ).
thf(356,axiom,
! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_agree__plus2) ).
thf(358,conjecture,
denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(359,negated_conjecture,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[358]) ).
thf(360,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
= $false ),
inference(unfold_def,[status(thm)],[359]) ).
thf(361,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(362,plain,
( ( ! [Nu: produc190496183real_c,Omega: produc190496183real_c] :
( ( denota1997846518gree_c @ Nu @ Omega @ top_to1660572043um_c_c )
=> ( Nu = Omega ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(363,plain,
( ( ! [A2: finite1398487019real_c,B2: finite1398487019real_c,C2: finite1398487019real_c,D: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( produc394644079real_c @ A2 @ B2 ) @ ( produc394644079real_c @ C2 @ D ) @ top_to1660572043um_c_c )
=> ( ( A2 = C2 )
& ( B2 = D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(364,plain,
( ( ! [F2: trm_a_c] : ( ord_le1772180283um_c_c @ ( static_FVT_a_c @ F2 ) @ ( static_FVDiff_a_c @ F2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(365,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c,Nu: produc190496183real_c,Nu2: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( ( denota1997846518gree_c @ Nu @ Nu2 @ A )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(366,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c,Nu: produc190496183real_c,Omega: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ A @ B )
=> ( ( denota1997846518gree_c @ Nu @ Omega @ B )
=> ( denota1997846518gree_c @ Nu @ Omega @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(367,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,Var: a,Args: c > trm_a_c,I: c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( function_a_c @ Var @ Args ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( Args @ I ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(368,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( times_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(369,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( times_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(370,plain,
( ( ! [Nu: produc190496183real_c,A: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu @ Nu @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(371,plain,
( ( ! [A: produc190496183real_c,B: produc190496183real_c,V: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ A @ B @ V )
=> ( denota1997846518gree_c @ B @ A @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(372,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(373,plain,
( ( dfree_a_c @ t2 )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(374,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t1 ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(375,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ t1 @ t2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(376,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(377,plain,
( ( ~ ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[360]) ).
thf(378,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(379,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ t1 @ t2 ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(380,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t1 ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(381,plain,
( ( dfree_a_c @ t2 )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(382,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(383,plain,
( ( ! [A: produc190496183real_c,B: produc190496183real_c,V: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ A @ B @ V )
=> ( denota1997846518gree_c @ B @ A @ V ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(384,plain,
( ( ! [Nu: produc190496183real_c,A: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu @ Nu @ A ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(385,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( times_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(386,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,T1: trm_a_c,T2: trm_a_c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( times_a_c @ T1 @ T2 ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ T2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(387,plain,
( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,Var: a,Args: c > trm_a_c,I: c] :
( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( function_a_c @ Var @ Args ) ) )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVDiff_a_c @ ( Args @ I ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(388,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c,Nu: produc190496183real_c,Omega: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ A @ B )
=> ( ( denota1997846518gree_c @ Nu @ Omega @ B )
=> ( denota1997846518gree_c @ Nu @ Omega @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(389,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c,Nu: produc190496183real_c,Nu2: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( ( denota1997846518gree_c @ Nu @ Nu2 @ A )
=> ( denota1997846518gree_c @ Nu @ Nu2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(390,plain,
( ( ! [F2: trm_a_c] : ( ord_le1772180283um_c_c @ ( static_FVT_a_c @ F2 ) @ ( static_FVDiff_a_c @ F2 ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(391,plain,
( ( ! [A2: finite1398487019real_c,B2: finite1398487019real_c,C2: finite1398487019real_c,D: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( produc394644079real_c @ A2 @ B2 ) @ ( produc394644079real_c @ C2 @ D ) @ top_to1660572043um_c_c )
=> ( ( A2 = C2 )
& ( B2 = D ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(392,plain,
( ( ! [Nu: produc190496183real_c,Omega: produc190496183real_c] :
( ( denota1997846518gree_c @ Nu @ Omega @ top_to1660572043um_c_c )
=> ( Nu = Omega ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(393,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(394,plain,
( ( ~ ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(395,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)],[383]) ).
thf(396,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: trm_a_c,SX3: trm_a_c] :
( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ ( plus_a_c @ SX2 @ SX3 ) ) )
| ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(397,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: trm_a_c,SX3: trm_a_c] :
( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ ( plus_a_c @ SX2 @ SX3 ) ) )
| ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(398,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)],[388]) ).
thf(399,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: a,SX3: c > trm_a_c,SX4: c] :
( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ ( function_a_c @ SX2 @ SX3 ) ) )
| ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ ( SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(400,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)],[389]) ).
thf(401,plain,
( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
( ~ ( denota1997846518gree_c @ ( produc394644079real_c @ SX0 @ SX1 ) @ ( produc394644079real_c @ SX2 @ SX3 ) @ top_to1660572043um_c_c )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(402,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c] :
( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ top_to1660572043um_c_c )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(403,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: trm_a_c,SX3: trm_a_c] :
( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ ( times_a_c @ SX2 @ SX3 ) ) )
| ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(404,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: trm_a_c,SX3: trm_a_c] :
( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ ( times_a_c @ SX2 @ SX3 ) ) )
| ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVDiff_a_c @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(405,plain,
! [SV1: produc190496183real_c] :
( ( ! [SY42: set_Sum_sum_c_c] : ( denota1997846518gree_c @ SV1 @ SV1 @ SY42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(406,plain,
! [SV2: trm_a_c] :
( ( ord_le1772180283um_c_c @ ( static_FVT_a_c @ SV2 ) @ ( static_FVDiff_a_c @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(407,plain,
! [SV3: $o] :
( ( ( SV3 = $true )
| ( SV3 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[393]) ).
thf(408,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[393]) ).
thf(409,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[393]) ).
thf(410,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(411,plain,
! [SV4: produc190496183real_c] :
( ( ! [SY43: produc190496183real_c,SY44: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SV4 @ SY43 @ SY44 )
| ( denota1997846518gree_c @ SY43 @ SV4 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(412,plain,
! [SV5: produc190496183real_c] :
( ( ! [SY45: produc190496183real_c,SY46: trm_a_c,SY47: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV5 @ SY45 @ ( static_FVDiff_a_c @ ( plus_a_c @ SY46 @ SY47 ) ) )
| ( denota1997846518gree_c @ SV5 @ SY45 @ ( static_FVDiff_a_c @ SY46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(413,plain,
! [SV6: produc190496183real_c] :
( ( ! [SY48: produc190496183real_c,SY49: trm_a_c,SY50: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV6 @ SY48 @ ( static_FVDiff_a_c @ ( plus_a_c @ SY49 @ SY50 ) ) )
| ( denota1997846518gree_c @ SV6 @ SY48 @ ( static_FVDiff_a_c @ SY50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(414,plain,
! [SV7: set_Sum_sum_c_c] :
( ( ! [SY51: set_Sum_sum_c_c,SY52: produc190496183real_c,SY53: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV7 @ SY51 )
| ~ ( denota1997846518gree_c @ SY52 @ SY53 @ SY51 )
| ( denota1997846518gree_c @ SY52 @ SY53 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(415,plain,
! [SV8: produc190496183real_c] :
( ( ! [SY54: produc190496183real_c,SY55: a,SY56: c > trm_a_c,SY57: c] :
( ~ ( denota1997846518gree_c @ SV8 @ SY54 @ ( static_FVDiff_a_c @ ( function_a_c @ SY55 @ SY56 ) ) )
| ( denota1997846518gree_c @ SV8 @ SY54 @ ( static_FVDiff_a_c @ ( SY56 @ SY57 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(416,plain,
! [SV9: set_Sum_sum_c_c] :
( ( ! [SY58: set_Sum_sum_c_c,SY59: produc190496183real_c,SY60: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV9 @ SY58 )
| ~ ( denota1997846518gree_c @ SY59 @ SY60 @ SY58 )
| ( denota1997846518gree_c @ SY59 @ SY60 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(417,plain,
! [SV10: finite1398487019real_c] :
( ( ! [SY61: finite1398487019real_c,SY62: finite1398487019real_c,SY63: finite1398487019real_c] :
( ~ ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SY61 ) @ ( produc394644079real_c @ SY62 @ SY63 ) @ top_to1660572043um_c_c )
| ~ ( ( SV10 != SY62 )
| ( SY61 != SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(418,plain,
! [SV11: produc190496183real_c] :
( ( ! [SY64: produc190496183real_c] :
( ~ ( denota1997846518gree_c @ SV11 @ SY64 @ top_to1660572043um_c_c )
| ( SV11 = SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(419,plain,
! [SV12: produc190496183real_c] :
( ( ! [SY65: produc190496183real_c,SY66: trm_a_c,SY67: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV12 @ SY65 @ ( static_FVDiff_a_c @ ( times_a_c @ SY66 @ SY67 ) ) )
| ( denota1997846518gree_c @ SV12 @ SY65 @ ( static_FVDiff_a_c @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(420,plain,
! [SV13: produc190496183real_c] :
( ( ! [SY68: produc190496183real_c,SY69: trm_a_c,SY70: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV13 @ SY68 @ ( static_FVDiff_a_c @ ( times_a_c @ SY69 @ SY70 ) ) )
| ( denota1997846518gree_c @ SV13 @ SY68 @ ( static_FVDiff_a_c @ SY70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(421,plain,
! [SV14: set_Sum_sum_c_c,SV1: produc190496183real_c] :
( ( denota1997846518gree_c @ SV1 @ SV1 @ SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(422,plain,
! [SV3: $o] :
( ( ( SV3 = $true )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(423,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(424,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(425,plain,
! [SV15: produc190496183real_c,SV4: produc190496183real_c] :
( ( ! [SY71: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SV4 @ SV15 @ SY71 )
| ( denota1997846518gree_c @ SV15 @ SV4 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(426,plain,
! [SV16: produc190496183real_c,SV5: produc190496183real_c] :
( ( ! [SY72: trm_a_c,SY73: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ ( plus_a_c @ SY72 @ SY73 ) ) )
| ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ SY72 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(427,plain,
! [SV17: produc190496183real_c,SV6: produc190496183real_c] :
( ( ! [SY74: trm_a_c,SY75: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ ( plus_a_c @ SY74 @ SY75 ) ) )
| ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(428,plain,
! [SV18: set_Sum_sum_c_c,SV7: set_Sum_sum_c_c] :
( ( ! [SY76: produc190496183real_c,SY77: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV7 @ SV18 )
| ~ ( denota1997846518gree_c @ SY76 @ SY77 @ SV18 )
| ( denota1997846518gree_c @ SY76 @ SY77 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(429,plain,
! [SV19: produc190496183real_c,SV8: produc190496183real_c] :
( ( ! [SY78: a,SY79: c > trm_a_c,SY80: c] :
( ~ ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( function_a_c @ SY78 @ SY79 ) ) )
| ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( SY79 @ SY80 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(430,plain,
! [SV20: set_Sum_sum_c_c,SV9: set_Sum_sum_c_c] :
( ( ! [SY81: produc190496183real_c,SY82: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV9 @ SV20 )
| ~ ( denota1997846518gree_c @ SY81 @ SY82 @ SV20 )
| ( denota1997846518gree_c @ SY81 @ SY82 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(431,plain,
! [SV21: finite1398487019real_c,SV10: finite1398487019real_c] :
( ( ! [SY83: finite1398487019real_c,SY84: finite1398487019real_c] :
( ~ ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SY83 @ SY84 ) @ top_to1660572043um_c_c )
| ~ ( ( SV10 != SY83 )
| ( SV21 != SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(432,plain,
! [SV22: produc190496183real_c,SV11: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV11 @ SV22 @ top_to1660572043um_c_c )
| ( SV11 = SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(433,plain,
! [SV23: produc190496183real_c,SV12: produc190496183real_c] :
( ( ! [SY85: trm_a_c,SY86: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ ( times_a_c @ SY85 @ SY86 ) ) )
| ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ SY85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(434,plain,
! [SV24: produc190496183real_c,SV13: produc190496183real_c] :
( ( ! [SY87: trm_a_c,SY88: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ ( times_a_c @ SY87 @ SY88 ) ) )
| ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ SY88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(435,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $true )
| ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[422]) ).
thf(436,plain,
! [SV3: $o] :
( ( ( SV3 = $true )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[422]) ).
thf(437,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[423]) ).
thf(438,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[423]) ).
thf(439,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(440,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(441,plain,
! [SV25: set_Sum_sum_c_c,SV15: produc190496183real_c,SV4: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV4 @ SV15 @ SV25 )
| ( denota1997846518gree_c @ SV15 @ SV4 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(442,plain,
! [SV26: trm_a_c,SV16: produc190496183real_c,SV5: produc190496183real_c] :
( ( ! [SY89: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ ( plus_a_c @ SV26 @ SY89 ) ) )
| ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(443,plain,
! [SV27: trm_a_c,SV17: produc190496183real_c,SV6: produc190496183real_c] :
( ( ! [SY90: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ ( plus_a_c @ SV27 @ SY90 ) ) )
| ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ SY90 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(444,plain,
! [SV28: produc190496183real_c,SV18: set_Sum_sum_c_c,SV7: set_Sum_sum_c_c] :
( ( ! [SY91: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV7 @ SV18 )
| ~ ( denota1997846518gree_c @ SV28 @ SY91 @ SV18 )
| ( denota1997846518gree_c @ SV28 @ SY91 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(445,plain,
! [SV29: a,SV19: produc190496183real_c,SV8: produc190496183real_c] :
( ( ! [SY92: c > trm_a_c,SY93: c] :
( ~ ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( function_a_c @ SV29 @ SY92 ) ) )
| ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( SY92 @ SY93 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(446,plain,
! [SV30: produc190496183real_c,SV20: set_Sum_sum_c_c,SV9: set_Sum_sum_c_c] :
( ( ! [SY94: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV9 @ SV20 )
| ~ ( denota1997846518gree_c @ SV30 @ SY94 @ SV20 )
| ( denota1997846518gree_c @ SV30 @ SY94 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(447,plain,
! [SV31: finite1398487019real_c,SV21: finite1398487019real_c,SV10: finite1398487019real_c] :
( ( ! [SY95: finite1398487019real_c] :
( ~ ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SV31 @ SY95 ) @ top_to1660572043um_c_c )
| ~ ( ( SV10 != SV31 )
| ( SV21 != SY95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(448,plain,
! [SV22: produc190496183real_c,SV11: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV11 @ SV22 @ top_to1660572043um_c_c ) )
= $true )
| ( ( SV11 = SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(449,plain,
! [SV32: trm_a_c,SV23: produc190496183real_c,SV12: produc190496183real_c] :
( ( ! [SY96: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ ( times_a_c @ SV32 @ SY96 ) ) )
| ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(450,plain,
! [SV33: trm_a_c,SV24: produc190496183real_c,SV13: produc190496183real_c] :
( ( ! [SY97: trm_a_c] :
( ~ ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ ( times_a_c @ SV33 @ SY97 ) ) )
| ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(451,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $true ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(452,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[436]) ).
thf(453,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[436]) ).
thf(454,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(455,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[438]) ).
thf(456,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[438]) ).
thf(457,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(458,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[440]) ).
thf(459,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[440]) ).
thf(460,plain,
! [SV25: set_Sum_sum_c_c,SV15: produc190496183real_c,SV4: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV4 @ SV15 @ SV25 ) )
= $true )
| ( ( denota1997846518gree_c @ SV15 @ SV4 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(461,plain,
! [SV34: trm_a_c,SV26: trm_a_c,SV16: produc190496183real_c,SV5: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ ( plus_a_c @ SV26 @ SV34 ) ) )
| ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(462,plain,
! [SV35: trm_a_c,SV27: trm_a_c,SV17: produc190496183real_c,SV6: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ ( plus_a_c @ SV27 @ SV35 ) ) )
| ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(463,plain,
! [SV36: produc190496183real_c,SV28: produc190496183real_c,SV18: set_Sum_sum_c_c,SV7: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV7 @ SV18 )
| ~ ( denota1997846518gree_c @ SV28 @ SV36 @ SV18 )
| ( denota1997846518gree_c @ SV28 @ SV36 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(464,plain,
! [SV37: c > trm_a_c,SV29: a,SV19: produc190496183real_c,SV8: produc190496183real_c] :
( ( ! [SY98: c] :
( ~ ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( function_a_c @ SV29 @ SV37 ) ) )
| ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( SV37 @ SY98 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(465,plain,
! [SV38: produc190496183real_c,SV30: produc190496183real_c,SV20: set_Sum_sum_c_c,SV9: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV9 @ SV20 )
| ~ ( denota1997846518gree_c @ SV30 @ SV38 @ SV20 )
| ( denota1997846518gree_c @ SV30 @ SV38 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(466,plain,
! [SV39: finite1398487019real_c,SV31: finite1398487019real_c,SV21: finite1398487019real_c,SV10: finite1398487019real_c] :
( ( ~ ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SV31 @ SV39 ) @ top_to1660572043um_c_c )
| ~ ( ( SV10 != SV31 )
| ( SV21 != SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(467,plain,
! [SV22: produc190496183real_c,SV11: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV11 @ SV22 @ top_to1660572043um_c_c )
= $false )
| ( ( SV11 = SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(468,plain,
! [SV40: trm_a_c,SV32: trm_a_c,SV23: produc190496183real_c,SV12: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ ( times_a_c @ SV32 @ SV40 ) ) )
| ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(469,plain,
! [SV41: trm_a_c,SV33: trm_a_c,SV24: produc190496183real_c,SV13: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ ( times_a_c @ SV33 @ SV41 ) ) )
| ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(470,plain,
! [SV3: $o] :
( ( ( SV3
| $true )
= $false )
| ( ( ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(471,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(472,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(473,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(474,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(475,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(476,plain,
! [SV25: set_Sum_sum_c_c,SV15: produc190496183real_c,SV4: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV4 @ SV15 @ SV25 )
= $false )
| ( ( denota1997846518gree_c @ SV15 @ SV4 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(477,plain,
! [SV34: trm_a_c,SV26: trm_a_c,SV16: produc190496183real_c,SV5: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ ( plus_a_c @ SV26 @ SV34 ) ) ) )
= $true )
| ( ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(478,plain,
! [SV35: trm_a_c,SV27: trm_a_c,SV17: produc190496183real_c,SV6: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ ( plus_a_c @ SV27 @ SV35 ) ) ) )
= $true )
| ( ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(479,plain,
! [SV36: produc190496183real_c,SV28: produc190496183real_c,SV18: set_Sum_sum_c_c,SV7: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV7 @ SV18 ) )
= $true )
| ( ( ~ ( denota1997846518gree_c @ SV28 @ SV36 @ SV18 )
| ( denota1997846518gree_c @ SV28 @ SV36 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(480,plain,
! [SV42: c,SV37: c > trm_a_c,SV29: a,SV19: produc190496183real_c,SV8: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( function_a_c @ SV29 @ SV37 ) ) )
| ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( SV37 @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(481,plain,
! [SV38: produc190496183real_c,SV30: produc190496183real_c,SV20: set_Sum_sum_c_c,SV9: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV9 @ SV20 ) )
= $true )
| ( ( ~ ( denota1997846518gree_c @ SV30 @ SV38 @ SV20 )
| ( denota1997846518gree_c @ SV30 @ SV38 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(482,plain,
! [SV39: finite1398487019real_c,SV31: finite1398487019real_c,SV21: finite1398487019real_c,SV10: finite1398487019real_c] :
( ( ( ~ ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SV31 @ SV39 ) @ top_to1660572043um_c_c ) )
= $true )
| ( ( ~ ( ( SV10 != SV31 )
| ( SV21 != SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(483,plain,
! [SV40: trm_a_c,SV32: trm_a_c,SV23: produc190496183real_c,SV12: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ ( times_a_c @ SV32 @ SV40 ) ) ) )
= $true )
| ( ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(484,plain,
! [SV41: trm_a_c,SV33: trm_a_c,SV24: produc190496183real_c,SV13: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ ( times_a_c @ SV33 @ SV41 ) ) ) )
= $true )
| ( ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(485,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(486,plain,
! [SV3: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(487,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(488,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(489,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(490,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(491,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(492,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(493,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(494,plain,
! [SV34: trm_a_c,SV26: trm_a_c,SV16: produc190496183real_c,SV5: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ ( plus_a_c @ SV26 @ SV34 ) ) )
= $false )
| ( ( denota1997846518gree_c @ SV5 @ SV16 @ ( static_FVDiff_a_c @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(495,plain,
! [SV35: trm_a_c,SV27: trm_a_c,SV17: produc190496183real_c,SV6: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ ( plus_a_c @ SV27 @ SV35 ) ) )
= $false )
| ( ( denota1997846518gree_c @ SV6 @ SV17 @ ( static_FVDiff_a_c @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(496,plain,
! [SV36: produc190496183real_c,SV28: produc190496183real_c,SV18: set_Sum_sum_c_c,SV7: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV7 @ SV18 )
= $false )
| ( ( ~ ( denota1997846518gree_c @ SV28 @ SV36 @ SV18 )
| ( denota1997846518gree_c @ SV28 @ SV36 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(497,plain,
! [SV42: c,SV37: c > trm_a_c,SV29: a,SV19: produc190496183real_c,SV8: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( function_a_c @ SV29 @ SV37 ) ) ) )
= $true )
| ( ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( SV37 @ SV42 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(498,plain,
! [SV38: produc190496183real_c,SV30: produc190496183real_c,SV20: set_Sum_sum_c_c,SV9: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV9 @ SV20 )
= $false )
| ( ( ~ ( denota1997846518gree_c @ SV30 @ SV38 @ SV20 )
| ( denota1997846518gree_c @ SV30 @ SV38 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(499,plain,
! [SV39: finite1398487019real_c,SV31: finite1398487019real_c,SV21: finite1398487019real_c,SV10: finite1398487019real_c] :
( ( ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SV31 @ SV39 ) @ top_to1660572043um_c_c )
= $false )
| ( ( ~ ( ( SV10 != SV31 )
| ( SV21 != SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(500,plain,
! [SV40: trm_a_c,SV32: trm_a_c,SV23: produc190496183real_c,SV12: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ ( times_a_c @ SV32 @ SV40 ) ) )
= $false )
| ( ( denota1997846518gree_c @ SV12 @ SV23 @ ( static_FVDiff_a_c @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(501,plain,
! [SV41: trm_a_c,SV33: trm_a_c,SV24: produc190496183real_c,SV13: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ ( times_a_c @ SV33 @ SV41 ) ) )
= $false )
| ( ( denota1997846518gree_c @ SV13 @ SV24 @ ( static_FVDiff_a_c @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(502,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $true )
= $false )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(503,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(504,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(505,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(506,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(507,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(508,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(509,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(510,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(511,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(512,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(513,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(514,plain,
! [SV7: set_Sum_sum_c_c,SV18: set_Sum_sum_c_c,SV36: produc190496183real_c,SV28: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV28 @ SV36 @ SV18 ) )
= $true )
| ( ( denota1997846518gree_c @ SV28 @ SV36 @ SV7 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV7 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(515,plain,
! [SV42: c,SV37: c > trm_a_c,SV29: a,SV19: produc190496183real_c,SV8: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( function_a_c @ SV29 @ SV37 ) ) )
= $false )
| ( ( denota1997846518gree_c @ SV8 @ SV19 @ ( static_FVDiff_a_c @ ( SV37 @ SV42 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(516,plain,
! [SV9: set_Sum_sum_c_c,SV20: set_Sum_sum_c_c,SV38: produc190496183real_c,SV30: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV30 @ SV38 @ SV20 ) )
= $true )
| ( ( denota1997846518gree_c @ SV30 @ SV38 @ SV9 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV9 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(517,plain,
! [SV39: finite1398487019real_c,SV21: finite1398487019real_c,SV31: finite1398487019real_c,SV10: finite1398487019real_c] :
( ( ( ( SV10 != SV31 )
| ( SV21 != SV39 ) )
= $false )
| ( ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SV31 @ SV39 ) @ top_to1660572043um_c_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(518,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(519,plain,
! [SV3: $o] :
( ( ( ~ $true ) = $false )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(520,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(521,plain,
! [SV3: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(522,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(523,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(524,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(525,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(526,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(527,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(528,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(529,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(530,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(531,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(532,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(533,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(534,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(535,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(536,plain,
! [SV7: set_Sum_sum_c_c,SV18: set_Sum_sum_c_c,SV36: produc190496183real_c,SV28: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV28 @ SV36 @ SV18 )
= $false )
| ( ( denota1997846518gree_c @ SV28 @ SV36 @ SV7 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV7 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(537,plain,
! [SV9: set_Sum_sum_c_c,SV20: set_Sum_sum_c_c,SV38: produc190496183real_c,SV30: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV30 @ SV38 @ SV20 )
= $false )
| ( ( denota1997846518gree_c @ SV30 @ SV38 @ SV9 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV9 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(538,plain,
! [SV39: finite1398487019real_c,SV21: finite1398487019real_c,SV31: finite1398487019real_c,SV10: finite1398487019real_c] :
( ( ( SV10 != SV31 )
= $false )
| ( ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SV31 @ SV39 ) @ top_to1660572043um_c_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(539,plain,
! [SV31: finite1398487019real_c,SV10: finite1398487019real_c,SV39: finite1398487019real_c,SV21: finite1398487019real_c] :
( ( ( SV21 != SV39 )
= $false )
| ( ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SV31 @ SV39 ) @ top_to1660572043um_c_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(540,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(541,plain,
! [SV3: $o] :
( ( $true = $true )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(542,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(543,plain,
! [SV3: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(544,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(545,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(546,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(547,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(548,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(549,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(550,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(551,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(552,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[528]) ).
thf(553,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[528]) ).
thf(554,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(555,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(556,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(557,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(558,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(559,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(560,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(561,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(562,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(563,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(564,plain,
! [SV39: finite1398487019real_c,SV21: finite1398487019real_c,SV31: finite1398487019real_c,SV10: finite1398487019real_c] :
( ( ( SV10 = SV31 )
= $true )
| ( ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SV31 @ SV39 ) @ top_to1660572043um_c_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(565,plain,
! [SV31: finite1398487019real_c,SV10: finite1398487019real_c,SV39: finite1398487019real_c,SV21: finite1398487019real_c] :
( ( ( SV21 = SV39 )
= $true )
| ( ( denota1997846518gree_c @ ( produc394644079real_c @ SV10 @ SV21 ) @ ( produc394644079real_c @ SV31 @ SV39 ) @ top_to1660572043um_c_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(566,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[540]) ).
thf(567,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[540]) ).
thf(568,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[541]) ).
thf(569,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[541]) ).
thf(570,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[542]) ).
thf(571,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[542]) ).
thf(572,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(573,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(574,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(575,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(576,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(577,plain,
! [SV3: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(578,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[548]) ).
thf(579,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[548]) ).
thf(580,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(581,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(582,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(583,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(584,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[551]) ).
thf(585,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[551]) ).
thf(586,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(587,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(588,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(589,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(590,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[556]) ).
thf(591,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[556]) ).
thf(592,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(593,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(594,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[558]) ).
thf(595,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[558]) ).
thf(596,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(597,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(598,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(599,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(600,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(601,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(602,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(603,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(604,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(605,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(606,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(607,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(608,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(609,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(610,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(611,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(612,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(613,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(614,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(615,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(616,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(617,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(618,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(619,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(620,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(621,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(622,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(623,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(624,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(625,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(626,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[614]) ).
thf(627,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[614]) ).
thf(628,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(629,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(630,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(631,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(632,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(633,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(634,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(635,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(636,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(637,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(638,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(639,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(640,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(641,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(642,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(643,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(644,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(645,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(646,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(647,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(648,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(649,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(650,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(651,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(652,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(653,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(654,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(655,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(656,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(657,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(658,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(659,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(660,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(661,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(662,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(663,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(664,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(665,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(666,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(667,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(668,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(669,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(670,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(671,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(672,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(673,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(674,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(675,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(676,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(677,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(678,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(679,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(680,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(681,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(682,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(683,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(684,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(685,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(686,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(687,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(688,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(689,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(690,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(691,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(692,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(693,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(694,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(695,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(696,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(697,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(698,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(699,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(700,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(701,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(702,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(703,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(704,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(705,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(706,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(707,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(708,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(709,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(710,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(711,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(712,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(713,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(714,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(715,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(716,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(717,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(718,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(719,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(720,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(721,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(722,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(723,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(724,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(725,plain,
! [SV3: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(726,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(727,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(728,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(729,plain,
! [SV3: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(730,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[682]) ).
thf(731,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[683]) ).
thf(732,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(733,plain,
! [SV3: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(734,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(735,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(736,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(737,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(738,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(739,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(740,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(741,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(742,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(743,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(744,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(745,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(746,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(747,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(748,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(749,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(750,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(751,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(752,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(753,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[705]) ).
thf(754,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(755,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(756,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(757,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(758,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(759,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(760,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(761,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(762,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(763,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(764,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(765,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(766,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(767,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(768,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(769,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(770,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[379,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,601,600,599,598,597,595,593,591,589,588,587,586,585,583,581,579,577,576,575,574,573,571,569,567,565,564,537,536,515,501,500,495,494,476,467,459,456,453,421,410,406,381,380]) ).
thf(771,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP038^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n004.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Oct 6 11:14:39 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.73/0.47 ..
% 1.73/0.47
% 1.73/0.47 No.of.Axioms: 16
% 1.73/0.47
% 1.73/0.47 Length.of.Defs: 0
% 1.73/0.47
% 1.73/0.47 Contains.Choice.Funs: false
% 1.73/0.47 .........
% 1.73/0.47
% 1.73/0.47 ********************************
% 1.73/0.47 * All subproblems solved! *
% 1.73/0.47 ********************************
% 1.73/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:16,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:770,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.73/0.47
% 1.73/0.47 %**** Beginning of derivation protocol ****
% 1.73/0.47 % SZS output start CNFRefutation
% See solution above
% 1.73/0.47
% 1.73/0.47 %**** End of derivation protocol ****
% 1.73/0.47 %**** no. of clauses in derivation: 430 ****
% 1.73/0.47 %**** clause counter: 770 ****
% 1.73/0.47
% 1.73/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:16,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:770,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------